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METODO DE INTEGRA DATOS: CALCULOS Q = 5 h= 0.503 n = 0.025 1.403 So = 0.0005 2.303 b = 2.5 Yn = 1.375 Z = 1.5 Yc= 0.647 P = 1.8 C= 2 L = 7 y A T R V SE 1 2 3 4 5 6 2.30 13.69 9.40 1.2680 0.3654 0.0000607922 2.20 12.76 9.10 1.2231 0.3918 0.0000733646 2.10 11.87 8.80 1.1781 0.4214 0.0000892063 2.00 11.00 8.50 1.1327 0.4545 0.0001093627 1.90 10.17 8.20 1.0871 0.4919 0.0001352835 1.80 9.36 7.90 1.0412 0.5342 0.0001690102 1.70 8.59 7.60 0.9949 0.5824 0.0002134661 1.65 8.21 7.45 0.9715 0.6091 0.0002409802 1.60 7.84 7.30 0.9481 0.6378 0.0002729159 1.55 7.48 7.15 0.9246 0.6686 0.0003101379 1.50 7.13 7.00 0.9009 0.7018 0.0003537121 1.48 6.99 6.94 0.8915 0.7158 0.0003732068 1.46 6.85 6.88 0.8819 0.7302 0.0003940242 1.44 6.71 6.82 0.8724 0.7451 0.0004162720 1.43 6.64 6.79 0.8676 0.7527 0.0004279688 1.42 6.57 6.76 0.8628 0.7605 0.0004400682 1.41 6.51 6.73 0.8580 0.7684 0.0004525868 1.40 6.44 6.70 0.8532 0.7764 0.0004655419 Y2= Y1= 30000.00 F(y) VS Y
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2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

Jul 12, 2016

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2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA
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Page 1: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

METODO DE INTEGRACION GRAFICA

DATOS: CALCULOS

Q = 5 h= 0.503

n = 0.025 1.403So = 0.0005 2.303

b = 2.5 Yn = 1.375

Z = 1.5 Yc= 0.647P = 1.8

C= 2

L = 7

y A T R V SE

1 2 3 4 5 6

2.30 13.69 9.40 1.2680 0.3654 0.0000607922

2.20 12.76 9.10 1.2231 0.3918 0.0000733646

2.10 11.87 8.80 1.1781 0.4214 0.0000892063

2.00 11.00 8.50 1.1327 0.4545 0.0001093627

1.90 10.17 8.20 1.0871 0.4919 0.0001352835

1.80 9.36 7.90 1.0412 0.5342 0.0001690102

1.70 8.59 7.60 0.9949 0.5824 0.0002134661

1.65 8.21 7.45 0.9715 0.6091 0.0002409802

1.60 7.84 7.30 0.9481 0.6378 0.0002729159

1.55 7.48 7.15 0.9246 0.6686 0.0003101379

1.50 7.13 7.00 0.9009 0.7018 0.0003537121

1.48 6.99 6.94 0.8915 0.7158 0.0003732068

1.46 6.85 6.88 0.8819 0.7302 0.0003940242

1.44 6.71 6.82 0.8724 0.7451 0.0004162720

1.43 6.64 6.79 0.8676 0.7527 0.0004279688

1.42 6.57 6.76 0.8628 0.7605 0.0004400682

1.41 6.51 6.73 0.8580 0.7684 0.0004525868

1.40 6.44 6.70 0.8532 0.7764 0.0004655419

Y2=Y1=

1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.400.00

2000.004000.006000.008000.00

10000.0012000.0014000.0016000.0018000.0020000.0022000.0024000.0026000.0028000.0030000.00

F(y) VS Y

F(y) VS Y

Page 2: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.400.00

2000.004000.006000.008000.00

10000.0012000.0014000.0016000.0018000.0020000.0022000.0024000.0026000.0028000.0030000.00

F(y) VS Y

F(y) VS Y

Page 3: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

METODO DE INTEGRACION GRAFICA

CLASIFICACION An= 6.2734375 Ac= 2.2454135

TIPO DE CURVA : ZONA : Pn= 7.457633 Pc= 4.8327917

M1 Sn= 0.00049996 Sc= 0.0086118

M

SECCION DE CONTROLIZQUIERDA DERECHA

1-(Q^2)T/gA^3 SO-SE f( y )=7/8 ∆x=A x X

7 8 9 10 11

0.99065 0.00044 2255.55

0.98884 0.00043 2317.76 228.67 228.67 3648.94 -228.67

0.98657 0.00041 2401.63 235.97 464.63 3414.22 -464.63

0.98373 0.00039 2518.26 245.99 710.63 3236.96 -710.63

0.98010 0.00036 2687.30 260.28 970.91 3093.27 -970.91

0.97545 0.00033 2947.07 281.72 1252.63 2971.67 -1252.63

0.96939 0.00029 3383.16 316.51 1569.14 2769.90 -1569.14

0.96568 0.00026 3728.19 177.78 1746.92 2605.92 -1746.92

0.96139 0.00023 4233.65 199.05 1945.97 2466.15 -1945.97

0.95644 0.00019 5037.55 231.78 2177.75 2177.75 -2177.75

0.95068 0.00015 6498.70 288.41 2466.15 1945.97 -2466.15

0.94812 0.00013 7477.67 139.76 2605.92 1746.92 -2605.92

0.94539 0.00011 8920.80 163.98 2769.90 1569.14 -2769.90

0.94248 0.00008 11256.47 201.77 2971.67 1252.63 -2971.67

0.94096 0.00007 13063.17 121.60 3093.27 970.91 -3093.27

0.93938 0.00006 15674.16 143.69 3236.96 710.63 -3236.96

0.93775 0.00005 19778.32 177.26 3414.22 464.63 -3414.22

0.93607 0.00003 27165.56 234.72 3648.94 228.67 -3648.94

0 500 1000 1500 2000 2500 3000 3500 40000.00

0.50

1.00

1.50

2.00

2.50

PERFIL

X VS Y

SEGUN LAS PENDIENTES

SEGÙN LOS TIRANTES

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0 500 1000 1500 2000 2500 3000 3500 40000.00

0.50

1.00

1.50

2.00

2.50

PERFIL

X VS Y

Page 5: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

PRIMERA ITERACION

Y normal

174.692811 Yn=

0.1 0.0002 0

0.15 0.0012 0 02.54841998 0.2 0.0053 0 0

0.25 0.0166 0 00.3 0.0423 0 0

0.35 0.0940 0 00.4 0.1886 0 0

0.45 0.3503 0 0

0.5 0.6120 0 00.55 1.0177 0 00.6 1.6246 0 0

0.65 2.5061 0 00.7 3.7545 0 0

0.75 5.4846 0 00.8 7.8375 0 0

0.85 10.9848 0 00.9 15.1334 0 0

0.95 20.5305 0 01 27.4695 0 0

1.05 36.2961 0 01.1 47.4153 0 0

1.15 61.2988 0 0

1.2 78.4932 0 01.25 99.6285 0 01.3 125.4282 0 0

1.35 156.7192 1.35 01.4 194.4428 0 1.4

1.45 239.6670 0 01.5 293.5994 0 0

ITERACIONES PARA EL CALCULO DEL TIRANTE NORMAL Y CRITICO

32/1)

*(S

nQ 2

5

p

A

g

Q 2

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1.55 357.6003 0 01.6 433.1983 0 0

1.65 522.1053 0 01.7 626.2339 0 0

1.75 747.7147 0 01.8 888.9158 0 0

1.85 1052.4627 0 01.9 1241.2602 0 0

1.95 1458.5146 0 02 1707.7581 0 0

1.35 1.4

VARIACION "Yn" PARA 20 PARTICIONES= 0.0025

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PRIMERA ITERACION SEGUNDA ITERACION

Y critico Y normal

Yc= Yn=

0.1 0.0066 0 0 1.35

0.15 0.0232 0 0 1 1.35250.2 0.0567 0 0 2 1.355

0.25 0.1142 0 0 3 1.35750.3 0.2039 0 0 4 1.36

0.35 0.3343 0 0 5 1.36250.4 0.5153 0 0 6 1.365

0.45 0.7575 0 0 7 1.3675

0.5 1.0728 0 0 8 1.370.55 1.4737 0 0 9 1.37250.6 1.9743 0.6 0 10 1.375

0.65 2.5897 0 0.65 11 1.37750.7 3.3360 0 0 12 1.38

0.75 4.2307 0 0 13 1.38250.8 5.2927 0 0 14 1.385

0.85 6.5421 0 0 15 1.38750.9 8.0003 0 0 16 1.39

0.95 9.6903 0 0 17 1.39251 11.6364 0 0 18 1.395

1.05 13.8644 0 0 19 1.39751.1 16.4019 0 0 20 1.4

1.15 19.2778 0 0

1.2 22.5226 0 01.25 26.1688 0 0 VARIAC. "Yn" PARA 20 PARTIC.=

1.3 30.2503 0 01.35 34.8029 0 01.4 39.8642 0 0

1.45 45.4735 0 01.5 51.6722 0 0

ITERACIONES PARA EL CALCULO DEL TIRANTE NORMAL Y CRITICO

T

A3

Page 8: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.55 58.5034 0 01.6 66.0124 0 0

1.65 74.2463 0 01.7 83.2544 0 0

1.75 93.0881 0 01.8 103.8007 0 0

1.85 115.4481 0 01.9 128.0880 0 0

1.95 141.7805 0 02 156.5882 0 0

0.6 0.65

VARIACION "Yc" PARA 20 PARTICIONES= 0.0025

Page 9: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

SEGUNDA ITERACION

Y normal Y critico

Yc=

156.7192 0 0 0.6 1.9743 0

158.4442 0 0 1 0.6025 2.0023 0 0160.1855 0 0 2 0.605 2.0305 0 0161.9430 0 0 3 0.6075 2.0589 0 0163.7170 0 0 4 0.61 2.0877 0 0165.5076 0 0 5 0.6125 2.1168 0 0167.3148 0 0 6 0.615 2.1462 0 0169.1389 0 0 7 0.6175 2.1759 0 0

170.9799 0 0 8 0.62 2.2058 0 0172.8380 1.3725 0 9 0.6225 2.2361 0 0174.7133 0 1.375 10 0.625 2.2667 0 0176.6059 0 0 11 0.6275 2.2976 0 0178.5160 0 0 12 0.63 2.3288 0 0180.4438 0 0 13 0.6325 2.3603 0 0182.3893 0 0 14 0.635 2.3921 0 0184.3527 0 0 15 0.6375 2.4242 0 0186.3341 0 0 16 0.64 2.4567 0 0188.3337 0 0 17 0.6425 2.4894 0 0190.3516 0 0 18 0.645 2.5225 0.645 0192.3879 0 0 19 0.6475 2.5559 0 0.6475194.4428 0 0 20 0.65 2.5897 0 0

1.3725 1.375 0.645 0.6475

VARIAC. "Yn" PARA 20 PARTIC.= 0.000125 VARIAC. "Yc" PARA 20 PARTIC.= 0.000125

2

5

p

A

T

A3

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TERCERA ITERACION

Y normal Y critico

Y= Yc=

0 1.3725 172.8380 0 0 0.6450 2.5225

1 1.3726 172.9313 0 1 0.6451 2.52422 1.3728 173.0247 0 2 0.6453 2.52583 1.3729 173.1181 0 3 0.6454 2.52754 1.3730 173.2116 0 4 0.6455 2.52925 1.3731 173.3052 0 5 0.6456 2.53086 1.3733 173.3987 0 6 0.6458 2.53257 1.3734 173.4923 0 7 0.6459 2.5342

8 1.3735 173.5860 0 8 0.6460 2.53589 1.3736 173.6797 0 9 0.6461 2.5375

10 1.3738 173.7734 0 10 0.6463 2.539211 1.3739 173.8672 0 11 0.6464 2.540912 1.3740 173.9611 0 12 0.6465 2.542513 1.3741 174.0549 0 13 0.6466 2.544214 1.3743 174.1489 0 14 0.6468 2.545915 1.3744 174.2428 0 15 0.6469 2.547616 1.3745 174.3368 0 16 0.6470 2.549217 1.3746 174.4309 0 17 0.6471 2.550918 1.3748 174.5249 0 18 0.6473 2.552619 1.3749 174.6191 1.374875 19 0.6474 2.554320 1.3750 174.7133 0 20 0.6475 2.5559

Y normal =1.37488 Y critico=

2

5

p

A

T

A3

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TERCERA ITERACION

Y critico

0

0000000

0000000

0.64687500000

0.646875

T

A3

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Page 15: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

METODO DE INTEGRACION DIRECTA - SOLUCIÓN DE BAKHMETEFF-VEN TE CHOW

DATOS: TRAMO 01Q = 2 CON LOS DATOS CALCULADOS:

n = 0.015 CLASIFICACION

So = 0.001 TIPO DE CURVA : ZONA :

b = 0.6 M2Z = 1

P = 1.8

C= 2

L = 7 SI(I8<I7,"M",SI(I7=I8,"C",SI(I7<I8,"S","H o A" )))SI(Y(I7<I10,I8<I10),"1",SI(Y(I7>I10,I10>I8),"2",SI(Y(I8>I10,I10>I7),"2",SI(Y(I10<I7,I10<I8),"3","0 "))))

Y U=Y/Yn V=U^(N/J) F(u,N) F(v,J)

0 0.714 0.7190 0.6730 0.7590 0.7163

1 0.7438888889 0.7491 0.7069 0.8003 0.7630

2 0.7737777778 0.7792 0.7412 0.8447 0.8135

3 0.8036666667 0.8093 0.7757 0.8932 0.8691

4 0.8335555556 0.8394 0.8105 0.9474 0.9316

5 0.8634444444 0.8695 0.8455 1.0096 1.0040

6 0.8933333333 0.8996 0.8807 1.0845 1.0918

7 0.9232222222 0.9297 0.9162 1.1814 1.2061

8 0.9531111111 0.9598 0.9520 1.3262 1.3779

9 0.983 0.9899 0.9879 1.6702 1.7876

0.0000 0.0000

-440-420-400-380-360-340-320-300-280-260-240-220-200-180-160-140-120-100 -80 -60 -40 -20 00.000

0.200

0.400

0.600

0.800

1.000

1.200

Solución de Bakhmeteff

Column C

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METODO DE INTEGRACION DIRECTA - SOLUCIÓN DE BAKHMETEFF-VEN TE CHOW

TRAMO 01CON LOS DATOS CALCULADOS: DATOS ADICIONALES CALCULADOS:

h= 0.2732758833

Yn= 0.993 N= 4.2193

Yc= 0.714 M= 4.0185

Yo= 0.714 J= 3.5139

Yf1= 0.983 N tramos= 9

Yp= 0.8485 0.02988889

SI(I8<I7,"M",SI(I7=I8,"C",SI(I7<I8,"S","H o A" )))SI(Y(I7<I10,I8<I10),"1",SI(Y(I7>I10,I10>I8),"2",SI(Y(I8>I10,I10>I7),"2",SI(Y(I10<I7,I10<I8),"3","0 "))))

Δx x

117.6898 0

116.8281 -0.8617

113.7230 -3.9667

107.6672 -10.0226 FÓRMULAS:

97.4672 -20.2225

81.4984 -36.1914

56.3019 -61.3879

15.0817 -102.6081

-61.0700 -178.7598

-282.7588 -400.4485

-440-420-400-380-360-340-320-300-280-260-240-220-200-180-160-140-120-100 -80 -60 -40 -20 00.000

0.200

0.400

0.600

0.800

1.000

1.200

Solución de Bakhmeteff

Column C

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

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PRIMERA ITERACION(para calcular "Yn" y "Yc")Y normal

0.85381497 Yn=0.1 0.0000 0

0.15 0.0000 0

0.4077472 0.2 0.0001 0

0.25 0.0003 00.3 0.0007 0

0.35 0.0016 00.4 0.0034 0

0.45 0.0067 00.5 0.0124 0

0.55 0.0218 0

0.6 0.0367 0

0.65 0.0595 00.7 0.0938 0

0.75 0.1437 00.8 0.2150 0

0.85 0.3151 00.9 0.4532 0

0.95 0.6407 0.951 0.8921 0

1.05 1.2248 01.1 1.6602 0

1.15 2.2241 0

1.2 2.9473 01.25 3.8667 01.3 5.0259 0

1.35 6.4761 01.4 8.2775 0

1.45 10.5000 01.5 13.2248 0

1.55 16.5457 01.6 20.5704 0

1.65 25.4227 01.7 31.2434 0

1.75 38.1929 01.8 46.4532 0

1.85 56.2297 01.9 67.7542 0

1.95 81.2867 02 97.1191 0

0.95

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

32/1)

*(S

nQ 2

5

pA

g

Q 2

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VARIACION "Yn" PARA 20 PARTICIONES=

PRIMERA ITERACION(para calcular "Yn" y "Yc")Y normal

#DIV/0! Yn=0.1 0.0000 0

0.15 0.0000 00 0.2 0.0001 0

0.25 0.0003 00.3 0.0007 0

0.35 0.0016 00.4 0.0034 0

0.45 0.0067 00.5 0.0124 0

0.55 0.0218 00.6 0.0367 0

0.65 0.0595 00.7 0.0938 0

0.75 0.1437 00.8 0.2150 0

0.85 0.3151 00.9 0.4532 0

0.95 0.6407 0.951 0.8921 0

1.05 1.2248 01.1 1.6602 0

1.15 2.2241 0

1.2 2.9473 01.25 3.8667 01.3 5.0259 0

1.35 6.4761 01.4 8.2775 0

1.45 10.5000 01.5 13.2248 0

1.55 16.5457 01.6 20.5704 0

1.65 25.4227 01.7 31.2434 0

1.75 38.1929 01.8 46.4532 0

1.85 56.2297 01.9 67.7542 0

32/1)

*(S

nQ 2

5

p

A

g

Q 2

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1.95 81.2867 02 97.1191 0

0.95

VARIACION "Yn" PARA 20 PARTICIONES=

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PRIMERA ITERACION(para calcular "Yn" y "Yc") SEGUNDA ITERACION(para calcular "Yn" y "Yc")Y normal Y critico Y normal

Yc=0.1 0.0004 0 0

0 0.15 0.0016 0 0 1

0 0.2 0.0041 0 0 2

0 0.25 0.0087 0 0 30 0.3 0.0164 0 0 40 0.35 0.0283 0 0 50 0.4 0.0457 0 0 6

0 0.45 0.0703 0 0 70 0.5 0.1040 0 0 80 0.55 0.1488 0 0 9

0 0.6 0.2074 0 0 10

0 0.65 0.2823 0 0 110 0.7 0.3768 0.7 0 120 0.75 0.4943 0 0.75 130 0.8 0.6386 0 0 140 0.85 0.8140 0 0 150 0.9 1.0252 0 0 160 0.95 1.2771 0 0 171 1 1.5754 0 0 180 1.05 1.9260 0 0 190 1.1 2.3354 0 0 20

0 1.15 2.8107 0 0

0 1.2 3.3592 0 00 1.25 3.9892 0 0 VARIAC. "Yn" PARA 20 PARTIC.=

0 1.3 4.7091 0 00 1.35 5.5283 0 00 1.4 6.4565 0 00 1.45 7.5041 0 00 1.5 8.6822 0 00 1.55 10.0025 0 00 1.6 11.4774 0 00 1.65 13.1200 0 00 1.7 14.9441 0 00 1.75 16.9642 0 00 1.8 19.1956 0 00 1.85 21.6543 0 00 1.9 24.3572 0 00 1.95 27.3220 0 00 2 30.5670 0 01 0.7 0.75

T

A3

Page 31: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0.0025 VARIACION "Yc" PARA 20 PARTICIONES= 0.0025

PRIMERA ITERACION(para calcular "Yn" y "Yc") SEGUNDA ITERACIONY normal Y critico Y normal

Yc=0.1 0.0004 0 0

0 0.15 0.0016 0 0 10 0.2 0.0041 0 0 2

0 0.25 0.0087 0 0 30 0.3 0.0164 0 0 40 0.35 0.0283 0 0 50 0.4 0.0457 0 0 6

0 0.45 0.0703 0 0 70 0.5 0.1040 0 0 80 0.55 0.1488 0 0 90 0.6 0.2074 0 0 100 0.65 0.2823 0 0 110 0.7 0.3768 0.7 0 120 0.75 0.4943 0 0.75 130 0.8 0.6386 0 0 140 0.85 0.8140 0 0 150 0.9 1.0252 0 0 160 0.95 1.2771 0 0 171 1 1.5754 0 0 180 1.05 1.9260 0 0 190 1.1 2.3354 0 0 200 1.15 2.8107 0 0

0 1.2 3.3592 0 00 1.25 3.9892 0 0 VARIAC. "Yn" PARA 20 PARTIC.=

0 1.3 4.7091 0 00 1.35 5.5283 0 00 1.4 6.4565 0 00 1.45 7.5041 0 00 1.5 8.6822 0 00 1.55 10.0025 0 00 1.6 11.4774 0 00 1.65 13.1200 0 00 1.7 14.9441 0 00 1.75 16.9642 0 00 1.8 19.1956 0 00 1.85 21.6543 0 00 1.9 24.3572 0 0

T

A3

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0 1.95 27.3220 0 00 2 30.5670 0 01 0.7 0.75

0.0025 VARIACION "Yc" PARA 20 PARTICIONES= 0.0025

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SEGUNDA ITERACION(para calcular "Yn" y "Yc")Y normal Y critico

Yn= Yc=0.95 0.6407 0 0 0.7

0.9525 0.6517 0 0 1 0.7025

0.955 0.6627 0 0 2 0.705

0.9575 0.6740 0 0 3 0.70750.96 0.6854 0 0 4 0.71

0.9625 0.6970 0 0 5 0.71250.965 0.7087 0 0 6 0.715

0.9675 0.7206 0 0 7 0.71750.97 0.7327 0 0 8 0.72

0.9725 0.7450 0 0 9 0.7225

0.975 0.7574 0 0 10 0.725

0.9775 0.7700 0 0 11 0.72750.98 0.7828 0 0 12 0.73

0.9825 0.7958 0 0 13 0.73250.985 0.8090 0 0 14 0.735

0.9875 0.8224 0 0 15 0.73750.99 0.8359 0 0 16 0.74

0.9925 0.8497 0.9925 0 17 0.74250.995 0.8636 0 0.995 18 0.745

0.9975 0.8778 0 0 19 0.74751 0.8921 0 0 20 0.75

0.9925 0.995

VARIAC. "Yn" PARA 20 PARTIC.= 0.000125 VARIAC. "Yc" PARA 20 PARTIC.=

2

5

p

A

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SEGUNDA ITERACIONY normal Y critico

Yn= Yc=0.95 0.6407 0 0 0.7

0.9525 0.6517 0 0 1 0.70250.955 0.6627 0 0 2 0.705

0.9575 0.6740 0 0 3 0.70750.96 0.6854 0 0 4 0.71

0.9625 0.6970 0 0 5 0.71250.965 0.7087 0 0 6 0.715

0.9675 0.7206 0 0 7 0.71750.97 0.7327 0 0 8 0.72

0.9725 0.7450 0 0 9 0.72250.975 0.7574 0 0 10 0.725

0.9775 0.7700 0 0 11 0.72750.98 0.7828 0 0 12 0.73

0.9825 0.7958 0 0 13 0.73250.985 0.8090 0 0 14 0.735

0.9875 0.8224 0 0 15 0.73750.99 0.8359 0 0 16 0.74

0.9925 0.8497 0.9925 0 17 0.74250.995 0.8636 0 0.995 18 0.745

0.9975 0.8778 0 0 19 0.74751 0.8921 0 0 20 0.75

0.9925 0.995

VARIAC. "Yn" PARA 20 PARTIC.= 0.000125 VARIAC. "Yc" PARA 20 PARTIC.=

2

5

pA

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Page 40: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

SEGUNDA ITERACION(para calcular "Yn" y "Yc") TERCERA ITERACION(para calcular "Yn" y "Yc")Y critico Y normal

Y=0.3768 0 0 0.9925 0.84970.3821 0 0 1 0.9926 0.8504

0.3874 0 0 2 0.9928 0.8511

0.3929 0 0 3 0.9929 0.85180.3983 0 0 4 0.9930 0.85240.4039 0.7125 0 5 0.9931 0.85310.4094 0 0.715 6 0.9933 0.8538

0.4151 0 0 7 0.9934 0.85450.4208 0 0 8 0.9935 0.85520.4266 0 0 9 0.9936 0.8559

0.4324 0 0 10 0.9938 0.8566

0.4383 0 0 11 0.9939 0.85730.4443 0 0 12 0.9940 0.85800.4503 0 0 13 0.9941 0.85870.4564 0 0 14 0.9943 0.85940.4625 0 0 15 0.9944 0.86010.4688 0 0 16 0.9945 0.86080.4750 0 0 17 0.9946 0.86150.4814 0 0 18 0.9948 0.86220.4878 0 0 19 0.9949 0.86290.4943 0 0 20 0.9950 0.8636

0.7125 0.715

Y normal =VARIAC. "Yc" PARA 20 PARTIC.= 0.000125

2

5

p

A

T

A3

Page 41: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

SEGUNDA ITERACION TERCERA ITERACIONY critico Y normal

Y=0.3768 0 0 0.9925 0.84970.3821 0 0 1 0.9926 0.85040.3874 0 0 2 0.9928 0.8511

0.3929 0 0 3 0.9929 0.85180.3983 0 0 4 0.9930 0.85240.4039 0.7125 0 5 0.9931 0.85310.4094 0 0.715 6 0.9933 0.8538

0.4151 0 0 7 0.9934 0.85450.4208 0 0 8 0.9935 0.85520.4266 0 0 9 0.9936 0.85590.4324 0 0 10 0.9938 0.85660.4383 0 0 11 0.9939 0.85730.4443 0 0 12 0.9940 0.85800.4503 0 0 13 0.9941 0.85870.4564 0 0 14 0.9943 0.85940.4625 0 0 15 0.9944 0.86010.4688 0 0 16 0.9945 0.86080.4750 0 0 17 0.9946 0.86150.4814 0 0 18 0.9948 0.86220.4878 0 0 19 0.9949 0.86290.4943 0 0 20 0.9950 0.8636

0.7125 0.715

Y normal =VARIAC. "Yc" PARA 20 PARTIC.= 0.000125

2

5

p

A

T

A3

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Page 45: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

TERCERA ITERACION(para calcular "Yn" y "Yc")Y normal Y critico

Yc=0 0 0.7125 0.4039 00 1 0.7126 0.4041 0

0 2 0.7128 0.4044 0

0 3 0.7129 0.4047 00 4 0.7130 0.4050 0

0.993125 5 0.7131 0.4052 00 6 0.7133 0.4055 0

0 7 0.7134 0.4058 00 8 0.7135 0.4061 00 9 0.7136 0.4064 0

0 10 0.7138 0.4066 0

0 11 0.7139 0.4069 00 12 0.7140 0.4072 00 13 0.7141 0.4075 0.7141250 14 0.7143 0.4078 00 15 0.7144 0.4080 00 16 0.7145 0.4083 00 17 0.7146 0.4086 00 18 0.7148 0.4089 00 19 0.7149 0.4092 00 20 0.7150 0.4094 0

0.9931 Y critico= 0.7141

2

5

p

A

T

A3

Page 46: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

TERCERA ITERACIONY normal Y critico

Yc=0 0 0.7125 0.4039 00 1 0.7126 0.4041 00 2 0.7128 0.4044 0

0 3 0.7129 0.4047 00 4 0.7130 0.4050 0

0.993125 5 0.7131 0.4052 00 6 0.7133 0.4055 0

0 7 0.7134 0.4058 00 8 0.7135 0.4061 00 9 0.7136 0.4064 00 10 0.7138 0.4066 00 11 0.7139 0.4069 00 12 0.7140 0.4072 00 13 0.7141 0.4075 0.7141250 14 0.7143 0.4078 00 15 0.7144 0.4080 00 16 0.7145 0.4083 00 17 0.7146 0.4086 00 18 0.7148 0.4089 00 19 0.7149 0.4092 00 20 0.7150 0.4094 0

0.993125 Y critico= 0.71413

2

5

p

A

T

A3

Page 47: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA
Page 48: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA
Page 49: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA
Page 50: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 0.7190

N 4.2193

RESULTADO

F(u,N) 0.7590

CALCULOSxo 0 N tramos= 200

xn 0.71903 0.003595

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.003595 1.000000 1.000000 0.003595

2 0.007190 1.000000 1.000000 0.003595

3 0.010785 1.000000 1.000000 0.003595

4 0.014381 1.000000 1.000000 0.003595

5 0.017976 1.000000 1.000000 0.003595

6 0.021571 1.000000 1.000000 0.003595

7 0.025166 1.000000 1.000000 0.003595

8 0.028761 1.000000 1.000000 0.003595

9 0.032356 1.000001 1.000000 0.003595

10 0.035952 1.000001 1.000001 0.003595

11 0.039547 1.000001 1.000001 0.003595

12 0.043142 1.000002 1.000001 0.003595

13 0.046737 1.000002 1.000002 0.003595

14 0.050332 1.000003 1.000003 0.003595

15 0.053927 1.000004 1.000004 0.003595

16 0.057523 1.000006 1.000005 0.003595

17 0.061118 1.000008 1.000007 0.003595

18 0.064713 1.000010 1.000009 0.003595

19 0.068308 1.000012 1.000011 0.003595

20 0.071903 1.000015 1.000014 0.003595

21 0.075498 1.000018 1.000017 0.003595

22 0.079094 1.000022 1.000020 0.003595

23 0.082689 1.000027 1.000025 0.003595

24 0.086284 1.000032 1.000030 0.003595

25 0.089879 1.000038 1.000035 0.003595

26 0.093474 1.000045 1.000042 0.003595

27 0.097069 1.000053 1.000049 0.003595

MÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOSMÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOS

0

CÁLCULO DE F(u,N)CÁLCULO DE F(u,N)

Page 51: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

28 0.100665 1.000062 1.000058 0.003595

29 0.104260 1.000072 1.000067 0.003595

30 0.107855 1.000083 1.000078 0.003595

31 0.111450 1.000095 1.000089 0.003595

32 0.115045 1.000109 1.000102 0.003596

33 0.118640 1.000124 1.000117 0.003596

34 0.122236 1.000141 1.000132 0.003596

35 0.125831 1.000159 1.000150 0.003596

36 0.129426 1.000179 1.000169 0.003596

37 0.133021 1.000201 1.000190 0.003596

38 0.136616 1.000225 1.000213 0.003596

39 0.140211 1.000251 1.000238 0.003596

40 0.143807 1.000280 1.000265 0.003596

41 0.147402 1.000310 1.000295 0.003596

42 0.150997 1.000344 1.000327 0.003596

43 0.154592 1.000379 1.000361 0.003596

44 0.158187 1.000418 1.000399 0.003597

45 0.161782 1.000460 1.000439 0.003597

46 0.165378 1.000504 1.000482 0.003597

47 0.168973 1.000552 1.000528 0.003597

48 0.172568 1.000604 1.000578 0.003597

49 0.176163 1.000659 1.000631 0.003597

50 0.179758 1.000717 1.000688 0.003598

51 0.183353 1.000780 1.000748 0.003598

52 0.186949 1.000846 1.000813 0.003598

53 0.190544 1.000917 1.000882 0.003598

54 0.194139 1.000993 1.000955 0.003599

55 0.197734 1.001073 1.001033 0.003599

56 0.201329 1.001157 1.001115 0.003599

57 0.204924 1.001247 1.001202 0.003599

58 0.208520 1.001342 1.001295 0.003600

59 0.212115 1.001443 1.001393 0.003600

60 0.215710 1.001549 1.001496 0.003601

61 0.219305 1.001661 1.001605 0.003601

62 0.222900 1.001779 1.001720 0.003601

63 0.226495 1.001904 1.001842 0.003602

64 0.230091 1.002035 1.001969 0.003602

65 0.233686 1.002173 1.002104 0.003603

66 0.237281 1.002318 1.002245 0.003603

67 0.240876 1.002470 1.002394 0.003604

68 0.244471 1.002630 1.002550 0.003604

69 0.248066 1.002797 1.002713 0.003605

70 0.251662 1.002973 1.002885 0.003606

71 0.255257 1.003157 1.003065 0.003606

72 0.258852 1.003349 1.003253 0.003607

Page 52: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

73 0.262447 1.003551 1.003450 0.003608

74 0.266042 1.003761 1.003656 0.003608

75 0.269637 1.003981 1.003871 0.003609

76 0.273233 1.004211 1.004096 0.003610

77 0.276828 1.004451 1.004331 0.003611

78 0.280423 1.004701 1.004576 0.003612

79 0.284018 1.004962 1.004832 0.003613

80 0.287613 1.005234 1.005098 0.003613

81 0.291208 1.005517 1.005376 0.003614

82 0.294804 1.005812 1.005665 0.003616

83 0.298399 1.006119 1.005966 0.003617

84 0.301994 1.006438 1.006279 0.003618

85 0.305589 1.006770 1.006604 0.003619

86 0.309184 1.007115 1.006942 0.003620

87 0.312779 1.007473 1.007294 0.003621

88 0.316375 1.007845 1.007659 0.003623

89 0.319970 1.008232 1.008038 0.003624

90 0.323565 1.008632 1.008432 0.003625

91 0.327160 1.009048 1.008840 0.003627

92 0.330755 1.009479 1.009264 0.003628

93 0.334350 1.009926 1.009703 0.003630

94 0.337946 1.010389 1.010157 0.003632

95 0.341541 1.010868 1.010629 0.003633

96 0.345136 1.011365 1.011117 0.003635

97 0.348731 1.011879 1.011622 0.003637

98 0.352326 1.012411 1.012145 0.003639

99 0.355921 1.012961 1.012686 0.003641

100 0.359517 1.013530 1.013245 0.003643

101 0.363112 1.014118 1.013824 0.003645

102 0.366707 1.014726 1.014422 0.003647

103 0.370302 1.015355 1.015040 0.003649

104 0.373897 1.016004 1.015679 0.003652

105 0.377492 1.016674 1.016339 0.003654

106 0.381088 1.017366 1.017020 0.003656

107 0.384683 1.018081 1.017724 0.003659

108 0.388278 1.018818 1.018450 0.003661

109 0.391873 1.019579 1.019199 0.003664

110 0.395468 1.020364 1.019971 0.003667

111 0.399063 1.021173 1.020769 0.003670

112 0.402659 1.022008 1.021591 0.003673

113 0.406254 1.022868 1.022438 0.003676

114 0.409849 1.023755 1.023311 0.003679

115 0.413444 1.024669 1.024212 0.003682

116 0.417039 1.025610 1.025139 0.003686

117 0.420634 1.026579 1.026095 0.003689

118 0.424230 1.027578 1.027079 0.003693

Page 53: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

119 0.427825 1.028606 1.028092 0.003696

120 0.431420 1.029665 1.029136 0.003700

121 0.435015 1.030754 1.030210 0.003704

122 0.438610 1.031876 1.031315 0.003708

123 0.442205 1.033030 1.032453 0.003712

124 0.445801 1.034217 1.033623 0.003716

125 0.449396 1.035438 1.034828 0.003720

126 0.452991 1.036694 1.036066 0.003725

127 0.456586 1.037986 1.037340 0.003729

128 0.460181 1.039315 1.038650 0.003734

129 0.463776 1.040680 1.039997 0.003739

130 0.467372 1.042084 1.041382 0.003744

131 0.470967 1.043527 1.042806 0.003749

132 0.474562 1.045010 1.044269 0.003754

133 0.478157 1.046535 1.045773 0.003760

134 0.481752 1.048101 1.047318 0.003765

135 0.485347 1.049710 1.048905 0.003771

136 0.488943 1.051363 1.050536 0.003777

137 0.492538 1.053061 1.052212 0.003783

138 0.496133 1.054805 1.053933 0.003789

139 0.499728 1.056596 1.055700 0.003795

140 0.503323 1.058436 1.057516 0.003802

141 0.506918 1.060324 1.059380 0.003809

142 0.510514 1.062264 1.061294 0.003816

143 0.514109 1.064255 1.063260 0.003823

144 0.517704 1.066300 1.065278 0.003830

145 0.521299 1.068399 1.067349 0.003837

146 0.524894 1.070553 1.069476 0.003845

147 0.528489 1.072765 1.071659 0.003853

148 0.532085 1.075035 1.073900 0.003861

149 0.535680 1.077364 1.076199 0.003869

150 0.539275 1.079756 1.078560 0.003878

151 0.542870 1.082210 1.080983 0.003886

152 0.546465 1.084728 1.083469 0.003895

153 0.550060 1.087312 1.086020 0.003904

154 0.553656 1.089965 1.088639 0.003914

155 0.557251 1.092686 1.091325 0.003923

156 0.560846 1.095479 1.094083 0.003933

157 0.564441 1.098345 1.096912 0.003944

158 0.568036 1.101285 1.099815 0.003954

159 0.571631 1.104303 1.102794 0.003965

160 0.575227 1.107399 1.105851 0.003976

161 0.578822 1.110576 1.108988 0.003987

162 0.582417 1.113836 1.112206 0.003999

163 0.586012 1.117182 1.115509 0.004010

164 0.589607 1.120614 1.118898 0.004023

Page 54: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

165 0.593202 1.124137 1.122376 0.004035

166 0.596798 1.127752 1.125945 0.004048

167 0.600393 1.131462 1.129607 0.004061

168 0.603988 1.135269 1.133365 0.004075

169 0.607583 1.139176 1.137223 0.004089

170 0.611178 1.143186 1.141181 0.004103

171 0.614773 1.147303 1.145244 0.004117

172 0.618369 1.151527 1.149415 0.004132

173 0.621964 1.155864 1.153696 0.004148

174 0.625559 1.160316 1.158090 0.004164

175 0.629154 1.164887 1.162601 0.004180

176 0.632749 1.169579 1.167233 0.004196

177 0.636344 1.174397 1.171988 0.004213

178 0.639940 1.179345 1.176871 0.004231

179 0.643535 1.184426 1.181885 0.004249

180 0.647130 1.189644 1.187035 0.004268

181 0.650725 1.195004 1.192324 0.004287

182 0.654320 1.200510 1.197757 0.004306

183 0.657915 1.206166 1.203338 0.004326

184 0.661511 1.211978 1.209072 0.004347

185 0.665106 1.217951 1.214964 0.004368

186 0.668701 1.224088 1.221019 0.004390

187 0.672296 1.230397 1.227243 0.004412

188 0.675891 1.236883 1.233640 0.004435

189 0.679486 1.243551 1.240217 0.004459

190 0.683082 1.250407 1.246979 0.004483

191 0.686677 1.257459 1.253933 0.004508

192 0.690272 1.264713 1.261086 0.004534

193 0.693867 1.272176 1.268444 0.004560

194 0.697462 1.279855 1.276015 0.004587

195 0.701057 1.287758 1.283806 0.004615

196 0.704653 1.295893 1.291826 0.004644

197 0.708248 1.304270 1.300081 0.004674

198 0.711843 1.312895 1.308583 0.004705

199 0.715438 1.321781 1.317338 0.004736

200 0.719033 1.330935 1.326358 0.004768

INTEGRAL = 0.75900

Page 55: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 0.7491

N 4.2193

RESULTADO

F(u,N) 0.8003

CALCULOSxo 0 N tramos= 200

xn 0.74913 0.003746

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.003746 1.000000 1.000000 0.003746

2 0.007491 1.000000 1.000000 0.003746

3 0.011237 1.000000 1.000000 0.003746

4 0.014983 1.000000 1.000000 0.003746

5 0.018728 1.000000 1.000000 0.003746

6 0.022474 1.000000 1.000000 0.003746

7 0.026220 1.000000 1.000000 0.003746

8 0.029965 1.000000 1.000000 0.003746

9 0.033711 1.000001 1.000000 0.003746

10 0.037457 1.000001 1.000001 0.003746

11 0.041202 1.000001 1.000001 0.003746

12 0.044948 1.000002 1.000002 0.003746

13 0.048694 1.000003 1.000002 0.003746

14 0.052439 1.000004 1.000003 0.003746

15 0.056185 1.000005 1.000005 0.003746

16 0.059931 1.000007 1.000006 0.003746

17 0.063676 1.000009 1.000008 0.003746

18 0.067422 1.000011 1.000010 0.003746

19 0.071168 1.000014 1.000013 0.003746

20 0.074913 1.000018 1.000016 0.003746

21 0.078659 1.000022 1.000020 0.003746

22 0.082405 1.000027 1.000024 0.003746

23 0.086150 1.000032 1.000029 0.003746

24 0.089896 1.000039 1.000035 0.003746

25 0.093642 1.000046 1.000042 0.003746

26 0.097387 1.000054 1.000050 0.003746

27 0.101133 1.000063 1.000059 0.003746

MÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOSMÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOS

1

CÁLCULO DE F(u,N)CÁLCULO DE F(u,N)

Page 56: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

28 0.104879 1.000074 1.000069 0.003746

29 0.108624 1.000086 1.000080 0.003746

30 0.112370 1.000099 1.000092 0.003746

31 0.116116 1.000113 1.000106 0.003746

32 0.119861 1.000130 1.000122 0.003746

33 0.123607 1.000148 1.000139 0.003746

34 0.127353 1.000167 1.000158 0.003746

35 0.131098 1.000189 1.000178 0.003746

36 0.134844 1.000213 1.000201 0.003746

37 0.138590 1.000239 1.000226 0.003747

38 0.142335 1.000268 1.000253 0.003747

39 0.146081 1.000299 1.000283 0.003747

40 0.149827 1.000332 1.000316 0.003747

41 0.153572 1.000369 1.000351 0.003747

42 0.157318 1.000408 1.000389 0.003747

43 0.161064 1.000451 1.000430 0.003747

44 0.164809 1.000497 1.000474 0.003747

45 0.168555 1.000547 1.000522 0.003748

46 0.172301 1.000600 1.000573 0.003748

47 0.176046 1.000657 1.000628 0.003748

48 0.179792 1.000718 1.000687 0.003748

49 0.183538 1.000783 1.000750 0.003748

50 0.187283 1.000853 1.000818 0.003749

51 0.191029 1.000927 1.000890 0.003749

52 0.194775 1.001006 1.000967 0.003749

53 0.198520 1.001091 1.001049 0.003750

54 0.202266 1.001180 1.001136 0.003750

55 0.206012 1.001275 1.001228 0.003750

56 0.209757 1.001376 1.001326 0.003751

57 0.213503 1.001483 1.001430 0.003751

58 0.217249 1.001596 1.001540 0.003751

59 0.220994 1.001716 1.001656 0.003752

60 0.224740 1.001842 1.001779 0.003752

61 0.228486 1.001976 1.001909 0.003753

62 0.232231 1.002116 1.002046 0.003753

63 0.235977 1.002264 1.002190 0.003754

64 0.239723 1.002420 1.002342 0.003754

65 0.243468 1.002584 1.002502 0.003755

66 0.247214 1.002757 1.002671 0.003756

67 0.250959 1.002938 1.002847 0.003756

68 0.254705 1.003128 1.003033 0.003757

69 0.258451 1.003327 1.003228 0.003758

70 0.262196 1.003536 1.003432 0.003759

71 0.265942 1.003755 1.003646 0.003759

72 0.269688 1.003985 1.003870 0.003760

Page 57: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

73 0.273433 1.004224 1.004104 0.003761

74 0.277179 1.004475 1.004350 0.003762

75 0.280925 1.004737 1.004606 0.003763

76 0.284670 1.005011 1.004874 0.003764

77 0.288416 1.005296 1.005153 0.003765

78 0.292162 1.005594 1.005445 0.003766

79 0.295907 1.005905 1.005750 0.003767

80 0.299653 1.006229 1.006067 0.003768

81 0.303399 1.006566 1.006398 0.003770

82 0.307144 1.006918 1.006742 0.003771

83 0.310890 1.007283 1.007100 0.003772

84 0.314636 1.007664 1.007473 0.003774

85 0.318381 1.008059 1.007861 0.003775

86 0.322127 1.008470 1.008265 0.003777

87 0.325873 1.008897 1.008684 0.003778

88 0.329618 1.009341 1.009119 0.003780

89 0.333364 1.009802 1.009571 0.003782

90 0.337110 1.010280 1.010041 0.003783

91 0.340855 1.010776 1.010528 0.003785

92 0.344601 1.011290 1.011033 0.003787

93 0.348347 1.011823 1.011556 0.003789

94 0.352092 1.012376 1.012099 0.003791

95 0.355838 1.012948 1.012662 0.003793

96 0.359584 1.013541 1.013244 0.003795

97 0.363329 1.014154 1.013848 0.003798

98 0.367075 1.014790 1.014472 0.003800

99 0.370821 1.015447 1.015118 0.003802

100 0.374566 1.016127 1.015787 0.003805

101 0.378312 1.016830 1.016478 0.003807

102 0.382058 1.017557 1.017193 0.003810

103 0.385803 1.018308 1.017933 0.003813

104 0.389549 1.019085 1.018696 0.003816

105 0.393295 1.019887 1.019486 0.003819

106 0.397040 1.020715 1.020301 0.003822

107 0.400786 1.021570 1.021142 0.003825

108 0.404532 1.022453 1.022011 0.003828

109 0.408277 1.023364 1.022908 0.003831

110 0.412023 1.024304 1.023834 0.003835

111 0.415769 1.025274 1.024789 0.003839

112 0.419514 1.026274 1.025774 0.003842

113 0.423260 1.027306 1.026790 0.003846

114 0.427006 1.028369 1.027838 0.003850

115 0.430751 1.029466 1.028918 0.003854

116 0.434497 1.030595 1.030031 0.003858

117 0.438243 1.031760 1.031178 0.003862

118 0.441988 1.032959 1.032359 0.003867

Page 58: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

119 0.445734 1.034195 1.033577 0.003871

120 0.449480 1.035467 1.034831 0.003876

121 0.453225 1.036778 1.036122 0.003881

122 0.456971 1.038127 1.037452 0.003886

123 0.460717 1.039516 1.038821 0.003891

124 0.464462 1.040945 1.040230 0.003896

125 0.468208 1.042416 1.041681 0.003902

126 0.471954 1.043930 1.043173 0.003907

127 0.475699 1.045488 1.044709 0.003913

128 0.479445 1.047091 1.046289 0.003919

129 0.483191 1.048739 1.047915 0.003925

130 0.486936 1.050435 1.049587 0.003931

131 0.490682 1.052179 1.051307 0.003938

132 0.494428 1.053972 1.053075 0.003944

133 0.498173 1.055816 1.054894 0.003951

134 0.501919 1.057711 1.056763 0.003958

135 0.505665 1.059660 1.058686 0.003965

136 0.509410 1.061663 1.060662 0.003973

137 0.513156 1.063722 1.062693 0.003980

138 0.516902 1.065839 1.064781 0.003988

139 0.520647 1.068014 1.066926 0.003996

140 0.524393 1.070249 1.069132 0.004005

141 0.528139 1.072546 1.071398 0.004013

142 0.531884 1.074907 1.073726 0.004022

143 0.535630 1.077332 1.076119 0.004031

144 0.539376 1.079823 1.078578 0.004040

145 0.543121 1.082383 1.081103 0.004049

146 0.546867 1.085013 1.083698 0.004059

147 0.550613 1.087715 1.086364 0.004069

148 0.554358 1.090491 1.089103 0.004079

149 0.558104 1.093342 1.091917 0.004090

150 0.561850 1.096272 1.094807 0.004101

151 0.565595 1.099281 1.097776 0.004112

152 0.569341 1.102371 1.100826 0.004123

153 0.573087 1.105546 1.103959 0.004135

154 0.576832 1.108808 1.107177 0.004147

155 0.580578 1.112158 1.110483 0.004159

156 0.584324 1.115600 1.113879 0.004172

157 0.588069 1.119135 1.117367 0.004185

158 0.591815 1.122767 1.120951 0.004199

159 0.595561 1.126498 1.124632 0.004212

160 0.599306 1.130331 1.128414 0.004227

161 0.603052 1.134268 1.132299 0.004241

162 0.606798 1.138314 1.136291 0.004256

163 0.610543 1.142471 1.140392 0.004272

164 0.614289 1.146742 1.144606 0.004287

Page 59: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

165 0.618035 1.151130 1.148936 0.004304

166 0.621780 1.155640 1.153385 0.004320

167 0.625526 1.160275 1.157957 0.004337

168 0.629272 1.165038 1.162656 0.004355

169 0.633017 1.169934 1.167486 0.004373

170 0.636763 1.174967 1.172450 0.004392

171 0.640509 1.180140 1.177553 0.004411

172 0.644254 1.185459 1.182800 0.004430

173 0.648000 1.190928 1.188193 0.004451

174 0.651746 1.196552 1.193740 0.004471

175 0.655491 1.202336 1.199444 0.004493

176 0.659237 1.208284 1.205310 0.004515

177 0.662983 1.214404 1.211344 0.004537

178 0.666728 1.220700 1.217552 0.004561

179 0.670474 1.227178 1.223939 0.004584

180 0.674220 1.233845 1.230511 0.004609

181 0.677965 1.240706 1.237276 0.004634

182 0.681711 1.247770 1.244238 0.004660

183 0.685457 1.255043 1.251407 0.004687

184 0.689202 1.262533 1.258788 0.004715

185 0.692948 1.270247 1.266390 0.004743

186 0.696694 1.278194 1.274221 0.004773

187 0.700439 1.286383 1.282288 0.004803

188 0.704185 1.294821 1.290602 0.004834

189 0.707931 1.303521 1.299171 0.004866

190 0.711676 1.312490 1.308005 0.004899

191 0.715422 1.321740 1.317115 0.004933

192 0.719168 1.331282 1.326511 0.004969

193 0.722913 1.341127 1.336205 0.005005

194 0.726659 1.351289 1.346208 0.005042

195 0.730404 1.361780 1.356535 0.005081

196 0.734150 1.372614 1.367197 0.005121

197 0.737896 1.383805 1.378209 0.005162

198 0.741641 1.395369 1.389587 0.005205

199 0.745387 1.407323 1.401346 0.005249

200 0.749133 1.419683 1.413503 0.005295

INTEGRAL = 0.80034

Page 60: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 0.7792

N 4.2193

RESULTADO

F(u,N) 0.8447

CALCULOSxo 0 N tramos= 200xn 0.77923 0.003896C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.003896 1.000000 1.000000 0.003896

2 0.007792 1.000000 1.000000 0.003896

3 0.011688 1.000000 1.000000 0.003896

4 0.015585 1.000000 1.000000 0.003896

5 0.019481 1.000000 1.000000 0.003896

6 0.023377 1.000000 1.000000 0.003896

7 0.027273 1.000000 1.000000 0.003896

8 0.031169 1.000000 1.000000 0.003896

9 0.035065 1.000001 1.000001 0.003896

10 0.038962 1.000001 1.000001 0.003896

11 0.042858 1.000002 1.000001 0.003896

12 0.046754 1.000002 1.000002 0.003896

13 0.050650 1.000003 1.000003 0.003896

14 0.054546 1.000005 1.000004 0.003896

15 0.058442 1.000006 1.000005 0.003896

16 0.062339 1.000008 1.000007 0.003896

17 0.066235 1.000011 1.000009 0.003896

18 0.070131 1.000014 1.000012 0.003896

19 0.074027 1.000017 1.000015 0.003896

20 0.077923 1.000021 1.000019 0.003896

21 0.081819 1.000026 1.000023 0.003896

22 0.085716 1.000031 1.000029 0.003896

23 0.089612 1.000038 1.000035 0.003896

24 0.093508 1.000045 1.000042 0.003896

25 0.097404 1.000054 1.000050 0.003896

26 0.101300 1.000064 1.000059 0.003896

27 0.105196 1.000075 1.000069 0.003896

28 0.109093 1.000087 1.000081 0.003896

29 0.112989 1.000101 1.000094 0.003897

30 0.116885 1.000117 1.000109 0.003897

31 0.120781 1.000134 1.000125 0.003897

32 0.124677 1.000153 1.000143 0.003897

2

Page 61: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

33 0.128573 1.000174 1.000164 0.003897

34 0.132470 1.000198 1.000186 0.003897

35 0.136366 1.000223 1.000211 0.003897

36 0.140262 1.000252 1.000238 0.003897

37 0.144158 1.000283 1.000267 0.003897

38 0.148054 1.000316 1.000299 0.003897

39 0.151950 1.000353 1.000334 0.003897

40 0.155846 1.000393 1.000373 0.003898

41 0.159743 1.000436 1.000414 0.003898

42 0.163639 1.000482 1.000459 0.003898

43 0.167535 1.000533 1.000508 0.003898

44 0.171431 1.000587 1.000560 0.003898

45 0.175327 1.000645 1.000616 0.003899

46 0.179223 1.000708 1.000677 0.003899

47 0.183120 1.000776 1.000742 0.003899

48 0.187016 1.000848 1.000812 0.003899

49 0.190912 1.000925 1.000886 0.003900

50 0.194808 1.001007 1.000966 0.003900

51 0.198704 1.001095 1.001051 0.003900

52 0.202600 1.001189 1.001142 0.003901

53 0.206497 1.001288 1.001238 0.003901

54 0.210393 1.001394 1.001341 0.003901

55 0.214289 1.001506 1.001450 0.003902

56 0.218185 1.001626 1.001566 0.003902

57 0.222081 1.001752 1.001689 0.003903

58 0.225977 1.001886 1.001819 0.003903

59 0.229874 1.002027 1.001956 0.003904

60 0.233770 1.002176 1.002102 0.003904

61 0.237666 1.002334 1.002255 0.003905

62 0.241562 1.002500 1.002417 0.003906

63 0.245458 1.002675 1.002587 0.003906

64 0.249354 1.002859 1.002767 0.003907

65 0.253251 1.003053 1.002956 0.003908

66 0.257147 1.003257 1.003155 0.003908

67 0.261043 1.003471 1.003364 0.003909

68 0.264939 1.003696 1.003583 0.003910

69 0.268835 1.003931 1.003814 0.003911

70 0.272731 1.004179 1.004055 0.003912

71 0.276628 1.004437 1.004308 0.003913

72 0.280524 1.004708 1.004573 0.003914

73 0.284420 1.004992 1.004850 0.003915

74 0.288316 1.005288 1.005140 0.003916

75 0.292212 1.005598 1.005443 0.003917

76 0.296108 1.005922 1.005760 0.003919

77 0.300004 1.006260 1.006091 0.003920

Page 62: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

78 0.303901 1.006613 1.006436 0.003921

79 0.307797 1.006980 1.006796 0.003923

80 0.311693 1.007364 1.007172 0.003924

81 0.315589 1.007763 1.007563 0.003926

82 0.319485 1.008179 1.007971 0.003927

83 0.323381 1.008612 1.008395 0.003929

84 0.327278 1.009062 1.008837 0.003931

85 0.331174 1.009530 1.009296 0.003932

86 0.335070 1.010017 1.009774 0.003934

87 0.338966 1.010523 1.010270 0.003936

88 0.342862 1.011049 1.010786 0.003938

89 0.346758 1.011595 1.011322 0.003940

90 0.350655 1.012161 1.011878 0.003942

91 0.354551 1.012749 1.012455 0.003945

92 0.358447 1.013359 1.013054 0.003947

93 0.362343 1.013991 1.013675 0.003949

94 0.366239 1.014646 1.014318 0.003952

95 0.370135 1.015325 1.014986 0.003955

96 0.374032 1.016028 1.015677 0.003957

97 0.377928 1.016757 1.016393 0.003960

98 0.381824 1.017511 1.017134 0.003963

99 0.385720 1.018291 1.017901 0.003966

100 0.389616 1.019099 1.018695 0.003969

101 0.393512 1.019934 1.019516 0.003972

102 0.397409 1.020798 1.020366 0.003976

103 0.401305 1.021691 1.021244 0.003979

104 0.405201 1.022613 1.022152 0.003982

105 0.409097 1.023567 1.023090 0.003986

106 0.412993 1.024552 1.024060 0.003990

107 0.416889 1.025570 1.025061 0.003994

108 0.420785 1.026621 1.026095 0.003998

109 0.424682 1.027706 1.027163 0.004002

110 0.428578 1.028825 1.028266 0.004006

111 0.432474 1.029981 1.029403 0.004011

112 0.436370 1.031173 1.030577 0.004015

113 0.440266 1.032403 1.031788 0.004020

114 0.444162 1.033672 1.033038 0.004025

115 0.448059 1.034980 1.034326 0.004030

116 0.451955 1.036329 1.035654 0.004035

117 0.455851 1.037719 1.037024 0.004040

118 0.459747 1.039152 1.038436 0.004046

119 0.463643 1.040629 1.039891 0.004052

120 0.467539 1.042151 1.041390 0.004057

121 0.471436 1.043718 1.042935 0.004063

122 0.475332 1.045333 1.044526 0.004070

123 0.479228 1.046997 1.046165 0.004076

Page 63: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

124 0.483124 1.048710 1.047853 0.004083

125 0.487020 1.050473 1.049591 0.004089

126 0.490916 1.052289 1.051381 0.004096

127 0.494813 1.054159 1.053224 0.004104

128 0.498709 1.056083 1.055121 0.004111

129 0.502605 1.058064 1.057074 0.004119

130 0.506501 1.060103 1.059083 0.004126

131 0.510397 1.062200 1.061151 0.004134

132 0.514293 1.064359 1.063280 0.004143

133 0.518190 1.066580 1.065470 0.004151

134 0.522086 1.068865 1.067723 0.004160

135 0.525982 1.071216 1.070041 0.004169

136 0.529878 1.073634 1.072425 0.004178

137 0.533774 1.076122 1.074878 0.004188

138 0.537670 1.078681 1.077401 0.004198

139 0.541567 1.081312 1.079997 0.004208

140 0.545463 1.084019 1.082666 0.004218

141 0.549359 1.086803 1.085411 0.004229

142 0.553255 1.089666 1.088234 0.004240

143 0.557151 1.092610 1.091138 0.004251

144 0.561047 1.095638 1.094124 0.004263

145 0.564943 1.098751 1.097194 0.004275

146 0.568840 1.101953 1.100352 0.004287

147 0.572736 1.105245 1.103599 0.004300

148 0.576632 1.108631 1.106938 0.004313

149 0.580528 1.112113 1.110372 0.004326

150 0.584424 1.115693 1.113903 0.004340

151 0.588320 1.119376 1.117534 0.004354

152 0.592217 1.123162 1.121269 0.004369

153 0.596113 1.127056 1.125109 0.004384

154 0.600009 1.131061 1.129059 0.004399

155 0.603905 1.135180 1.133121 0.004415

156 0.607801 1.139417 1.137298 0.004431

157 0.611697 1.143774 1.141595 0.004448

158 0.615594 1.148257 1.146015 0.004465

159 0.619490 1.152868 1.150562 0.004483

160 0.623386 1.157611 1.155240 0.004501

161 0.627282 1.162492 1.160052 0.004520

162 0.631178 1.167513 1.165003 0.004539

163 0.635074 1.172681 1.170097 0.004559

164 0.638971 1.177998 1.175340 0.004579

165 0.642867 1.183471 1.180735 0.004600

166 0.646763 1.189105 1.186288 0.004622

167 0.650659 1.194904 1.192005 0.004644

168 0.654555 1.200875 1.197890 0.004667

169 0.658451 1.207023 1.203949 0.004691

Page 64: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

170 0.662348 1.213354 1.210189 0.004715

171 0.666244 1.219875 1.216615 0.004740

172 0.670140 1.226593 1.223234 0.004766

173 0.674036 1.233513 1.230053 0.004792

174 0.677932 1.240645 1.237079 0.004820

175 0.681828 1.247995 1.244320 0.004848

176 0.685725 1.255572 1.251784 0.004877

177 0.689621 1.263384 1.259478 0.004907

178 0.693517 1.271439 1.267411 0.004938

179 0.697413 1.279748 1.275594 0.004970

180 0.701309 1.288320 1.284034 0.005003

181 0.705205 1.297165 1.292743 0.005037

182 0.709101 1.306295 1.301730 0.005072

183 0.712998 1.315721 1.311008 0.005108

184 0.716894 1.325454 1.320587 0.005145

185 0.720790 1.335509 1.330481 0.005184

186 0.724686 1.345897 1.340703 0.005224

187 0.728582 1.356634 1.351266 0.005265

188 0.732478 1.367735 1.362185 0.005307

189 0.736375 1.379216 1.373476 0.005351

190 0.740271 1.391093 1.385154 0.005397

191 0.744167 1.403385 1.397239 0.005444

192 0.748063 1.416111 1.409748 0.005493

193 0.751959 1.429290 1.422700 0.005543

194 0.755855 1.442946 1.436118 0.005595

195 0.759752 1.457100 1.450023 0.005650

196 0.763648 1.471777 1.464438 0.005706

197 0.767544 1.487003 1.479390 0.005764

198 0.771440 1.502806 1.494905 0.005824

199 0.775336 1.519217 1.511012 0.005887

200 0.779232 1.536266 1.527742 0.005952

INTEGRAL = 0.84475

Page 65: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS DATOS

u 0.8093 u 0.8394

N 4.2193 N 4.2193

RESULTADO RESULTADO

F(u,N) 0.8932 F(u,N) 0.9474

CALCULOS CALCULOSxo 0N tramos=### xo 0N tramos=###xn ### ### xn ### ###C1 C2 C3 C4 C1 C2 C3 C4x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0 0.000000 ### 0 0.000000 ###

1 0.004047 ######### 1 0.004197 ###### ###

2 0.008093 ######### 2 0.008394 ###### ###

3 0.012140 ######### 3 0.012591 ###### ###

4 0.016187 ######### 4 0.016789 ###### ###

5 0.020233 ######### 5 0.020986 ###### ###

6 0.024280 ######### 6 0.025183 ###### ###

7 0.028327 ######### 7 0.029380 ###### ###

8 0.032373 ######### 8 0.033577 ###### ###

9 0.036420 ######### 9 0.037774 ###### ###

10 0.040467 ######### 10 0.041972 ###### ###

11 0.044513 ######### 11 0.046169 ###### ###

12 0.048560 ######### 12 0.050366 ###### ###

13 0.052607 ######### 13 0.054563 ###### ###

14 0.056653 ######### 14 0.058760 ###### ###

15 0.060700 ######### 15 0.062957 ###### ###

16 0.064747 ######### 16 0.067155 ###### ###

17 0.068793 ######### 17 0.071352 ###### ###

18 0.072840 ######### 18 0.075549 ###### ###

19 0.076887 ######### 19 0.079746 ###### ###

20 0.080933 ######### 20 0.083943 ###### ###

21 0.084980 ######### 21 0.088140 ###### ###

22 0.089027 ######### 22 0.092337 ###### ###

23 0.093073 ######### 23 0.096535 ###### ###

24 0.097120 ######### 24 0.100732 ###### ###

25 0.101166 ######### 25 0.104929 ###### ###

26 0.105213 ######### 26 0.109126 ###### ###

27 0.109260 ######### 27 0.113323 ###### ###

28 0.113306 ######### 28 0.117520 ###### ###

29 0.117353 ######### 29 0.121718 ###### ###

30 0.121400 ######### 30 0.125915 ###### ###

31 0.125446 ######### 31 0.130112 ###### ###

32 0.129493 ######### 32 0.134309 ###### ###

3 4

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33 0.133540 ######### 33 0.138506 ###### ###

34 0.137586 ######### 34 0.142703 ###### ###

35 0.141633 ######### 35 0.146901 ###### ###

36 0.145680 ######### 36 0.151098 ###### ###

37 0.149726 ######### 37 0.155295 ###### ###

38 0.153773 ######### 38 0.159492 ###### ###

39 0.157820 ######### 39 0.163689 ###### ###

40 0.161866 ######### 40 0.167886 ###### ###

41 0.165913 ######### 41 0.172083 ###### ###

42 0.169960 ######### 42 0.176281 ###### ###

43 0.174006 ######### 43 0.180478 ###### ###

44 0.178053 ######### 44 0.184675 ###### ###

45 0.182100 ######### 45 0.188872 ###### ###

46 0.186146 ######### 46 0.193069 ###### ###

47 0.190193 ######### 47 0.197266 ###### ###

48 0.194240 ######### 48 0.201464 ###### ###

49 0.198286 ######### 49 0.205661 ###### ###

50 0.202333 ######### 50 0.209858 ###### ###

51 0.206380 ######### 51 0.214055 ###### ###

52 0.210426 ######### 52 0.218252 ###### ###

53 0.214473 ######### 53 0.222449 ###### ###

54 0.218520 ######### 54 0.226647 ###### ###

55 0.222566 ######### 55 0.230844 ###### ###

56 0.226613 ######### 56 0.235041 ###### ###

57 0.230660 ######### 57 0.239238 ###### ###

58 0.234706 ######### 58 0.243435 ###### ###

59 0.238753 ######### 59 0.247632 ###### ###

60 0.242800 ######### 60 0.251829 ###### ###

61 0.246846 ######### 61 0.256027 ###### ###

62 0.250893 ######### 62 0.260224 ###### ###

63 0.254940 ######### 63 0.264421 ###### ###

64 0.258986 ######### 64 0.268618 ###### ###

65 0.263033 ######### 65 0.272815 ###### ###

66 0.267080 ######### 66 0.277012 ###### ###

67 0.271126 ######### 67 0.281210 ###### ###

68 0.275173 ######### 68 0.285407 ###### ###

69 0.279220 ######### 69 0.289604 ###### ###

70 0.283266 ######### 70 0.293801 ###### ###

71 0.287313 ######### 71 0.297998 ###### ###

72 0.291360 ######### 72 0.302195 ###### ###

73 0.295406 ######### 73 0.306393 ###### ###

74 0.299453 ######### 74 0.310590 ###### ###

75 0.303499 ######### 75 0.314787 ###### ###

76 0.307546 ######### 76 0.318984 ###### ###

77 0.311593 ######### 77 0.323181 ###### ###

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78 0.315639 ######### 78 0.327378 ###### ###

79 0.319686 ######### 79 0.331575 ###### ###

80 0.323733 ######### 80 0.335773 ###### ###

81 0.327779 ######### 81 0.339970 ###### ###

82 0.331826 ######### 82 0.344167 ###### ###

83 0.335873 ######### 83 0.348364 ###### ###

84 0.339919 ######### 84 0.352561 ###### ###

85 0.343966 ######### 85 0.356758 ###### ###

86 0.348013 ######### 86 0.360956 ###### ###

87 0.352059 ######### 87 0.365153 ###### ###

88 0.356106 ######### 88 0.369350 ###### ###

89 0.360153 ######### 89 0.373547 ###### ###

90 0.364199 ######### 90 0.377744 ###### ###

91 0.368246 ######### 91 0.381941 ###### ###

92 0.372293 ######### 92 0.386139 ###### ###

93 0.376339 ######### 93 0.390336 ###### ###

94 0.380386 ######### 94 0.394533 ###### ###

95 0.384433 ######### 95 0.398730 ###### ###

96 0.388479 ######### 96 0.402927 ###### ###

97 0.392526 ######### 97 0.407124 ###### ###

98 0.396573 ######### 98 0.411321 ###### ###

99 0.400619 ######### 99 0.415519 ###### ###

100 0.404666 ######### 100 0.419716 ###### ###

101 0.408713 ######### 101 0.423913 ###### ###

102 0.412759 ######### 102 0.428110 ###### ###

103 0.416806 ######### 103 0.432307 ###### ###

104 0.420853 ######### 104 0.436504 ###### ###

105 0.424899 ######### 105 0.440702 ###### ###

106 0.428946 ######### 106 0.444899 ###### ###

107 0.432993 ######### 107 0.449096 ###### ###

108 0.437039 ######### 108 0.453293 ###### ###

109 0.441086 ######### 109 0.457490 ###### ###

110 0.445133 ######### 110 0.461687 ###### ###

111 0.449179 ######### 111 0.465885 ###### ###

112 0.453226 ######### 112 0.470082 ###### ###

113 0.457273 ######### 113 0.474279 ###### ###

114 0.461319 ######### 114 0.478476 ###### ###

115 0.465366 ######### 115 0.482673 ###### ###

116 0.469413 ######### 116 0.486870 ###### ###

117 0.473459 ######### 117 0.491067 ###### ###

118 0.477506 ######### 118 0.495265 ###### ###

119 0.481553 ######### 119 0.499462 ###### ###

120 0.485599 ######### 120 0.503659 ###### ###

121 0.489646 ######### 121 0.507856 ###### ###

122 0.493693 ######### 122 0.512053 ###### ###

123 0.497739 ######### 123 0.516250 ###### ###

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124 0.501786 ######### 124 0.520448 ###### ###

125 0.505832 ######### 125 0.524645 ###### ###

126 0.509879 ######### 126 0.528842 ###### ###

127 0.513926 ######### 127 0.533039 ###### ###

128 0.517972 ######### 128 0.537236 ###### ###

129 0.522019 ######### 129 0.541433 ###### ###

130 0.526066 ######### 130 0.545631 ###### ###

131 0.530112 ######### 131 0.549828 ###### ###

132 0.534159 ######### 132 0.554025 ###### ###

133 0.538206 ######### 133 0.558222 ###### ###

134 0.542252 ######### 134 0.562419 ###### ###

135 0.546299 ######### 135 0.566616 ###### ###

136 0.550346 ######### 136 0.570813 ###### ###

137 0.554392 ######### 137 0.575011 ###### ###

138 0.558439 ######### 138 0.579208 ###### ###

139 0.562486 ######### 139 0.583405 ###### ###

140 0.566532 ######### 140 0.587602 ###### ###

141 0.570579 ######### 141 0.591799 ###### ###

142 0.574626 ######### 142 0.595996 ###### ###

143 0.578672 ######### 143 0.600194 ###### ###

144 0.582719 ######### 144 0.604391 ###### ###

145 0.586766 ######### 145 0.608588 ###### ###

146 0.590812 ######### 146 0.612785 ###### ###

147 0.594859 ######### 147 0.616982 ###### ###

148 0.598906 ######### 148 0.621179 ###### ###

149 0.602952 ######### 149 0.625377 ###### ###

150 0.606999 ######### 150 0.629574 ###### ###

151 0.611046 ######### 151 0.633771 ###### ###

152 0.615092 ######### 152 0.637968 ###### ###

153 0.619139 ######### 153 0.642165 ###### ###

154 0.623186 ######### 154 0.646362 ###### ###

155 0.627232 ######### 155 0.650559 ###### ###

156 0.631279 ######### 156 0.654757 ###### ###

157 0.635326 ######### 157 0.658954 ###### ###

158 0.639372 ######### 158 0.663151 ###### ###

159 0.643419 ######### 159 0.667348 ###### ###

160 0.647466 ######### 160 0.671545 ###### ###

161 0.651512 ######### 161 0.675742 ###### ###

162 0.655559 ######### 162 0.679940 ###### ###

163 0.659606 ######### 163 0.684137 ###### ###

164 0.663652 ######### 164 0.688334 ###### ###

165 0.667699 ######### 165 0.692531 ###### ###

166 0.671746 ######### 166 0.696728 ###### ###

167 0.675792 ######### 167 0.700925 ###### ###

168 0.679839 ######### 168 0.705123 ###### ###

169 0.683886 ######### 169 0.709320 ###### ###

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170 0.687932 ######### 170 0.713517 ###### ###

171 0.691979 ######### 171 0.717714 ###### ###

172 0.696026 ######### 172 0.721911 ###### ###

173 0.700072 ######### 173 0.726108 ###### ###

174 0.704119 ######### 174 0.730305 ###### ###

175 0.708165 ######### 175 0.734503 ###### ###

176 0.712212 ######### 176 0.738700 ###### ###

177 0.716259 ######### 177 0.742897 ###### ###

178 0.720305 ######### 178 0.747094 ###### ###

179 0.724352 ######### 179 0.751291 ###### ###

180 0.728399 ######### 180 0.755488 ###### ###

181 0.732445 ######### 181 0.759686 ###### ###

182 0.736492 ######### 182 0.763883 ###### ###

183 0.740539 ######### 183 0.768080 ###### ###

184 0.744585 ######### 184 0.772277 ###### ###

185 0.748632 ######### 185 0.776474 ###### ###

186 0.752679 ######### 186 0.780671 ###### ###

187 0.756725 ######### 187 0.784869 ###### ###

188 0.760772 ######### 188 0.789066 ###### ###

189 0.764819 ######### 189 0.793263 ###### ###

190 0.768865 ######### 190 0.797460 ###### ###

191 0.772912 ######### 191 0.801657 ###### ###

192 0.776959 ######### 192 0.805854 ###### ###

193 0.781005 ######### 193 0.810051 ###### ###

194 0.785052 ######### 194 0.814249 ###### ###

195 0.789099 ######### 195 0.818446 ###### ###

196 0.793145 ######### 196 0.822643 ###### ###

197 0.797192 ######### 197 0.826840 ###### ###

198 0.801239 ######### 198 0.831037 ###### ###

199 0.805285 ######### 199 0.835234 ###### ###

200 0.809332 ######### 200 0.839432 ###### ###

INTEGRAL =### INTEGRAL =###

Page 70: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS DATOS

u 0.8695 u

N 4.2193 N

RESULTADO RESULTADO

F(u,N) 1.0096 F(u,N)

CALCULOSxo 0N tramos=###xn ### ###C1 C2 C3 C4

C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0 0.000000 ### 0

1 0.004348 ### ### ### 1

2 0.008695 ### ### ### 2

3 0.013043 ### ### ### 3

4 0.017391 ### ### ### 4

5 0.021738 ### ### ### 5

6 0.026086 ### ### ### 6

7 0.030434 ### ### ### 7

8 0.034781 ### ### ### 8

9 0.039129 ### ### ### 9

10 0.043477 ### ### ### 10

11 0.047824 ### ### ### 11

12 0.052172 ### ### ### 12

13 0.056520 ### ### ### 13

14 0.060867 ### ### ### 14

15 0.065215 ### ### ### 15

16 0.069562 ### ### ### 16

17 0.073910 ### ### ### 17

18 0.078258 ### ### ### 18

19 0.082605 ### ### ### 19

20 0.086953 ### ### ### 20

21 0.091301 ### ### ### 21

22 0.095648 ### ### ### 22

23 0.099996 ### ### ### 23

24 0.104344 ### ### ### 24

25 0.108691 ### ### ### 25

26 0.113039 ### ### ### 26

27 0.117387 ### ### ### 27

28 0.121734 ### ### ### 28

29 0.126082 ### ### ### 29

30 0.130430 ### ### ### 30

31 0.134777 ### ### ### 31

32 0.139125 ### ### ### 32

5 6

Page 71: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

33 0.143473 ### ### ### 33

34 0.147820 ### ### ### 34

35 0.152168 ### ### ### 35

36 0.156516 ### ### ### 36

37 0.160863 ### ### ### 37

38 0.165211 ### ### ### 38

39 0.169559 ### ### ### 39

40 0.173906 ### ### ### 40

41 0.178254 ### ### ### 41

42 0.182602 ### ### ### 42

43 0.186949 ### ### ### 43

44 0.191297 ### ### ### 44

45 0.195645 ### ### ### 45

46 0.199992 ### ### ### 46

47 0.204340 ### ### ### 47

48 0.208687 ### ### ### 48

49 0.213035 ### ### ### 49

50 0.217383 ### ### ### 50

51 0.221730 ### ### ### 51

52 0.226078 ### ### ### 52

53 0.230426 ### ### ### 53

54 0.234773 ### ### ### 54

55 0.239121 ### ### ### 55

56 0.243469 ### ### ### 56

57 0.247816 ### ### ### 57

58 0.252164 ### ### ### 58

59 0.256512 ### ### ### 59

60 0.260859 ### ### ### 60

61 0.265207 ### ### ### 61

62 0.269555 ### ### ### 62

63 0.273902 ### ### ### 63

64 0.278250 ### ### ### 64

65 0.282598 ### ### ### 65

66 0.286945 ### ### ### 66

67 0.291293 ### ### ### 67

68 0.295641 ### ### ### 68

69 0.299988 ### ### ### 69

70 0.304336 ### ### ### 70

71 0.308684 ### ### ### 71

72 0.313031 ### ### ### 72

73 0.317379 ### ### ### 73

74 0.321727 ### ### ### 74

75 0.326074 ### ### ### 75

76 0.330422 ### ### ### 76

77 0.334769 ### ### ### 77

Page 72: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

78 0.339117 ### ### ### 78

79 0.343465 ### ### ### 79

80 0.347812 ### ### ### 80

81 0.352160 ### ### ### 81

82 0.356508 ### ### ### 82

83 0.360855 ### ### ### 83

84 0.365203 ### ### ### 84

85 0.369551 ### ### ### 85

86 0.373898 ### ### ### 86

87 0.378246 ### ### ### 87

88 0.382594 ### ### ### 88

89 0.386941 ### ### ### 89

90 0.391289 ### ### ### 90

91 0.395637 ### ### ### 91

92 0.399984 ### ### ### 92

93 0.404332 ### ### ### 93

94 0.408680 ### ### ### 94

95 0.413027 ### ### ### 95

96 0.417375 ### ### ### 96

97 0.421723 ### ### ### 97

98 0.426070 ### ### ### 98

99 0.430418 ### ### ### 99

100 0.434766 ### ### ### 100

101 0.439113 ### ### ### 101

102 0.443461 ### ### ### 102

103 0.447809 ### ### ### 103

104 0.452156 ### ### ### 104

105 0.456504 ### ### ### 105

106 0.460852 ### ### ### 106

107 0.465199 ### ### ### 107

108 0.469547 ### ### ### 108

109 0.473894 ### ### ### 109

110 0.478242 ### ### ### 110

111 0.482590 ### ### ### 111

112 0.486937 ### ### ### 112

113 0.491285 ### ### ### 113

114 0.495633 ### ### ### 114

115 0.499980 ### ### ### 115

116 0.504328 ### ### ### 116

117 0.508676 ### ### ### 117

118 0.513023 ### ### ### 118

119 0.517371 ### ### ### 119

120 0.521719 ### ### ### 120

121 0.526066 ### ### ### 121

122 0.530414 ### ### ### 122

123 0.534762 ### ### ### 123

Page 73: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

124 0.539109 ### ### ### 124

125 0.543457 ### ### ### 125

126 0.547805 ### ### ### 126

127 0.552152 ### ### ### 127

128 0.556500 ### ### ### 128

129 0.560848 ### ### ### 129

130 0.565195 ### ### ### 130

131 0.569543 ### ### ### 131

132 0.573891 ### ### ### 132

133 0.578238 ### ### ### 133

134 0.582586 ### ### ### 134

135 0.586934 ### ### ### 135

136 0.591281 ### ### ### 136

137 0.595629 ### ### ### 137

138 0.599977 ### ### ### 138

139 0.604324 ### ### ### 139

140 0.608672 ### ### ### 140

141 0.613019 ### ### ### 141

142 0.617367 ### ### ### 142

143 0.621715 ### ### ### 143

144 0.626062 ### ### ### 144

145 0.630410 ### ### ### 145

146 0.634758 ### ### ### 146

147 0.639105 ### ### ### 147

148 0.643453 ### ### ### 148

149 0.647801 ### ### ### 149

150 0.652148 ### ### ### 150

151 0.656496 ### ### ### 151

152 0.660844 ### ### ### 152

153 0.665191 ### ### ### 153

154 0.669539 ### ### ### 154

155 0.673887 ### ### ### 155

156 0.678234 ### ### ### 156

157 0.682582 ### ### ### 157

158 0.686930 ### ### ### 158

159 0.691277 ### ### ### 159

160 0.695625 ### ### ### 160

161 0.699973 ### ### ### 161

162 0.704320 ### ### ### 162

163 0.708668 ### ### ### 163

164 0.713016 ### ### ### 164

165 0.717363 ### ### ### 165

166 0.721711 ### ### ### 166

167 0.726059 ### ### ### 167

168 0.730406 ### ### ### 168

169 0.734754 ### ### ### 169

Page 74: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

170 0.739101 ### ### ### 170

171 0.743449 ### ### ### 171

172 0.747797 ### ### ### 172

173 0.752144 ### ### ### 173

174 0.756492 ### ### ### 174

175 0.760840 ### ### ### 175

176 0.765187 ### ### ### 176

177 0.769535 ### ### ### 177

178 0.773883 ### ### ### 178

179 0.778230 ### ### ### 179

180 0.782578 ### ### ### 180

181 0.786926 ### ### ### 181

182 0.791273 ### ### ### 182

183 0.795621 ### ### ### 183

184 0.799969 ### ### ### 184

185 0.804316 ### ### ### 185

186 0.808664 ### ### ### 186

187 0.813012 ### ### ### 187

188 0.817359 ### ### ### 188

189 0.821707 ### ### ### 189

190 0.826055 ### ### ### 190

191 0.830402 ### ### ### 191

192 0.834750 ### ### ### 192

193 0.839098 ### ### ### 193

194 0.843445 ### ### ### 194

195 0.847793 ### ### ### 195

196 0.852141 ### ### ### 196

197 0.856488 ### ### ### 197

198 0.860836 ### ### ### 198

199 0.865184 ### ### ### 199

200 0.869531 ### ### ### 200

INTEGRAL =###

Page 75: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS DATOS

0.8996 u 0.9297

4.2193 N 4.2193

RESULTADO RESULTADO

1.0845 F(u,N) 1.1814

CALCULOS CALCULOSxo 0N tramos=### xo 0N tramos=###xn ### ### xn ### ###C1 C2 C3 C4 C1 C2 C3 C4x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0.000000 ### 0 0.000000 ###

0.004498 ### ### ### 1 0.004649 #########

0.008996 ### ### ### 2 0.009297 #########

0.013494 ### ### ### 3 0.013946 #########

0.017993 ### ### ### 4 0.018595 #########

0.022491 ### ### ### 5 0.023243 #########

0.026989 ### ### ### 6 0.027892 #########

0.031487 ### ### ### 7 0.032541 #########

0.035985 ### ### ### 8 0.037189 #########

0.040483 ### ### ### 9 0.041838 #########

0.044982 ### ### ### 10 0.046487 #########

0.049480 ### ### ### 11 0.051135 #########

0.053978 ### ### ### 12 0.055784 #########

0.058476 ### ### ### 13 0.060432 #########

0.062974 ### ### ### 14 0.065081 #########

0.067472 ### ### ### 15 0.069730 #########

0.071970 ### ### ### 16 0.074378 #########

0.076469 ### ### ### 17 0.079027 #########

0.080967 ### ### ### 18 0.083676 #########

0.085465 ### ### ### 19 0.088324 #########

0.089963 ### ### ### 20 0.092973 #########

0.094461 ### ### ### 21 0.097622 #########

0.098959 ### ### ### 22 0.102270 #########

0.103458 ### ### ### 23 0.106919 #########

0.107956 ### ### ### 24 0.111568 #########

0.112454 ### ### ### 25 0.116216 #########

0.116952 ### ### ### 26 0.120865 #########

0.121450 ### ### ### 27 0.125514 #########

0.125948 ### ### ### 28 0.130162 #########

0.130446 ### ### ### 29 0.134811 #########

0.134945 ### ### ### 30 0.139460 #########

0.139443 ### ### ### 31 0.144108 #########

0.143941 ### ### ### 32 0.148757 #########

7

Page 76: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0.148439 ### ### ### 33 0.153406 #########

0.152937 ### ### ### 34 0.158054 #########

0.157435 ### ### ### 35 0.162703 #########

0.161934 ### ### ### 36 0.167351 #########

0.166432 ### ### ### 37 0.172000 #########

0.170930 ### ### ### 38 0.176649 #########

0.175428 ### ### ### 39 0.181297 #########

0.179926 ### ### ### 40 0.185946 #########

0.184424 ### ### ### 41 0.190595 #########

0.188922 ### ### ### 42 0.195243 #########

0.193421 ### ### ### 43 0.199892 #########

0.197919 ### ### ### 44 0.204541 #########

0.202417 ### ### ### 45 0.209189 #########

0.206915 ### ### ### 46 0.213838 #########

0.211413 ### ### ### 47 0.218487 #########

0.215911 ### ### ### 48 0.223135 #########

0.220410 ### ### ### 49 0.227784 #########

0.224908 ### ### ### 50 0.232433 #########

0.229406 ### ### ### 51 0.237081 #########

0.233904 ### ### ### 52 0.241730 #########

0.238402 ### ### ### 53 0.246379 #########

0.242900 ### ### ### 54 0.251027 #########

0.247398 ### ### ### 55 0.255676 #########

0.251897 ### ### ### 56 0.260324 #########

0.256395 ### ### ### 57 0.264973 #########

0.260893 ### ### ### 58 0.269622 #########

0.265391 ### ### ### 59 0.274270 #########

0.269889 ### ### ### 60 0.278919 #########

0.274387 ### ### ### 61 0.283568 #########

0.278886 ### ### ### 62 0.288216 #########

0.283384 ### ### ### 63 0.292865 #########

0.287882 ### ### ### 64 0.297514 #########

0.292380 ### ### ### 65 0.302162 #########

0.296878 ### ### ### 66 0.306811 #########

0.301376 ### ### ### 67 0.311460 #########

0.305874 ### ### ### 68 0.316108 #########

0.310373 ### ### ### 69 0.320757 #########

0.314871 ### ### ### 70 0.325406 #########

0.319369 ### ### ### 71 0.330054 #########

0.323867 ### ### ### 72 0.334703 #########

0.328365 ### ### ### 73 0.339352 #########

0.332863 ### ### ### 74 0.344000 #########

0.337362 ### ### ### 75 0.348649 #########

0.341860 ### ### ### 76 0.353298 #########

0.346358 ### ### ### 77 0.357946 #########

Page 77: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0.350856 ### ### ### 78 0.362595 #########

0.355354 ### ### ### 79 0.367243 #########

0.359852 ### ### ### 80 0.371892 #########

0.364350 ### ### ### 81 0.376541 #########

0.368849 ### ### ### 82 0.381189 #########

0.373347 ### ### ### 83 0.385838 #########

0.377845 ### ### ### 84 0.390487 #########

0.382343 ### ### ### 85 0.395135 #########

0.386841 ### ### ### 86 0.399784 #########

0.391339 ### ### ### 87 0.404433 #########

0.395838 ### ### ### 88 0.409081 #########

0.400336 ### ### ### 89 0.413730 #########

0.404834 ### ### ### 90 0.418379 #########

0.409332 ### ### ### 91 0.423027 #########

0.413830 ### ### ### 92 0.427676 #########

0.418328 ### ### ### 93 0.432325 #########

0.422826 ### ### ### 94 0.436973 #########

0.427325 ### ### ### 95 0.441622 #########

0.431823 ### ### ### 96 0.446271 #########

0.436321 ### ### ### 97 0.450919 #########

0.440819 ### ### ### 98 0.455568 #########

0.445317 ### ### ### 99 0.460217 #########

0.449815 ### ### ### 100 0.464865 #########

0.454314 ### ### ### 101 0.469514 #########

0.458812 ### ### ### 102 0.474162 #########

0.463310 ### ### ### 103 0.478811 #########

0.467808 ### ### ### 104 0.483460 #########

0.472306 ### ### ### 105 0.488108 #########

0.476804 ### ### ### 106 0.492757 #########

0.481302 ### ### ### 107 0.497406 #########

0.485801 ### ### ### 108 0.502054 #########

0.490299 ### ### ### 109 0.506703 #########

0.494797 ### ### ### 110 0.511352 #########

0.499295 ### ### ### 111 0.516000 #########

0.503793 ### ### ### 112 0.520649 #########

0.508291 ### ### ### 113 0.525298 #########

0.512790 ### ### ### 114 0.529946 #########

0.517288 ### ### ### 115 0.534595 #########

0.521786 ### ### ### 116 0.539244 #########

0.526284 ### ### ### 117 0.543892 #########

0.530782 ### ### ### 118 0.548541 #########

0.535280 ### ### ### 119 0.553190 #########

0.539778 ### ### ### 120 0.557838 #########

0.544277 ### ### ### 121 0.562487 #########

0.548775 ### ### ### 122 0.567136 #########

0.553273 ### ### ### 123 0.571784 #########

Page 78: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0.557771 ### ### ### 124 0.576433 #########

0.562269 ### ### ### 125 0.581081 #########

0.566767 ### ### ### 126 0.585730 #########

0.571266 ### ### ### 127 0.590379 #########

0.575764 ### ### ### 128 0.595027 #########

0.580262 ### ### ### 129 0.599676 #########

0.584760 ### ### ### 130 0.604325 #########

0.589258 ### ### ### 131 0.608973 #########

0.593756 ### ### ### 132 0.613622 #########

0.598254 ### ### ### 133 0.618271 #########

0.602753 ### ### ### 134 0.622919 #########

0.607251 ### ### ### 135 0.627568 #########

0.611749 ### ### ### 136 0.632217 #########

0.616247 ### ### ### 137 0.636865 #########

0.620745 ### ### ### 138 0.641514 #########

0.625243 ### ### ### 139 0.646163 #########

0.629742 ### ### ### 140 0.650811 #########

0.634240 ### ### ### 141 0.655460 #########

0.638738 ### ### ### 142 0.660109 #########

0.643236 ### ### ### 143 0.664757 #########

0.647734 ### ### ### 144 0.669406 #########

0.652232 ### ### ### 145 0.674054 #########

0.656730 ### ### ### 146 0.678703 #########

0.661229 ### ### ### 147 0.683352 #########

0.665727 ### ### ### 148 0.688000 #########

0.670225 ### ### ### 149 0.692649 #########

0.674723 ### ### ### 150 0.697298 #########

0.679221 ### ### ### 151 0.701946 #########

0.683719 ### ### ### 152 0.706595 #########

0.688218 ### ### ### 153 0.711244 #########

0.692716 ### ### ### 154 0.715892 #########

0.697214 ### ### ### 155 0.720541 #########

0.701712 ### ### ### 156 0.725190 #########

0.706210 ### ### ### 157 0.729838 #########

0.710708 ### ### ### 158 0.734487 #########

0.715206 ### ### ### 159 0.739136 #########

0.719705 ### ### ### 160 0.743784 #########

0.724203 ### ### ### 161 0.748433 #########

0.728701 ### ### ### 162 0.753082 #########

0.733199 ### ### ### 163 0.757730 #########

0.737697 ### ### ### 164 0.762379 #########

0.742195 ### ### ### 165 0.767028 #########

0.746694 ### ### ### 166 0.771676 #########

0.751192 ### ### ### 167 0.776325 #########

0.755690 ### ### ### 168 0.780973 #########

0.760188 ### ### ### 169 0.785622 #########

Page 79: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0.764686 ### ### ### 170 0.790271 #########

0.769184 ### ### ### 171 0.794919 #########

0.773682 ### ### ### 172 0.799568 #########

0.778181 ### ### ### 173 0.804217 #########

0.782679 ### ### ### 174 0.808865 #########

0.787177 ### ### ### 175 0.813514 #########

0.791675 ### ### ### 176 0.818163 #########

0.796173 ### ### ### 177 0.822811 #########

0.800671 ### ### ### 178 0.827460 #########

0.805170 ### ### ### 179 0.832109 #########

0.809668 ### ### ### 180 0.836757 #########

0.814166 ### ### ### 181 0.841406 #########

0.818664 ### ### ### 182 0.846055 #########

0.823162 ### ### ### 183 0.850703 #########

0.827660 ### ### ### 184 0.855352 #########

0.832158 ### ### ### 185 0.860001 #########

0.836657 ### ### ### 186 0.864649 #########

0.841155 ### ### ### 187 0.869298 #########

0.845653 ### ### ### 188 0.873947 #########

0.850151 ### ### ### 189 0.878595 #########

0.854649 ### ### ### 190 0.883244 #########

0.859147 ### ### ### 191 0.887892 #########

0.863646 ### ### ### 192 0.892541 #########

0.868144 ### ### ### 193 0.897190 #########

0.872642 ### ### ### 194 0.901838 #########

0.877140 ### ### ### 195 0.906487 #########

0.881638 ### ### ### 196 0.911136 #########

0.886136 ### ### ### 197 0.915784 #########

0.890634 ### ### ### 198 0.920433 #########

0.895133 ### ### ### 199 0.925082 #########

0.899631 ### ### ### 200 0.929730 #########

INTEGRAL =### INTEGRAL =###

Page 80: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS DATOS

u 0.9598 u 0.9899

N 4.2193 N 4.2193

RESULTADO RESULTADO

F(u,N) 1.3262 F(u,N) 1.6702

CALCULOS CALCULOSxo 0N tramos=### xo 0N tramos=###xn ### ### xn ### ###C1 C2 C3 C4 C1 C2 C3 C4x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0 0.000000 ### 0 0.000000 ###

1 0.004799 ######### 1 0.004950 #########

2 0.009598 ######### 2 0.009899 #########

3 0.014397 ######### 3 0.014849 #########

4 0.019197 ######### 4 0.019799 #########

5 0.023996 ######### 5 0.024748 #########

6 0.028795 ######### 6 0.029698 #########

7 0.033594 ######### 7 0.034648 #########

8 0.038393 ######### 8 0.039597 #########

9 0.043192 ######### 9 0.044547 #########

10 0.047991 ######### 10 0.049496 #########

11 0.052791 ######### 11 0.054446 #########

12 0.057590 ######### 12 0.059396 #########

13 0.062389 ######### 13 0.064345 #########

14 0.067188 ######### 14 0.069295 #########

15 0.071987 ######### 15 0.074245 #########

16 0.076786 ######### 16 0.079194 #########

17 0.081586 ######### 17 0.084144 #########

18 0.086385 ######### 18 0.089094 #########

19 0.091184 ######### 19 0.094043 #########

20 0.095983 ######### 20 0.098993 #########

21 0.100782 ######### 21 0.103943 #########

22 0.105581 ######### 22 0.108892 #########

23 0.110380 ######### 23 0.113842 #########

24 0.115180 ######### 24 0.118792 #########

25 0.119979 ######### 25 0.123741 #########

26 0.124778 ######### 26 0.128691 #########

27 0.129577 ######### 27 0.133640 #########

28 0.134376 ######### 28 0.138590 #########

29 0.139175 ######### 29 0.143540 #########

30 0.143974 ######### 30 0.148489 #########

31 0.148774 ######### 31 0.153439 #########

32 0.153573 ######### 32 0.158389 #########

8 9

Page 81: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

33 0.158372 ######### 33 0.163338 #########

34 0.163171 ######### 34 0.168288 #########

35 0.167970 ######### 35 0.173238 #########

36 0.172769 ######### 36 0.178187 #########

37 0.177569 ######### 37 0.183137 #########

38 0.182368 ######### 38 0.188087 #########

39 0.187167 ######### 39 0.193036 #########

40 0.191966 ######### 40 0.197986 #########

41 0.196765 ######### 41 0.202936 #########

42 0.201564 ######### 42 0.207885 #########

43 0.206363 ######### 43 0.212835 #########

44 0.211163 ######### 44 0.217784 #########

45 0.215962 ######### 45 0.222734 #########

46 0.220761 ######### 46 0.227684 #########

47 0.225560 ######### 47 0.232633 #########

48 0.230359 ######### 48 0.237583 #########

49 0.235158 ######### 49 0.242533 #########

50 0.239957 ######### 50 0.247482 #########

51 0.244757 ######### 51 0.252432 #########

52 0.249556 ######### 52 0.257382 #########

53 0.254355 ######### 53 0.262331 #########

54 0.259154 ######### 54 0.267281 #########

55 0.263953 ######### 55 0.272231 #########

56 0.268752 ######### 56 0.277180 #########

57 0.273552 ######### 57 0.282130 #########

58 0.278351 ######### 58 0.287080 #########

59 0.283150 ######### 59 0.292029 #########

60 0.287949 ######### 60 0.296979 #########

61 0.292748 ######### 61 0.301928 #########

62 0.297547 ######### 62 0.306878 #########

63 0.302346 ######### 63 0.311828 #########

64 0.307146 ######### 64 0.316777 #########

65 0.311945 ######### 65 0.321727 #########

66 0.316744 ######### 66 0.326677 #########

67 0.321543 ######### 67 0.331626 #########

68 0.326342 ######### 68 0.336576 #########

69 0.331141 ######### 69 0.341526 #########

70 0.335940 ######### 70 0.346475 #########

71 0.340740 ######### 71 0.351425 #########

72 0.345539 ######### 72 0.356375 #########

73 0.350338 ######### 73 0.361324 #########

74 0.355137 ######### 74 0.366274 #########

75 0.359936 ######### 75 0.371224 #########

76 0.364735 ######### 76 0.376173 #########

77 0.369535 ######### 77 0.381123 #########

Page 82: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

78 0.374334 ######### 78 0.386073 #########

79 0.379133 ######### 79 0.391022 #########

80 0.383932 ######### 80 0.395972 #########

81 0.388731 ######### 81 0.400921 #########

82 0.393530 ######### 82 0.405871 #########

83 0.398329 ######### 83 0.410821 #########

84 0.403129 ######### 84 0.415770 #########

85 0.407928 ######### 85 0.420720 #########

86 0.412727 ######### 86 0.425670 #########

87 0.417526 ######### 87 0.430619 #########

88 0.422325 ######### 88 0.435569 #########

89 0.427124 ######### 89 0.440519 #########

90 0.431923 ######### 90 0.445468 #########

91 0.436723 ######### 91 0.450418 #########

92 0.441522 ######### 92 0.455368 #########

93 0.446321 ######### 93 0.460317 #########

94 0.451120 ######### 94 0.465267 #########

95 0.455919 ######### 95 0.470217 #########

96 0.460718 ######### 96 0.475166 #########

97 0.465518 ######### 97 0.480116 #########

98 0.470317 ######### 98 0.485065 #########

99 0.475116 ######### 99 0.490015 #########

100 0.479915 ######### 100 0.494965 #########

101 0.484714 ######### 101 0.499914 #########

102 0.489513 ######### 102 0.504864 #########

103 0.494312 ######### 103 0.509814 #########

104 0.499112 ######### 104 0.514763 #########

105 0.503911 ######### 105 0.519713 #########

106 0.508710 ######### 106 0.524663 #########

107 0.513509 ######### 107 0.529612 #########

108 0.518308 ######### 108 0.534562 #########

109 0.523107 ######### 109 0.539512 #########

110 0.527906 ######### 110 0.544461 #########

111 0.532706 ######### 111 0.549411 #########

112 0.537505 ######### 112 0.554361 #########

113 0.542304 ######### 113 0.559310 #########

114 0.547103 ######### 114 0.564260 #########

115 0.551902 ######### 115 0.569209 #########

116 0.556701 ######### 116 0.574159 #########

117 0.561501 ######### 117 0.579109 #########

118 0.566300 ######### 118 0.584058 #########

119 0.571099 ######### 119 0.589008 #########

120 0.575898 ######### 120 0.593958 #########

121 0.580697 ######### 121 0.598907 #########

122 0.585496 ######### 122 0.603857 #########

123 0.590295 ######### 123 0.608807 #########

Page 83: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

124 0.595095 ######### 124 0.613756 #########

125 0.599894 ######### 125 0.618706 #########

126 0.604693 ######### 126 0.623656 #########

127 0.609492 ######### 127 0.628605 #########

128 0.614291 ######### 128 0.633555 #########

129 0.619090 ######### 129 0.638505 #########

130 0.623889 ######### 130 0.643454 #########

131 0.628689 ######### 131 0.648404 #########

132 0.633488 ######### 132 0.653353 #########

133 0.638287 ######### 133 0.658303 #########

134 0.643086 ######### 134 0.663253 #########

135 0.647885 ######### 135 0.668202 #########

136 0.652684 ######### 136 0.673152 #########

137 0.657483 ######### 137 0.678102 #########

138 0.662283 ######### 138 0.683051 #########

139 0.667082 ######### 139 0.688001 #########

140 0.671881 ######### 140 0.692951 #########

141 0.676680 ######### 141 0.697900 #########

142 0.681479 ######### 142 0.702850 #########

143 0.686278 ######### 143 0.707800 #########

144 0.691078 ######### 144 0.712749 #########

145 0.695877 ######### 145 0.717699 #########

146 0.700676 ######### 146 0.722649 #########

147 0.705475 ######### 147 0.727598 #########

148 0.710274 ######### 148 0.732548 #########

149 0.715073 ######### 149 0.737497 #########

150 0.719872 ######### 150 0.742447 #########

151 0.724672 ######### 151 0.747397 #########

152 0.729471 ######### 152 0.752346 #########

153 0.734270 ######### 153 0.757296 #########

154 0.739069 ######### 154 0.762246 #########

155 0.743868 ######### 155 0.767195 #########

156 0.748667 ######### 156 0.772145 #########

157 0.753466 ######### 157 0.777095 #########

158 0.758266 ######### 158 0.782044 #########

159 0.763065 ######### 159 0.786994 #########

160 0.767864 ######### 160 0.791944 #########

161 0.772663 ######### 161 0.796893 #########

162 0.777462 ######### 162 0.801843 #########

163 0.782261 ######### 163 0.806793 #########

164 0.787061 ######### 164 0.811742 #########

165 0.791860 ######### 165 0.816692 #########

166 0.796659 ######### 166 0.821641 #########

167 0.801458 ######### 167 0.826591 #########

168 0.806257 ######### 168 0.831541 #########

169 0.811056 ######### 169 0.836490 #########

Page 84: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

170 0.815855 ######### 170 0.841440 #########

171 0.820655 ######### 171 0.846390 #########

172 0.825454 ######### 172 0.851339 #########

173 0.830253 ######### 173 0.856289 #########

174 0.835052 ######### 174 0.861239 #########

175 0.839851 ######### 175 0.866188 #########

176 0.844650 ######### 176 0.871138 #########

177 0.849449 ######### 177 0.876088 #########

178 0.854249 ######### 178 0.881037 #########

179 0.859048 ######### 179 0.885987 #########

180 0.863847 ######### 180 0.890937 #########

181 0.868646 ######### 181 0.895886 #########

182 0.873445 ######### 182 0.900836 #########

183 0.878244 ######### 183 0.905785 #########

184 0.883044 ######### 184 0.910735 #########

185 0.887843 ######### 185 0.915685 #########

186 0.892642 ######### 186 0.920634 #########

187 0.897441 ######### 187 0.925584 #########

188 0.902240 ######### 188 0.930534 #########

189 0.907039 ######### 189 0.935483 #########

190 0.911838 ######### 190 0.940433 #########

191 0.916638 ######### 191 0.945383 #########

192 0.921437 ######### 192 0.950332 #########

193 0.926236 ######### 193 0.955282 #########

194 0.931035 ######### 194 0.960232 #########

195 0.935834 ######### 195 0.965181 #########

196 0.940633 ######### 196 0.970131 #########

197 0.945432 ######### 197 0.975081 #########

198 0.950232 ######### 198 0.980030 #########

199 0.955031 ######### 199 0.984980 #########

200 0.959830 ######### 200 0.989930 #########

INTEGRAL =### INTEGRAL =###

Page 85: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 0.0000

N 4.2193

RESULTADO

F(u,N) 0.0000

DATOS

v 0.6730

CALCULOS N 3.5139

xo 0N tramos=### RESULTADO

xn ### ### F(u,N) 0.7163

C1 C2 C3 C4C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0 0.000000 ### CALCULOS1 0.000000 ######### xo2 0.000000 ######### xn3 0.000000 ######### C14 0.000000 ######### x

5 0.000000 ######### 0 0.000000

6 0.000000 ######### 1 0.003365

7 0.000000 ######### 2 0.006730

8 0.000000 ######### 3 0.010095

9 0.000000 ######### 4 0.013459

10 0.000000 ######### 5 0.016824

11 0.000000 ######### 6 0.020189

12 0.000000 ######### 7 0.023554

13 0.000000 ######### 8 0.026919

14 0.000000 ######### 9 0.030284

15 0.000000 ######### 10 0.033648

16 0.000000 ######### 11 0.037013

17 0.000000 ######### 12 0.040378

18 0.000000 ######### 13 0.043743

19 0.000000 ######### 14 0.047108

20 0.000000 ######### 15 0.050473

21 0.000000 ######### 16 0.053838

22 0.000000 ######### 17 0.057202

23 0.000000 ######### 18 0.060567

24 0.000000 ######### 19 0.063932

25 0.000000 ######### 20 0.067297

26 0.000000 ######### 21 0.070662

27 0.000000 ######### 22 0.074027

28 0.000000 ######### 23 0.077391

29 0.000000 ######### 24 0.080756

30 0.000000 ######### 25 0.084121

31 0.000000 ######### 26 0.087486

32 0.000000 ######### 27 0.090851

10

0

Page 86: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

33 0.000000 ######### 28 0.094216

34 0.000000 ######### 29 0.097581

35 0.000000 ######### 30 0.100945

36 0.000000 ######### 31 0.104310

37 0.000000 ######### 32 0.107675

38 0.000000 ######### 33 0.111040

39 0.000000 ######### 34 0.114405

40 0.000000 ######### 35 0.117770

41 0.000000 ######### 36 0.121134

42 0.000000 ######### 37 0.124499

43 0.000000 ######### 38 0.127864

44 0.000000 ######### 39 0.131229

45 0.000000 ######### 40 0.134594

46 0.000000 ######### 41 0.137959

47 0.000000 ######### 42 0.141324

48 0.000000 ######### 43 0.144688

49 0.000000 ######### 44 0.148053

50 0.000000 ######### 45 0.151418

51 0.000000 ######### 46 0.154783

52 0.000000 ######### 47 0.158148

53 0.000000 ######### 48 0.161513

54 0.000000 ######### 49 0.164877

55 0.000000 ######### 50 0.168242

56 0.000000 ######### 51 0.171607

57 0.000000 ######### 52 0.174972

58 0.000000 ######### 53 0.178337

59 0.000000 ######### 54 0.181702

60 0.000000 ######### 55 0.185067

61 0.000000 ######### 56 0.188431

62 0.000000 ######### 57 0.191796

63 0.000000 ######### 58 0.195161

64 0.000000 ######### 59 0.198526

65 0.000000 ######### 60 0.201891

66 0.000000 ######### 61 0.205256

67 0.000000 ######### 62 0.208620

68 0.000000 ######### 63 0.211985

69 0.000000 ######### 64 0.215350

70 0.000000 ######### 65 0.218715

71 0.000000 ######### 66 0.222080

72 0.000000 ######### 67 0.225445

73 0.000000 ######### 68 0.228810

74 0.000000 ######### 69 0.232174

75 0.000000 ######### 70 0.235539

76 0.000000 ######### 71 0.238904

77 0.000000 ######### 72 0.242269

Page 87: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

78 0.000000 ######### 73 0.245634

79 0.000000 ######### 74 0.248999

80 0.000000 ######### 75 0.252363

81 0.000000 ######### 76 0.255728

82 0.000000 ######### 77 0.259093

83 0.000000 ######### 78 0.262458

84 0.000000 ######### 79 0.265823

85 0.000000 ######### 80 0.269188

86 0.000000 ######### 81 0.272553

87 0.000000 ######### 82 0.275917

88 0.000000 ######### 83 0.279282

89 0.000000 ######### 84 0.282647

90 0.000000 ######### 85 0.286012

91 0.000000 ######### 86 0.289377

92 0.000000 ######### 87 0.292742

93 0.000000 ######### 88 0.296106

94 0.000000 ######### 89 0.299471

95 0.000000 ######### 90 0.302836

96 0.000000 ######### 91 0.306201

97 0.000000 ######### 92 0.309566

98 0.000000 ######### 93 0.312931

99 0.000000 ######### 94 0.316296

100 0.000000 ######### 95 0.319660

101 0.000000 ######### 96 0.323025

102 0.000000 ######### 97 0.326390

103 0.000000 ######### 98 0.329755

104 0.000000 ######### 99 0.333120

105 0.000000 ######### 100 0.336485

106 0.000000 ######### 101 0.339849

107 0.000000 ######### 102 0.343214

108 0.000000 ######### 103 0.346579

109 0.000000 ######### 104 0.349944

110 0.000000 ######### 105 0.353309

111 0.000000 ######### 106 0.356674

112 0.000000 ######### 107 0.360039

113 0.000000 ######### 108 0.363403

114 0.000000 ######### 109 0.366768

115 0.000000 ######### 110 0.370133

116 0.000000 ######### 111 0.373498

117 0.000000 ######### 112 0.376863

118 0.000000 ######### 113 0.380228

119 0.000000 ######### 114 0.383592

120 0.000000 ######### 115 0.386957

121 0.000000 ######### 116 0.390322

122 0.000000 ######### 117 0.393687

123 0.000000 ######### 118 0.397052

Page 88: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

124 0.000000 ######### 119 0.400417

125 0.000000 ######### 120 0.403782

126 0.000000 ######### 121 0.407146

127 0.000000 ######### 122 0.410511

128 0.000000 ######### 123 0.413876

129 0.000000 ######### 124 0.417241

130 0.000000 ######### 125 0.420606

131 0.000000 ######### 126 0.423971

132 0.000000 ######### 127 0.427335

133 0.000000 ######### 128 0.430700

134 0.000000 ######### 129 0.434065

135 0.000000 ######### 130 0.437430

136 0.000000 ######### 131 0.440795

137 0.000000 ######### 132 0.444160

138 0.000000 ######### 133 0.447525

139 0.000000 ######### 134 0.450889

140 0.000000 ######### 135 0.454254

141 0.000000 ######### 136 0.457619

142 0.000000 ######### 137 0.460984

143 0.000000 ######### 138 0.464349

144 0.000000 ######### 139 0.467714

145 0.000000 ######### 140 0.471078

146 0.000000 ######### 141 0.474443

147 0.000000 ######### 142 0.477808

148 0.000000 ######### 143 0.481173

149 0.000000 ######### 144 0.484538

150 0.000000 ######### 145 0.487903

151 0.000000 ######### 146 0.491268

152 0.000000 ######### 147 0.494632

153 0.000000 ######### 148 0.497997

154 0.000000 ######### 149 0.501362

155 0.000000 ######### 150 0.504727

156 0.000000 ######### 151 0.508092

157 0.000000 ######### 152 0.511457

158 0.000000 ######### 153 0.514821

159 0.000000 ######### 154 0.518186

160 0.000000 ######### 155 0.521551

161 0.000000 ######### 156 0.524916

162 0.000000 ######### 157 0.528281

163 0.000000 ######### 158 0.531646

164 0.000000 ######### 159 0.535011

165 0.000000 ######### 160 0.538375

166 0.000000 ######### 161 0.541740

167 0.000000 ######### 162 0.545105

168 0.000000 ######### 163 0.548470

169 0.000000 ######### 164 0.551835

Page 89: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

170 0.000000 ######### 165 0.555200

171 0.000000 ######### 166 0.558564

172 0.000000 ######### 167 0.561929

173 0.000000 ######### 168 0.565294

174 0.000000 ######### 169 0.568659

175 0.000000 ######### 170 0.572024

176 0.000000 ######### 171 0.575389

177 0.000000 ######### 172 0.578754

178 0.000000 ######### 173 0.582118

179 0.000000 ######### 174 0.585483

180 0.000000 ######### 175 0.588848

181 0.000000 ######### 176 0.592213

182 0.000000 ######### 177 0.595578

183 0.000000 ######### 178 0.598943

184 0.000000 ######### 179 0.602307

185 0.000000 ######### 180 0.605672

186 0.000000 ######### 181 0.609037

187 0.000000 ######### 182 0.612402

188 0.000000 ######### 183 0.615767

189 0.000000 ######### 184 0.619132

190 0.000000 ######### 185 0.622497

191 0.000000 ######### 186 0.625861

192 0.000000 ######### 187 0.629226

193 0.000000 ######### 188 0.632591

194 0.000000 ######### 189 0.635956

195 0.000000 ######### 190 0.639321

196 0.000000 ######### 191 0.642686

197 0.000000 ######### 192 0.646050

198 0.000000 ######### 193 0.649415

199 0.000000 ######### 194 0.652780

200 0.000000 ######### 195 0.656145

196 0.659510

INTEGRAL =### 197 0.662875

198 0.666240

199 0.669604

200 0.672969

Page 90: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 0.7069

N 3.5139

RESULTADO

F(u,N) 0.7630

CALCULOS0 N tramos= 200 xo 0

0.67297 0.003365 xn 0.70694

C2 C3 C4 C1 C2f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200 x f(x)

1.000000 0 0.000000 1.000000

1.000000 1.000000 0.003365 1 0.003535 1.000000

1.000000 1.000000 0.003365 2 0.007069 1.000000

1.000000 1.000000 0.003365 3 0.010604 1.000000

1.000000 1.000000 0.003365 4 0.014139 1.000000

1.000001 1.000000 0.003365 5 0.017673 1.000001

1.000001 1.000001 0.003365 6 0.021208 1.000001

1.000002 1.000002 0.003365 7 0.024743 1.000002

1.000003 1.000002 0.003365 8 0.028277 1.000004

1.000005 1.000004 0.003365 9 0.031812 1.000005

1.000007 1.000006 0.003365 10 0.035347 1.000008

1.000009 1.000008 0.003365 11 0.038881 1.000011

1.000013 1.000011 0.003365 12 0.042416 1.000015

1.000017 1.000015 0.003365 13 0.045951 1.000020

1.000022 1.000019 0.003365 14 0.049485 1.000026

1.000028 1.000025 0.003365 15 0.053020 1.000033

1.000035 1.000031 0.003365 16 0.056555 1.000041

1.000043 1.000039 0.003365 17 0.060090 1.000051

1.000053 1.000048 0.003365 18 0.063624 1.000063

1.000064 1.000058 0.003365 19 0.067159 1.000076

1.000076 1.000070 0.003365 20 0.070694 1.000091

1.000090 1.000083 0.003365 21 0.074228 1.000107

1.000106 1.000098 0.003365 22 0.077763 1.000127

1.000124 1.000115 0.003365 23 0.081298 1.000148

1.000145 1.000134 0.003365 24 0.084832 1.000172

1.000167 1.000156 0.003365 25 0.088367 1.000198

1.000191 1.000179 0.003365 26 0.091902 1.000228

1.000219 1.000205 0.003366 27 0.095436 1.000260

1

CÁLCULO DE F(v,J)CÁLCULO DE F(v,J)

Page 91: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.000248 1.000234 0.003366 28 0.098971 1.000295

1.000281 1.000265 0.003366 29 0.102506 1.000334

1.000317 1.000299 0.003366 30 0.106040 1.000376

1.000355 1.000336 0.003366 31 0.109575 1.000422

1.000397 1.000376 0.003366 32 0.113110 1.000472

1.000443 1.000420 0.003366 33 0.116644 1.000526

1.000492 1.000467 0.003366 34 0.120179 1.000585

1.000544 1.000518 0.003367 35 0.123714 1.000647

1.000601 1.000573 0.003367 36 0.127248 1.000715

1.000662 1.000631 0.003367 37 0.130783 1.000787

1.000727 1.000694 0.003367 38 0.134318 1.000864

1.000796 1.000762 0.003367 39 0.137852 1.000947

1.000871 1.000834 0.003368 40 0.141387 1.001035

1.000950 1.000910 0.003368 41 0.144922 1.001129

1.001034 1.000992 0.003368 42 0.148456 1.001229

1.001123 1.001078 0.003368 43 0.151991 1.001335

1.001217 1.001170 0.003369 44 0.155526 1.001448

1.001318 1.001267 0.003369 45 0.159061 1.001567

1.001423 1.001371 0.003369 46 0.162595 1.001693

1.001535 1.001479 0.003370 47 0.166130 1.001826

1.001653 1.001594 0.003370 48 0.169665 1.001966

1.001778 1.001716 0.003371 49 0.173199 1.002115

1.001909 1.001843 0.003371 50 0.176734 1.002270

1.002047 1.001978 0.003372 51 0.180269 1.002434

1.002192 1.002119 0.003372 52 0.183803 1.002607

1.002344 1.002268 0.003372 53 0.187338 1.002788

1.002503 1.002424 0.003373 54 0.190873 1.002978

1.002670 1.002587 0.003374 55 0.194407 1.003177

1.002846 1.002758 0.003374 56 0.197942 1.003385

1.003029 1.002937 0.003375 57 0.201477 1.003603

1.003220 1.003124 0.003375 58 0.205011 1.003831

1.003420 1.003320 0.003376 59 0.208546 1.004069

1.003629 1.003525 0.003377 60 0.212081 1.004318

1.003847 1.003738 0.003377 61 0.215615 1.004577

1.004074 1.003960 0.003378 62 0.219150 1.004847

1.004311 1.004192 0.003379 63 0.222685 1.005129

1.004557 1.004434 0.003380 64 0.226219 1.005423

1.004813 1.004685 0.003381 65 0.229754 1.005728

1.005080 1.004947 0.003381 66 0.233289 1.006046

1.005357 1.005219 0.003382 67 0.236823 1.006376

1.005645 1.005501 0.003383 68 0.240358 1.006719

1.005944 1.005795 0.003384 69 0.243893 1.007075

1.006254 1.006099 0.003385 70 0.247427 1.007444

1.006576 1.006415 0.003386 71 0.250962 1.007828

1.006910 1.006743 0.003388 72 0.254497 1.008225

Page 92: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.007255 1.007082 0.003389 73 0.258032 1.008638

1.007613 1.007434 0.003390 74 0.261566 1.009064

1.007984 1.007798 0.003391 75 0.265101 1.009506

1.008367 1.008176 0.003392 76 0.268636 1.009964

1.008764 1.008566 0.003394 77 0.272170 1.010437

1.009174 1.008969 0.003395 78 0.275705 1.010926

1.009598 1.009386 0.003396 79 0.279240 1.011432

1.010037 1.009818 0.003398 80 0.282774 1.011955

1.010489 1.010263 0.003399 81 0.286309 1.012495

1.010956 1.010723 0.003401 82 0.289844 1.013053

1.011438 1.011197 0.003403 83 0.293378 1.013629

1.011936 1.011687 0.003404 84 0.296913 1.014223

1.012449 1.012193 0.003406 85 0.300448 1.014836

1.012978 1.012714 0.003408 86 0.303982 1.015468

1.013524 1.013251 0.003409 87 0.307517 1.016119

1.014086 1.013805 0.003411 88 0.311052 1.016791

1.014664 1.014375 0.003413 89 0.314586 1.017483

1.015261 1.014963 0.003415 90 0.318121 1.018196

1.015874 1.015568 0.003417 91 0.321656 1.018930

1.016506 1.016190 0.003419 92 0.325190 1.019686

1.017156 1.016831 0.003421 93 0.328725 1.020463

1.017825 1.017491 0.003424 94 0.332260 1.021264

1.018513 1.018169 0.003426 95 0.335794 1.022087

1.019220 1.018866 0.003428 96 0.339329 1.022934

1.019947 1.019584 0.003431 97 0.342864 1.023805

1.020694 1.020321 0.003433 98 0.346398 1.024700

1.021462 1.021078 0.003436 99 0.349933 1.025620

1.022251 1.021856 0.003438 100 0.353468 1.026565

1.023061 1.022656 0.003441 101 0.357003 1.027537

1.023892 1.023476 0.003444 102 0.360537 1.028534

1.024746 1.024319 0.003447 103 0.364072 1.029559

1.025623 1.025185 0.003450 104 0.367607 1.030611

1.026522 1.026073 0.003453 105 0.371141 1.031691

1.027445 1.026984 0.003456 106 0.374676 1.032800

1.028392 1.027919 0.003459 107 0.378211 1.033937

1.029363 1.028878 0.003462 108 0.381745 1.035104

1.030359 1.029861 0.003465 109 0.385280 1.036302

1.031380 1.030870 0.003469 110 0.388815 1.037530

1.032427 1.031904 0.003472 111 0.392349 1.038790

1.033500 1.032963 0.003476 112 0.395884 1.040082

1.034600 1.034050 0.003479 113 0.399419 1.041406

1.035726 1.035163 0.003483 114 0.402953 1.042764

1.036881 1.036304 0.003487 115 0.406488 1.044155

1.038064 1.037472 0.003491 116 0.410023 1.045581

1.039275 1.038669 0.003495 117 0.413557 1.047043

1.040516 1.039895 0.003499 118 0.417092 1.048540

Page 93: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.041786 1.041151 0.003503 119 0.420627 1.050074

1.043087 1.042436 0.003508 120 0.424161 1.051646

1.044418 1.043752 0.003512 121 0.427696 1.053256

1.045781 1.045100 0.003517 122 0.431231 1.054904

1.047176 1.046479 0.003521 123 0.434765 1.056592

1.048604 1.047890 0.003526 124 0.438300 1.058321

1.050065 1.049335 0.003531 125 0.441835 1.060091

1.051560 1.050813 0.003536 126 0.445369 1.061903

1.053090 1.052325 0.003541 127 0.448904 1.063758

1.054654 1.053872 0.003546 128 0.452439 1.065656

1.056255 1.055454 0.003551 129 0.455974 1.067599

1.057892 1.057073 0.003557 130 0.459508 1.069588

1.059566 1.058729 0.003562 131 0.463043 1.071623

1.061278 1.060422 0.003568 132 0.466578 1.073706

1.063028 1.062153 0.003574 133 0.470112 1.075837

1.064818 1.063923 0.003580 134 0.473647 1.078018

1.066649 1.065733 0.003586 135 0.477182 1.080249

1.068520 1.067584 0.003592 136 0.480716 1.082531

1.070432 1.069476 0.003599 137 0.484251 1.084866

1.072387 1.071410 0.003605 138 0.487786 1.087254

1.074386 1.073387 0.003612 139 0.491320 1.089697

1.076428 1.075407 0.003619 140 0.494855 1.092197

1.078516 1.077472 0.003626 141 0.498390 1.094753

1.080649 1.079583 0.003633 142 0.501924 1.097367

1.082830 1.081740 0.003640 143 0.505459 1.100041

1.085058 1.083944 0.003647 144 0.508994 1.102776

1.087334 1.086196 0.003655 145 0.512528 1.105573

1.089661 1.088497 0.003663 146 0.516063 1.108434

1.092037 1.090849 0.003671 147 0.519598 1.111359

1.094466 1.093252 0.003679 148 0.523132 1.114351

1.096947 1.095707 0.003687 149 0.526667 1.117411

1.099482 1.098215 0.003695 150 0.530202 1.120540

1.102072 1.100777 0.003704 151 0.533736 1.123740

1.104718 1.103395 0.003713 152 0.537271 1.127012

1.107422 1.106070 0.003722 153 0.540806 1.130359

1.110183 1.108802 0.003731 154 0.544340 1.133781

1.113004 1.111594 0.003740 155 0.547875 1.137281

1.115886 1.114445 0.003750 156 0.551410 1.140861

1.118831 1.117358 0.003760 157 0.554945 1.144521

1.121838 1.120334 0.003770 158 0.558479 1.148265

1.124911 1.123374 0.003780 159 0.562014 1.152095

1.128049 1.126480 0.003790 160 0.565549 1.156011

1.131256 1.129653 0.003801 161 0.569083 1.160017

1.134531 1.132894 0.003812 162 0.572618 1.164115

1.137878 1.136205 0.003823 163 0.576153 1.168306

1.141296 1.139587 0.003835 164 0.579687 1.172594

Page 94: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.144789 1.143043 0.003846 165 0.583222 1.176980

1.148357 1.146573 0.003858 166 0.586757 1.181467

1.152002 1.150179 0.003870 167 0.590291 1.186057

1.155726 1.153864 0.003883 168 0.593826 1.190754

1.159532 1.157629 0.003895 169 0.597361 1.195560

1.163420 1.161476 0.003908 170 0.600895 1.200478

1.167392 1.165406 0.003921 171 0.604430 1.205510

1.171451 1.169422 0.003935 172 0.607965 1.210661

1.175599 1.173525 0.003949 173 0.611499 1.215932

1.179838 1.177719 0.003963 174 0.615034 1.221328

1.184170 1.182004 0.003977 175 0.618569 1.226852

1.188597 1.186384 0.003992 176 0.622103 1.232506

1.193122 1.190860 0.004007 177 0.625638 1.238296

1.197747 1.195435 0.004022 178 0.629173 1.244224

1.202475 1.200111 0.004038 179 0.632707 1.250295

1.207307 1.204891 0.004054 180 0.636242 1.256512

1.212247 1.209777 0.004071 181 0.639777 1.262880

1.217298 1.214773 0.004088 182 0.643311 1.269404

1.222463 1.219880 0.004105 183 0.646846 1.276087

1.227743 1.225103 0.004122 184 0.650381 1.282935

1.233143 1.230443 0.004140 185 0.653916 1.289953

1.238666 1.235905 0.004159 186 0.657450 1.297146

1.244315 1.241490 0.004177 187 0.660985 1.304519

1.250092 1.247203 0.004197 188 0.664520 1.312077

1.256003 1.253048 0.004216 189 0.668054 1.319828

1.262050 1.259026 0.004236 190 0.671589 1.327776

1.268237 1.265144 0.004257 191 0.675124 1.335928

1.274569 1.271403 0.004278 192 0.678658 1.344291

1.281048 1.277808 0.004300 193 0.682193 1.352871

1.287680 1.284364 0.004322 194 0.685728 1.361677

1.294469 1.291075 0.004344 195 0.689262 1.370715

1.301420 1.297945 0.004367 196 0.692797 1.379993

1.308537 1.304978 0.004391 197 0.696332 1.389520

1.315824 1.312180 0.004415 198 0.699866 1.399305

1.323289 1.319557 0.004440 199 0.703401 1.409356

1.330935 1.327112 0.004466 200 0.706936 1.419683

INTEGRAL = 0.71634

Page 95: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 0.7412

N 3.5139

RESULTADO

F(u,N) 0.8135

CALCULOSxo 0N tramos=###xn ### ###C1 C2 C3 C4x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0 0.000000 ###

N tramos= 200 1 0.003706 ### ######

0.003535 2 0.007412 ### ######

C3 C4 3 0.011118 ### ######

(F(x)+F(x+1))/2 C4=C3*Xn/200 4 0.014824 ### ######

5 0.018529 ### ######

1.000000 0.003535 6 0.022235 ### ######

1.000000 0.003535 7 0.025941 ### ######

1.000000 0.003535 8 0.029647 ### ######

1.000000 0.003535 9 0.033353 ### ######

1.000001 0.003535 10 0.037059 ### ######

1.000001 0.003535 11 0.040765 ### ######

1.000002 0.003535 12 0.044471 ### ######

1.000003 0.003535 13 0.048177 ### ######

1.000005 0.003535 14 0.051882 ### ######

1.000007 0.003535 15 0.055588 ### ######

1.000010 0.003535 16 0.059294 ### ######

1.000013 0.003535 17 0.063000 ### ######

1.000017 0.003535 18 0.066706 ### ######

1.000023 0.003535 19 0.070412 ### ######

1.000029 0.003535 20 0.074118 ### ######

1.000037 0.003535 21 0.077824 ### ######

1.000046 0.003535 22 0.081529 ### ######

1.000057 0.003535 23 0.085235 ### ######

1.000069 0.003535 24 0.088941 ### ######

1.000083 0.003535 25 0.092647 ### ######

1.000099 0.003535 26 0.096353 ### ######

1.000117 0.003535 27 0.100059 ### ######

1.000137 0.003535 28 0.103765 ### ######

1.000160 0.003535 29 0.107471 ### ######

1.000185 0.003535 30 0.111177 ### ######

1.000213 0.003535 31 0.114882 ### ######

1.000244 0.003536 32 0.118588 ### ######

2

Page 96: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.000278 0.003536 33 0.122294 ### ######

1.000315 0.003536 34 0.126000 ### ######

1.000355 0.003536 35 0.129706 ### ######

1.000399 0.003536 36 0.133412 ### ######

1.000447 0.003536 37 0.137118 ### ######

1.000499 0.003536 38 0.140824 ### ######

1.000555 0.003537 39 0.144530 ### ######

1.000616 0.003537 40 0.148235 ### ######

1.000681 0.003537 41 0.151941 ### ######

1.000751 0.003537 42 0.155647 ### ######

1.000826 0.003538 43 0.159353 ### ######

1.000906 0.003538 44 0.163059 ### ######

1.000991 0.003538 45 0.166765 ### ######

1.001082 0.003539 46 0.170471 ### ######

1.001179 0.003539 47 0.174177 ### ######

1.001282 0.003539 48 0.177883 ### ######

1.001391 0.003540 49 0.181588 ### ######

1.001507 0.003540 50 0.185294 ### ######

1.001630 0.003540 51 0.189000 ### ######

1.001759 0.003541 52 0.192706 ### ######

1.001896 0.003541 53 0.196412 ### ######

1.002040 0.003542 54 0.200118 ### ######

1.002192 0.003542 55 0.203824 ### ######

1.002352 0.003543 56 0.207530 ### ######

1.002521 0.003544 57 0.211236 ### ######

1.002697 0.003544 58 0.214941 ### ######

1.002883 0.003545 59 0.218647 ### ######

1.003077 0.003546 60 0.222353 ### ######

1.003281 0.003546 61 0.226059 ### ######

1.003494 0.003547 62 0.229765 ### ######

1.003717 0.003548 63 0.233471 ### ######

1.003950 0.003549 64 0.237177 ### ######

1.004193 0.003550 65 0.240883 ### ######

1.004447 0.003550 66 0.244588 ### ######

1.004712 0.003551 67 0.248294 ### ######

1.004988 0.003552 68 0.252000 ### ######

1.005276 0.003553 69 0.255706 ### ######

1.005575 0.003554 70 0.259412 ### ######

1.005887 0.003555 71 0.263118 ### ######

1.006211 0.003557 72 0.266824 ### ######

1.006547 0.003558 73 0.270530 ### ######

1.006897 0.003559 74 0.274236 ### ######

1.007260 0.003560 75 0.277941 ### ######

1.007636 0.003562 76 0.281647 ### ######

1.008027 0.003563 77 0.285353 ### ######

Page 97: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.008431 0.003564 78 0.289059 ### ######

1.008851 0.003566 79 0.292765 ### ######

1.009285 0.003567 80 0.296471 ### ######

1.009735 0.003569 81 0.300177 ### ######

1.010200 0.003571 82 0.303883 ### ######

1.010682 0.003572 83 0.307589 ### ######

1.011179 0.003574 84 0.311294 ### ######

1.011694 0.003576 85 0.315000 ### ######

1.012225 0.003578 86 0.318706 ### ######

1.012774 0.003580 87 0.322412 ### ######

1.013341 0.003582 88 0.326118 ### ######

1.013926 0.003584 89 0.329824 ### ######

1.014529 0.003586 90 0.333530 ### ######

1.015152 0.003588 91 0.337236 ### ######

1.015794 0.003591 92 0.340942 ### ######

1.016455 0.003593 93 0.344647 ### ######

1.017137 0.003595 94 0.348353 ### ######

1.017839 0.003598 95 0.352059 ### ######

1.018563 0.003600 96 0.355765 ### ######

1.019308 0.003603 97 0.359471 ### ######

1.020074 0.003606 98 0.363177 ### ######

1.020864 0.003608 99 0.366883 ### ######

1.021675 0.003611 100 0.370589 ### ######

1.022511 0.003614 101 0.374295 ### ######

1.023369 0.003617 102 0.378000 ### ######

1.024252 0.003620 103 0.381706 ### ######

1.025160 0.003624 104 0.385412 ### ######

1.026093 0.003627 105 0.389118 ### ######

1.027051 0.003630 106 0.392824 ### ######

1.028035 0.003634 107 0.396530 ### ######

1.029047 0.003637 108 0.400236 ### ######

1.030085 0.003641 109 0.403942 ### ######

1.031151 0.003645 110 0.407647 ### ######

1.032245 0.003649 111 0.411353 ### ######

1.033368 0.003653 112 0.415059 ### ######

1.034521 0.003657 113 0.418765 ### ######

1.035703 0.003661 114 0.422471 ### ######

1.036916 0.003665 115 0.426177 ### ######

1.038160 0.003670 116 0.429883 ### ######

1.039436 0.003674 117 0.433589 ### ######

1.040744 0.003679 118 0.437295 ### ######

1.042085 0.003683 119 0.441000 ### ######

1.043459 0.003688 120 0.444706 ### ######

1.044868 0.003693 121 0.448412 ### ######

1.046312 0.003698 122 0.452118 ### ######

1.047792 0.003704 123 0.455824 ### ######

Page 98: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.049307 0.003709 124 0.459530 ### ######

1.050860 0.003714 125 0.463236 ### ######

1.052451 0.003720 126 0.466942 ### ######

1.054080 0.003726 127 0.470648 ### ######

1.055748 0.003732 128 0.474353 ### ######

1.057457 0.003738 129 0.478059 ### ######

1.059206 0.003744 130 0.481765 ### ######

1.060997 0.003750 131 0.485471 ### ######

1.062830 0.003757 132 0.489177 ### ######

1.064707 0.003763 133 0.492883 ### ######

1.066628 0.003770 134 0.496589 ### ######

1.068594 0.003777 135 0.500295 ### ######

1.070606 0.003784 136 0.504001 ### ######

1.072665 0.003792 137 0.507706 ### ######

1.074772 0.003799 138 0.511412 ### ######

1.076927 0.003807 139 0.515118 ### ######

1.079133 0.003814 140 0.518824 ### ######

1.081390 0.003822 141 0.522530 ### ######

1.083698 0.003831 142 0.526236 ### ######

1.086060 0.003839 143 0.529942 ### ######

1.088476 0.003847 144 0.533648 ### ######

1.090947 0.003856 145 0.537354 ### ######

1.093475 0.003865 146 0.541059 ### ######

1.096060 0.003874 147 0.544765 ### ######

1.098704 0.003884 148 0.548471 ### ######

1.101409 0.003893 149 0.552177 ### ######

1.104175 0.003903 150 0.555883 ### ######

1.107003 0.003913 151 0.559589 ### ######

1.109896 0.003923 152 0.563295 ### ######

1.112855 0.003934 153 0.567001 ### ######

1.115881 0.003944 154 0.570706 ### ######

1.118975 0.003955 155 0.574412 ### ######

1.122140 0.003966 156 0.578118 ### ######

1.125376 0.003978 157 0.581824 ### ######

1.128685 0.003990 158 0.585530 ### ######

1.132070 0.004002 159 0.589236 ### ######

1.135531 0.004014 160 0.592942 ### ######

1.139071 0.004026 161 0.596648 ### ######

1.142691 0.004039 162 0.600354 ### ######

1.146393 0.004052 163 0.604059 ### ######

1.150180 0.004066 164 0.607765 ### ######

1.154053 0.004079 165 0.611471 ### ######

1.158014 0.004093 166 0.615177 ### ######

1.162066 0.004108 167 0.618883 ### ######

1.166210 0.004122 168 0.622589 ### ######

1.170450 0.004137 169 0.626295 ### ######

Page 99: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

1.174787 0.004152 170 0.630001 ### ######

1.179223 0.004168 171 0.633707 ### ######

1.183762 0.004184 172 0.637412 ### ######

1.188406 0.004201 173 0.641118 ### ######

1.193157 0.004217 174 0.644824 ### ######

1.198019 0.004235 175 0.648530 ### ######

1.202994 0.004252 176 0.652236 ### ######

1.208086 0.004270 177 0.655942 ### ######

1.213297 0.004289 178 0.659648 ### ######

1.218630 0.004307 179 0.663354 ### ######

1.224090 0.004327 180 0.667060 ### ######

1.229679 0.004347 181 0.670765 ### ######

1.235401 0.004367 182 0.674471 ### ######

1.241260 0.004387 183 0.678177 ### ######

1.247259 0.004409 184 0.681883 ### ######

1.253403 0.004430 185 0.685589 ### ######

1.259696 0.004453 186 0.689295 ### ######

1.266142 0.004475 187 0.693001 ### ######

1.272746 0.004499 188 0.696707 ### ######

1.279511 0.004523 189 0.700413 ### ######

1.286444 0.004547 190 0.704118 ### ######

1.293550 0.004572 191 0.707824 ### ######

1.300832 0.004598 192 0.711530 ### ######

1.308298 0.004624 193 0.715236 ### ######

1.315953 0.004651 194 0.718942 ### ######

1.323802 0.004679 195 0.722648 ### ######

1.331852 0.004708 196 0.726354 ### ######

1.340109 0.004737 197 0.730060 ### ######

1.348581 0.004767 198 0.733765 ### ######

1.357274 0.004798 199 0.737471 ### ######

1.366196 0.004829 200 0.741177 ### ######

1.375354 0.004861

1.384757 0.004895 INTEGRAL =###1.394413 0.004929

1.404330 0.004964

1.414520 0.005000

INTEGRAL = 0.76299

Page 100: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS DATOS

v 0.7757 v 0.8105

N 3.5139 N 3.5139

RESULTADO RESULTADO

F(u,N) 0.8691 F(u,N) 0.9316

CALCULOS CALCULOSxo 0N tramos=### xo 0xn ###### xn ###

C4 C1 C2C3C4 C1 C2C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200 x f(x)

0 0.000000 ### 0 0.000000 ###

1 0.003878 ######### 1 0.004052 ###

2 0.007757 ######### 2 0.008105 ###

3 0.011635 ######### 3 0.012157 ###

4 0.015514 ######### 4 0.016209 ###

5 0.019392 ######### 5 0.020261 ###

6 0.023271 ######### 6 0.024314 ###

7 0.027149 ######### 7 0.028366 ###

8 0.031027 ######### 8 0.032418 ###

9 0.034906 ######### 9 0.036470 ###

10 0.038784 ######### 10 0.040523 ###

11 0.042663 ######### 11 0.044575 ###

12 0.046541 ######### 12 0.048627 ###

13 0.050420 ######### 13 0.052679 ###

14 0.054298 ######### 14 0.056732 ###

15 0.058176 ######### 15 0.060784 ###

16 0.062055 ######### 16 0.064836 ###

17 0.065933 ######### 17 0.068888 ###

18 0.069812 ######### 18 0.072941 ###

19 0.073690 ######### 19 0.076993 ###

20 0.077569 ######### 20 0.081045 ###

21 0.081447 ######### 21 0.085097 ###

22 0.085325 ######### 22 0.089150 ###

23 0.089204 ######### 23 0.093202 ###

24 0.093082 ######### 24 0.097254 ###

25 0.096961 ######### 25 0.101307 ###

26 0.100839 ######### 26 0.105359 ###

27 0.104718 ######### 27 0.109411 ###

28 0.108596 ######### 28 0.113463 ###

29 0.112474 ######### 29 0.117516 ###

30 0.116353 ######### 30 0.121568 ###

31 0.120231 ######### 31 0.125620 ###

32 0.124110 ######### 32 0.129672 ###

3 4

Page 101: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

33 0.127988 ######### 33 0.133725 ###

34 0.131867 ######### 34 0.137777 ###

35 0.135745 ######### 35 0.141829 ###

36 0.139623 ######### 36 0.145881 ###

37 0.143502 ######### 37 0.149934 ###

38 0.147380 ######### 38 0.153986 ###

39 0.151259 ######### 39 0.158038 ###

40 0.155137 ######### 40 0.162090 ###

41 0.159016 ######### 41 0.166143 ###

42 0.162894 ######### 42 0.170195 ###

43 0.166772 ######### 43 0.174247 ###

44 0.170651 ######### 44 0.178299 ###

45 0.174529 ######### 45 0.182352 ###

46 0.178408 ######### 46 0.186404 ###

47 0.182286 ######### 47 0.190456 ###

48 0.186165 ######### 48 0.194509 ###

49 0.190043 ######### 49 0.198561 ###

50 0.193921 ######### 50 0.202613 ###

51 0.197800 ######### 51 0.206665 ###

52 0.201678 ######### 52 0.210718 ###

53 0.205557 ######### 53 0.214770 ###

54 0.209435 ######### 54 0.218822 ###

55 0.213313 ######### 55 0.222874 ###

56 0.217192 ######### 56 0.226927 ###

57 0.221070 ######### 57 0.230979 ###

58 0.224949 ######### 58 0.235031 ###

59 0.228827 ######### 59 0.239083 ###

60 0.232706 ######### 60 0.243136 ###

61 0.236584 ######### 61 0.247188 ###

62 0.240462 ######### 62 0.251240 ###

63 0.244341 ######### 63 0.255292 ###

64 0.248219 ######### 64 0.259345 ###

65 0.252098 ######### 65 0.263397 ###

66 0.255976 ######### 66 0.267449 ###

67 0.259855 ######### 67 0.271501 ###

68 0.263733 ######### 68 0.275554 ###

69 0.267611 ######### 69 0.279606 ###

70 0.271490 ######### 70 0.283658 ###

71 0.275368 ######### 71 0.287711 ###

72 0.279247 ######### 72 0.291763 ###

73 0.283125 ######### 73 0.295815 ###

74 0.287004 ######### 74 0.299867 ###

75 0.290882 ######### 75 0.303920 ###

76 0.294760 ######### 76 0.307972 ###

77 0.298639 ######### 77 0.312024 ###

Page 102: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

78 0.302517 ######### 78 0.316076 ###

79 0.306396 ######### 79 0.320129 ###

80 0.310274 ######### 80 0.324181 ###

81 0.314153 ######### 81 0.328233 ###

82 0.318031 ######### 82 0.332285 ###

83 0.321909 ######### 83 0.336338 ###

84 0.325788 ######### 84 0.340390 ###

85 0.329666 ######### 85 0.344442 ###

86 0.333545 ######### 86 0.348494 ###

87 0.337423 ######### 87 0.352547 ###

88 0.341302 ######### 88 0.356599 ###

89 0.345180 ######### 89 0.360651 ###

90 0.349058 ######### 90 0.364703 ###

91 0.352937 ######### 91 0.368756 ###

92 0.356815 ######### 92 0.372808 ###

93 0.360694 ######### 93 0.376860 ###

94 0.364572 ######### 94 0.380913 ###

95 0.368451 ######### 95 0.384965 ###

96 0.372329 ######### 96 0.389017 ###

97 0.376207 ######### 97 0.393069 ###

98 0.380086 ######### 98 0.397122 ###

99 0.383964 ######### 99 0.401174 ###

100 0.387843 ######### 100 0.405226 ###

101 0.391721 ######### 101 0.409278 ###

102 0.395600 ######### 102 0.413331 ###

103 0.399478 ######### 103 0.417383 ###

104 0.403356 ######### 104 0.421435 ###

105 0.407235 ######### 105 0.425487 ###

106 0.411113 ######### 106 0.429540 ###

107 0.414992 ######### 107 0.433592 ###

108 0.418870 ######### 108 0.437644 ###

109 0.422749 ######### 109 0.441696 ###

110 0.426627 ######### 110 0.445749 ###

111 0.430505 ######### 111 0.449801 ###

112 0.434384 ######### 112 0.453853 ###

113 0.438262 ######### 113 0.457905 ###

114 0.442141 ######### 114 0.461958 ###

115 0.446019 ######### 115 0.466010 ###

116 0.449898 ######### 116 0.470062 ###

117 0.453776 ######### 117 0.474115 ###

118 0.457654 ######### 118 0.478167 ###

119 0.461533 ######### 119 0.482219 ###

120 0.465411 ######### 120 0.486271 ###

121 0.469290 ######### 121 0.490324 ###

122 0.473168 ######### 122 0.494376 ###

123 0.477047 ######### 123 0.498428 ###

Page 103: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

124 0.480925 ######### 124 0.502480 ###

125 0.484803 ######### 125 0.506533 ###

126 0.488682 ######### 126 0.510585 ###

127 0.492560 ######### 127 0.514637 ###

128 0.496439 ######### 128 0.518689 ###

129 0.500317 ######### 129 0.522742 ###

130 0.504196 ######### 130 0.526794 ###

131 0.508074 ######### 131 0.530846 ###

132 0.511952 ######### 132 0.534898 ###

133 0.515831 ######### 133 0.538951 ###

134 0.519709 ######### 134 0.543003 ###

135 0.523588 ######### 135 0.547055 ###

136 0.527466 ######### 136 0.551108 ###

137 0.531345 ######### 137 0.555160 ###

138 0.535223 ######### 138 0.559212 ###

139 0.539101 ######### 139 0.563264 ###

140 0.542980 ######### 140 0.567317 ###

141 0.546858 ######### 141 0.571369 ###

142 0.550737 ######### 142 0.575421 ###

143 0.554615 ######### 143 0.579473 ###

144 0.558494 ######### 144 0.583526 ###

145 0.562372 ######### 145 0.587578 ###

146 0.566250 ######### 146 0.591630 ###

147 0.570129 ######### 147 0.595682 ###

148 0.574007 ######### 148 0.599735 ###

149 0.577886 ######### 149 0.603787 ###

150 0.581764 ######### 150 0.607839 ###

151 0.585642 ######### 151 0.611891 ###

152 0.589521 ######### 152 0.615944 ###

153 0.593399 ######### 153 0.619996 ###

154 0.597278 ######### 154 0.624048 ###

155 0.601156 ######### 155 0.628100 ###

156 0.605035 ######### 156 0.632153 ###

157 0.608913 ######### 157 0.636205 ###

158 0.612791 ######### 158 0.640257 ###

159 0.616670 ######### 159 0.644310 ###

160 0.620548 ######### 160 0.648362 ###

161 0.624427 ######### 161 0.652414 ###

162 0.628305 ######### 162 0.656466 ###

163 0.632184 ######### 163 0.660519 ###

164 0.636062 ######### 164 0.664571 ###

165 0.639940 ######### 165 0.668623 ###

166 0.643819 ######### 166 0.672675 ###

167 0.647697 ######### 167 0.676728 ###

168 0.651576 ######### 168 0.680780 ###

169 0.655454 ######### 169 0.684832 ###

Page 104: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

170 0.659333 ######### 170 0.688884 ###

171 0.663211 ######### 171 0.692937 ###

172 0.667089 ######### 172 0.696989 ###

173 0.670968 ######### 173 0.701041 ###

174 0.674846 ######### 174 0.705093 ###

175 0.678725 ######### 175 0.709146 ###

176 0.682603 ######### 176 0.713198 ###

177 0.686482 ######### 177 0.717250 ###

178 0.690360 ######### 178 0.721302 ###

179 0.694238 ######### 179 0.725355 ###

180 0.698117 ######### 180 0.729407 ###

181 0.701995 ######### 181 0.733459 ###

182 0.705874 ######### 182 0.737512 ###

183 0.709752 ######### 183 0.741564 ###

184 0.713631 ######### 184 0.745616 ###

185 0.717509 ######### 185 0.749668 ###

186 0.721387 ######### 186 0.753721 ###

187 0.725266 ######### 187 0.757773 ###

188 0.729144 ######### 188 0.761825 ###

189 0.733023 ######### 189 0.765877 ###

190 0.736901 ######### 190 0.769930 ###

191 0.740780 ######### 191 0.773982 ###

192 0.744658 ######### 192 0.778034 ###

193 0.748536 ######### 193 0.782086 ###

194 0.752415 ######### 194 0.786139 ###

195 0.756293 ######### 195 0.790191 ###

196 0.760172 ######### 196 0.794243 ###

197 0.764050 ######### 197 0.798295 ###

198 0.767929 ######### 198 0.802348 ###

199 0.771807 ######### 199 0.806400 ###

200 0.775685 ######### 200 0.810452 ###

INTEGRAL =### INTEGRAL =

Page 105: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS DATOS

v 0.8455 v

N 3.5139 N

RESULTADO RESULTADO

F(u,N) 1.0040 F(u,N)

CALCULOS CALCULOS

N tramos=### xo 0N tramos=###### xn ######

C3C4 C1 C2C3C4(F(x)+F(x+1))/2C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0 0.000000 ### 0

###### 1 0.004227 ######### 1

###### 2 0.008455 ######### 2

###### 3 0.012682 ######### 3

###### 4 0.016909 ######### 4

###### 5 0.021137 ######### 5

###### 6 0.025364 ######### 6

###### 7 0.029591 ######### 7

###### 8 0.033819 ######### 8

###### 9 0.038046 ######### 9

###### 10 0.042274 ######### 10

###### 11 0.046501 ######### 11

###### 12 0.050728 ######### 12

###### 13 0.054956 ######### 13

###### 14 0.059183 ######### 14

###### 15 0.063410 ######### 15

###### 16 0.067638 ######### 16

###### 17 0.071865 ######### 17

###### 18 0.076092 ######### 18

###### 19 0.080320 ######### 19

###### 20 0.084547 ######### 20

###### 21 0.088774 ######### 21

###### 22 0.093002 ######### 22

###### 23 0.097229 ######### 23

###### 24 0.101456 ######### 24

###### 25 0.105684 ######### 25

###### 26 0.109911 ######### 26

###### 27 0.114138 ######### 27

###### 28 0.118366 ######### 28

###### 29 0.122593 ######### 29

###### 30 0.126821 ######### 30

###### 31 0.131048 ######### 31

###### 32 0.135275 ######### 32

5 6

Page 106: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

###### 33 0.139503 ######### 33

###### 34 0.143730 ######### 34

###### 35 0.147957 ######### 35

###### 36 0.152185 ######### 36

###### 37 0.156412 ######### 37

###### 38 0.160639 ######### 38

###### 39 0.164867 ######### 39

###### 40 0.169094 ######### 40

###### 41 0.173321 ######### 41

###### 42 0.177549 ######### 42

###### 43 0.181776 ######### 43

###### 44 0.186003 ######### 44

###### 45 0.190231 ######### 45

###### 46 0.194458 ######### 46

###### 47 0.198685 ######### 47

###### 48 0.202913 ######### 48

###### 49 0.207140 ######### 49

###### 50 0.211368 ######### 50

###### 51 0.215595 ######### 51

###### 52 0.219822 ######### 52

###### 53 0.224050 ######### 53

###### 54 0.228277 ######### 54

###### 55 0.232504 ######### 55

###### 56 0.236732 ######### 56

###### 57 0.240959 ######### 57

###### 58 0.245186 ######### 58

###### 59 0.249414 ######### 59

###### 60 0.253641 ######### 60

###### 61 0.257868 ######### 61

###### 62 0.262096 ######### 62

###### 63 0.266323 ######### 63

###### 64 0.270550 ######### 64

###### 65 0.274778 ######### 65

###### 66 0.279005 ######### 66

###### 67 0.283233 ######### 67

###### 68 0.287460 ######### 68

###### 69 0.291687 ######### 69

###### 70 0.295915 ######### 70

###### 71 0.300142 ######### 71

###### 72 0.304369 ######### 72

###### 73 0.308597 ######### 73

###### 74 0.312824 ######### 74

###### 75 0.317051 ######### 75

###### 76 0.321279 ######### 76

###### 77 0.325506 ######### 77

Page 107: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

###### 78 0.329733 ######### 78

###### 79 0.333961 ######### 79

###### 80 0.338188 ######### 80

###### 81 0.342415 ######### 81

###### 82 0.346643 ######### 82

###### 83 0.350870 ######### 83

###### 84 0.355097 ######### 84

###### 85 0.359325 ######### 85

###### 86 0.363552 ######### 86

###### 87 0.367780 ######### 87

###### 88 0.372007 ######### 88

###### 89 0.376234 ######### 89

###### 90 0.380462 ######### 90

###### 91 0.384689 ######### 91

###### 92 0.388916 ######### 92

###### 93 0.393144 ######### 93

###### 94 0.397371 ######### 94

###### 95 0.401598 ######### 95

###### 96 0.405826 ######### 96

###### 97 0.410053 ######### 97

###### 98 0.414280 ######### 98

###### 99 0.418508 ######### 99

###### 100 0.422735 ######### 100

###### 101 0.426962 ######### 101

###### 102 0.431190 ######### 102

###### 103 0.435417 ######### 103

###### 104 0.439644 ######### 104

###### 105 0.443872 ######### 105

###### 106 0.448099 ######### 106

###### 107 0.452327 ######### 107

###### 108 0.456554 ######### 108

###### 109 0.460781 ######### 109

###### 110 0.465009 ######### 110

###### 111 0.469236 ######### 111

###### 112 0.473463 ######### 112

###### 113 0.477691 ######### 113

###### 114 0.481918 ######### 114

###### 115 0.486145 ######### 115

###### 116 0.490373 ######### 116

###### 117 0.494600 ######### 117

###### 118 0.498827 ######### 118

###### 119 0.503055 ######### 119

###### 120 0.507282 ######### 120

###### 121 0.511509 ######### 121

###### 122 0.515737 ######### 122

###### 123 0.519964 ######### 123

Page 108: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

###### 124 0.524192 ######### 124

###### 125 0.528419 ######### 125

###### 126 0.532646 ######### 126

###### 127 0.536874 ######### 127

###### 128 0.541101 ######### 128

###### 129 0.545328 ######### 129

###### 130 0.549556 ######### 130

###### 131 0.553783 ######### 131

###### 132 0.558010 ######### 132

###### 133 0.562238 ######### 133

###### 134 0.566465 ######### 134

###### 135 0.570692 ######### 135

###### 136 0.574920 ######### 136

###### 137 0.579147 ######### 137

###### 138 0.583374 ######### 138

###### 139 0.587602 ######### 139

###### 140 0.591829 ######### 140

###### 141 0.596056 ######### 141

###### 142 0.600284 ######### 142

###### 143 0.604511 ######### 143

###### 144 0.608739 ######### 144

###### 145 0.612966 ######### 145

###### 146 0.617193 ######### 146

###### 147 0.621421 ######### 147

###### 148 0.625648 ######### 148

###### 149 0.629875 ######### 149

###### 150 0.634103 ######### 150

###### 151 0.638330 ######### 151

###### 152 0.642557 ######### 152

###### 153 0.646785 ######### 153

###### 154 0.651012 ######### 154

###### 155 0.655239 ######### 155

###### 156 0.659467 ######### 156

###### 157 0.663694 ######### 157

###### 158 0.667921 ######### 158

###### 159 0.672149 ######### 159

###### 160 0.676376 ######### 160

###### 161 0.680603 ######### 161

###### 162 0.684831 ######### 162

###### 163 0.689058 ######### 163

###### 164 0.693286 ######### 164

###### 165 0.697513 ######### 165

###### 166 0.701740 ######### 166

###### 167 0.705968 ######### 167

###### 168 0.710195 ######### 168

###### 169 0.714422 ######### 169

Page 109: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

###### 170 0.718650 ######### 170

###### 171 0.722877 ######### 171

###### 172 0.727104 ######### 172

###### 173 0.731332 ######### 173

###### 174 0.735559 ######### 174

###### 175 0.739786 ######### 175

###### 176 0.744014 ######### 176

###### 177 0.748241 ######### 177

###### 178 0.752468 ######### 178

###### 179 0.756696 ######### 179

###### 180 0.760923 ######### 180

###### 181 0.765151 ######### 181

###### 182 0.769378 ######### 182

###### 183 0.773605 ######### 183

###### 184 0.777833 ######### 184

###### 185 0.782060 ######### 185

###### 186 0.786287 ######### 186

###### 187 0.790515 ######### 187

###### 188 0.794742 ######### 188

###### 189 0.798969 ######### 189

###### 190 0.803197 ######### 190

###### 191 0.807424 ######### 191

###### 192 0.811651 ######### 192

###### 193 0.815879 ######### 193

###### 194 0.820106 ######### 194

###### 195 0.824333 ######### 195

###### 196 0.828561 ######### 196

###### 197 0.832788 ######### 197

###### 198 0.837015 ######### 198

###### 199 0.841243 ######### 199

###### 200 0.845470 ######### 200

INTEGRAL =### INTEGRAL =###

Page 110: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS DATOS

0.8807 v 0.9162

3.5139 N 3.5139

RESULTADO RESULTADO

1.0918 F(u,N) 1.2061

CALCULOS CALCULOSxo 0N tramos=### xo 0N tramos=###xn ###### xn ### ###C1 C2C3C4 C1 C2C3C4x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0.000000 ### 0 0.000000 ###

0.004404 ######### 1 0.004581 #########

0.008807 ######### 2 0.009162 #########

0.013211 ######### 3 0.013743 #########

0.017615 ######### 4 0.018325 #########

0.022018 ######### 5 0.022906 #########

0.026422 ######### 6 0.027487 #########

0.030826 ######### 7 0.032068 #########

0.035229 ######### 8 0.036649 #########

0.039633 ######### 9 0.041230 #########

0.044037 ######### 10 0.045812 #########

0.048440 ######### 11 0.050393 #########

0.052844 ######### 12 0.054974 #########

0.057248 ######### 13 0.059555 #########

0.061651 ######### 14 0.064136 #########

0.066055 ######### 15 0.068717 #########

0.070459 ######### 16 0.073299 #########

0.074862 ######### 17 0.077880 #########

0.079266 ######### 18 0.082461 #########

0.083670 ######### 19 0.087042 #########

0.088073 ######### 20 0.091623 #########

0.092477 ######### 21 0.096204 #########

0.096881 ######### 22 0.100786 #########

0.101284 ######### 23 0.105367 #########

0.105688 ######### 24 0.109948 #########

0.110092 ######### 25 0.114529 #########

0.114495 ######### 26 0.119110 #########

0.118899 ######### 27 0.123691 #########

0.123303 ######### 28 0.128273 #########

0.127706 ######### 29 0.132854 #########

0.132110 ######### 30 0.137435 #########

0.136514 ######### 31 0.142016 #########

0.140917 ######### 32 0.146597 #########

7

Page 111: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0.145321 ######### 33 0.151178 #########

0.149724 ######### 34 0.155759 #########

0.154128 ######### 35 0.160341 #########

0.158532 ######### 36 0.164922 #########

0.162935 ######### 37 0.169503 #########

0.167339 ######### 38 0.174084 #########

0.171743 ######### 39 0.178665 #########

0.176146 ######### 40 0.183246 #########

0.180550 ######### 41 0.187828 #########

0.184954 ######### 42 0.192409 #########

0.189357 ######### 43 0.196990 #########

0.193761 ######### 44 0.201571 #########

0.198165 ######### 45 0.206152 #########

0.202568 ######### 46 0.210733 #########

0.206972 ######### 47 0.215315 #########

0.211376 ######### 48 0.219896 #########

0.215779 ######### 49 0.224477 #########

0.220183 ######### 50 0.229058 #########

0.224587 ######### 51 0.233639 #########

0.228990 ######### 52 0.238220 #########

0.233394 ######### 53 0.242802 #########

0.237798 ######### 54 0.247383 #########

0.242201 ######### 55 0.251964 #########

0.246605 ######### 56 0.256545 #########

0.251009 ######### 57 0.261126 #########

0.255412 ######### 58 0.265707 #########

0.259816 ######### 59 0.270288 #########

0.264220 ######### 60 0.274870 #########

0.268623 ######### 61 0.279451 #########

0.273027 ######### 62 0.284032 #########

0.277431 ######### 63 0.288613 #########

0.281834 ######### 64 0.293194 #########

0.286238 ######### 65 0.297775 #########

0.290642 ######### 66 0.302357 #########

0.295045 ######### 67 0.306938 #########

0.299449 ######### 68 0.311519 #########

0.303853 ######### 69 0.316100 #########

0.308256 ######### 70 0.320681 #########

0.312660 ######### 71 0.325262 #########

0.317064 ######### 72 0.329844 #########

0.321467 ######### 73 0.334425 #########

0.325871 ######### 74 0.339006 #########

0.330275 ######### 75 0.343587 #########

0.334678 ######### 76 0.348168 #########

0.339082 ######### 77 0.352749 #########

Page 112: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0.343486 ######### 78 0.357331 #########

0.347889 ######### 79 0.361912 #########

0.352293 ######### 80 0.366493 #########

0.356697 ######### 81 0.371074 #########

0.361100 ######### 82 0.375655 #########

0.365504 ######### 83 0.380236 #########

0.369908 ######### 84 0.384818 #########

0.374311 ######### 85 0.389399 #########

0.378715 ######### 86 0.393980 #########

0.383119 ######### 87 0.398561 #########

0.387522 ######### 88 0.403142 #########

0.391926 ######### 89 0.407723 #########

0.396330 ######### 90 0.412304 #########

0.400733 ######### 91 0.416886 #########

0.405137 ######### 92 0.421467 #########

0.409541 ######### 93 0.426048 #########

0.413944 ######### 94 0.430629 #########

0.418348 ######### 95 0.435210 #########

0.422752 ######### 96 0.439791 #########

0.427155 ######### 97 0.444373 #########

0.431559 ######### 98 0.448954 #########

0.435963 ######### 99 0.453535 #########

0.440366 ######### 100 0.458116 #########

0.444770 ######### 101 0.462697 #########

0.449173 ######### 102 0.467278 #########

0.453577 ######### 103 0.471860 #########

0.457981 ######### 104 0.476441 #########

0.462384 ######### 105 0.481022 #########

0.466788 ######### 106 0.485603 #########

0.471192 ######### 107 0.490184 #########

0.475595 ######### 108 0.494765 #########

0.479999 ######### 109 0.499347 #########

0.484403 ######### 110 0.503928 #########

0.488806 ######### 111 0.508509 #########

0.493210 ######### 112 0.513090 #########

0.497614 ######### 113 0.517671 #########

0.502017 ######### 114 0.522252 #########

0.506421 ######### 115 0.526833 #########

0.510825 ######### 116 0.531415 #########

0.515228 ######### 117 0.535996 #########

0.519632 ######### 118 0.540577 #########

0.524036 ######### 119 0.545158 #########

0.528439 ######### 120 0.549739 #########

0.532843 ######### 121 0.554320 #########

0.537247 ######### 122 0.558902 #########

0.541650 ######### 123 0.563483 #########

Page 113: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0.546054 ######### 124 0.568064 #########

0.550458 ######### 125 0.572645 #########

0.554861 ######### 126 0.577226 #########

0.559265 ######### 127 0.581807 #########

0.563669 ######### 128 0.586389 #########

0.568072 ######### 129 0.590970 #########

0.572476 ######### 130 0.595551 #########

0.576880 ######### 131 0.600132 #########

0.581283 ######### 132 0.604713 #########

0.585687 ######### 133 0.609294 #########

0.590091 ######### 134 0.613876 #########

0.594494 ######### 135 0.618457 #########

0.598898 ######### 136 0.623038 #########

0.603302 ######### 137 0.627619 #########

0.607705 ######### 138 0.632200 #########

0.612109 ######### 139 0.636781 #########

0.616513 ######### 140 0.641363 #########

0.620916 ######### 141 0.645944 #########

0.625320 ######### 142 0.650525 #########

0.629724 ######### 143 0.655106 #########

0.634127 ######### 144 0.659687 #########

0.638531 ######### 145 0.664268 #########

0.642935 ######### 146 0.668849 #########

0.647338 ######### 147 0.673431 #########

0.651742 ######### 148 0.678012 #########

0.656146 ######### 149 0.682593 #########

0.660549 ######### 150 0.687174 #########

0.664953 ######### 151 0.691755 #########

0.669357 ######### 152 0.696336 #########

0.673760 ######### 153 0.700918 #########

0.678164 ######### 154 0.705499 #########

0.682568 ######### 155 0.710080 #########

0.686971 ######### 156 0.714661 #########

0.691375 ######### 157 0.719242 #########

0.695779 ######### 158 0.723823 #########

0.700182 ######### 159 0.728405 #########

0.704586 ######### 160 0.732986 #########

0.708990 ######### 161 0.737567 #########

0.713393 ######### 162 0.742148 #########

0.717797 ######### 163 0.746729 #########

0.722201 ######### 164 0.751310 #########

0.726604 ######### 165 0.755892 #########

0.731008 ######### 166 0.760473 #########

0.735411 ######### 167 0.765054 #########

0.739815 ######### 168 0.769635 #########

0.744219 ######### 169 0.774216 #########

Page 114: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0.748622 ######### 170 0.778797 #########

0.753026 ######### 171 0.783378 #########

0.757430 ######### 172 0.787960 #########

0.761833 ######### 173 0.792541 #########

0.766237 ######### 174 0.797122 #########

0.770641 ######### 175 0.801703 #########

0.775044 ######### 176 0.806284 #########

0.779448 ######### 177 0.810865 #########

0.783852 ######### 178 0.815447 #########

0.788255 ######### 179 0.820028 #########

0.792659 ######### 180 0.824609 #########

0.797063 ######### 181 0.829190 #########

0.801466 ######### 182 0.833771 #########

0.805870 ######### 183 0.838352 #########

0.810274 ######### 184 0.842934 #########

0.814677 ######### 185 0.847515 #########

0.819081 ######### 186 0.852096 #########

0.823485 ######### 187 0.856677 #########

0.827888 ######### 188 0.861258 #########

0.832292 ######### 189 0.865839 #########

0.836696 ######### 190 0.870421 #########

0.841099 ######### 191 0.875002 #########

0.845503 ######### 192 0.879583 #########

0.849907 ######### 193 0.884164 #########

0.854310 ######### 194 0.888745 #########

0.858714 ######### 195 0.893326 #########

0.863118 ######### 196 0.897908 #########

0.867521 ######### 197 0.902489 #########

0.871925 ######### 198 0.907070 #########

0.876329 ######### 199 0.911651 #########

0.880732 ######### 200 0.916232 #########

INTEGRAL =### INTEGRAL =###

Page 115: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS DATOS

v 0.9520 v 0.9879

N 3.5139 N 3.5139

RESULTADO RESULTADO

F(u,N) 1.3779 F(u,N) 1.7876

CALCULOS CALCULOSxo 0N tramos=### xo 0N tramos=###xn ###### xn ######C1 C2C3C4 C1 C2C3C4x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0 0.000000 ### 0 0.000000 ###

1 0.004760 ######### 1 0.004940 #########

2 0.009520 ######### 2 0.009879 #########

3 0.014279 ######### 3 0.014819 #########

4 0.019039 ######### 4 0.019758 #########

5 0.023799 ######### 5 0.024698 #########

6 0.028559 ######### 6 0.029638 #########

7 0.033319 ######### 7 0.034577 #########

8 0.038079 ######### 8 0.039517 #########

9 0.042838 ######### 9 0.044456 #########

10 0.047598 ######### 10 0.049396 #########

11 0.052358 ######### 11 0.054336 #########

12 0.057118 ######### 12 0.059275 #########

13 0.061878 ######### 13 0.064215 #########

14 0.066637 ######### 14 0.069154 #########

15 0.071397 ######### 15 0.074094 #########

16 0.076157 ######### 16 0.079034 #########

17 0.080917 ######### 17 0.083973 #########

18 0.085677 ######### 18 0.088913 #########

19 0.090437 ######### 19 0.093852 #########

20 0.095196 ######### 20 0.098792 #########

21 0.099956 ######### 21 0.103732 #########

22 0.104716 ######### 22 0.108671 #########

23 0.109476 ######### 23 0.113611 #########

24 0.114236 ######### 24 0.118550 #########

25 0.118995 ######### 25 0.123490 #########

26 0.123755 ######### 26 0.128430 #########

27 0.128515 ######### 27 0.133369 #########

28 0.133275 ######### 28 0.138309 #########

29 0.138035 ######### 29 0.143248 #########

30 0.142795 ######### 30 0.148188 #########

31 0.147554 ######### 31 0.153128 #########

32 0.152314 ######### 32 0.158067 #########

8 9

Page 116: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

33 0.157074 ######### 33 0.163007 #########

34 0.161834 ######### 34 0.167946 #########

35 0.166594 ######### 35 0.172886 #########

36 0.171353 ######### 36 0.177826 #########

37 0.176113 ######### 37 0.182765 #########

38 0.180873 ######### 38 0.187705 #########

39 0.185633 ######### 39 0.192644 #########

40 0.190393 ######### 40 0.197584 #########

41 0.195153 ######### 41 0.202524 #########

42 0.199912 ######### 42 0.207463 #########

43 0.204672 ######### 43 0.212403 #########

44 0.209432 ######### 44 0.217342 #########

45 0.214192 ######### 45 0.222282 #########

46 0.218952 ######### 46 0.227222 #########

47 0.223711 ######### 47 0.232161 #########

48 0.228471 ######### 48 0.237101 #########

49 0.233231 ######### 49 0.242040 #########

50 0.237991 ######### 50 0.246980 #########

51 0.242751 ######### 51 0.251920 #########

52 0.247510 ######### 52 0.256859 #########

53 0.252270 ######### 53 0.261799 #########

54 0.257030 ######### 54 0.266739 #########

55 0.261790 ######### 55 0.271678 #########

56 0.266550 ######### 56 0.276618 #########

57 0.271310 ######### 57 0.281557 #########

58 0.276069 ######### 58 0.286497 #########

59 0.280829 ######### 59 0.291437 #########

60 0.285589 ######### 60 0.296376 #########

61 0.290349 ######### 61 0.301316 #########

62 0.295109 ######### 62 0.306255 #########

63 0.299868 ######### 63 0.311195 #########

64 0.304628 ######### 64 0.316135 #########

65 0.309388 ######### 65 0.321074 #########

66 0.314148 ######### 66 0.326014 #########

67 0.318908 ######### 67 0.330953 #########

68 0.323668 ######### 68 0.335893 #########

69 0.328427 ######### 69 0.340833 #########

70 0.333187 ######### 70 0.345772 #########

71 0.337947 ######### 71 0.350712 #########

72 0.342707 ######### 72 0.355651 #########

73 0.347467 ######### 73 0.360591 #########

74 0.352226 ######### 74 0.365531 #########

75 0.356986 ######### 75 0.370470 #########

76 0.361746 ######### 76 0.375410 #########

77 0.366506 ######### 77 0.380349 #########

Page 117: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

78 0.371266 ######### 78 0.385289 #########

79 0.376026 ######### 79 0.390229 #########

80 0.380785 ######### 80 0.395168 #########

81 0.385545 ######### 81 0.400108 #########

82 0.390305 ######### 82 0.405047 #########

83 0.395065 ######### 83 0.409987 #########

84 0.399825 ######### 84 0.414927 #########

85 0.404584 ######### 85 0.419866 #########

86 0.409344 ######### 86 0.424806 #########

87 0.414104 ######### 87 0.429745 #########

88 0.418864 ######### 88 0.434685 #########

89 0.423624 ######### 89 0.439625 #########

90 0.428384 ######### 90 0.444564 #########

91 0.433143 ######### 91 0.449504 #########

92 0.437903 ######### 92 0.454443 #########

93 0.442663 ######### 93 0.459383 #########

94 0.447423 ######### 94 0.464323 #########

95 0.452183 ######### 95 0.469262 #########

96 0.456942 ######### 96 0.474202 #########

97 0.461702 ######### 97 0.479141 #########

98 0.466462 ######### 98 0.484081 #########

99 0.471222 ######### 99 0.489021 #########

100 0.475982 ######### 100 0.493960 #########

101 0.480742 ######### 101 0.498900 #########

102 0.485501 ######### 102 0.503839 #########

103 0.490261 ######### 103 0.508779 #########

104 0.495021 ######### 104 0.513719 #########

105 0.499781 ######### 105 0.518658 #########

106 0.504541 ######### 106 0.523598 #########

107 0.509300 ######### 107 0.528537 #########

108 0.514060 ######### 108 0.533477 #########

109 0.518820 ######### 109 0.538417 #########

110 0.523580 ######### 110 0.543356 #########

111 0.528340 ######### 111 0.548296 #########

112 0.533100 ######### 112 0.553235 #########

113 0.537859 ######### 113 0.558175 #########

114 0.542619 ######### 114 0.563115 #########

115 0.547379 ######### 115 0.568054 #########

116 0.552139 ######### 116 0.572994 #########

117 0.556899 ######### 117 0.577933 #########

118 0.561658 ######### 118 0.582873 #########

119 0.566418 ######### 119 0.587813 #########

120 0.571178 ######### 120 0.592752 #########

121 0.575938 ######### 121 0.597692 #########

122 0.580698 ######### 122 0.602631 #########

123 0.585458 ######### 123 0.607571 #########

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124 0.590217 ######### 124 0.612511 #########

125 0.594977 ######### 125 0.617450 #########

126 0.599737 ######### 126 0.622390 #########

127 0.604497 ######### 127 0.627329 #########

128 0.609257 ######### 128 0.632269 #########

129 0.614016 ######### 129 0.637209 #########

130 0.618776 ######### 130 0.642148 #########

131 0.623536 ######### 131 0.647088 #########

132 0.628296 ######### 132 0.652027 #########

133 0.633056 ######### 133 0.656967 #########

134 0.637816 ######### 134 0.661907 #########

135 0.642575 ######### 135 0.666846 #########

136 0.647335 ######### 136 0.671786 #########

137 0.652095 ######### 137 0.676725 #########

138 0.656855 ######### 138 0.681665 #########

139 0.661615 ######### 139 0.686605 #########

140 0.666374 ######### 140 0.691544 #########

141 0.671134 ######### 141 0.696484 #########

142 0.675894 ######### 142 0.701423 #########

143 0.680654 ######### 143 0.706363 #########

144 0.685414 ######### 144 0.711303 #########

145 0.690173 ######### 145 0.716242 #########

146 0.694933 ######### 146 0.721182 #########

147 0.699693 ######### 147 0.726121 #########

148 0.704453 ######### 148 0.731061 #########

149 0.709213 ######### 149 0.736001 #########

150 0.713973 ######### 150 0.740940 #########

151 0.718732 ######### 151 0.745880 #########

152 0.723492 ######### 152 0.750819 #########

153 0.728252 ######### 153 0.755759 #########

154 0.733012 ######### 154 0.760699 #########

155 0.737772 ######### 155 0.765638 #########

156 0.742531 ######### 156 0.770578 #########

157 0.747291 ######### 157 0.775517 #########

158 0.752051 ######### 158 0.780457 #########

159 0.756811 ######### 159 0.785397 #########

160 0.761571 ######### 160 0.790336 #########

161 0.766331 ######### 161 0.795276 #########

162 0.771090 ######### 162 0.800216 #########

163 0.775850 ######### 163 0.805155 #########

164 0.780610 ######### 164 0.810095 #########

165 0.785370 ######### 165 0.815034 #########

166 0.790130 ######### 166 0.819974 #########

167 0.794889 ######### 167 0.824914 #########

168 0.799649 ######### 168 0.829853 #########

169 0.804409 ######### 169 0.834793 #########

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170 0.809169 ######### 170 0.839732 #########

171 0.813929 ######### 171 0.844672 #########

172 0.818689 ######### 172 0.849612 #########

173 0.823448 ######### 173 0.854551 #########

174 0.828208 ######### 174 0.859491 #########

175 0.832968 ######### 175 0.864430 #########

176 0.837728 ######### 176 0.869370 #########

177 0.842488 ######### 177 0.874310 #########

178 0.847247 ######### 178 0.879249 #########

179 0.852007 ######### 179 0.884189 #########

180 0.856767 ######### 180 0.889128 #########

181 0.861527 ######### 181 0.894068 #########

182 0.866287 ######### 182 0.899008 #########

183 0.871047 ######### 183 0.903947 #########

184 0.875806 ######### 184 0.908887 #########

185 0.880566 ######### 185 0.913826 #########

186 0.885326 ######### 186 0.918766 #########

187 0.890086 ######### 187 0.923706 #########

188 0.894846 ######### 188 0.928645 #########

189 0.899605 ######### 189 0.933585 #########

190 0.904365 ######### 190 0.938524 #########

191 0.909125 ######### 191 0.943464 #########

192 0.913885 ######### 192 0.948404 #########

193 0.918645 ######### 193 0.953343 #########

194 0.923405 ######### 194 0.958283 #########

195 0.928164 ######### 195 0.963222 #########

196 0.932924 ######### 196 0.968162 #########

197 0.937684 ######### 197 0.973102 #########

198 0.942444 ######### 198 0.978041 #########

199 0.947204 ######### 199 0.982981 #########

200 0.951963 ######### 200 0.987920 #########

INTEGRAL =### INTEGRAL =###

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DATOS

v 0.0000

N 3.5139

RESULTADO

F(u,N) 0.0000

CALCULOSxo 0N tramos=###xn ######

C4 C1 C2C3C4C4=C3*Xn/200 x f(x)(F(x)+F(x+1))/2C4=C3*Xn/200

0 0.000000 ###

1 0.000000 #########

2 0.000000 #########

3 0.000000 #########

4 0.000000 #########

5 0.000000 #########

6 0.000000 #########

7 0.000000 #########

8 0.000000 #########

9 0.000000 #########

10 0.000000 #########

11 0.000000 #########

12 0.000000 #########

13 0.000000 #########

14 0.000000 #########

15 0.000000 #########

16 0.000000 #########

17 0.000000 #########

18 0.000000 #########

19 0.000000 #########

20 0.000000 #########

21 0.000000 #########

22 0.000000 #########

23 0.000000 #########

24 0.000000 #########

25 0.000000 #########

26 0.000000 #########

27 0.000000 #########

28 0.000000 #########

29 0.000000 #########

30 0.000000 #########

31 0.000000 #########

32 0.000000 #########

10

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33 0.000000 #########

34 0.000000 #########

35 0.000000 #########

36 0.000000 #########

37 0.000000 #########

38 0.000000 #########

39 0.000000 #########

40 0.000000 #########

41 0.000000 #########

42 0.000000 #########

43 0.000000 #########

44 0.000000 #########

45 0.000000 #########

46 0.000000 #########

47 0.000000 #########

48 0.000000 #########

49 0.000000 #########

50 0.000000 #########

51 0.000000 #########

52 0.000000 #########

53 0.000000 #########

54 0.000000 #########

55 0.000000 #########

56 0.000000 #########

57 0.000000 #########

58 0.000000 #########

59 0.000000 #########

60 0.000000 #########

61 0.000000 #########

62 0.000000 #########

63 0.000000 #########

64 0.000000 #########

65 0.000000 #########

66 0.000000 #########

67 0.000000 #########

68 0.000000 #########

69 0.000000 #########

70 0.000000 #########

71 0.000000 #########

72 0.000000 #########

73 0.000000 #########

74 0.000000 #########

75 0.000000 #########

76 0.000000 #########

77 0.000000 #########

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78 0.000000 #########

79 0.000000 #########

80 0.000000 #########

81 0.000000 #########

82 0.000000 #########

83 0.000000 #########

84 0.000000 #########

85 0.000000 #########

86 0.000000 #########

87 0.000000 #########

88 0.000000 #########

89 0.000000 #########

90 0.000000 #########

91 0.000000 #########

92 0.000000 #########

93 0.000000 #########

94 0.000000 #########

95 0.000000 #########

96 0.000000 #########

97 0.000000 #########

98 0.000000 #########

99 0.000000 #########

100 0.000000 #########

101 0.000000 #########

102 0.000000 #########

103 0.000000 #########

104 0.000000 #########

105 0.000000 #########

106 0.000000 #########

107 0.000000 #########

108 0.000000 #########

109 0.000000 #########

110 0.000000 #########

111 0.000000 #########

112 0.000000 #########

113 0.000000 #########

114 0.000000 #########

115 0.000000 #########

116 0.000000 #########

117 0.000000 #########

118 0.000000 #########

119 0.000000 #########

120 0.000000 #########

121 0.000000 #########

122 0.000000 #########

123 0.000000 #########

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124 0.000000 #########

125 0.000000 #########

126 0.000000 #########

127 0.000000 #########

128 0.000000 #########

129 0.000000 #########

130 0.000000 #########

131 0.000000 #########

132 0.000000 #########

133 0.000000 #########

134 0.000000 #########

135 0.000000 #########

136 0.000000 #########

137 0.000000 #########

138 0.000000 #########

139 0.000000 #########

140 0.000000 #########

141 0.000000 #########

142 0.000000 #########

143 0.000000 #########

144 0.000000 #########

145 0.000000 #########

146 0.000000 #########

147 0.000000 #########

148 0.000000 #########

149 0.000000 #########

150 0.000000 #########

151 0.000000 #########

152 0.000000 #########

153 0.000000 #########

154 0.000000 #########

155 0.000000 #########

156 0.000000 #########

157 0.000000 #########

158 0.000000 #########

159 0.000000 #########

160 0.000000 #########

161 0.000000 #########

162 0.000000 #########

163 0.000000 #########

164 0.000000 #########

165 0.000000 #########

166 0.000000 #########

167 0.000000 #########

168 0.000000 #########

169 0.000000 #########

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170 0.000000 #########

171 0.000000 #########

172 0.000000 #########

173 0.000000 #########

174 0.000000 #########

175 0.000000 #########

176 0.000000 #########

177 0.000000 #########

178 0.000000 #########

179 0.000000 #########

180 0.000000 #########

181 0.000000 #########

182 0.000000 #########

183 0.000000 #########

184 0.000000 #########

185 0.000000 #########

186 0.000000 #########

187 0.000000 #########

188 0.000000 #########

189 0.000000 #########

190 0.000000 #########

191 0.000000 #########

192 0.000000 #########

193 0.000000 #########

194 0.000000 #########

195 0.000000 #########

196 0.000000 #########

197 0.000000 #########

198 0.000000 #########

199 0.000000 #########

200 0.000000 #########

INTEGRAL =###

Page 125: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

METODO DE INTEGRACION DIRECTA - SOLUCIÓN DE BAKHMETEFF-VEN TE CHOW

DATOS: TRAMO RAPIDA Q = 2 CON LOS DATOS CALCULADOS:

n = 0.015 CLASIFICACION

So = 0.0105 TIPO DE CURVA :

b = 0.6 SZ = 1

P = 1.8

C= 2

L = 7

SI(Y(I7<I10,I8<I10),"1",SI(Y(I7>I10,I10>I8),"2",SI(Y(I8>I10,I10>I7),"2",SI(Y(I10<I7,I10<I8),"3","0 "))))

Y U=Y/Yn V=U^(N/J) F(u,N)

0 0.714 1.2682 1.3252 0.2009

1 0.698 1.2396 1.2898 0.2199

2 0.682 1.2110 1.2546 0.2422

3 0.666 1.1824 1.2196 0.2688

4 0.650 1.1537 1.1847 0.3011

5 0.633 1.1251 1.1499 0.3415

6 0.617 1.0965 1.1153 0.3943

7 0.601 1.0679 1.0809 0.4685

8 0.585 1.0393 1.0467 0.5877

9 0.569 1.0107 1.0126 0.8674

0.0000

0 5 10 15 20 25 30 35 400.500

0.550

0.600

0.650

0.700

0.750

0.800

Solución de Bakhmeteff

Column C

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METODO DE INTEGRACION DIRECTA - SOLUCIÓN DE BAKHMETEFF-VEN TE CHOW

TRAMO RAPIDA CON LOS DATOS CALCULADOS: DATOS ADICIONALES CALCULADOS:

CLASIFICACION h= 0.2732758833

ZONA : Yn= 0.563 N= 4.0537

2 Yc= 0.714 M= 3.8688

Yo= 0.714 J= 3.4210

Yf1= 0.569 N tramos= 9

Yp= 0.6415 -0.01611111

SI(I8<I7,"M",SI(I7=I8,"C",SI(I7<I8,"S","H o A" )))SI(Y(I7<I10,I8<I10),"1",SI(Y(I7>I10,I10>I8),"2",SI(Y(I8>I10,I10>I7),"2",SI(Y(I10<I7,I10<I8),"3","0 "))))

F(v,J) Δx x

0.2647 87.2608 0

0.2884 87.3966 0.1358

0.3160 87.7980 0.5372

0.3484 88.5135 1.2527 FÓRMULAS:

0.3884 91.3170 4.0562

0.4378 93.0715 5.8107

0.5021 95.7801 8.5193

0.5920 100.1181 12.8573

0.7357 107.8826 20.6218

1.0714 127.8719 40.6111

0.0000

0 5 10 15 20 25 30 35 400.500

0.550

0.600

0.650

0.700

0.750

0.800

Solución de Bakhmeteff

Column C

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

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PRIMERA ITERACION(para calcular "Yn" y "Yc")Y normal

METODO DE INTEGRACION DIRECTA - SOLUCIÓN DE BAKHMETEFF-VEN TE CHOW

0.02509457 Yn=0.1

0.15

0.4077472 0.2

0.250.3

0.350.4

0.45SI(Y(I7<I10,I8<I10),"1",SI(Y(I7>I10,I10>I8),"2",SI(Y(I8>I10,I10>I7),"2",SI(Y(I10<I7,I10<I8),"3","0 ")))) 0.5

0.55

0.6

0.650.7

0.750.8

0.850.9

0.951

1.051.1

1.15

1.21.251.3

1.351.4

1.451.5

1.551.6

1.651.7

1.751.8

1.851.9

1.95

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

32/1)

*(S

nQ 2

5

p

A

g

Q 2

Page 138: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

2

VARIACION "Yn" PARA 20 PARTICIONES=

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Page 143: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

PRIMERA ITERACION(para calcular "Yn" y "Yc")Y normal Y critico

Yc=0.0000 0 0.1 0.00040.0000 0 0 0.15 0.0016

0.0001 0 0 0.2 0.0041

0.0003 0 0 0.25 0.00870.0007 0 0 0.3 0.01640.0016 0 0 0.35 0.02830.0034 0 0 0.4 0.0457

0.0067 0 0 0.45 0.07030.0124 0 0 0.5 0.10400.0218 0.55 0 0.55 0.1488

0.0367 0 0.6 0.6 0.2074

0.0595 0 0 0.65 0.28230.0938 0 0 0.7 0.37680.1437 0 0 0.75 0.49430.2150 0 0 0.8 0.63860.3151 0 0 0.85 0.81400.4532 0 0 0.9 1.02520.6407 0 0 0.95 1.27710.8921 0 0 1 1.57541.2248 0 0 1.05 1.92601.6602 0 0 1.1 2.33542.2241 0 0 1.15 2.8107

2.9473 0 0 1.2 3.35923.8667 0 0 1.25 3.98925.0259 0 0 1.3 4.70916.4761 0 0 1.35 5.52838.2775 0 0 1.4 6.456510.5000 0 0 1.45 7.504113.2248 0 0 1.5 8.682216.5457 0 0 1.55 10.002520.5704 0 0 1.6 11.477425.4227 0 0 1.65 13.120031.2434 0 0 1.7 14.944138.1929 0 0 1.75 16.964246.4532 0 0 1.8 19.195656.2297 0 0 1.85 21.654367.7542 0 0 1.9 24.357281.2867 0 0 1.95 27.3220

2

5

p

A T

A3

Page 144: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

97.1191 0 0 2 30.56700.55 0.6

VARIACION "Yn" PARA 20 PARTICIONES= 0.0025 VARIACION "Yc" PARA 20 PARTICIONES=

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PRIMERA ITERACION(para calcular "Yn" y "Yc") SEGUNDA ITERACION(para calcular "Yn" y "Yc")Y critico Y normal

Yn=0 0 0.55 0.02180 0 1 0.5525 0.0224

0 0 2 0.555 0.0230

0 0 3 0.5575 0.02360 0 4 0.56 0.02430 0 5 0.5625 0.02490 0 6 0.565 0.0256

0 0 7 0.5675 0.02630 0 8 0.57 0.02700 0 9 0.5725 0.0277

0 0 10 0.575 0.0284

0 0 11 0.5775 0.02910.7 0 12 0.58 0.02990 0.75 13 0.5825 0.03070 0 14 0.585 0.03150 0 15 0.5875 0.03230 0 16 0.59 0.03310 0 17 0.5925 0.03400 0 18 0.595 0.03490 0 19 0.5975 0.03580 0 20 0.6 0.03670 0

0 00 0 VARIAC. "Yn" PARA 20 PARTIC.=

0 00 00 00 00 00 00 00 00 00 00 00 00 00 0

2

5

p

AT

A3

Page 150: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0 00.7 0.75

VARIACION "Yc" PARA 20 PARTICIONES= 0.0025

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SEGUNDA ITERACION(para calcular "Yn" y "Yc")Y normal Y critico

Yc=0 0 0.7 0.37680 0 1 0.7025 0.3821

0 0 2 0.705 0.3874

0 0 3 0.7075 0.39290 0 4 0.71 0.3983

0.5625 0 5 0.7125 0.40390 0.565 6 0.715 0.4094

0 0 7 0.7175 0.41510 0 8 0.72 0.42080 0 9 0.7225 0.4266

0 0 10 0.725 0.4324

0 0 11 0.7275 0.43830 0 12 0.73 0.44430 0 13 0.7325 0.45030 0 14 0.735 0.45640 0 15 0.7375 0.46250 0 16 0.74 0.46880 0 17 0.7425 0.47500 0 18 0.745 0.48140 0 19 0.7475 0.48780 0 20 0.75 0.4943

0.5625 0.565

0.000125 VARIAC. "Yc" PARA 20 PARTIC.=

2

5

p

A

T

A3

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SEGUNDA ITERACION(para calcular "Yn" y "Yc") TERCERA ITERACION(para calcular "Yn" y "Yc")Y critico Y normal

Y=0 0 0.5625 0.02490 0 1 0.5626 0.0249

0 0 2 0.5628 0.0250

0 0 3 0.5629 0.02500 0 4 0.5630 0.0250

0.7125 0 5 0.5631 0.02510 0.715 6 0.5633 0.0251

0 0 7 0.5634 0.02510 0 8 0.5635 0.02520 0 9 0.5636 0.0252

0 0 10 0.5638 0.0252

0 0 11 0.5639 0.02530 0 12 0.5640 0.02530 0 13 0.5641 0.02530 0 14 0.5643 0.02540 0 15 0.5644 0.02540 0 16 0.5645 0.02540 0 17 0.5646 0.02550 0 18 0.5648 0.02550 0 19 0.5649 0.02550 0 20 0.5650 0.0256

0.7125 0.715

Y normal =0.000125

2

5

p

A

T

A3

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Page 167: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

TERCERA ITERACION(para calcular "Yn" y "Yc")Y normal Y critico

Yc=0 0 0.7125 0.4039 00 1 0.7126 0.4041 0

0 2 0.7128 0.4044 0

0 3 0.7129 0.4047 00 4 0.7130 0.4050 0

0.563125 5 0.7131 0.4052 00 6 0.7133 0.4055 0

0 7 0.7134 0.4058 00 8 0.7135 0.4061 00 9 0.7136 0.4064 0

0 10 0.7138 0.4066 0

0 11 0.7139 0.4069 00 12 0.7140 0.4072 00 13 0.7141 0.4075 0.7141250 14 0.7143 0.4078 00 15 0.7144 0.4080 00 16 0.7145 0.4083 00 17 0.7146 0.4086 00 18 0.7148 0.4089 00 19 0.7149 0.4092 00 20 0.7150 0.4094 0

0.5631 Y critico= 0.7141

2

5

p

A

T

A3

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Page 171: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA
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Page 173: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.2682

N 4.0537

RESULTADO

F(u,N) 0.4101

CALCULOSxo 0 N tramos= 200

xn 1.26821 0.006341

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006341 1.000000 1.000000 0.006341

2 0.012682 1.000000 1.000000 0.006341

3 0.019023 1.000000 1.000000 0.006341

4 0.025364 1.000000 1.000000 0.006341

5 0.031705 1.000001 1.000001 0.006341

6 0.038046 1.000002 1.000001 0.006341

7 0.044387 1.000003 1.000003 0.006341

8 0.050728 1.000006 1.000004 0.006341

9 0.057069 1.000009 1.000007 0.006341

10 0.063410 1.000014 1.000012 0.006341

11 0.069751 1.000021 1.000017 0.006341

12 0.076092 1.000029 1.000025 0.006341

13 0.082433 1.000040 1.000035 0.006341

14 0.088774 1.000055 1.000047 0.006341

15 0.095115 1.000072 1.000063 0.006341

16 0.101456 1.000094 1.000083 0.006342

17 0.107798 1.000120 1.000107 0.006342

18 0.114139 1.000151 1.000135 0.006342

19 0.120480 1.000188 1.000170 0.006342

20 0.126821 1.000232 1.000210 0.006342

21 0.133162 1.000282 1.000257 0.006343

22 0.139503 1.000341 1.000312 0.006343

23 0.145844 1.000408 1.000374 0.006343

24 0.152185 1.000485 1.000447 0.006344

MÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOSMÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOS

0

CÁLCULO DE F(u,N)CÁLCULO DE F(u,N)

Page 174: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

25 0.158526 1.000572 1.000529 0.006344

26 0.164867 1.000671 1.000622 0.006345

27 0.171208 1.000782 1.000727 0.006346

28 0.177549 1.000906 1.000844 0.006346

29 0.183890 1.001045 1.000976 0.006347

30 0.190231 1.001199 1.001122 0.006348

31 0.196572 1.001370 1.001285 0.006349

32 0.202913 1.001558 1.001464 0.006350

33 0.209254 1.001766 1.001662 0.006352

34 0.215595 1.001994 1.001880 0.006353

35 0.221936 1.002243 1.002118 0.006354

36 0.228277 1.002515 1.002379 0.006356

37 0.234618 1.002811 1.002663 0.006358

38 0.240959 1.003133 1.002972 0.006360

39 0.247300 1.003482 1.003307 0.006362

40 0.253641 1.003860 1.003671 0.006364

41 0.259982 1.004268 1.004064 0.006367

42 0.266323 1.004708 1.004488 0.006369

43 0.272664 1.005181 1.004945 0.006372

44 0.279005 1.005690 1.005436 0.006375

45 0.285346 1.006236 1.005963 0.006379

46 0.291687 1.006821 1.006529 0.006382

47 0.298028 1.007448 1.007134 0.006386

48 0.304369 1.008116 1.007782 0.006390

49 0.310710 1.008830 1.008473 0.006395

50 0.317052 1.009591 1.009211 0.006399

51 0.323393 1.010401 1.009996 0.006404

52 0.329734 1.011262 1.010832 0.006410

53 0.336075 1.012178 1.011720 0.006415

54 0.342416 1.013149 1.012663 0.006421

55 0.348757 1.014178 1.013664 0.006428

56 0.355098 1.015269 1.014724 0.006434

57 0.361439 1.016424 1.015846 0.006442

58 0.367780 1.017645 1.017034 0.006449

59 0.374121 1.018935 1.018290 0.006457

60 0.380462 1.020297 1.019616 0.006465

61 0.386803 1.021734 1.021015 0.006474

62 0.393144 1.023249 1.022492 0.006484

63 0.399485 1.024846 1.024047 0.006494

64 0.405826 1.026527 1.025686 0.006504

65 0.412167 1.028297 1.027412 0.006515

66 0.418508 1.030158 1.029227 0.006526

Page 175: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

67 0.424849 1.032114 1.031136 0.006538

68 0.431190 1.034170 1.033142 0.006551

69 0.437531 1.036329 1.035249 0.006565

70 0.443872 1.038595 1.037462 0.006579

71 0.450213 1.040973 1.039784 0.006593

72 0.456554 1.043467 1.042220 0.006609

73 0.462895 1.046081 1.044774 0.006625

74 0.469236 1.048822 1.047452 0.006642

75 0.475577 1.051693 1.050258 0.006660

76 0.481918 1.054701 1.053197 0.006678

77 0.488259 1.057850 1.056275 0.006698

78 0.494600 1.061146 1.059498 0.006718

79 0.500941 1.064596 1.062871 0.006740

80 0.507282 1.068206 1.066401 0.006762

81 0.513623 1.071982 1.070094 0.006785

82 0.519964 1.075931 1.073957 0.006810

83 0.526306 1.080062 1.077997 0.006836

84 0.532647 1.084381 1.082221 0.006862

85 0.538988 1.088896 1.086638 0.006890

86 0.545329 1.093616 1.091256 0.006920

87 0.551670 1.098551 1.096083 0.006950

88 0.558011 1.103708 1.101130 0.006982

89 0.564352 1.109100 1.106404 0.007016

90 0.570693 1.114735 1.111917 0.007051

91 0.577034 1.120625 1.117680 0.007087

92 0.583375 1.126782 1.123703 0.007125

93 0.589716 1.133218 1.130000 0.007165

94 0.596057 1.139947 1.136583 0.007207

95 0.602398 1.146983 1.143465 0.007251

96 0.608739 1.154340 1.150661 0.007296

97 0.615080 1.162034 1.158187 0.007344

98 0.621421 1.170083 1.166059 0.007394

99 0.627762 1.178504 1.174294 0.007446

100 0.634103 1.187317 1.182911 0.007501

101 0.640444 1.196543 1.191930 0.007558

102 0.646785 1.206203 1.201373 0.007618

103 0.653126 1.216321 1.211262 0.007681

104 0.659467 1.226922 1.221621 0.007746

105 0.665808 1.238034 1.232478 0.007815

106 0.672149 1.249687 1.243861 0.007887

107 0.678490 1.261911 1.255799 0.007963

108 0.684831 1.274741 1.268326 0.008042

109 0.691172 1.288215 1.281478 0.008126

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110 0.697513 1.302371 1.295293 0.008213

111 0.703854 1.317255 1.309813 0.008306

112 0.710195 1.332912 1.325083 0.008402

113 0.716536 1.349394 1.341153 0.008504

114 0.722877 1.366758 1.358076 0.008612

115 0.729218 1.385064 1.375911 0.008725

116 0.735560 1.404381 1.394723 0.008844

117 0.741901 1.424782 1.414582 0.008970

118 0.748242 1.446348 1.435565 0.009103

119 0.754583 1.469169 1.457759 0.009244

120 0.760924 1.493344 1.481257 0.009393

121 0.767265 1.518983 1.506163 0.009551

122 0.773606 1.546208 1.532595 0.009718

123 0.779947 1.575155 1.560681 0.009896

124 0.786288 1.605977 1.590566 0.010086

125 0.792629 1.638845 1.622411 0.010288

126 0.798970 1.673951 1.656398 0.010503

127 0.805311 1.711513 1.692732 0.010734

128 0.811652 1.751778 1.731646 0.010980

129 0.817993 1.795028 1.773403 0.011245

130 0.824334 1.841584 1.818306 0.011530

131 0.830675 1.891816 1.866700 0.011837

132 0.837016 1.946153 1.918984 0.012168

133 0.843357 2.005091 1.975622 0.012527

134 0.849698 2.069211 2.037151 0.012918

135 0.856039 2.139197 2.104204 0.013343

136 0.862380 2.215857 2.177527 0.013808

137 0.868721 2.300157 2.258007 0.014318

138 0.875062 2.393258 2.346707 0.014881

139 0.881403 2.496570 2.444914 0.015503

140 0.887744 2.611822 2.554196 0.016196

141 0.894085 2.741155 2.676489 0.016972

142 0.900426 2.887258 2.814206 0.017845

143 0.906767 3.053549 2.970403 0.018835

144 0.913108 3.244445 3.148997 0.019968

145 0.919449 3.465755 3.355100 0.021275

146 0.925790 3.725270 3.595512 0.022799

147 0.932131 4.033698 3.879484 0.024600

148 0.938472 4.406156 4.219927 0.026759

149 0.944813 4.864711 4.635433 0.029393

150 0.951155 5.442889 5.153800 0.032680

151 0.957496 6.194223 5.818556 0.036896

152 0.963837 7.209792 6.702007 0.042498

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153 0.970178 8.658136 7.933964 0.050310

154 0.976519 10.889852 9.773994 0.061977

155 0.982860 14.774349 12.832101 0.081369

156 0.989201 23.222997 18.998673 0.120471

157 0.995542 55.710666 39.466831 0.250260

158 1.001883 -130.647342 -37.468338 -0.237588

159 1.008224 -29.622660 -80.135001 -0.508138

160 1.014565 -16.565102 -23.093881 -0.146439

161 1.020906 -11.429805 -13.997454 -0.088758

162 1.027247 -8.685639 -10.057722 -0.063776

163 1.033588 -6.978337 -7.831988 -0.049663

164 1.039929 -5.813909 -6.396123 -0.040558

165 1.046270 -4.969155 -5.391532 -0.034188

166 1.052611 -4.328484 -4.648820 -0.029478

167 1.058952 -3.826036 -4.077260 -0.025854

168 1.065293 -3.421537 -3.623786 -0.022979

169 1.071634 -3.088972 -3.255254 -0.020642

170 1.077975 -2.810788 -2.949880 -0.018705

171 1.084316 -2.574715 -2.692752 -0.017075

172 1.090657 -2.371912 -2.473313 -0.015683

173 1.096998 -2.195853 -2.283883 -0.014482

174 1.103339 -2.041612 -2.118733 -0.013435

175 1.109680 -1.905404 -1.973508 -0.012514

176 1.116021 -1.784269 -1.844836 -0.011698

177 1.122362 -1.675862 -1.730065 -0.010970

178 1.128703 -1.578301 -1.627081 -0.010317

179 1.135044 -1.490055 -1.534178 -0.009728

180 1.141385 -1.409870 -1.449963 -0.009194

181 1.147726 -1.336707 -1.373289 -0.008708

182 1.154067 -1.269697 -1.303202 -0.008264

183 1.160409 -1.208108 -1.238903 -0.007856

184 1.166750 -1.151322 -1.179715 -0.007481

185 1.173091 -1.098809 -1.125066 -0.007134

186 1.179432 -1.050115 -1.074462 -0.006813

187 1.185773 -1.004848 -1.027482 -0.006515

188 1.192114 -0.962668 -0.983758 -0.006238

189 1.198455 -0.923276 -0.942972 -0.005979

190 1.204796 -0.886414 -0.904845 -0.005738

191 1.211137 -0.851853 -0.869134 -0.005511

192 1.217478 -0.819390 -0.835622 -0.005299

193 1.223819 -0.788846 -0.804118 -0.005099

194 1.230160 -0.760062 -0.774454 -0.004911

195 1.236501 -0.732895 -0.746479 -0.004733

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196 1.242842 -0.707218 -0.720057 -0.004566

197 1.249183 -0.682917 -0.695068 -0.004407

198 1.255524 -0.659887 -0.671402 -0.004257

199 1.261865 -0.638037 -0.648962 -0.004115

200 1.268206 -0.617281 -0.627659 -0.003980

INTEGRAL = 0.41007

Page 179: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.2396

N 4.0537

RESULTADO

F(u,N) 1.4180

CALCULOSxo 0 N tramos= 200

xn 1.23959 0.006198

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006198 1.000000 1.000000 0.006198

2 0.012396 1.000000 1.000000 0.006198

3 0.018594 1.000000 1.000000 0.006198

4 0.024792 1.000000 1.000000 0.006198

5 0.030990 1.000001 1.000001 0.006198

6 0.037188 1.000002 1.000001 0.006198

7 0.043386 1.000003 1.000002 0.006198

8 0.049584 1.000005 1.000004 0.006198

9 0.055782 1.000008 1.000007 0.006198

10 0.061979 1.000013 1.000011 0.006198

11 0.068177 1.000019 1.000016 0.006198

12 0.074375 1.000027 1.000023 0.006198

13 0.080573 1.000037 1.000032 0.006198

14 0.086771 1.000050 1.000043 0.006198

15 0.092969 1.000066 1.000058 0.006198

16 0.099167 1.000085 1.000076 0.006198

17 0.105365 1.000109 1.000097 0.006199

18 0.111563 1.000138 1.000123 0.006199

19 0.117761 1.000171 1.000155 0.006199

20 0.123959 1.000211 1.000191 0.006199

21 0.130157 1.000257 1.000234 0.006199

22 0.136355 1.000311 1.000284 0.006200

23 0.142553 1.000372 1.000341 0.006200

24 0.148751 1.000442 1.000407 0.006200

MÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOSMÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOS

1

CÁLCULO DE F(u,N)CÁLCULO DE F(u,N)

Page 180: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

25 0.154949 1.000522 1.000482 0.006201

26 0.161147 1.000612 1.000567 0.006201

27 0.167345 1.000713 1.000662 0.006202

28 0.173543 1.000826 1.000770 0.006203

29 0.179740 1.000953 1.000889 0.006203

30 0.185938 1.001093 1.001023 0.006204

31 0.192136 1.001249 1.001171 0.006205

32 0.198334 1.001421 1.001335 0.006206

33 0.204532 1.001610 1.001515 0.006207

34 0.210730 1.001817 1.001713 0.006209

35 0.216928 1.002044 1.001931 0.006210

36 0.223126 1.002292 1.002168 0.006211

37 0.229324 1.002562 1.002427 0.006213

38 0.235522 1.002855 1.002709 0.006215

39 0.241720 1.003173 1.003014 0.006217

40 0.247918 1.003517 1.003345 0.006219

41 0.254116 1.003889 1.003703 0.006221

42 0.260314 1.004290 1.004090 0.006223

43 0.266512 1.004721 1.004506 0.006226

44 0.272710 1.005185 1.004953 0.006229

45 0.278908 1.005682 1.005433 0.006232

46 0.285106 1.006215 1.005949 0.006235

47 0.291304 1.006785 1.006500 0.006238

48 0.297501 1.007394 1.007089 0.006242

49 0.303699 1.008044 1.007719 0.006246

50 0.309897 1.008736 1.008390 0.006250

51 0.316095 1.009473 1.009105 0.006254

52 0.322293 1.010257 1.009865 0.006259

53 0.328491 1.011090 1.010673 0.006264

54 0.334689 1.011973 1.011531 0.006269

55 0.340887 1.012909 1.012441 0.006275

56 0.347085 1.013901 1.013405 0.006281

57 0.353283 1.014951 1.014426 0.006287

58 0.359481 1.016060 1.015506 0.006294

59 0.365679 1.017233 1.016646 0.006301

60 0.371877 1.018470 1.017851 0.006309

61 0.378075 1.019775 1.019123 0.006316

62 0.384273 1.021151 1.020463 0.006325

63 0.390471 1.022601 1.021876 0.006334

64 0.396669 1.024126 1.023364 0.006343

65 0.402867 1.025732 1.024929 0.006352

66 0.409065 1.027420 1.026576 0.006363

Page 181: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

67 0.415262 1.029193 1.028306 0.006373

68 0.421460 1.031056 1.030125 0.006385

69 0.427658 1.033012 1.032034 0.006396

70 0.433856 1.035065 1.034039 0.006409

71 0.440054 1.037217 1.036141 0.006422

72 0.446252 1.039474 1.038346 0.006436

73 0.452450 1.041839 1.040656 0.006450

74 0.458648 1.044317 1.043078 0.006465

75 0.464846 1.046911 1.045614 0.006481

76 0.471044 1.049627 1.048269 0.006497

77 0.477242 1.052469 1.051048 0.006514

78 0.483440 1.055443 1.053956 0.006532

79 0.489638 1.058554 1.056998 0.006551

80 0.495836 1.061806 1.060180 0.006571

81 0.502034 1.065206 1.063506 0.006592

82 0.508232 1.068760 1.066983 0.006613

83 0.514430 1.072474 1.070617 0.006636

84 0.520628 1.076355 1.074414 0.006659

85 0.526826 1.080409 1.078382 0.006684

86 0.533023 1.084643 1.082526 0.006709

87 0.539221 1.089066 1.086855 0.006736

88 0.545419 1.093685 1.091376 0.006764

89 0.551617 1.098509 1.096097 0.006794

90 0.557815 1.103546 1.101028 0.006824

91 0.564013 1.108806 1.106176 0.006856

92 0.570211 1.114298 1.111552 0.006889

93 0.576409 1.120033 1.117166 0.006924

94 0.582607 1.126022 1.123027 0.006960

95 0.588805 1.132276 1.129149 0.006998

96 0.595003 1.138808 1.135542 0.007038

97 0.601201 1.145630 1.142219 0.007079

98 0.607399 1.152757 1.149194 0.007123

99 0.613597 1.160203 1.156480 0.007168

100 0.619795 1.167984 1.164094 0.007215

101 0.625993 1.176116 1.172050 0.007264

102 0.632191 1.184617 1.180367 0.007316

103 0.638389 1.193506 1.189062 0.007370

104 0.644587 1.202803 1.198154 0.007426

105 0.650784 1.212529 1.207666 0.007485

106 0.656982 1.222709 1.217619 0.007547

107 0.663180 1.233366 1.228037 0.007611

108 0.669378 1.244527 1.238946 0.007679

109 0.675576 1.256220 1.250373 0.007750

Page 182: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

110 0.681774 1.268478 1.262349 0.007824

111 0.687972 1.281332 1.274905 0.007902

112 0.694170 1.294820 1.288076 0.007983

113 0.700368 1.308979 1.301899 0.008069

114 0.706566 1.323852 1.316416 0.008159

115 0.712764 1.339486 1.331669 0.008254

116 0.718962 1.355928 1.347707 0.008353

117 0.725160 1.373235 1.364582 0.008458

118 0.731358 1.391465 1.382350 0.008568

119 0.737556 1.410683 1.401074 0.008684

120 0.743754 1.430961 1.420822 0.008806

121 0.749952 1.452375 1.441668 0.008935

122 0.756150 1.475013 1.463694 0.009072

123 0.762348 1.498970 1.486992 0.009216

124 0.768545 1.524350 1.511660 0.009369

125 0.774743 1.551271 1.537810 0.009531

126 0.780941 1.579862 1.565566 0.009703

127 0.787139 1.610268 1.595065 0.009886

128 0.793337 1.642652 1.626460 0.010081

129 0.799535 1.677197 1.659925 0.010288

130 0.805733 1.714108 1.695652 0.010510

131 0.811931 1.753618 1.733863 0.010746

132 0.818129 1.795992 1.774805 0.011000

133 0.824327 1.841531 1.818761 0.011273

134 0.830525 1.890582 1.866057 0.011566

135 0.836723 1.943544 1.917063 0.011882

136 0.842921 2.000878 1.972211 0.012224

137 0.849119 2.063121 2.032000 0.012594

138 0.855317 2.130904 2.097013 0.012997

139 0.861515 2.204968 2.167936 0.013437

140 0.867713 2.286193 2.245580 0.013918

141 0.873911 2.375636 2.330915 0.014447

142 0.880109 2.474569 2.425102 0.015031

143 0.886306 2.584540 2.529554 0.015678

144 0.892504 2.707459 2.646000 0.016400

145 0.898702 2.845698 2.776579 0.017209

146 0.904900 3.002252 2.923975 0.018123

147 0.911098 3.180949 3.091601 0.019162

148 0.917296 3.386763 3.283856 0.020353

149 0.923494 3.626282 3.506523 0.021733

150 0.929692 3.908418 3.767350 0.023350

151 0.935890 4.245526 4.076972 0.025269

152 0.942088 4.655253 4.450389 0.027583

Page 183: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

153 0.948286 5.163703 4.909478 0.030429

154 0.954484 5.811204 5.487454 0.034011

155 0.960682 6.663505 6.237354 0.038659

156 0.966880 7.835576 7.249540 0.044932

157 0.973078 9.548259 8.691917 0.053872

158 0.979276 12.286578 10.917418 0.067666

159 0.985474 17.363341 14.824960 0.091884

160 0.991672 29.999292 23.681317 0.146776

161 0.997870 116.168278 73.083785 0.452969

162 1.004067 -60.273018 27.947630 0.173218

163 1.010265 -23.657406 -41.965212 -0.260098

164 1.016463 -14.612499 -19.134953 -0.118597

165 1.022661 -10.516263 -12.564381 -0.077873

166 1.028859 -8.180294 -9.348278 -0.057940

167 1.035057 -6.670966 -7.425630 -0.046024

168 1.041255 -5.615704 -6.143335 -0.038076

169 1.047453 -4.836584 -5.226144 -0.032391

170 1.053651 -4.237899 -4.537242 -0.028122

171 1.059849 -3.763589 -4.000744 -0.024796

172 1.066047 -3.378634 -3.571112 -0.022134

173 1.072245 -3.060036 -3.219335 -0.019953

174 1.078443 -2.792061 -2.926049 -0.018135

175 1.084641 -2.563587 -2.677824 -0.016597

176 1.090839 -2.366526 -2.465056 -0.015278

177 1.097037 -2.194856 -2.280691 -0.014136

178 1.103235 -2.044001 -2.119428 -0.013136

179 1.109433 -1.910424 -1.977213 -0.012255

180 1.115631 -1.791344 -1.850884 -0.011472

181 1.121828 -1.684547 -1.737946 -0.010772

182 1.128026 -1.588247 -1.636397 -0.010142

183 1.134224 -1.500989 -1.544618 -0.009573

184 1.140422 -1.421573 -1.461281 -0.009057

185 1.146620 -1.349004 -1.385289 -0.008586

186 1.152818 -1.282448 -1.315726 -0.008155

187 1.159016 -1.221200 -1.251824 -0.007759

188 1.165214 -1.164662 -1.192931 -0.007394

189 1.171412 -1.112321 -1.138491 -0.007056

190 1.177610 -1.063737 -1.088029 -0.006744

191 1.183808 -1.018529 -1.041133 -0.006453

192 1.190006 -0.976365 -0.997447 -0.006182

193 1.196204 -0.936956 -0.956661 -0.005929

194 1.202402 -0.900049 -0.918503 -0.005693

195 1.208600 -0.865418 -0.882734 -0.005471

Page 184: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

196 1.214798 -0.832867 -0.849143 -0.005263

197 1.220996 -0.802219 -0.817543 -0.005067

198 1.227194 -0.773317 -0.787768 -0.004883

199 1.233392 -0.746023 -0.759670 -0.004708

200 1.239590 -0.720210 -0.733116 -0.004544

INTEGRAL = 1.41805

Page 185: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.2110

N 4.0537

RESULTADO

F(u,N) 2.4739

CALCULOSxo 0 N tramos= 200xn 1.21097 0.006055C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006055 1.000000 1.000000 0.006055

2 0.012110 1.000000 1.000000 0.006055

3 0.018165 1.000000 1.000000 0.006055

4 0.024219 1.000000 1.000000 0.006055

5 0.030274 1.000001 1.000000 0.006055

6 0.036329 1.000001 1.000001 0.006055

7 0.042384 1.000003 1.000002 0.006055

8 0.048439 1.000005 1.000004 0.006055

9 0.054494 1.000008 1.000006 0.006055

10 0.060549 1.000012 1.000010 0.006055

11 0.066604 1.000017 1.000014 0.006055

12 0.072658 1.000024 1.000021 0.006055

13 0.078713 1.000033 1.000029 0.006055

14 0.084768 1.000045 1.000039 0.006055

15 0.090823 1.000060 1.000053 0.006055

16 0.096878 1.000078 1.000069 0.006055

17 0.102933 1.000099 1.000089 0.006055

18 0.108988 1.000125 1.000112 0.006056

19 0.115042 1.000156 1.000141 0.006056

20 0.121097 1.000192 1.000174 0.006056

21 0.127152 1.000234 1.000213 0.006056

22 0.133207 1.000283 1.000258 0.006056

23 0.139262 1.000338 1.000311 0.006057

24 0.145317 1.000402 1.000370 0.006057

25 0.151372 1.000475 1.000438 0.006058

26 0.157426 1.000556 1.000516 0.006058

27 0.163481 1.000648 1.000602 0.006059

28 0.169536 1.000752 1.000700 0.006059

29 0.175591 1.000867 1.000809 0.006060

2

Page 186: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.181646 1.000994 1.000930 0.006060

31 0.187701 1.001136 1.001065 0.006061

32 0.193756 1.001292 1.001214 0.006062

33 0.199811 1.001464 1.001378 0.006063

34 0.205865 1.001653 1.001558 0.006064

35 0.211920 1.001859 1.001756 0.006065

36 0.217975 1.002084 1.001972 0.006067

37 0.224030 1.002330 1.002207 0.006068

38 0.230085 1.002597 1.002463 0.006070

39 0.236140 1.002886 1.002741 0.006071

40 0.242195 1.003199 1.003042 0.006073

41 0.248249 1.003537 1.003368 0.006075

42 0.254304 1.003901 1.003719 0.006077

43 0.260359 1.004293 1.004097 0.006080

44 0.266414 1.004714 1.004504 0.006082

45 0.272469 1.005166 1.004940 0.006085

46 0.278524 1.005650 1.005408 0.006088

47 0.284579 1.006168 1.005909 0.006091

48 0.290634 1.006721 1.006445 0.006094

49 0.296688 1.007312 1.007017 0.006097

50 0.302743 1.007941 1.007626 0.006101

51 0.308798 1.008610 1.008275 0.006105

52 0.314853 1.009322 1.008966 0.006109

53 0.320908 1.010078 1.009700 0.006114

54 0.326963 1.010880 1.010479 0.006118

55 0.333018 1.011730 1.011305 0.006123

56 0.339072 1.012630 1.012180 0.006129

57 0.345127 1.013582 1.013106 0.006134

58 0.351182 1.014588 1.014085 0.006140

59 0.357237 1.015651 1.015120 0.006146

60 0.363292 1.016774 1.016213 0.006153

61 0.369347 1.017957 1.017365 0.006160

62 0.375402 1.019204 1.018580 0.006167

63 0.381456 1.020517 1.019860 0.006175

64 0.387511 1.021899 1.021208 0.006183

65 0.393566 1.023353 1.022626 0.006192

66 0.399621 1.024881 1.024117 0.006201

67 0.405676 1.026486 1.025684 0.006210

68 0.411731 1.028172 1.027329 0.006220

69 0.417786 1.029941 1.029056 0.006231

70 0.423841 1.031796 1.030869 0.006242

71 0.429895 1.033742 1.032769 0.006253

Page 187: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.435950 1.035780 1.034761 0.006265

73 0.442005 1.037916 1.036848 0.006278

74 0.448060 1.040152 1.039034 0.006291

75 0.454115 1.042493 1.041323 0.006305

76 0.460170 1.044942 1.043718 0.006320

77 0.466225 1.047504 1.046223 0.006335

78 0.472279 1.050183 1.048844 0.006351

79 0.478334 1.052984 1.051584 0.006367

80 0.484389 1.055911 1.054447 0.006385

81 0.490444 1.058968 1.057439 0.006403

82 0.496499 1.062163 1.060566 0.006422

83 0.502554 1.065498 1.063831 0.006441

84 0.508609 1.068981 1.067240 0.006462

85 0.514664 1.072618 1.070800 0.006484

86 0.520718 1.076413 1.074515 0.006506

87 0.526773 1.080374 1.078393 0.006530

88 0.532828 1.084507 1.082440 0.006554

89 0.538883 1.088820 1.086663 0.006580

90 0.544938 1.093319 1.091070 0.006606

91 0.550993 1.098013 1.095666 0.006634

92 0.557048 1.102910 1.100462 0.006663

93 0.563102 1.108019 1.105464 0.006693

94 0.569157 1.113347 1.110683 0.006725

95 0.575212 1.118906 1.116127 0.006758

96 0.581267 1.124705 1.121806 0.006792

97 0.587322 1.130755 1.127730 0.006828

98 0.593377 1.137067 1.133911 0.006866

99 0.599432 1.143652 1.140359 0.006905

100 0.605486 1.150525 1.147089 0.006945

101 0.611541 1.157698 1.154111 0.006988

102 0.617596 1.165185 1.161441 0.007032

103 0.623651 1.173001 1.169093 0.007079

104 0.629706 1.181164 1.177083 0.007127

105 0.635761 1.189689 1.185426 0.007178

106 0.641816 1.198595 1.194142 0.007230

107 0.647871 1.207902 1.203248 0.007286

108 0.653925 1.217630 1.212766 0.007343

109 0.659980 1.227802 1.222716 0.007403

110 0.666035 1.238442 1.233122 0.007466

111 0.672090 1.249575 1.244009 0.007532

112 0.678145 1.261230 1.255403 0.007601

113 0.684200 1.273435 1.267333 0.007674

114 0.690255 1.286224 1.279829 0.007749

Page 188: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.696309 1.299629 1.292926 0.007828

116 0.702364 1.313689 1.306659 0.007912

117 0.708419 1.328445 1.321067 0.007999

118 0.714474 1.343939 1.336192 0.008090

119 0.720529 1.360220 1.352080 0.008187

120 0.726584 1.377339 1.368780 0.008288

121 0.732639 1.395353 1.386346 0.008394

122 0.738694 1.414324 1.404839 0.008506

123 0.744748 1.434318 1.424321 0.008624

124 0.750803 1.455411 1.444865 0.008748

125 0.756858 1.477683 1.466547 0.008880

126 0.762913 1.501224 1.489454 0.009018

127 0.768968 1.526134 1.513679 0.009165

128 0.775023 1.552522 1.539328 0.009320

129 0.781078 1.580510 1.566516 0.009485

130 0.787132 1.610233 1.595371 0.009660

131 0.793187 1.641844 1.626038 0.009845

132 0.799242 1.675512 1.658678 0.010043

133 0.805297 1.711428 1.693470 0.010254

134 0.811352 1.749808 1.730618 0.010479

135 0.817407 1.790896 1.770352 0.010719

136 0.823462 1.834970 1.812933 0.010977

137 0.829516 1.882346 1.858658 0.011254

138 0.835571 1.933388 1.907867 0.011552

139 0.841626 1.988515 1.960952 0.011873

140 0.847681 2.048214 2.018365 0.012221

141 0.853736 2.113051 2.080632 0.012598

142 0.859791 2.183689 2.148370 0.013008

143 0.865846 2.260913 2.222301 0.013456

144 0.871901 2.345656 2.303285 0.013946

145 0.877955 2.439034 2.392345 0.014485

146 0.884010 2.542398 2.490716 0.015081

147 0.890065 2.657397 2.599898 0.015742

148 0.896120 2.786063 2.721730 0.016480

149 0.902175 2.930931 2.858497 0.017308

150 0.908230 3.095206 3.013068 0.018244

151 0.914285 3.282998 3.189102 0.019310

152 0.920339 3.499668 3.391333 0.020534

153 0.926394 3.752338 3.626003 0.021955

154 0.932449 4.050687 3.901513 0.023623

155 0.938504 4.408204 4.229446 0.025609

156 0.944559 4.844269 4.626236 0.028011

157 0.950614 5.387770 5.116020 0.030977

Page 189: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.956669 6.083739 5.735755 0.034729

159 0.962724 7.006467 6.545103 0.039630

160 0.968778 8.287875 7.647171 0.046303

161 0.974833 10.186837 9.237356 0.055931

162 0.980888 13.290288 11.738562 0.071075

163 0.986943 19.273862 16.282075 0.098586

164 0.992998 35.608966 27.441414 0.166154

165 0.999053 260.785969 148.197467 0.897316

166 1.005108 -47.923385 106.431292 0.644427

167 1.011162 -21.726640 -34.825013 -0.210861

168 1.017217 -13.956627 -17.841634 -0.108029

169 1.023272 -10.230736 -12.093682 -0.073226

170 1.029327 -8.044108 -9.137422 -0.055326

171 1.035382 -6.606499 -7.325304 -0.044354

172 1.041437 -5.589558 -6.098029 -0.036923

173 1.047492 -4.832383 -5.210971 -0.031552

174 1.053546 -4.246850 -4.539616 -0.027487

175 1.059601 -3.780643 -4.013747 -0.024303

176 1.065656 -3.400748 -3.590696 -0.021741

177 1.071711 -3.085298 -3.243023 -0.019636

178 1.077766 -2.819238 -2.952268 -0.017876

179 1.083821 -2.591861 -2.705549 -0.016382

180 1.089876 -2.395348 -2.493604 -0.015098

181 1.095931 -2.223852 -2.309600 -0.013984

182 1.101985 -2.072916 -2.148384 -0.013008

183 1.108040 -1.939080 -2.005998 -0.012146

184 1.114095 -1.819622 -1.879351 -0.011379

185 1.120150 -1.712365 -1.765993 -0.010693

186 1.126205 -1.615552 -1.663958 -0.010075

187 1.132260 -1.527747 -1.571649 -0.009516

188 1.138315 -1.447766 -1.487756 -0.009008

189 1.144369 -1.374622 -1.411194 -0.008545

190 1.150424 -1.307490 -1.341056 -0.008120

191 1.156479 -1.245670 -1.276580 -0.007730

192 1.162534 -1.188567 -1.217118 -0.007369

193 1.168589 -1.135671 -1.162119 -0.007036

194 1.174644 -1.086545 -1.111108 -0.006728

195 1.180699 -1.040808 -1.063677 -0.006440

196 1.186754 -0.998130 -1.019469 -0.006173

197 1.192808 -0.958221 -0.978175 -0.005923

198 1.198863 -0.920828 -0.939524 -0.005689

199 1.204918 -0.885726 -0.903277 -0.005469

200 1.210973 -0.852719 -0.869223 -0.005263

Page 190: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 2.47386

Page 191: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.1824

N 4.0537

RESULTADO

F(u,N) 2.5309

CALCULOSxo 0 N tramos= 200xn 1.18236 0.005912C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005912 1.000000 1.000000 0.005912

2 0.011824 1.000000 1.000000 0.005912

3 0.017735 1.000000 1.000000 0.005912

4 0.023647 1.000000 1.000000 0.005912

5 0.029559 1.000001 1.000000 0.005912

6 0.035471 1.000001 1.000001 0.005912

7 0.041382 1.000002 1.000002 0.005912

8 0.047294 1.000004 1.000003 0.005912

9 0.053206 1.000007 1.000006 0.005912

10 0.059118 1.000010 1.000009 0.005912

11 0.065030 1.000015 1.000013 0.005912

12 0.070941 1.000022 1.000019 0.005912

13 0.076853 1.000030 1.000026 0.005912

14 0.082765 1.000041 1.000036 0.005912

15 0.088677 1.000054 1.000048 0.005912

16 0.094589 1.000071 1.000062 0.005912

17 0.100500 1.000090 1.000080 0.005912

18 0.106412 1.000114 1.000102 0.005912

19 0.112324 1.000142 1.000128 0.005913

20 0.118236 1.000174 1.000158 0.005913

21 0.124147 1.000212 1.000193 0.005913

22 0.130059 1.000257 1.000234 0.005913

23 0.135971 1.000307 1.000282 0.005913

24 0.141883 1.000365 1.000336 0.005914

25 0.147795 1.000431 1.000398 0.005914

26 0.153706 1.000505 1.000468 0.005915

27 0.159618 1.000589 1.000547 0.005915

28 0.165530 1.000682 1.000635 0.005916

29 0.171442 1.000786 1.000734 0.005916

3

Page 192: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.177353 1.000902 1.000844 0.005917

31 0.183265 1.001031 1.000967 0.005917

32 0.189177 1.001173 1.001102 0.005918

33 0.195089 1.001329 1.001251 0.005919

34 0.201001 1.001500 1.001414 0.005920

35 0.206912 1.001687 1.001593 0.005921

36 0.212824 1.001891 1.001789 0.005922

37 0.218736 1.002114 1.002003 0.005924

38 0.224648 1.002356 1.002235 0.005925

39 0.230560 1.002618 1.002487 0.005926

40 0.236471 1.002902 1.002760 0.005928

41 0.242383 1.003209 1.003055 0.005930

42 0.248295 1.003539 1.003374 0.005932

43 0.254207 1.003895 1.003717 0.005934

44 0.260118 1.004277 1.004086 0.005936

45 0.266030 1.004687 1.004482 0.005938

46 0.271942 1.005126 1.004906 0.005941

47 0.277854 1.005595 1.005360 0.005943

48 0.283766 1.006097 1.005846 0.005946

49 0.289677 1.006632 1.006364 0.005949

50 0.295589 1.007202 1.006917 0.005953

51 0.301501 1.007808 1.007505 0.005956

52 0.307413 1.008453 1.008131 0.005960

53 0.313324 1.009138 1.008796 0.005964

54 0.319236 1.009864 1.009501 0.005968

55 0.325148 1.010634 1.010249 0.005972

56 0.331060 1.011449 1.011042 0.005977

57 0.336972 1.012311 1.011880 0.005982

58 0.342883 1.013223 1.012767 0.005987

59 0.348795 1.014185 1.013704 0.005993

60 0.354707 1.015200 1.014693 0.005999

61 0.360619 1.016271 1.015735 0.006005

62 0.366530 1.017399 1.016835 0.006011

63 0.372442 1.018586 1.017992 0.006018

64 0.378354 1.019836 1.019211 0.006025

65 0.384266 1.021150 1.020493 0.006033

66 0.390178 1.022530 1.021840 0.006041

67 0.396089 1.023981 1.023255 0.006049

68 0.402001 1.025503 1.024742 0.006058

69 0.407913 1.027100 1.026301 0.006067

70 0.413825 1.028774 1.027937 0.006077

71 0.419737 1.030529 1.029652 0.006087

Page 193: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.425648 1.032368 1.031448 0.006098

73 0.431560 1.034293 1.033330 0.006109

74 0.437472 1.036308 1.035300 0.006120

75 0.443384 1.038416 1.037362 0.006133

76 0.449295 1.040621 1.039519 0.006145

77 0.455207 1.042927 1.041774 0.006159

78 0.461119 1.045337 1.044132 0.006173

79 0.467031 1.047854 1.046595 0.006187

80 0.472943 1.050484 1.049169 0.006202

81 0.478854 1.053230 1.051857 0.006218

82 0.484766 1.056097 1.054664 0.006235

83 0.490678 1.059089 1.057593 0.006252

84 0.496590 1.062212 1.060650 0.006270

85 0.502501 1.065469 1.063840 0.006289

86 0.508413 1.068867 1.067168 0.006309

87 0.514325 1.072410 1.070638 0.006329

88 0.520237 1.076105 1.074258 0.006351

89 0.526149 1.079957 1.078031 0.006373

90 0.532060 1.083973 1.081965 0.006396

91 0.537972 1.088159 1.086066 0.006421

92 0.543884 1.092522 1.090341 0.006446

93 0.549796 1.097070 1.094796 0.006472

94 0.555708 1.101809 1.099439 0.006500

95 0.561619 1.106747 1.104278 0.006528

96 0.567531 1.111894 1.109321 0.006558

97 0.573443 1.117257 1.114576 0.006589

98 0.579355 1.122847 1.120052 0.006622

99 0.585266 1.128672 1.125760 0.006655

100 0.591178 1.134744 1.131708 0.006690

101 0.597090 1.141072 1.137908 0.006727

102 0.603002 1.147669 1.144371 0.006765

103 0.608914 1.154547 1.151108 0.006805

104 0.614825 1.161719 1.158133 0.006847

105 0.620737 1.169197 1.165458 0.006890

106 0.626649 1.176998 1.173098 0.006935

107 0.632561 1.185137 1.181068 0.006982

108 0.638472 1.193629 1.189383 0.007031

109 0.644384 1.202493 1.198061 0.007083

110 0.650296 1.211747 1.207120 0.007136

111 0.656208 1.221411 1.216579 0.007192

112 0.662120 1.231507 1.226459 0.007251

113 0.668031 1.242057 1.236782 0.007312

114 0.673943 1.253086 1.247571 0.007375

Page 194: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.679855 1.264620 1.258853 0.007442

116 0.685767 1.276688 1.270654 0.007512

117 0.691679 1.289319 1.283003 0.007585

118 0.697590 1.302548 1.295933 0.007661

119 0.703502 1.316408 1.309478 0.007741

120 0.709414 1.330938 1.323673 0.007825

121 0.715326 1.346180 1.338559 0.007913

122 0.721237 1.362179 1.354180 0.008006

123 0.727149 1.378983 1.370581 0.008103

124 0.733061 1.396645 1.387814 0.008204

125 0.738973 1.415223 1.405934 0.008312

126 0.744885 1.434780 1.425002 0.008424

127 0.750796 1.455386 1.445083 0.008543

128 0.756708 1.477117 1.466251 0.008668

129 0.762620 1.500054 1.488585 0.008800

130 0.768532 1.524292 1.512173 0.008940

131 0.774443 1.549930 1.537111 0.009087

132 0.780355 1.577082 1.563506 0.009243

133 0.786267 1.605873 1.591478 0.009408

134 0.792179 1.636441 1.621157 0.009584

135 0.798091 1.668942 1.652691 0.009770

136 0.804002 1.703549 1.686245 0.009969

137 0.809914 1.740459 1.722004 0.010180

138 0.815826 1.779893 1.760176 0.010406

139 0.821738 1.822100 1.800996 0.010647

140 0.827649 1.867365 1.844732 0.010906

141 0.833561 1.916012 1.891688 0.011183

142 0.839473 1.968415 1.942213 0.011482

143 0.845385 2.025002 1.996708 0.011804

144 0.851297 2.086272 2.055637 0.012152

145 0.857208 2.152805 2.119538 0.012530

146 0.863120 2.225281 2.189043 0.012941

147 0.869032 2.304505 2.264893 0.013390

148 0.874944 2.391431 2.347968 0.013881

149 0.880856 2.487203 2.439317 0.014421

150 0.886767 2.593208 2.540206 0.015017

151 0.892679 2.711132 2.652170 0.015679

152 0.898591 2.843060 2.777096 0.016418

153 0.904503 2.991589 2.917324 0.017247

154 0.910414 3.160004 3.075796 0.018183

155 0.916326 3.352518 3.256261 0.019250

156 0.922238 3.574624 3.463571 0.020476

157 0.928150 3.833625 3.704125 0.021898

Page 195: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.934062 4.139441 3.986533 0.023568

159 0.939973 4.505900 4.322670 0.025555

160 0.945885 4.952873 4.729386 0.027959

161 0.951797 5.509980 5.231427 0.030927

162 0.957709 6.223403 5.866692 0.034683

163 0.963620 7.169341 6.696372 0.039587

164 0.969532 8.483136 7.826239 0.046267

165 0.975444 10.430460 9.456798 0.055907

166 0.981356 13.613951 12.022206 0.071073

167 0.987268 19.755491 16.684721 0.098636

168 0.993179 36.546746 28.151119 0.166423

169 0.999091 271.813048 154.179897 0.911478

170 1.005003 -48.933142 111.439953 0.658809

171 1.010915 -22.228058 -35.580600 -0.210345

172 1.016827 -14.289243 -18.258650 -0.107941

173 1.022738 -10.479438 -12.384341 -0.073214

174 1.028650 -8.242644 -9.361041 -0.055340

175 1.034562 -6.771668 -7.507156 -0.044381

176 1.040474 -5.730928 -6.251298 -0.036956

177 1.046385 -4.955920 -5.343424 -0.031589

178 1.052297 -4.356524 -4.656222 -0.027527

179 1.058209 -3.879230 -4.117877 -0.024344

180 1.064121 -3.490263 -3.684746 -0.021783

181 1.070033 -3.167252 -3.328757 -0.019679

182 1.075944 -2.894791 -3.031021 -0.017919

183 1.081856 -2.661926 -2.778358 -0.016425

184 1.087768 -2.460653 -2.561290 -0.015142

185 1.093680 -2.284990 -2.372822 -0.014028

186 1.099591 -2.130374 -2.207682 -0.013051

187 1.105503 -1.993265 -2.061820 -0.012189

188 1.111415 -1.870875 -1.932070 -0.011422

189 1.117327 -1.760977 -1.815926 -0.010735

190 1.123239 -1.661772 -1.711375 -0.010117

191 1.129150 -1.571790 -1.616781 -0.009558

192 1.135062 -1.489820 -1.530805 -0.009050

193 1.140974 -1.414850 -1.452335 -0.008586

194 1.146886 -1.346036 -1.380443 -0.008161

195 1.152798 -1.282662 -1.314349 -0.007770

196 1.158709 -1.224118 -1.253390 -0.007410

197 1.164621 -1.169883 -1.197000 -0.007076

198 1.170533 -1.119508 -1.144695 -0.006767

199 1.176445 -1.072603 -1.096055 -0.006480

200 1.182356 -1.028832 -1.050718 -0.006212

Page 196: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 2.53091

Page 197: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.1537

N 4.0537

RESULTADO

F(u,N) 1.4828

CALCULOSxo 0 N tramos= 200xn 1.15374 0.005769C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005769 1.000000 1.000000 0.005769

2 0.011537 1.000000 1.000000 0.005769

3 0.017306 1.000000 1.000000 0.005769

4 0.023075 1.000000 1.000000 0.005769

5 0.028843 1.000001 1.000000 0.005769

6 0.034612 1.000001 1.000001 0.005769

7 0.040381 1.000002 1.000002 0.005769

8 0.046150 1.000004 1.000003 0.005769

9 0.051918 1.000006 1.000005 0.005769

10 0.057687 1.000010 1.000008 0.005769

11 0.063456 1.000014 1.000012 0.005769

12 0.069224 1.000020 1.000017 0.005769

13 0.074993 1.000028 1.000024 0.005769

14 0.080762 1.000037 1.000032 0.005769

15 0.086530 1.000049 1.000043 0.005769

16 0.092299 1.000064 1.000057 0.005769

17 0.098068 1.000082 1.000073 0.005769

18 0.103837 1.000103 1.000092 0.005769

19 0.109605 1.000128 1.000116 0.005769

20 0.115374 1.000158 1.000143 0.005770

21 0.121143 1.000192 1.000175 0.005770

22 0.126911 1.000232 1.000212 0.005770

23 0.132680 1.000278 1.000255 0.005770

24 0.138449 1.000330 1.000304 0.005770

25 0.144217 1.000390 1.000360 0.005771

26 0.149986 1.000457 1.000424 0.005771

27 0.155755 1.000533 1.000495 0.005772

28 0.161524 1.000618 1.000575 0.005772

29 0.167292 1.000712 1.000665 0.005773

4

Page 198: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.173061 1.000817 1.000765 0.005773

31 0.178830 1.000933 1.000875 0.005774

32 0.184598 1.001062 1.000997 0.005774

33 0.190367 1.001203 1.001132 0.005775

34 0.196136 1.001358 1.001280 0.005776

35 0.201904 1.001527 1.001443 0.005777

36 0.207673 1.001712 1.001620 0.005778

37 0.213442 1.001914 1.001813 0.005779

38 0.219211 1.002133 1.002023 0.005780

39 0.224979 1.002370 1.002252 0.005782

40 0.230748 1.002627 1.002499 0.005783

41 0.236517 1.002904 1.002766 0.005785

42 0.242285 1.003203 1.003054 0.005786

43 0.248054 1.003525 1.003364 0.005788

44 0.253823 1.003871 1.003698 0.005790

45 0.259591 1.004242 1.004056 0.005792

46 0.265360 1.004639 1.004440 0.005794

47 0.271129 1.005063 1.004851 0.005797

48 0.276898 1.005517 1.005290 0.005799

49 0.282666 1.006001 1.005759 0.005802

50 0.288435 1.006516 1.006259 0.005805

51 0.294204 1.007065 1.006791 0.005808

52 0.299972 1.007648 1.007356 0.005811

53 0.305741 1.008267 1.007957 0.005815

54 0.311510 1.008923 1.008595 0.005818

55 0.317278 1.009619 1.009271 0.005822

56 0.323047 1.010356 1.009987 0.005826

57 0.328816 1.011135 1.010745 0.005831

58 0.334585 1.011958 1.011546 0.005835

59 0.340353 1.012827 1.012392 0.005840

60 0.346122 1.013743 1.013285 0.005845

61 0.351891 1.014710 1.014227 0.005851

62 0.357659 1.015728 1.015219 0.005856

63 0.363428 1.016799 1.016264 0.005863

64 0.369197 1.017927 1.017363 0.005869

65 0.374965 1.019112 1.018519 0.005876

66 0.380734 1.020357 1.019734 0.005883

67 0.386503 1.021664 1.021010 0.005890

68 0.392272 1.023036 1.022350 0.005898

69 0.398040 1.024475 1.023755 0.005906

70 0.403809 1.025983 1.025229 0.005914

71 0.409578 1.027563 1.026773 0.005923

Page 199: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.415346 1.029218 1.028391 0.005932

73 0.421115 1.030950 1.030084 0.005942

74 0.426884 1.032763 1.031856 0.005952

75 0.432652 1.034658 1.033711 0.005963

76 0.438421 1.036640 1.035649 0.005974

77 0.444190 1.038711 1.037676 0.005986

78 0.449959 1.040875 1.039793 0.005998

79 0.455727 1.043135 1.042005 0.006011

80 0.461496 1.045494 1.044314 0.006024

81 0.467265 1.047956 1.046725 0.006038

82 0.473033 1.050525 1.049241 0.006053

83 0.478802 1.053205 1.051865 0.006068

84 0.484571 1.056000 1.054603 0.006084

85 0.490339 1.058914 1.057457 0.006100

86 0.496108 1.061952 1.060433 0.006117

87 0.501877 1.065118 1.063535 0.006135

88 0.507646 1.068417 1.066768 0.006154

89 0.513414 1.071855 1.070136 0.006173

90 0.519183 1.075435 1.073645 0.006194

91 0.524952 1.079164 1.077300 0.006215

92 0.530720 1.083048 1.081106 0.006237

93 0.536489 1.087093 1.085071 0.006259

94 0.542258 1.091304 1.089198 0.006283

95 0.548026 1.095689 1.093497 0.006308

96 0.553795 1.100254 1.097972 0.006334

97 0.559564 1.105007 1.102631 0.006361

98 0.565333 1.109955 1.107481 0.006389

99 0.571101 1.115106 1.112531 0.006418

100 0.576870 1.120469 1.117788 0.006448

101 0.582639 1.126053 1.123261 0.006480

102 0.588407 1.131867 1.128960 0.006513

103 0.594176 1.137920 1.134893 0.006547

104 0.599945 1.144224 1.141072 0.006583

105 0.605713 1.150788 1.147506 0.006620

106 0.611482 1.157626 1.154207 0.006658

107 0.617251 1.164749 1.161188 0.006699

108 0.623020 1.172170 1.168460 0.006740

109 0.628788 1.179904 1.176037 0.006784

110 0.634557 1.187964 1.183934 0.006830

111 0.640326 1.196367 1.192165 0.006877

112 0.646094 1.205129 1.200748 0.006927

113 0.651863 1.214268 1.209698 0.006978

114 0.657632 1.223802 1.219035 0.007032

Page 200: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.663400 1.233753 1.228778 0.007088

116 0.669169 1.244141 1.238947 0.007147

117 0.674938 1.254990 1.249566 0.007208

118 0.680707 1.266325 1.260658 0.007272

119 0.686475 1.278171 1.272248 0.007339

120 0.692244 1.290558 1.284365 0.007409

121 0.698013 1.303516 1.297037 0.007482

122 0.703781 1.317079 1.310298 0.007559

123 0.709550 1.331281 1.324180 0.007639

124 0.715319 1.346162 1.338722 0.007723

125 0.721087 1.361763 1.353963 0.007811

126 0.726856 1.378130 1.369947 0.007903

127 0.732625 1.395311 1.386721 0.008000

128 0.738394 1.413361 1.404336 0.008101

129 0.744162 1.432336 1.422848 0.008208

130 0.749931 1.452302 1.442319 0.008320

131 0.755700 1.473327 1.462814 0.008439

132 0.761468 1.495487 1.484407 0.008563

133 0.767237 1.518868 1.507178 0.008694

134 0.773006 1.543560 1.531214 0.008833

135 0.778774 1.569667 1.556614 0.008980

136 0.784543 1.597300 1.583484 0.009135

137 0.790312 1.626586 1.611943 0.009299

138 0.796081 1.657664 1.642125 0.009473

139 0.801849 1.690689 1.674176 0.009658

140 0.807618 1.725836 1.708262 0.009854

141 0.813387 1.763301 1.744568 0.010064

142 0.819155 1.803304 1.783303 0.010287

143 0.824924 1.846097 1.824701 0.010526

144 0.830693 1.891962 1.869030 0.010782

145 0.836461 1.941225 1.916594 0.011056

146 0.842230 1.994256 1.967740 0.011351

147 0.847999 2.051484 2.022870 0.011669

148 0.853768 2.113403 2.082443 0.012013

149 0.859536 2.180592 2.146998 0.012385

150 0.865305 2.253726 2.217159 0.012790

151 0.871074 2.333600 2.293663 0.013231

152 0.876842 2.421162 2.377381 0.013714

153 0.882611 2.517543 2.469353 0.014245

154 0.888380 2.624109 2.570826 0.014830

155 0.894148 2.742523 2.683316 0.015479

156 0.899917 2.874831 2.808677 0.016202

157 0.905686 3.023583 2.949207 0.017013

Page 201: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.911455 3.191989 3.107786 0.017928

159 0.917223 3.384157 3.288073 0.018968

160 0.922992 3.605423 3.494790 0.020160

161 0.928761 3.862856 3.734139 0.021541

162 0.934529 4.166010 4.014433 0.023158

163 0.940298 4.528138 4.347074 0.025077

164 0.946067 4.968159 4.748148 0.027391

165 0.951835 5.514057 5.241108 0.030234

166 0.957604 6.209047 5.861552 0.033814

167 0.963373 7.123569 6.666308 0.038456

168 0.969142 8.380735 7.752152 0.044720

169 0.974910 10.216882 9.298809 0.053642

170 0.980679 13.150601 11.683742 0.067400

171 0.986448 18.583450 15.867025 0.091532

172 0.992216 32.071916 25.327683 0.146108

173 0.997985 122.802689 77.437302 0.446713

174 1.003754 -65.342895 28.729897 0.165734

175 1.009522 -25.532324 -45.437610 -0.262116

176 1.015291 -15.760879 -20.646602 -0.119104

177 1.021060 -11.343601 -13.552240 -0.078179

178 1.026828 -8.826704 -10.085153 -0.058178

179 1.032597 -7.201255 -8.013979 -0.046230

180 1.038366 -6.065135 -6.633195 -0.038265

181 1.044135 -5.226463 -5.645799 -0.032569

182 1.049903 -4.582084 -4.904274 -0.028291

183 1.055672 -4.071596 -4.326840 -0.024960

184 1.061441 -3.657284 -3.864440 -0.022293

185 1.067209 -3.314380 -3.485832 -0.020109

186 1.072978 -3.025947 -3.170163 -0.018288

187 1.078747 -2.780013 -2.902980 -0.016746

188 1.084515 -2.567872 -2.673943 -0.015425

189 1.090284 -2.383046 -2.475459 -0.014280

190 1.096053 -2.220611 -2.301829 -0.013279

191 1.101822 -2.076760 -2.148686 -0.012395

192 1.107590 -1.948502 -2.012631 -0.011610

193 1.113359 -1.833455 -1.890978 -0.010908

194 1.119128 -1.729698 -1.781576 -0.010277

195 1.124896 -1.635665 -1.682682 -0.009707

196 1.130665 -1.550068 -1.592867 -0.009189

197 1.136434 -1.471835 -1.510952 -0.008716

198 1.142202 -1.400069 -1.435952 -0.008284

199 1.147971 -1.334012 -1.367040 -0.007886

200 1.153740 -1.273020 -1.303516 -0.007520

Page 202: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.48275

Page 203: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.1251

N 4.0537

RESULTADO

F(u,N) 0.3105

CALCULOSxo 0 N tramos= 200xn 1.12512 0.005626C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005626 1.000000 1.000000 0.005626

2 0.011251 1.000000 1.000000 0.005626

3 0.016877 1.000000 1.000000 0.005626

4 0.022502 1.000000 1.000000 0.005626

5 0.028128 1.000001 1.000000 0.005626

6 0.033754 1.000001 1.000001 0.005626

7 0.039379 1.000002 1.000002 0.005626

8 0.045005 1.000003 1.000003 0.005626

9 0.050631 1.000006 1.000005 0.005626

10 0.056256 1.000009 1.000007 0.005626

11 0.061882 1.000013 1.000011 0.005626

12 0.067507 1.000018 1.000015 0.005626

13 0.073133 1.000025 1.000021 0.005626

14 0.078759 1.000034 1.000029 0.005626

15 0.084384 1.000044 1.000039 0.005626

16 0.090010 1.000058 1.000051 0.005626

17 0.095635 1.000074 1.000066 0.005626

18 0.101261 1.000093 1.000083 0.005626

19 0.106887 1.000116 1.000104 0.005626

20 0.112512 1.000143 1.000129 0.005626

21 0.118138 1.000174 1.000158 0.005627

22 0.123764 1.000210 1.000192 0.005627

23 0.129389 1.000251 1.000230 0.005627

24 0.135015 1.000298 1.000275 0.005627

25 0.140640 1.000352 1.000325 0.005627

26 0.146266 1.000413 1.000383 0.005628

27 0.151892 1.000481 1.000447 0.005628

28 0.157517 1.000558 1.000520 0.005629

29 0.163143 1.000643 1.000600 0.005629

5

Page 204: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.168769 1.000738 1.000690 0.005630

31 0.174394 1.000843 1.000790 0.005630

32 0.180020 1.000959 1.000901 0.005631

33 0.185645 1.001086 1.001022 0.005631

34 0.191271 1.001226 1.001156 0.005632

35 0.196897 1.001379 1.001303 0.005633

36 0.202522 1.001546 1.001463 0.005634

37 0.208148 1.001728 1.001637 0.005635

38 0.213773 1.001926 1.001827 0.005636

39 0.219399 1.002140 1.002033 0.005637

40 0.225025 1.002372 1.002256 0.005638

41 0.230650 1.002623 1.002497 0.005640

42 0.236276 1.002892 1.002758 0.005641

43 0.241902 1.003183 1.003038 0.005643

44 0.247527 1.003495 1.003339 0.005644

45 0.253153 1.003829 1.003662 0.005646

46 0.258778 1.004188 1.004009 0.005648

47 0.264404 1.004571 1.004379 0.005650

48 0.270030 1.004980 1.004776 0.005652

49 0.275655 1.005417 1.005199 0.005655

50 0.281281 1.005882 1.005649 0.005657

51 0.286906 1.006377 1.006129 0.005660

52 0.292532 1.006902 1.006640 0.005663

53 0.298158 1.007461 1.007182 0.005666

54 0.303783 1.008053 1.007757 0.005669

55 0.309409 1.008680 1.008366 0.005673

56 0.315035 1.009344 1.009012 0.005676

57 0.320660 1.010046 1.009695 0.005680

58 0.326286 1.010788 1.010417 0.005684

59 0.331911 1.011571 1.011179 0.005689

60 0.337537 1.012396 1.011984 0.005693

61 0.343163 1.013267 1.012832 0.005698

62 0.348788 1.014184 1.013725 0.005703

63 0.354414 1.015149 1.014666 0.005708

64 0.360039 1.016163 1.015656 0.005714

65 0.365665 1.017230 1.016697 0.005720

66 0.371291 1.018350 1.017790 0.005726

67 0.376916 1.019526 1.018938 0.005732

68 0.382542 1.020760 1.020143 0.005739

69 0.388168 1.022053 1.021406 0.005746

70 0.393793 1.023409 1.022731 0.005753

71 0.399419 1.024829 1.024119 0.005761

Page 205: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.405044 1.026315 1.025572 0.005769

73 0.410670 1.027871 1.027093 0.005778

74 0.416296 1.029498 1.028684 0.005787

75 0.421921 1.031199 1.030348 0.005796

76 0.427547 1.032976 1.032087 0.005806

77 0.433172 1.034833 1.033905 0.005816

78 0.438798 1.036773 1.035803 0.005827

79 0.444424 1.038797 1.037785 0.005838

80 0.450049 1.040910 1.039853 0.005850

81 0.455675 1.043114 1.042012 0.005862

82 0.461301 1.045412 1.044263 0.005875

83 0.466926 1.047809 1.046610 0.005888

84 0.472552 1.050307 1.049058 0.005902

85 0.478177 1.052910 1.051608 0.005916

86 0.483803 1.055622 1.054266 0.005931

87 0.489429 1.058446 1.057034 0.005946

88 0.495054 1.061388 1.059917 0.005963

89 0.500680 1.064451 1.062919 0.005980

90 0.506306 1.067639 1.066045 0.005997

91 0.511931 1.070957 1.069298 0.006015

92 0.517557 1.074411 1.072684 0.006035

93 0.523182 1.078004 1.076208 0.006054

94 0.528808 1.081743 1.079874 0.006075

95 0.534434 1.085633 1.083688 0.006096

96 0.540059 1.089679 1.087656 0.006119

97 0.545685 1.093888 1.091783 0.006142

98 0.551310 1.098265 1.096077 0.006166

99 0.556936 1.102818 1.100542 0.006191

100 0.562562 1.107554 1.105186 0.006217

101 0.568187 1.112478 1.110016 0.006245

102 0.573813 1.117601 1.115039 0.006273

103 0.579439 1.122928 1.120264 0.006302

104 0.585064 1.128469 1.125698 0.006333

105 0.590690 1.134232 1.131351 0.006365

106 0.596315 1.140228 1.137230 0.006398

107 0.601941 1.146465 1.143347 0.006432

108 0.607567 1.152955 1.149710 0.006468

109 0.613192 1.159707 1.156331 0.006505

110 0.618818 1.166735 1.163221 0.006544

111 0.624443 1.174050 1.170392 0.006584

112 0.630069 1.181665 1.177857 0.006626

113 0.635695 1.189594 1.185629 0.006670

114 0.641320 1.197851 1.193722 0.006715

Page 206: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.646946 1.206454 1.202153 0.006763

116 0.652572 1.215417 1.210935 0.006812

117 0.658197 1.224759 1.220088 0.006864

118 0.663823 1.234498 1.229629 0.006917

119 0.669448 1.244656 1.239577 0.006973

120 0.675074 1.255252 1.249954 0.007032

121 0.680700 1.266311 1.260782 0.007093

122 0.686325 1.277856 1.272084 0.007156

123 0.691951 1.289915 1.283886 0.007223

124 0.697576 1.302516 1.296216 0.007292

125 0.703202 1.315689 1.309102 0.007365

126 0.708828 1.329467 1.322578 0.007440

127 0.714453 1.343885 1.336676 0.007520

128 0.720079 1.358982 1.351433 0.007603

129 0.725705 1.374799 1.366891 0.007690

130 0.731330 1.391382 1.383091 0.007781

131 0.736956 1.408778 1.400080 0.007876

132 0.742581 1.427041 1.417909 0.007977

133 0.748207 1.446227 1.436634 0.008082

134 0.753833 1.466402 1.456314 0.008193

135 0.759458 1.487632 1.477017 0.008309

136 0.765084 1.509993 1.498812 0.008432

137 0.770709 1.533568 1.521780 0.008561

138 0.776335 1.558448 1.546008 0.008697

139 0.781961 1.584734 1.571591 0.008841

140 0.787586 1.612535 1.598634 0.008993

141 0.793212 1.641977 1.627256 0.009154

142 0.798838 1.673194 1.657586 0.009325

143 0.804463 1.706341 1.689768 0.009506

144 0.810089 1.741587 1.723964 0.009698

145 0.815714 1.779124 1.760356 0.009903

146 0.821340 1.819168 1.799146 0.010121

147 0.826966 1.861962 1.840565 0.010354

148 0.832591 1.907783 1.884873 0.010604

149 0.838217 1.956945 1.932364 0.010871

150 0.843843 2.009809 1.983377 0.011158

151 0.849468 2.066788 2.038298 0.011467

152 0.855094 2.128361 2.097574 0.011800

153 0.860719 2.195083 2.161722 0.012161

154 0.866345 2.267603 2.231343 0.012553

155 0.871971 2.346685 2.307144 0.012979

156 0.877596 2.433231 2.389958 0.013445

157 0.883222 2.528319 2.480775 0.013956

Page 207: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.888847 2.633244 2.580781 0.014518

159 0.894473 2.749578 2.691411 0.015141

160 0.900099 2.879248 2.814413 0.015833

161 0.905724 3.024637 2.951943 0.016606

162 0.911350 3.188738 3.106688 0.017477

163 0.916976 3.375351 3.282045 0.018464

164 0.922601 3.589384 3.482368 0.019590

165 0.928227 3.837281 3.713332 0.020890

166 0.933852 4.127680 3.982480 0.022404

167 0.939478 4.472430 4.300055 0.024190

168 0.945104 4.888237 4.680333 0.026330

169 0.950729 5.399436 5.143837 0.028937

170 0.956355 6.042912 5.721174 0.032185

171 0.961980 6.877376 6.460144 0.036342

172 0.967606 8.002327 7.439852 0.041854

173 0.973232 9.600902 8.801614 0.049515

174 0.978857 12.051159 10.826031 0.060903

175 0.984483 16.279401 14.165280 0.079688

176 0.990109 25.319221 20.799311 0.117009

177 0.995734 58.206523 41.762872 0.234942

178 1.001360 -181.040793 -61.417135 -0.345509

179 1.006985 -34.940236 -107.990515 -0.607513

180 1.012611 -19.188559 -27.064398 -0.152254

181 1.018237 -13.156085 -16.172322 -0.090979

182 1.023862 -9.968788 -11.562437 -0.065046

183 1.029488 -7.998276 -8.983532 -0.050538

184 1.035113 -6.659711 -7.328994 -0.041230

185 1.040739 -5.691296 -6.175504 -0.034741

186 1.046365 -4.958291 -5.324793 -0.029955

187 1.051990 -4.384275 -4.671283 -0.026279

188 1.057616 -3.922675 -4.153475 -0.023366

189 1.063242 -3.543488 -3.733081 -0.021001

190 1.068867 -3.226515 -3.385001 -0.019043

191 1.074493 -2.957659 -3.092087 -0.017395

192 1.080118 -2.726783 -2.842221 -0.015989

193 1.085744 -2.526408 -2.626596 -0.014776

194 1.091370 -2.350900 -2.438654 -0.013719

195 1.096995 -2.195930 -2.273415 -0.012789

196 1.102621 -2.058118 -2.127024 -0.011966

197 1.108246 -1.934789 -1.996453 -0.011231

198 1.113872 -1.823793 -1.879291 -0.010572

199 1.119498 -1.723389 -1.773591 -0.009978

200 1.125123 -1.632146 -1.677768 -0.009438

Page 208: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 0.31051

Page 209: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.0965

N 4.0537

RESULTADO

F(u,N) 1.4400

CALCULOSxo 0 N tramos= 200xn 1.09651 0.005483C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005483 1.000000 1.000000 0.005483

2 0.010965 1.000000 1.000000 0.005483

3 0.016448 1.000000 1.000000 0.005483

4 0.021930 1.000000 1.000000 0.005483

5 0.027413 1.000000 1.000000 0.005483

6 0.032895 1.000001 1.000001 0.005483

7 0.038378 1.000002 1.000001 0.005483

8 0.043860 1.000003 1.000002 0.005483

9 0.049343 1.000005 1.000004 0.005483

10 0.054825 1.000008 1.000006 0.005483

11 0.060308 1.000011 1.000010 0.005483

12 0.065790 1.000016 1.000014 0.005483

13 0.071273 1.000022 1.000019 0.005483

14 0.076755 1.000030 1.000026 0.005483

15 0.082238 1.000040 1.000035 0.005483

16 0.087721 1.000052 1.000046 0.005483

17 0.093203 1.000066 1.000059 0.005483

18 0.098686 1.000084 1.000075 0.005483

19 0.104168 1.000104 1.000094 0.005483

20 0.109651 1.000128 1.000116 0.005483

21 0.115133 1.000156 1.000142 0.005483

22 0.120616 1.000189 1.000173 0.005483

23 0.126098 1.000226 1.000208 0.005484

24 0.131581 1.000269 1.000248 0.005484

25 0.137063 1.000317 1.000293 0.005484

26 0.142546 1.000372 1.000345 0.005484

27 0.148028 1.000434 1.000403 0.005485

28 0.153511 1.000502 1.000468 0.005485

29 0.158993 1.000579 1.000541 0.005485

6

Page 210: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.164476 1.000665 1.000622 0.005486

31 0.169959 1.000759 1.000712 0.005486

32 0.175441 1.000864 1.000811 0.005487

33 0.180924 1.000978 1.000921 0.005488

34 0.186406 1.001104 1.001041 0.005488

35 0.191889 1.001242 1.001173 0.005489

36 0.197371 1.001393 1.001318 0.005490

37 0.202854 1.001557 1.001475 0.005491

38 0.208336 1.001735 1.001646 0.005492

39 0.213819 1.001928 1.001831 0.005493

40 0.219301 1.002136 1.002032 0.005494

41 0.224784 1.002362 1.002249 0.005495

42 0.230266 1.002605 1.002483 0.005496

43 0.235749 1.002866 1.002736 0.005498

44 0.241231 1.003147 1.003007 0.005499

45 0.246714 1.003448 1.003298 0.005501

46 0.252197 1.003771 1.003610 0.005502

47 0.257679 1.004116 1.003943 0.005504

48 0.263162 1.004484 1.004300 0.005506

49 0.268644 1.004877 1.004681 0.005508

50 0.274127 1.005295 1.005086 0.005510

51 0.279609 1.005741 1.005518 0.005513

52 0.285092 1.006214 1.005977 0.005515

53 0.290574 1.006716 1.006465 0.005518

54 0.296057 1.007248 1.006982 0.005521

55 0.301539 1.007812 1.007530 0.005524

56 0.307022 1.008409 1.008111 0.005527

57 0.312504 1.009041 1.008725 0.005530

58 0.317987 1.009707 1.009374 0.005534

59 0.323470 1.010411 1.010059 0.005538

60 0.328952 1.011153 1.010782 0.005542

61 0.334435 1.011936 1.011545 0.005546

62 0.339917 1.012759 1.012347 0.005550

63 0.345400 1.013626 1.013193 0.005555

64 0.350882 1.014537 1.014082 0.005560

65 0.356365 1.015495 1.015016 0.005565

66 0.361847 1.016500 1.015998 0.005570

67 0.367330 1.017556 1.017028 0.005576

68 0.372812 1.018663 1.018109 0.005582

69 0.378295 1.019823 1.019243 0.005588

70 0.383777 1.021039 1.020431 0.005595

71 0.389260 1.022312 1.021675 0.005601

Page 211: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.394742 1.023644 1.022978 0.005609

73 0.400225 1.025038 1.024341 0.005616

74 0.405708 1.026495 1.025766 0.005624

75 0.411190 1.028018 1.027256 0.005632

76 0.416673 1.029609 1.028814 0.005641

77 0.422155 1.031271 1.030440 0.005649

78 0.427638 1.033006 1.032138 0.005659

79 0.433120 1.034816 1.033911 0.005668

80 0.438603 1.036704 1.035760 0.005679

81 0.444085 1.038673 1.037688 0.005689

82 0.449568 1.040725 1.039699 0.005700

83 0.455050 1.042864 1.041795 0.005712

84 0.460533 1.045093 1.043979 0.005724

85 0.466015 1.047414 1.046253 0.005736

86 0.471498 1.049831 1.048622 0.005749

87 0.476980 1.052347 1.051089 0.005763

88 0.482463 1.054966 1.053656 0.005777

89 0.487946 1.057690 1.056328 0.005791

90 0.493428 1.060525 1.059108 0.005807

91 0.498911 1.063474 1.062000 0.005822

92 0.504393 1.066541 1.065007 0.005839

93 0.509876 1.069729 1.068135 0.005856

94 0.515358 1.073045 1.071387 0.005874

95 0.520841 1.076491 1.074768 0.005892

96 0.526323 1.080074 1.078282 0.005912

97 0.531806 1.083797 1.081935 0.005932

98 0.537288 1.087666 1.085732 0.005953

99 0.542771 1.091687 1.089677 0.005974

100 0.548253 1.095865 1.093776 0.005997

101 0.553736 1.100206 1.098036 0.006020

102 0.559218 1.104717 1.102462 0.006044

103 0.564701 1.109404 1.107060 0.006069

104 0.570184 1.114273 1.111838 0.006096

105 0.575666 1.119332 1.116803 0.006123

106 0.581149 1.124589 1.121961 0.006151

107 0.586631 1.130052 1.127320 0.006181

108 0.592114 1.135728 1.132890 0.006211

109 0.597596 1.141626 1.138677 0.006243

110 0.603079 1.147757 1.144692 0.006276

111 0.608561 1.154129 1.150943 0.006310

112 0.614044 1.160753 1.157441 0.006346

113 0.619526 1.167640 1.164197 0.006383

114 0.625009 1.174801 1.171221 0.006421

Page 212: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.630491 1.182249 1.178525 0.006461

116 0.635974 1.189996 1.186122 0.006503

117 0.641456 1.198056 1.194026 0.006546

118 0.646939 1.206443 1.202249 0.006591

119 0.652422 1.215173 1.210808 0.006638

120 0.657904 1.224263 1.219718 0.006687

121 0.663387 1.233729 1.228996 0.006738

122 0.668869 1.243590 1.238659 0.006791

123 0.674352 1.253866 1.248728 0.006846

124 0.679834 1.264579 1.259222 0.006904

125 0.685317 1.275750 1.270164 0.006964

126 0.690799 1.287404 1.281577 0.007026

127 0.696282 1.299567 1.293485 0.007092

128 0.701764 1.312266 1.305916 0.007160

129 0.707247 1.325532 1.318899 0.007231

130 0.712729 1.339396 1.332464 0.007305

131 0.718212 1.353894 1.346645 0.007383

132 0.723694 1.369062 1.361478 0.007464

133 0.729177 1.384942 1.377002 0.007549

134 0.734660 1.401576 1.393259 0.007639

135 0.740142 1.419012 1.410294 0.007732

136 0.745625 1.437301 1.428156 0.007830

137 0.751107 1.456500 1.446901 0.007933

138 0.756590 1.476670 1.466585 0.008041

139 0.762072 1.497876 1.487273 0.008154

140 0.767555 1.520193 1.509035 0.008273

141 0.773037 1.543699 1.531946 0.008399

142 0.778520 1.568483 1.556091 0.008531

143 0.784002 1.594642 1.581563 0.008671

144 0.789485 1.622282 1.608462 0.008818

145 0.794967 1.651521 1.636901 0.008974

146 0.800450 1.682490 1.667006 0.009139

147 0.805933 1.715337 1.698914 0.009314

148 0.811415 1.750223 1.732780 0.009500

149 0.816898 1.787330 1.768776 0.009697

150 0.822380 1.826865 1.807098 0.009907

151 0.827863 1.869058 1.847961 0.010132

152 0.833345 1.914170 1.891614 0.010371

153 0.838828 1.962499 1.938335 0.010627

154 0.844310 2.014383 1.988441 0.010902

155 0.849793 2.070211 2.042297 0.011197

156 0.855275 2.130431 2.100321 0.011515

157 0.860758 2.195559 2.162995 0.011859

Page 213: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.866240 2.266197 2.230878 0.012231

159 0.871723 2.343053 2.304625 0.012635

160 0.877205 2.426956 2.385005 0.013076

161 0.882688 2.518895 2.472926 0.013558

162 0.888171 2.620048 2.569472 0.014087

163 0.893653 2.731841 2.675945 0.014671

164 0.899136 2.856006 2.793924 0.015318

165 0.904618 2.994675 2.925341 0.016038

166 0.910101 3.150501 3.072588 0.016846

167 0.915583 3.326823 3.238662 0.017756

168 0.921066 3.527912 3.427368 0.018791

169 0.926548 3.759310 3.643611 0.019976

170 0.932031 4.028350 3.893830 0.021348

171 0.937513 4.344936 4.186643 0.022953

172 0.942996 4.722787 4.533862 0.024857

173 0.948478 5.181455 4.952121 0.027150

174 0.953961 5.749810 5.465632 0.029966

175 0.959443 6.472331 6.111070 0.033504

176 0.964926 7.421309 6.946820 0.038086

177 0.970409 8.722607 8.071958 0.044255

178 0.975891 10.616579 9.669593 0.053014

179 0.981374 13.626563 12.121571 0.066457

180 0.986856 19.149071 16.387817 0.089847

181 0.992339 32.578047 25.863559 0.141798

182 0.997821 113.598658 73.088352 0.400709

183 1.003304 -74.293640 19.652509 0.107746

184 1.008786 -27.702562 -50.998101 -0.279599

185 1.014269 -16.916403 -22.309483 -0.122312

186 1.019751 -12.119189 -14.517796 -0.079594

187 1.025234 -9.407279 -10.763234 -0.059010

188 1.030716 -7.664057 -8.535668 -0.046797

189 1.036199 -6.449380 -7.056719 -0.038689

190 1.041681 -5.554679 -6.002030 -0.032906

191 1.047164 -4.868365 -5.211522 -0.028572

192 1.052647 -4.325331 -4.596848 -0.025202

193 1.058129 -3.885033 -4.105182 -0.022507

194 1.063612 -3.520907 -3.702970 -0.020302

195 1.069094 -3.214816 -3.367861 -0.018464

196 1.074577 -2.953959 -3.084388 -0.016910

197 1.080059 -2.729043 -2.841501 -0.015579

198 1.085542 -2.533153 -2.631098 -0.014425

199 1.091024 -2.361045 -2.447099 -0.013416

200 1.096507 -2.208662 -2.284853 -0.012527

Page 214: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.44001

Page 215: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.0679

N 4.0537

RESULTADO

F(u,N) 1.8782

CALCULOSxo 0 N tramos= 200xn 1.06789 0.005339C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005339 1.000000 1.000000 0.005339

2 0.010679 1.000000 1.000000 0.005339

3 0.016018 1.000000 1.000000 0.005339

4 0.021358 1.000000 1.000000 0.005339

5 0.026697 1.000000 1.000000 0.005339

6 0.032037 1.000001 1.000001 0.005339

7 0.037376 1.000002 1.000001 0.005339

8 0.042716 1.000003 1.000002 0.005339

9 0.048055 1.000005 1.000004 0.005339

10 0.053395 1.000007 1.000006 0.005339

11 0.058734 1.000010 1.000009 0.005339

12 0.064073 1.000015 1.000012 0.005340

13 0.069413 1.000020 1.000017 0.005340

14 0.074752 1.000027 1.000024 0.005340

15 0.080092 1.000036 1.000032 0.005340

16 0.085431 1.000047 1.000041 0.005340

17 0.090771 1.000060 1.000053 0.005340

18 0.096110 1.000075 1.000067 0.005340

19 0.101450 1.000094 1.000084 0.005340

20 0.106789 1.000115 1.000105 0.005340

21 0.112128 1.000141 1.000128 0.005340

22 0.117468 1.000170 1.000155 0.005340

23 0.122807 1.000203 1.000187 0.005340

24 0.128147 1.000242 1.000222 0.005341

25 0.133486 1.000285 1.000263 0.005341

26 0.138826 1.000334 1.000310 0.005341

27 0.144165 1.000389 1.000362 0.005341

28 0.149505 1.000451 1.000420 0.005342

29 0.154844 1.000520 1.000486 0.005342

7

Page 216: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.160184 1.000597 1.000559 0.005342

31 0.165523 1.000682 1.000640 0.005343

32 0.170862 1.000776 1.000729 0.005343

33 0.176202 1.000879 1.000827 0.005344

34 0.181541 1.000992 1.000935 0.005344

35 0.186881 1.001116 1.001054 0.005345

36 0.192220 1.001251 1.001183 0.005346

37 0.197560 1.001398 1.001325 0.005347

38 0.202899 1.001558 1.001478 0.005347

39 0.208239 1.001731 1.001645 0.005348

40 0.213578 1.001919 1.001825 0.005349

41 0.218918 1.002121 1.002020 0.005350

42 0.224257 1.002339 1.002230 0.005351

43 0.229596 1.002574 1.002457 0.005353

44 0.234936 1.002826 1.002700 0.005354

45 0.240275 1.003097 1.002962 0.005355

46 0.245615 1.003386 1.003242 0.005357

47 0.250954 1.003696 1.003541 0.005358

48 0.256294 1.004027 1.003861 0.005360

49 0.261633 1.004379 1.004203 0.005362

50 0.266973 1.004755 1.004567 0.005364

51 0.272312 1.005154 1.004954 0.005366

52 0.277651 1.005579 1.005366 0.005368

53 0.282991 1.006029 1.005804 0.005370

54 0.288330 1.006507 1.006268 0.005373

55 0.293670 1.007013 1.006760 0.005376

56 0.299009 1.007548 1.007280 0.005378

57 0.304349 1.008114 1.007831 0.005381

58 0.309688 1.008712 1.008413 0.005384

59 0.315028 1.009343 1.009027 0.005388

60 0.320367 1.010008 1.009676 0.005391

61 0.325707 1.010709 1.010359 0.005395

62 0.331046 1.011447 1.011078 0.005399

63 0.336385 1.012224 1.011836 0.005403

64 0.341725 1.013040 1.012632 0.005407

65 0.347064 1.013898 1.013469 0.005411

66 0.352404 1.014798 1.014348 0.005416

67 0.357743 1.015743 1.015271 0.005421

68 0.363083 1.016734 1.016238 0.005426

69 0.368422 1.017772 1.017253 0.005432

70 0.373762 1.018860 1.018316 0.005437

71 0.379101 1.019998 1.019429 0.005443

Page 217: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.384440 1.021189 1.020594 0.005449

73 0.389780 1.022435 1.021812 0.005456

74 0.395119 1.023738 1.023087 0.005463

75 0.400459 1.025098 1.024418 0.005470

76 0.405798 1.026520 1.025809 0.005477

77 0.411138 1.028003 1.027261 0.005485

78 0.416477 1.029551 1.028777 0.005493

79 0.421817 1.031166 1.030359 0.005502

80 0.427156 1.032850 1.032008 0.005510

81 0.432496 1.034606 1.033728 0.005520

82 0.437835 1.036435 1.035520 0.005529

83 0.443174 1.038340 1.037387 0.005539

84 0.448514 1.040324 1.039332 0.005549

85 0.453853 1.042390 1.041357 0.005560

86 0.459193 1.044540 1.043465 0.005572

87 0.464532 1.046777 1.045658 0.005583

88 0.469872 1.049104 1.047940 0.005595

89 0.475211 1.051524 1.050314 0.005608

90 0.480551 1.054040 1.052782 0.005621

91 0.485890 1.056656 1.055348 0.005635

92 0.491230 1.059375 1.058016 0.005649

93 0.496569 1.062200 1.060788 0.005664

94 0.501908 1.065136 1.063668 0.005679

95 0.507248 1.068186 1.066661 0.005695

96 0.512587 1.071353 1.069769 0.005712

97 0.517927 1.074643 1.072998 0.005729

98 0.523266 1.078059 1.076351 0.005747

99 0.528606 1.081606 1.079833 0.005766

100 0.533945 1.085289 1.083448 0.005785

101 0.539285 1.089112 1.087201 0.005805

102 0.544624 1.093081 1.091097 0.005826

103 0.549963 1.097201 1.095141 0.005847

104 0.555303 1.101478 1.099340 0.005870

105 0.560642 1.105917 1.103698 0.005893

106 0.565982 1.110525 1.108221 0.005917

107 0.571321 1.115307 1.112916 0.005942

108 0.576661 1.120271 1.117789 0.005968

109 0.582000 1.125424 1.122848 0.005995

110 0.587340 1.130773 1.128098 0.006023

111 0.592679 1.136326 1.133549 0.006053

112 0.598019 1.142090 1.139208 0.006083

113 0.603358 1.148076 1.145083 0.006114

114 0.608697 1.154291 1.151183 0.006147

Page 218: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.614037 1.160745 1.157518 0.006181

116 0.619376 1.167448 1.164096 0.006216

117 0.624716 1.174411 1.170930 0.006252

118 0.630055 1.181645 1.178028 0.006290

119 0.635395 1.189163 1.185404 0.006329

120 0.640734 1.196975 1.193069 0.006370

121 0.646074 1.205097 1.201036 0.006413

122 0.651413 1.213541 1.209319 0.006457

123 0.656753 1.222323 1.217932 0.006503

124 0.662092 1.231458 1.226891 0.006551

125 0.667431 1.240965 1.236211 0.006601

126 0.672771 1.250859 1.245912 0.006652

127 0.678110 1.261162 1.256011 0.006706

128 0.683450 1.271893 1.266527 0.006763

129 0.688789 1.283073 1.277483 0.006821

130 0.694129 1.294727 1.288900 0.006882

131 0.699468 1.306880 1.300804 0.006946

132 0.704808 1.319558 1.313219 0.007012

133 0.710147 1.332789 1.326173 0.007081

134 0.715486 1.346605 1.339697 0.007153

135 0.720826 1.361040 1.353823 0.007229

136 0.726165 1.376128 1.368584 0.007307

137 0.731505 1.391909 1.384019 0.007390

138 0.736844 1.408425 1.400167 0.007476

139 0.742184 1.425720 1.417072 0.007566

140 0.747523 1.443844 1.434782 0.007661

141 0.752863 1.462850 1.453347 0.007760

142 0.758202 1.482796 1.472823 0.007864

143 0.763542 1.503745 1.493270 0.007973

144 0.768881 1.525767 1.514756 0.008088

145 0.774220 1.548936 1.537352 0.008209

146 0.779560 1.573337 1.561137 0.008336

147 0.784899 1.599060 1.586198 0.008469

148 0.790239 1.626205 1.612632 0.008611

149 0.795578 1.654883 1.640544 0.008760

150 0.800918 1.685217 1.670050 0.008917

151 0.806257 1.717344 1.701281 0.009084

152 0.811597 1.751415 1.734379 0.009261

153 0.816936 1.787599 1.769507 0.009448

154 0.822276 1.826087 1.806843 0.009648

155 0.827615 1.867091 1.846589 0.009860

156 0.832954 1.910852 1.888971 0.010086

157 0.838294 1.957643 1.934247 0.010328

Page 219: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.843633 2.007772 1.982707 0.010587

159 0.848973 2.061594 2.034683 0.010864

160 0.854312 2.119513 2.090553 0.011162

161 0.859652 2.181995 2.150754 0.011484

162 0.864991 2.249582 2.215788 0.011831

163 0.870331 2.322902 2.286242 0.012207

164 0.875670 2.402694 2.362798 0.012616

165 0.881009 2.489827 2.446261 0.013062

166 0.886349 2.585335 2.537581 0.013549

167 0.891688 2.690455 2.637895 0.014085

168 0.897028 2.806681 2.748568 0.014676

169 0.902367 2.935834 2.871257 0.015331

170 0.907707 3.080155 3.007994 0.016061

171 0.913046 3.242437 3.161296 0.016880

172 0.918386 3.426203 3.334320 0.017803

173 0.923725 3.635965 3.531084 0.018854

174 0.929065 3.877589 3.756777 0.020059

175 0.934404 4.158854 4.018221 0.021455

176 0.939743 4.490296 4.324575 0.023091

177 0.945083 4.886548 4.688422 0.025034

178 0.950422 5.368547 5.127547 0.027378

179 0.955762 5.967337 5.667942 0.030264

180 0.961101 6.731010 6.349173 0.033901

181 0.966441 7.738262 7.234636 0.038629

182 0.971780 9.127349 8.432805 0.045027

183 0.977120 11.165585 10.146467 0.054177

184 0.982459 14.445763 12.805674 0.068375

185 0.987799 20.598315 17.522039 0.093558

186 0.993138 36.328316 28.463316 0.151978

187 0.998477 162.394412 99.361364 0.530535

188 1.003817 -64.255537 49.069437 0.262004

189 1.009156 -26.568002 -45.411769 -0.242474

190 1.014496 -16.645789 -21.606895 -0.115369

191 1.019835 -12.066401 -14.356095 -0.076654

192 1.025175 -9.430252 -10.748326 -0.057390

193 1.030514 -7.717237 -8.573744 -0.045779

194 1.035854 -6.514920 -7.116078 -0.037996

195 1.041193 -5.624709 -6.069815 -0.032409

196 1.046532 -4.939161 -5.281935 -0.028203

197 1.051872 -4.395071 -4.667116 -0.024920

198 1.057211 -3.952832 -4.173951 -0.022287

199 1.062551 -3.586357 -3.769595 -0.020128

200 1.067890 -3.277770 -3.432064 -0.018325

Page 220: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.87821

Page 221: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.0393

N 4.0537

RESULTADO

F(u,N) 1.5255

CALCULOSxo 0 N tramos= 200xn 1.03927 0.005196C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005196 1.000000 1.000000 0.005196

2 0.010393 1.000000 1.000000 0.005196

3 0.015589 1.000000 1.000000 0.005196

4 0.020785 1.000000 1.000000 0.005196

5 0.025982 1.000000 1.000000 0.005196

6 0.031178 1.000001 1.000001 0.005196

7 0.036375 1.000001 1.000001 0.005196

8 0.041571 1.000003 1.000002 0.005196

9 0.046767 1.000004 1.000003 0.005196

10 0.051964 1.000006 1.000005 0.005196

11 0.057160 1.000009 1.000008 0.005196

12 0.062356 1.000013 1.000011 0.005196

13 0.067553 1.000018 1.000016 0.005196

14 0.072749 1.000024 1.000021 0.005196

15 0.077946 1.000032 1.000028 0.005197

16 0.083142 1.000042 1.000037 0.005197

17 0.088338 1.000053 1.000048 0.005197

18 0.093535 1.000067 1.000060 0.005197

19 0.098731 1.000084 1.000076 0.005197

20 0.103927 1.000103 1.000094 0.005197

21 0.109124 1.000126 1.000115 0.005197

22 0.114320 1.000152 1.000139 0.005197

23 0.119516 1.000182 1.000167 0.005197

24 0.124713 1.000216 1.000199 0.005197

25 0.129909 1.000255 1.000236 0.005198

26 0.135106 1.000299 1.000277 0.005198

27 0.140302 1.000349 1.000324 0.005198

28 0.145498 1.000404 1.000377 0.005198

29 0.150695 1.000466 1.000435 0.005199

8

Page 222: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.155891 1.000535 1.000500 0.005199

31 0.161087 1.000611 1.000573 0.005199

32 0.166284 1.000695 1.000653 0.005200

33 0.171480 1.000787 1.000741 0.005200

34 0.176677 1.000889 1.000838 0.005201

35 0.181873 1.000999 1.000944 0.005201

36 0.187069 1.001120 1.001060 0.005202

37 0.192266 1.001252 1.001186 0.005203

38 0.197462 1.001395 1.001324 0.005203

39 0.202658 1.001551 1.001473 0.005204

40 0.207855 1.001718 1.001635 0.005205

41 0.213051 1.001900 1.001809 0.005206

42 0.218247 1.002095 1.001997 0.005207

43 0.223444 1.002305 1.002200 0.005208

44 0.228640 1.002531 1.002418 0.005209

45 0.233837 1.002773 1.002652 0.005210

46 0.239033 1.003032 1.002903 0.005211

47 0.244229 1.003309 1.003171 0.005213

48 0.249426 1.003605 1.003457 0.005214

49 0.254622 1.003921 1.003763 0.005216

50 0.259818 1.004257 1.004089 0.005218

51 0.265015 1.004614 1.004436 0.005219

52 0.270211 1.004994 1.004804 0.005221

53 0.275408 1.005397 1.005196 0.005223

54 0.280604 1.005824 1.005611 0.005226

55 0.285800 1.006277 1.006051 0.005228

56 0.290997 1.006756 1.006516 0.005230

57 0.296193 1.007262 1.007009 0.005233

58 0.301389 1.007797 1.007529 0.005235

59 0.306586 1.008361 1.008079 0.005238

60 0.311782 1.008955 1.008658 0.005241

61 0.316978 1.009582 1.009269 0.005245

62 0.322175 1.010242 1.009912 0.005248

63 0.327371 1.010935 1.010588 0.005251

64 0.332568 1.011665 1.011300 0.005255

65 0.337764 1.012431 1.012048 0.005259

66 0.342960 1.013235 1.012833 0.005263

67 0.348157 1.014078 1.013657 0.005267

68 0.353353 1.014963 1.014521 0.005272

69 0.358549 1.015890 1.015426 0.005277

70 0.363746 1.016860 1.016375 0.005281

71 0.368942 1.017876 1.017368 0.005287

Page 223: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.374139 1.018938 1.018407 0.005292

73 0.379335 1.020049 1.019494 0.005298

74 0.384531 1.021210 1.020630 0.005304

75 0.389728 1.022423 1.021817 0.005310

76 0.394924 1.023689 1.023056 0.005316

77 0.400120 1.025010 1.024350 0.005323

78 0.405317 1.026389 1.025700 0.005330

79 0.410513 1.027826 1.027108 0.005337

80 0.415709 1.029325 1.028576 0.005345

81 0.420906 1.030886 1.030105 0.005353

82 0.426102 1.032512 1.031699 0.005361

83 0.431299 1.034206 1.033359 0.005370

84 0.436495 1.035969 1.035087 0.005379

85 0.441691 1.037803 1.036886 0.005388

86 0.446888 1.039711 1.038757 0.005398

87 0.452084 1.041696 1.040704 0.005408

88 0.457280 1.043760 1.042728 0.005418

89 0.462477 1.045905 1.044833 0.005429

90 0.467673 1.048134 1.047020 0.005441

91 0.472870 1.050451 1.049293 0.005453

92 0.478066 1.052857 1.051654 0.005465

93 0.483262 1.055356 1.054107 0.005478

94 0.488459 1.057951 1.056654 0.005491

95 0.493655 1.060645 1.059298 0.005505

96 0.498851 1.063442 1.062043 0.005519

97 0.504048 1.066344 1.064893 0.005534

98 0.509244 1.069356 1.067850 0.005549

99 0.514440 1.072481 1.070918 0.005565

100 0.519637 1.075723 1.074102 0.005581

101 0.524833 1.079086 1.077405 0.005599

102 0.530030 1.082575 1.080831 0.005616

103 0.535226 1.086193 1.084384 0.005635

104 0.540422 1.089946 1.088069 0.005654

105 0.545619 1.093837 1.091892 0.005674

106 0.550815 1.097873 1.095855 0.005694

107 0.556011 1.102058 1.099965 0.005716

108 0.561208 1.106397 1.104227 0.005738

109 0.566404 1.110896 1.108647 0.005761

110 0.571601 1.115562 1.113229 0.005785

111 0.576797 1.120400 1.117981 0.005809

112 0.581993 1.125417 1.122909 0.005835

113 0.587190 1.130620 1.128019 0.005862

114 0.592386 1.136015 1.133318 0.005889

Page 224: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.597582 1.141611 1.138813 0.005918

116 0.602779 1.147415 1.144513 0.005947

117 0.607975 1.153436 1.150426 0.005978

118 0.613172 1.159682 1.156559 0.006010

119 0.618368 1.166162 1.162922 0.006043

120 0.623564 1.172887 1.169525 0.006077

121 0.628761 1.179866 1.176376 0.006113

122 0.633957 1.187110 1.183488 0.006150

123 0.639153 1.194631 1.190870 0.006188

124 0.644350 1.202440 1.198535 0.006228

125 0.649546 1.210551 1.206495 0.006269

126 0.654742 1.218976 1.214763 0.006312

127 0.659939 1.227731 1.223353 0.006357

128 0.665135 1.236830 1.232280 0.006403

129 0.670332 1.246290 1.241560 0.006452

130 0.675528 1.256127 1.251208 0.006502

131 0.680724 1.266360 1.261244 0.006554

132 0.685921 1.277009 1.271685 0.006608

133 0.691117 1.288094 1.282552 0.006665

134 0.696313 1.299638 1.293866 0.006723

135 0.701510 1.311664 1.305651 0.006785

136 0.706706 1.324197 1.317931 0.006848

137 0.711903 1.337265 1.330731 0.006915

138 0.717099 1.350898 1.344082 0.006984

139 0.722295 1.365125 1.358011 0.007057

140 0.727492 1.379982 1.372554 0.007132

141 0.732688 1.395504 1.387743 0.007211

142 0.737884 1.411731 1.403618 0.007294

143 0.743081 1.428705 1.420218 0.007380

144 0.748277 1.446472 1.437589 0.007470

145 0.753473 1.465083 1.455778 0.007565

146 0.758670 1.484590 1.474836 0.007664

147 0.763866 1.505053 1.494821 0.007768

148 0.769063 1.526535 1.515794 0.007877

149 0.774259 1.549108 1.537822 0.007991

150 0.779455 1.572847 1.560977 0.008111

151 0.784652 1.597836 1.585341 0.008238

152 0.789848 1.624167 1.611002 0.008371

153 0.795044 1.651943 1.638055 0.008512

154 0.800241 1.681275 1.666609 0.008660

155 0.805437 1.712288 1.696781 0.008817

156 0.810634 1.745118 1.728703 0.008983

157 0.815830 1.779920 1.762519 0.009159

Page 225: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.821026 1.816865 1.798392 0.009345

159 0.826223 1.856143 1.836504 0.009543

160 0.831419 1.897970 1.877057 0.009754

161 0.836615 1.942589 1.920280 0.009978

162 0.841812 1.990274 1.966432 0.010218

163 0.847008 2.041336 2.015805 0.010475

164 0.852204 2.096131 2.068734 0.010750

165 0.857401 2.155066 2.125599 0.011045

166 0.862597 2.218610 2.186838 0.011364

167 0.867794 2.287306 2.252958 0.011707

168 0.872990 2.361784 2.324545 0.012079

169 0.878186 2.442783 2.402283 0.012483

170 0.883383 2.531175 2.486979 0.012923

171 0.888579 2.627992 2.579584 0.013404

172 0.893775 2.734470 2.681231 0.013933

173 0.898972 2.852098 2.793284 0.014515

174 0.904168 2.982688 2.917393 0.015160

175 0.909365 3.128469 3.055578 0.015878

176 0.914561 3.292210 3.210339 0.016682

177 0.919757 3.477399 3.384805 0.017589

178 0.924954 3.688490 3.582945 0.018618

179 0.930150 3.931262 3.809876 0.019798

180 0.935346 4.213350 4.072306 0.021161

181 0.940543 4.545062 4.379206 0.022756

182 0.945739 4.940652 4.742857 0.024646

183 0.950935 5.420413 5.180533 0.026920

184 0.956132 6.014253 5.717333 0.029709

185 0.961328 6.768154 6.391203 0.033211

186 0.966525 7.756652 7.262403 0.037738

187 0.971721 9.109066 8.432859 0.043820

188 0.976917 11.071165 10.090115 0.052432

189 0.982114 14.174319 12.622742 0.065592

190 0.987310 19.820261 16.997290 0.088324

191 0.992506 33.298802 26.559531 0.138013

192 0.997703 107.762545 70.530674 0.366503

193 1.002899 -84.713660 11.524443 0.059885

194 1.008096 -30.097946 -57.405803 -0.298302

195 1.013292 -18.186749 -24.142347 -0.125453

196 1.018488 -12.972059 -15.579404 -0.080956

197 1.023685 -10.046261 -11.509160 -0.059806

198 1.028881 -8.173875 -9.110068 -0.047339

199 1.034077 -6.873001 -7.523438 -0.039095

200 1.039274 -5.916782 -6.394891 -0.033230

Page 226: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.52550

Page 227: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.0107

N 4.0537

RESULTADO

F(u,N) -0.4765

CALCULOSxo 0 N tramos= 200xn 1.01066 0.005053C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005053 1.000000 1.000000 0.005053

2 0.010107 1.000000 1.000000 0.005053

3 0.015160 1.000000 1.000000 0.005053

4 0.020213 1.000000 1.000000 0.005053

5 0.025266 1.000000 1.000000 0.005053

6 0.030320 1.000001 1.000001 0.005053

7 0.035373 1.000001 1.000001 0.005053

8 0.040426 1.000002 1.000002 0.005053

9 0.045480 1.000004 1.000003 0.005053

10 0.050533 1.000006 1.000005 0.005053

11 0.055586 1.000008 1.000007 0.005053

12 0.060639 1.000012 1.000010 0.005053

13 0.065693 1.000016 1.000014 0.005053

14 0.070746 1.000022 1.000019 0.005053

15 0.075799 1.000029 1.000025 0.005053

16 0.080853 1.000037 1.000033 0.005053

17 0.085906 1.000048 1.000043 0.005054

18 0.090959 1.000060 1.000054 0.005054

19 0.096012 1.000075 1.000068 0.005054

20 0.101066 1.000092 1.000084 0.005054

21 0.106119 1.000112 1.000102 0.005054

22 0.111172 1.000136 1.000124 0.005054

23 0.116226 1.000163 1.000149 0.005054

24 0.121279 1.000193 1.000178 0.005054

25 0.126332 1.000228 1.000211 0.005054

26 0.131385 1.000267 1.000248 0.005055

27 0.136439 1.000311 1.000289 0.005055

28 0.141492 1.000361 1.000336 0.005055

29 0.146545 1.000416 1.000389 0.005055

9

Page 228: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.151599 1.000478 1.000447 0.005056

31 0.156652 1.000545 1.000511 0.005056

32 0.161705 1.000620 1.000583 0.005056

33 0.166758 1.000703 1.000662 0.005057

34 0.171812 1.000793 1.000748 0.005057

35 0.176865 1.000892 1.000843 0.005058

36 0.181918 1.001000 1.000946 0.005058

37 0.186972 1.001118 1.001059 0.005059

38 0.192025 1.001246 1.001182 0.005059

39 0.197078 1.001384 1.001315 0.005060

40 0.202131 1.001534 1.001459 0.005061

41 0.207185 1.001696 1.001615 0.005061

42 0.212238 1.001870 1.001783 0.005062

43 0.217291 1.002058 1.001964 0.005063

44 0.222345 1.002259 1.002159 0.005064

45 0.227398 1.002476 1.002368 0.005065

46 0.232451 1.002707 1.002591 0.005066

47 0.237504 1.002954 1.002830 0.005068

48 0.242558 1.003218 1.003086 0.005069

49 0.247611 1.003500 1.003359 0.005070

50 0.252664 1.003800 1.003650 0.005072

51 0.257718 1.004118 1.003959 0.005073

52 0.262771 1.004457 1.004288 0.005075

53 0.267824 1.004817 1.004637 0.005077

54 0.272877 1.005198 1.005007 0.005079

55 0.277931 1.005601 1.005400 0.005081

56 0.282984 1.006028 1.005815 0.005083

57 0.288037 1.006480 1.006254 0.005085

58 0.293091 1.006956 1.006718 0.005087

59 0.298144 1.007459 1.007208 0.005090

60 0.303197 1.007989 1.007724 0.005092

61 0.308250 1.008548 1.008269 0.005095

62 0.313304 1.009136 1.008842 0.005098

63 0.318357 1.009754 1.009445 0.005101

64 0.323410 1.010403 1.010079 0.005104

65 0.328464 1.011086 1.010745 0.005108

66 0.333517 1.011802 1.011444 0.005111

67 0.338570 1.012553 1.012177 0.005115

68 0.343623 1.013340 1.012947 0.005119

69 0.348677 1.014165 1.013753 0.005123

70 0.353730 1.015029 1.014597 0.005127

71 0.358783 1.015932 1.015481 0.005132

Page 229: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.363837 1.016877 1.016405 0.005136

73 0.368890 1.017865 1.017371 0.005141

74 0.373943 1.018897 1.018381 0.005146

75 0.378996 1.019975 1.019436 0.005152

76 0.384050 1.021100 1.020538 0.005157

77 0.389103 1.022274 1.021687 0.005163

78 0.394156 1.023499 1.022886 0.005169

79 0.399210 1.024775 1.024137 0.005175

80 0.404263 1.026105 1.025440 0.005182

81 0.409316 1.027490 1.026797 0.005189

82 0.414369 1.028932 1.028211 0.005196

83 0.419423 1.030434 1.029683 0.005203

84 0.424476 1.031996 1.031215 0.005211

85 0.429529 1.033622 1.032809 0.005219

86 0.434583 1.035312 1.034467 0.005227

87 0.439636 1.037069 1.036190 0.005236

88 0.444689 1.038895 1.037982 0.005245

89 0.449742 1.040792 1.039844 0.005255

90 0.454796 1.042763 1.041778 0.005264

91 0.459849 1.044810 1.043787 0.005275

92 0.464902 1.046935 1.045873 0.005285

93 0.469956 1.049141 1.048038 0.005296

94 0.475009 1.051430 1.050286 0.005307

95 0.480062 1.053806 1.052618 0.005319

96 0.485115 1.056270 1.055038 0.005331

97 0.490169 1.058826 1.057548 0.005344

98 0.495222 1.061477 1.060152 0.005357

99 0.500275 1.064226 1.062852 0.005371

100 0.505329 1.067076 1.065651 0.005385

101 0.510382 1.070030 1.068553 0.005400

102 0.515435 1.073092 1.071561 0.005415

103 0.520488 1.076266 1.074679 0.005431

104 0.525542 1.079554 1.077910 0.005447

105 0.530595 1.082962 1.081258 0.005464

106 0.535648 1.086493 1.084728 0.005481

107 0.540702 1.090151 1.088322 0.005500

108 0.545755 1.093941 1.092046 0.005518

109 0.550808 1.097867 1.095904 0.005538

110 0.555861 1.101935 1.099901 0.005558

111 0.560915 1.106148 1.104041 0.005579

112 0.565968 1.110512 1.108330 0.005601

113 0.571021 1.115034 1.112773 0.005623

114 0.576075 1.119717 1.117375 0.005646

Page 230: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.581128 1.124569 1.122143 0.005671

116 0.586181 1.129595 1.127082 0.005695

117 0.591234 1.134803 1.132199 0.005721

118 0.596288 1.140198 1.137500 0.005748

119 0.601341 1.145788 1.142993 0.005776

120 0.606394 1.151581 1.148685 0.005805

121 0.611448 1.157584 1.154583 0.005834

122 0.616501 1.163806 1.160695 0.005865

123 0.621554 1.170256 1.167031 0.005897

124 0.626607 1.176943 1.173599 0.005931

125 0.631661 1.183875 1.180409 0.005965

126 0.636714 1.191065 1.187470 0.006001

127 0.641767 1.198522 1.194794 0.006038

128 0.646821 1.206258 1.202390 0.006076

129 0.651874 1.214285 1.210272 0.006116

130 0.656927 1.222616 1.218451 0.006157

131 0.661980 1.231264 1.226940 0.006200

132 0.667034 1.240243 1.235754 0.006245

133 0.672087 1.249570 1.244907 0.006291

134 0.677140 1.259259 1.254414 0.006339

135 0.682194 1.269328 1.264294 0.006389

136 0.687247 1.279796 1.274562 0.006441

137 0.692300 1.290682 1.285239 0.006495

138 0.697353 1.302006 1.296344 0.006551

139 0.702407 1.313790 1.307898 0.006609

140 0.707460 1.326059 1.319925 0.006670

141 0.712513 1.338838 1.332449 0.006733

142 0.717567 1.352153 1.345496 0.006799

143 0.722620 1.366035 1.359094 0.006868

144 0.727673 1.380513 1.373274 0.006940

145 0.732726 1.395622 1.388067 0.007014

146 0.737780 1.411397 1.403509 0.007092

147 0.742833 1.427879 1.419638 0.007174

148 0.747886 1.445108 1.436493 0.007259

149 0.752940 1.463130 1.454119 0.007348

150 0.757993 1.481996 1.472563 0.007441

151 0.763046 1.501757 1.491877 0.007539

152 0.768099 1.522474 1.512116 0.007641

153 0.773153 1.544208 1.533341 0.007748

154 0.778206 1.567029 1.555618 0.007861

155 0.783259 1.591012 1.579020 0.007979

156 0.788313 1.616241 1.603627 0.008104

157 0.793366 1.642807 1.629524 0.008234

Page 231: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.798419 1.670808 1.656807 0.008372

159 0.803472 1.700356 1.685582 0.008518

160 0.808526 1.731573 1.715965 0.008671

161 0.813579 1.764593 1.748083 0.008834

162 0.818632 1.799567 1.782080 0.009005

163 0.823686 1.836662 1.818114 0.009187

164 0.828739 1.876065 1.856363 0.009381

165 0.833792 1.917986 1.897025 0.009586

166 0.838845 1.962661 1.940323 0.009805

167 0.843899 2.010357 1.986509 0.010038

168 0.848952 2.061377 2.035867 0.010288

169 0.854005 2.116065 2.088721 0.010555

170 0.859059 2.174814 2.145439 0.010842

171 0.864112 2.238076 2.206445 0.011150

172 0.869165 2.306375 2.272226 0.011482

173 0.874218 2.380315 2.343345 0.011842

174 0.879272 2.460605 2.420460 0.012231

175 0.884325 2.548075 2.504340 0.012655

176 0.889378 2.643708 2.595891 0.013118

177 0.894432 2.748675 2.696191 0.013625

178 0.899485 2.864384 2.806529 0.014182

179 0.904538 2.992538 2.928461 0.014798

180 0.909591 3.135223 3.063880 0.015483

181 0.914645 3.295018 3.215120 0.016247

182 0.919698 3.475153 3.385086 0.017106

183 0.924751 3.679722 3.577438 0.018078

184 0.929805 3.914003 3.796863 0.019187

185 0.934858 4.184906 4.049454 0.020463

186 0.939911 4.501669 4.343287 0.021948

187 0.944964 4.876923 4.689296 0.023696

188 0.950018 5.328405 5.102664 0.025785

189 0.955071 5.881835 5.605120 0.028324

190 0.960124 6.575966 6.228900 0.031476

191 0.965178 7.472049 7.024007 0.035494

192 0.970231 8.672925 8.072487 0.040793

193 0.975284 10.365537 9.519231 0.048103

194 0.980337 12.929009 11.647273 0.058857

195 0.985391 17.267016 15.098012 0.076295

196 0.990444 26.194722 21.730869 0.109812

197 0.995497 55.164994 40.679858 0.205567

198 1.000551 -447.639022 -196.237014 -0.991642

199 1.005604 -43.645657 -245.642339 -1.241301

200 1.010657 -22.774174 -33.209916 -0.167819

Page 232: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = -0.47654

Page 233: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 0.0000

N 4.0537

RESULTADO

F(u,N) 0.0000

CALCULOSxo 0 N tramos= 200xn 0.00000 0.000000C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.000000 1.000000 1.000000 0.000000

2 0.000000 1.000000 1.000000 0.000000

3 0.000000 1.000000 1.000000 0.000000

4 0.000000 1.000000 1.000000 0.000000

5 0.000000 1.000000 1.000000 0.000000

6 0.000000 1.000000 1.000000 0.000000

7 0.000000 1.000000 1.000000 0.000000

8 0.000000 1.000000 1.000000 0.000000

9 0.000000 1.000000 1.000000 0.000000

10 0.000000 1.000000 1.000000 0.000000

11 0.000000 1.000000 1.000000 0.000000

12 0.000000 1.000000 1.000000 0.000000

13 0.000000 1.000000 1.000000 0.000000

14 0.000000 1.000000 1.000000 0.000000

15 0.000000 1.000000 1.000000 0.000000

16 0.000000 1.000000 1.000000 0.000000

17 0.000000 1.000000 1.000000 0.000000

18 0.000000 1.000000 1.000000 0.000000

19 0.000000 1.000000 1.000000 0.000000

20 0.000000 1.000000 1.000000 0.000000

21 0.000000 1.000000 1.000000 0.000000

22 0.000000 1.000000 1.000000 0.000000

23 0.000000 1.000000 1.000000 0.000000

24 0.000000 1.000000 1.000000 0.000000

25 0.000000 1.000000 1.000000 0.000000

26 0.000000 1.000000 1.000000 0.000000

27 0.000000 1.000000 1.000000 0.000000

28 0.000000 1.000000 1.000000 0.000000

29 0.000000 1.000000 1.000000 0.000000

10

Page 234: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.000000 1.000000 1.000000 0.000000

31 0.000000 1.000000 1.000000 0.000000

32 0.000000 1.000000 1.000000 0.000000

33 0.000000 1.000000 1.000000 0.000000

34 0.000000 1.000000 1.000000 0.000000

35 0.000000 1.000000 1.000000 0.000000

36 0.000000 1.000000 1.000000 0.000000

37 0.000000 1.000000 1.000000 0.000000

38 0.000000 1.000000 1.000000 0.000000

39 0.000000 1.000000 1.000000 0.000000

40 0.000000 1.000000 1.000000 0.000000

41 0.000000 1.000000 1.000000 0.000000

42 0.000000 1.000000 1.000000 0.000000

43 0.000000 1.000000 1.000000 0.000000

44 0.000000 1.000000 1.000000 0.000000

45 0.000000 1.000000 1.000000 0.000000

46 0.000000 1.000000 1.000000 0.000000

47 0.000000 1.000000 1.000000 0.000000

48 0.000000 1.000000 1.000000 0.000000

49 0.000000 1.000000 1.000000 0.000000

50 0.000000 1.000000 1.000000 0.000000

51 0.000000 1.000000 1.000000 0.000000

52 0.000000 1.000000 1.000000 0.000000

53 0.000000 1.000000 1.000000 0.000000

54 0.000000 1.000000 1.000000 0.000000

55 0.000000 1.000000 1.000000 0.000000

56 0.000000 1.000000 1.000000 0.000000

57 0.000000 1.000000 1.000000 0.000000

58 0.000000 1.000000 1.000000 0.000000

59 0.000000 1.000000 1.000000 0.000000

60 0.000000 1.000000 1.000000 0.000000

61 0.000000 1.000000 1.000000 0.000000

62 0.000000 1.000000 1.000000 0.000000

63 0.000000 1.000000 1.000000 0.000000

64 0.000000 1.000000 1.000000 0.000000

65 0.000000 1.000000 1.000000 0.000000

66 0.000000 1.000000 1.000000 0.000000

67 0.000000 1.000000 1.000000 0.000000

68 0.000000 1.000000 1.000000 0.000000

69 0.000000 1.000000 1.000000 0.000000

70 0.000000 1.000000 1.000000 0.000000

71 0.000000 1.000000 1.000000 0.000000

Page 235: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.000000 1.000000 1.000000 0.000000

73 0.000000 1.000000 1.000000 0.000000

74 0.000000 1.000000 1.000000 0.000000

75 0.000000 1.000000 1.000000 0.000000

76 0.000000 1.000000 1.000000 0.000000

77 0.000000 1.000000 1.000000 0.000000

78 0.000000 1.000000 1.000000 0.000000

79 0.000000 1.000000 1.000000 0.000000

80 0.000000 1.000000 1.000000 0.000000

81 0.000000 1.000000 1.000000 0.000000

82 0.000000 1.000000 1.000000 0.000000

83 0.000000 1.000000 1.000000 0.000000

84 0.000000 1.000000 1.000000 0.000000

85 0.000000 1.000000 1.000000 0.000000

86 0.000000 1.000000 1.000000 0.000000

87 0.000000 1.000000 1.000000 0.000000

88 0.000000 1.000000 1.000000 0.000000

89 0.000000 1.000000 1.000000 0.000000

90 0.000000 1.000000 1.000000 0.000000

91 0.000000 1.000000 1.000000 0.000000

92 0.000000 1.000000 1.000000 0.000000

93 0.000000 1.000000 1.000000 0.000000

94 0.000000 1.000000 1.000000 0.000000

95 0.000000 1.000000 1.000000 0.000000

96 0.000000 1.000000 1.000000 0.000000

97 0.000000 1.000000 1.000000 0.000000

98 0.000000 1.000000 1.000000 0.000000

99 0.000000 1.000000 1.000000 0.000000

100 0.000000 1.000000 1.000000 0.000000

101 0.000000 1.000000 1.000000 0.000000

102 0.000000 1.000000 1.000000 0.000000

103 0.000000 1.000000 1.000000 0.000000

104 0.000000 1.000000 1.000000 0.000000

105 0.000000 1.000000 1.000000 0.000000

106 0.000000 1.000000 1.000000 0.000000

107 0.000000 1.000000 1.000000 0.000000

108 0.000000 1.000000 1.000000 0.000000

109 0.000000 1.000000 1.000000 0.000000

110 0.000000 1.000000 1.000000 0.000000

111 0.000000 1.000000 1.000000 0.000000

112 0.000000 1.000000 1.000000 0.000000

113 0.000000 1.000000 1.000000 0.000000

114 0.000000 1.000000 1.000000 0.000000

Page 236: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.000000 1.000000 1.000000 0.000000

116 0.000000 1.000000 1.000000 0.000000

117 0.000000 1.000000 1.000000 0.000000

118 0.000000 1.000000 1.000000 0.000000

119 0.000000 1.000000 1.000000 0.000000

120 0.000000 1.000000 1.000000 0.000000

121 0.000000 1.000000 1.000000 0.000000

122 0.000000 1.000000 1.000000 0.000000

123 0.000000 1.000000 1.000000 0.000000

124 0.000000 1.000000 1.000000 0.000000

125 0.000000 1.000000 1.000000 0.000000

126 0.000000 1.000000 1.000000 0.000000

127 0.000000 1.000000 1.000000 0.000000

128 0.000000 1.000000 1.000000 0.000000

129 0.000000 1.000000 1.000000 0.000000

130 0.000000 1.000000 1.000000 0.000000

131 0.000000 1.000000 1.000000 0.000000

132 0.000000 1.000000 1.000000 0.000000

133 0.000000 1.000000 1.000000 0.000000

134 0.000000 1.000000 1.000000 0.000000

135 0.000000 1.000000 1.000000 0.000000

136 0.000000 1.000000 1.000000 0.000000

137 0.000000 1.000000 1.000000 0.000000

138 0.000000 1.000000 1.000000 0.000000

139 0.000000 1.000000 1.000000 0.000000

140 0.000000 1.000000 1.000000 0.000000

141 0.000000 1.000000 1.000000 0.000000

142 0.000000 1.000000 1.000000 0.000000

143 0.000000 1.000000 1.000000 0.000000

144 0.000000 1.000000 1.000000 0.000000

145 0.000000 1.000000 1.000000 0.000000

146 0.000000 1.000000 1.000000 0.000000

147 0.000000 1.000000 1.000000 0.000000

148 0.000000 1.000000 1.000000 0.000000

149 0.000000 1.000000 1.000000 0.000000

150 0.000000 1.000000 1.000000 0.000000

151 0.000000 1.000000 1.000000 0.000000

152 0.000000 1.000000 1.000000 0.000000

153 0.000000 1.000000 1.000000 0.000000

154 0.000000 1.000000 1.000000 0.000000

155 0.000000 1.000000 1.000000 0.000000

156 0.000000 1.000000 1.000000 0.000000

157 0.000000 1.000000 1.000000 0.000000

Page 237: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.000000 1.000000 1.000000 0.000000

159 0.000000 1.000000 1.000000 0.000000

160 0.000000 1.000000 1.000000 0.000000

161 0.000000 1.000000 1.000000 0.000000

162 0.000000 1.000000 1.000000 0.000000

163 0.000000 1.000000 1.000000 0.000000

164 0.000000 1.000000 1.000000 0.000000

165 0.000000 1.000000 1.000000 0.000000

166 0.000000 1.000000 1.000000 0.000000

167 0.000000 1.000000 1.000000 0.000000

168 0.000000 1.000000 1.000000 0.000000

169 0.000000 1.000000 1.000000 0.000000

170 0.000000 1.000000 1.000000 0.000000

171 0.000000 1.000000 1.000000 0.000000

172 0.000000 1.000000 1.000000 0.000000

173 0.000000 1.000000 1.000000 0.000000

174 0.000000 1.000000 1.000000 0.000000

175 0.000000 1.000000 1.000000 0.000000

176 0.000000 1.000000 1.000000 0.000000

177 0.000000 1.000000 1.000000 0.000000

178 0.000000 1.000000 1.000000 0.000000

179 0.000000 1.000000 1.000000 0.000000

180 0.000000 1.000000 1.000000 0.000000

181 0.000000 1.000000 1.000000 0.000000

182 0.000000 1.000000 1.000000 0.000000

183 0.000000 1.000000 1.000000 0.000000

184 0.000000 1.000000 1.000000 0.000000

185 0.000000 1.000000 1.000000 0.000000

186 0.000000 1.000000 1.000000 0.000000

187 0.000000 1.000000 1.000000 0.000000

188 0.000000 1.000000 1.000000 0.000000

189 0.000000 1.000000 1.000000 0.000000

190 0.000000 1.000000 1.000000 0.000000

191 0.000000 1.000000 1.000000 0.000000

192 0.000000 1.000000 1.000000 0.000000

193 0.000000 1.000000 1.000000 0.000000

194 0.000000 1.000000 1.000000 0.000000

195 0.000000 1.000000 1.000000 0.000000

196 0.000000 1.000000 1.000000 0.000000

197 0.000000 1.000000 1.000000 0.000000

198 0.000000 1.000000 1.000000 0.000000

199 0.000000 1.000000 1.000000 0.000000

200 0.000000 1.000000 1.000000 0.000000

Page 238: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 0.00000

Page 239: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.3252

N 3.4210

RESULTADO

F(u,N) -2.7856

CALCULOSxo 0 N tramos= 200

xn 1.32518 0.006626

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006626 1.000000 1.000000 0.006626

2 0.013252 1.000000 1.000000 0.006626

3 0.019878 1.000002 1.000001 0.006626

4 0.026504 1.000004 1.000003 0.006626

5 0.033129 1.000009 1.000006 0.006626

6 0.039755 1.000016 1.000012 0.006626

7 0.046381 1.000027 1.000022 0.006626

8 0.053007 1.000043 1.000035 0.006626

9 0.059633 1.000065 1.000054 0.006626

10 0.066259 1.000093 1.000079 0.006626

11 0.072885 1.000129 1.000111 0.006627

12 0.079511 1.000173 1.000151 0.006627

13 0.086136 1.000228 1.000200 0.006627

14 0.092762 1.000293 1.000261 0.006628

15 0.099388 1.000372 1.000332 0.006628

16 0.106014 1.000463 1.000417 0.006629

17 0.112640 1.000570 1.000517 0.006629

18 0.119266 1.000693 1.000632 0.006630

19 0.125892 1.000834 1.000764 0.006631

20 0.132518 1.000995 1.000915 0.006632

21 0.139143 1.001176 1.001085 0.006633

22 0.145769 1.001379 1.001277 0.006634

23 0.152395 1.001605 1.001492 0.006636

24 0.159021 1.001858 1.001732 0.006637

0

CÁLCULO DE F(v,J)CÁLCULO DE F(v,J)

Page 240: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

25 0.165647 1.002137 1.001997 0.006639

26 0.172273 1.002444 1.002290 0.006641

27 0.178899 1.002782 1.002613 0.006643

28 0.185525 1.003152 1.002967 0.006646

29 0.192150 1.003555 1.003353 0.006648

30 0.198776 1.003994 1.003775 0.006651

31 0.205402 1.004470 1.004232 0.006654

32 0.212028 1.004986 1.004728 0.006657

33 0.218654 1.005542 1.005264 0.006661

34 0.225280 1.006142 1.005842 0.006665

35 0.231906 1.006786 1.006464 0.006669

36 0.238532 1.007478 1.007132 0.006673

37 0.245158 1.008219 1.007849 0.006678

38 0.251783 1.009011 1.008615 0.006683

39 0.258409 1.009857 1.009434 0.006688

40 0.265035 1.010758 1.010308 0.006694

41 0.271661 1.011718 1.011238 0.006700

42 0.278287 1.012738 1.012228 0.006707

43 0.284913 1.013820 1.013279 0.006714

44 0.291539 1.014968 1.014394 0.006721

45 0.298165 1.016183 1.015575 0.006729

46 0.304790 1.017469 1.016826 0.006737

47 0.311416 1.018828 1.018148 0.006746

48 0.318042 1.020262 1.019545 0.006755

49 0.324668 1.021776 1.021019 0.006765

50 0.331294 1.023370 1.022573 0.006775

51 0.337920 1.025049 1.024210 0.006786

52 0.344546 1.026816 1.025933 0.006798

53 0.351172 1.028674 1.027745 0.006810

54 0.357797 1.030625 1.029649 0.006822

55 0.364423 1.032674 1.031649 0.006836

56 0.371049 1.034824 1.033749 0.006849

57 0.377675 1.037078 1.035951 0.006864

58 0.384301 1.039441 1.038259 0.006879

59 0.390927 1.041916 1.040678 0.006895

60 0.397553 1.044507 1.043211 0.006912

61 0.404179 1.047218 1.045862 0.006930

62 0.410805 1.050054 1.048636 0.006948

63 0.417430 1.053020 1.051537 0.006967

64 0.424056 1.056120 1.054570 0.006987

65 0.430682 1.059358 1.057739 0.007008

66 0.437308 1.062740 1.061049 0.007030

Page 241: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

67 0.443934 1.066272 1.064506 0.007053

68 0.450560 1.069958 1.068115 0.007077

69 0.457186 1.073806 1.071882 0.007102

70 0.463812 1.077819 1.075812 0.007128

71 0.470437 1.082006 1.079913 0.007155

72 0.477063 1.086372 1.084189 0.007184

73 0.483689 1.090925 1.088649 0.007213

74 0.490315 1.095672 1.093298 0.007244

75 0.496941 1.100620 1.098146 0.007276

76 0.503567 1.105777 1.103199 0.007310

77 0.510193 1.111153 1.108465 0.007345

78 0.516819 1.116755 1.113954 0.007381

79 0.523444 1.122594 1.119674 0.007419

80 0.530070 1.128678 1.125636 0.007458

81 0.536696 1.135019 1.131848 0.007499

82 0.543322 1.141627 1.138323 0.007542

83 0.549948 1.148514 1.145070 0.007587

84 0.556574 1.155692 1.152103 0.007634

85 0.563200 1.163174 1.159433 0.007682

86 0.569826 1.170974 1.167074 0.007733

87 0.576451 1.179107 1.175041 0.007786

88 0.583077 1.187588 1.183348 0.007841

89 0.589703 1.196434 1.192011 0.007898

90 0.596329 1.205662 1.201048 0.007958

91 0.602955 1.215291 1.210477 0.008020

92 0.609581 1.225341 1.220316 0.008086

93 0.616207 1.235834 1.230587 0.008154

94 0.622833 1.246791 1.241313 0.008225

95 0.629459 1.258239 1.252515 0.008299

96 0.636084 1.270202 1.264221 0.008377

97 0.642710 1.282710 1.276456 0.008458

98 0.649336 1.295792 1.289251 0.008542

99 0.655962 1.309481 1.302636 0.008631

100 0.662588 1.323812 1.316647 0.008724

101 0.669214 1.338824 1.331318 0.008821

102 0.675840 1.354557 1.346690 0.008923

103 0.682466 1.371055 1.362806 0.009030

104 0.689091 1.388368 1.379712 0.009142

105 0.695717 1.406547 1.397457 0.009259

106 0.702343 1.425649 1.416098 0.009383

107 0.708969 1.445738 1.435694 0.009513

108 0.715595 1.466880 1.456309 0.009649

109 0.722221 1.489151 1.478016 0.009793

Page 242: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

110 0.728847 1.512633 1.500892 0.009945

111 0.735473 1.537415 1.525024 0.010105

112 0.742098 1.563597 1.550506 0.010273

113 0.748724 1.591288 1.577443 0.010452

114 0.755350 1.620611 1.605950 0.010641

115 0.761976 1.651700 1.636156 0.010841

116 0.768602 1.684707 1.668204 0.011053

117 0.775228 1.719799 1.702253 0.011279

118 0.781854 1.757166 1.738482 0.011519

119 0.788480 1.797019 1.777092 0.011775

120 0.795106 1.839600 1.818310 0.012048

121 0.801731 1.885181 1.862391 0.012340

122 0.808357 1.934071 1.909626 0.012653

123 0.814983 1.986624 1.960347 0.012989

124 0.821609 2.043247 2.014935 0.013351

125 0.828235 2.104410 2.073828 0.013741

126 0.834861 2.170658 2.137534 0.014163

127 0.841487 2.242626 2.206642 0.014621

128 0.848113 2.321062 2.281844 0.015119

129 0.854738 2.406850 2.363956 0.015663

130 0.861364 2.501040 2.453945 0.016260

131 0.867990 2.604898 2.552969 0.016916

132 0.874616 2.719953 2.662425 0.017641

133 0.881242 2.848077 2.784015 0.018447

134 0.887868 2.991585 2.919831 0.019346

135 0.894494 3.153374 3.072479 0.020358

136 0.901120 3.337114 3.245244 0.021503

137 0.907745 3.547534 3.442324 0.022808

138 0.914371 3.790825 3.669180 0.024312

139 0.920997 4.075253 3.933039 0.026060

140 0.927623 4.412113 4.243683 0.028118

141 0.934249 4.817252 4.614682 0.030576

142 0.940875 5.313622 5.065437 0.033563

143 0.947501 5.935760 5.624691 0.037269

144 0.954127 6.738160 6.336960 0.041988

145 0.960752 7.812110 7.275135 0.048204

146 0.967378 9.323070 8.567590 0.056768

147 0.974004 11.605191 10.464131 0.069334

148 0.980630 15.449837 13.527514 0.089632

149 0.987256 23.294160 19.371998 0.128357

150 0.993882 48.132976 35.713568 0.236634

151 1.000508 -575.333187 -263.600106 -1.746582

152 1.007134 -40.624138 -307.978663 -2.040629

Page 243: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

153 1.013760 -20.893837 -30.758988 -0.203805

154 1.020385 -13.990544 -17.442191 -0.115570

155 1.027011 -10.474836 -12.232690 -0.081052

156 1.033637 -8.344836 -9.409836 -0.062348

157 1.040263 -6.916422 -7.630629 -0.050560

158 1.046889 -5.892167 -6.404295 -0.042434

159 1.053515 -5.121944 -5.507056 -0.036489

160 1.060141 -4.521788 -4.821866 -0.031949

161 1.066767 -4.041063 -4.281426 -0.028368

162 1.073392 -3.647420 -3.844242 -0.025471

163 1.080018 -3.319223 -3.483322 -0.023080

164 1.086644 -3.041457 -3.180340 -0.021073

165 1.093270 -2.803370 -2.922413 -0.019364

166 1.099896 -2.597065 -2.700217 -0.017891

167 1.106522 -2.416610 -2.506837 -0.016610

168 1.113148 -2.257461 -2.337035 -0.015485

169 1.119774 -2.116081 -2.186771 -0.014489

170 1.126399 -1.989674 -2.052878 -0.013602

171 1.133025 -1.876002 -1.932838 -0.012807

172 1.139651 -1.773249 -1.824625 -0.012090

173 1.146277 -1.679931 -1.726590 -0.011440

174 1.152903 -1.594821 -1.637376 -0.010849

175 1.159529 -1.516893 -1.555857 -0.010309

176 1.166155 -1.445289 -1.481091 -0.009814

177 1.172781 -1.379278 -1.412283 -0.009358

178 1.179406 -1.318241 -1.348760 -0.008937

179 1.186032 -1.261645 -1.289943 -0.008547

180 1.192658 -1.209031 -1.235338 -0.008185

181 1.199284 -1.160001 -1.184516 -0.007848

182 1.205910 -1.114208 -1.137104 -0.007534

183 1.212536 -1.071348 -1.092778 -0.007241

184 1.219162 -1.031154 -1.051251 -0.006965

185 1.225788 -0.993392 -1.012273 -0.006707

186 1.232414 -0.957852 -0.975622 -0.006464

187 1.239039 -0.924349 -0.941100 -0.006236

188 1.245665 -0.892717 -0.908533 -0.006020

189 1.252291 -0.862809 -0.877763 -0.005816

190 1.258917 -0.834490 -0.848649 -0.005623

191 1.265543 -0.807643 -0.821067 -0.005440

192 1.272169 -0.782158 -0.794900 -0.005267

193 1.278795 -0.757938 -0.770048 -0.005102

194 1.285421 -0.734894 -0.746416 -0.004946

195 1.292046 -0.712946 -0.723920 -0.004797

Page 244: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

196 1.298672 -0.692021 -0.702484 -0.004655

197 1.305298 -0.672050 -0.682035 -0.004519

198 1.311924 -0.652973 -0.662512 -0.004390

199 1.318550 -0.634734 -0.643854 -0.004266

200 1.325176 -0.617281 -0.626008 -0.004148

INTEGRAL = -2.78562

Page 245: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.2898

N 3.4210

RESULTADO

F(u,N) 5.7423

CALCULOSxo 0 N tramos= 200

xn 1.28982 0.006449

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006449 1.000000 1.000000 0.006449

2 0.012898 1.000000 1.000000 0.006449

3 0.019347 1.000001 1.000001 0.006449

4 0.025796 1.000004 1.000003 0.006449

5 0.032245 1.000008 1.000006 0.006449

6 0.038695 1.000015 1.000011 0.006449

7 0.045144 1.000025 1.000020 0.006449

8 0.051593 1.000039 1.000032 0.006449

9 0.058042 1.000059 1.000049 0.006449

10 0.064491 1.000085 1.000072 0.006450

11 0.070940 1.000117 1.000101 0.006450

12 0.077389 1.000158 1.000138 0.006450

13 0.083838 1.000208 1.000183 0.006450

14 0.090287 1.000267 1.000238 0.006451

15 0.096736 1.000339 1.000303 0.006451

16 0.103185 1.000422 1.000381 0.006452

17 0.109635 1.000520 1.000471 0.006452

18 0.116084 1.000632 1.000576 0.006453

19 0.122533 1.000761 1.000696 0.006454

20 0.128982 1.000907 1.000834 0.006454

21 0.135431 1.001072 1.000989 0.006455

22 0.141880 1.001257 1.001164 0.006457

23 0.148329 1.001463 1.001360 0.006458

24 0.154778 1.001693 1.001578 0.006459

1

CÁLCULO DE F(v,J)CÁLCULO DE F(v,J)

Page 246: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

25 0.161227 1.001947 1.001820 0.006461

26 0.167676 1.002228 1.002088 0.006463

27 0.174125 1.002535 1.002382 0.006464

28 0.180575 1.002872 1.002704 0.006467

29 0.187024 1.003240 1.003056 0.006469

30 0.193473 1.003640 1.003440 0.006471

31 0.199922 1.004074 1.003857 0.006474

32 0.206371 1.004543 1.004308 0.006477

33 0.212820 1.005050 1.004797 0.006480

34 0.219269 1.005596 1.005323 0.006483

35 0.225718 1.006183 1.005890 0.006487

36 0.232167 1.006813 1.006498 0.006491

37 0.238616 1.007487 1.007150 0.006495

38 0.245065 1.008208 1.007848 0.006500

39 0.251515 1.008978 1.008593 0.006505

40 0.257964 1.009798 1.009388 0.006510

41 0.264413 1.010671 1.010235 0.006515

42 0.270862 1.011599 1.011135 0.006521

43 0.277311 1.012583 1.012091 0.006527

44 0.283760 1.013627 1.013105 0.006534

45 0.290209 1.014732 1.014180 0.006541

46 0.296658 1.015901 1.015316 0.006548

47 0.303107 1.017136 1.016518 0.006556

48 0.309556 1.018439 1.017787 0.006564

49 0.316005 1.019813 1.019126 0.006572

50 0.322455 1.021261 1.020537 0.006582

51 0.328904 1.022785 1.022023 0.006591

52 0.335353 1.024389 1.023587 0.006601

53 0.341802 1.026074 1.025231 0.006612

54 0.348251 1.027843 1.026959 0.006623

55 0.354700 1.029701 1.028772 0.006635

56 0.361149 1.031649 1.030675 0.006647

57 0.367598 1.033691 1.032670 0.006660

58 0.374047 1.035831 1.034761 0.006673

59 0.380496 1.038071 1.036951 0.006687

60 0.386945 1.040415 1.039243 0.006702

61 0.393395 1.042867 1.041641 0.006718

62 0.399844 1.045430 1.044149 0.006734

63 0.406293 1.048109 1.046770 0.006751

64 0.412742 1.050908 1.049509 0.006768

65 0.419191 1.053830 1.052369 0.006787

66 0.425640 1.056881 1.055356 0.006806

Page 247: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

67 0.432089 1.060064 1.058472 0.006826

68 0.438538 1.063385 1.061724 0.006847

69 0.444987 1.066848 1.065116 0.006869

70 0.451436 1.070458 1.068653 0.006892

71 0.457885 1.074221 1.072340 0.006916

72 0.464335 1.078143 1.076182 0.006940

73 0.470784 1.082230 1.080186 0.006966

74 0.477233 1.086486 1.084358 0.006993

75 0.483682 1.090920 1.088703 0.007021

76 0.490131 1.095537 1.093229 0.007050

77 0.496580 1.100345 1.097941 0.007081

78 0.503029 1.105351 1.102848 0.007112

79 0.509478 1.110563 1.107957 0.007145

80 0.515927 1.115988 1.113275 0.007180

81 0.522376 1.121636 1.118812 0.007215

82 0.528825 1.127516 1.124576 0.007252

83 0.535275 1.133636 1.130576 0.007291

84 0.541724 1.140007 1.136822 0.007331

85 0.548173 1.146640 1.143324 0.007373

86 0.554622 1.153546 1.150093 0.007417

87 0.561071 1.160736 1.157141 0.007463

88 0.567520 1.168223 1.164480 0.007510

89 0.573969 1.176020 1.172122 0.007559

90 0.580418 1.184142 1.180081 0.007610

91 0.586867 1.192602 1.188372 0.007664

92 0.593316 1.201418 1.197010 0.007720

93 0.599765 1.210605 1.206011 0.007778

94 0.606215 1.220181 1.215393 0.007838

95 0.612664 1.230167 1.225174 0.007901

96 0.619113 1.240581 1.235374 0.007967

97 0.625562 1.251446 1.246013 0.008036

98 0.632011 1.262785 1.257115 0.008107

99 0.638460 1.274623 1.268704 0.008182

100 0.644909 1.286986 1.280804 0.008260

101 0.651358 1.299903 1.293445 0.008342

102 0.657807 1.313406 1.306655 0.008427

103 0.664256 1.327527 1.320466 0.008516

104 0.670705 1.342301 1.334914 0.008609

105 0.677155 1.357768 1.350035 0.008706

106 0.683604 1.373970 1.365869 0.008809

107 0.690053 1.390950 1.382460 0.008916

108 0.696502 1.408759 1.399855 0.009028

109 0.702951 1.427450 1.418105 0.009145

Page 248: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

110 0.709400 1.447080 1.437265 0.009269

111 0.715849 1.467713 1.457397 0.009399

112 0.722298 1.489418 1.478566 0.009535

113 0.728747 1.512271 1.500845 0.009679

114 0.735196 1.536355 1.524313 0.009830

115 0.741645 1.561760 1.549057 0.009990

116 0.748095 1.588588 1.575174 0.010158

117 0.754544 1.616950 1.602769 0.010336

118 0.760993 1.646969 1.631959 0.010525

119 0.767442 1.678782 1.662875 0.010724

120 0.773891 1.712541 1.695662 0.010935

121 0.780340 1.748418 1.730479 0.011160

122 0.786789 1.786602 1.767510 0.011399

123 0.793238 1.827309 1.806955 0.011653

124 0.799687 1.870781 1.849045 0.011925

125 0.806136 1.917294 1.894038 0.012215

126 0.812585 1.967159 1.942226 0.012526

127 0.819035 2.020734 1.993946 0.012859

128 0.825484 2.078429 2.049581 0.013218

129 0.831933 2.140717 2.109573 0.013605

130 0.838382 2.208145 2.174431 0.014023

131 0.844831 2.281355 2.244750 0.014477

132 0.851280 2.361095 2.321225 0.014970

133 0.857729 2.448253 2.404674 0.015508

134 0.864178 2.543884 2.496069 0.016097

135 0.870627 2.649252 2.596568 0.016746

136 0.877076 2.765889 2.707571 0.017461

137 0.883525 2.895665 2.830777 0.018256

138 0.889975 3.040887 2.968276 0.019143

139 0.896424 3.204439 3.122663 0.020138

140 0.902873 3.389970 3.297205 0.021264

141 0.909322 3.602166 3.496068 0.022546

142 0.915771 3.847151 3.724659 0.024021

143 0.922220 4.133076 3.990113 0.025733

144 0.928669 4.471043 4.302060 0.027744

145 0.935118 4.876568 4.673806 0.030142

146 0.941567 5.372015 5.124292 0.033047

147 0.948016 5.990847 5.681431 0.036640

148 0.954465 6.785485 6.388166 0.041198

149 0.960915 7.842946 7.314215 0.047170

150 0.967364 9.319029 8.580988 0.055340

151 0.973813 11.523006 10.421018 0.067206

152 0.980262 15.168343 13.345675 0.086067

Page 249: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

153 0.986711 22.353466 18.760905 0.120991

154 0.993160 43.090785 32.722126 0.211028

155 0.999609 748.104350 395.597568 2.551245

156 1.006058 -47.898048 350.103151 2.257847

157 1.012507 -23.020517 -35.459282 -0.228680

158 1.018956 -15.071145 -19.045831 -0.122828

159 1.025405 -11.158448 -13.114796 -0.084579

160 1.031855 -8.830691 -9.994570 -0.064456

161 1.038304 -7.287312 -8.059002 -0.051973

162 1.044753 -6.189208 -6.738260 -0.043456

163 1.051202 -5.368121 -5.778664 -0.037267

164 1.057651 -4.731083 -5.049602 -0.032565

165 1.064100 -4.222540 -4.476812 -0.028871

166 1.070549 -3.807251 -4.014895 -0.025892

167 1.076998 -3.461780 -3.634515 -0.023439

168 1.083447 -3.169939 -3.315860 -0.021384

169 1.089896 -2.920183 -3.045061 -0.019638

170 1.096345 -2.704060 -2.812122 -0.018136

171 1.102795 -2.515236 -2.609648 -0.016830

172 1.109244 -2.348876 -2.432056 -0.015685

173 1.115693 -2.201222 -2.275049 -0.014672

174 1.122142 -2.069308 -2.135265 -0.013771

175 1.128591 -1.950766 -2.010037 -0.012963

176 1.135040 -1.843678 -1.897222 -0.012235

177 1.141489 -1.746476 -1.795077 -0.011577

178 1.147938 -1.657867 -1.702171 -0.010977

179 1.154387 -1.576772 -1.617320 -0.010430

180 1.160836 -1.502287 -1.539530 -0.009929

181 1.167285 -1.433646 -1.467967 -0.009467

182 1.173735 -1.370198 -1.401922 -0.009041

183 1.180184 -1.311383 -1.340790 -0.008647

184 1.186633 -1.256720 -1.284052 -0.008281

185 1.193082 -1.205794 -1.231257 -0.007940

186 1.199531 -1.158239 -1.182017 -0.007623

187 1.205980 -1.113740 -1.135990 -0.007326

188 1.212429 -1.072017 -1.092878 -0.007048

189 1.218878 -1.032823 -1.052420 -0.006787

190 1.225327 -0.995942 -1.014382 -0.006542

191 1.231776 -0.961178 -0.978560 -0.006311

192 1.238225 -0.928361 -0.944769 -0.006093

193 1.244675 -0.897334 -0.912847 -0.005887

194 1.251124 -0.867960 -0.882647 -0.005692

195 1.257573 -0.840113 -0.854036 -0.005508

Page 250: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

196 1.264022 -0.813682 -0.826898 -0.005333

197 1.270471 -0.788564 -0.801123 -0.005167

198 1.276920 -0.764668 -0.776616 -0.005008

199 1.283369 -0.741908 -0.753288 -0.004858

200 1.289818 -0.720210 -0.731059 -0.004715

INTEGRAL = 5.74228

Page 251: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.2546

N 3.4210

RESULTADO

F(u,N) 1.2667

CALCULOSxo 0 N tramos= 200xn 1.25461 0.006273C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006273 1.000000 1.000000 0.006273

2 0.012546 1.000000 1.000000 0.006273

3 0.018819 1.000001 1.000001 0.006273

4 0.025092 1.000003 1.000002 0.006273

5 0.031365 1.000007 1.000005 0.006273

6 0.037638 1.000013 1.000010 0.006273

7 0.043911 1.000023 1.000018 0.006273

8 0.050184 1.000036 1.000029 0.006273

9 0.056458 1.000054 1.000045 0.006273

10 0.062731 1.000077 1.000065 0.006273

11 0.069004 1.000107 1.000092 0.006274

12 0.075277 1.000144 1.000125 0.006274

13 0.081550 1.000189 1.000166 0.006274

14 0.087823 1.000243 1.000216 0.006274

15 0.094096 1.000308 1.000276 0.006275

16 0.100369 1.000384 1.000346 0.006275

17 0.106642 1.000473 1.000429 0.006276

18 0.112915 1.000575 1.000524 0.006276

19 0.119188 1.000692 1.000633 0.006277

20 0.125461 1.000825 1.000758 0.006278

21 0.131734 1.000975 1.000900 0.006279

22 0.138007 1.001143 1.001059 0.006280

23 0.144280 1.001331 1.001237 0.006281

24 0.150553 1.001540 1.001436 0.006282

25 0.156826 1.001771 1.001656 0.006283

26 0.163099 1.002026 1.001899 0.006285

27 0.169373 1.002306 1.002166 0.006287

28 0.175646 1.002612 1.002459 0.006288

29 0.181919 1.002946 1.002779 0.006290

2

Page 252: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.188192 1.003310 1.003128 0.006293

31 0.194465 1.003704 1.003507 0.006295

32 0.200738 1.004131 1.003918 0.006298

33 0.207011 1.004592 1.004361 0.006300

34 0.213284 1.005088 1.004840 0.006303

35 0.219557 1.005621 1.005355 0.006307

36 0.225830 1.006194 1.005907 0.006310

37 0.232103 1.006806 1.006500 0.006314

38 0.238376 1.007461 1.007134 0.006318

39 0.244649 1.008160 1.007811 0.006322

40 0.250922 1.008905 1.008533 0.006327

41 0.257195 1.009698 1.009302 0.006331

42 0.263468 1.010540 1.010119 0.006337

43 0.269741 1.011434 1.010987 0.006342

44 0.276014 1.012381 1.011907 0.006348

45 0.282288 1.013383 1.012882 0.006354

46 0.288561 1.014444 1.013914 0.006360

47 0.294834 1.015564 1.015004 0.006367

48 0.301107 1.016745 1.016154 0.006374

49 0.307380 1.017991 1.017368 0.006382

50 0.313653 1.019303 1.018647 0.006390

51 0.319926 1.020685 1.019994 0.006398

52 0.326199 1.022137 1.021411 0.006407

53 0.332472 1.023663 1.022900 0.006417

54 0.338745 1.025265 1.024464 0.006427

55 0.345018 1.026945 1.026105 0.006437

56 0.351291 1.028708 1.027827 0.006448

57 0.357564 1.030555 1.029631 0.006459

58 0.363837 1.032489 1.031522 0.006471

59 0.370110 1.034513 1.033501 0.006483

60 0.376383 1.036630 1.035571 0.006496

61 0.382656 1.038844 1.037737 0.006510

62 0.388929 1.041157 1.040001 0.006524

63 0.395203 1.043574 1.042366 0.006539

64 0.401476 1.046097 1.044836 0.006554

65 0.407749 1.048731 1.047414 0.006570

66 0.414022 1.051478 1.050104 0.006587

67 0.420295 1.054343 1.052911 0.006605

68 0.426568 1.057330 1.055837 0.006623

69 0.432841 1.060444 1.058887 0.006642

70 0.439114 1.063688 1.062066 0.006662

71 0.445387 1.067067 1.065377 0.006683

Page 253: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.451660 1.070586 1.068826 0.006705

73 0.457933 1.074250 1.072418 0.006727

74 0.464206 1.078064 1.076157 0.006751

75 0.470479 1.082033 1.080048 0.006775

76 0.476752 1.086163 1.084098 0.006801

77 0.483025 1.090460 1.088312 0.006827

78 0.489298 1.094931 1.092695 0.006855

79 0.495571 1.099580 1.097255 0.006883

80 0.501844 1.104416 1.101998 0.006913

81 0.508118 1.109445 1.106931 0.006944

82 0.514391 1.114675 1.112060 0.006976

83 0.520664 1.120114 1.117395 0.007009

84 0.526937 1.125769 1.122941 0.007044

85 0.533210 1.131650 1.128709 0.007080

86 0.539483 1.137764 1.134707 0.007118

87 0.545756 1.144123 1.140944 0.007157

88 0.552029 1.150736 1.147430 0.007198

89 0.558302 1.157613 1.154175 0.007240

90 0.564575 1.164766 1.161190 0.007284

91 0.570848 1.172207 1.168487 0.007330

92 0.577121 1.179948 1.176078 0.007378

93 0.583394 1.188003 1.183976 0.007427

94 0.589667 1.196385 1.192194 0.007479

95 0.595940 1.205110 1.200747 0.007532

96 0.602213 1.214193 1.209651 0.007588

97 0.608486 1.223651 1.218922 0.007646

98 0.614759 1.233503 1.228577 0.007707

99 0.621033 1.243767 1.238635 0.007770

100 0.627306 1.254464 1.249116 0.007836

101 0.633579 1.265616 1.260040 0.007904

102 0.639852 1.277245 1.271430 0.007976

103 0.646125 1.289378 1.283311 0.008050

104 0.652398 1.302040 1.295709 0.008128

105 0.658671 1.315260 1.308650 0.008209

106 0.664944 1.329070 1.322165 0.008294

107 0.671217 1.343502 1.336286 0.008383

108 0.677490 1.358593 1.351047 0.008475

109 0.683763 1.374380 1.366486 0.008572

110 0.690036 1.390905 1.382643 0.008673

111 0.696309 1.408215 1.399560 0.008780

112 0.702582 1.426357 1.417286 0.008891

113 0.708855 1.445384 1.435870 0.009007

114 0.715128 1.465356 1.455370 0.009130

Page 254: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.721401 1.486333 1.475844 0.009258

116 0.727674 1.508387 1.497360 0.009393

117 0.733948 1.531591 1.519989 0.009535

118 0.740221 1.556028 1.543809 0.009684

119 0.746494 1.581790 1.568909 0.009842

120 0.752767 1.608975 1.595382 0.010008

121 0.759040 1.637695 1.623335 0.010183

122 0.765313 1.668072 1.652884 0.010369

123 0.771586 1.700241 1.684157 0.010565

124 0.777859 1.734353 1.717297 0.010773

125 0.784132 1.770577 1.752465 0.010993

126 0.790405 1.809100 1.789839 0.011228

127 0.796678 1.850136 1.829618 0.011477

128 0.802951 1.893923 1.872029 0.011743

129 0.809224 1.940730 1.917326 0.012027

130 0.815497 1.990866 1.965798 0.012332

131 0.821770 2.044680 2.017773 0.012658

132 0.828043 2.102573 2.073626 0.013008

133 0.834316 2.165009 2.133791 0.013385

134 0.840589 2.232520 2.198764 0.013793

135 0.846863 2.305731 2.269126 0.014234

136 0.853136 2.385370 2.345551 0.014714

137 0.859409 2.472295 2.428833 0.015236

138 0.865682 2.567527 2.519911 0.015808

139 0.871955 2.672284 2.619906 0.016435

140 0.878228 2.788037 2.730160 0.017126

141 0.884501 2.916574 2.852305 0.017893

142 0.890774 3.060099 2.988337 0.018746

143 0.897047 3.221347 3.140723 0.019702

144 0.903320 3.403766 3.312556 0.020780

145 0.909593 3.611762 3.507764 0.022004

146 0.915866 3.851052 3.731407 0.023407

147 0.922139 4.129199 3.990126 0.025030

148 0.928412 4.456413 4.292806 0.026929

149 0.934685 4.846831 4.651622 0.029180

150 0.940958 5.320592 5.083712 0.031890

151 0.947231 5.907419 5.614006 0.035217

152 0.953504 6.653069 6.280244 0.039396

153 0.959778 7.631847 7.142458 0.044805

154 0.966051 8.972976 8.302411 0.052081

155 0.972324 10.922840 9.947908 0.062404

156 0.978597 14.016668 12.469754 0.078223

157 0.984870 19.677320 16.846994 0.105682

Page 255: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.991143 33.358592 26.517956 0.166349

159 0.997416 113.471203 73.414897 0.460536

160 1.003689 -78.886766 17.292219 0.108475

161 1.009962 -28.991188 -53.938977 -0.338362

162 1.016235 -17.655170 -23.323179 -0.146308

163 1.022508 -12.638791 -15.146981 -0.095018

164 1.028781 -9.809812 -11.224301 -0.070411

165 1.035054 -7.993902 -8.901857 -0.055842

166 1.041327 -6.729736 -7.361819 -0.046181

167 1.047600 -5.799174 -6.264455 -0.039297

168 1.053873 -5.085677 -5.442426 -0.034141

169 1.060146 -4.521325 -4.803501 -0.030133

170 1.066419 -4.063856 -4.292590 -0.026928

171 1.072693 -3.685598 -3.874727 -0.024306

172 1.078966 -3.367670 -3.526634 -0.022123

173 1.085239 -3.096751 -3.232210 -0.020276

174 1.091512 -2.863171 -2.979961 -0.018693

175 1.097785 -2.659742 -2.761457 -0.017323

176 1.104058 -2.481011 -2.570377 -0.016124

177 1.110331 -2.322762 -2.401886 -0.015067

178 1.116604 -2.181689 -2.252225 -0.014128

179 1.122877 -2.055159 -2.118424 -0.013289

180 1.129150 -1.941052 -1.998106 -0.012534

181 1.135423 -1.837641 -1.889347 -0.011852

182 1.141696 -1.743504 -1.790572 -0.011232

183 1.147969 -1.657460 -1.700482 -0.010667

184 1.154242 -1.578520 -1.617990 -0.010150

185 1.160515 -1.505851 -1.542186 -0.009674

186 1.166788 -1.438745 -1.472298 -0.009236

187 1.173061 -1.376594 -1.407670 -0.008830

188 1.179334 -1.318880 -1.347737 -0.008454

189 1.185608 -1.265150 -1.292015 -0.008105

190 1.191881 -1.215014 -1.240082 -0.007779

191 1.198154 -1.168128 -1.191571 -0.007475

192 1.204427 -1.124194 -1.146161 -0.007190

193 1.210700 -1.082947 -1.103571 -0.006923

194 1.216973 -1.044153 -1.063550 -0.006672

195 1.223246 -1.007605 -1.025879 -0.006435

196 1.229519 -0.973117 -0.990361 -0.006213

197 1.235792 -0.940525 -0.956821 -0.006002

198 1.242065 -0.909682 -0.925104 -0.005803

199 1.248338 -0.880453 -0.895067 -0.005615

200 1.254611 -0.852719 -0.866586 -0.005436

Page 256: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.26672

Page 257: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.2196

N 3.4210

RESULTADO

F(u,N) -46.7531

CALCULOSxo 0 N tramos= 200xn 1.21956 0.006098C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006098 1.000000 1.000000 0.006098

2 0.012196 1.000000 1.000000 0.006098

3 0.018293 1.000001 1.000001 0.006098

4 0.024391 1.000003 1.000002 0.006098

5 0.030489 1.000007 1.000005 0.006098

6 0.036587 1.000012 1.000009 0.006098

7 0.042685 1.000021 1.000016 0.006098

8 0.048782 1.000033 1.000027 0.006098

9 0.054880 1.000049 1.000041 0.006098

10 0.060978 1.000070 1.000059 0.006098

11 0.067076 1.000097 1.000083 0.006098

12 0.073173 1.000130 1.000114 0.006098

13 0.079271 1.000171 1.000151 0.006099

14 0.085369 1.000221 1.000196 0.006099

15 0.091467 1.000280 1.000250 0.006099

16 0.097565 1.000349 1.000314 0.006100

17 0.103662 1.000429 1.000389 0.006100

18 0.109760 1.000522 1.000475 0.006101

19 0.115858 1.000628 1.000575 0.006101

20 0.121956 1.000748 1.000688 0.006102

21 0.128054 1.000885 1.000817 0.006103

22 0.134151 1.001037 1.000961 0.006104

23 0.140249 1.001208 1.001123 0.006105

24 0.146347 1.001397 1.001303 0.006106

25 0.152445 1.001607 1.001502 0.006107

26 0.158542 1.001839 1.001723 0.006108

27 0.164640 1.002092 1.001965 0.006110

28 0.170738 1.002370 1.002231 0.006111

29 0.176836 1.002673 1.002522 0.006113

3

Page 258: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.182934 1.003003 1.002838 0.006115

31 0.189031 1.003361 1.003182 0.006117

32 0.195129 1.003748 1.003554 0.006119

33 0.201227 1.004166 1.003957 0.006122

34 0.207325 1.004616 1.004391 0.006125

35 0.213423 1.005099 1.004858 0.006127

36 0.219520 1.005618 1.005359 0.006130

37 0.225618 1.006174 1.005896 0.006134

38 0.231716 1.006767 1.006470 0.006137

39 0.237814 1.007401 1.007084 0.006141

40 0.243912 1.008076 1.007738 0.006145

41 0.250009 1.008794 1.008435 0.006149

42 0.256107 1.009557 1.009175 0.006154

43 0.262205 1.010366 1.009962 0.006159

44 0.268303 1.011224 1.010795 0.006164

45 0.274400 1.012132 1.011678 0.006169

46 0.280498 1.013092 1.012612 0.006175

47 0.286596 1.014105 1.013599 0.006181

48 0.292694 1.015175 1.014640 0.006187

49 0.298792 1.016302 1.015738 0.006194

50 0.304889 1.017489 1.016895 0.006201

51 0.310987 1.018738 1.018113 0.006208

52 0.317085 1.020050 1.019394 0.006216

53 0.323183 1.021429 1.020740 0.006224

54 0.329281 1.022877 1.022153 0.006233

55 0.335378 1.024395 1.023636 0.006242

56 0.341476 1.025987 1.025191 0.006251

57 0.347574 1.027654 1.026820 0.006261

58 0.353672 1.029399 1.028526 0.006272

59 0.359770 1.031224 1.030312 0.006283

60 0.365867 1.033134 1.032179 0.006294

61 0.371965 1.035129 1.034131 0.006306

62 0.378063 1.037213 1.036171 0.006318

63 0.384161 1.039389 1.038301 0.006331

64 0.390258 1.041661 1.040525 0.006345

65 0.396356 1.044030 1.042845 0.006359

66 0.402454 1.046501 1.045265 0.006374

67 0.408552 1.049076 1.047788 0.006389

68 0.414650 1.051759 1.050418 0.006405

69 0.420747 1.054555 1.053157 0.006422

70 0.426845 1.057465 1.056010 0.006439

71 0.432943 1.060496 1.058981 0.006457

Page 259: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.439041 1.063649 1.062072 0.006476

73 0.445139 1.066931 1.065290 0.006496

74 0.451236 1.070344 1.068637 0.006516

75 0.457334 1.073894 1.072119 0.006538

76 0.463432 1.077585 1.075739 0.006560

77 0.469530 1.081422 1.079503 0.006583

78 0.475627 1.085411 1.083416 0.006606

79 0.481725 1.089556 1.087483 0.006631

80 0.487823 1.093863 1.091710 0.006657

81 0.493921 1.098339 1.096101 0.006684

82 0.500019 1.102989 1.100664 0.006712

83 0.506116 1.107820 1.105404 0.006741

84 0.512214 1.112838 1.110329 0.006771

85 0.518312 1.118050 1.115444 0.006802

86 0.524410 1.123464 1.120757 0.006834

87 0.530508 1.129088 1.126276 0.006868

88 0.536605 1.134930 1.132009 0.006903

89 0.542703 1.140998 1.137964 0.006939

90 0.548801 1.147301 1.144149 0.006977

91 0.554899 1.153849 1.150575 0.007016

92 0.560997 1.160651 1.157250 0.007057

93 0.567094 1.167719 1.164185 0.007099

94 0.573192 1.175064 1.171392 0.007143

95 0.579290 1.182697 1.178880 0.007189

96 0.585388 1.190630 1.186664 0.007236

97 0.591485 1.198878 1.194754 0.007285

98 0.597583 1.207453 1.203166 0.007337

99 0.603681 1.216372 1.211912 0.007390

100 0.609779 1.225648 1.221010 0.007445

101 0.615877 1.235300 1.230474 0.007503

102 0.621974 1.245345 1.240323 0.007563

103 0.628072 1.255802 1.250573 0.007626

104 0.634170 1.266691 1.261247 0.007691

105 0.640268 1.278034 1.272363 0.007759

106 0.646366 1.289854 1.283944 0.007829

107 0.652463 1.302175 1.296014 0.007903

108 0.658561 1.315024 1.308600 0.007980

109 0.664659 1.328429 1.321727 0.008060

110 0.670757 1.342421 1.335425 0.008143

111 0.676855 1.357033 1.349727 0.008230

112 0.682952 1.372299 1.364666 0.008321

113 0.689050 1.388257 1.380278 0.008417

114 0.695148 1.404949 1.396603 0.008516

Page 260: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.701246 1.422419 1.413684 0.008620

116 0.707343 1.440714 1.431567 0.008729

117 0.713441 1.459888 1.450301 0.008844

118 0.719539 1.479996 1.469942 0.008963

119 0.725637 1.501101 1.490549 0.009089

120 0.731735 1.523269 1.512185 0.009221

121 0.737832 1.546574 1.534921 0.009360

122 0.743930 1.571096 1.558835 0.009505

123 0.750028 1.596924 1.584010 0.009659

124 0.756126 1.624156 1.610540 0.009821

125 0.762224 1.652897 1.638527 0.009991

126 0.768321 1.683268 1.668083 0.010172

127 0.774419 1.715398 1.699333 0.010362

128 0.780517 1.749433 1.732416 0.010564

129 0.786615 1.785537 1.767485 0.010778

130 0.792712 1.823891 1.804714 0.011005

131 0.798810 1.864698 1.844294 0.011246

132 0.804908 1.908187 1.886442 0.011503

133 0.811006 1.954617 1.931402 0.011777

134 0.817104 2.004281 1.979449 0.012070

135 0.823201 2.057513 2.030897 0.012384

136 0.829299 2.114693 2.086103 0.012721

137 0.835397 2.176260 2.145477 0.013083

138 0.841495 2.242718 2.209489 0.013473

139 0.847593 2.314654 2.278686 0.013895

140 0.853690 2.392750 2.353702 0.014352

141 0.859788 2.477810 2.435280 0.014850

142 0.865886 2.570781 2.524295 0.015393

143 0.871984 2.672792 2.621787 0.015987

144 0.878082 2.785199 2.728996 0.016641

145 0.884179 2.909642 2.847421 0.017363

146 0.890277 3.048125 2.978884 0.018165

147 0.896375 3.203126 3.125626 0.019059

148 0.902473 3.377740 3.290433 0.020064

149 0.908570 3.575890 3.476815 0.021201

150 0.914668 3.802619 3.689255 0.022496

151 0.920766 4.064523 3.933571 0.023986

152 0.926864 4.370398 4.217461 0.025717

153 0.932962 4.732239 4.551319 0.027753

154 0.939059 5.166844 4.949542 0.030181

155 0.945157 5.698481 5.432662 0.033127

156 0.951255 6.363559 6.031020 0.036776

157 0.957353 7.219314 6.791437 0.041413

Page 261: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.963451 8.361178 7.790246 0.047503

159 0.969548 9.961018 9.161098 0.055862

160 0.975646 12.362837 11.161928 0.068063

161 0.981744 16.370240 14.366539 0.087604

162 0.987842 24.398976 20.384608 0.124301

163 0.993940 48.587247 36.493112 0.222527

164 1.000037 -7838.190327 -3894.801540 -23.749675

165 1.006135 -47.293225 -3942.741776 -24.042005

166 1.012233 -23.544685 -35.418955 -0.215977

167 1.018331 -15.597334 -19.571010 -0.119340

168 1.024428 -11.618365 -13.607850 -0.082978

169 1.030526 -9.229652 -10.424008 -0.063563

170 1.036624 -7.636871 -8.433261 -0.051424

171 1.042722 -6.499202 -7.068036 -0.043099

172 1.048820 -5.646106 -6.072654 -0.037030

173 1.054917 -4.982785 -5.314446 -0.032406

174 1.061015 -4.452340 -4.717563 -0.028767

175 1.067113 -4.018550 -4.235445 -0.025827

176 1.073211 -3.657260 -3.837905 -0.023403

177 1.079309 -3.351745 -3.504502 -0.021370

178 1.085406 -3.090058 -3.220901 -0.019640

179 1.091504 -2.863434 -2.976746 -0.018152

180 1.097602 -2.665300 -2.764367 -0.016857

181 1.103700 -2.490628 -2.577964 -0.015720

182 1.109797 -2.335508 -2.413068 -0.014714

183 1.115895 -2.196853 -2.266181 -0.013819

184 1.121993 -2.072192 -2.134522 -0.013016

185 1.128091 -1.959526 -2.015859 -0.012292

186 1.134189 -1.857217 -1.908371 -0.011637

187 1.140286 -1.763915 -1.810566 -0.011040

188 1.146384 -1.678493 -1.721204 -0.010496

189 1.152482 -1.600005 -1.639249 -0.009996

190 1.158580 -1.527649 -1.563827 -0.009536

191 1.164678 -1.460744 -1.494196 -0.009111

192 1.170775 -1.398704 -1.429724 -0.008718

193 1.176873 -1.341027 -1.369865 -0.008353

194 1.182971 -1.287274 -1.314150 -0.008013

195 1.189069 -1.237066 -1.262170 -0.007696

196 1.195167 -1.190069 -1.213567 -0.007400

197 1.201264 -1.145991 -1.168030 -0.007122

198 1.207362 -1.104574 -1.125282 -0.006862

199 1.213460 -1.065588 -1.085081 -0.006617

200 1.219558 -1.028832 -1.047210 -0.006386

Page 262: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = -46.75309

Page 263: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.1847

N 3.4210

RESULTADO

F(u,N) -0.4167

CALCULOSxo 0 N tramos= 200xn 1.18466 0.005923C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005923 1.000000 1.000000 0.005923

2 0.011847 1.000000 1.000000 0.005923

3 0.017770 1.000001 1.000001 0.005923

4 0.023693 1.000003 1.000002 0.005923

5 0.029617 1.000006 1.000004 0.005923

6 0.035540 1.000011 1.000008 0.005923

7 0.041463 1.000019 1.000015 0.005923

8 0.047386 1.000029 1.000024 0.005923

9 0.053310 1.000044 1.000037 0.005924

10 0.059233 1.000063 1.000054 0.005924

11 0.065156 1.000088 1.000075 0.005924

12 0.071080 1.000118 1.000103 0.005924

13 0.077003 1.000155 1.000137 0.005924

14 0.082926 1.000200 1.000178 0.005924

15 0.088850 1.000253 1.000227 0.005925

16 0.094773 1.000316 1.000284 0.005925

17 0.100696 1.000389 1.000352 0.005925

18 0.106619 1.000472 1.000431 0.005926

19 0.112543 1.000569 1.000521 0.005926

20 0.118466 1.000678 1.000623 0.005927

21 0.124389 1.000801 1.000739 0.005928

22 0.130313 1.000939 1.000870 0.005928

23 0.136236 1.001094 1.001016 0.005929

24 0.142159 1.001265 1.001179 0.005930

25 0.148083 1.001455 1.001360 0.005931

26 0.154006 1.001664 1.001560 0.005933

27 0.159929 1.001894 1.001779 0.005934

28 0.165853 1.002146 1.002020 0.005935

29 0.171776 1.002420 1.002283 0.005937

4

Page 264: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.177699 1.002718 1.002569 0.005939

31 0.183622 1.003042 1.002880 0.005940

32 0.189546 1.003392 1.003217 0.005942

33 0.195469 1.003770 1.003581 0.005945

34 0.201392 1.004177 1.003974 0.005947

35 0.207316 1.004615 1.004396 0.005949

36 0.213239 1.005084 1.004850 0.005952

37 0.219162 1.005587 1.005335 0.005955

38 0.225086 1.006124 1.005855 0.005958

39 0.231009 1.006696 1.006410 0.005961

40 0.236932 1.007307 1.007002 0.005965

41 0.242855 1.007956 1.007631 0.005969

42 0.248779 1.008646 1.008301 0.005972

43 0.254702 1.009377 1.009011 0.005977

44 0.260625 1.010152 1.009765 0.005981

45 0.266549 1.010972 1.010562 0.005986

46 0.272472 1.011839 1.011406 0.005991

47 0.278395 1.012755 1.012297 0.005996

48 0.284319 1.013720 1.013238 0.006002

49 0.290242 1.014738 1.014229 0.006008

50 0.296165 1.015809 1.015274 0.006014

51 0.302088 1.016936 1.016373 0.006020

52 0.308012 1.018120 1.017528 0.006027

53 0.313935 1.019364 1.018742 0.006034

54 0.319858 1.020669 1.020017 0.006042

55 0.325782 1.022038 1.021354 0.006050

56 0.331705 1.023472 1.022755 0.006058

57 0.337628 1.024974 1.024223 0.006067

58 0.343552 1.026545 1.025760 0.006076

59 0.349475 1.028189 1.027367 0.006085

60 0.355398 1.029907 1.029048 0.006095

61 0.361322 1.031702 1.030805 0.006106

62 0.367245 1.033577 1.032640 0.006117

63 0.373168 1.035533 1.034555 0.006128

64 0.379091 1.037574 1.036553 0.006140

65 0.385015 1.039702 1.038638 0.006152

66 0.390938 1.041920 1.040811 0.006165

67 0.396861 1.044231 1.043075 0.006178

68 0.402785 1.046637 1.045434 0.006192

69 0.408708 1.049143 1.047890 0.006207

70 0.414631 1.051751 1.050447 0.006222

71 0.420555 1.054464 1.053108 0.006238

Page 265: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.426478 1.057287 1.055876 0.006254

73 0.432401 1.060221 1.058754 0.006271

74 0.438324 1.063272 1.061747 0.006289

75 0.444248 1.066443 1.064858 0.006307

76 0.450171 1.069738 1.068090 0.006327

77 0.456094 1.073161 1.071449 0.006347

78 0.462018 1.076716 1.074938 0.006367

79 0.467941 1.080408 1.078562 0.006389

80 0.473864 1.084241 1.082325 0.006411

81 0.479788 1.088221 1.086231 0.006434

82 0.485711 1.092353 1.090287 0.006458

83 0.491634 1.096641 1.094497 0.006483

84 0.497558 1.101091 1.098866 0.006509

85 0.503481 1.105709 1.103400 0.006536

86 0.509404 1.110501 1.108105 0.006564

87 0.515327 1.115474 1.112988 0.006593

88 0.521251 1.120634 1.118054 0.006623

89 0.527174 1.125987 1.123311 0.006654

90 0.533097 1.131542 1.128765 0.006686

91 0.539021 1.137306 1.134424 0.006720

92 0.544944 1.143286 1.140296 0.006754

93 0.550867 1.149492 1.146389 0.006790

94 0.556791 1.155931 1.152712 0.006828

95 0.562714 1.162615 1.159273 0.006867

96 0.568637 1.169551 1.166083 0.006907

97 0.574560 1.176751 1.173151 0.006949

98 0.580484 1.184226 1.180489 0.006992

99 0.586407 1.191987 1.188107 0.007038

100 0.592330 1.200046 1.196017 0.007084

101 0.598254 1.208417 1.204232 0.007133

102 0.604177 1.217112 1.212765 0.007184

103 0.610100 1.226147 1.221630 0.007236

104 0.616024 1.235538 1.230843 0.007291

105 0.621947 1.245299 1.240418 0.007347

106 0.627870 1.255449 1.250374 0.007406

107 0.633794 1.266006 1.260727 0.007468

108 0.639717 1.276990 1.271498 0.007531

109 0.645640 1.288422 1.282706 0.007598

110 0.651563 1.300324 1.294373 0.007667

111 0.657487 1.312721 1.306522 0.007739

112 0.663410 1.325637 1.319179 0.007814

113 0.669333 1.339101 1.332369 0.007892

114 0.675257 1.353142 1.346122 0.007973

Page 266: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.681180 1.367792 1.360467 0.008058

116 0.687103 1.383084 1.375438 0.008147

117 0.693027 1.399056 1.391070 0.008240

118 0.698950 1.415747 1.407402 0.008336

119 0.704873 1.433200 1.424474 0.008438

120 0.710796 1.451461 1.442330 0.008543

121 0.716720 1.470579 1.461020 0.008654

122 0.722643 1.490611 1.480595 0.008770

123 0.728566 1.511614 1.501112 0.008892

124 0.734490 1.533653 1.522633 0.009019

125 0.740413 1.556798 1.545225 0.009153

126 0.746336 1.581126 1.568962 0.009293

127 0.752260 1.606722 1.593924 0.009441

128 0.758183 1.633678 1.620200 0.009597

129 0.764106 1.662094 1.647886 0.009761

130 0.770029 1.692085 1.677090 0.009934

131 0.775953 1.723773 1.707929 0.010117

132 0.781876 1.757296 1.740534 0.010310

133 0.787799 1.792807 1.775051 0.010514

134 0.793723 1.830476 1.811641 0.010731

135 0.799646 1.870494 1.850485 0.010961

136 0.805569 1.913075 1.891784 0.011206

137 0.811493 1.958458 1.935766 0.011466

138 0.817416 2.006917 1.982688 0.011744

139 0.823339 2.058760 2.032839 0.012041

140 0.829263 2.114336 2.086548 0.012359

141 0.835186 2.174049 2.144193 0.012701

142 0.841109 2.238360 2.206204 0.013068

143 0.847032 2.307800 2.273080 0.013464

144 0.852956 2.382990 2.345395 0.013892

145 0.858879 2.464651 2.423821 0.014357

146 0.864802 2.553634 2.509143 0.014862

147 0.870726 2.650943 2.602288 0.015414

148 0.876649 2.757776 2.704359 0.016019

149 0.882572 2.875572 2.816674 0.016684

150 0.888496 3.006079 2.940826 0.017419

151 0.894419 3.151432 3.078755 0.018236

152 0.900342 3.314278 3.232855 0.019149

153 0.906265 3.497930 3.406104 0.020175

154 0.912189 3.706598 3.602264 0.021337

155 0.918112 3.945707 3.826153 0.022663

156 0.924035 4.222377 4.084042 0.024191

157 0.929959 4.546134 4.384256 0.025969

Page 267: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.935882 4.930026 4.738080 0.028065

159 0.941805 5.392411 5.161219 0.030571

160 0.947729 5.959972 5.676192 0.033622

161 0.953652 6.673027 6.316499 0.037415

162 0.959575 7.595530 7.134279 0.042258

163 0.965499 8.835352 8.215441 0.048663

164 0.971422 10.589795 9.712574 0.057531

165 0.977345 13.262508 11.926151 0.070642

166 0.983268 17.828737 15.545623 0.092081

167 0.989192 27.401605 22.615171 0.133957

168 0.995115 60.193601 43.797603 0.259427

169 1.001038 -281.161849 -110.484124 -0.654431

170 1.006962 -41.636434 -161.399142 -0.956016

171 1.012885 -22.335559 -31.985997 -0.189463

172 1.018808 -15.192531 -18.764045 -0.111145

173 1.024732 -11.471788 -13.332159 -0.078970

174 1.030655 -9.189505 -10.330646 -0.061192

175 1.036578 -7.646865 -8.418185 -0.049863

176 1.042501 -6.534619 -7.090742 -0.042001

177 1.048425 -5.694827 -6.114723 -0.036219

178 1.054348 -5.038402 -5.366614 -0.031788

179 1.060271 -4.511280 -4.774841 -0.028283

180 1.066195 -4.078747 -4.295013 -0.025441

181 1.072118 -3.717494 -3.898120 -0.023090

182 1.078041 -3.411289 -3.564392 -0.021113

183 1.083965 -3.148481 -3.279885 -0.019428

184 1.089888 -2.920487 -3.034484 -0.017974

185 1.095811 -2.720851 -2.820669 -0.016708

186 1.101735 -2.544616 -2.632734 -0.015594

187 1.107658 -2.387920 -2.466268 -0.014608

188 1.113581 -2.247704 -2.317812 -0.013729

189 1.119504 -2.121516 -2.184610 -0.012940

190 1.125428 -2.007368 -2.064442 -0.012228

191 1.131351 -1.903630 -1.955499 -0.011583

192 1.137274 -1.808953 -1.856291 -0.010995

193 1.143198 -1.722212 -1.765582 -0.010458

194 1.149121 -1.642460 -1.682336 -0.009965

195 1.155044 -1.568896 -1.605678 -0.009511

196 1.160968 -1.500835 -1.534866 -0.009091

197 1.166891 -1.437691 -1.469263 -0.008703

198 1.172814 -1.378957 -1.408324 -0.008342

199 1.178737 -1.324195 -1.351576 -0.008006

200 1.184661 -1.273020 -1.298607 -0.007692

Page 268: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = -0.41669

Page 269: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.1499

N 3.4210

RESULTADO

F(u,N) -2.6754

CALCULOSxo 0 N tramos= 200xn 1.14992 0.005750C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005750 1.000000 1.000000 0.005750

2 0.011499 1.000000 1.000000 0.005750

3 0.017249 1.000001 1.000001 0.005750

4 0.022998 1.000002 1.000002 0.005750

5 0.028748 1.000005 1.000004 0.005750

6 0.034498 1.000010 1.000008 0.005750

7 0.040247 1.000017 1.000013 0.005750

8 0.045997 1.000027 1.000022 0.005750

9 0.051747 1.000040 1.000033 0.005750

10 0.057496 1.000057 1.000048 0.005750

11 0.063246 1.000079 1.000068 0.005750

12 0.068995 1.000107 1.000093 0.005750

13 0.074745 1.000140 1.000123 0.005750

14 0.080495 1.000181 1.000160 0.005751

15 0.086244 1.000229 1.000205 0.005751

16 0.091994 1.000285 1.000257 0.005751

17 0.097744 1.000351 1.000318 0.005751

18 0.103493 1.000427 1.000389 0.005752

19 0.109243 1.000513 1.000470 0.005752

20 0.114992 1.000612 1.000563 0.005753

21 0.120742 1.000723 1.000668 0.005753

22 0.126492 1.000848 1.000786 0.005754

23 0.132241 1.000988 1.000918 0.005755

24 0.137991 1.001143 1.001065 0.005756

25 0.143740 1.001314 1.001228 0.005757

26 0.149490 1.001503 1.001409 0.005758

27 0.155240 1.001711 1.001607 0.005759

28 0.160989 1.001938 1.001824 0.005760

29 0.166739 1.002185 1.002061 0.005761

5

Page 270: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.172489 1.002455 1.002320 0.005763

31 0.178238 1.002747 1.002601 0.005765

32 0.183988 1.003063 1.002905 0.005766

33 0.189737 1.003404 1.003234 0.005768

34 0.195487 1.003772 1.003588 0.005770

35 0.201237 1.004166 1.003969 0.005772

36 0.206986 1.004590 1.004378 0.005775

37 0.212736 1.005043 1.004816 0.005777

38 0.218485 1.005528 1.005285 0.005780

39 0.224235 1.006044 1.005786 0.005783

40 0.229985 1.006595 1.006320 0.005786

41 0.235734 1.007180 1.006888 0.005789

42 0.241484 1.007802 1.007491 0.005793

43 0.247234 1.008462 1.008132 0.005796

44 0.252983 1.009160 1.008811 0.005800

45 0.258733 1.009900 1.009530 0.005804

46 0.264482 1.010681 1.010290 0.005809

47 0.270232 1.011506 1.011093 0.005813

48 0.275982 1.012376 1.011941 0.005818

49 0.281731 1.013292 1.012834 0.005823

50 0.287481 1.014257 1.013775 0.005829

51 0.293231 1.015272 1.014764 0.005835

52 0.298980 1.016338 1.015805 0.005840

53 0.304730 1.017457 1.016897 0.005847

54 0.310479 1.018631 1.018044 0.005853

55 0.316229 1.019862 1.019247 0.005860

56 0.321979 1.021152 1.020507 0.005868

57 0.327728 1.022502 1.021827 0.005875

58 0.333478 1.023914 1.023208 0.005883

59 0.339227 1.025391 1.024653 0.005891

60 0.344977 1.026934 1.026163 0.005900

61 0.350727 1.028546 1.027740 0.005909

62 0.356476 1.030228 1.029387 0.005919

63 0.362226 1.031983 1.031106 0.005928

64 0.367976 1.033814 1.032898 0.005939

65 0.373725 1.035721 1.034767 0.005950

66 0.379475 1.037709 1.036715 0.005961

67 0.385224 1.039779 1.038744 0.005972

68 0.390974 1.041934 1.040856 0.005985

69 0.396724 1.044176 1.043055 0.005997

70 0.402473 1.046509 1.045342 0.006010

71 0.408223 1.048934 1.047721 0.006024

Page 271: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.413972 1.051456 1.050195 0.006038

73 0.419722 1.054077 1.052766 0.006053

74 0.425472 1.056799 1.055438 0.006068

75 0.431221 1.059628 1.058214 0.006084

76 0.436971 1.062565 1.061096 0.006101

77 0.442721 1.065614 1.064089 0.006118

78 0.448470 1.068779 1.067196 0.006136

79 0.454220 1.072063 1.070421 0.006155

80 0.459969 1.075471 1.073767 0.006174

81 0.465719 1.079007 1.077239 0.006194

82 0.471469 1.082674 1.080840 0.006214

83 0.477218 1.086477 1.084575 0.006236

84 0.482968 1.090420 1.088448 0.006258

85 0.488718 1.094509 1.092465 0.006281

86 0.494467 1.098748 1.096629 0.006305

87 0.500217 1.103143 1.100946 0.006330

88 0.505966 1.107699 1.105421 0.006356

89 0.511716 1.112421 1.110060 0.006382

90 0.517466 1.117315 1.114868 0.006410

91 0.523215 1.122388 1.119851 0.006439

92 0.528965 1.127645 1.125016 0.006468

93 0.534714 1.133095 1.130370 0.006499

94 0.540464 1.138743 1.135919 0.006531

95 0.546214 1.144597 1.141670 0.006564

96 0.551963 1.150665 1.147631 0.006598

97 0.557713 1.156956 1.153811 0.006634

98 0.563463 1.163477 1.160217 0.006671

99 0.569212 1.170238 1.166858 0.006709

100 0.574962 1.177249 1.173744 0.006749

101 0.580711 1.184519 1.180884 0.006790

102 0.586461 1.192059 1.188289 0.006832

103 0.592211 1.199880 1.195970 0.006876

104 0.597960 1.207995 1.203937 0.006922

105 0.603710 1.216415 1.212205 0.006970

106 0.609459 1.225153 1.220784 0.007019

107 0.615209 1.234225 1.229689 0.007070

108 0.620959 1.243644 1.238934 0.007123

109 0.626708 1.253426 1.248535 0.007179

110 0.632458 1.263589 1.258508 0.007236

111 0.638208 1.274150 1.268869 0.007296

112 0.643957 1.285127 1.279638 0.007357

113 0.649707 1.296541 1.290834 0.007422

114 0.655456 1.308414 1.302478 0.007489

Page 272: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.661206 1.320769 1.314591 0.007558

116 0.666956 1.333629 1.327199 0.007631

117 0.672705 1.347022 1.340325 0.007706

118 0.678455 1.360975 1.353998 0.007785

119 0.684205 1.375518 1.368246 0.007867

120 0.689954 1.390685 1.383101 0.007952

121 0.695704 1.406509 1.398597 0.008041

122 0.701453 1.423028 1.414768 0.008134

123 0.707203 1.440283 1.431656 0.008231

124 0.712953 1.458318 1.449301 0.008333

125 0.718702 1.477179 1.467749 0.008439

126 0.724452 1.496918 1.487049 0.008550

127 0.730201 1.517591 1.507255 0.008666

128 0.735951 1.539258 1.528424 0.008788

129 0.741701 1.561984 1.550621 0.008915

130 0.747450 1.585841 1.573912 0.009049

131 0.753200 1.610908 1.598375 0.009190

132 0.758950 1.637271 1.624090 0.009338

133 0.764699 1.665024 1.651147 0.009493

134 0.770449 1.694270 1.679647 0.009657

135 0.776198 1.725125 1.709698 0.009830

136 0.781948 1.757715 1.741420 0.010012

137 0.787698 1.792179 1.774947 0.010205

138 0.793447 1.828674 1.810426 0.010409

139 0.799197 1.867373 1.848023 0.010625

140 0.804946 1.908470 1.887921 0.010855

141 0.810696 1.952183 1.930326 0.011099

142 0.816446 1.998757 1.975470 0.011358

143 0.822195 2.048469 2.023613 0.011635

144 0.827945 2.101631 2.075050 0.011931

145 0.833695 2.158602 2.130117 0.012247

146 0.839444 2.219789 2.189196 0.012587

147 0.845194 2.285661 2.252725 0.012952

148 0.850943 2.356759 2.321210 0.013346

149 0.856693 2.433710 2.395234 0.013772

150 0.862443 2.517248 2.475479 0.014233

151 0.868192 2.608234 2.562741 0.014735

152 0.873942 2.707684 2.657959 0.015282

153 0.879692 2.816812 2.762248 0.015882

154 0.885441 2.937073 2.876942 0.016541

155 0.891191 3.070230 3.003651 0.017270

156 0.896940 3.218441 3.144335 0.018079

157 0.902690 3.384371 3.301406 0.018982

Page 273: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.908440 3.571358 3.477865 0.019996

159 0.914189 3.783633 3.677496 0.021144

160 0.919939 4.026640 3.905136 0.022453

161 0.925688 4.307512 4.167076 0.023959

162 0.931438 4.635772 4.471642 0.025710

163 0.937188 5.024432 4.830102 0.027771

164 0.942937 5.491745 5.258089 0.030232

165 0.948687 6.064149 5.777947 0.033221

166 0.954437 6.781423 6.422786 0.036929

167 0.960186 7.706327 7.243875 0.041650

168 0.965936 8.943993 8.325160 0.047866

169 0.971685 10.684944 9.814469 0.056429

170 0.977435 13.313892 11.999418 0.068992

171 0.983185 17.741715 15.527804 0.089279

172 0.988934 26.772419 22.257067 0.127970

173 0.994684 55.340643 41.056531 0.236059

174 1.000434 -673.942271 -309.300814 -1.778361

175 1.006183 -46.923051 -360.432661 -2.072350

176 1.011933 -24.145619 -35.534335 -0.204309

177 1.017682 -16.181824 -20.163722 -0.115934

178 1.023432 -12.126976 -14.154400 -0.081382

179 1.029182 -9.670543 -10.898759 -0.062664

180 1.034931 -8.023231 -8.846887 -0.050866

181 1.040681 -6.841966 -7.432599 -0.042735

182 1.046430 -5.953610 -6.397788 -0.036785

183 1.052180 -5.261334 -5.607472 -0.032241

184 1.057930 -4.706752 -4.984043 -0.028656

185 1.063679 -4.252564 -4.479658 -0.025756

186 1.069429 -3.873827 -4.063195 -0.023362

187 1.075179 -3.553228 -3.713527 -0.021351

188 1.080928 -3.278373 -3.415800 -0.019640

189 1.086678 -3.040157 -3.159265 -0.018165

190 1.092427 -2.831743 -2.935950 -0.016881

191 1.098177 -2.647892 -2.739817 -0.015753

192 1.103927 -2.484526 -2.566209 -0.014755

193 1.109676 -2.338423 -2.411474 -0.013865

194 1.115426 -2.207001 -2.272712 -0.013067

195 1.121175 -2.088170 -2.147586 -0.012348

196 1.126925 -1.980218 -2.034194 -0.011696

197 1.132675 -1.881729 -1.930973 -0.011102

198 1.138424 -1.791523 -1.836626 -0.010560

199 1.144174 -1.708609 -1.750066 -0.010062

200 1.149924 -1.632146 -1.670377 -0.009604

Page 274: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = -2.67541

Page 275: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.1153

N 3.4210

RESULTADO

F(u,N) 1.7934

CALCULOSxo 0 N tramos= 200xn 1.11535 0.005577C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005577 1.000000 1.000000 0.005577

2 0.011153 1.000000 1.000000 0.005577

3 0.016730 1.000001 1.000001 0.005577

4 0.022307 1.000002 1.000002 0.005577

5 0.027884 1.000005 1.000004 0.005577

6 0.033460 1.000009 1.000007 0.005577

7 0.039037 1.000015 1.000012 0.005577

8 0.044614 1.000024 1.000020 0.005577

9 0.050191 1.000036 1.000030 0.005577

10 0.055767 1.000051 1.000044 0.005577

11 0.061344 1.000071 1.000061 0.005577

12 0.066921 1.000096 1.000084 0.005577

13 0.072498 1.000126 1.000111 0.005577

14 0.078074 1.000163 1.000144 0.005578

15 0.083651 1.000206 1.000184 0.005578

16 0.089228 1.000257 1.000231 0.005578

17 0.094805 1.000316 1.000286 0.005578

18 0.100381 1.000384 1.000350 0.005579

19 0.105958 1.000463 1.000423 0.005579

20 0.111535 1.000551 1.000507 0.005580

21 0.117112 1.000652 1.000601 0.005580

22 0.122688 1.000764 1.000708 0.005581

23 0.128265 1.000890 1.000827 0.005581

24 0.133842 1.001029 1.000959 0.005582

25 0.139419 1.001184 1.001106 0.005583

26 0.144995 1.001354 1.001269 0.005584

27 0.150572 1.001541 1.001447 0.005585

28 0.156149 1.001745 1.001643 0.005586

29 0.161726 1.001968 1.001857 0.005587

6

Page 276: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.167302 1.002211 1.002089 0.005588

31 0.172879 1.002474 1.002342 0.005590

32 0.178456 1.002758 1.002616 0.005591

33 0.184033 1.003066 1.002912 0.005593

34 0.189609 1.003396 1.003231 0.005595

35 0.195186 1.003752 1.003574 0.005597

36 0.200763 1.004133 1.003942 0.005599

37 0.206340 1.004541 1.004337 0.005601

38 0.211916 1.004977 1.004759 0.005603

39 0.217493 1.005442 1.005209 0.005606

40 0.223070 1.005937 1.005689 0.005608

41 0.228647 1.006464 1.006200 0.005611

42 0.234223 1.007023 1.006743 0.005614

43 0.239800 1.007616 1.007320 0.005618

44 0.245377 1.008244 1.007930 0.005621

45 0.250954 1.008909 1.008577 0.005625

46 0.256530 1.009612 1.009260 0.005628

47 0.262107 1.010353 1.009982 0.005632

48 0.267684 1.011135 1.010744 0.005637

49 0.273261 1.011958 1.011547 0.005641

50 0.278837 1.012825 1.012392 0.005646

51 0.284414 1.013736 1.013281 0.005651

52 0.289991 1.014694 1.014215 0.005656

53 0.295568 1.015699 1.015196 0.005661

54 0.301144 1.016753 1.016226 0.005667

55 0.306721 1.017857 1.017305 0.005673

56 0.312298 1.019014 1.018436 0.005680

57 0.317875 1.020225 1.019620 0.005686

58 0.323451 1.021492 1.020858 0.005693

59 0.329028 1.022816 1.022154 0.005700

60 0.334605 1.024199 1.023507 0.005708

61 0.340182 1.025642 1.024921 0.005716

62 0.345758 1.027149 1.026396 0.005724

63 0.351335 1.028721 1.027935 0.005733

64 0.356912 1.030359 1.029540 0.005741

65 0.362489 1.032065 1.031212 0.005751

66 0.368065 1.033843 1.032954 0.005761

67 0.373642 1.035693 1.034768 0.005771

68 0.379219 1.037619 1.036656 0.005781

69 0.384796 1.039621 1.038620 0.005792

70 0.390372 1.041704 1.040663 0.005804

71 0.395949 1.043869 1.042786 0.005815

Page 277: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.401526 1.046118 1.044993 0.005828

73 0.407103 1.048454 1.047286 0.005840

74 0.412679 1.050880 1.049667 0.005854

75 0.418256 1.053399 1.052140 0.005868

76 0.423833 1.056013 1.054706 0.005882

77 0.429410 1.058725 1.057369 0.005897

78 0.434986 1.061538 1.060132 0.005912

79 0.440563 1.064456 1.062997 0.005928

80 0.446140 1.067482 1.065969 0.005945

81 0.451717 1.070618 1.069050 0.005962

82 0.457293 1.073869 1.072244 0.005980

83 0.462870 1.077239 1.075554 0.005998

84 0.468447 1.080730 1.078984 0.006017

85 0.474023 1.084346 1.082538 0.006037

86 0.479600 1.088093 1.086220 0.006058

87 0.485177 1.091974 1.090033 0.006079

88 0.490754 1.095993 1.093983 0.006101

89 0.496330 1.100155 1.098074 0.006124

90 0.501907 1.104466 1.102310 0.006147

91 0.507484 1.108929 1.106697 0.006172

92 0.513061 1.113550 1.111239 0.006197

93 0.518637 1.118334 1.115942 0.006223

94 0.524214 1.123288 1.120811 0.006250

95 0.529791 1.128416 1.125852 0.006279

96 0.535368 1.133726 1.131071 0.006308

97 0.540944 1.139224 1.136475 0.006338

98 0.546521 1.144916 1.142070 0.006369

99 0.552098 1.150810 1.147863 0.006401

100 0.557675 1.156913 1.153862 0.006435

101 0.563251 1.163234 1.160074 0.006469

102 0.568828 1.169779 1.166506 0.006505

103 0.574405 1.176559 1.173169 0.006542

104 0.579982 1.183582 1.180070 0.006581

105 0.585558 1.190857 1.187219 0.006621

106 0.591135 1.198395 1.194626 0.006662

107 0.596712 1.206207 1.202301 0.006705

108 0.602289 1.214304 1.210256 0.006749

109 0.607865 1.222698 1.218501 0.006795

110 0.613442 1.231401 1.227049 0.006843

111 0.619019 1.240426 1.235913 0.006892

112 0.624596 1.249789 1.245107 0.006944

113 0.630172 1.259503 1.254646 0.006997

114 0.635749 1.269584 1.264543 0.007052

Page 278: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.641326 1.280050 1.274817 0.007109

116 0.646903 1.290918 1.285484 0.007169

117 0.652479 1.302208 1.296563 0.007231

118 0.658056 1.313939 1.308074 0.007295

119 0.663633 1.326134 1.320036 0.007362

120 0.669210 1.338814 1.332474 0.007431

121 0.674786 1.352006 1.345410 0.007503

122 0.680363 1.365734 1.358870 0.007578

123 0.685940 1.380028 1.372881 0.007656

124 0.691517 1.394918 1.387473 0.007738

125 0.697093 1.410436 1.402677 0.007822

126 0.702670 1.426617 1.418527 0.007911

127 0.708247 1.443498 1.435058 0.008003

128 0.713824 1.461121 1.452310 0.008099

129 0.719400 1.479528 1.470325 0.008200

130 0.724977 1.498767 1.489148 0.008305

131 0.730554 1.518890 1.508829 0.008414

132 0.736131 1.539951 1.529420 0.008529

133 0.741707 1.562011 1.550981 0.008649

134 0.747284 1.585135 1.573573 0.008775

135 0.752861 1.609395 1.597265 0.008908

136 0.758438 1.634869 1.622132 0.009046

137 0.764014 1.661642 1.648255 0.009192

138 0.769591 1.689808 1.675725 0.009345

139 0.775168 1.719471 1.704640 0.009506

140 0.780745 1.750743 1.735107 0.009676

141 0.786321 1.783750 1.767247 0.009855

142 0.791898 1.818631 1.801191 0.010045

143 0.797475 1.855540 1.837085 0.010245

144 0.803052 1.894647 1.875093 0.010457

145 0.808628 1.936146 1.915397 0.010682

146 0.814205 1.980250 1.958198 0.010920

147 0.819782 2.027200 2.003725 0.011174

148 0.825359 2.077268 2.052234 0.011445

149 0.830935 2.130762 2.104015 0.011734

150 0.836512 2.188031 2.159396 0.012042

151 0.842089 2.249475 2.218753 0.012373

152 0.847666 2.315550 2.282513 0.012729

153 0.853242 2.386785 2.351168 0.013112

154 0.858819 2.463789 2.425287 0.013525

155 0.864396 2.547273 2.505531 0.013973

156 0.869973 2.638069 2.592671 0.014459

157 0.875549 2.737160 2.687614 0.014988

Page 279: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.881126 2.845711 2.791435 0.015567

159 0.886703 2.965118 2.905415 0.016203

160 0.892280 3.097067 3.031093 0.016904

161 0.897856 3.243609 3.170338 0.017680

162 0.903433 3.407271 3.325440 0.018545

163 0.909010 3.591200 3.499236 0.019514

164 0.914587 3.799364 3.695282 0.020608

165 0.920163 4.036839 3.918101 0.021850

166 0.925740 4.310227 4.173533 0.023275

167 0.931317 4.628274 4.469251 0.024924

168 0.936893 5.002818 4.815546 0.026855

169 0.942470 5.450284 5.226551 0.029147

170 0.948047 5.994155 5.722219 0.031911

171 0.953624 6.669203 6.331679 0.035310

172 0.959200 7.529218 7.099211 0.039591

173 0.964777 8.662051 8.095635 0.045147

174 0.970354 10.221657 9.441854 0.052655

175 0.975931 12.504676 11.363166 0.063370

176 0.981507 16.165572 14.335124 0.079943

177 0.987084 22.989145 19.577358 0.109178

178 0.992661 40.185096 31.587121 0.176153

179 0.998238 166.223346 103.204221 0.575544

180 1.003814 -76.278900 44.972223 0.250799

181 1.009391 -30.774386 -53.526643 -0.298505

182 1.014968 -19.179002 -24.976694 -0.139289

183 1.020545 -13.879397 -16.529199 -0.092179

184 1.026121 -10.843251 -12.361324 -0.068936

185 1.031698 -8.875911 -9.859581 -0.054984

186 1.037275 -7.497658 -8.186785 -0.045656

187 1.042852 -6.478497 -6.988077 -0.038971

188 1.048428 -5.694370 -6.086434 -0.033942

189 1.054005 -5.072466 -5.383418 -0.030022

190 1.059582 -4.567230 -4.819848 -0.026879

191 1.065159 -4.148705 -4.357968 -0.024303

192 1.070735 -3.796381 -3.972543 -0.022154

193 1.076312 -3.495741 -3.646061 -0.020333

194 1.081889 -3.236226 -3.365984 -0.018771

195 1.087466 -3.009967 -3.123097 -0.017417

196 1.093042 -2.810984 -2.910475 -0.016231

197 1.098619 -2.634647 -2.722816 -0.015184

198 1.104196 -2.477320 -2.555984 -0.014254

199 1.109773 -2.336105 -2.406712 -0.013422

200 1.115349 -2.208662 -2.272383 -0.012673

Page 280: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.79337

Page 281: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.0809

N 3.4210

RESULTADO

F(u,N) 13.5193

CALCULOSxo 0 N tramos= 200xn 1.08094 0.005405C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005405 1.000000 1.000000 0.005405

2 0.010809 1.000000 1.000000 0.005405

3 0.016214 1.000001 1.000000 0.005405

4 0.021619 1.000002 1.000001 0.005405

5 0.027024 1.000004 1.000003 0.005405

6 0.032428 1.000008 1.000006 0.005405

7 0.037833 1.000014 1.000011 0.005405

8 0.043238 1.000022 1.000018 0.005405

9 0.048642 1.000032 1.000027 0.005405

10 0.054047 1.000046 1.000039 0.005405

11 0.059452 1.000064 1.000055 0.005405

12 0.064857 1.000086 1.000075 0.005405

13 0.070261 1.000113 1.000100 0.005405

14 0.075666 1.000146 1.000130 0.005405

15 0.081071 1.000185 1.000166 0.005406

16 0.086475 1.000231 1.000208 0.005406

17 0.091880 1.000284 1.000257 0.005406

18 0.097285 1.000345 1.000315 0.005406

19 0.102689 1.000416 1.000380 0.005407

20 0.108094 1.000495 1.000455 0.005407

21 0.113499 1.000585 1.000540 0.005408

22 0.118904 1.000686 1.000636 0.005408

23 0.124308 1.000799 1.000743 0.005409

24 0.129713 1.000924 1.000862 0.005409

25 0.135118 1.001063 1.000994 0.005410

26 0.140522 1.001216 1.001140 0.005411

27 0.145927 1.001384 1.001300 0.005412

28 0.151332 1.001567 1.001476 0.005413

29 0.156737 1.001768 1.001668 0.005414

7

Page 282: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.162141 1.001986 1.001877 0.005415

31 0.167546 1.002222 1.002104 0.005416

32 0.172951 1.002477 1.002350 0.005417

33 0.178355 1.002753 1.002615 0.005419

34 0.183760 1.003050 1.002902 0.005420

35 0.189165 1.003369 1.003209 0.005422

36 0.194570 1.003711 1.003540 0.005424

37 0.199974 1.004077 1.003894 0.005426

38 0.205379 1.004469 1.004273 0.005428

39 0.210784 1.004886 1.004677 0.005430

40 0.216188 1.005330 1.005108 0.005432

41 0.221593 1.005803 1.005566 0.005435

42 0.226998 1.006305 1.006054 0.005437

43 0.232402 1.006837 1.006571 0.005440

44 0.237807 1.007400 1.007118 0.005443

45 0.243212 1.007996 1.007698 0.005446

46 0.248617 1.008626 1.008311 0.005450

47 0.254021 1.009291 1.008958 0.005453

48 0.259426 1.009992 1.009641 0.005457

49 0.264831 1.010730 1.010361 0.005461

50 0.270235 1.011506 1.011118 0.005465

51 0.275640 1.012323 1.011915 0.005469

52 0.281045 1.013180 1.012752 0.005474

53 0.286450 1.014080 1.013630 0.005478

54 0.291854 1.015024 1.014552 0.005483

55 0.297259 1.016013 1.015519 0.005489

56 0.302664 1.017049 1.016531 0.005494

57 0.308068 1.018132 1.017590 0.005500

58 0.313473 1.019265 1.018698 0.005506

59 0.318878 1.020449 1.019857 0.005512

60 0.324283 1.021685 1.021067 0.005519

61 0.329687 1.022976 1.022331 0.005525

62 0.335092 1.024322 1.023649 0.005533

63 0.340497 1.025726 1.025024 0.005540

64 0.345901 1.027189 1.026457 0.005548

65 0.351306 1.028712 1.027950 0.005556

66 0.356711 1.030298 1.029505 0.005564

67 0.362115 1.031949 1.031124 0.005573

68 0.367520 1.033666 1.032807 0.005582

69 0.372925 1.035451 1.034558 0.005591

70 0.378330 1.037307 1.036379 0.005601

71 0.383734 1.039234 1.038270 0.005612

Page 283: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.389139 1.041236 1.040235 0.005622

73 0.394544 1.043315 1.042276 0.005633

74 0.399948 1.045473 1.044394 0.005645

75 0.405353 1.047712 1.046592 0.005657

76 0.410758 1.050034 1.048873 0.005669

77 0.416163 1.052442 1.051238 0.005682

78 0.421567 1.054939 1.053691 0.005695

79 0.426972 1.057527 1.056233 0.005709

80 0.432377 1.060209 1.058868 0.005723

81 0.437781 1.062988 1.061598 0.005738

82 0.443186 1.065866 1.064427 0.005753

83 0.448591 1.068846 1.067356 0.005769

84 0.453996 1.071933 1.070390 0.005785

85 0.459400 1.075128 1.073531 0.005802

86 0.464805 1.078436 1.076782 0.005820

87 0.470210 1.081859 1.080147 0.005838

88 0.475614 1.085402 1.083630 0.005857

89 0.481019 1.089068 1.087235 0.005876

90 0.486424 1.092860 1.090964 0.005896

91 0.491828 1.096784 1.094822 0.005917

92 0.497233 1.100843 1.098813 0.005939

93 0.502638 1.105041 1.102942 0.005961

94 0.508043 1.109384 1.107213 0.005984

95 0.513447 1.113876 1.111630 0.006008

96 0.518852 1.118521 1.116199 0.006033

97 0.524257 1.123326 1.120924 0.006058

98 0.529661 1.128295 1.125811 0.006085

99 0.535066 1.133434 1.130865 0.006112

100 0.540471 1.138750 1.136092 0.006140

101 0.545876 1.144247 1.141498 0.006169

102 0.551280 1.149933 1.147090 0.006200

103 0.556685 1.155815 1.152874 0.006231

104 0.562090 1.161899 1.158857 0.006263

105 0.567494 1.168193 1.165046 0.006297

106 0.572899 1.174705 1.171449 0.006331

107 0.578304 1.181442 1.178074 0.006367

108 0.583709 1.188415 1.184929 0.006404

109 0.589113 1.195631 1.192023 0.006443

110 0.594518 1.203101 1.199366 0.006482

111 0.599923 1.210833 1.206967 0.006523

112 0.605327 1.218840 1.214837 0.006566

113 0.610732 1.227132 1.222986 0.006610

114 0.616137 1.235721 1.231426 0.006655

Page 284: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.621541 1.244619 1.240170 0.006703

116 0.626946 1.253839 1.249229 0.006752

117 0.632351 1.263396 1.258618 0.006802

118 0.637756 1.273305 1.268350 0.006855

119 0.643160 1.283580 1.278442 0.006910

120 0.648565 1.294239 1.288909 0.006966

121 0.653970 1.305299 1.299769 0.007025

122 0.659374 1.316779 1.311039 0.007086

123 0.664779 1.328700 1.322739 0.007149

124 0.670184 1.341081 1.334890 0.007215

125 0.675589 1.353947 1.347514 0.007283

126 0.680993 1.367321 1.360634 0.007354

127 0.686398 1.381229 1.374275 0.007428

128 0.691803 1.395699 1.388464 0.007504

129 0.697207 1.410760 1.403229 0.007584

130 0.702612 1.426445 1.418603 0.007667

131 0.708017 1.442788 1.434616 0.007754

132 0.713422 1.459825 1.451306 0.007844

133 0.718826 1.477596 1.468710 0.007938

134 0.724231 1.496143 1.486869 0.008036

135 0.729636 1.515514 1.505828 0.008139

136 0.735040 1.535757 1.525635 0.008246

137 0.740445 1.556927 1.546342 0.008358

138 0.745850 1.579082 1.568004 0.008475

139 0.751254 1.602286 1.590684 0.008597

140 0.756659 1.626608 1.614447 0.008726

141 0.762064 1.652125 1.639367 0.008860

142 0.767469 1.678918 1.665521 0.009002

143 0.772873 1.707078 1.692998 0.009150

144 0.778278 1.736706 1.721892 0.009306

145 0.783683 1.767909 1.752307 0.009471

146 0.789087 1.800808 1.784358 0.009644

147 0.794492 1.835537 1.818173 0.009827

148 0.799897 1.872244 1.853890 0.010020

149 0.805302 1.911091 1.891667 0.010224

150 0.810706 1.952263 1.931677 0.010440

151 0.816111 1.995962 1.974113 0.010670

152 0.821516 2.042419 2.019191 0.010913

153 0.826920 2.091890 2.067155 0.011172

154 0.832325 2.144666 2.118278 0.011449

155 0.837730 2.201077 2.172872 0.011744

156 0.843135 2.261498 2.231287 0.012059

157 0.848539 2.326355 2.293926 0.012398

Page 285: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.853944 2.396143 2.361249 0.012762

159 0.859349 2.471427 2.433785 0.013154

160 0.864753 2.552866 2.512146 0.013577

161 0.870158 2.641227 2.597046 0.014036

162 0.875563 2.737411 2.689319 0.014535

163 0.880968 2.842483 2.789947 0.015079

164 0.886372 2.957709 2.900096 0.015674

165 0.891777 3.084610 3.021160 0.016328

166 0.897182 3.225026 3.154818 0.017051

167 0.902586 3.381205 3.303115 0.017852

168 0.907991 3.555922 3.468563 0.018747

169 0.913396 3.752648 3.654285 0.019750

170 0.918800 3.975775 3.864211 0.020885

171 0.924205 4.230949 4.103362 0.022177

172 0.929610 4.525551 4.378250 0.023663

173 0.935015 4.869416 4.697483 0.025389

174 0.940419 5.275948 5.072682 0.027416

175 0.945824 5.763899 5.519923 0.029834

176 0.951229 6.360336 6.062118 0.032764

177 0.956633 7.105817 6.733076 0.036390

178 0.962038 8.063996 7.584907 0.040994

179 0.967443 9.340800 8.702398 0.047034

180 0.972848 11.126488 10.233644 0.055310

181 0.978252 13.800458 12.463473 0.067361

182 0.983657 18.243977 16.022217 0.086595

183 0.989062 27.080074 22.662025 0.122482

184 0.994466 53.179486 40.129780 0.216890

185 0.999871 2267.946312 1160.562899 6.272504

186 1.005276 -55.053096 1106.446608 5.980022

187 1.010681 -27.017354 -41.035225 -0.221783

188 1.016085 -17.822824 -22.420089 -0.121174

189 1.021490 -13.253828 -15.538326 -0.083980

190 1.026895 -10.521738 -11.887783 -0.064250

191 1.032299 -8.704432 -9.613085 -0.051956

192 1.037704 -7.408517 -8.056474 -0.043543

193 1.043109 -6.437882 -6.923199 -0.037418

194 1.048513 -5.683812 -6.060847 -0.032757

195 1.053918 -5.081179 -5.382495 -0.029091

196 1.059323 -4.588590 -4.834884 -0.026131

197 1.064728 -4.178477 -4.383534 -0.023692

198 1.070132 -3.831772 -4.005125 -0.021647

199 1.075537 -3.534862 -3.683317 -0.019907

200 1.080942 -3.277770 -3.406316 -0.018410

Page 286: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 13.51929

Page 287: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.0467

N 3.4210

RESULTADO

F(u,N) 5.2109

CALCULOSxo 0 N tramos= 200xn 1.04670 0.005234C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005234 1.000000 1.000000 0.005234

2 0.010467 1.000000 1.000000 0.005234

3 0.015701 1.000001 1.000000 0.005234

4 0.020934 1.000002 1.000001 0.005234

5 0.026168 1.000004 1.000003 0.005234

6 0.031401 1.000007 1.000006 0.005234

7 0.036635 1.000012 1.000010 0.005234

8 0.041868 1.000019 1.000016 0.005234

9 0.047102 1.000029 1.000024 0.005234

10 0.052335 1.000041 1.000035 0.005234

11 0.057569 1.000057 1.000049 0.005234

12 0.062802 1.000077 1.000067 0.005234

13 0.068036 1.000102 1.000089 0.005234

14 0.073269 1.000131 1.000116 0.005234

15 0.078503 1.000166 1.000148 0.005234

16 0.083736 1.000207 1.000186 0.005234

17 0.088970 1.000254 1.000231 0.005235

18 0.094203 1.000309 1.000282 0.005235

19 0.099437 1.000372 1.000341 0.005235

20 0.104670 1.000444 1.000408 0.005236

21 0.109904 1.000524 1.000484 0.005236

22 0.115137 1.000615 1.000569 0.005237

23 0.120371 1.000716 1.000665 0.005237

24 0.125604 1.000828 1.000772 0.005238

25 0.130838 1.000952 1.000890 0.005238

26 0.136072 1.001089 1.001021 0.005239

27 0.141305 1.001239 1.001164 0.005240

28 0.146539 1.001404 1.001322 0.005240

29 0.151772 1.001583 1.001493 0.005241

8

Page 288: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.157006 1.001778 1.001681 0.005242

31 0.162239 1.001990 1.001884 0.005243

32 0.167473 1.002218 1.002104 0.005245

33 0.172706 1.002465 1.002342 0.005246

34 0.177940 1.002731 1.002598 0.005247

35 0.183173 1.003017 1.002874 0.005249

36 0.188407 1.003323 1.003170 0.005250

37 0.193640 1.003651 1.003487 0.005252

38 0.198874 1.004001 1.003826 0.005254

39 0.204107 1.004374 1.004187 0.005255

40 0.209341 1.004772 1.004573 0.005257

41 0.214574 1.005195 1.004983 0.005260

42 0.219808 1.005643 1.005419 0.005262

43 0.225041 1.006119 1.005881 0.005264

44 0.230275 1.006623 1.006371 0.005267

45 0.235508 1.007157 1.006890 0.005270

46 0.240742 1.007720 1.007438 0.005272

47 0.245975 1.008314 1.008017 0.005275

48 0.251209 1.008941 1.008627 0.005279

49 0.256443 1.009600 1.009270 0.005282

50 0.261676 1.010294 1.009947 0.005286

51 0.266910 1.011024 1.010659 0.005289

52 0.272143 1.011790 1.011407 0.005293

53 0.277377 1.012594 1.012192 0.005297

54 0.282610 1.013437 1.013015 0.005302

55 0.287844 1.014320 1.013878 0.005306

56 0.293077 1.015244 1.014782 0.005311

57 0.298311 1.016211 1.015727 0.005316

58 0.303544 1.017222 1.016716 0.005321

59 0.308778 1.018278 1.017750 0.005326

60 0.314011 1.019381 1.018829 0.005332

61 0.319245 1.020531 1.019956 0.005338

62 0.324478 1.021731 1.021131 0.005344

63 0.329712 1.022982 1.022357 0.005351

64 0.334945 1.024285 1.023633 0.005357

65 0.340179 1.025642 1.024963 0.005364

66 0.345412 1.027054 1.026348 0.005371

67 0.350646 1.028523 1.027788 0.005379

68 0.355879 1.030050 1.029286 0.005387

69 0.361113 1.031638 1.030844 0.005395

70 0.366346 1.033287 1.032463 0.005403

71 0.371580 1.035000 1.034144 0.005412

Page 289: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.376813 1.036779 1.035890 0.005421

73 0.382047 1.038625 1.037702 0.005431

74 0.387281 1.040539 1.039582 0.005441

75 0.392514 1.042525 1.041532 0.005451

76 0.397748 1.044585 1.043555 0.005461

77 0.402981 1.046719 1.045652 0.005472

78 0.408215 1.048931 1.047825 0.005484

79 0.413448 1.051222 1.050076 0.005496

80 0.418682 1.053595 1.052408 0.005508

81 0.423915 1.056052 1.054824 0.005520

82 0.429149 1.058596 1.057324 0.005534

83 0.434382 1.061229 1.059912 0.005547

84 0.439616 1.063953 1.062591 0.005561

85 0.444849 1.066772 1.065363 0.005576

86 0.450083 1.069688 1.068230 0.005591

87 0.455316 1.072704 1.071196 0.005606

88 0.460550 1.075822 1.074263 0.005622

89 0.465783 1.079047 1.077435 0.005639

90 0.471017 1.082381 1.080714 0.005656

91 0.476250 1.085827 1.084104 0.005674

92 0.481484 1.089389 1.087608 0.005692

93 0.486717 1.093070 1.091229 0.005711

94 0.491951 1.096874 1.094972 0.005731

95 0.497184 1.100806 1.098840 0.005751

96 0.502418 1.104868 1.102837 0.005772

97 0.507652 1.109065 1.106966 0.005793

98 0.512885 1.113401 1.111233 0.005816

99 0.518119 1.117882 1.115642 0.005839

100 0.523352 1.122511 1.120196 0.005863

101 0.528586 1.127293 1.124902 0.005887

102 0.533819 1.132233 1.129763 0.005913

103 0.539053 1.137337 1.134785 0.005939

104 0.544286 1.142611 1.139974 0.005966

105 0.549520 1.148060 1.145335 0.005994

106 0.554753 1.153690 1.150875 0.006023

107 0.559987 1.159507 1.156598 0.006053

108 0.565220 1.165518 1.162513 0.006084

109 0.570454 1.171731 1.168625 0.006116

110 0.575687 1.178152 1.174941 0.006149

111 0.580921 1.184789 1.181470 0.006183

112 0.586154 1.191650 1.188219 0.006219

113 0.591388 1.198743 1.195197 0.006255

114 0.596621 1.206078 1.202411 0.006293

Page 290: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.601855 1.213664 1.209871 0.006332

116 0.607088 1.221510 1.217587 0.006372

117 0.612322 1.229627 1.225568 0.006414

118 0.617555 1.238026 1.233826 0.006457

119 0.622789 1.246718 1.242372 0.006502

120 0.628022 1.255715 1.251216 0.006548

121 0.633256 1.265031 1.260373 0.006596

122 0.638490 1.274678 1.269854 0.006646

123 0.643723 1.284671 1.279675 0.006697

124 0.648957 1.295026 1.289849 0.006750

125 0.654190 1.305759 1.300393 0.006806

126 0.659424 1.316886 1.311322 0.006863

127 0.664657 1.328425 1.322656 0.006922

128 0.669891 1.340397 1.334411 0.006984

129 0.675124 1.352822 1.346609 0.007048

130 0.680358 1.365721 1.359271 0.007114

131 0.685591 1.379118 1.372419 0.007183

132 0.690825 1.393037 1.386078 0.007254

133 0.696058 1.407507 1.400272 0.007328

134 0.701292 1.422554 1.415030 0.007406

135 0.706525 1.438210 1.430382 0.007486

136 0.711759 1.454507 1.446359 0.007570

137 0.716992 1.471481 1.462994 0.007657

138 0.722226 1.489169 1.480325 0.007747

139 0.727459 1.507612 1.498390 0.007842

140 0.732693 1.526854 1.517233 0.007940

141 0.737926 1.546942 1.536898 0.008043

142 0.743160 1.567929 1.557435 0.008151

143 0.748393 1.589868 1.578898 0.008263

144 0.753627 1.612821 1.601344 0.008381

145 0.758861 1.636852 1.624837 0.008504

146 0.764094 1.662034 1.649443 0.008632

147 0.769328 1.688445 1.675240 0.008767

148 0.774561 1.716168 1.702306 0.008909

149 0.779795 1.745297 1.730732 0.009058

150 0.785028 1.775935 1.760616 0.009214

151 0.790262 1.808193 1.792064 0.009379

152 0.795495 1.842195 1.825194 0.009552

153 0.800729 1.878079 1.860137 0.009735

154 0.805962 1.915995 1.897037 0.009928

155 0.811196 1.956113 1.936054 0.010132

156 0.816429 1.998619 1.977366 0.010349

157 0.821663 2.043724 2.021172 0.010578

Page 291: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.826896 2.091662 2.067693 0.010821

159 0.832130 2.142698 2.117180 0.011080

160 0.837363 2.197130 2.169914 0.011356

161 0.842597 2.255295 2.226212 0.011651

162 0.847830 2.317579 2.286437 0.011966

163 0.853064 2.384420 2.351000 0.012304

164 0.858297 2.456323 2.420372 0.012667

165 0.863531 2.533869 2.495096 0.013058

166 0.868764 2.617733 2.575801 0.013481

167 0.873998 2.708699 2.663216 0.013938

168 0.879231 2.807692 2.758195 0.014435

169 0.884465 2.915800 2.861746 0.014977

170 0.889699 3.034320 2.975060 0.015570

171 0.894932 3.164806 3.099563 0.016222

172 0.900166 3.309140 3.236973 0.016941

173 0.905399 3.469618 3.389379 0.017738

174 0.910633 3.649075 3.559347 0.018628

175 0.915866 3.851052 3.750064 0.019626

176 0.921100 4.080028 3.965540 0.020754

177 0.926333 4.341756 4.210892 0.022038

178 0.931567 4.643749 4.492753 0.023513

179 0.936800 4.996007 4.819878 0.025225

180 0.942034 5.412143 5.204075 0.027236

181 0.947267 5.911174 5.661659 0.029630

182 0.952501 6.520498 6.215836 0.032531

183 0.957734 7.281083 6.900790 0.036115

184 0.962968 8.257055 7.769069 0.040660

185 0.968201 9.554759 8.905907 0.046609

186 0.973435 11.364340 10.459549 0.054740

187 0.978668 14.062547 12.713444 0.066536

188 0.983902 18.516055 16.289301 0.085250

189 0.989135 27.261467 22.888761 0.119789

190 0.994369 52.265500 39.763483 0.208103

191 0.999602 735.669348 393.967424 2.061837

192 1.004836 -60.091840 337.788754 1.767824

193 1.010070 -28.677855 -44.384847 -0.232289

194 1.015303 -18.751476 -23.714665 -0.124111

195 1.020537 -13.885039 -16.318257 -0.085402

196 1.025770 -10.995742 -12.440390 -0.065107

197 1.031004 -9.082336 -10.039039 -0.052540

198 1.036237 -7.721990 -8.402163 -0.043973

199 1.041471 -6.705317 -7.213654 -0.037753

200 1.046704 -5.916782 -6.311050 -0.033029

Page 292: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 5.21089

Page 293: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.0126

N 3.4210

RESULTADO

F(u,N) 1.7997

CALCULOSxo 0 N tramos= 200xn 1.01264 0.005063C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.005063 1.000000 1.000000 0.005063

2 0.010126 1.000000 1.000000 0.005063

3 0.015190 1.000001 1.000000 0.005063

4 0.020253 1.000002 1.000001 0.005063

5 0.025316 1.000003 1.000003 0.005063

6 0.030379 1.000006 1.000005 0.005063

7 0.035442 1.000011 1.000009 0.005063

8 0.040506 1.000017 1.000014 0.005063

9 0.045569 1.000026 1.000022 0.005063

10 0.050632 1.000037 1.000031 0.005063

11 0.055695 1.000051 1.000044 0.005063

12 0.060758 1.000069 1.000060 0.005064

13 0.065822 1.000091 1.000080 0.005064

14 0.070885 1.000117 1.000104 0.005064

15 0.075948 1.000148 1.000132 0.005064

16 0.081011 1.000185 1.000166 0.005064

17 0.086074 1.000227 1.000206 0.005064

18 0.091138 1.000276 1.000252 0.005064

19 0.096201 1.000332 1.000304 0.005065

20 0.101264 1.000396 1.000364 0.005065

21 0.106327 1.000468 1.000432 0.005065

22 0.111390 1.000549 1.000508 0.005066

23 0.116454 1.000639 1.000594 0.005066

24 0.121517 1.000739 1.000689 0.005067

25 0.126580 1.000850 1.000795 0.005067

26 0.131643 1.000972 1.000911 0.005068

27 0.136706 1.001107 1.001039 0.005068

28 0.141770 1.001253 1.001180 0.005069

29 0.146833 1.001413 1.001333 0.005070

9

Page 294: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.151896 1.001588 1.001501 0.005071

31 0.156959 1.001776 1.001682 0.005072

32 0.162022 1.001981 1.001878 0.005073

33 0.167086 1.002201 1.002091 0.005074

34 0.172149 1.002438 1.002320 0.005075

35 0.177212 1.002693 1.002566 0.005076

36 0.182275 1.002966 1.002830 0.005078

37 0.187338 1.003259 1.003112 0.005079

38 0.192402 1.003571 1.003415 0.005080

39 0.197465 1.003904 1.003738 0.005082

40 0.202528 1.004259 1.004082 0.005084

41 0.207591 1.004636 1.004448 0.005086

42 0.212655 1.005037 1.004836 0.005088

43 0.217718 1.005461 1.005249 0.005090

44 0.222781 1.005910 1.005686 0.005092

45 0.227844 1.006386 1.006148 0.005094

46 0.232907 1.006888 1.006637 0.005097

47 0.237971 1.007418 1.007153 0.005099

48 0.243034 1.007976 1.007697 0.005102

49 0.248097 1.008564 1.008270 0.005105

50 0.253160 1.009183 1.008873 0.005108

51 0.258223 1.009832 1.009507 0.005111

52 0.263287 1.010515 1.010174 0.005115

53 0.268350 1.011231 1.010873 0.005118

54 0.273413 1.011981 1.011606 0.005122

55 0.278476 1.012768 1.012374 0.005126

56 0.283539 1.013590 1.013179 0.005130

57 0.288603 1.014451 1.014021 0.005134

58 0.293666 1.015350 1.014901 0.005139

59 0.298729 1.016290 1.015820 0.005143

60 0.303792 1.017271 1.016780 0.005148

61 0.308855 1.018294 1.017782 0.005153

62 0.313919 1.019361 1.018827 0.005159

63 0.318982 1.020472 1.019916 0.005164

64 0.324045 1.021630 1.021051 0.005170

65 0.329108 1.022835 1.022232 0.005176

66 0.334171 1.024089 1.023462 0.005182

67 0.339235 1.025393 1.024741 0.005188

68 0.344298 1.026748 1.026071 0.005195

69 0.349361 1.028157 1.027453 0.005202

70 0.354424 1.029620 1.028888 0.005209

71 0.359487 1.031138 1.030379 0.005217

Page 295: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.364551 1.032714 1.031926 0.005225

73 0.369614 1.034349 1.033532 0.005233

74 0.374677 1.036045 1.035197 0.005241

75 0.379740 1.037803 1.036924 0.005250

76 0.384803 1.039624 1.038713 0.005259

77 0.389867 1.041512 1.040568 0.005269

78 0.394930 1.043467 1.042489 0.005278

79 0.399993 1.045491 1.044479 0.005288

80 0.405056 1.047587 1.046539 0.005299

81 0.410119 1.049755 1.048671 0.005310

82 0.415183 1.051999 1.050877 0.005321

83 0.420246 1.054320 1.053160 0.005332

84 0.425309 1.056721 1.055521 0.005344

85 0.430372 1.059203 1.057962 0.005357

86 0.435435 1.061769 1.060486 0.005369

87 0.440499 1.064422 1.063096 0.005383

88 0.445562 1.067163 1.065793 0.005396

89 0.450625 1.069996 1.068579 0.005410

90 0.455688 1.072922 1.071459 0.005425

91 0.460751 1.075944 1.074433 0.005440

92 0.465815 1.079066 1.077505 0.005456

93 0.470878 1.082291 1.080678 0.005472

94 0.475941 1.085620 1.083955 0.005488

95 0.481004 1.089057 1.087339 0.005505

96 0.486067 1.092606 1.090832 0.005523

97 0.491131 1.096270 1.094438 0.005541

98 0.496194 1.100052 1.098161 0.005560

99 0.501257 1.103955 1.102003 0.005580

100 0.506320 1.107984 1.105970 0.005600

101 0.511383 1.112143 1.110064 0.005620

102 0.516447 1.116435 1.114289 0.005642

103 0.521510 1.120864 1.118649 0.005664

104 0.526573 1.125435 1.123150 0.005687

105 0.531636 1.130153 1.127794 0.005710

106 0.536699 1.135022 1.132587 0.005735

107 0.541763 1.140047 1.137534 0.005760

108 0.546826 1.145233 1.142640 0.005785

109 0.551889 1.150586 1.147909 0.005812

110 0.556952 1.156111 1.153348 0.005840

111 0.562015 1.161814 1.158962 0.005868

112 0.567079 1.167701 1.164757 0.005897

113 0.572142 1.173779 1.170740 0.005928

114 0.577205 1.180054 1.176916 0.005959

Page 296: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.582268 1.186534 1.183294 0.005991

116 0.587332 1.193225 1.189879 0.006025

117 0.592395 1.200135 1.196680 0.006059

118 0.597458 1.207274 1.203705 0.006095

119 0.602521 1.214648 1.210961 0.006131

120 0.607584 1.222267 1.218458 0.006169

121 0.612648 1.230141 1.226204 0.006209

122 0.617711 1.238279 1.234210 0.006249

123 0.622774 1.246692 1.242486 0.006291

124 0.627837 1.255391 1.251042 0.006334

125 0.632900 1.264387 1.259889 0.006379

126 0.637964 1.273693 1.269040 0.006425

127 0.643027 1.283321 1.278507 0.006473

128 0.648090 1.293286 1.288304 0.006523

129 0.653153 1.303601 1.298444 0.006574

130 0.658216 1.314283 1.308942 0.006627

131 0.663280 1.325347 1.319815 0.006682

132 0.668343 1.336810 1.331078 0.006740

133 0.673406 1.348691 1.342751 0.006799

134 0.678469 1.361010 1.354851 0.006860

135 0.683532 1.373786 1.367398 0.006923

136 0.688596 1.387043 1.380415 0.006989

137 0.693659 1.400803 1.393923 0.007058

138 0.698722 1.415091 1.407947 0.007129

139 0.703785 1.429935 1.422513 0.007202

140 0.708848 1.445363 1.437649 0.007279

141 0.713912 1.461405 1.453384 0.007359

142 0.718975 1.478095 1.469750 0.007442

143 0.724038 1.495467 1.486781 0.007528

144 0.729101 1.513560 1.504514 0.007618

145 0.734164 1.532414 1.522987 0.007711

146 0.739228 1.552074 1.542244 0.007809

147 0.744291 1.572586 1.562330 0.007910

148 0.749354 1.594003 1.583294 0.008017

149 0.754417 1.616378 1.605190 0.008127

150 0.759480 1.639774 1.628076 0.008243

151 0.764544 1.664254 1.652014 0.008364

152 0.769607 1.689890 1.677072 0.008491

153 0.774670 1.716759 1.703325 0.008624

154 0.779733 1.744947 1.730853 0.008764

155 0.784796 1.774545 1.759746 0.008910

156 0.789860 1.805654 1.790099 0.009064

157 0.794923 1.838387 1.822021 0.009225

Page 297: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.799986 1.872867 1.855627 0.009395

159 0.805049 1.909227 1.891047 0.009575

160 0.810112 1.947619 1.928423 0.009764

161 0.815176 1.988209 1.967914 0.009964

162 0.820239 2.031182 2.009695 0.010175

163 0.825302 2.076744 2.053963 0.010400

164 0.830365 2.125126 2.100935 0.010637

165 0.835428 2.176589 2.150858 0.010890

166 0.840492 2.231425 2.204007 0.011159

167 0.845555 2.289965 2.260695 0.011446

168 0.850618 2.352585 2.321275 0.011753

169 0.855681 2.419713 2.386149 0.012082

170 0.860744 2.491840 2.455777 0.012434

171 0.865808 2.569532 2.530686 0.012813

172 0.870871 2.653442 2.611487 0.013222

173 0.875934 2.744331 2.698887 0.013665

174 0.880997 2.843088 2.793709 0.014145

175 0.886060 2.950761 2.896925 0.014668

176 0.891124 3.068594 3.009677 0.015239

177 0.896187 3.198071 3.133332 0.015865

178 0.901250 3.340983 3.269527 0.016554

179 0.906313 3.499507 3.420245 0.017317

180 0.911376 3.676317 3.587912 0.018166

181 0.916440 3.874736 3.775527 0.019116

182 0.921503 4.098945 3.986841 0.020186

183 0.926566 4.354276 4.226610 0.021400

184 0.931629 4.647641 4.500958 0.022789

185 0.936692 4.988166 4.817903 0.024394

186 0.941756 5.388146 5.188156 0.026269

187 0.946819 5.864562 5.626354 0.028487

188 0.951882 6.441540 6.153051 0.031154

189 0.956945 7.154556 6.798048 0.034420

190 0.962008 8.057997 7.606277 0.038512

191 0.967072 9.239702 8.648850 0.043791

192 0.972135 10.851352 10.045527 0.050863

193 0.977198 13.179352 12.015352 0.060836

194 0.982261 16.837107 15.008229 0.075990

195 0.987325 23.418111 20.127609 0.101910

196 0.992388 38.755420 31.086765 0.157399

197 0.997451 115.026408 76.890914 0.389314

198 1.002514 -115.913912 -0.443752 -0.002247

199 1.007577 -38.224942 -77.069427 -0.390218

200 1.012641 -22.774174 -30.499558 -0.154425

Page 298: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.79974

Page 299: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 0.0000

N 3.4210

RESULTADO

F(u,N) 0.0000

CALCULOSxo 0 N tramos= 200xn 0.00000 0.000000C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.000000 1.000000 1.000000 0.000000

2 0.000000 1.000000 1.000000 0.000000

3 0.000000 1.000000 1.000000 0.000000

4 0.000000 1.000000 1.000000 0.000000

5 0.000000 1.000000 1.000000 0.000000

6 0.000000 1.000000 1.000000 0.000000

7 0.000000 1.000000 1.000000 0.000000

8 0.000000 1.000000 1.000000 0.000000

9 0.000000 1.000000 1.000000 0.000000

10 0.000000 1.000000 1.000000 0.000000

11 0.000000 1.000000 1.000000 0.000000

12 0.000000 1.000000 1.000000 0.000000

13 0.000000 1.000000 1.000000 0.000000

14 0.000000 1.000000 1.000000 0.000000

15 0.000000 1.000000 1.000000 0.000000

16 0.000000 1.000000 1.000000 0.000000

17 0.000000 1.000000 1.000000 0.000000

18 0.000000 1.000000 1.000000 0.000000

19 0.000000 1.000000 1.000000 0.000000

20 0.000000 1.000000 1.000000 0.000000

21 0.000000 1.000000 1.000000 0.000000

22 0.000000 1.000000 1.000000 0.000000

23 0.000000 1.000000 1.000000 0.000000

24 0.000000 1.000000 1.000000 0.000000

25 0.000000 1.000000 1.000000 0.000000

26 0.000000 1.000000 1.000000 0.000000

27 0.000000 1.000000 1.000000 0.000000

28 0.000000 1.000000 1.000000 0.000000

29 0.000000 1.000000 1.000000 0.000000

10

Page 300: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.000000 1.000000 1.000000 0.000000

31 0.000000 1.000000 1.000000 0.000000

32 0.000000 1.000000 1.000000 0.000000

33 0.000000 1.000000 1.000000 0.000000

34 0.000000 1.000000 1.000000 0.000000

35 0.000000 1.000000 1.000000 0.000000

36 0.000000 1.000000 1.000000 0.000000

37 0.000000 1.000000 1.000000 0.000000

38 0.000000 1.000000 1.000000 0.000000

39 0.000000 1.000000 1.000000 0.000000

40 0.000000 1.000000 1.000000 0.000000

41 0.000000 1.000000 1.000000 0.000000

42 0.000000 1.000000 1.000000 0.000000

43 0.000000 1.000000 1.000000 0.000000

44 0.000000 1.000000 1.000000 0.000000

45 0.000000 1.000000 1.000000 0.000000

46 0.000000 1.000000 1.000000 0.000000

47 0.000000 1.000000 1.000000 0.000000

48 0.000000 1.000000 1.000000 0.000000

49 0.000000 1.000000 1.000000 0.000000

50 0.000000 1.000000 1.000000 0.000000

51 0.000000 1.000000 1.000000 0.000000

52 0.000000 1.000000 1.000000 0.000000

53 0.000000 1.000000 1.000000 0.000000

54 0.000000 1.000000 1.000000 0.000000

55 0.000000 1.000000 1.000000 0.000000

56 0.000000 1.000000 1.000000 0.000000

57 0.000000 1.000000 1.000000 0.000000

58 0.000000 1.000000 1.000000 0.000000

59 0.000000 1.000000 1.000000 0.000000

60 0.000000 1.000000 1.000000 0.000000

61 0.000000 1.000000 1.000000 0.000000

62 0.000000 1.000000 1.000000 0.000000

63 0.000000 1.000000 1.000000 0.000000

64 0.000000 1.000000 1.000000 0.000000

65 0.000000 1.000000 1.000000 0.000000

66 0.000000 1.000000 1.000000 0.000000

67 0.000000 1.000000 1.000000 0.000000

68 0.000000 1.000000 1.000000 0.000000

69 0.000000 1.000000 1.000000 0.000000

70 0.000000 1.000000 1.000000 0.000000

71 0.000000 1.000000 1.000000 0.000000

Page 301: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.000000 1.000000 1.000000 0.000000

73 0.000000 1.000000 1.000000 0.000000

74 0.000000 1.000000 1.000000 0.000000

75 0.000000 1.000000 1.000000 0.000000

76 0.000000 1.000000 1.000000 0.000000

77 0.000000 1.000000 1.000000 0.000000

78 0.000000 1.000000 1.000000 0.000000

79 0.000000 1.000000 1.000000 0.000000

80 0.000000 1.000000 1.000000 0.000000

81 0.000000 1.000000 1.000000 0.000000

82 0.000000 1.000000 1.000000 0.000000

83 0.000000 1.000000 1.000000 0.000000

84 0.000000 1.000000 1.000000 0.000000

85 0.000000 1.000000 1.000000 0.000000

86 0.000000 1.000000 1.000000 0.000000

87 0.000000 1.000000 1.000000 0.000000

88 0.000000 1.000000 1.000000 0.000000

89 0.000000 1.000000 1.000000 0.000000

90 0.000000 1.000000 1.000000 0.000000

91 0.000000 1.000000 1.000000 0.000000

92 0.000000 1.000000 1.000000 0.000000

93 0.000000 1.000000 1.000000 0.000000

94 0.000000 1.000000 1.000000 0.000000

95 0.000000 1.000000 1.000000 0.000000

96 0.000000 1.000000 1.000000 0.000000

97 0.000000 1.000000 1.000000 0.000000

98 0.000000 1.000000 1.000000 0.000000

99 0.000000 1.000000 1.000000 0.000000

100 0.000000 1.000000 1.000000 0.000000

101 0.000000 1.000000 1.000000 0.000000

102 0.000000 1.000000 1.000000 0.000000

103 0.000000 1.000000 1.000000 0.000000

104 0.000000 1.000000 1.000000 0.000000

105 0.000000 1.000000 1.000000 0.000000

106 0.000000 1.000000 1.000000 0.000000

107 0.000000 1.000000 1.000000 0.000000

108 0.000000 1.000000 1.000000 0.000000

109 0.000000 1.000000 1.000000 0.000000

110 0.000000 1.000000 1.000000 0.000000

111 0.000000 1.000000 1.000000 0.000000

112 0.000000 1.000000 1.000000 0.000000

113 0.000000 1.000000 1.000000 0.000000

114 0.000000 1.000000 1.000000 0.000000

Page 302: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.000000 1.000000 1.000000 0.000000

116 0.000000 1.000000 1.000000 0.000000

117 0.000000 1.000000 1.000000 0.000000

118 0.000000 1.000000 1.000000 0.000000

119 0.000000 1.000000 1.000000 0.000000

120 0.000000 1.000000 1.000000 0.000000

121 0.000000 1.000000 1.000000 0.000000

122 0.000000 1.000000 1.000000 0.000000

123 0.000000 1.000000 1.000000 0.000000

124 0.000000 1.000000 1.000000 0.000000

125 0.000000 1.000000 1.000000 0.000000

126 0.000000 1.000000 1.000000 0.000000

127 0.000000 1.000000 1.000000 0.000000

128 0.000000 1.000000 1.000000 0.000000

129 0.000000 1.000000 1.000000 0.000000

130 0.000000 1.000000 1.000000 0.000000

131 0.000000 1.000000 1.000000 0.000000

132 0.000000 1.000000 1.000000 0.000000

133 0.000000 1.000000 1.000000 0.000000

134 0.000000 1.000000 1.000000 0.000000

135 0.000000 1.000000 1.000000 0.000000

136 0.000000 1.000000 1.000000 0.000000

137 0.000000 1.000000 1.000000 0.000000

138 0.000000 1.000000 1.000000 0.000000

139 0.000000 1.000000 1.000000 0.000000

140 0.000000 1.000000 1.000000 0.000000

141 0.000000 1.000000 1.000000 0.000000

142 0.000000 1.000000 1.000000 0.000000

143 0.000000 1.000000 1.000000 0.000000

144 0.000000 1.000000 1.000000 0.000000

145 0.000000 1.000000 1.000000 0.000000

146 0.000000 1.000000 1.000000 0.000000

147 0.000000 1.000000 1.000000 0.000000

148 0.000000 1.000000 1.000000 0.000000

149 0.000000 1.000000 1.000000 0.000000

150 0.000000 1.000000 1.000000 0.000000

151 0.000000 1.000000 1.000000 0.000000

152 0.000000 1.000000 1.000000 0.000000

153 0.000000 1.000000 1.000000 0.000000

154 0.000000 1.000000 1.000000 0.000000

155 0.000000 1.000000 1.000000 0.000000

156 0.000000 1.000000 1.000000 0.000000

157 0.000000 1.000000 1.000000 0.000000

Page 303: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.000000 1.000000 1.000000 0.000000

159 0.000000 1.000000 1.000000 0.000000

160 0.000000 1.000000 1.000000 0.000000

161 0.000000 1.000000 1.000000 0.000000

162 0.000000 1.000000 1.000000 0.000000

163 0.000000 1.000000 1.000000 0.000000

164 0.000000 1.000000 1.000000 0.000000

165 0.000000 1.000000 1.000000 0.000000

166 0.000000 1.000000 1.000000 0.000000

167 0.000000 1.000000 1.000000 0.000000

168 0.000000 1.000000 1.000000 0.000000

169 0.000000 1.000000 1.000000 0.000000

170 0.000000 1.000000 1.000000 0.000000

171 0.000000 1.000000 1.000000 0.000000

172 0.000000 1.000000 1.000000 0.000000

173 0.000000 1.000000 1.000000 0.000000

174 0.000000 1.000000 1.000000 0.000000

175 0.000000 1.000000 1.000000 0.000000

176 0.000000 1.000000 1.000000 0.000000

177 0.000000 1.000000 1.000000 0.000000

178 0.000000 1.000000 1.000000 0.000000

179 0.000000 1.000000 1.000000 0.000000

180 0.000000 1.000000 1.000000 0.000000

181 0.000000 1.000000 1.000000 0.000000

182 0.000000 1.000000 1.000000 0.000000

183 0.000000 1.000000 1.000000 0.000000

184 0.000000 1.000000 1.000000 0.000000

185 0.000000 1.000000 1.000000 0.000000

186 0.000000 1.000000 1.000000 0.000000

187 0.000000 1.000000 1.000000 0.000000

188 0.000000 1.000000 1.000000 0.000000

189 0.000000 1.000000 1.000000 0.000000

190 0.000000 1.000000 1.000000 0.000000

191 0.000000 1.000000 1.000000 0.000000

192 0.000000 1.000000 1.000000 0.000000

193 0.000000 1.000000 1.000000 0.000000

194 0.000000 1.000000 1.000000 0.000000

195 0.000000 1.000000 1.000000 0.000000

196 0.000000 1.000000 1.000000 0.000000

197 0.000000 1.000000 1.000000 0.000000

198 0.000000 1.000000 1.000000 0.000000

199 0.000000 1.000000 1.000000 0.000000

200 0.000000 1.000000 1.000000 0.000000

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INTEGRAL = 0.00000

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METODO DE INTEGRACION DIRECTA - SOLUCIÓN DE BAKHMETEFF-VEN TE CHOW

DATOS: TRAMO RAPIDA Y 2DO TRAMOQ = 2 CON LOS DATOS CALCULADOS:

n = 0.015 CLASIFICACION

So = 0.0105 TIPO DE CURVA :

b = 0.6 SZ = 1

P = 1.8

C= 2

L = 7

SI(Y(I7<I10,I8<I10),"1",SI(Y(I7>I10,I10>I8),"2",SI(Y(I8>I10,I10>I7),"2",SI(Y(I10<I7,I10<I8),"3","0 "))))

Y U=Y/Yn V=U^(N/J) F(u,N)

0 0.855 1.4889 1.6093 0.0497

1 0.837 1.4589 1.5707 0.0522

2 0.820 1.4290 1.5323 0.0550

3 0.803 1.3991 1.4940 0.0579

4 0.786 1.3691 1.4559 0.0610

5 0.769 1.3392 1.4179 0.0644

6 0.752 1.3093 1.3801 0.0680

7 0.734 1.2794 1.3425 0.0720

8 0.717 1.2494 1.3050 0.0762

9 0.7 1.2195 1.2678 0.0808

0.0000

-14 -12 -10 -8 -6 -4 -2 00.000

0.200

0.400

0.600

0.800

1.000

Solución de Bakhmeteff

Column C

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METODO DE INTEGRACION DIRECTA - SOLUCIÓN DE BAKHMETEFF-VEN TE CHOW

TRAMO RAPIDA Y 2DO TRAMOCON LOS DATOS CALCULADOS: DATOS ADICIONALES CALCULADOS:

CLASIFICACION h= 0.2732758833

ZONA : Yn= 0.574 N= 4.1671

2 Yc= 0.714 M= 3.9716

Yo= 0.855 J= 3.4856

Yf1= 0.700 N tramos= 9

Yp= 0.7773 -0.01717778

SI(I8<I7,"M",SI(I7=I8,"C",SI(I7<I8,"S","H o A" )))SI(Y(I7<I10,I8<I10),"1",SI(Y(I7>I10,I10>I8),"2",SI(Y(I8>I10,I10>I7),"2",SI(Y(I10<I7,I10<I8),"3","0 "))))

F(v,J) Δx x

0.0726 86.5725 0

0.0761 85.1782 -1.3943

0.0798 83.7959 -2.7767

0.0838 82.4343 -4.1383 FÓRMULAS:

0.0880 81.0848 -5.4878

0.0926 79.7648 -6.8078

0.0975 78.4630 -8.1095

0.1027 77.1781 -9.3944

0.1085 75.9408 -10.6317

0.1146 74.7167 -11.8559

0.0000

-14 -12 -10 -8 -6 -4 -2 00.000

0.200

0.400

0.600

0.800

1.000

Solución de Bakhmeteff

Column C

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

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PRIMERA ITERACION(para calcular "Yn" y "Yc")Y normal

METODO DE INTEGRACION DIRECTA - SOLUCIÓN DE BAKHMETEFF-VEN TE CHOW

0.02509457 Yn=0.1

0.15

0.4077472 0.2

0.250.3

0.350.4

0.45SI(Y(I7<I10,I8<I10),"1",SI(Y(I7>I10,I10>I8),"2",SI(Y(I8>I10,I10>I7),"2",SI(Y(I10<I7,I10<I8),"3","0 ")))) 0.5

0.55

0.6

0.650.7

0.750.8

0.850.9

0.951

1.051.1

1.15

1.21.251.3

1.351.4

1.451.5

1.551.6

1.651.7

1.751.8

1.851.9

1.95

NOTA:Los valores de F(u,N) y F(v,J)son obtenidos resolviendo las integrales:

3

2/1)

*(S

nQ 2

5

p

A

g

Q 2

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2

VARIACION "Yn" PARA 20 PARTICIONES=

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PRIMERA ITERACION(para calcular "Yn" y "Yc")Y normal Y critico

Yc=0.0000 0 0.1 0.00040.0000 0 0 0.15 0.0016

0.0001 0 0 0.2 0.0041

0.0003 0 0 0.25 0.00870.0007 0 0 0.3 0.01640.0016 0 0 0.35 0.02830.0034 0 0 0.4 0.0457

0.0067 0 0 0.45 0.07030.0124 0 0 0.5 0.10400.0218 0.55 0 0.55 0.1488

0.0367 0 0.6 0.6 0.2074

0.0595 0 0 0.65 0.28230.0938 0 0 0.7 0.37680.1437 0 0 0.75 0.49430.2150 0 0 0.8 0.63860.3151 0 0 0.85 0.81400.4532 0 0 0.9 1.02520.6407 0 0 0.95 1.27710.8921 0 0 1 1.57541.2248 0 0 1.05 1.92601.6602 0 0 1.1 2.3354

2.2241 0 0 1.15 2.8107

2.9473 0 0 1.2 3.35923.8667 0 0 1.25 3.98925.0259 0 0 1.3 4.70916.4761 0 0 1.35 5.52838.2775 0 0 1.4 6.456510.5000 0 0 1.45 7.504113.2248 0 0 1.5 8.682216.5457 0 0 1.55 10.002520.5704 0 0 1.6 11.477425.4227 0 0 1.65 13.120031.2434 0 0 1.7 14.944138.1929 0 0 1.75 16.964246.4532 0 0 1.8 19.195656.2297 0 0 1.85 21.654367.7542 0 0 1.9 24.357281.2867 0 0 1.95 27.3220

2

5

p

A T

A3

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97.1191 0 0 2 30.56700.55 0.6

VARIACION "Yn" PARA 20 PARTICIONES= 0.0025 VARIACION "Yc" PARA 20 PARTICIONES=

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PRIMERA ITERACION(para calcular "Yn" y "Yc") SEGUNDA ITERACION(para calcular "Yn" y "Yc")Y critico Y normal

Yn=0 0 0.55 0.02180 0 1 0.5525 0.0224

0 0 2 0.555 0.0230

0 0 3 0.5575 0.02360 0 4 0.56 0.02430 0 5 0.5625 0.02490 0 6 0.565 0.0256

0 0 7 0.5675 0.02630 0 8 0.57 0.02700 0 9 0.5725 0.0277

0 0 10 0.575 0.0284

0 0 11 0.5775 0.02910.7 0 12 0.58 0.02990 0.75 13 0.5825 0.03070 0 14 0.585 0.03150 0 15 0.5875 0.03230 0 16 0.59 0.03310 0 17 0.5925 0.03400 0 18 0.595 0.03490 0 19 0.5975 0.03580 0 20 0.6 0.0367

0 0

0 00 0 VARIAC. "Yn" PARA 20 PARTIC.=

0 00 00 00 00 00 00 00 00 00 00 00 00 00 0

2

5

p

AT

A3

Page 330: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

0 00.7 0.75

VARIACION "Yc" PARA 20 PARTICIONES= 0.0025

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SEGUNDA ITERACION(para calcular "Yn" y "Yc")Y normal Y critico

Yc=0 0 0.7 0.37680 0 1 0.7025 0.3821

0 0 2 0.705 0.3874

0 0 3 0.7075 0.39290 0 4 0.71 0.3983

0.5625 0 5 0.7125 0.40390 0.565 6 0.715 0.4094

0 0 7 0.7175 0.41510 0 8 0.72 0.42080 0 9 0.7225 0.4266

0 0 10 0.725 0.4324

0 0 11 0.7275 0.43830 0 12 0.73 0.44430 0 13 0.7325 0.45030 0 14 0.735 0.45640 0 15 0.7375 0.46250 0 16 0.74 0.46880 0 17 0.7425 0.47500 0 18 0.745 0.48140 0 19 0.7475 0.48780 0 20 0.75 0.4943

0.5625 0.565

0.000125 VARIAC. "Yc" PARA 20 PARTIC.=

2

5

p

A

T

A3

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SEGUNDA ITERACION(para calcular "Yn" y "Yc") TERCERA ITERACION(para calcular "Yn" y "Yc")Y critico Y normal

Y=0 0 0.5625 0.02490 0 1 0.5626 0.0249

0 0 2 0.5628 0.0250

0 0 3 0.5629 0.02500 0 4 0.5630 0.0250

0.7125 0 5 0.5631 0.02510 0.715 6 0.5633 0.0251

0 0 7 0.5634 0.02510 0 8 0.5635 0.02520 0 9 0.5636 0.0252

0 0 10 0.5638 0.0252

0 0 11 0.5639 0.02530 0 12 0.5640 0.02530 0 13 0.5641 0.02530 0 14 0.5643 0.02540 0 15 0.5644 0.02540 0 16 0.5645 0.02540 0 17 0.5646 0.02550 0 18 0.5648 0.02550 0 19 0.5649 0.02550 0 20 0.5650 0.0256

0.7125 0.715

Y normal =0.000125

2

5

p

A

T

A3

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Page 347: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

TERCERA ITERACION(para calcular "Yn" y "Yc")Y normal Y critico

Yc=0 0 0.7125 0.4039 00 1 0.7126 0.4041 0

0 2 0.7128 0.4044 0

0 3 0.7129 0.4047 00 4 0.7130 0.4050 0

0.563125 5 0.7131 0.4052 00 6 0.7133 0.4055 0

0 7 0.7134 0.4058 00 8 0.7135 0.4061 00 9 0.7136 0.4064 0

0 10 0.7138 0.4066 0

0 11 0.7139 0.4069 00 12 0.7140 0.4072 00 13 0.7141 0.4075 0.7141250 14 0.7143 0.4078 00 15 0.7144 0.4080 00 16 0.7145 0.4083 00 17 0.7146 0.4086 00 18 0.7148 0.4089 00 19 0.7149 0.4092 00 20 0.7150 0.4094 0

0.5631 Y critico= 0.7141

2

5

p

A

T

A3

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Page 353: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.4889

N 0.0350

RESULTADO

F(u,N) 50.3348

CALCULOSxo 0 N tramos= 200

xn 1.48885 0.007444

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.007444 6.344817 3.672408 0.027338

2 0.014889 7.303400 6.824109 0.050800

3 0.022333 8.026518 7.664959 0.057060

4 0.029777 8.640945 8.333732 0.062038

5 0.037221 9.191611 8.916278 0.066375

6 0.044666 9.700294 9.445952 0.070318

7 0.052110 10.179411 9.939852 0.073995

8 0.059554 10.636808 10.408109 0.077481

9 0.066998 11.077802 10.857305 0.080825

10 0.074443 11.506197 11.292000 0.084060

11 0.081887 11.924826 11.715512 0.087213

12 0.089331 12.335872 12.130349 0.090301

13 0.096775 12.741062 12.538467 0.093339

14 0.104220 13.141798 12.941430 0.096339

15 0.111664 13.539240 13.340519 0.099310

16 0.119108 13.934367 13.736804 0.102260

17 0.126552 14.328016 14.131191 0.105196

18 0.133997 14.720917 14.524466 0.108124

19 0.141441 15.113713 14.917315 0.111048

20 0.148885 15.506980 15.310346 0.113974

21 0.156329 15.901236 15.704108 0.116905

22 0.163774 16.296959 16.099097 0.119846

23 0.171218 16.694585 16.495772 0.122799

24 0.178662 17.094526 16.894556 0.125767

MÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOSMÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOS

0

CÁLCULO DE F(u,N)CÁLCULO DE F(u,N)

Page 354: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

25 0.186106 17.497168 17.295847 0.128755

26 0.193551 17.902876 17.700022 0.131763

27 0.200995 18.312002 18.107439 0.134796

28 0.208439 18.724884 18.518443 0.137856

29 0.215883 19.141851 18.933368 0.140945

30 0.223328 19.563225 19.352538 0.144065

31 0.230772 19.989321 19.776273 0.147220

32 0.238216 20.420453 20.204887 0.150410

33 0.245660 20.856932 20.638692 0.153640

34 0.253105 21.299067 21.077999 0.156910

35 0.260549 21.747170 21.523119 0.160223

36 0.267993 22.201556 21.974363 0.163583

37 0.275437 22.662542 22.432049 0.166990

38 0.282882 23.130448 22.896495 0.170447

39 0.290326 23.605602 23.368025 0.173957

40 0.297770 24.088337 23.846970 0.177523

41 0.305214 24.578996 24.333667 0.181146

42 0.312659 25.077928 24.828462 0.184829

43 0.320103 25.585492 25.331710 0.188576

44 0.327547 26.102059 25.843775 0.192388

45 0.334991 26.628009 26.365034 0.196268

46 0.342436 27.163739 26.895874 0.200220

47 0.349880 27.709655 27.436697 0.204246

48 0.357324 28.266182 27.987919 0.208349

49 0.364768 28.833758 28.549970 0.212533

50 0.372213 29.412840 29.123299 0.216801

51 0.379657 30.003903 29.708371 0.221157

52 0.387101 30.607442 30.305672 0.225603

53 0.394545 31.223974 30.915708 0.230144

54 0.401990 31.854039 31.539007 0.234784

55 0.409434 32.498200 32.176119 0.239527

56 0.416878 33.157048 32.827624 0.244377

57 0.424322 33.831202 33.494125 0.249339

58 0.431767 34.521311 34.176256 0.254417

59 0.439211 35.228055 34.874683 0.259616

60 0.446655 35.952151 35.590103 0.264942

61 0.454099 36.694352 36.323251 0.270399

62 0.461544 37.455450 37.074901 0.275995

63 0.468988 38.236280 37.845865 0.281734

64 0.476432 39.037726 38.637003 0.287624

65 0.483876 39.860715 39.449221 0.293670

66 0.491321 40.706234 40.283475 0.299880

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67 0.498765 41.575320 41.140777 0.306262

68 0.506209 42.469078 42.022199 0.312824

69 0.513653 43.388673 42.928876 0.319573

70 0.521098 44.335346 43.862010 0.326520

71 0.528542 45.310413 44.822880 0.333673

72 0.535986 46.315273 45.812843 0.341042

73 0.543430 47.351415 46.833344 0.348639

74 0.550875 48.420426 47.885921 0.356475

75 0.558319 49.524001 48.972214 0.364561

76 0.565763 50.663945 50.093973 0.372912

77 0.573207 51.842193 51.253069 0.381541

78 0.580652 53.060814 52.451504 0.390462

79 0.588096 54.322026 53.691420 0.399692

80 0.595540 55.628209 54.975117 0.409249

81 0.602984 56.981920 56.305064 0.419149

82 0.610429 58.385914 57.683917 0.429414

83 0.617873 59.843154 59.114534 0.440063

84 0.625317 61.356844 60.599999 0.451122

85 0.632761 62.930441 62.143642 0.462613

86 0.640206 64.567692 63.749066 0.474564

87 0.647650 66.272657 65.420174 0.487004

88 0.655094 68.049747 67.161202 0.499965

89 0.662538 69.903760 68.976754 0.513480

90 0.669983 71.839930 70.871845 0.527588

91 0.677427 73.863967 72.851948 0.542328

92 0.684871 75.982127 74.923047 0.557746

93 0.692315 78.201264 77.091695 0.573890

94 0.699760 80.528917 79.365090 0.590814

95 0.707204 82.973386 81.751151 0.608576

96 0.714648 85.543840 84.258613 0.627242

97 0.722092 88.250428 86.897134 0.646884

98 0.729537 91.104416 89.677422 0.667581

99 0.736981 94.118346 92.611381 0.689422

100 0.744425 97.306217 95.712282 0.712506

101 0.751869 100.683713 98.994965 0.736943

102 0.759314 104.268452 102.476082 0.762858

103 0.766758 108.080303 106.174377 0.790389

104 0.774202 112.141756 110.111030 0.819694

105 0.781646 116.478366 114.310061 0.850953

106 0.789091 121.119294 118.798830 0.884368

107 0.796535 126.097970 123.608632 0.920174

108 0.803979 131.452901 128.775435 0.958637

109 0.811423 137.228673 134.340787 1.000067

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110 0.818868 143.477201 140.352937 1.044822

111 0.826312 150.259302 146.868252 1.093324

112 0.833756 157.646683 153.952993 1.146065

113 0.841200 165.724498 161.685590 1.203628

114 0.848645 174.594650 170.159574 1.266711

115 0.856089 184.380130 179.487390 1.336149

116 0.863533 195.230764 189.805447 1.412959

117 0.870977 207.330954 201.280859 1.498385

118 0.878422 220.910266 214.120610 1.593968

119 0.885866 236.258158 228.584212 1.701638

120 0.893310 253.744873 245.001516 1.823853

121 0.900754 273.851741 263.798307 1.963781

122 0.908199 297.216215 285.533978 2.125587

123 0.915643 324.700760 310.958487 2.314853

124 0.923087 357.501745 341.101252 2.539243

125 0.930531 397.328350 377.415047 2.809572

126 0.937976 446.710306 422.019328 3.141618

127 0.945420 509.557474 478.133890 3.559349

128 0.952864 592.249679 550.903576 4.101064

129 0.960308 705.952941 649.101310 4.832073

130 0.967753 872.143901 789.048421 5.873874

131 0.975197 1138.082635 1005.113268 7.482315

132 0.982641 1632.097975 1385.090305 10.310960

133 0.990085 2867.933694 2250.015834 16.749682

134 0.997530 11551.793735 7209.863715 53.672034

135 1.004974 -5758.082147 2896.855794 21.564921

136 1.012418 -2314.542000 -4036.312073 -30.047320

137 1.019862 -1452.209254 -1883.375627 -14.020321

138 1.027307 -1060.040394 -1256.124824 -9.350908

139 1.034751 -835.883254 -947.961824 -7.056866

140 1.042195 -690.813777 -763.348515 -5.682558

141 1.049639 -589.250478 -640.032127 -4.764560

142 1.057084 -514.172538 -551.711508 -4.107079

143 1.064528 -456.413555 -485.293046 -3.612643

144 1.071972 -410.599540 -433.506547 -3.227131

145 1.079416 -373.371469 -391.985504 -2.918038

146 1.086861 -342.521836 -357.946652 -2.664645

147 1.094305 -316.540160 -329.530998 -2.453111

148 1.101749 -294.358006 -305.449083 -2.273840

149 1.109193 -275.198297 -284.778151 -2.119960

150 1.116638 -258.482342 -266.840320 -1.986426

151 1.124082 -243.770323 -251.126333 -1.869447

152 1.131526 -230.721994 -237.246158 -1.766120

Page 357: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

153 1.138970 -219.070012 -224.896003 -1.674182

154 1.146415 -208.601407 -213.835710 -1.591847

155 1.153859 -199.144424 -203.872916 -1.517681

156 1.161303 -190.559014 -194.851719 -1.450525

157 1.168747 -182.729843 -186.644429 -1.389428

158 1.176192 -175.561065 -179.145454 -1.333604

159 1.183636 -168.972379 -172.266722 -1.282397

160 1.191080 -162.895995 -165.934187 -1.235256

161 1.198524 -157.274293 -160.085144 -1.191714

162 1.205969 -152.057981 -154.666137 -1.151374

163 1.213413 -147.204645 -149.631313 -1.113893

164 1.220857 -142.677591 -144.941118 -1.078978

165 1.228301 -138.444908 -140.561249 -1.046373

166 1.235746 -134.478718 -136.461813 -1.015856

167 1.243190 -130.754555 -132.616637 -0.987232

168 1.250634 -127.250861 -129.002708 -0.960329

169 1.258078 -123.948562 -125.599711 -0.934996

170 1.265523 -120.830727 -122.389645 -0.911099

171 1.272967 -117.882270 -119.356499 -0.888520

172 1.280411 -115.089707 -116.485989 -0.867151

173 1.287855 -112.440948 -113.765328 -0.846898

174 1.295300 -109.925123 -111.183036 -0.827674

175 1.302744 -107.532432 -108.728777 -0.809404

176 1.310188 -105.254013 -106.393222 -0.792018

177 1.317632 -103.081836 -104.167925 -0.775452

178 1.325077 -101.008609 -102.045223 -0.759650

179 1.332521 -99.027688 -100.018149 -0.744560

180 1.339965 -97.133016 -98.080352 -0.730135

181 1.347409 -95.319051 -96.226033 -0.716331

182 1.354854 -93.580718 -94.449884 -0.703109

183 1.362298 -91.913359 -92.747038 -0.690432

184 1.369742 -90.312690 -91.113025 -0.678268

185 1.377186 -88.774767 -89.543729 -0.666586

186 1.384631 -87.295950 -88.035359 -0.655357

187 1.392075 -85.872875 -86.584412 -0.644556

188 1.399519 -84.502430 -85.187652 -0.634158

189 1.406963 -83.181729 -83.842079 -0.624141

190 1.414408 -81.908095 -82.544912 -0.614485

191 1.421852 -80.679039 -81.293567 -0.605170

192 1.429296 -79.492245 -80.085642 -0.596178

193 1.436740 -78.345555 -78.918900 -0.587492

194 1.444185 -77.236954 -77.791254 -0.579098

195 1.451629 -76.164563 -76.700758 -0.570980

Page 358: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

196 1.459073 -75.126621 -75.645592 -0.563125

197 1.466517 -74.121483 -74.624052 -0.555520

198 1.473962 -73.147605 -73.634544 -0.548154

199 1.481406 -72.203539 -72.675572 -0.541015

200 1.488850 -71.287925 -71.745732 -0.534093

INTEGRAL = 50.33480

Page 359: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.4589

N 4.1671

RESULTADO

F(u,N) 3.5860

CALCULOSxo 0 N tramos= 200

xn 1.45892 0.007295

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.007295 1.000000 1.000000 0.007295

2 0.014589 1.000000 1.000000 0.007295

3 0.021884 1.000000 1.000000 0.007295

4 0.029178 1.000000 1.000000 0.007295

5 0.036473 1.000001 1.000001 0.007295

6 0.043768 1.000002 1.000002 0.007295

7 0.051062 1.000004 1.000003 0.007295

8 0.058357 1.000007 1.000006 0.007295

9 0.065652 1.000012 1.000010 0.007295

10 0.072946 1.000018 1.000015 0.007295

11 0.080241 1.000027 1.000023 0.007295

12 0.087535 1.000039 1.000033 0.007295

13 0.094830 1.000055 1.000047 0.007295

14 0.102125 1.000074 1.000064 0.007295

15 0.109419 1.000099 1.000087 0.007295

16 0.116714 1.000130 1.000114 0.007295

17 0.124009 1.000167 1.000148 0.007296

18 0.131303 1.000212 1.000189 0.007296

19 0.138598 1.000265 1.000239 0.007296

20 0.145892 1.000329 1.000297 0.007297

21 0.153187 1.000403 1.000366 0.007297

22 0.160482 1.000489 1.000446 0.007298

23 0.167776 1.000588 1.000539 0.007299

24 0.175071 1.000703 1.000645 0.007299

MÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOSMÉTODO DE INTEGRACIÓN SUMATORIA DE TRAPECIOS

1

CÁLCULO DE F(u,N)CÁLCULO DE F(u,N)

Page 360: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

25 0.182365 1.000833 1.000768 0.007300

26 0.189660 1.000981 1.000907 0.007301

27 0.196955 1.001148 1.001065 0.007302

28 0.204249 1.001336 1.001242 0.007304

29 0.211544 1.001547 1.001442 0.007305

30 0.218839 1.001782 1.001665 0.007307

31 0.226133 1.002044 1.001913 0.007309

32 0.233428 1.002334 1.002189 0.007311

33 0.240722 1.002654 1.002494 0.007313

34 0.248017 1.003006 1.002830 0.007315

35 0.255312 1.003394 1.003200 0.007318

36 0.262606 1.003818 1.003606 0.007321

37 0.269901 1.004282 1.004050 0.007324

38 0.277196 1.004788 1.004535 0.007328

39 0.284490 1.005338 1.005063 0.007332

40 0.291785 1.005935 1.005637 0.007336

41 0.299079 1.006583 1.006259 0.007340

42 0.306374 1.007283 1.006933 0.007345

43 0.313669 1.008040 1.007661 0.007351

44 0.320963 1.008855 1.008447 0.007356

45 0.328258 1.009733 1.009294 0.007362

46 0.335552 1.010676 1.010204 0.007369

47 0.342847 1.011689 1.011183 0.007376

48 0.350142 1.012774 1.012232 0.007384

49 0.357436 1.013936 1.013355 0.007392

50 0.364731 1.015179 1.014558 0.007401

51 0.372026 1.016506 1.015843 0.007410

52 0.379320 1.017922 1.017214 0.007420

53 0.386615 1.019432 1.018677 0.007431

54 0.393909 1.021039 1.020235 0.007442

55 0.401204 1.022749 1.021894 0.007454

56 0.408499 1.024566 1.023658 0.007467

57 0.415793 1.026497 1.025531 0.007481

58 0.423088 1.028545 1.027521 0.007495

59 0.430383 1.030717 1.029631 0.007511

60 0.437677 1.033019 1.031868 0.007527

61 0.444972 1.035457 1.034238 0.007544

62 0.452266 1.038038 1.036747 0.007563

63 0.459561 1.040767 1.039402 0.007582

64 0.466856 1.043653 1.042210 0.007603

65 0.474150 1.046702 1.045178 0.007624

66 0.481445 1.049923 1.048313 0.007647

Page 361: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

67 0.488739 1.053324 1.051624 0.007671

68 0.496034 1.056913 1.055118 0.007697

69 0.503329 1.060699 1.058806 0.007724

70 0.510623 1.064693 1.062696 0.007752

71 0.517918 1.068903 1.066798 0.007782

72 0.525213 1.073342 1.071123 0.007813

73 0.532507 1.078019 1.075681 0.007847

74 0.539802 1.082948 1.080484 0.007882

75 0.547096 1.088141 1.085544 0.007919

76 0.554391 1.093610 1.090875 0.007958

77 0.561686 1.099372 1.096491 0.007998

78 0.568980 1.105440 1.102406 0.008042

79 0.576275 1.111831 1.108636 0.008087

80 0.583569 1.118563 1.115197 0.008135

81 0.590864 1.125654 1.122108 0.008185

82 0.598159 1.133123 1.129388 0.008238

83 0.605453 1.140992 1.137058 0.008294

84 0.612748 1.149284 1.145138 0.008353

85 0.620043 1.158023 1.153654 0.008415

86 0.627337 1.167236 1.162630 0.008481

87 0.634632 1.176950 1.172093 0.008550

88 0.641926 1.187197 1.182073 0.008623

89 0.649221 1.198009 1.192603 0.008700

90 0.656516 1.209423 1.203716 0.008781

91 0.663810 1.221477 1.215450 0.008866

92 0.671105 1.234214 1.227845 0.008957

93 0.678400 1.247679 1.240946 0.009052

94 0.685694 1.261924 1.254802 0.009153

95 0.692989 1.277004 1.269464 0.009260

96 0.700283 1.292978 1.284991 0.009374

97 0.707578 1.309913 1.301445 0.009494

98 0.714873 1.327883 1.318898 0.009621

99 0.722167 1.346968 1.337426 0.009756

100 0.729462 1.367258 1.357113 0.009900

101 0.736756 1.388852 1.378055 0.010052

102 0.744051 1.411861 1.400356 0.010215

103 0.751346 1.436407 1.424134 0.010389

104 0.758640 1.462631 1.449519 0.010574

105 0.765935 1.490687 1.476659 0.010772

106 0.773230 1.520752 1.505719 0.010984

107 0.780524 1.553023 1.536887 0.011211

108 0.787819 1.587728 1.570375 0.011455

109 0.795113 1.625125 1.606426 0.011718

Page 362: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

110 0.802408 1.665510 1.645317 0.012002

111 0.809703 1.709226 1.687368 0.012309

112 0.816997 1.756670 1.732948 0.012641

113 0.824292 1.808303 1.782486 0.013003

114 0.831587 1.864668 1.836485 0.013396

115 0.838881 1.926406 1.895537 0.013827

116 0.846176 1.994279 1.960343 0.014300

117 0.853470 2.069201 2.031740 0.014821

118 0.860765 2.152278 2.110740 0.015397

119 0.868060 2.244859 2.198568 0.016038

120 0.875354 2.348609 2.296734 0.016754

121 0.882649 2.465610 2.407110 0.017559

122 0.889943 2.598493 2.532051 0.018470

123 0.897238 2.750635 2.674564 0.019510

124 0.904533 2.926448 2.838541 0.020706

125 0.911827 3.131802 3.029125 0.022096

126 0.919122 3.374688 3.253245 0.023731

127 0.926417 3.666260 3.520474 0.025681

128 0.933711 4.022587 3.844423 0.028044

129 0.941006 4.467682 4.245134 0.030967

130 0.948300 5.039113 4.753397 0.034674

131 0.955595 5.799132 5.419122 0.039530

132 0.962890 6.858941 6.329036 0.046168

133 0.970184 8.438561 7.648751 0.055795

134 0.977479 11.043080 9.740821 0.071056

135 0.984774 16.145481 13.594280 0.099165

136 0.992068 30.637324 23.391403 0.170631

137 0.999363 376.964925 203.801125 1.486651

138 1.006657 -35.668823 170.648051 1.244812

139 1.013952 -16.824656 -26.246739 -0.191460

140 1.021247 -10.921664 -13.873160 -0.101199

141 1.028541 -8.037248 -9.479456 -0.069149

142 1.035836 -6.328045 -7.182646 -0.052395

143 1.043130 -5.197759 -5.762902 -0.042038

144 1.050425 -4.395139 -4.796449 -0.034988

145 1.057720 -3.795947 -4.095543 -0.029875

146 1.065014 -3.331704 -3.563826 -0.025997

147 1.072309 -2.961563 -3.146634 -0.022953

148 1.079604 -2.659650 -2.810607 -0.020502

149 1.086898 -2.408779 -2.534214 -0.018486

150 1.094193 -2.197086 -2.302933 -0.016799

151 1.101487 -2.016122 -2.106604 -0.015367

152 1.108782 -1.859699 -1.937910 -0.014136

Page 363: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

153 1.116077 -1.723189 -1.791444 -0.013068

154 1.123371 -1.603057 -1.663123 -0.012132

155 1.130666 -1.496556 -1.549807 -0.011305

156 1.137961 -1.401523 -1.449040 -0.010570

157 1.145255 -1.316226 -1.358875 -0.009912

158 1.152550 -1.239268 -1.277747 -0.009321

159 1.159844 -1.169504 -1.204386 -0.008786

160 1.167139 -1.105990 -1.137747 -0.008299

161 1.174434 -1.047940 -1.076965 -0.007856

162 1.181728 -0.994694 -1.021317 -0.007450

163 1.189023 -0.945695 -0.970195 -0.007077

164 1.196317 -0.900468 -0.923081 -0.006734

165 1.203612 -0.858604 -0.879536 -0.006416

166 1.210907 -0.819755 -0.839180 -0.006121

167 1.218201 -0.783615 -0.801685 -0.005848

168 1.225496 -0.749922 -0.766769 -0.005593

169 1.232791 -0.718442 -0.734182 -0.005356

170 1.240085 -0.688974 -0.703708 -0.005133

171 1.247380 -0.661338 -0.675156 -0.004925

172 1.254674 -0.635376 -0.648357 -0.004730

173 1.261969 -0.610946 -0.623161 -0.004546

174 1.269264 -0.587923 -0.599435 -0.004373

175 1.276558 -0.566195 -0.577059 -0.004209

176 1.283853 -0.545660 -0.555927 -0.004055

177 1.291148 -0.526228 -0.535944 -0.003910

178 1.298442 -0.507818 -0.517023 -0.003771

179 1.305737 -0.490354 -0.499086 -0.003641

180 1.313031 -0.473770 -0.482062 -0.003516

181 1.320326 -0.458006 -0.465888 -0.003398

182 1.327621 -0.443005 -0.450506 -0.003286

183 1.334915 -0.428717 -0.435861 -0.003179

184 1.342210 -0.415095 -0.421906 -0.003078

185 1.349504 -0.402097 -0.408596 -0.002981

186 1.356799 -0.389685 -0.395891 -0.002888

187 1.364094 -0.377821 -0.383753 -0.002799

188 1.371388 -0.366474 -0.372147 -0.002715

189 1.378683 -0.355612 -0.361043 -0.002634

190 1.385978 -0.345207 -0.350409 -0.002556

191 1.393272 -0.335234 -0.340220 -0.002482

192 1.400567 -0.325668 -0.330451 -0.002411

193 1.407861 -0.316487 -0.321077 -0.002342

194 1.415156 -0.307669 -0.312078 -0.002276

195 1.422451 -0.299196 -0.303433 -0.002213

Page 364: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

196 1.429745 -0.291050 -0.295123 -0.002153

197 1.437040 -0.283213 -0.287132 -0.002095

198 1.444334 -0.275670 -0.279442 -0.002038

199 1.451629 -0.268406 -0.272038 -0.001984

200 1.458924 -0.261408 -0.264907 -0.001932

INTEGRAL = 3.58602

Page 365: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.4290

N 4.1671

RESULTADO

F(u,N) -4.8023

CALCULOSxo 0 N tramos= 200xn 1.42900 0.007145C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.007145 1.000000 1.000000 0.007145

2 0.014290 1.000000 1.000000 0.007145

3 0.021435 1.000000 1.000000 0.007145

4 0.028580 1.000000 1.000000 0.007145

5 0.035725 1.000001 1.000001 0.007145

6 0.042870 1.000002 1.000001 0.007145

7 0.050015 1.000004 1.000003 0.007145

8 0.057160 1.000007 1.000005 0.007145

9 0.064305 1.000011 1.000009 0.007145

10 0.071450 1.000017 1.000014 0.007145

11 0.078595 1.000025 1.000021 0.007145

12 0.085740 1.000036 1.000030 0.007145

13 0.092885 1.000050 1.000043 0.007145

14 0.100030 1.000068 1.000059 0.007145

15 0.107175 1.000091 1.000080 0.007146

16 0.114320 1.000119 1.000105 0.007146

17 0.121465 1.000153 1.000136 0.007146

18 0.128610 1.000194 1.000174 0.007146

19 0.135755 1.000243 1.000219 0.007147

20 0.142900 1.000301 1.000272 0.007147

21 0.150045 1.000369 1.000335 0.007147

22 0.157190 1.000448 1.000409 0.007148

23 0.164335 1.000540 1.000494 0.007149

24 0.171480 1.000644 1.000592 0.007149

25 0.178625 1.000764 1.000704 0.007150

26 0.185770 1.000900 1.000832 0.007151

27 0.192915 1.001053 1.000977 0.007152

28 0.200060 1.001226 1.001139 0.007153

29 0.207205 1.001419 1.001322 0.007154

2

Page 366: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.214350 1.001635 1.001527 0.007156

31 0.221495 1.001875 1.001755 0.007158

32 0.228640 1.002140 1.002007 0.007159

33 0.235785 1.002434 1.002287 0.007161

34 0.242930 1.002757 1.002595 0.007164

35 0.250075 1.003112 1.002935 0.007166

36 0.257220 1.003501 1.003307 0.007169

37 0.264364 1.003926 1.003714 0.007172

38 0.271509 1.004390 1.004158 0.007175

39 0.278654 1.004894 1.004642 0.007178

40 0.285799 1.005442 1.005168 0.007182

41 0.292944 1.006035 1.005738 0.007186

42 0.300089 1.006677 1.006356 0.007190

43 0.307234 1.007369 1.007023 0.007195

44 0.314379 1.008116 1.007743 0.007200

45 0.321524 1.008920 1.008518 0.007206

46 0.328669 1.009784 1.009352 0.007212

47 0.335814 1.010711 1.010248 0.007218

48 0.342959 1.011705 1.011208 0.007225

49 0.350104 1.012769 1.012237 0.007232

50 0.357249 1.013906 1.013337 0.007240

51 0.364394 1.015120 1.014513 0.007249

52 0.371539 1.016415 1.015768 0.007258

53 0.378684 1.017795 1.017105 0.007267

54 0.385829 1.019265 1.018530 0.007277

55 0.392974 1.020827 1.020046 0.007288

56 0.400119 1.022488 1.021658 0.007300

57 0.407264 1.024251 1.023369 0.007312

58 0.414409 1.026121 1.025186 0.007325

59 0.421554 1.028104 1.027113 0.007339

60 0.428699 1.030205 1.029154 0.007353

61 0.435844 1.032428 1.031316 0.007369

62 0.442989 1.034781 1.033605 0.007385

63 0.450134 1.037268 1.036025 0.007402

64 0.457279 1.039897 1.038583 0.007421

65 0.464424 1.042673 1.041285 0.007440

66 0.471569 1.045604 1.044139 0.007460

67 0.478714 1.048697 1.047151 0.007482

68 0.485859 1.051959 1.050328 0.007505

69 0.493004 1.055399 1.053679 0.007529

70 0.500149 1.059024 1.057211 0.007554

71 0.507294 1.062844 1.060934 0.007580

Page 367: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.514439 1.066868 1.064856 0.007608

73 0.521584 1.071105 1.068986 0.007638

74 0.528729 1.075566 1.073336 0.007669

75 0.535874 1.080262 1.077914 0.007702

76 0.543019 1.085205 1.082734 0.007736

77 0.550164 1.090406 1.087806 0.007772

78 0.557309 1.095879 1.093143 0.007810

79 0.564454 1.101638 1.098758 0.007851

80 0.571599 1.107696 1.104667 0.007893

81 0.578744 1.114071 1.110884 0.007937

82 0.585889 1.120778 1.117424 0.007984

83 0.593034 1.127835 1.124306 0.008033

84 0.600179 1.135261 1.131548 0.008085

85 0.607324 1.143077 1.139169 0.008139

86 0.614469 1.151305 1.147191 0.008197

87 0.621614 1.159967 1.155636 0.008257

88 0.628759 1.169089 1.164528 0.008321

89 0.635904 1.178698 1.173893 0.008387

90 0.643049 1.188823 1.183760 0.008458

91 0.650194 1.199495 1.194159 0.008532

92 0.657339 1.210750 1.205123 0.008611

93 0.664484 1.222623 1.216687 0.008693

94 0.671629 1.235156 1.228889 0.008780

95 0.678774 1.248391 1.241773 0.008872

96 0.685919 1.262376 1.255383 0.008970

97 0.693064 1.277163 1.269769 0.009072

98 0.700209 1.292809 1.284986 0.009181

99 0.707354 1.309377 1.301093 0.009296

100 0.714499 1.326935 1.318156 0.009418

101 0.721644 1.345559 1.336247 0.009547

102 0.728789 1.365332 1.355446 0.009685

103 0.735934 1.386347 1.375840 0.009830

104 0.743079 1.408707 1.397527 0.009985

105 0.750224 1.432526 1.420616 0.010150

106 0.757369 1.457932 1.445229 0.010326

107 0.764514 1.485069 1.471500 0.010514

108 0.771659 1.514097 1.499583 0.010715

109 0.778804 1.545200 1.529649 0.010929

110 0.785949 1.578584 1.561892 0.011160

111 0.793093 1.614483 1.596534 0.011407

112 0.800238 1.653167 1.633825 0.011674

113 0.807383 1.694943 1.674055 0.011961

114 0.814528 1.740168 1.717556 0.012272

Page 368: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.821673 1.789254 1.764711 0.012609

116 0.828818 1.842684 1.815969 0.012975

117 0.835963 1.901021 1.871852 0.013374

118 0.843108 1.964937 1.932979 0.013811

119 0.850253 2.035225 2.000081 0.014291

120 0.857398 2.112843 2.074034 0.014819

121 0.864543 2.198948 2.155896 0.015404

122 0.871688 2.294955 2.246952 0.016054

123 0.878833 2.402612 2.348784 0.016782

124 0.885978 2.524108 2.463360 0.017601

125 0.893123 2.662214 2.593161 0.018528

126 0.900268 2.820496 2.741355 0.019587

127 0.907413 3.003623 2.912060 0.020807

128 0.914558 3.217822 3.110723 0.022226

129 0.921703 3.471597 3.344710 0.023898

130 0.928848 3.776863 3.624230 0.025895

131 0.935993 4.150861 3.963862 0.028322

132 0.943138 4.619492 4.385176 0.031332

133 0.950283 5.223550 4.921521 0.035164

134 0.957428 6.031214 5.627382 0.040208

135 0.964573 7.165665 6.598439 0.047146

136 0.971718 8.874565 8.020115 0.057304

137 0.978863 11.740448 10.307507 0.073647

138 0.986008 17.535737 14.638093 0.104589

139 0.993153 35.431223 26.483480 0.189224

140 1.000298 -804.631025 -384.599901 -2.747961

141 1.007443 -31.863887 -418.247456 -2.988372

142 1.014588 -16.074886 -23.969386 -0.171261

143 1.021733 -10.669009 -13.371947 -0.095542

144 1.028878 -7.939288 -9.304148 -0.066478

145 1.036023 -6.293307 -7.116297 -0.050846

146 1.043168 -5.192930 -5.743118 -0.041035

147 1.050313 -4.405705 -4.799318 -0.034291

148 1.057458 -3.814803 -4.110254 -0.029368

149 1.064603 -3.355080 -3.584942 -0.025614

150 1.071748 -2.987341 -3.171211 -0.022658

151 1.078893 -2.686589 -2.836965 -0.020270

152 1.086038 -2.436133 -2.561361 -0.018301

153 1.093183 -2.224397 -2.330265 -0.016650

154 1.100328 -2.043108 -2.133753 -0.015246

155 1.107473 -1.886188 -1.964648 -0.014037

156 1.114618 -1.749078 -1.817633 -0.012987

157 1.121763 -1.628288 -1.688683 -0.012066

Page 369: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.128908 -1.521101 -1.574694 -0.011251

159 1.136053 -1.425372 -1.473236 -0.010526

160 1.143198 -1.339383 -1.382378 -0.009877

161 1.150343 -1.261744 -1.300564 -0.009293

162 1.157488 -1.191316 -1.226530 -0.008764

163 1.164633 -1.127158 -1.159237 -0.008283

164 1.171778 -1.068486 -1.097822 -0.007844

165 1.178923 -1.014641 -1.041564 -0.007442

166 1.186068 -0.965065 -0.989853 -0.007072

167 1.193213 -0.919284 -0.942175 -0.006732

168 1.200358 -0.876889 -0.898086 -0.006417

169 1.207503 -0.837529 -0.857209 -0.006125

170 1.214648 -0.800900 -0.819214 -0.005853

171 1.221793 -0.766736 -0.783818 -0.005600

172 1.228938 -0.734806 -0.750771 -0.005364

173 1.236083 -0.704906 -0.719856 -0.005143

174 1.243228 -0.676854 -0.690880 -0.004936

175 1.250373 -0.650493 -0.663673 -0.004742

176 1.257518 -0.625679 -0.638086 -0.004559

177 1.264663 -0.602287 -0.613983 -0.004387

178 1.271808 -0.580204 -0.591246 -0.004224

179 1.278953 -0.559328 -0.569766 -0.004071

180 1.286098 -0.539567 -0.549447 -0.003926

181 1.293243 -0.520839 -0.530203 -0.003788

182 1.300388 -0.503070 -0.511955 -0.003658

183 1.307533 -0.486192 -0.494631 -0.003534

184 1.314678 -0.470143 -0.478168 -0.003417

185 1.321822 -0.454868 -0.462506 -0.003305

186 1.328967 -0.440315 -0.447591 -0.003198

187 1.336112 -0.426437 -0.433376 -0.003096

188 1.343257 -0.413191 -0.419814 -0.003000

189 1.350402 -0.400539 -0.406865 -0.002907

190 1.357547 -0.388443 -0.394491 -0.002819

191 1.364692 -0.376871 -0.382657 -0.002734

192 1.371837 -0.365791 -0.371331 -0.002653

193 1.378982 -0.355176 -0.360483 -0.002576

194 1.386127 -0.344998 -0.350087 -0.002501

195 1.393272 -0.335234 -0.340116 -0.002430

196 1.400417 -0.325860 -0.330547 -0.002362

197 1.407562 -0.316856 -0.321358 -0.002296

198 1.414707 -0.308202 -0.312529 -0.002233

199 1.421852 -0.299879 -0.304040 -0.002172

200 1.428997 -0.291871 -0.295875 -0.002114

Page 370: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = -4.80225

Page 371: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.3991

N 4.1671

RESULTADO

F(u,N) -4.0375

CALCULOSxo 0 N tramos= 200xn 1.39907 0.006995C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006995 1.000000 1.000000 0.006995

2 0.013991 1.000000 1.000000 0.006995

3 0.020986 1.000000 1.000000 0.006995

4 0.027981 1.000000 1.000000 0.006995

5 0.034977 1.000001 1.000001 0.006995

6 0.041972 1.000002 1.000001 0.006995

7 0.048967 1.000003 1.000003 0.006995

8 0.055963 1.000006 1.000005 0.006995

9 0.062958 1.000010 1.000008 0.006995

10 0.069954 1.000015 1.000013 0.006995

11 0.076949 1.000023 1.000019 0.006995

12 0.083944 1.000033 1.000028 0.006996

13 0.090940 1.000046 1.000039 0.006996

14 0.097935 1.000062 1.000054 0.006996

15 0.104930 1.000083 1.000073 0.006996

16 0.111926 1.000109 1.000096 0.006996

17 0.118921 1.000140 1.000125 0.006996

18 0.125916 1.000178 1.000159 0.006996

19 0.132912 1.000223 1.000200 0.006997

20 0.139907 1.000276 1.000249 0.006997

21 0.146902 1.000338 1.000307 0.006998

22 0.153898 1.000410 1.000374 0.006998

23 0.160893 1.000494 1.000452 0.006999

24 0.167889 1.000590 1.000542 0.006999

25 0.174884 1.000699 1.000645 0.007000

26 0.181879 1.000824 1.000762 0.007001

27 0.188875 1.000964 1.000894 0.007002

28 0.195870 1.001122 1.001043 0.007003

29 0.202865 1.001299 1.001211 0.007004

3

Page 372: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.209861 1.001497 1.001398 0.007005

31 0.216856 1.001716 1.001606 0.007007

32 0.223851 1.001959 1.001838 0.007008

33 0.230847 1.002228 1.002094 0.007010

34 0.237842 1.002524 1.002376 0.007012

35 0.244837 1.002849 1.002686 0.007014

36 0.251833 1.003205 1.003027 0.007017

37 0.258828 1.003594 1.003399 0.007019

38 0.265823 1.004018 1.003806 0.007022

39 0.272819 1.004479 1.004248 0.007025

40 0.279814 1.004980 1.004729 0.007028

41 0.286810 1.005523 1.005251 0.007032

42 0.293805 1.006109 1.005816 0.007036

43 0.300800 1.006743 1.006426 0.007040

44 0.307796 1.007426 1.007085 0.007045

45 0.314791 1.008161 1.007794 0.007050

46 0.321786 1.008951 1.008556 0.007055

47 0.328782 1.009798 1.009375 0.007061

48 0.335777 1.010706 1.010252 0.007067

49 0.342772 1.011678 1.011192 0.007074

50 0.349768 1.012717 1.012198 0.007081

51 0.356763 1.013826 1.013271 0.007088

52 0.363758 1.015009 1.014417 0.007096

53 0.370754 1.016269 1.015639 0.007105

54 0.377749 1.017610 1.016939 0.007114

55 0.384744 1.019036 1.018323 0.007124

56 0.391740 1.020551 1.019793 0.007134

57 0.398735 1.022158 1.021354 0.007145

58 0.405731 1.023864 1.023011 0.007156

59 0.412726 1.025671 1.024767 0.007169

60 0.419721 1.027585 1.026628 0.007182

61 0.426717 1.029610 1.028597 0.007195

62 0.433712 1.031751 1.030681 0.007210

63 0.440707 1.034015 1.032883 0.007225

64 0.447703 1.036406 1.035211 0.007242

65 0.454698 1.038931 1.037668 0.007259

66 0.461693 1.041594 1.040262 0.007277

67 0.468689 1.044404 1.042999 0.007296

68 0.475684 1.047365 1.045884 0.007316

69 0.482679 1.050486 1.048926 0.007338

70 0.489675 1.053773 1.052130 0.007360

71 0.496670 1.057235 1.055504 0.007384

Page 373: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.503666 1.060879 1.059057 0.007408

73 0.510661 1.064714 1.062797 0.007435

74 0.517656 1.068748 1.066731 0.007462

75 0.524652 1.072992 1.070870 0.007491

76 0.531647 1.077455 1.075224 0.007522

77 0.538642 1.082147 1.079801 0.007554

78 0.545638 1.087080 1.084614 0.007587

79 0.552633 1.092266 1.089673 0.007623

80 0.559628 1.097717 1.094991 0.007660

81 0.566624 1.103445 1.100581 0.007699

82 0.573619 1.109466 1.106456 0.007740

83 0.580614 1.115794 1.112630 0.007783

84 0.587610 1.122445 1.119119 0.007829

85 0.594605 1.129436 1.125940 0.007876

86 0.601600 1.136785 1.133110 0.007927

87 0.608596 1.144511 1.140648 0.007979

88 0.615591 1.152636 1.148574 0.008035

89 0.622587 1.161181 1.156908 0.008093

90 0.629582 1.170170 1.165676 0.008154

91 0.636577 1.179629 1.174900 0.008219

92 0.643573 1.189586 1.184608 0.008287

93 0.650568 1.200070 1.194828 0.008358

94 0.657563 1.211114 1.205592 0.008434

95 0.664559 1.222751 1.216932 0.008513

96 0.671554 1.235021 1.228886 0.008596

97 0.678549 1.247964 1.241492 0.008685

98 0.685545 1.261624 1.254794 0.008778

99 0.692540 1.276051 1.268838 0.008876

100 0.699535 1.291297 1.283674 0.008980

101 0.706531 1.307420 1.299358 0.009089

102 0.713526 1.324485 1.315952 0.009206

103 0.720521 1.342560 1.333522 0.009328

104 0.727517 1.361725 1.352143 0.009459

105 0.734512 1.382063 1.371894 0.009597

106 0.741508 1.403670 1.392866 0.009744

107 0.748503 1.426650 1.415160 0.009900

108 0.755498 1.451120 1.438885 0.010066

109 0.762494 1.477212 1.464166 0.010242

110 0.769489 1.505072 1.491142 0.010431

111 0.776484 1.534865 1.519969 0.010633

112 0.783480 1.566777 1.550821 0.010849

113 0.790475 1.601019 1.583898 0.011080

114 0.797470 1.637831 1.619425 0.011328

Page 374: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.804466 1.677488 1.657660 0.011596

116 0.811461 1.720306 1.698897 0.011884

117 0.818456 1.766647 1.743476 0.012196

118 0.825452 1.816934 1.791790 0.012534

119 0.832447 1.871659 1.844296 0.012902

120 0.839443 1.931401 1.901530 0.013302

121 0.846438 1.996843 1.964122 0.013740

122 0.853433 2.068800 2.032822 0.014220

123 0.860429 2.148249 2.108524 0.014750

124 0.867424 2.236373 2.192311 0.015336

125 0.874419 2.334620 2.285496 0.015988

126 0.881415 2.444778 2.389699 0.016717

127 0.888410 2.569085 2.506932 0.017537

128 0.895405 2.710377 2.639731 0.018466

129 0.902401 2.872302 2.791339 0.019526

130 0.909396 3.059636 2.965969 0.020748

131 0.916391 3.278752 3.169194 0.022170

132 0.923387 3.538353 3.408552 0.023844

133 0.930382 3.850637 3.694495 0.025844

134 0.937377 4.233254 4.041945 0.028275

135 0.944373 4.712733 4.472993 0.031290

136 0.951368 5.330865 5.021799 0.035129

137 0.958364 6.157527 5.744196 0.040183

138 0.965359 7.319040 6.738284 0.047137

139 0.972354 9.069581 8.194311 0.057322

140 0.979350 12.007733 10.538657 0.073722

141 0.986345 17.958678 14.983205 0.104813

142 0.993340 36.416289 27.187483 0.190186

143 1.000336 -714.566376 -339.075044 -2.371950

144 1.007331 -32.356769 -373.461573 -2.612496

145 1.014326 -16.375310 -24.366039 -0.170449

146 1.021322 -10.881902 -13.628606 -0.095337

147 1.028317 -8.103734 -9.492818 -0.066406

148 1.035312 -6.427140 -7.265437 -0.050824

149 1.042308 -5.305693 -5.866417 -0.041038

150 1.049303 -4.503088 -4.904391 -0.034308

151 1.056298 -3.900464 -4.201776 -0.029393

152 1.063294 -3.431511 -3.665987 -0.025645

153 1.070289 -3.056313 -3.243912 -0.022692

154 1.077285 -2.749408 -2.902860 -0.020307

155 1.084280 -2.493787 -2.621597 -0.018339

156 1.091275 -2.277654 -2.385721 -0.016689

157 1.098271 -2.092575 -2.185115 -0.015286

Page 375: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.105266 -1.932355 -2.012465 -0.014078

159 1.112261 -1.792343 -1.862349 -0.013028

160 1.119257 -1.668982 -1.730663 -0.012107

161 1.126252 -1.559501 -1.614242 -0.011292

162 1.133247 -1.461711 -1.510606 -0.010567

163 1.140243 -1.373862 -1.417786 -0.009918

164 1.147238 -1.294533 -1.334197 -0.009333

165 1.154233 -1.222564 -1.258548 -0.008804

166 1.161229 -1.156995 -1.189779 -0.008323

167 1.168224 -1.097025 -1.127010 -0.007884

168 1.175220 -1.041983 -1.069504 -0.007482

169 1.182215 -0.991299 -1.016641 -0.007112

170 1.189210 -0.944488 -0.967894 -0.006771

171 1.196206 -0.901135 -0.922812 -0.006455

172 1.203201 -0.860881 -0.881008 -0.006163

173 1.210196 -0.823415 -0.842148 -0.005891

174 1.217192 -0.788466 -0.805940 -0.005638

175 1.224187 -0.755798 -0.772132 -0.005401

176 1.231182 -0.725203 -0.740501 -0.005180

177 1.238178 -0.696496 -0.710850 -0.004973

178 1.245173 -0.669515 -0.683006 -0.004778

179 1.252168 -0.644116 -0.656815 -0.004595

180 1.259164 -0.620168 -0.632142 -0.004422

181 1.266159 -0.597557 -0.608863 -0.004259

182 1.273154 -0.576179 -0.586868 -0.004105

183 1.280150 -0.555941 -0.566060 -0.003960

184 1.287145 -0.536758 -0.546350 -0.003822

185 1.294141 -0.518555 -0.527657 -0.003691

186 1.301136 -0.501262 -0.509909 -0.003567

187 1.308131 -0.484816 -0.493039 -0.003449

188 1.315127 -0.469161 -0.476989 -0.003337

189 1.322122 -0.454244 -0.461702 -0.003230

190 1.329117 -0.440017 -0.447130 -0.003128

191 1.336113 -0.426436 -0.433227 -0.003031

192 1.343108 -0.413462 -0.419949 -0.002938

193 1.350103 -0.401057 -0.407259 -0.002849

194 1.357099 -0.389187 -0.395122 -0.002764

195 1.364094 -0.377820 -0.383504 -0.002683

196 1.371089 -0.366929 -0.372375 -0.002605

197 1.378085 -0.356485 -0.361707 -0.002530

198 1.385080 -0.346463 -0.351474 -0.002459

199 1.392075 -0.336841 -0.341652 -0.002390

200 1.399071 -0.327598 -0.332219 -0.002324

Page 376: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = -4.03754

Page 377: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.3691

N 4.1671

RESULTADO

F(u,N) 4.0071

CALCULOSxo 0 N tramos= 200xn 1.36914 0.006846C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006846 1.000000 1.000000 0.006846

2 0.013691 1.000000 1.000000 0.006846

3 0.020537 1.000000 1.000000 0.006846

4 0.027383 1.000000 1.000000 0.006846

5 0.034229 1.000001 1.000001 0.006846

6 0.041074 1.000002 1.000001 0.006846

7 0.047920 1.000003 1.000002 0.006846

8 0.054766 1.000006 1.000004 0.006846

9 0.061611 1.000009 1.000007 0.006846

10 0.068457 1.000014 1.000012 0.006846

11 0.075303 1.000021 1.000017 0.006846

12 0.082149 1.000030 1.000025 0.006846

13 0.088994 1.000042 1.000036 0.006846

14 0.095840 1.000057 1.000049 0.006846

15 0.102686 1.000076 1.000067 0.006846

16 0.109532 1.000099 1.000088 0.006846

17 0.116377 1.000128 1.000114 0.006847

18 0.123223 1.000163 1.000145 0.006847

19 0.130069 1.000204 1.000183 0.006847

20 0.136914 1.000252 1.000228 0.006847

21 0.143760 1.000309 1.000281 0.006848

22 0.150606 1.000375 1.000342 0.006848

23 0.157452 1.000451 1.000413 0.006849

24 0.164297 1.000539 1.000495 0.006849

25 0.171143 1.000639 1.000589 0.006850

26 0.177989 1.000753 1.000696 0.006850

27 0.184834 1.000881 1.000817 0.006851

28 0.191680 1.001025 1.000953 0.006852

29 0.198526 1.001187 1.001106 0.006853

4

Page 378: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.205372 1.001367 1.001277 0.006854

31 0.212217 1.001568 1.001468 0.006856

32 0.219063 1.001790 1.001679 0.006857

33 0.225909 1.002035 1.001913 0.006859

34 0.232755 1.002306 1.002171 0.006861

35 0.239600 1.002603 1.002454 0.006863

36 0.246446 1.002928 1.002765 0.006865

37 0.253292 1.003283 1.003105 0.006867

38 0.260137 1.003670 1.003477 0.006870

39 0.266983 1.004092 1.003881 0.006872

40 0.273829 1.004549 1.004320 0.006875

41 0.280675 1.005044 1.004797 0.006879

42 0.287520 1.005580 1.005312 0.006882

43 0.294366 1.006159 1.005869 0.006886

44 0.301212 1.006782 1.006470 0.006890

45 0.308057 1.007453 1.007117 0.006894

46 0.314903 1.008173 1.007813 0.006899

47 0.321749 1.008946 1.008560 0.006904

48 0.328595 1.009775 1.009361 0.006910

49 0.335440 1.010661 1.010218 0.006916

50 0.342286 1.011608 1.011135 0.006922

51 0.349132 1.012620 1.012114 0.006929

52 0.355978 1.013698 1.013159 0.006936

53 0.362823 1.014846 1.014272 0.006943

54 0.369669 1.016068 1.015457 0.006952

55 0.376515 1.017367 1.016718 0.006960

56 0.383360 1.018747 1.018057 0.006969

57 0.390206 1.020211 1.019479 0.006979

58 0.397052 1.021763 1.020987 0.006989

59 0.403898 1.023407 1.022585 0.007000

60 0.410743 1.025148 1.024278 0.007012

61 0.417589 1.026990 1.026069 0.007024

62 0.424435 1.028937 1.027963 0.007037

63 0.431280 1.030994 1.029965 0.007051

64 0.438126 1.033165 1.032079 0.007065

65 0.444972 1.035457 1.034311 0.007081

66 0.451818 1.037875 1.036666 0.007097

67 0.458663 1.040423 1.039149 0.007114

68 0.465509 1.043108 1.041766 0.007132

69 0.472355 1.045936 1.044522 0.007151

70 0.479201 1.048914 1.047425 0.007170

71 0.486046 1.052047 1.050480 0.007191

Page 379: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.492892 1.055343 1.053695 0.007213

73 0.499738 1.058810 1.057077 0.007236

74 0.506583 1.062455 1.060633 0.007261

75 0.513429 1.066286 1.064371 0.007286

76 0.520275 1.070312 1.068299 0.007313

77 0.527121 1.074542 1.072427 0.007342

78 0.533966 1.078985 1.076763 0.007371

79 0.540812 1.083651 1.081318 0.007402

80 0.547658 1.088552 1.086101 0.007435

81 0.554503 1.093697 1.091124 0.007470

82 0.561349 1.099099 1.096398 0.007506

83 0.568195 1.104771 1.101935 0.007544

84 0.575041 1.110727 1.107749 0.007583

85 0.581886 1.116979 1.113853 0.007625

86 0.588732 1.123543 1.120261 0.007669

87 0.595578 1.130436 1.126989 0.007715

88 0.602424 1.137674 1.134055 0.007763

89 0.609269 1.145276 1.141475 0.007814

90 0.616115 1.153261 1.149268 0.007868

91 0.622961 1.161650 1.157456 0.007924

92 0.629806 1.170466 1.166058 0.007983

93 0.636652 1.179733 1.175100 0.008044

94 0.643498 1.189477 1.184605 0.008109

95 0.650344 1.199725 1.194601 0.008178

96 0.657189 1.210508 1.205117 0.008250

97 0.664035 1.221859 1.216184 0.008326

98 0.670881 1.233812 1.227835 0.008405

99 0.677726 1.246405 1.240108 0.008489

100 0.684572 1.259680 1.253043 0.008578

101 0.691418 1.273683 1.266682 0.008671

102 0.698264 1.288461 1.281072 0.008770

103 0.705109 1.304070 1.296266 0.008874

104 0.711955 1.320567 1.312318 0.008984

105 0.718801 1.338016 1.329292 0.009100

106 0.725647 1.356490 1.347253 0.009223

107 0.732492 1.376064 1.366277 0.009353

108 0.739338 1.396827 1.386445 0.009491

109 0.746184 1.418872 1.407849 0.009638

110 0.753029 1.442306 1.430589 0.009793

111 0.759875 1.467247 1.454777 0.009959

112 0.766721 1.493827 1.480537 0.010135

113 0.773567 1.522192 1.508009 0.010323

114 0.780412 1.552510 1.537351 0.010524

Page 380: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.787258 1.584968 1.568739 0.010739

116 0.794104 1.619777 1.602373 0.010969

117 0.800949 1.657180 1.638479 0.011217

118 0.807795 1.697452 1.677316 0.011482

119 0.814641 1.740910 1.719181 0.011769

120 0.821487 1.787918 1.764414 0.012079

121 0.828332 1.838900 1.813409 0.012414

122 0.835178 1.894350 1.866625 0.012778

123 0.842024 1.954845 1.924597 0.013175

124 0.848870 2.021072 1.987958 0.013609

125 0.855715 2.093842 2.057457 0.014085

126 0.862561 2.174132 2.133987 0.014609

127 0.869407 2.263122 2.218627 0.015188

128 0.876252 2.362253 2.312687 0.015832

129 0.883098 2.473305 2.417779 0.016551

130 0.889944 2.598500 2.535903 0.017360

131 0.896790 2.740648 2.669574 0.018275

132 0.903635 2.903360 2.822004 0.019319

133 0.910481 3.091350 2.997355 0.020519

134 0.917327 3.310894 3.201122 0.021914

135 0.924172 3.570533 3.440713 0.023554

136 0.931018 3.882199 3.726366 0.025510

137 0.937864 4.263086 4.072643 0.027880

138 0.944710 4.738897 4.500991 0.030813

139 0.951555 5.349867 5.044382 0.034532

140 0.958401 6.162717 5.756292 0.039406

141 0.965247 7.296737 6.729727 0.046070

142 0.972093 8.988266 8.142501 0.055741

143 0.978938 11.780910 10.384588 0.071090

144 0.985784 17.265373 14.523142 0.099421

145 0.992630 32.942297 25.103835 0.171854

146 0.999475 457.840275 245.391286 1.679881

147 1.006321 -37.586124 210.127075 1.438472

148 1.013167 -17.850038 -27.718081 -0.189750

149 1.020013 -11.617736 -14.733887 -0.100864

150 1.026858 -8.563556 -10.090646 -0.069078

151 1.033704 -6.750936 -7.657246 -0.052419

152 1.040550 -5.551058 -6.150997 -0.042108

153 1.047395 -4.698404 -5.124731 -0.035082

154 1.054241 -4.061502 -4.379953 -0.029984

155 1.061087 -3.567810 -3.814656 -0.026114

156 1.067933 -3.174029 -3.370920 -0.023076

157 1.074778 -2.852717 -3.013373 -0.020629

Page 381: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.081624 -2.585634 -2.719176 -0.018615

159 1.088470 -2.360190 -2.472912 -0.016929

160 1.095316 -2.167410 -2.263800 -0.015497

161 1.102161 -2.000724 -2.084067 -0.014267

162 1.109007 -1.855213 -1.927968 -0.013198

163 1.115853 -1.727121 -1.791167 -0.012262

164 1.122698 -1.613530 -1.670326 -0.011435

165 1.129544 -1.512139 -1.562835 -0.010699

166 1.136390 -1.421109 -1.466624 -0.010040

167 1.143236 -1.338952 -1.380031 -0.009447

168 1.150081 -1.264452 -1.301702 -0.008911

169 1.156927 -1.196606 -1.230529 -0.008424

170 1.163773 -1.134576 -1.165591 -0.007979

171 1.170618 -1.077662 -1.106119 -0.007572

172 1.177464 -1.025269 -1.051466 -0.007198

173 1.184310 -0.976893 -1.001081 -0.006853

174 1.191156 -0.932101 -0.954497 -0.006534

175 1.198001 -0.890519 -0.911310 -0.006239

176 1.204847 -0.851824 -0.871171 -0.005964

177 1.211693 -0.815735 -0.833779 -0.005708

178 1.218539 -0.782006 -0.798870 -0.005469

179 1.225384 -0.750420 -0.766213 -0.005245

180 1.232230 -0.720788 -0.735604 -0.005036

181 1.239076 -0.692939 -0.706864 -0.004839

182 1.245921 -0.666725 -0.679832 -0.004654

183 1.252767 -0.642011 -0.654368 -0.004480

184 1.259613 -0.618678 -0.630344 -0.004315

185 1.266459 -0.596617 -0.607647 -0.004160

186 1.273304 -0.575734 -0.586176 -0.004013

187 1.280150 -0.555940 -0.565837 -0.003874

188 1.286996 -0.537158 -0.546549 -0.003742

189 1.293841 -0.519314 -0.528236 -0.003616

190 1.300687 -0.502345 -0.510830 -0.003497

191 1.307533 -0.486191 -0.494268 -0.003384

192 1.314379 -0.470799 -0.478495 -0.003276

193 1.321224 -0.456118 -0.463459 -0.003173

194 1.328070 -0.442104 -0.449111 -0.003074

195 1.334916 -0.428716 -0.435410 -0.002981

196 1.341762 -0.415914 -0.422315 -0.002891

197 1.348607 -0.403664 -0.409789 -0.002805

198 1.355453 -0.391933 -0.397798 -0.002723

199 1.362299 -0.380691 -0.386312 -0.002645

200 1.369144 -0.369911 -0.375301 -0.002569

Page 382: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 4.00715

Page 383: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.3392

N 4.1671

RESULTADO

F(u,N) 1.3598

CALCULOSxo 0 N tramos= 200xn 1.33922 0.006696C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006696 1.000000 1.000000 0.006696

2 0.013392 1.000000 1.000000 0.006696

3 0.020088 1.000000 1.000000 0.006696

4 0.026784 1.000000 1.000000 0.006696

5 0.033480 1.000001 1.000000 0.006696

6 0.040177 1.000002 1.000001 0.006696

7 0.046873 1.000003 1.000002 0.006696

8 0.053569 1.000005 1.000004 0.006696

9 0.060265 1.000008 1.000007 0.006696

10 0.066961 1.000013 1.000011 0.006696

11 0.073657 1.000019 1.000016 0.006696

12 0.080353 1.000027 1.000023 0.006696

13 0.087049 1.000038 1.000033 0.006696

14 0.093745 1.000052 1.000045 0.006696

15 0.100441 1.000069 1.000061 0.006696

16 0.107137 1.000091 1.000080 0.006697

17 0.113834 1.000117 1.000104 0.006697

18 0.120530 1.000148 1.000133 0.006697

19 0.127226 1.000186 1.000167 0.006697

20 0.133922 1.000230 1.000208 0.006697

21 0.140618 1.000282 1.000256 0.006698

22 0.147314 1.000342 1.000312 0.006698

23 0.154010 1.000412 1.000377 0.006699

24 0.160706 1.000492 1.000452 0.006699

25 0.167402 1.000583 1.000537 0.006700

26 0.174098 1.000686 1.000635 0.006700

27 0.180794 1.000803 1.000745 0.006701

28 0.187491 1.000935 1.000869 0.006702

29 0.194187 1.001082 1.001009 0.006703

5

Page 384: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.200883 1.001247 1.001165 0.006704

31 0.207579 1.001430 1.001338 0.006705

32 0.214275 1.001632 1.001531 0.006706

33 0.220971 1.001856 1.001744 0.006708

34 0.227667 1.002102 1.001979 0.006709

35 0.234363 1.002373 1.002238 0.006711

36 0.241059 1.002669 1.002521 0.006713

37 0.247755 1.002993 1.002831 0.006715

38 0.254451 1.003346 1.003170 0.006717

39 0.261148 1.003730 1.003538 0.006720

40 0.267844 1.004147 1.003939 0.006722

41 0.274540 1.004598 1.004373 0.006725

42 0.281236 1.005087 1.004843 0.006729

43 0.287932 1.005614 1.005350 0.006732

44 0.294628 1.006182 1.005898 0.006736

45 0.301324 1.006793 1.006487 0.006740

46 0.308020 1.007449 1.007121 0.006744

47 0.314716 1.008153 1.007801 0.006748

48 0.321412 1.008907 1.008530 0.006753

49 0.328108 1.009714 1.009311 0.006758

50 0.334804 1.010576 1.010145 0.006764

51 0.341501 1.011497 1.011036 0.006770

52 0.348197 1.012478 1.011987 0.006776

53 0.354893 1.013522 1.013000 0.006783

54 0.361589 1.014634 1.014078 0.006790

55 0.368285 1.015815 1.015224 0.006798

56 0.374981 1.017069 1.016442 0.006806

57 0.381677 1.018400 1.017734 0.006815

58 0.388373 1.019810 1.019105 0.006824

59 0.395069 1.021304 1.020557 0.006834

60 0.401765 1.022885 1.022094 0.006844

61 0.408461 1.024557 1.023721 0.006855

62 0.415158 1.026324 1.025440 0.006866

63 0.421854 1.028190 1.027257 0.006879

64 0.428550 1.030159 1.029175 0.006891

65 0.435246 1.032237 1.031198 0.006905

66 0.441942 1.034428 1.033332 0.006919

67 0.448638 1.036736 1.035582 0.006934

68 0.455334 1.039167 1.037951 0.006950

69 0.462030 1.041726 1.040447 0.006967

70 0.468726 1.044419 1.043073 0.006985

71 0.475422 1.047252 1.045835 0.007003

Page 385: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.482118 1.050230 1.048741 0.007022

73 0.488815 1.053360 1.051795 0.007043

74 0.495511 1.056649 1.055004 0.007064

75 0.502207 1.060104 1.058376 0.007087

76 0.508903 1.063732 1.061918 0.007111

77 0.515599 1.067541 1.065636 0.007136

78 0.522295 1.071539 1.069540 0.007162

79 0.528991 1.075734 1.073636 0.007189

80 0.535687 1.080136 1.077935 0.007218

81 0.542383 1.084755 1.082446 0.007248

82 0.549079 1.089599 1.087177 0.007280

83 0.555775 1.094681 1.092140 0.007313

84 0.562472 1.100011 1.097346 0.007348

85 0.569168 1.105600 1.102805 0.007384

86 0.575864 1.111462 1.108531 0.007423

87 0.582560 1.117610 1.114536 0.007463

88 0.589256 1.124059 1.120834 0.007505

89 0.595952 1.130822 1.127440 0.007549

90 0.602648 1.137917 1.134370 0.007596

91 0.609344 1.145361 1.141639 0.007645

92 0.616040 1.153172 1.149266 0.007696

93 0.622736 1.161369 1.157270 0.007749

94 0.629432 1.169973 1.165671 0.007805

95 0.636129 1.179008 1.174491 0.007864

96 0.642825 1.188497 1.183752 0.007927

97 0.649521 1.198466 1.193481 0.007992

98 0.656217 1.208943 1.203704 0.008060

99 0.662913 1.219958 1.214450 0.008132

100 0.669609 1.231544 1.225751 0.008208

101 0.676305 1.243735 1.237640 0.008287

102 0.683001 1.256571 1.250153 0.008371

103 0.689697 1.270092 1.263332 0.008459

104 0.696393 1.284344 1.277218 0.008552

105 0.703089 1.299375 1.291859 0.008650

106 0.709786 1.315239 1.307307 0.008754

107 0.716482 1.331994 1.323616 0.008863

108 0.723178 1.349705 1.340849 0.008978

109 0.729874 1.368442 1.359073 0.009100

110 0.736570 1.388282 1.378362 0.009230

111 0.743266 1.409312 1.398797 0.009366

112 0.749962 1.431627 1.420470 0.009512

113 0.756658 1.455331 1.443479 0.009666

114 0.763354 1.480541 1.467936 0.009829

Page 386: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.770050 1.507390 1.493965 0.010004

116 0.776746 1.536021 1.521705 0.010189

117 0.783443 1.566601 1.551311 0.010388

118 0.790139 1.599315 1.582958 0.010600

119 0.796835 1.634373 1.616844 0.010827

120 0.803531 1.672012 1.653193 0.011070

121 0.810227 1.712506 1.692259 0.011332

122 0.816923 1.756166 1.734336 0.011613

123 0.823619 1.803351 1.779758 0.011917

124 0.830315 1.854477 1.828914 0.012247

125 0.837011 1.910028 1.882252 0.012604

126 0.843707 1.970572 1.940300 0.012992

127 0.850403 2.036776 2.003674 0.013417

128 0.857099 2.109435 2.073106 0.013882

129 0.863796 2.189500 2.149467 0.014393

130 0.870492 2.278115 2.233807 0.014958

131 0.877188 2.376679 2.327397 0.015584

132 0.883884 2.486909 2.431794 0.016284

133 0.890580 2.610945 2.548927 0.017068

134 0.897276 2.751483 2.681214 0.017954

135 0.903972 2.911974 2.831729 0.018962

136 0.910668 3.096901 3.004438 0.020118

137 0.917364 3.312200 3.204550 0.021458

138 0.924060 3.565901 3.439050 0.023028

139 0.930756 3.869143 3.717522 0.024893

140 0.937453 4.237830 4.053486 0.027143

141 0.944149 4.695496 4.466663 0.029909

142 0.950845 5.278500 4.986998 0.033393

143 0.957541 6.046132 5.662316 0.037915

144 0.964237 7.102093 6.574112 0.044021

145 0.970933 8.645635 7.873864 0.052724

146 0.977629 11.114579 9.880107 0.066158

147 0.984325 15.694864 13.404721 0.089759

148 0.991021 27.110215 21.402540 0.143313

149 0.997717 105.512785 66.311500 0.444028

150 1.004413 -53.994975 25.758905 0.172484

151 1.011110 -21.224469 -37.609722 -0.251838

152 1.017806 -13.103290 -17.163879 -0.114931

153 1.024502 -9.422157 -11.262724 -0.075416

154 1.031198 -7.322117 -8.372137 -0.056061

155 1.037894 -5.964995 -6.643556 -0.044486

156 1.044590 -5.016093 -5.490544 -0.036765

157 1.051286 -4.315509 -4.665801 -0.031243

Page 387: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.057982 -3.777206 -4.046358 -0.027095

159 1.064678 -3.350779 -3.563993 -0.023865

160 1.071374 -3.004735 -3.177757 -0.021279

161 1.078070 -2.718387 -2.861561 -0.019161

162 1.084767 -2.477586 -2.597987 -0.017396

163 1.091463 -2.272324 -2.374955 -0.015903

164 1.098159 -2.095326 -2.183825 -0.014623

165 1.104855 -1.941173 -2.018249 -0.013514

166 1.111551 -1.805750 -1.873462 -0.012545

167 1.118247 -1.685872 -1.745811 -0.011690

168 1.124943 -1.579038 -1.632455 -0.010931

169 1.131639 -1.483255 -1.531147 -0.010253

170 1.138335 -1.396917 -1.440086 -0.009643

171 1.145031 -1.318713 -1.357815 -0.009092

172 1.151727 -1.247564 -1.283138 -0.008592

173 1.158424 -1.182575 -1.215070 -0.008136

174 1.165120 -1.122994 -1.152785 -0.007719

175 1.171816 -1.068188 -1.095591 -0.007336

176 1.178512 -1.017618 -1.042903 -0.006983

177 1.185208 -0.970822 -0.994220 -0.006657

178 1.191904 -0.927405 -0.949114 -0.006355

179 1.198600 -0.887024 -0.907214 -0.006075

180 1.205296 -0.849379 -0.868201 -0.005814

181 1.211992 -0.814212 -0.831796 -0.005570

182 1.218688 -0.781292 -0.797752 -0.005342

183 1.225384 -0.750419 -0.765856 -0.005128

184 1.232081 -0.721415 -0.735917 -0.004928

185 1.238777 -0.694121 -0.707768 -0.004739

186 1.245473 -0.668396 -0.681258 -0.004562

187 1.252169 -0.644114 -0.656255 -0.004394

188 1.258865 -0.621163 -0.632639 -0.004236

189 1.265561 -0.599441 -0.610302 -0.004087

190 1.272257 -0.578856 -0.589149 -0.003945

191 1.278953 -0.559326 -0.569091 -0.003811

192 1.285649 -0.540776 -0.550051 -0.003683

193 1.292345 -0.523137 -0.531956 -0.003562

194 1.299041 -0.506348 -0.514743 -0.003447

195 1.305738 -0.490352 -0.498350 -0.003337

196 1.312434 -0.475098 -0.482725 -0.003232

197 1.319130 -0.460538 -0.467818 -0.003133

198 1.325826 -0.446628 -0.453583 -0.003037

199 1.332522 -0.433329 -0.439979 -0.002946

200 1.339218 -0.420604 -0.426967 -0.002859

Page 388: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.35977

Page 389: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.3093

N 4.1671

RESULTADO

F(u,N) 0.1866

CALCULOSxo 0 N tramos= 200xn 1.30929 0.006546C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006546 1.000000 1.000000 0.006546

2 0.013093 1.000000 1.000000 0.006546

3 0.019639 1.000000 1.000000 0.006546

4 0.026186 1.000000 1.000000 0.006546

5 0.032732 1.000001 1.000000 0.006546

6 0.039279 1.000001 1.000001 0.006546

7 0.045825 1.000003 1.000002 0.006546

8 0.052372 1.000005 1.000004 0.006546

9 0.058918 1.000008 1.000006 0.006546

10 0.065465 1.000012 1.000010 0.006547

11 0.072011 1.000017 1.000014 0.006547

12 0.078557 1.000025 1.000021 0.006547

13 0.085104 1.000035 1.000030 0.006547

14 0.091650 1.000047 1.000041 0.006547

15 0.098197 1.000063 1.000055 0.006547

16 0.104743 1.000083 1.000073 0.006547

17 0.111290 1.000106 1.000094 0.006547

18 0.117836 1.000135 1.000121 0.006547

19 0.124383 1.000169 1.000152 0.006547

20 0.130929 1.000209 1.000189 0.006548

21 0.137476 1.000256 1.000233 0.006548

22 0.144022 1.000311 1.000284 0.006548

23 0.150569 1.000375 1.000343 0.006549

24 0.157115 1.000447 1.000411 0.006549

25 0.163661 1.000530 1.000489 0.006550

26 0.170208 1.000625 1.000578 0.006550

27 0.176754 1.000731 1.000678 0.006551

28 0.183301 1.000851 1.000791 0.006552

29 0.189847 1.000985 1.000918 0.006552

6

Page 390: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.196394 1.001135 1.001060 0.006553

31 0.202940 1.001301 1.001218 0.006554

32 0.209487 1.001485 1.001393 0.006556

33 0.216033 1.001689 1.001587 0.006557

34 0.222580 1.001913 1.001801 0.006558

35 0.229126 1.002159 1.002036 0.006560

36 0.235672 1.002429 1.002294 0.006561

37 0.242219 1.002723 1.002576 0.006563

38 0.248765 1.003045 1.002884 0.006565

39 0.255312 1.003394 1.003219 0.006568

40 0.261858 1.003773 1.003583 0.006570

41 0.268405 1.004183 1.003978 0.006573

42 0.274951 1.004627 1.004405 0.006575

43 0.281498 1.005107 1.004867 0.006578

44 0.288044 1.005623 1.005365 0.006582

45 0.294591 1.006178 1.005901 0.006585

46 0.301137 1.006775 1.006477 0.006589

47 0.307684 1.007415 1.007095 0.006593

48 0.314230 1.008100 1.007757 0.006597

49 0.320776 1.008833 1.008467 0.006602

50 0.327323 1.009617 1.009225 0.006607

51 0.333869 1.010453 1.010035 0.006612

52 0.340416 1.011343 1.010898 0.006618

53 0.346962 1.012292 1.011818 0.006624

54 0.353509 1.013301 1.012797 0.006630

55 0.360055 1.014373 1.013837 0.006637

56 0.366602 1.015511 1.014942 0.006644

57 0.373148 1.016718 1.016115 0.006652

58 0.379695 1.017998 1.017358 0.006660

59 0.386241 1.019352 1.018675 0.006669

60 0.392787 1.020785 1.020069 0.006678

61 0.399334 1.022300 1.021543 0.006687

62 0.405880 1.023901 1.023101 0.006698

63 0.412427 1.025591 1.024746 0.006708

64 0.418973 1.027375 1.026483 0.006720

65 0.425520 1.029255 1.028315 0.006732

66 0.432066 1.031237 1.030246 0.006744

67 0.438613 1.033324 1.032281 0.006758

68 0.445159 1.035522 1.034423 0.006772

69 0.451706 1.037834 1.036678 0.006787

70 0.458252 1.040266 1.039050 0.006802

71 0.464798 1.042823 1.041544 0.006818

Page 391: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.471345 1.045510 1.044166 0.006836

73 0.477891 1.048332 1.046921 0.006854

74 0.484438 1.051296 1.049814 0.006873

75 0.490984 1.054408 1.052852 0.006892

76 0.497531 1.057673 1.056041 0.006913

77 0.504077 1.061099 1.059386 0.006935

78 0.510624 1.064693 1.062896 0.006958

79 0.517170 1.068461 1.066577 0.006982

80 0.523717 1.072413 1.070437 0.007008

81 0.530263 1.076554 1.074483 0.007034

82 0.536810 1.080895 1.078725 0.007062

83 0.543356 1.085444 1.083170 0.007091

84 0.549902 1.090211 1.087828 0.007121

85 0.556449 1.095206 1.092708 0.007153

86 0.562995 1.100438 1.097822 0.007187

87 0.569542 1.105920 1.103179 0.007222

88 0.576088 1.111664 1.108792 0.007259

89 0.582635 1.117681 1.114672 0.007297

90 0.589181 1.123985 1.120833 0.007337

91 0.595728 1.130590 1.127288 0.007380

92 0.602274 1.137512 1.134051 0.007424

93 0.608821 1.144766 1.141139 0.007470

94 0.615367 1.152369 1.148567 0.007519

95 0.621913 1.160340 1.156354 0.007570

96 0.628460 1.168697 1.164519 0.007623

97 0.635006 1.177463 1.173080 0.007680

98 0.641553 1.186659 1.182061 0.007738

99 0.648099 1.196308 1.191483 0.007800

100 0.654646 1.206437 1.201373 0.007865

101 0.661192 1.217074 1.211756 0.007933

102 0.667739 1.228248 1.222661 0.008004

103 0.674285 1.239992 1.234120 0.008079

104 0.680832 1.252339 1.246166 0.008158

105 0.687378 1.265329 1.258834 0.008241

106 0.693925 1.279001 1.272165 0.008328

107 0.700471 1.293401 1.286201 0.008420

108 0.707017 1.308576 1.300988 0.008517

109 0.713564 1.324579 1.316578 0.008619

110 0.720110 1.341469 1.333024 0.008727

111 0.726657 1.359307 1.350388 0.008840

112 0.733203 1.378164 1.368735 0.008960

113 0.739750 1.398115 1.388140 0.009087

114 0.746296 1.419245 1.408680 0.009222

Page 392: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.752843 1.441647 1.430446 0.009364

116 0.759389 1.465424 1.453535 0.009516

117 0.765936 1.490690 1.478057 0.009676

118 0.772482 1.517573 1.504131 0.009847

119 0.779028 1.546215 1.531894 0.010028

120 0.785575 1.576778 1.561497 0.010222

121 0.792121 1.609442 1.593110 0.010429

122 0.798668 1.644410 1.626926 0.010651

123 0.805214 1.681913 1.663161 0.010888

124 0.811761 1.722216 1.702064 0.011142

125 0.818307 1.765618 1.743917 0.011416

126 0.824854 1.812468 1.789043 0.011712

127 0.831400 1.863164 1.837816 0.012031

128 0.837947 1.918171 1.890667 0.012377

129 0.844493 1.978033 1.948102 0.012753

130 0.851039 2.043387 2.010710 0.013163

131 0.857586 2.114990 2.079188 0.013611

132 0.864132 2.193742 2.154366 0.014103

133 0.870679 2.280728 2.237235 0.014646

134 0.877225 2.377263 2.328995 0.015247

135 0.883772 2.484957 2.431110 0.015915

136 0.890318 2.605807 2.545382 0.016663

137 0.896865 2.742315 2.674061 0.017506

138 0.903411 2.897662 2.819988 0.018461

139 0.909958 3.075954 2.986808 0.019553

140 0.916504 3.282585 3.179269 0.020813

141 0.923051 3.524784 3.403685 0.022282

142 0.929597 3.812470 3.668627 0.024017

143 0.936143 4.159628 3.986049 0.026095

144 0.942690 4.586633 4.373130 0.028629

145 0.949236 5.124370 4.855501 0.031786

146 0.955783 5.822017 5.473194 0.035830

147 0.962329 6.762934 6.292475 0.041193

148 0.968876 8.100614 7.431774 0.048652

149 0.975422 10.152087 9.126351 0.059745

150 0.981969 13.694789 11.923438 0.078056

151 0.988515 21.278718 17.486753 0.114476

152 0.995062 48.975111 35.126915 0.229957

153 1.001608 -148.858126 -49.941507 -0.326940

154 1.008154 -29.051427 -88.954777 -0.582339

155 1.014701 -15.948641 -22.500034 -0.147296

156 1.021247 -10.921252 -13.434947 -0.087951

157 1.027794 -8.263106 -9.592179 -0.062795

Page 393: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.034340 -6.619212 -7.441159 -0.048713

159 1.040887 -5.502384 -6.060798 -0.039677

160 1.047433 -4.694387 -5.098385 -0.033376

161 1.053980 -4.082855 -4.388621 -0.028730

162 1.060526 -3.604035 -3.843445 -0.025161

163 1.067073 -3.219063 -3.411549 -0.022334

164 1.073619 -2.902901 -3.060982 -0.020039

165 1.080166 -2.638688 -2.770794 -0.018139

166 1.086712 -2.414654 -2.526671 -0.016541

167 1.093258 -2.222335 -2.318494 -0.015178

168 1.099805 -2.055488 -2.138912 -0.014002

169 1.106351 -1.909407 -1.982448 -0.012978

170 1.112898 -1.780477 -1.844942 -0.012078

171 1.119444 -1.665876 -1.723177 -0.011281

172 1.125991 -1.563368 -1.614622 -0.010570

173 1.132537 -1.471160 -1.517264 -0.009933

174 1.139084 -1.387795 -1.429477 -0.009358

175 1.145630 -1.312078 -1.349936 -0.008837

176 1.152177 -1.243022 -1.277550 -0.008363

177 1.158723 -1.179800 -1.211411 -0.007930

178 1.165269 -1.121718 -1.150759 -0.007533

179 1.171816 -1.068186 -1.094952 -0.007168

180 1.178362 -1.018703 -1.043445 -0.006831

181 1.184909 -0.972837 -0.995770 -0.006519

182 1.191455 -0.930216 -0.951527 -0.006229

183 1.198002 -0.890516 -0.910366 -0.005960

184 1.204548 -0.853457 -0.871987 -0.005708

185 1.211095 -0.818791 -0.836124 -0.005474

186 1.217641 -0.786301 -0.802546 -0.005254

187 1.224188 -0.755796 -0.771048 -0.005048

188 1.230734 -0.727105 -0.741450 -0.004854

189 1.237280 -0.700078 -0.713592 -0.004671

190 1.243827 -0.674580 -0.687329 -0.004500

191 1.250373 -0.650490 -0.662535 -0.004337

192 1.256920 -0.627699 -0.639094 -0.004184

193 1.263466 -0.606110 -0.616904 -0.004039

194 1.270013 -0.585634 -0.595872 -0.003901

195 1.276559 -0.566192 -0.575913 -0.003770

196 1.283106 -0.547711 -0.556952 -0.003646

197 1.289652 -0.530126 -0.538919 -0.003528

198 1.296199 -0.513376 -0.521751 -0.003416

199 1.302745 -0.497406 -0.505391 -0.003309

200 1.309292 -0.482167 -0.489786 -0.003206

Page 394: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 0.18663

Page 395: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.2794

N 4.1671

RESULTADO

F(u,N) 1.4308

CALCULOSxo 0 N tramos= 200xn 1.27937 0.006397C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006397 1.000000 1.000000 0.006397

2 0.012794 1.000000 1.000000 0.006397

3 0.019190 1.000000 1.000000 0.006397

4 0.025587 1.000000 1.000000 0.006397

5 0.031984 1.000001 1.000000 0.006397

6 0.038381 1.000001 1.000001 0.006397

7 0.044778 1.000002 1.000002 0.006397

8 0.051175 1.000004 1.000003 0.006397

9 0.057571 1.000007 1.000005 0.006397

10 0.063968 1.000011 1.000009 0.006397

11 0.070365 1.000016 1.000013 0.006397

12 0.076762 1.000023 1.000019 0.006397

13 0.083159 1.000032 1.000027 0.006397

14 0.089556 1.000043 1.000037 0.006397

15 0.095952 1.000057 1.000050 0.006397

16 0.102349 1.000075 1.000066 0.006397

17 0.108746 1.000097 1.000086 0.006397

18 0.115143 1.000123 1.000110 0.006398

19 0.121540 1.000153 1.000138 0.006398

20 0.127937 1.000190 1.000172 0.006398

21 0.134333 1.000233 1.000211 0.006398

22 0.140730 1.000283 1.000258 0.006398

23 0.147127 1.000340 1.000312 0.006399

24 0.153524 1.000406 1.000373 0.006399

25 0.159921 1.000482 1.000444 0.006400

26 0.166317 1.000567 1.000525 0.006400

27 0.172714 1.000664 1.000616 0.006401

28 0.179111 1.000773 1.000718 0.006401

29 0.185508 1.000895 1.000834 0.006402

7

Page 396: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.191905 1.001030 1.000962 0.006403

31 0.198302 1.001181 1.001106 0.006404

32 0.204698 1.001349 1.001265 0.006405

33 0.211095 1.001534 1.001441 0.006406

34 0.217492 1.001737 1.001635 0.006407

35 0.223889 1.001961 1.001849 0.006409

36 0.230286 1.002205 1.002083 0.006410

37 0.236683 1.002473 1.002339 0.006412

38 0.243079 1.002764 1.002618 0.006414

39 0.249476 1.003081 1.002923 0.006416

40 0.255873 1.003425 1.003253 0.006418

41 0.262270 1.003798 1.003611 0.006420

42 0.268667 1.004201 1.003999 0.006422

43 0.275063 1.004635 1.004418 0.006425

44 0.281460 1.005104 1.004870 0.006428

45 0.287857 1.005608 1.005356 0.006431

46 0.294254 1.006149 1.005878 0.006434

47 0.300651 1.006729 1.006439 0.006438

48 0.307048 1.007351 1.007040 0.006442

49 0.313444 1.008015 1.007683 0.006446

50 0.319841 1.008726 1.008371 0.006450

51 0.326238 1.009483 1.009104 0.006455

52 0.332635 1.010291 1.009887 0.006460

53 0.339032 1.011150 1.010721 0.006465

54 0.345429 1.012065 1.011607 0.006471

55 0.351825 1.013036 1.012550 0.006477

56 0.358222 1.014066 1.013551 0.006484

57 0.364619 1.015159 1.014613 0.006490

58 0.371016 1.016317 1.015738 0.006498

59 0.377413 1.017543 1.016930 0.006505

60 0.383810 1.018840 1.018192 0.006513

61 0.390206 1.020211 1.019525 0.006522

62 0.396603 1.021658 1.020934 0.006531

63 0.403000 1.023186 1.022422 0.006540

64 0.409397 1.024798 1.023992 0.006550

65 0.415794 1.026497 1.025647 0.006561

66 0.422190 1.028286 1.027392 0.006572

67 0.428587 1.030171 1.029229 0.006584

68 0.434984 1.032154 1.031162 0.006596

69 0.441381 1.034240 1.033197 0.006609

70 0.447778 1.036433 1.035336 0.006623

71 0.454175 1.038737 1.037585 0.006637

Page 397: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.460571 1.041157 1.039947 0.006652

73 0.466968 1.043699 1.042428 0.006668

74 0.473365 1.046366 1.045032 0.006685

75 0.479762 1.049165 1.047765 0.006702

76 0.486159 1.052100 1.050632 0.006721

77 0.492556 1.055177 1.053639 0.006740

78 0.498952 1.058404 1.056790 0.006760

79 0.505349 1.061784 1.060094 0.006781

80 0.511746 1.065326 1.063555 0.006803

81 0.518143 1.069037 1.067182 0.006827

82 0.524540 1.072923 1.070980 0.006851

83 0.530937 1.076991 1.074957 0.006876

84 0.537333 1.081251 1.079121 0.006903

85 0.543730 1.085711 1.083481 0.006931

86 0.550127 1.090379 1.088045 0.006960

87 0.556524 1.095264 1.092821 0.006991

88 0.562921 1.100377 1.097821 0.007023

89 0.569317 1.105728 1.103053 0.007056

90 0.575714 1.111328 1.108528 0.007091

91 0.582111 1.117189 1.114259 0.007128

92 0.588508 1.123323 1.120256 0.007166

93 0.594905 1.129743 1.126533 0.007206

94 0.601302 1.136463 1.133103 0.007248

95 0.607698 1.143498 1.139981 0.007292

96 0.614095 1.150864 1.147181 0.007338

97 0.620492 1.158577 1.154720 0.007387

98 0.626889 1.166655 1.162616 0.007437

99 0.633286 1.175118 1.170887 0.007490

100 0.639683 1.183986 1.179552 0.007545

101 0.646079 1.193281 1.188633 0.007603

102 0.652476 1.203026 1.198153 0.007664

103 0.658873 1.213246 1.208136 0.007728

104 0.665270 1.223969 1.218608 0.007795

105 0.671667 1.235224 1.229597 0.007866

106 0.678063 1.247042 1.241133 0.007939

107 0.684460 1.259458 1.253250 0.008017

108 0.690857 1.272507 1.265983 0.008098

109 0.697254 1.286231 1.279369 0.008184

110 0.703651 1.300672 1.293451 0.008274

111 0.710048 1.315877 1.308275 0.008369

112 0.716444 1.331898 1.323888 0.008469

113 0.722841 1.348791 1.340345 0.008574

114 0.729238 1.366617 1.357704 0.008685

Page 398: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.735635 1.385443 1.376030 0.008802

116 0.742032 1.405343 1.395393 0.008926

117 0.748429 1.426398 1.415870 0.009057

118 0.754825 1.448698 1.437548 0.009196

119 0.761222 1.472343 1.460521 0.009343

120 0.767619 1.497443 1.484893 0.009499

121 0.774016 1.524120 1.510782 0.009664

122 0.780413 1.552512 1.538316 0.009840

123 0.786810 1.582772 1.567642 0.010028

124 0.793206 1.615072 1.598922 0.010228

125 0.799603 1.649607 1.632340 0.010442

126 0.806000 1.686597 1.668102 0.010671

127 0.812397 1.726292 1.706444 0.010916

128 0.818794 1.768977 1.747634 0.011179

129 0.825190 1.814978 1.791977 0.011463

130 0.831587 1.864674 1.839826 0.011769

131 0.837984 1.918500 1.891587 0.012100

132 0.844381 1.976964 1.947732 0.012459

133 0.850778 2.040660 2.008812 0.012850

134 0.857175 2.110290 2.075475 0.013276

135 0.863571 2.186688 2.148489 0.013744

136 0.869968 2.270850 2.228769 0.014257

137 0.876365 2.363979 2.317414 0.014824

138 0.882762 2.467541 2.415760 0.015453

139 0.889159 2.583340 2.525440 0.016155

140 0.895556 2.713622 2.648481 0.016942

141 0.901952 2.861220 2.787421 0.017831

142 0.908349 3.029757 2.945489 0.018842

143 0.914746 3.223942 3.126849 0.020002

144 0.921143 3.450014 3.336978 0.021346

145 0.927540 3.716414 3.583214 0.022921

146 0.933937 4.034855 3.875635 0.024792

147 0.940333 4.422069 4.228462 0.027049

148 0.946730 4.902826 4.662447 0.029825

149 0.953127 5.515420 5.209123 0.033322

150 0.959524 6.322349 5.918885 0.037862

151 0.965921 7.433040 6.877695 0.043995

152 0.972317 9.058060 8.245550 0.052745

153 0.978714 11.661100 10.359580 0.066268

154 0.985111 16.502723 14.081911 0.090080

155 0.991508 28.641678 22.572200 0.144390

156 0.997905 114.914775 71.778226 0.459153

157 1.004302 -55.409209 29.752783 0.190323

Page 399: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.010698 -22.054477 -38.731843 -0.247761

159 1.017095 -13.663138 -17.858807 -0.114240

160 1.023492 -9.842787 -11.752962 -0.075182

161 1.029889 -7.658566 -8.750677 -0.055977

162 1.036286 -6.245164 -6.951865 -0.044470

163 1.042683 -5.256009 -5.750586 -0.036785

164 1.049079 -4.525210 -4.890609 -0.031284

165 1.055476 -3.963392 -4.244301 -0.027150

166 1.061873 -3.518140 -3.740766 -0.023929

167 1.068270 -3.156684 -3.337412 -0.021349

168 1.074667 -2.857483 -3.007084 -0.019236

169 1.081063 -2.605797 -2.731640 -0.017474

170 1.087460 -2.391197 -2.498497 -0.015982

171 1.093857 -2.206098 -2.298648 -0.014704

172 1.100254 -2.044850 -2.125474 -0.013596

173 1.106651 -1.903159 -1.974005 -0.012627

174 1.113048 -1.777704 -1.840432 -0.011773

175 1.119444 -1.665873 -1.721789 -0.011014

176 1.125841 -1.565587 -1.615730 -0.010336

177 1.132238 -1.475170 -1.520379 -0.009726

178 1.138635 -1.393252 -1.434211 -0.009174

179 1.145032 -1.318708 -1.355980 -0.008674

180 1.151429 -1.250602 -1.284655 -0.008218

181 1.157825 -1.188150 -1.219376 -0.007800

182 1.164222 -1.130689 -1.159420 -0.007417

183 1.170619 -1.077657 -1.104173 -0.007063

184 1.177016 -1.028572 -1.053115 -0.006737

185 1.183413 -0.983021 -1.005797 -0.006434

186 1.189810 -0.940644 -0.961832 -0.006153

187 1.196206 -0.901130 -0.920887 -0.005891

188 1.202603 -0.864207 -0.882669 -0.005646

189 1.209000 -0.829636 -0.846922 -0.005418

190 1.215397 -0.797207 -0.813421 -0.005203

191 1.221794 -0.766732 -0.781969 -0.005002

192 1.228190 -0.738047 -0.752390 -0.004813

193 1.234587 -0.711005 -0.724526 -0.004635

194 1.240984 -0.685473 -0.698239 -0.004467

195 1.247381 -0.661334 -0.673404 -0.004308

196 1.253778 -0.638482 -0.649908 -0.004157

197 1.260175 -0.616821 -0.627651 -0.004015

198 1.266571 -0.596264 -0.606542 -0.003880

199 1.272968 -0.576733 -0.586499 -0.003752

200 1.279365 -0.558157 -0.567445 -0.003630

Page 400: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.43080

Page 401: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.2494

N 4.1671

RESULTADO

F(u,N) 4.2764

CALCULOSxo 0 N tramos= 200xn 1.24944 0.006247C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006247 1.000000 1.000000 0.006247

2 0.012494 1.000000 1.000000 0.006247

3 0.018742 1.000000 1.000000 0.006247

4 0.024989 1.000000 1.000000 0.006247

5 0.031236 1.000001 1.000000 0.006247

6 0.037483 1.000001 1.000001 0.006247

7 0.043730 1.000002 1.000002 0.006247

8 0.049978 1.000004 1.000003 0.006247

9 0.056225 1.000006 1.000005 0.006247

10 0.062472 1.000010 1.000008 0.006247

11 0.068719 1.000014 1.000012 0.006247

12 0.074966 1.000020 1.000017 0.006247

13 0.081214 1.000029 1.000025 0.006247

14 0.087461 1.000039 1.000034 0.006247

15 0.093708 1.000052 1.000045 0.006247

16 0.099955 1.000068 1.000060 0.006248

17 0.106202 1.000087 1.000078 0.006248

18 0.112449 1.000111 1.000099 0.006248

19 0.118697 1.000139 1.000125 0.006248

20 0.124944 1.000172 1.000156 0.006248

21 0.131191 1.000211 1.000192 0.006248

22 0.137438 1.000256 1.000234 0.006249

23 0.143685 1.000308 1.000282 0.006249

24 0.149933 1.000368 1.000338 0.006249

25 0.156180 1.000436 1.000402 0.006250

26 0.162427 1.000514 1.000475 0.006250

27 0.168674 1.000602 1.000558 0.006251

28 0.174921 1.000700 1.000651 0.006251

29 0.181169 1.000810 1.000755 0.006252

8

Page 402: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.187416 1.000934 1.000872 0.006253

31 0.193663 1.001070 1.001002 0.006253

32 0.199910 1.001222 1.001146 0.006254

33 0.206157 1.001389 1.001306 0.006255

34 0.212405 1.001574 1.001482 0.006256

35 0.218652 1.001776 1.001675 0.006258

36 0.224899 1.001998 1.001887 0.006259

37 0.231146 1.002240 1.002119 0.006260

38 0.237393 1.002504 1.002372 0.006262

39 0.243641 1.002791 1.002647 0.006264

40 0.249888 1.003102 1.002947 0.006266

41 0.256135 1.003440 1.003271 0.006268

42 0.262382 1.003805 1.003622 0.006270

43 0.268629 1.004198 1.004001 0.006272

44 0.274877 1.004622 1.004410 0.006275

45 0.281124 1.005078 1.004850 0.006277

46 0.287371 1.005568 1.005323 0.006280

47 0.293618 1.006093 1.005831 0.006284

48 0.299865 1.006656 1.006374 0.006287

49 0.306112 1.007257 1.006956 0.006291

50 0.312360 1.007900 1.007578 0.006295

51 0.318607 1.008585 1.008242 0.006299

52 0.324854 1.009315 1.008950 0.006303

53 0.331101 1.010093 1.009704 0.006308

54 0.337348 1.010919 1.010506 0.006313

55 0.343596 1.011797 1.011358 0.006318

56 0.349843 1.012728 1.012263 0.006324

57 0.356090 1.013716 1.013222 0.006330

58 0.362337 1.014762 1.014239 0.006336

59 0.368584 1.015869 1.015316 0.006343

60 0.374832 1.017040 1.016455 0.006350

61 0.381079 1.018278 1.017659 0.006358

62 0.387326 1.019584 1.018931 0.006365

63 0.393573 1.020963 1.020273 0.006374

64 0.399820 1.022416 1.021690 0.006383

65 0.406068 1.023948 1.023182 0.006392

66 0.412315 1.025562 1.024755 0.006402

67 0.418562 1.027260 1.026411 0.006412

68 0.424809 1.029046 1.028153 0.006423

69 0.431056 1.030924 1.029985 0.006435

70 0.437304 1.032898 1.031911 0.006447

71 0.443551 1.034971 1.033935 0.006459

Page 403: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.449798 1.037148 1.036060 0.006472

73 0.456045 1.039432 1.038290 0.006486

74 0.462292 1.041829 1.040631 0.006501

75 0.468539 1.044342 1.043086 0.006516

76 0.474787 1.046976 1.045659 0.006532

77 0.481034 1.049737 1.048357 0.006549

78 0.487281 1.052629 1.051183 0.006567

79 0.493528 1.055658 1.054144 0.006585

80 0.499775 1.058830 1.057244 0.006605

81 0.506023 1.062150 1.060490 0.006625

82 0.512270 1.065624 1.063887 0.006646

83 0.518517 1.069259 1.067442 0.006669

84 0.524764 1.073062 1.071161 0.006692

85 0.531011 1.077040 1.075051 0.006716

86 0.537259 1.081200 1.079120 0.006741

87 0.543506 1.085551 1.083376 0.006768

88 0.549753 1.090100 1.087825 0.006796

89 0.556000 1.094856 1.092478 0.006825

90 0.562247 1.099828 1.097342 0.006855

91 0.568495 1.105026 1.102427 0.006887

92 0.574742 1.110460 1.107743 0.006920

93 0.580989 1.116142 1.113301 0.006955

94 0.587236 1.122081 1.119111 0.006991

95 0.593483 1.128291 1.125186 0.007029

96 0.599731 1.134784 1.131538 0.007069

97 0.605978 1.141574 1.138179 0.007110

98 0.612225 1.148675 1.145125 0.007154

99 0.618472 1.156103 1.152389 0.007199

100 0.624719 1.163873 1.159988 0.007247

101 0.630967 1.172004 1.167939 0.007296

102 0.637214 1.180514 1.176259 0.007348

103 0.643461 1.189423 1.184969 0.007403

104 0.649708 1.198752 1.194087 0.007460

105 0.655955 1.208524 1.203638 0.007519

106 0.662202 1.218763 1.213643 0.007582

107 0.668450 1.229496 1.224129 0.007647

108 0.674697 1.240750 1.235123 0.007716

109 0.680944 1.252557 1.246654 0.007788

110 0.687191 1.264949 1.258753 0.007864

111 0.693438 1.277962 1.271455 0.007943

112 0.699686 1.291634 1.284798 0.008026

113 0.705933 1.306006 1.298820 0.008114

114 0.712180 1.321125 1.313565 0.008206

Page 404: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.718427 1.337038 1.329081 0.008303

116 0.724674 1.353801 1.345420 0.008405

117 0.730922 1.371471 1.362636 0.008513

118 0.737169 1.390114 1.380792 0.008626

119 0.743416 1.409798 1.399956 0.008746

120 0.749663 1.430602 1.420200 0.008872

121 0.755910 1.452611 1.441607 0.009006

122 0.762158 1.475920 1.464266 0.009148

123 0.768405 1.500632 1.488276 0.009298

124 0.774652 1.526864 1.513748 0.009457

125 0.780899 1.554746 1.540805 0.009626

126 0.787146 1.584420 1.569583 0.009805

127 0.793394 1.616050 1.600235 0.009997

128 0.799641 1.649817 1.632933 0.010201

129 0.805888 1.685926 1.667872 0.010420

130 0.812135 1.724611 1.705269 0.010653

131 0.818382 1.766136 1.745373 0.010904

132 0.824630 1.810802 1.788469 0.011173

133 0.830877 1.858958 1.834880 0.011463

134 0.837124 1.911004 1.884981 0.011776

135 0.843371 1.967402 1.939203 0.012115

136 0.849618 2.028696 1.998049 0.012482

137 0.855865 2.095519 2.062107 0.012882

138 0.862113 2.168621 2.132070 0.013319

139 0.868360 2.248896 2.208759 0.013799

140 0.874607 2.337412 2.293154 0.014326

141 0.880854 2.435465 2.386439 0.014909

142 0.887101 2.544636 2.490050 0.015556

143 0.893349 2.666876 2.605756 0.016279

144 0.899596 2.804622 2.735749 0.017091

145 0.905843 2.960959 2.882791 0.018009

146 0.912090 3.139847 3.050403 0.019056

147 0.918337 3.346459 3.243153 0.020261

148 0.924585 3.587682 3.467071 0.021659

149 0.930832 3.872889 3.730285 0.023304

150 0.937079 4.215179 4.044034 0.025264

151 0.943326 4.633424 4.424301 0.027639

152 0.949573 5.155848 4.894636 0.030578

153 0.955821 5.826641 5.491245 0.034305

154 0.962068 6.719103 6.272872 0.039188

155 0.968315 7.964342 7.341722 0.045865

156 0.974562 9.822260 8.893301 0.055558

157 0.980809 12.891188 11.356724 0.070948

Page 405: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.987057 18.924592 15.907890 0.099380

159 0.993304 36.219428 27.572010 0.172248

160 0.999551 534.740869 285.480148 1.783450

161 1.005798 -41.010617 246.865126 1.542214

162 1.012045 -19.546717 -30.278667 -0.189157

163 1.018292 -12.744755 -16.145736 -0.100866

164 1.024540 -9.407027 -11.075891 -0.069193

165 1.030787 -7.424664 -8.415845 -0.052575

166 1.037034 -6.111760 -6.768212 -0.042282

167 1.043281 -5.178421 -5.645090 -0.035266

168 1.049528 -4.481015 -4.829718 -0.030172

169 1.055776 -3.940260 -4.210637 -0.026305

170 1.062023 -3.508817 -3.724538 -0.023268

171 1.068270 -3.156674 -3.332745 -0.020820

172 1.074517 -2.863883 -3.010279 -0.018806

173 1.080764 -2.616669 -2.740276 -0.017119

174 1.087012 -2.405213 -2.510941 -0.015686

175 1.093259 -2.222325 -2.313769 -0.014455

176 1.099506 -2.062622 -2.142473 -0.013384

177 1.105753 -1.921995 -1.992308 -0.012446

178 1.112000 -1.797248 -1.859621 -0.011617

179 1.118248 -1.685863 -1.741555 -0.010880

180 1.124495 -1.585826 -1.635844 -0.010219

181 1.130742 -1.495510 -1.540668 -0.009625

182 1.136989 -1.413582 -1.454546 -0.009087

183 1.143236 -1.338943 -1.376262 -0.008598

184 1.149484 -1.270679 -1.304811 -0.008151

185 1.155731 -1.208021 -1.239350 -0.007742

186 1.161978 -1.150318 -1.179169 -0.007366

187 1.168225 -1.097017 -1.123667 -0.007020

188 1.174472 -1.047645 -1.072331 -0.006699

189 1.180720 -1.001793 -1.024719 -0.006402

190 1.186967 -0.959106 -0.980449 -0.006125

191 1.193214 -0.919277 -0.939191 -0.005867

192 1.199461 -0.882036 -0.900656 -0.005627

193 1.205708 -0.847146 -0.864591 -0.005401

194 1.211955 -0.814399 -0.830772 -0.005190

195 1.218203 -0.783609 -0.799004 -0.004992

196 1.224450 -0.754612 -0.769111 -0.004805

197 1.230697 -0.727262 -0.740937 -0.004629

198 1.236944 -0.701428 -0.714345 -0.004463

199 1.243191 -0.676992 -0.689210 -0.004306

200 1.249439 -0.653848 -0.665420 -0.004157

Page 406: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 4.27644

Page 407: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 1.2195

N 4.1671

RESULTADO

F(u,N) ###

CALCULOSxo 0 N tramos= 200xn 1.21951 0.006098C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006098 1.000000 1.000000 0.006098

2 0.012195 1.000000 1.000000 0.006098

3 0.018293 1.000000 1.000000 0.006098

4 0.024390 1.000000 1.000000 0.006098

5 0.030488 1.000000 1.000000 0.006098

6 0.036585 1.000001 1.000001 0.006098

7 0.042683 1.000002 1.000001 0.006098

8 0.048780 1.000003 1.000003 0.006098

9 0.054878 1.000006 1.000005 0.006098

10 0.060976 1.000009 1.000007 0.006098

11 0.067073 1.000013 1.000011 0.006098

12 0.073171 1.000019 1.000016 0.006098

13 0.079268 1.000026 1.000022 0.006098

14 0.085366 1.000035 1.000031 0.006098

15 0.091463 1.000047 1.000041 0.006098

16 0.097561 1.000061 1.000054 0.006098

17 0.103659 1.000079 1.000070 0.006098

18 0.109756 1.000100 1.000090 0.006098

19 0.115854 1.000126 1.000113 0.006098

20 0.121951 1.000156 1.000141 0.006098

21 0.128049 1.000191 1.000173 0.006099

22 0.134146 1.000232 1.000211 0.006099

23 0.140244 1.000279 1.000255 0.006099

24 0.146341 1.000333 1.000306 0.006099

25 0.152439 1.000395 1.000364 0.006100

26 0.158537 1.000465 1.000430 0.006100

27 0.164634 1.000544 1.000504 0.006101

28 0.170732 1.000633 1.000588 0.006101

29 0.176829 1.000733 1.000683 0.006102

9

Page 408: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.182927 1.000844 1.000788 0.006102

31 0.189024 1.000967 1.000906 0.006103

32 0.195122 1.001104 1.001036 0.006104

33 0.201220 1.001256 1.001180 0.006105

34 0.207317 1.001422 1.001339 0.006106

35 0.213415 1.001605 1.001514 0.006107

36 0.219512 1.001805 1.001705 0.006108

37 0.225610 1.002024 1.001915 0.006109

38 0.231707 1.002263 1.002144 0.006111

39 0.237805 1.002522 1.002392 0.006112

40 0.243902 1.002803 1.002663 0.006114

41 0.250000 1.003108 1.002956 0.006116

42 0.256098 1.003438 1.003273 0.006118

43 0.262195 1.003793 1.003615 0.006120

44 0.268293 1.004176 1.003985 0.006122

45 0.274390 1.004588 1.004382 0.006124

46 0.280488 1.005030 1.004809 0.006127

47 0.286585 1.005504 1.005267 0.006130

48 0.292683 1.006012 1.005758 0.006133

49 0.298780 1.006555 1.006284 0.006136

50 0.304878 1.007135 1.006845 0.006139

51 0.310976 1.007754 1.007444 0.006143

52 0.317073 1.008413 1.008083 0.006147

53 0.323171 1.009114 1.008763 0.006151

54 0.329268 1.009859 1.009487 0.006155

55 0.335366 1.010651 1.010255 0.006160

56 0.341463 1.011491 1.011071 0.006165

57 0.347561 1.012382 1.011937 0.006170

58 0.353659 1.013325 1.012853 0.006176

59 0.359756 1.014323 1.013824 0.006182

60 0.365854 1.015378 1.014850 0.006188

61 0.371951 1.016492 1.015935 0.006195

62 0.378049 1.017669 1.017081 0.006202

63 0.384146 1.018910 1.018290 0.006209

64 0.390244 1.020219 1.019565 0.006217

65 0.396341 1.021597 1.020908 0.006225

66 0.402439 1.023049 1.022323 0.006234

67 0.408537 1.024576 1.023812 0.006243

68 0.414634 1.026182 1.025379 0.006252

69 0.420732 1.027870 1.027026 0.006262

70 0.426829 1.029643 1.028757 0.006273

71 0.432927 1.031505 1.030574 0.006284

Page 409: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.439024 1.033459 1.032482 0.006296

73 0.445122 1.035509 1.034484 0.006308

74 0.451220 1.037658 1.036584 0.006321

75 0.457317 1.039911 1.038785 0.006334

76 0.463415 1.042272 1.041091 0.006348

77 0.469512 1.044744 1.043508 0.006363

78 0.475610 1.047333 1.046038 0.006378

79 0.481707 1.050043 1.048688 0.006394

80 0.487805 1.052878 1.051460 0.006411

81 0.493902 1.055844 1.054361 0.006429

82 0.500000 1.058946 1.057395 0.006448

83 0.506098 1.062190 1.060568 0.006467

84 0.512195 1.065581 1.063886 0.006487

85 0.518293 1.069126 1.067354 0.006508

86 0.524390 1.072830 1.070978 0.006530

87 0.530488 1.076700 1.074765 0.006553

88 0.536585 1.080743 1.078722 0.006578

89 0.542683 1.084967 1.082855 0.006603

90 0.548780 1.089378 1.087172 0.006629

91 0.554878 1.093986 1.091682 0.006657

92 0.560976 1.098798 1.096392 0.006685

93 0.567073 1.103823 1.101310 0.006715

94 0.573171 1.109071 1.106447 0.006747

95 0.579268 1.114552 1.111811 0.006779

96 0.585366 1.120275 1.117413 0.006813

97 0.591463 1.126253 1.123264 0.006849

98 0.597561 1.132496 1.129375 0.006886

99 0.603659 1.139018 1.135757 0.006925

100 0.609756 1.145831 1.142424 0.006966

101 0.615854 1.152949 1.149390 0.007008

102 0.621951 1.160387 1.156668 0.007053

103 0.628049 1.168161 1.164274 0.007099

104 0.634146 1.176287 1.172224 0.007148

105 0.640244 1.184784 1.180536 0.007198

106 0.646341 1.193671 1.189228 0.007251

107 0.652439 1.202968 1.198319 0.007307

108 0.658537 1.212696 1.207832 0.007365

109 0.664634 1.222880 1.217788 0.007426

110 0.670732 1.233545 1.228212 0.007489

111 0.676829 1.244717 1.239131 0.007556

112 0.682927 1.256425 1.250571 0.007625

113 0.689024 1.268701 1.262563 0.007699

114 0.695122 1.281579 1.275140 0.007775

Page 410: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.701220 1.295096 1.288338 0.007856

116 0.707317 1.309290 1.302193 0.007940

117 0.713415 1.324205 1.316747 0.008029

118 0.719512 1.339887 1.332046 0.008122

119 0.725610 1.356387 1.348137 0.008220

120 0.731707 1.373761 1.365074 0.008324

121 0.737805 1.392069 1.382915 0.008432

122 0.743902 1.411377 1.401723 0.008547

123 0.750000 1.431757 1.421567 0.008668

124 0.756098 1.453290 1.442524 0.008796

125 0.762195 1.476064 1.464677 0.008931

126 0.768293 1.500176 1.488120 0.009074

127 0.774390 1.525733 1.512955 0.009225

128 0.780488 1.552856 1.539295 0.009386

129 0.786585 1.581678 1.567267 0.009557

130 0.792683 1.612348 1.597013 0.009738

131 0.798780 1.645033 1.628690 0.009931

132 0.804878 1.679921 1.662477 0.010137

133 0.810976 1.717225 1.698573 0.010357

134 0.817073 1.757184 1.737205 0.010593

135 0.823171 1.800074 1.778629 0.010845

136 0.829268 1.846205 1.823139 0.011117

137 0.835366 1.895939 1.871072 0.011409

138 0.841463 1.949688 1.922813 0.011724

139 0.847561 2.007934 1.978811 0.012066

140 0.853659 2.071237 2.039585 0.012436

141 0.859756 2.140255 2.105746 0.012840

142 0.865854 2.215766 2.178011 0.013281

143 0.871951 2.298697 2.257232 0.013764

144 0.878049 2.390159 2.344428 0.014295

145 0.884146 2.491496 2.440827 0.014883

146 0.890244 2.604352 2.547924 0.015536

147 0.896341 2.730759 2.667555 0.016266

148 0.902439 2.873254 2.802006 0.017085

149 0.908537 3.035054 2.954154 0.018013

150 0.914634 3.220292 3.127673 0.019071

151 0.920732 3.434374 3.327333 0.020289

152 0.926829 3.684509 3.559442 0.021704

153 0.932927 3.980526 3.832518 0.023369

154 0.939024 4.336185 4.158356 0.025356

155 0.945122 4.771364 4.553774 0.027767

156 0.951220 5.315877 5.043620 0.030754

157 0.957317 6.016577 5.666227 0.034550

Page 411: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.963415 6.951553 6.484065 0.039537

159 0.969512 8.261360 7.606456 0.046381

160 0.975610 10.227114 9.244237 0.056367

161 0.981707 13.504750 11.865932 0.072353

162 0.987805 20.062072 16.783411 0.102338

163 0.993902 39.738104 29.900088 0.182318

164 1.000000 #DIV/0! #DIV/0! #DIV/0!

165 1.006098 -38.978068 #DIV/0! #DIV/0!

166 1.012195 -19.302000 -29.140034 -0.177683

167 1.018293 -12.744617 -16.023308 -0.097703

168 1.024390 -9.466895 -11.105756 -0.067718

169 1.030488 -7.501032 -8.483964 -0.051731

170 1.036585 -6.191091 -6.846061 -0.041744

171 1.042683 -5.255958 -5.723524 -0.034900

172 1.048780 -4.555075 -4.905517 -0.029912

173 1.054878 -4.010356 -4.282715 -0.026114

174 1.060976 -3.574946 -3.792651 -0.023126

175 1.067073 -3.219033 -3.396990 -0.020713

176 1.073171 -2.922737 -3.070885 -0.018725

177 1.079268 -2.672300 -2.797518 -0.017058

178 1.085366 -2.457891 -2.565095 -0.015641

179 1.091463 -2.272302 -2.365096 -0.014421

180 1.097561 -2.110128 -2.191215 -0.013361

181 1.103659 -1.967234 -2.038681 -0.012431

182 1.109756 -1.840406 -1.903820 -0.011609

183 1.115854 -1.727104 -1.783755 -0.010877

184 1.121951 -1.625298 -1.676201 -0.010221

185 1.128049 -1.533345 -1.579321 -0.009630

186 1.134146 -1.449898 -1.491621 -0.009095

187 1.140244 -1.373848 -1.411873 -0.008609

188 1.146341 -1.304267 -1.339058 -0.008165

189 1.152439 -1.240380 -1.272324 -0.007758

190 1.158537 -1.181526 -1.210953 -0.007384

191 1.164634 -1.127146 -1.154336 -0.007039

192 1.170732 -1.076760 -1.101953 -0.006719

193 1.176829 -1.029952 -1.053356 -0.006423

194 1.182927 -0.986365 -1.008159 -0.006147

195 1.189024 -0.945685 -0.966025 -0.005890

196 1.195122 -0.907639 -0.926662 -0.005650

197 1.201220 -0.871987 -0.889813 -0.005426

198 1.207317 -0.838516 -0.855251 -0.005215

199 1.213415 -0.807038 -0.822777 -0.005017

200 1.219512 -0.777387 -0.792213 -0.004831

Page 412: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = ###

Page 413: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

u 0.0000

N 4.1671

RESULTADO

F(u,N) 0.0000

CALCULOSxo 0 N tramos= 200xn 0.00000 0.000000C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.000000 1.000000 1.000000 0.000000

2 0.000000 1.000000 1.000000 0.000000

3 0.000000 1.000000 1.000000 0.000000

4 0.000000 1.000000 1.000000 0.000000

5 0.000000 1.000000 1.000000 0.000000

6 0.000000 1.000000 1.000000 0.000000

7 0.000000 1.000000 1.000000 0.000000

8 0.000000 1.000000 1.000000 0.000000

9 0.000000 1.000000 1.000000 0.000000

10 0.000000 1.000000 1.000000 0.000000

11 0.000000 1.000000 1.000000 0.000000

12 0.000000 1.000000 1.000000 0.000000

13 0.000000 1.000000 1.000000 0.000000

14 0.000000 1.000000 1.000000 0.000000

15 0.000000 1.000000 1.000000 0.000000

16 0.000000 1.000000 1.000000 0.000000

17 0.000000 1.000000 1.000000 0.000000

18 0.000000 1.000000 1.000000 0.000000

19 0.000000 1.000000 1.000000 0.000000

20 0.000000 1.000000 1.000000 0.000000

21 0.000000 1.000000 1.000000 0.000000

22 0.000000 1.000000 1.000000 0.000000

23 0.000000 1.000000 1.000000 0.000000

24 0.000000 1.000000 1.000000 0.000000

25 0.000000 1.000000 1.000000 0.000000

26 0.000000 1.000000 1.000000 0.000000

27 0.000000 1.000000 1.000000 0.000000

28 0.000000 1.000000 1.000000 0.000000

29 0.000000 1.000000 1.000000 0.000000

10

Page 414: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.000000 1.000000 1.000000 0.000000

31 0.000000 1.000000 1.000000 0.000000

32 0.000000 1.000000 1.000000 0.000000

33 0.000000 1.000000 1.000000 0.000000

34 0.000000 1.000000 1.000000 0.000000

35 0.000000 1.000000 1.000000 0.000000

36 0.000000 1.000000 1.000000 0.000000

37 0.000000 1.000000 1.000000 0.000000

38 0.000000 1.000000 1.000000 0.000000

39 0.000000 1.000000 1.000000 0.000000

40 0.000000 1.000000 1.000000 0.000000

41 0.000000 1.000000 1.000000 0.000000

42 0.000000 1.000000 1.000000 0.000000

43 0.000000 1.000000 1.000000 0.000000

44 0.000000 1.000000 1.000000 0.000000

45 0.000000 1.000000 1.000000 0.000000

46 0.000000 1.000000 1.000000 0.000000

47 0.000000 1.000000 1.000000 0.000000

48 0.000000 1.000000 1.000000 0.000000

49 0.000000 1.000000 1.000000 0.000000

50 0.000000 1.000000 1.000000 0.000000

51 0.000000 1.000000 1.000000 0.000000

52 0.000000 1.000000 1.000000 0.000000

53 0.000000 1.000000 1.000000 0.000000

54 0.000000 1.000000 1.000000 0.000000

55 0.000000 1.000000 1.000000 0.000000

56 0.000000 1.000000 1.000000 0.000000

57 0.000000 1.000000 1.000000 0.000000

58 0.000000 1.000000 1.000000 0.000000

59 0.000000 1.000000 1.000000 0.000000

60 0.000000 1.000000 1.000000 0.000000

61 0.000000 1.000000 1.000000 0.000000

62 0.000000 1.000000 1.000000 0.000000

63 0.000000 1.000000 1.000000 0.000000

64 0.000000 1.000000 1.000000 0.000000

65 0.000000 1.000000 1.000000 0.000000

66 0.000000 1.000000 1.000000 0.000000

67 0.000000 1.000000 1.000000 0.000000

68 0.000000 1.000000 1.000000 0.000000

69 0.000000 1.000000 1.000000 0.000000

70 0.000000 1.000000 1.000000 0.000000

71 0.000000 1.000000 1.000000 0.000000

Page 415: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.000000 1.000000 1.000000 0.000000

73 0.000000 1.000000 1.000000 0.000000

74 0.000000 1.000000 1.000000 0.000000

75 0.000000 1.000000 1.000000 0.000000

76 0.000000 1.000000 1.000000 0.000000

77 0.000000 1.000000 1.000000 0.000000

78 0.000000 1.000000 1.000000 0.000000

79 0.000000 1.000000 1.000000 0.000000

80 0.000000 1.000000 1.000000 0.000000

81 0.000000 1.000000 1.000000 0.000000

82 0.000000 1.000000 1.000000 0.000000

83 0.000000 1.000000 1.000000 0.000000

84 0.000000 1.000000 1.000000 0.000000

85 0.000000 1.000000 1.000000 0.000000

86 0.000000 1.000000 1.000000 0.000000

87 0.000000 1.000000 1.000000 0.000000

88 0.000000 1.000000 1.000000 0.000000

89 0.000000 1.000000 1.000000 0.000000

90 0.000000 1.000000 1.000000 0.000000

91 0.000000 1.000000 1.000000 0.000000

92 0.000000 1.000000 1.000000 0.000000

93 0.000000 1.000000 1.000000 0.000000

94 0.000000 1.000000 1.000000 0.000000

95 0.000000 1.000000 1.000000 0.000000

96 0.000000 1.000000 1.000000 0.000000

97 0.000000 1.000000 1.000000 0.000000

98 0.000000 1.000000 1.000000 0.000000

99 0.000000 1.000000 1.000000 0.000000

100 0.000000 1.000000 1.000000 0.000000

101 0.000000 1.000000 1.000000 0.000000

102 0.000000 1.000000 1.000000 0.000000

103 0.000000 1.000000 1.000000 0.000000

104 0.000000 1.000000 1.000000 0.000000

105 0.000000 1.000000 1.000000 0.000000

106 0.000000 1.000000 1.000000 0.000000

107 0.000000 1.000000 1.000000 0.000000

108 0.000000 1.000000 1.000000 0.000000

109 0.000000 1.000000 1.000000 0.000000

110 0.000000 1.000000 1.000000 0.000000

111 0.000000 1.000000 1.000000 0.000000

112 0.000000 1.000000 1.000000 0.000000

113 0.000000 1.000000 1.000000 0.000000

114 0.000000 1.000000 1.000000 0.000000

Page 416: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.000000 1.000000 1.000000 0.000000

116 0.000000 1.000000 1.000000 0.000000

117 0.000000 1.000000 1.000000 0.000000

118 0.000000 1.000000 1.000000 0.000000

119 0.000000 1.000000 1.000000 0.000000

120 0.000000 1.000000 1.000000 0.000000

121 0.000000 1.000000 1.000000 0.000000

122 0.000000 1.000000 1.000000 0.000000

123 0.000000 1.000000 1.000000 0.000000

124 0.000000 1.000000 1.000000 0.000000

125 0.000000 1.000000 1.000000 0.000000

126 0.000000 1.000000 1.000000 0.000000

127 0.000000 1.000000 1.000000 0.000000

128 0.000000 1.000000 1.000000 0.000000

129 0.000000 1.000000 1.000000 0.000000

130 0.000000 1.000000 1.000000 0.000000

131 0.000000 1.000000 1.000000 0.000000

132 0.000000 1.000000 1.000000 0.000000

133 0.000000 1.000000 1.000000 0.000000

134 0.000000 1.000000 1.000000 0.000000

135 0.000000 1.000000 1.000000 0.000000

136 0.000000 1.000000 1.000000 0.000000

137 0.000000 1.000000 1.000000 0.000000

138 0.000000 1.000000 1.000000 0.000000

139 0.000000 1.000000 1.000000 0.000000

140 0.000000 1.000000 1.000000 0.000000

141 0.000000 1.000000 1.000000 0.000000

142 0.000000 1.000000 1.000000 0.000000

143 0.000000 1.000000 1.000000 0.000000

144 0.000000 1.000000 1.000000 0.000000

145 0.000000 1.000000 1.000000 0.000000

146 0.000000 1.000000 1.000000 0.000000

147 0.000000 1.000000 1.000000 0.000000

148 0.000000 1.000000 1.000000 0.000000

149 0.000000 1.000000 1.000000 0.000000

150 0.000000 1.000000 1.000000 0.000000

151 0.000000 1.000000 1.000000 0.000000

152 0.000000 1.000000 1.000000 0.000000

153 0.000000 1.000000 1.000000 0.000000

154 0.000000 1.000000 1.000000 0.000000

155 0.000000 1.000000 1.000000 0.000000

156 0.000000 1.000000 1.000000 0.000000

157 0.000000 1.000000 1.000000 0.000000

Page 417: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.000000 1.000000 1.000000 0.000000

159 0.000000 1.000000 1.000000 0.000000

160 0.000000 1.000000 1.000000 0.000000

161 0.000000 1.000000 1.000000 0.000000

162 0.000000 1.000000 1.000000 0.000000

163 0.000000 1.000000 1.000000 0.000000

164 0.000000 1.000000 1.000000 0.000000

165 0.000000 1.000000 1.000000 0.000000

166 0.000000 1.000000 1.000000 0.000000

167 0.000000 1.000000 1.000000 0.000000

168 0.000000 1.000000 1.000000 0.000000

169 0.000000 1.000000 1.000000 0.000000

170 0.000000 1.000000 1.000000 0.000000

171 0.000000 1.000000 1.000000 0.000000

172 0.000000 1.000000 1.000000 0.000000

173 0.000000 1.000000 1.000000 0.000000

174 0.000000 1.000000 1.000000 0.000000

175 0.000000 1.000000 1.000000 0.000000

176 0.000000 1.000000 1.000000 0.000000

177 0.000000 1.000000 1.000000 0.000000

178 0.000000 1.000000 1.000000 0.000000

179 0.000000 1.000000 1.000000 0.000000

180 0.000000 1.000000 1.000000 0.000000

181 0.000000 1.000000 1.000000 0.000000

182 0.000000 1.000000 1.000000 0.000000

183 0.000000 1.000000 1.000000 0.000000

184 0.000000 1.000000 1.000000 0.000000

185 0.000000 1.000000 1.000000 0.000000

186 0.000000 1.000000 1.000000 0.000000

187 0.000000 1.000000 1.000000 0.000000

188 0.000000 1.000000 1.000000 0.000000

189 0.000000 1.000000 1.000000 0.000000

190 0.000000 1.000000 1.000000 0.000000

191 0.000000 1.000000 1.000000 0.000000

192 0.000000 1.000000 1.000000 0.000000

193 0.000000 1.000000 1.000000 0.000000

194 0.000000 1.000000 1.000000 0.000000

195 0.000000 1.000000 1.000000 0.000000

196 0.000000 1.000000 1.000000 0.000000

197 0.000000 1.000000 1.000000 0.000000

198 0.000000 1.000000 1.000000 0.000000

199 0.000000 1.000000 1.000000 0.000000

200 0.000000 1.000000 1.000000 0.000000

Page 418: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 0.00000

Page 419: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.6093

N 3.4856

RESULTADO

F(u,N) 1.6163

CALCULOSxo 0 N tramos= 200

xn 1.60933 0.008047

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.008047 1.000000 1.000000 0.008047

2 0.016093 1.000001 1.000000 0.008047

3 0.024140 1.000002 1.000001 0.008047

4 0.032187 1.000006 1.000004 0.008047

5 0.040233 1.000014 1.000010 0.008047

6 0.048280 1.000026 1.000020 0.008047

7 0.056327 1.000044 1.000035 0.008047

8 0.064373 1.000070 1.000057 0.008047

9 0.072420 1.000106 1.000088 0.008047

10 0.080467 1.000153 1.000130 0.008048

11 0.088513 1.000214 1.000183 0.008048

12 0.096560 1.000289 1.000252 0.008049

13 0.104607 1.000383 1.000336 0.008049

14 0.112653 1.000495 1.000439 0.008050

15 0.120700 1.000630 1.000563 0.008051

16 0.128746 1.000789 1.000710 0.008052

17 0.136793 1.000975 1.000882 0.008054

18 0.144840 1.001190 1.001083 0.008055

19 0.152886 1.001438 1.001314 0.008057

20 0.160933 1.001720 1.001579 0.008059

21 0.168980 1.002039 1.001879 0.008062

22 0.177026 1.002399 1.002219 0.008065

23 0.185073 1.002802 1.002600 0.008068

24 0.193120 1.003251 1.003027 0.008071

0

CÁLCULO DE F(v,J)CÁLCULO DE F(v,J)

Page 420: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

25 0.201166 1.003751 1.003501 0.008075

26 0.209213 1.004302 1.004026 0.008079

27 0.217260 1.004910 1.004606 0.008084

28 0.225306 1.005577 1.005244 0.008089

29 0.233353 1.006308 1.005943 0.008094

30 0.241400 1.007105 1.006706 0.008101

31 0.249446 1.007972 1.007538 0.008107

32 0.257493 1.008913 1.008442 0.008115

33 0.265540 1.009932 1.009422 0.008122

34 0.273586 1.011033 1.010483 0.008131

35 0.281633 1.012220 1.011627 0.008140

36 0.289680 1.013498 1.012859 0.008150

37 0.297726 1.014871 1.014185 0.008161

38 0.305773 1.016343 1.015607 0.008172

39 0.313820 1.017920 1.017132 0.008185

40 0.321866 1.019606 1.018763 0.008198

41 0.329913 1.021406 1.020506 0.008212

42 0.337959 1.023325 1.022365 0.008227

43 0.346006 1.025369 1.024347 0.008243

44 0.354053 1.027544 1.026457 0.008260

45 0.362099 1.029856 1.028700 0.008278

46 0.370146 1.032309 1.031082 0.008297

47 0.378193 1.034912 1.033611 0.008317

48 0.386239 1.037671 1.036292 0.008339

49 0.394286 1.040592 1.039131 0.008362

50 0.402333 1.043683 1.042137 0.008386

51 0.410379 1.046951 1.045317 0.008411

52 0.418426 1.050404 1.048678 0.008438

53 0.426473 1.054052 1.052228 0.008467

54 0.434519 1.057901 1.055976 0.008497

55 0.442566 1.061962 1.059932 0.008529

56 0.450613 1.066245 1.064104 0.008562

57 0.458659 1.070759 1.068502 0.008598

58 0.466706 1.075515 1.073137 0.008635

59 0.474753 1.080524 1.078020 0.008674

60 0.482799 1.085800 1.083162 0.008716

61 0.490846 1.091353 1.088576 0.008759

62 0.498893 1.097198 1.094275 0.008805

63 0.506939 1.103349 1.100273 0.008854

64 0.514986 1.109821 1.106585 0.008904

65 0.523033 1.116630 1.113226 0.008958

66 0.531079 1.123794 1.120212 0.009014

Page 421: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

67 0.539126 1.131331 1.127563 0.009073

68 0.547172 1.139260 1.135296 0.009135

69 0.555219 1.147603 1.143432 0.009201

70 0.563266 1.156382 1.151993 0.009270

71 0.571312 1.165621 1.161001 0.009342

72 0.579359 1.175346 1.170483 0.009418

73 0.587406 1.185585 1.180465 0.009499

74 0.595452 1.196368 1.190976 0.009583

75 0.603499 1.207728 1.202048 0.009672

76 0.611546 1.219699 1.213713 0.009766

77 0.619592 1.232321 1.226010 0.009865

78 0.627639 1.245633 1.238977 0.009970

79 0.635686 1.259682 1.252658 0.010080

80 0.643732 1.274516 1.267099 0.010196

81 0.651779 1.290189 1.282352 0.010319

82 0.659826 1.306759 1.298474 0.010448

83 0.667872 1.324290 1.315524 0.010586

84 0.675919 1.342853 1.333572 0.010731

85 0.683966 1.362526 1.352690 0.010885

86 0.692012 1.383395 1.372960 0.011048

87 0.700059 1.405553 1.394474 0.011221

88 0.708106 1.429107 1.417330 0.011405

89 0.716152 1.454174 1.441641 0.011600

90 0.724199 1.480885 1.467529 0.011809

91 0.732246 1.509386 1.495136 0.012031

92 0.740292 1.539843 1.524615 0.012268

93 0.748339 1.572441 1.556142 0.012522

94 0.756386 1.607391 1.589916 0.012794

95 0.764432 1.644931 1.626161 0.013085

96 0.772479 1.685336 1.665133 0.013399

97 0.780525 1.728917 1.707126 0.013737

98 0.788572 1.776036 1.752476 0.014102

99 0.796619 1.827109 1.801572 0.014497

100 0.804665 1.882625 1.854867 0.014925

101 0.812712 1.943152 1.912889 0.015392

102 0.820759 2.009364 1.976258 0.015902

103 0.828805 2.082059 2.045711 0.016461

104 0.836852 2.162193 2.122126 0.017076

105 0.844899 2.250923 2.206558 0.017755

106 0.852945 2.349655 2.300289 0.018510

107 0.860992 2.460123 2.404889 0.019351

108 0.869039 2.584488 2.522305 0.020296

109 0.877085 2.725474 2.654981 0.021364

Page 422: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

110 0.885132 2.886571 2.806023 0.022579

111 0.893179 3.072320 2.979446 0.023975

112 0.901225 3.288741 3.180531 0.025593

113 0.909272 3.543989 3.416365 0.027490

114 0.917319 3.849396 3.696693 0.029746

115 0.925365 4.221179 4.035287 0.032471

116 0.933412 4.683394 4.452286 0.035826

117 0.941459 5.273324 4.978359 0.040059

118 0.949505 6.052017 5.662670 0.045566

119 0.957552 7.126812 6.589414 0.053023

120 0.965599 8.705473 7.916142 0.063698

121 0.973645 11.249506 9.977489 0.080285

122 0.981692 16.031765 13.640635 0.109761

123 0.989738 28.317579 22.174672 0.178432

124 0.997785 129.888713 79.103146 0.636516

125 1.005832 -48.839843 40.524435 0.326086

126 1.013878 -20.319045 -34.579444 -0.278249

127 1.021925 -12.734422 -16.526734 -0.132985

128 1.029972 -9.223470 -10.978946 -0.088344

129 1.038018 -7.199583 -8.211526 -0.066075

130 1.046065 -5.883468 -6.541525 -0.052637

131 1.054112 -4.959373 -5.421421 -0.043624

132 1.062158 -4.275045 -4.617209 -0.037153

133 1.070205 -3.748035 -4.011540 -0.032279

134 1.078252 -3.329806 -3.538921 -0.028476

135 1.086298 -2.989926 -3.159866 -0.025426

136 1.094345 -2.708342 -2.849134 -0.022926

137 1.102392 -2.471308 -2.589825 -0.020839

138 1.110438 -2.269082 -2.370195 -0.019072

139 1.118485 -2.094569 -2.181826 -0.017556

140 1.126532 -1.942480 -2.018524 -0.016242

141 1.134578 -1.808788 -1.875634 -0.015093

142 1.142625 -1.690379 -1.749584 -0.014078

143 1.150672 -1.584800 -1.637590 -0.013177

144 1.158718 -1.490099 -1.537450 -0.012371

145 1.166765 -1.404699 -1.447399 -0.011647

146 1.174812 -1.327313 -1.366006 -0.010992

147 1.182858 -1.256881 -1.292097 -0.010397

148 1.190905 -1.192523 -1.224702 -0.009855

149 1.198951 -1.133499 -1.163011 -0.009358

150 1.206998 -1.079186 -1.106343 -0.008902

151 1.215045 -1.029055 -1.054121 -0.008482

152 1.223091 -0.982650 -1.005852 -0.008094

Page 423: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

153 1.231138 -0.939581 -0.961115 -0.007734

154 1.239185 -0.899510 -0.919545 -0.007399

155 1.247231 -0.862144 -0.880827 -0.007088

156 1.255278 -0.827225 -0.844684 -0.006797

157 1.263325 -0.794528 -0.810876 -0.006525

158 1.271371 -0.763853 -0.779190 -0.006270

159 1.279418 -0.735026 -0.749440 -0.006030

160 1.287465 -0.707890 -0.721458 -0.005805

161 1.295511 -0.682306 -0.695098 -0.005593

162 1.303558 -0.658150 -0.670228 -0.005393

163 1.311605 -0.635310 -0.646730 -0.005204

164 1.319651 -0.613685 -0.624497 -0.005025

165 1.327698 -0.593186 -0.603436 -0.004856

166 1.335745 -0.573731 -0.583459 -0.004695

167 1.343791 -0.555245 -0.564488 -0.004542

168 1.351838 -0.537662 -0.546454 -0.004397

169 1.359885 -0.520920 -0.529291 -0.004259

170 1.367931 -0.504963 -0.512941 -0.004127

171 1.375978 -0.489740 -0.497352 -0.004002

172 1.384025 -0.475205 -0.482472 -0.003882

173 1.392071 -0.461314 -0.468259 -0.003768

174 1.400118 -0.448028 -0.454671 -0.003659

175 1.408165 -0.435310 -0.441669 -0.003554

176 1.416211 -0.423128 -0.429219 -0.003454

177 1.424258 -0.411449 -0.417288 -0.003358

178 1.432304 -0.400246 -0.405847 -0.003266

179 1.440351 -0.389491 -0.394868 -0.003177

180 1.448398 -0.379161 -0.384326 -0.003093

181 1.456444 -0.369232 -0.374196 -0.003011

182 1.464491 -0.359682 -0.364457 -0.002933

183 1.472538 -0.350493 -0.355087 -0.002857

184 1.480584 -0.341645 -0.346069 -0.002785

185 1.488631 -0.333121 -0.337383 -0.002715

186 1.496678 -0.324905 -0.329013 -0.002647

187 1.504724 -0.316982 -0.320944 -0.002583

188 1.512771 -0.309338 -0.313160 -0.002520

189 1.520818 -0.301959 -0.305649 -0.002459

190 1.528864 -0.294833 -0.298396 -0.002401

191 1.536911 -0.287948 -0.291391 -0.002345

192 1.544958 -0.281294 -0.284621 -0.002290

193 1.553004 -0.274859 -0.278076 -0.002238

194 1.561051 -0.268634 -0.271746 -0.002187

195 1.569098 -0.262610 -0.265622 -0.002137

Page 424: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

196 1.577144 -0.256777 -0.259693 -0.002090

197 1.585191 -0.251129 -0.253953 -0.002043

198 1.593238 -0.245656 -0.248393 -0.001999

199 1.601284 -0.240353 -0.243005 -0.001955

200 1.609331 -0.235211 -0.237782 -0.001913

INTEGRAL = 1.61630

Page 425: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.5707

N 3.4856

RESULTADO

F(u,N) 1.3944

CALCULOSxo 0 N tramos= 200

xn 1.57073 0.007854

C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.007854 1.000000 1.000000 0.007854

2 0.015707 1.000001 1.000000 0.007854

3 0.023561 1.000002 1.000001 0.007854

4 0.031415 1.000006 1.000004 0.007854

5 0.039268 1.000013 1.000009 0.007854

6 0.047122 1.000024 1.000018 0.007854

7 0.054976 1.000041 1.000032 0.007854

8 0.062829 1.000065 1.000053 0.007854

9 0.070683 1.000098 1.000081 0.007854

10 0.078537 1.000141 1.000119 0.007855

11 0.086390 1.000196 1.000169 0.007855

12 0.094244 1.000266 1.000231 0.007855

13 0.102098 1.000352 1.000309 0.007856

14 0.109951 1.000455 1.000403 0.007857

15 0.117805 1.000579 1.000517 0.007858

16 0.125659 1.000725 1.000652 0.007859

17 0.133512 1.000896 1.000811 0.007860

18 0.141366 1.001094 1.000995 0.007861

19 0.149220 1.001321 1.001207 0.007863

20 0.157073 1.001580 1.001450 0.007865

21 0.164927 1.001873 1.001727 0.007867

22 0.172781 1.002204 1.002039 0.007870

23 0.180634 1.002574 1.002389 0.007872

24 0.188488 1.002987 1.002780 0.007876

1

CÁLCULO DE F(v,J)CÁLCULO DE F(v,J)

Page 426: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

25 0.196342 1.003445 1.003216 0.007879

26 0.204196 1.003952 1.003699 0.007883

27 0.212049 1.004510 1.004231 0.007887

28 0.219903 1.005123 1.004816 0.007891

29 0.227757 1.005793 1.005458 0.007897

30 0.235610 1.006524 1.006159 0.007902

31 0.243464 1.007320 1.006922 0.007908

32 0.251318 1.008184 1.007752 0.007915

33 0.259171 1.009119 1.008651 0.007922

34 0.267025 1.010129 1.009624 0.007929

35 0.274879 1.011218 1.010673 0.007937

36 0.282732 1.012390 1.011804 0.007946

37 0.290586 1.013648 1.013019 0.007956

38 0.298440 1.014998 1.014323 0.007966

39 0.306293 1.016442 1.015720 0.007977

40 0.314147 1.017986 1.017214 0.007989

41 0.322001 1.019635 1.018811 0.008001

42 0.329854 1.021392 1.020513 0.008015

43 0.337708 1.023263 1.022328 0.008029

44 0.345562 1.025253 1.024258 0.008044

45 0.353415 1.027367 1.026310 0.008060

46 0.361269 1.029610 1.028489 0.008077

47 0.369123 1.031989 1.030800 0.008096

48 0.376976 1.034509 1.033249 0.008115

49 0.384830 1.037176 1.035843 0.008135

50 0.392684 1.039997 1.038586 0.008157

51 0.400537 1.042978 1.041487 0.008180

52 0.408391 1.046126 1.044552 0.008204

53 0.416245 1.049449 1.047788 0.008229

54 0.424098 1.052955 1.051202 0.008256

55 0.431952 1.056650 1.054803 0.008284

56 0.439806 1.060545 1.058598 0.008314

57 0.447659 1.064647 1.062596 0.008345

58 0.455513 1.068966 1.066806 0.008378

59 0.463367 1.073511 1.071238 0.008413

60 0.471220 1.078293 1.075902 0.008450

61 0.479074 1.083324 1.080809 0.008488

62 0.486928 1.088613 1.085968 0.008529

63 0.494781 1.094174 1.091394 0.008571

64 0.502635 1.100020 1.097097 0.008616

65 0.510489 1.106163 1.103092 0.008663

66 0.518342 1.112619 1.109391 0.008713

Page 427: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

67 0.526196 1.119404 1.116012 0.008765

68 0.534050 1.126532 1.122968 0.008819

69 0.541903 1.134023 1.130278 0.008877

70 0.549757 1.141894 1.137958 0.008937

71 0.557611 1.150166 1.146030 0.009001

72 0.565464 1.158860 1.154513 0.009067

73 0.573318 1.167998 1.163429 0.009137

74 0.581172 1.177607 1.172802 0.009211

75 0.589026 1.187711 1.182659 0.009288

76 0.596879 1.198339 1.193025 0.009370

77 0.604733 1.209523 1.203931 0.009455

78 0.612587 1.221294 1.215408 0.009545

79 0.620440 1.233690 1.227492 0.009640

80 0.628294 1.246748 1.240219 0.009740

81 0.636148 1.260512 1.253630 0.009846

82 0.644001 1.275026 1.267769 0.009957

83 0.651855 1.290341 1.282683 0.010074

84 0.659709 1.306511 1.298426 0.010197

85 0.667562 1.323596 1.315053 0.010328

86 0.675416 1.341661 1.332629 0.010466

87 0.683270 1.360779 1.351220 0.010612

88 0.691123 1.381027 1.370903 0.010767

89 0.698977 1.402495 1.391761 0.010930

90 0.706831 1.425277 1.413886 0.011104

91 0.714684 1.449483 1.437380 0.011289

92 0.722538 1.475230 1.462356 0.011485

93 0.730392 1.502653 1.488941 0.011694

94 0.738245 1.531900 1.517276 0.011916

95 0.746099 1.563140 1.547520 0.012154

96 0.753953 1.596562 1.579851 0.012408

97 0.761806 1.632380 1.614471 0.012680

98 0.769660 1.670837 1.651609 0.012971

99 0.777514 1.712211 1.691524 0.013285

100 0.785367 1.756820 1.734516 0.013622

101 0.793221 1.805031 1.780926 0.013987

102 0.801075 1.857268 1.831150 0.014381

103 0.808928 1.914027 1.885648 0.014809

104 0.816782 1.975884 1.944956 0.015275

105 0.824636 2.043525 2.009705 0.015784

106 0.832489 2.117759 2.080642 0.016341

107 0.840343 2.199557 2.158658 0.016953

108 0.848197 2.290089 2.244823 0.017630

109 0.856050 2.390784 2.340437 0.018381

Page 428: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

110 0.863904 2.503397 2.447090 0.019219

111 0.871758 2.630114 2.566755 0.020158

112 0.879611 2.773692 2.701903 0.021220

113 0.887465 2.937658 2.855675 0.022428

114 0.895319 3.126596 3.032127 0.023813

115 0.903172 3.346578 3.236587 0.025419

116 0.911026 3.605822 3.476200 0.027301

117 0.918880 3.915724 3.760773 0.029536

118 0.926733 4.292571 4.104147 0.032233

119 0.934587 4.760467 4.526519 0.035550

120 0.942441 5.356678 5.058573 0.039728

121 0.950294 6.142015 5.749346 0.045153

122 0.958148 7.222942 6.682479 0.052482

123 0.966002 8.804292 8.013617 0.062936

124 0.973856 11.337024 10.070658 0.079092

125 0.981709 16.046625 13.691825 0.107531

126 0.989563 27.847160 21.946892 0.172364

127 0.997417 111.407172 69.627166 0.546829

128 1.005270 -54.081890 28.662641 0.225107

129 1.013124 -21.507403 -37.794647 -0.296827

130 1.020978 -13.325232 -17.416318 -0.136782

131 1.028831 -9.601840 -11.463536 -0.090031

132 1.036685 -7.473548 -8.537694 -0.067052

133 1.044539 -6.096536 -6.785042 -0.053288

134 1.052392 -5.132943 -5.614740 -0.044096

135 1.060246 -4.421082 -4.777013 -0.037517

136 1.068100 -3.873855 -4.147468 -0.032573

137 1.075953 -3.440185 -3.657020 -0.028721

138 1.083807 -3.088145 -3.264165 -0.025636

139 1.091661 -2.796747 -2.942446 -0.023109

140 1.099514 -2.551631 -2.674189 -0.021002

141 1.107368 -2.342636 -2.447134 -0.019219

142 1.115222 -2.162375 -2.252506 -0.017690

143 1.123075 -2.005342 -2.083858 -0.016366

144 1.130929 -1.867356 -1.936349 -0.015207

145 1.138783 -1.745181 -1.806269 -0.014186

146 1.146636 -1.636274 -1.690728 -0.013278

147 1.154490 -1.538609 -1.587442 -0.012467

148 1.162344 -1.450553 -1.494581 -0.011738

149 1.170197 -1.370774 -1.410664 -0.011079

150 1.178051 -1.298174 -1.334474 -0.010481

151 1.185905 -1.231843 -1.265009 -0.009935

152 1.193758 -1.171015 -1.201429 -0.009436

Page 429: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

153 1.201612 -1.115048 -1.143032 -0.008977

154 1.209466 -1.063391 -1.089219 -0.008554

155 1.217319 -1.015577 -1.039484 -0.008164

156 1.225173 -0.971203 -0.993390 -0.007802

157 1.233027 -0.929918 -0.950560 -0.007465

158 1.240880 -0.891420 -0.910669 -0.007152

159 1.248734 -0.855444 -0.873432 -0.006860

160 1.256588 -0.821757 -0.838601 -0.006586

161 1.264441 -0.790154 -0.805956 -0.006330

162 1.272295 -0.760453 -0.775304 -0.006089

163 1.280149 -0.732494 -0.746474 -0.005863

164 1.288002 -0.706134 -0.719314 -0.005649

165 1.295856 -0.681243 -0.693688 -0.005448

166 1.303710 -0.657707 -0.669475 -0.005258

167 1.311563 -0.635423 -0.646565 -0.005078

168 1.319417 -0.614298 -0.624861 -0.004907

169 1.327271 -0.594247 -0.604273 -0.004746

170 1.335124 -0.575195 -0.584721 -0.004592

171 1.342978 -0.557071 -0.566133 -0.004446

172 1.350832 -0.539813 -0.548442 -0.004307

173 1.358686 -0.523364 -0.531588 -0.004175

174 1.366539 -0.507670 -0.515517 -0.004049

175 1.374393 -0.492683 -0.500176 -0.003928

176 1.382247 -0.478360 -0.485521 -0.003813

177 1.390100 -0.464659 -0.471509 -0.003703

178 1.397954 -0.451543 -0.458101 -0.003598

179 1.405808 -0.438978 -0.445261 -0.003497

180 1.413661 -0.426932 -0.432955 -0.003400

181 1.421515 -0.415375 -0.421154 -0.003308

182 1.429369 -0.404280 -0.409828 -0.003219

183 1.437222 -0.393621 -0.398951 -0.003133

184 1.445076 -0.383376 -0.388498 -0.003051

185 1.452930 -0.373521 -0.378448 -0.002972

186 1.460783 -0.364037 -0.368779 -0.002896

187 1.468637 -0.354904 -0.359470 -0.002823

188 1.476491 -0.346105 -0.350504 -0.002753

189 1.484344 -0.337623 -0.341864 -0.002685

190 1.492198 -0.329442 -0.333532 -0.002619

191 1.500052 -0.321548 -0.325495 -0.002556

192 1.507905 -0.313928 -0.317738 -0.002495

193 1.515759 -0.306568 -0.310248 -0.002437

194 1.523613 -0.299456 -0.303012 -0.002380

195 1.531466 -0.292581 -0.296019 -0.002325

Page 430: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

196 1.539320 -0.285933 -0.289257 -0.002272

197 1.547174 -0.279500 -0.282716 -0.002220

198 1.555027 -0.273274 -0.276387 -0.002171

199 1.562881 -0.267246 -0.270260 -0.002123

200 1.570735 -0.261408 -0.264327 -0.002076

INTEGRAL = 1.39437

Page 431: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.5323

N 3.4856

RESULTADO

F(u,N) 0.8017

CALCULOSxo 0 N tramos= 200xn 1.53229 0.007661C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.007661 1.000000 1.000000 0.007661

2 0.015323 1.000000 1.000000 0.007661

3 0.022984 1.000002 1.000001 0.007661

4 0.030646 1.000005 1.000004 0.007661

5 0.038307 1.000012 1.000008 0.007662

6 0.045969 1.000022 1.000017 0.007662

7 0.053630 1.000037 1.000030 0.007662

8 0.061292 1.000059 1.000048 0.007662

9 0.068953 1.000089 1.000074 0.007662

10 0.076615 1.000129 1.000109 0.007662

11 0.084276 1.000180 1.000155 0.007663

12 0.091938 1.000244 1.000212 0.007663

13 0.099599 1.000322 1.000283 0.007664

14 0.107261 1.000418 1.000370 0.007664

15 0.114922 1.000531 1.000474 0.007665

16 0.122583 1.000665 1.000598 0.007666

17 0.130245 1.000822 1.000743 0.007667

18 0.137906 1.001003 1.000912 0.007668

19 0.145568 1.001211 1.001107 0.007670

20 0.153229 1.001449 1.001330 0.007672

21 0.160891 1.001718 1.001583 0.007674

22 0.168552 1.002021 1.001870 0.007676

23 0.176214 1.002361 1.002191 0.007678

24 0.183875 1.002739 1.002550 0.007681

25 0.191537 1.003159 1.002949 0.007684

26 0.199198 1.003624 1.003391 0.007687

27 0.206860 1.004135 1.003880 0.007691

28 0.214521 1.004697 1.004416 0.007695

29 0.222182 1.005311 1.005004 0.007700

2

Page 432: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.229844 1.005981 1.005646 0.007705

31 0.237505 1.006710 1.006346 0.007710

32 0.245167 1.007502 1.007106 0.007716

33 0.252828 1.008358 1.007930 0.007722

34 0.260490 1.009283 1.008821 0.007729

35 0.268151 1.010280 1.009782 0.007736

36 0.275813 1.011353 1.010817 0.007744

37 0.283474 1.012505 1.011929 0.007753

38 0.291136 1.013740 1.013122 0.007762

39 0.298797 1.015061 1.014400 0.007772

40 0.306459 1.016474 1.015767 0.007782

41 0.314120 1.017981 1.017227 0.007793

42 0.321782 1.019587 1.018784 0.007805

43 0.329443 1.021297 1.020442 0.007818

44 0.337104 1.023115 1.022206 0.007832

45 0.344766 1.025046 1.024081 0.007846

46 0.352427 1.027094 1.026070 0.007861

47 0.360089 1.029265 1.028179 0.007877

48 0.367750 1.031564 1.030414 0.007894

49 0.375412 1.033995 1.032780 0.007913

50 0.383073 1.036566 1.035281 0.007932

51 0.390735 1.039282 1.037924 0.007952

52 0.398396 1.042149 1.040716 0.007973

53 0.406058 1.045173 1.043661 0.007996

54 0.413719 1.048361 1.046767 0.008020

55 0.421381 1.051721 1.050041 0.008045

56 0.429042 1.055258 1.053490 0.008071

57 0.436704 1.058982 1.057120 0.008099

58 0.444365 1.062900 1.060941 0.008128

59 0.452026 1.067021 1.064961 0.008159

60 0.459688 1.071353 1.069187 0.008192

61 0.467349 1.075906 1.073629 0.008226

62 0.475011 1.080690 1.078298 0.008261

63 0.482672 1.085714 1.083202 0.008299

64 0.490334 1.090991 1.088353 0.008338

65 0.497995 1.096531 1.093761 0.008380

66 0.505657 1.102347 1.099439 0.008423

67 0.513318 1.108452 1.105400 0.008469

68 0.520980 1.114860 1.111656 0.008517

69 0.528641 1.121585 1.118223 0.008567

70 0.536303 1.128643 1.125114 0.008620

71 0.543964 1.136050 1.132347 0.008675

Page 433: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.551625 1.143825 1.139938 0.008734

73 0.559287 1.151985 1.147905 0.008795

74 0.566948 1.160552 1.156268 0.008859

75 0.574610 1.169546 1.165049 0.008926

76 0.582271 1.178991 1.174268 0.008997

77 0.589933 1.188911 1.183951 0.009071

78 0.597594 1.199334 1.194123 0.009149

79 0.605256 1.210288 1.204811 0.009231

80 0.612917 1.221803 1.216045 0.009317

81 0.620579 1.233914 1.227859 0.009407

82 0.628240 1.246657 1.240285 0.009502

83 0.635902 1.260069 1.253363 0.009603

84 0.643563 1.274195 1.267132 0.009708

85 0.651225 1.289081 1.281638 0.009819

86 0.658886 1.304775 1.296928 0.009936

87 0.666547 1.321335 1.313055 0.010060

88 0.674209 1.338818 1.330076 0.010190

89 0.681870 1.357292 1.348055 0.010328

90 0.689532 1.376829 1.367061 0.010474

91 0.697193 1.397508 1.387168 0.010628

92 0.704855 1.419416 1.408462 0.010791

93 0.712516 1.442652 1.431034 0.010964

94 0.720178 1.467322 1.454987 0.011147

95 0.727839 1.493548 1.480435 0.011342

96 0.735501 1.521461 1.507505 0.011550

97 0.743162 1.551213 1.536337 0.011771

98 0.750824 1.582972 1.567092 0.012006

99 0.758485 1.616926 1.599949 0.012258

100 0.766147 1.653289 1.635107 0.012527

101 0.773808 1.692306 1.672798 0.012816

102 0.781469 1.734254 1.713280 0.013126

103 0.789131 1.779449 1.756851 0.013460

104 0.796792 1.828258 1.803854 0.013820

105 0.804454 1.881104 1.854681 0.014210

106 0.812115 1.938477 1.909790 0.014632

107 0.819777 2.000954 1.969715 0.015091

108 0.827438 2.069211 2.035083 0.015592

109 0.835100 2.144053 2.106632 0.016140

110 0.842761 2.226440 2.185247 0.016742

111 0.850423 2.317527 2.271983 0.017407

112 0.858084 2.418722 2.368124 0.018143

113 0.865746 2.531751 2.475236 0.018964

114 0.873407 2.658761 2.595256 0.019883

Page 434: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.881068 2.802451 2.730606 0.020920

116 0.888730 2.966261 2.884356 0.022098

117 0.896391 3.154652 3.060457 0.023448

118 0.904053 3.373509 3.264080 0.025008

119 0.911714 3.630758 3.502133 0.026831

120 0.919376 3.937339 3.784048 0.028991

121 0.927037 4.308788 4.123063 0.031589

122 0.934699 4.767930 4.538359 0.034770

123 0.942360 5.349729 5.058830 0.038758

124 0.950022 6.110583 5.730156 0.043901

125 0.957683 7.147739 6.629161 0.050789

126 0.965345 8.644436 7.896087 0.060496

127 0.973006 10.991942 9.818189 0.075222

128 0.980668 15.201769 13.096856 0.100341

129 0.988329 24.941456 20.071612 0.153778

130 0.995990 71.910356 48.425906 0.371013

131 1.003652 -78.204361 -3.147002 -0.024111

132 1.011313 -25.005290 -51.604825 -0.395369

133 1.018975 -14.768172 -19.886731 -0.152361

134 1.026636 -10.421249 -12.594710 -0.096494

135 1.034298 -8.017240 -9.219244 -0.070633

136 1.041959 -6.491850 -7.254545 -0.055580

137 1.049621 -5.438094 -5.964972 -0.045700

138 1.057282 -4.666724 -5.052409 -0.038709

139 1.064944 -4.077793 -4.372258 -0.033498

140 1.072605 -3.613544 -3.845669 -0.029463

141 1.080267 -3.238269 -3.425907 -0.026247

142 1.087928 -2.928707 -3.083488 -0.023624

143 1.095589 -2.669053 -2.798880 -0.021444

144 1.103251 -2.448195 -2.558624 -0.019603

145 1.110912 -2.258090 -2.353143 -0.018029

146 1.118574 -2.092774 -2.175432 -0.016667

147 1.126235 -1.947731 -2.020253 -0.015478

148 1.133897 -1.819479 -1.883605 -0.014431

149 1.141558 -1.705289 -1.762384 -0.013502

150 1.149220 -1.602994 -1.654142 -0.012673

151 1.156881 -1.510848 -1.556921 -0.011928

152 1.164543 -1.427432 -1.469140 -0.011256

153 1.172204 -1.351579 -1.389506 -0.010646

154 1.179866 -1.282322 -1.316951 -0.010090

155 1.187527 -1.218849 -1.250585 -0.009581

156 1.195189 -1.160479 -1.189664 -0.009115

157 1.202850 -1.106632 -1.133555 -0.008685

Page 435: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.210511 -1.056812 -1.081722 -0.008288

159 1.218173 -1.010595 -1.033703 -0.007920

160 1.225834 -0.967611 -0.989103 -0.007578

161 1.233496 -0.927543 -0.947577 -0.007260

162 1.241157 -0.890110 -0.908827 -0.006963

163 1.248819 -0.855069 -0.872590 -0.006685

164 1.256480 -0.822204 -0.838636 -0.006425

165 1.264142 -0.791324 -0.806764 -0.006181

166 1.271803 -0.762261 -0.776792 -0.005951

167 1.279465 -0.734864 -0.748563 -0.005735

168 1.287126 -0.709000 -0.721932 -0.005531

169 1.294788 -0.684547 -0.696774 -0.005338

170 1.302449 -0.661398 -0.672973 -0.005156

171 1.310111 -0.639456 -0.650427 -0.004983

172 1.317772 -0.618632 -0.629044 -0.004819

173 1.325433 -0.598846 -0.608739 -0.004664

174 1.333095 -0.580027 -0.589437 -0.004516

175 1.340756 -0.562108 -0.571067 -0.004375

176 1.348418 -0.545029 -0.553569 -0.004241

177 1.356079 -0.528736 -0.536883 -0.004113

178 1.363741 -0.513178 -0.520957 -0.003991

179 1.371402 -0.498309 -0.505744 -0.003875

180 1.379064 -0.484087 -0.491198 -0.003763

181 1.386725 -0.470473 -0.477280 -0.003657

182 1.394387 -0.457430 -0.463952 -0.003555

183 1.402048 -0.444926 -0.451178 -0.003457

184 1.409710 -0.432930 -0.438928 -0.003363

185 1.417371 -0.421414 -0.427172 -0.003273

186 1.425032 -0.410350 -0.415882 -0.003186

187 1.432694 -0.399715 -0.405033 -0.003103

188 1.440355 -0.389486 -0.394600 -0.003023

189 1.448017 -0.379641 -0.384563 -0.002946

190 1.455678 -0.370160 -0.374900 -0.002872

191 1.463340 -0.361026 -0.365593 -0.002801

192 1.471001 -0.352221 -0.356623 -0.002732

193 1.478663 -0.343728 -0.347974 -0.002666

194 1.486324 -0.335533 -0.339630 -0.002602

195 1.493986 -0.327621 -0.331577 -0.002540

196 1.501647 -0.319979 -0.323800 -0.002481

197 1.509309 -0.312594 -0.316286 -0.002423

198 1.516970 -0.305455 -0.309025 -0.002368

199 1.524632 -0.298551 -0.302003 -0.002314

200 1.532293 -0.291871 -0.295211 -0.002262

Page 436: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 0.80174

Page 437: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.4940

N 3.4856

RESULTADO

F(u,N) -1.1686

CALCULOSxo 0 N tramos= 200xn 1.49401 0.007470C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.007470 1.000000 1.000000 0.007470

2 0.014940 1.000000 1.000000 0.007470

3 0.022410 1.000002 1.000001 0.007470

4 0.029880 1.000005 1.000003 0.007470

5 0.037350 1.000011 1.000008 0.007470

6 0.044820 1.000020 1.000015 0.007470

7 0.052290 1.000034 1.000027 0.007470

8 0.059760 1.000054 1.000044 0.007470

9 0.067230 1.000082 1.000068 0.007471

10 0.074700 1.000118 1.000100 0.007471

11 0.082170 1.000165 1.000142 0.007471

12 0.089641 1.000223 1.000194 0.007471

13 0.097111 1.000295 1.000259 0.007472

14 0.104581 1.000382 1.000339 0.007473

15 0.112051 1.000486 1.000434 0.007473

16 0.119521 1.000609 1.000548 0.007474

17 0.126991 1.000752 1.000681 0.007475

18 0.134461 1.000918 1.000835 0.007476

19 0.141931 1.001109 1.001014 0.007478

20 0.149401 1.001326 1.001218 0.007479

21 0.156871 1.001573 1.001450 0.007481

22 0.164341 1.001850 1.001711 0.007483

23 0.171811 1.002161 1.002005 0.007485

24 0.179281 1.002507 1.002334 0.007487

25 0.186751 1.002892 1.002700 0.007490

26 0.194221 1.003317 1.003104 0.007493

27 0.201691 1.003785 1.003551 0.007497

28 0.209161 1.004299 1.004042 0.007500

29 0.216631 1.004861 1.004580 0.007504

3

Page 438: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.224101 1.005474 1.005167 0.007509

31 0.231571 1.006140 1.005807 0.007513

32 0.239041 1.006864 1.006502 0.007519

33 0.246511 1.007647 1.007255 0.007524

34 0.253981 1.008493 1.008070 0.007530

35 0.261451 1.009404 1.008948 0.007537

36 0.268922 1.010385 1.009894 0.007544

37 0.276392 1.011437 1.010911 0.007552

38 0.283862 1.012565 1.012001 0.007560

39 0.291332 1.013772 1.013169 0.007568

40 0.298802 1.015062 1.014417 0.007578

41 0.306272 1.016438 1.015750 0.007588

42 0.313742 1.017904 1.017171 0.007598

43 0.321212 1.019464 1.018684 0.007610

44 0.328682 1.021123 1.020294 0.007622

45 0.336152 1.022883 1.022003 0.007634

46 0.343622 1.024750 1.023817 0.007648

47 0.351092 1.026728 1.025739 0.007662

48 0.358562 1.028822 1.027775 0.007678

49 0.366032 1.031037 1.029929 0.007694

50 0.373502 1.033377 1.032207 0.007711

51 0.380972 1.035847 1.034612 0.007729

52 0.388442 1.038454 1.037151 0.007748

53 0.395912 1.041203 1.039828 0.007768

54 0.403382 1.044099 1.042651 0.007789

55 0.410852 1.047149 1.045624 0.007811

56 0.418322 1.050359 1.048754 0.007834

57 0.425792 1.053736 1.052047 0.007859

58 0.433262 1.057286 1.055511 0.007885

59 0.440732 1.061018 1.059152 0.007912

60 0.448203 1.064938 1.062978 0.007940

61 0.455673 1.069056 1.066997 0.007971

62 0.463143 1.073378 1.071217 0.008002

63 0.470613 1.077915 1.075646 0.008035

64 0.478083 1.082675 1.080295 0.008070

65 0.485553 1.087668 1.085171 0.008106

66 0.493023 1.092905 1.090286 0.008144

67 0.500493 1.098396 1.095651 0.008185

68 0.507963 1.104154 1.101275 0.008227

69 0.515433 1.110190 1.107172 0.008271

70 0.522903 1.116518 1.113354 0.008317

71 0.530373 1.123151 1.119834 0.008365

Page 439: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.537843 1.130104 1.126627 0.008416

73 0.545313 1.137392 1.133748 0.008469

74 0.552783 1.145033 1.141212 0.008525

75 0.560253 1.153043 1.149038 0.008583

76 0.567723 1.161441 1.157242 0.008645

77 0.575193 1.170249 1.165845 0.008709

78 0.582663 1.179486 1.174868 0.008776

79 0.590133 1.189177 1.184332 0.008847

80 0.597603 1.199347 1.194262 0.008921

81 0.605073 1.210021 1.204684 0.008999

82 0.612543 1.221228 1.215624 0.009081

83 0.620013 1.233000 1.227114 0.009167

84 0.627484 1.245369 1.239184 0.009257

85 0.634954 1.258372 1.251871 0.009352

86 0.642424 1.272048 1.265210 0.009451

87 0.649894 1.286438 1.279243 0.009556

88 0.657364 1.301590 1.294014 0.009666

89 0.664834 1.317553 1.309571 0.009783

90 0.672304 1.334381 1.325967 0.009905

91 0.679774 1.352134 1.343258 0.010034

92 0.687244 1.370879 1.361507 0.010171

93 0.694714 1.390685 1.380782 0.010314

94 0.702184 1.411633 1.401159 0.010467

95 0.709654 1.433809 1.422721 0.010628

96 0.717124 1.457310 1.445560 0.010798

97 0.724594 1.482242 1.469776 0.010979

98 0.732064 1.508723 1.495482 0.011171

99 0.739534 1.536886 1.522804 0.011375

100 0.747004 1.566877 1.551882 0.011593

101 0.754474 1.598864 1.582871 0.011824

102 0.761944 1.633032 1.615948 0.012071

103 0.769414 1.669591 1.651312 0.012335

104 0.776884 1.708781 1.689186 0.012618

105 0.784354 1.750873 1.729827 0.012922

106 0.791824 1.796177 1.773525 0.013248

107 0.799294 1.845051 1.820614 0.013600

108 0.806765 1.897906 1.871478 0.013980

109 0.814235 1.955222 1.926564 0.014392

110 0.821705 2.017556 1.986389 0.014838

111 0.829175 2.085565 2.051561 0.015325

112 0.836645 2.160026 2.122796 0.015857

113 0.844115 2.241863 2.200945 0.016441

114 0.851585 2.332188 2.287026 0.017084

Page 440: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.859055 2.432348 2.382268 0.017796

116 0.866525 2.543992 2.488170 0.018587

117 0.873995 2.669158 2.606575 0.019471

118 0.881465 2.810401 2.739779 0.020466

119 0.888935 2.970960 2.890680 0.021594

120 0.896405 3.155013 3.062986 0.022881

121 0.903875 3.368030 3.261521 0.024364

122 0.911345 3.617332 3.492681 0.026090

123 0.918815 3.912927 3.765129 0.028126

124 0.926285 4.268887 4.090907 0.030559

125 0.933755 4.705626 4.487257 0.033520

126 0.941225 5.253939 4.979783 0.037199

127 0.948695 5.962555 5.608247 0.041894

128 0.956165 6.913419 6.437987 0.048092

129 0.963635 8.255810 7.584614 0.056657

130 0.971105 10.293378 9.274594 0.069282

131 0.978575 13.753267 12.023323 0.089815

132 0.986046 20.919622 17.336445 0.129504

133 0.993516 44.601930 32.760776 0.244724

134 1.000986 -290.722298 -123.060184 -0.919265

135 1.008456 -33.574920 -162.148609 -1.211257

136 1.015926 -17.662194 -25.618557 -0.191372

137 1.023396 -11.912276 -14.787235 -0.110461

138 1.030866 -8.946442 -10.429359 -0.077908

139 1.038336 -7.137181 -8.041811 -0.060073

140 1.045806 -5.918643 -6.527912 -0.048764

141 1.053276 -5.042339 -5.480491 -0.040939

142 1.060746 -4.382008 -4.712173 -0.035200

143 1.068216 -3.866694 -4.124351 -0.030809

144 1.075686 -3.453455 -3.660075 -0.027341

145 1.083156 -3.114779 -3.284117 -0.024532

146 1.090626 -2.832224 -2.973501 -0.022212

147 1.098096 -2.592966 -2.712595 -0.020263

148 1.105566 -2.387811 -2.490388 -0.018603

149 1.113036 -2.209995 -2.298903 -0.017173

150 1.120506 -2.054431 -2.132213 -0.015928

151 1.127976 -1.917222 -1.985827 -0.014834

152 1.135446 -1.795327 -1.856274 -0.013866

153 1.142916 -1.686343 -1.740835 -0.013004

154 1.150386 -1.588345 -1.637344 -0.012231

155 1.157857 -1.499771 -1.544058 -0.011534

156 1.165327 -1.419342 -1.459556 -0.010903

157 1.172797 -1.346000 -1.382671 -0.010329

Page 441: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.180267 -1.278862 -1.312431 -0.009804

159 1.187737 -1.217187 -1.248025 -0.009323

160 1.195207 -1.160346 -1.188767 -0.008880

161 1.202677 -1.107803 -1.134075 -0.008472

162 1.210147 -1.059099 -1.083451 -0.008093

163 1.217617 -1.013836 -1.036467 -0.007742

164 1.225087 -0.971672 -0.992754 -0.007416

165 1.232557 -0.932307 -0.951989 -0.007111

166 1.240027 -0.895477 -0.913892 -0.006827

167 1.247497 -0.860954 -0.878215 -0.006560

168 1.254967 -0.828532 -0.844743 -0.006310

169 1.262437 -0.798032 -0.813282 -0.006075

170 1.269907 -0.769293 -0.783662 -0.005854

171 1.277377 -0.742172 -0.755732 -0.005645

172 1.284847 -0.716541 -0.729356 -0.005448

173 1.292317 -0.692284 -0.704412 -0.005262

174 1.299787 -0.669299 -0.680792 -0.005086

175 1.307257 -0.647492 -0.658396 -0.004918

176 1.314727 -0.626778 -0.637135 -0.004759

177 1.322197 -0.607081 -0.616930 -0.004608

178 1.329667 -0.588331 -0.597706 -0.004465

179 1.337138 -0.570464 -0.579397 -0.004328

180 1.344608 -0.553422 -0.561943 -0.004198

181 1.352078 -0.537151 -0.545287 -0.004073

182 1.359548 -0.521605 -0.529378 -0.003954

183 1.367018 -0.506737 -0.514171 -0.003841

184 1.374488 -0.492506 -0.499621 -0.003732

185 1.381958 -0.478875 -0.485691 -0.003628

186 1.389428 -0.465809 -0.472342 -0.003528

187 1.396898 -0.453274 -0.459541 -0.003433

188 1.404368 -0.441242 -0.447258 -0.003341

189 1.411838 -0.429684 -0.435463 -0.003253

190 1.419308 -0.418575 -0.424129 -0.003168

191 1.426778 -0.407890 -0.413233 -0.003087

192 1.434248 -0.397608 -0.402749 -0.003009

193 1.441718 -0.387707 -0.392657 -0.002933

194 1.449188 -0.378168 -0.382938 -0.002861

195 1.456658 -0.368973 -0.373571 -0.002791

196 1.464128 -0.360105 -0.364539 -0.002723

197 1.471598 -0.351548 -0.355826 -0.002658

198 1.479068 -0.343287 -0.347417 -0.002595

199 1.486538 -0.335308 -0.339297 -0.002535

200 1.494008 -0.327598 -0.331453 -0.002476

Page 442: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = -1.16860

Page 443: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.4559

N 3.4856

RESULTADO

F(u,N) 1.2710

CALCULOSxo 0 N tramos= 200xn 1.45588 0.007279C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.007279 1.000000 1.000000 0.007279

2 0.014559 1.000000 1.000000 0.007279

3 0.021838 1.000002 1.000001 0.007279

4 0.029118 1.000004 1.000003 0.007279

5 0.036397 1.000010 1.000007 0.007279

6 0.043677 1.000018 1.000014 0.007280

7 0.050956 1.000031 1.000025 0.007280

8 0.058235 1.000050 1.000040 0.007280

9 0.065515 1.000075 1.000062 0.007280

10 0.072794 1.000108 1.000091 0.007280

11 0.080074 1.000151 1.000129 0.007280

12 0.087353 1.000204 1.000177 0.007281

13 0.094632 1.000270 1.000237 0.007281

14 0.101912 1.000349 1.000310 0.007282

15 0.109191 1.000444 1.000397 0.007282

16 0.116471 1.000556 1.000500 0.007283

17 0.123750 1.000687 1.000622 0.007284

18 0.131030 1.000839 1.000763 0.007285

19 0.138309 1.001013 1.000926 0.007286

20 0.145588 1.001212 1.001113 0.007288

21 0.152868 1.001437 1.001325 0.007289

22 0.160147 1.001690 1.001564 0.007291

23 0.167427 1.001974 1.001832 0.007293

24 0.174706 1.002291 1.002133 0.007295

25 0.181985 1.002642 1.002466 0.007297

26 0.189265 1.003030 1.002836 0.007300

27 0.196544 1.003458 1.003244 0.007303

28 0.203824 1.003927 1.003692 0.007306

29 0.211103 1.004440 1.004183 0.007310

4

Page 444: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.218383 1.005000 1.004720 0.007314

31 0.225662 1.005608 1.005304 0.007318

32 0.232941 1.006269 1.005939 0.007323

33 0.240221 1.006984 1.006626 0.007328

34 0.247500 1.007755 1.007369 0.007333

35 0.254780 1.008587 1.008171 0.007339

36 0.262059 1.009481 1.009034 0.007345

37 0.269338 1.010441 1.009961 0.007352

38 0.276618 1.011470 1.010956 0.007359

39 0.283897 1.012571 1.012020 0.007367

40 0.291177 1.013746 1.013159 0.007375

41 0.298456 1.015001 1.014374 0.007384

42 0.305736 1.016336 1.015668 0.007393

43 0.313015 1.017758 1.017047 0.007404

44 0.320294 1.019268 1.018513 0.007414

45 0.327574 1.020870 1.020069 0.007426

46 0.334853 1.022570 1.021720 0.007438

47 0.342133 1.024369 1.023469 0.007450

48 0.349412 1.026274 1.025321 0.007464

49 0.356691 1.028287 1.027280 0.007478

50 0.363971 1.030413 1.029350 0.007493

51 0.371250 1.032658 1.031535 0.007509

52 0.378530 1.035025 1.033841 0.007526

53 0.385809 1.037519 1.036272 0.007543

54 0.393089 1.040147 1.038833 0.007562

55 0.400368 1.042912 1.041529 0.007582

56 0.407647 1.045821 1.044366 0.007602

57 0.414927 1.048879 1.047350 0.007624

58 0.422206 1.052093 1.050486 0.007647

59 0.429486 1.055469 1.053781 0.007671

60 0.436765 1.059013 1.057241 0.007696

61 0.444044 1.062732 1.060873 0.007723

62 0.451324 1.066634 1.064683 0.007750

63 0.458603 1.070727 1.068680 0.007779

64 0.465883 1.075017 1.072872 0.007810

65 0.473162 1.079514 1.077265 0.007842

66 0.480442 1.084226 1.081870 0.007875

67 0.487721 1.089162 1.086694 0.007910

68 0.495000 1.094333 1.091748 0.007947

69 0.502280 1.099749 1.097041 0.007986

70 0.509559 1.105420 1.102585 0.008026

71 0.516839 1.111358 1.108389 0.008068

Page 445: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.524118 1.117576 1.114467 0.008113

73 0.531398 1.124085 1.120831 0.008159

74 0.538677 1.130900 1.127493 0.008207

75 0.545956 1.138036 1.134468 0.008258

76 0.553236 1.145507 1.141772 0.008311

77 0.560515 1.153331 1.149419 0.008367

78 0.567795 1.161524 1.157427 0.008425

79 0.575074 1.170105 1.165814 0.008486

80 0.582353 1.179094 1.174600 0.008550

81 0.589633 1.188513 1.183804 0.008617

82 0.596912 1.198385 1.193449 0.008688

83 0.604192 1.208734 1.203559 0.008761

84 0.611471 1.219585 1.214159 0.008838

85 0.618751 1.230968 1.225277 0.008919

86 0.626030 1.242914 1.236941 0.009004

87 0.633309 1.255454 1.249184 0.009093

88 0.640589 1.268624 1.262039 0.009187

89 0.647868 1.282463 1.275544 0.009285

90 0.655148 1.297013 1.289738 0.009389

91 0.662427 1.312318 1.304665 0.009497

92 0.669706 1.328428 1.320373 0.009612

93 0.676986 1.345396 1.336912 0.009732

94 0.684265 1.363281 1.354339 0.009859

95 0.691545 1.382148 1.372715 0.009993

96 0.698824 1.402065 1.392106 0.010134

97 0.706104 1.423110 1.412587 0.010283

98 0.713383 1.445369 1.434239 0.010440

99 0.720662 1.468934 1.457151 0.010607

100 0.727942 1.493910 1.481422 0.010784

101 0.735221 1.520412 1.507161 0.010971

102 0.742501 1.548568 1.534490 0.011170

103 0.749780 1.578521 1.563545 0.011382

104 0.757059 1.610432 1.594477 0.011607

105 0.764339 1.644480 1.627456 0.011847

106 0.771618 1.680869 1.662675 0.012103

107 0.778898 1.719828 1.700348 0.012378

108 0.786177 1.761618 1.740723 0.012671

109 0.793457 1.806537 1.784077 0.012987

110 0.800736 1.854926 1.830731 0.013327

111 0.808015 1.907178 1.881052 0.013693

112 0.815295 1.963749 1.935464 0.014089

113 0.822574 2.025168 1.994458 0.014518

114 0.829854 2.092054 2.058611 0.014985

Page 446: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.837133 2.165140 2.128597 0.015495

116 0.844412 2.245293 2.205216 0.016053

117 0.851692 2.333551 2.289422 0.016666

118 0.858971 2.431168 2.382360 0.017342

119 0.866251 2.539669 2.485419 0.018092

120 0.873530 2.660931 2.600300 0.018929

121 0.880810 2.797288 2.729109 0.019866

122 0.888089 2.951684 2.874486 0.020925

123 0.895368 3.127881 3.039783 0.022128

124 0.902648 3.330765 3.229323 0.023508

125 0.909927 3.566803 3.448784 0.025105

126 0.917207 3.844737 3.705770 0.026976

127 0.924486 4.176677 4.010707 0.029196

128 0.931765 4.579904 4.378290 0.031871

129 0.939045 5.079952 4.829928 0.035159

130 0.946324 5.716207 5.398080 0.039295

131 0.953604 6.552774 6.134491 0.044656

132 0.960883 7.701475 7.127125 0.051881

133 0.968163 9.376402 8.538939 0.062159

134 0.975442 12.045490 10.710946 0.077969

135 0.982721 16.965232 14.505361 0.105591

136 0.990001 29.051038 23.008135 0.167486

137 0.997280 105.842729 67.446884 0.490974

138 1.004560 -62.564672 21.639029 0.157520

139 1.011839 -23.879392 -43.222032 -0.314631

140 1.019119 -14.654600 -19.266996 -0.140253

141 1.026398 -10.518454 -12.586527 -0.091623

142 1.033677 -8.171185 -9.344820 -0.068025

143 1.040957 -6.658952 -7.415069 -0.053977

144 1.048236 -5.603697 -6.131325 -0.044632

145 1.055516 -4.825654 -5.214676 -0.037960

146 1.062795 -4.228411 -4.527032 -0.032954

147 1.070074 -3.755619 -3.992015 -0.029060

148 1.077354 -3.372139 -3.563879 -0.025943

149 1.084633 -3.054924 -3.213532 -0.023393

150 1.091913 -2.788225 -2.921574 -0.021267

151 1.099192 -2.560917 -2.674571 -0.019469

152 1.106472 -2.364920 -2.462918 -0.017929

153 1.113751 -2.194218 -2.279569 -0.016594

154 1.121030 -2.044246 -2.119232 -0.015427

155 1.128310 -1.911474 -1.977860 -0.014398

156 1.135589 -1.793129 -1.852302 -0.013484

157 1.142869 -1.687004 -1.740067 -0.012667

Page 447: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.150148 -1.591320 -1.639162 -0.011932

159 1.157427 -1.504627 -1.547973 -0.011268

160 1.164707 -1.425731 -1.465179 -0.010666

161 1.171986 -1.353641 -1.389686 -0.010116

162 1.179266 -1.287526 -1.320584 -0.009613

163 1.186545 -1.226686 -1.257106 -0.009151

164 1.193825 -1.170525 -1.198605 -0.008725

165 1.201104 -1.118533 -1.144529 -0.008332

166 1.208383 -1.070272 -1.094402 -0.007967

167 1.215663 -1.025364 -1.047818 -0.007628

168 1.222942 -0.983479 -1.004421 -0.007312

169 1.230222 -0.944329 -0.963904 -0.007017

170 1.237501 -0.907662 -0.925995 -0.006741

171 1.244780 -0.873255 -0.890458 -0.006482

172 1.252060 -0.840912 -0.857083 -0.006239

173 1.259339 -0.810458 -0.825685 -0.006011

174 1.266619 -0.781737 -0.796097 -0.005795

175 1.273898 -0.754610 -0.768173 -0.005592

176 1.281178 -0.728953 -0.741782 -0.005400

177 1.288457 -0.704654 -0.716804 -0.005218

178 1.295736 -0.681612 -0.693133 -0.005046

179 1.303016 -0.659735 -0.670674 -0.004882

180 1.310295 -0.638941 -0.649338 -0.004727

181 1.317575 -0.619155 -0.629048 -0.004579

182 1.324854 -0.600308 -0.609731 -0.004438

183 1.332133 -0.582338 -0.591323 -0.004304

184 1.339413 -0.565188 -0.573763 -0.004177

185 1.346692 -0.548805 -0.556997 -0.004055

186 1.353972 -0.533143 -0.540974 -0.003938

187 1.361251 -0.518156 -0.525649 -0.003826

188 1.368531 -0.503804 -0.510980 -0.003720

189 1.375810 -0.490051 -0.496928 -0.003617

190 1.383089 -0.476860 -0.483455 -0.003519

191 1.390369 -0.464201 -0.470531 -0.003425

192 1.397648 -0.452043 -0.458122 -0.003335

193 1.404928 -0.440360 -0.446201 -0.003248

194 1.412207 -0.429125 -0.434742 -0.003165

195 1.419486 -0.418315 -0.423720 -0.003084

196 1.426766 -0.407907 -0.413111 -0.003007

197 1.434045 -0.397882 -0.402895 -0.002933

198 1.441325 -0.388219 -0.393051 -0.002861

199 1.448604 -0.378901 -0.383560 -0.002792

200 1.455884 -0.369911 -0.374406 -0.002725

Page 448: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.27097

Page 449: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.4179

N 3.4856

RESULTADO

F(u,N) 6.4249

CALCULOSxo 0 N tramos= 200xn 1.41792 0.007090C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.007090 1.000000 1.000000 0.007090

2 0.014179 1.000000 1.000000 0.007090

3 0.021269 1.000001 1.000001 0.007090

4 0.028358 1.000004 1.000003 0.007090

5 0.035448 1.000009 1.000006 0.007090

6 0.042538 1.000017 1.000013 0.007090

7 0.049627 1.000028 1.000023 0.007090

8 0.056717 1.000045 1.000037 0.007090

9 0.063806 1.000068 1.000057 0.007090

10 0.070896 1.000099 1.000083 0.007090

11 0.077986 1.000137 1.000118 0.007090

12 0.085075 1.000186 1.000162 0.007091

13 0.092165 1.000246 1.000216 0.007091

14 0.099254 1.000319 1.000282 0.007092

15 0.106344 1.000405 1.000362 0.007092

16 0.113434 1.000507 1.000456 0.007093

17 0.120523 1.000627 1.000567 0.007094

18 0.127613 1.000765 1.000696 0.007095

19 0.134703 1.000924 1.000845 0.007096

20 0.141792 1.001105 1.001015 0.007097

21 0.148882 1.001310 1.001208 0.007098

22 0.155971 1.001541 1.001426 0.007100

23 0.163061 1.001800 1.001671 0.007101

24 0.170151 1.002089 1.001945 0.007103

25 0.177240 1.002409 1.002249 0.007106

26 0.184330 1.002763 1.002586 0.007108

27 0.191419 1.003152 1.002958 0.007111

28 0.198509 1.003580 1.003366 0.007113

29 0.205599 1.004048 1.003814 0.007117

5

Page 450: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.212688 1.004558 1.004303 0.007120

31 0.219778 1.005112 1.004835 0.007124

32 0.226867 1.005714 1.005413 0.007128

33 0.233957 1.006365 1.006040 0.007132

34 0.241047 1.007068 1.006717 0.007137

35 0.248136 1.007826 1.007447 0.007142

36 0.255226 1.008640 1.008233 0.007148

37 0.262315 1.009514 1.009077 0.007154

38 0.269405 1.010450 1.009982 0.007160

39 0.276495 1.011452 1.010951 0.007167

40 0.283584 1.012522 1.011987 0.007175

41 0.290674 1.013663 1.013092 0.007182

42 0.297763 1.014878 1.014270 0.007191

43 0.304853 1.016170 1.015524 0.007200

44 0.311943 1.017543 1.016856 0.007209

45 0.319032 1.018999 1.018271 0.007219

46 0.326122 1.020543 1.019771 0.007230

47 0.333212 1.022178 1.021360 0.007241

48 0.340301 1.023907 1.023042 0.007253

49 0.347391 1.025734 1.024820 0.007266

50 0.354480 1.027663 1.026699 0.007279

51 0.361570 1.029699 1.028681 0.007293

52 0.368660 1.031845 1.030772 0.007308

53 0.375749 1.034106 1.032975 0.007323

54 0.382839 1.036486 1.035296 0.007340

55 0.389928 1.038989 1.037737 0.007357

56 0.397018 1.041622 1.040306 0.007375

57 0.404108 1.044388 1.043005 0.007394

58 0.411197 1.047293 1.045841 0.007415

59 0.418287 1.050343 1.048818 0.007436

60 0.425376 1.053543 1.051943 0.007458

61 0.432466 1.056899 1.055221 0.007481

62 0.439556 1.060418 1.058658 0.007505

63 0.446645 1.064105 1.062261 0.007531

64 0.453735 1.067968 1.066037 0.007558

65 0.460824 1.072014 1.069991 0.007586

66 0.467914 1.076250 1.074132 0.007615

67 0.475004 1.080685 1.078468 0.007646

68 0.482093 1.085326 1.083005 0.007678

69 0.489183 1.090182 1.087754 0.007712

70 0.496272 1.095262 1.092722 0.007747

71 0.503362 1.100576 1.097919 0.007784

Page 451: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.510452 1.106134 1.103355 0.007822

73 0.517541 1.111946 1.109040 0.007863

74 0.524631 1.118025 1.114985 0.007905

75 0.531721 1.124381 1.121203 0.007949

76 0.538810 1.131028 1.127705 0.007995

77 0.545900 1.137979 1.134504 0.008043

78 0.552989 1.145249 1.141614 0.008094

79 0.560079 1.152851 1.149050 0.008146

80 0.567169 1.160804 1.156828 0.008201

81 0.574258 1.169123 1.164964 0.008259

82 0.581348 1.177827 1.173475 0.008319

83 0.588437 1.186936 1.182382 0.008383

84 0.595527 1.196470 1.191703 0.008449

85 0.602617 1.206453 1.201462 0.008518

86 0.609706 1.216906 1.211680 0.008590

87 0.616796 1.227858 1.222382 0.008666

88 0.623885 1.239334 1.233596 0.008746

89 0.630975 1.251365 1.245350 0.008829

90 0.638065 1.263983 1.257674 0.008916

91 0.645154 1.277223 1.270603 0.009008

92 0.652244 1.291121 1.284172 0.009104

93 0.659333 1.305718 1.298420 0.009205

94 0.666423 1.321058 1.313388 0.009311

95 0.673513 1.337190 1.329124 0.009423

96 0.680602 1.354163 1.345676 0.009540

97 0.687692 1.372036 1.363099 0.009664

98 0.694781 1.390869 1.381453 0.009794

99 0.701871 1.410732 1.400801 0.009931

100 0.708961 1.431697 1.421214 0.010076

101 0.716050 1.453846 1.442772 0.010229

102 0.723140 1.477271 1.465559 0.010390

103 0.730229 1.502069 1.489670 0.010561

104 0.737319 1.528351 1.515210 0.010742

105 0.744409 1.556239 1.542295 0.010934

106 0.751498 1.585871 1.571055 0.011138

107 0.758588 1.617397 1.601634 0.011355

108 0.765678 1.650990 1.634194 0.011586

109 0.772767 1.686840 1.668915 0.011832

110 0.779857 1.725165 1.706003 0.012095

111 0.786946 1.766211 1.745688 0.012376

112 0.794036 1.810256 1.788234 0.012678

113 0.801126 1.857621 1.833939 0.013002

114 0.808215 1.908671 1.883146 0.013351

Page 452: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.815305 1.963830 1.936250 0.013727

116 0.822394 2.023587 1.993708 0.014135

117 0.829484 2.088515 2.056051 0.014577

118 0.836574 2.159284 2.123899 0.015058

119 0.843663 2.236688 2.197986 0.015583

120 0.850753 2.321669 2.279178 0.016158

121 0.857842 2.415359 2.368514 0.016792

122 0.864932 2.519127 2.467243 0.017492

123 0.872022 2.634647 2.576887 0.018269

124 0.879111 2.763981 2.699314 0.019137

125 0.886201 2.909711 2.836846 0.020112

126 0.893290 3.075101 2.992406 0.021215

127 0.900380 3.264345 3.169723 0.022472

128 0.907470 3.482924 3.373634 0.023918

129 0.914559 3.738134 3.610529 0.025597

130 0.921649 4.039918 3.889026 0.027572

131 0.928738 4.402170 4.221044 0.029926

132 0.935828 4.844928 4.623549 0.032779

133 0.942918 5.398183 5.121556 0.036310

134 0.950007 6.108938 5.753561 0.040790

135 0.957097 7.055266 6.582102 0.046665

136 0.964187 8.377059 7.716163 0.054705

137 0.971276 10.352324 9.364692 0.066392

138 0.978366 13.623481 11.987903 0.084990

139 0.985455 20.085504 16.854493 0.119492

140 0.992545 38.841699 29.463602 0.208885

141 0.999635 785.390957 412.116328 2.921743

142 1.006724 -42.311466 371.539745 2.634071

143 1.013814 -20.415835 -31.363650 -0.222356

144 1.020903 -13.373748 -16.894792 -0.119777

145 1.027993 -9.899600 -11.636674 -0.082499

146 1.035083 -7.830320 -8.864960 -0.062849

147 1.042172 -6.457379 -7.143850 -0.050647

148 1.049262 -5.480128 -5.968754 -0.042316

149 1.056351 -4.749215 -5.114672 -0.036261

150 1.063441 -4.182050 -4.465633 -0.031660

151 1.070531 -3.729251 -3.955651 -0.028044

152 1.077620 -3.359477 -3.544364 -0.025128

153 1.084710 -3.051879 -3.205678 -0.022727

154 1.091799 -2.792048 -2.921963 -0.020716

155 1.098889 -2.569708 -2.680878 -0.019006

156 1.105979 -2.377333 -2.473521 -0.017536

157 1.113068 -2.209284 -2.293309 -0.016259

Page 453: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.120158 -2.061253 -2.135268 -0.015138

159 1.127247 -1.929892 -1.995572 -0.014148

160 1.134337 -1.812560 -1.871226 -0.013266

161 1.141427 -1.707145 -1.759852 -0.012477

162 1.148516 -1.611939 -1.659542 -0.011766

163 1.155606 -1.525546 -1.568743 -0.011122

164 1.162695 -1.446811 -1.486179 -0.010536

165 1.169785 -1.374774 -1.410793 -0.010002

166 1.176875 -1.308629 -1.341702 -0.009512

167 1.183964 -1.247692 -1.278160 -0.009062

168 1.191054 -1.191383 -1.219537 -0.008646

169 1.198144 -1.139203 -1.165293 -0.008261

170 1.205233 -1.090725 -1.114964 -0.007905

171 1.212323 -1.045575 -1.068150 -0.007573

172 1.219412 -1.003431 -1.024503 -0.007263

173 1.226502 -0.964009 -0.983720 -0.006974

174 1.233592 -0.927060 -0.945534 -0.006703

175 1.240681 -0.892365 -0.909712 -0.006450

176 1.247771 -0.859729 -0.876047 -0.006211

177 1.254860 -0.828981 -0.844355 -0.005986

178 1.261950 -0.799965 -0.814473 -0.005774

179 1.269040 -0.772545 -0.786255 -0.005574

180 1.276129 -0.746596 -0.759570 -0.005385

181 1.283219 -0.722007 -0.734301 -0.005206

182 1.290308 -0.698678 -0.710343 -0.005036

183 1.297398 -0.676519 -0.687598 -0.004875

184 1.304488 -0.655446 -0.665982 -0.004722

185 1.311577 -0.635385 -0.645416 -0.004576

186 1.318667 -0.616269 -0.625827 -0.004437

187 1.325756 -0.598034 -0.607151 -0.004304

188 1.332846 -0.580624 -0.589329 -0.004178

189 1.339936 -0.563986 -0.572305 -0.004057

190 1.347025 -0.548074 -0.556030 -0.003942

191 1.354115 -0.532842 -0.540458 -0.003832

192 1.361204 -0.518250 -0.525546 -0.003726

193 1.368294 -0.504261 -0.511256 -0.003625

194 1.375384 -0.490840 -0.497551 -0.003527

195 1.382473 -0.477956 -0.484398 -0.003434

196 1.389563 -0.465577 -0.471766 -0.003345

197 1.396653 -0.453678 -0.459627 -0.003259

198 1.403742 -0.442231 -0.447954 -0.003176

199 1.410832 -0.431214 -0.436723 -0.003096

200 1.417921 -0.420604 -0.425909 -0.003020

Page 454: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 6.42488

Page 455: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.3801

N 3.4856

RESULTADO

F(u,N) -2.3474

CALCULOSxo 0 N tramos= 200xn 1.38012 0.006901C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006901 1.000000 1.000000 0.006901

2 0.013801 1.000000 1.000000 0.006901

3 0.020702 1.000001 1.000001 0.006901

4 0.027602 1.000004 1.000003 0.006901

5 0.034503 1.000008 1.000006 0.006901

6 0.041404 1.000015 1.000012 0.006901

7 0.048304 1.000026 1.000020 0.006901

8 0.055205 1.000041 1.000034 0.006901

9 0.062106 1.000062 1.000052 0.006901

10 0.069006 1.000090 1.000076 0.006901

11 0.075907 1.000125 1.000107 0.006901

12 0.082807 1.000169 1.000147 0.006902

13 0.089708 1.000224 1.000197 0.006902

14 0.096609 1.000290 1.000257 0.006902

15 0.103509 1.000369 1.000329 0.006903

16 0.110410 1.000462 1.000415 0.006903

17 0.117311 1.000571 1.000516 0.006904

18 0.124211 1.000696 1.000634 0.006905

19 0.131112 1.000841 1.000769 0.006906

20 0.138012 1.001006 1.000923 0.006907

21 0.144913 1.001193 1.001099 0.006908

22 0.151814 1.001403 1.001298 0.006910

23 0.158714 1.001638 1.001520 0.006911

24 0.165615 1.001901 1.001769 0.006913

25 0.172516 1.002192 1.002046 0.006915

26 0.179416 1.002514 1.002353 0.006917

27 0.186317 1.002868 1.002691 0.006919

28 0.193217 1.003257 1.003063 0.006922

29 0.200118 1.003683 1.003470 0.006925

6

Page 456: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.207019 1.004146 1.003915 0.006928

31 0.213919 1.004651 1.004399 0.006931

32 0.220820 1.005198 1.004924 0.006935

33 0.227721 1.005790 1.005494 0.006939

34 0.234621 1.006429 1.006109 0.006943

35 0.241522 1.007117 1.006773 0.006947

36 0.248422 1.007857 1.007487 0.006952

37 0.255323 1.008651 1.008254 0.006958

38 0.262224 1.009502 1.009077 0.006963

39 0.269124 1.010412 1.009957 0.006969

40 0.276025 1.011384 1.010898 0.006976

41 0.282926 1.012420 1.011902 0.006983

42 0.289826 1.013523 1.012971 0.006990

43 0.296727 1.014695 1.014109 0.006998

44 0.303627 1.015941 1.015318 0.007006

45 0.310528 1.017262 1.016602 0.007015

46 0.317429 1.018662 1.017962 0.007025

47 0.324329 1.020144 1.019403 0.007035

48 0.331230 1.021711 1.020928 0.007045

49 0.338131 1.023367 1.022539 0.007056

50 0.345031 1.025115 1.024241 0.007068

51 0.351932 1.026958 1.026036 0.007080

52 0.358832 1.028900 1.027929 0.007093

53 0.365733 1.030946 1.029923 0.007107

54 0.372634 1.033098 1.032022 0.007122

55 0.379534 1.035361 1.034230 0.007137

56 0.386435 1.037740 1.036551 0.007153

57 0.393336 1.040238 1.038989 0.007170

58 0.400236 1.042861 1.041549 0.007187

59 0.407137 1.045612 1.044236 0.007206

60 0.414037 1.048497 1.047055 0.007225

61 0.420938 1.051522 1.050010 0.007246

62 0.427839 1.054691 1.053106 0.007267

63 0.434739 1.058009 1.056350 0.007289

64 0.441640 1.061484 1.059747 0.007313

65 0.448540 1.065120 1.063302 0.007337

66 0.455441 1.068925 1.067023 0.007363

67 0.462342 1.072905 1.070915 0.007390

68 0.469242 1.077066 1.074985 0.007418

69 0.476143 1.081417 1.079241 0.007447

70 0.483044 1.085964 1.083690 0.007478

71 0.489944 1.090716 1.088340 0.007510

Page 457: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.496845 1.095682 1.093199 0.007544

73 0.503745 1.100870 1.098276 0.007579

74 0.510646 1.106290 1.103580 0.007615

75 0.517547 1.111951 1.109120 0.007654

76 0.524447 1.117864 1.114907 0.007694

77 0.531348 1.124040 1.120952 0.007735

78 0.538249 1.130491 1.127265 0.007779

79 0.545149 1.137229 1.133860 0.007824

80 0.552050 1.144266 1.140748 0.007872

81 0.558950 1.151618 1.147942 0.007922

82 0.565851 1.159299 1.155459 0.007973

83 0.572752 1.167324 1.163311 0.008028

84 0.579652 1.175710 1.171517 0.008084

85 0.586553 1.184474 1.180092 0.008143

86 0.593454 1.193637 1.189056 0.008205

87 0.600354 1.203217 1.198427 0.008270

88 0.607255 1.213237 1.208227 0.008338

89 0.614155 1.223719 1.218478 0.008408

90 0.621056 1.234689 1.229204 0.008482

91 0.627957 1.246173 1.240431 0.008560

92 0.634857 1.258200 1.252187 0.008641

93 0.641758 1.270801 1.264500 0.008726

94 0.648659 1.284008 1.277404 0.008815

95 0.655559 1.297858 1.290933 0.008908

96 0.662460 1.312389 1.305123 0.009006

97 0.669360 1.327643 1.320016 0.009109

98 0.676261 1.343667 1.335655 0.009217

99 0.683162 1.360509 1.352088 0.009330

100 0.690062 1.378223 1.369366 0.009449

101 0.696963 1.396868 1.387546 0.009575

102 0.703864 1.416509 1.406689 0.009707

103 0.710764 1.437216 1.426862 0.009846

104 0.717665 1.459065 1.448141 0.009993

105 0.724565 1.482143 1.470604 0.010148

106 0.731466 1.506543 1.494343 0.010312

107 0.738367 1.532367 1.519455 0.010485

108 0.745267 1.559732 1.546050 0.010669

109 0.752168 1.588765 1.574249 0.010863

110 0.759069 1.619607 1.604186 0.011070

111 0.765969 1.652419 1.636013 0.011290

112 0.772870 1.687377 1.669898 0.011523

113 0.779770 1.724683 1.706030 0.011773

114 0.786671 1.764563 1.744623 0.012039

Page 458: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.793572 1.807274 1.785919 0.012324

116 0.800472 1.853108 1.830191 0.012629

117 0.807373 1.902400 1.877754 0.012958

118 0.814274 1.955533 1.928967 0.013311

119 0.821174 2.012951 1.984242 0.013693

120 0.828075 2.075167 2.044059 0.014105

121 0.834975 2.142782 2.108974 0.014553

122 0.841876 2.216501 2.179641 0.015041

123 0.848777 2.297158 2.256829 0.015574

124 0.855677 2.385746 2.341452 0.016157

125 0.862578 2.483457 2.434601 0.016800

126 0.869479 2.591737 2.537597 0.017511

127 0.876379 2.712353 2.652045 0.018301

128 0.883280 2.847490 2.779921 0.019183

129 0.890180 2.999884 2.923687 0.020175

130 0.897081 3.173002 3.086443 0.021298

131 0.903982 3.371311 3.272157 0.022580

132 0.910882 3.600658 3.485984 0.024055

133 0.917783 3.868856 3.734757 0.025772

134 0.924683 4.186579 4.027717 0.027794

135 0.931584 4.568809 4.377694 0.030209

136 0.938485 5.037251 4.803030 0.033144

137 0.945385 5.624578 5.330915 0.036787

138 0.952286 6.382366 6.003472 0.041428

139 0.959187 7.397070 6.889718 0.047543

140 0.966087 8.825517 8.111294 0.055973

141 0.972988 10.984785 9.905151 0.068352

142 0.979888 14.627135 12.805960 0.088369

143 0.986789 22.076576 18.351855 0.126639

144 0.993690 45.822837 33.949706 0.234274

145 1.000590 -485.620837 -219.899000 -1.517440

146 1.007491 -37.944124 -261.782481 -1.806462

147 1.014392 -19.582108 -28.763116 -0.198483

148 1.021292 -13.123201 -16.352655 -0.112844

149 1.028193 -9.826996 -11.475099 -0.079185

150 1.035093 -7.827787 -8.827392 -0.060915

151 1.041994 -6.486186 -7.156987 -0.049388

152 1.048895 -5.523759 -6.004972 -0.041438

153 1.055795 -4.799815 -5.161787 -0.035620

154 1.062696 -4.235604 -4.517710 -0.031175

155 1.069597 -3.783610 -4.009607 -0.027669

156 1.076497 -3.413461 -3.598536 -0.024832

157 1.083398 -3.104838 -3.259150 -0.022490

Page 459: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.090298 -2.843632 -2.974235 -0.020524

159 1.097199 -2.619742 -2.731687 -0.018850

160 1.104100 -2.425745 -2.522743 -0.017409

161 1.111000 -2.256063 -2.340904 -0.016154

162 1.117901 -2.106425 -2.181244 -0.015052

163 1.124802 -1.973505 -2.039965 -0.014077

164 1.131702 -1.854672 -1.914089 -0.013208

165 1.138603 -1.747822 -1.801247 -0.012430

166 1.145503 -1.651247 -1.699535 -0.011728

167 1.152404 -1.563551 -1.607399 -0.011092

168 1.159305 -1.483578 -1.523564 -0.010514

169 1.166205 -1.410365 -1.446971 -0.009985

170 1.173106 -1.343102 -1.376733 -0.009500

171 1.180007 -1.281104 -1.312103 -0.009054

172 1.186907 -1.223787 -1.252445 -0.008643

173 1.193808 -1.170649 -1.197218 -0.008262

174 1.200708 -1.121258 -1.145953 -0.007908

175 1.207609 -1.075240 -1.098249 -0.007579

176 1.214510 -1.032268 -1.053754 -0.007272

177 1.221410 -0.992057 -1.012163 -0.006985

178 1.228311 -0.954355 -0.973206 -0.006716

179 1.235212 -0.918941 -0.936648 -0.006463

180 1.242112 -0.885618 -0.902279 -0.006226

181 1.249013 -0.854211 -0.869914 -0.006003

182 1.255913 -0.824565 -0.839388 -0.005792

183 1.262814 -0.796541 -0.810553 -0.005593

184 1.269715 -0.770012 -0.783277 -0.005405

185 1.276615 -0.744868 -0.757440 -0.005227

186 1.283516 -0.721005 -0.732936 -0.005058

187 1.290417 -0.698332 -0.709668 -0.004897

188 1.297317 -0.676765 -0.687548 -0.004745

189 1.304218 -0.656229 -0.666497 -0.004599

190 1.311118 -0.636654 -0.646442 -0.004461

191 1.318019 -0.617978 -0.627316 -0.004329

192 1.324920 -0.600142 -0.609060 -0.004203

193 1.331820 -0.583094 -0.591618 -0.004083

194 1.338721 -0.566784 -0.574939 -0.003967

195 1.345621 -0.551169 -0.558977 -0.003857

196 1.352522 -0.536207 -0.543688 -0.003752

197 1.359423 -0.521859 -0.529033 -0.003651

198 1.366323 -0.508091 -0.514975 -0.003554

199 1.373224 -0.494870 -0.501481 -0.003461

200 1.380125 -0.482167 -0.488518 -0.003371

Page 460: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = -2.34736

Page 461: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.3425

N 3.4856

RESULTADO

F(u,N) -11.0811

CALCULOSxo 0 N tramos= 200xn 1.34250 0.006712C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006712 1.000000 1.000000 0.006712

2 0.013425 1.000000 1.000000 0.006712

3 0.020137 1.000001 1.000001 0.006712

4 0.026850 1.000003 1.000002 0.006712

5 0.033562 1.000007 1.000005 0.006713

6 0.040275 1.000014 1.000011 0.006713

7 0.046987 1.000023 1.000019 0.006713

8 0.053700 1.000037 1.000030 0.006713

9 0.060412 1.000056 1.000047 0.006713

10 0.067125 1.000081 1.000069 0.006713

11 0.073837 1.000114 1.000098 0.006713

12 0.080550 1.000154 1.000134 0.006713

13 0.087262 1.000203 1.000179 0.006714

14 0.093975 1.000263 1.000233 0.006714

15 0.100687 1.000335 1.000299 0.006714

16 0.107400 1.000419 1.000377 0.006715

17 0.114112 1.000518 1.000469 0.006716

18 0.120825 1.000632 1.000575 0.006716

19 0.127537 1.000764 1.000698 0.006717

20 0.134250 1.000913 1.000839 0.006718

21 0.140962 1.001083 1.000998 0.006719

22 0.147675 1.001274 1.001178 0.006720

23 0.154387 1.001488 1.001381 0.006722

24 0.161100 1.001726 1.001607 0.006723

25 0.167812 1.001990 1.001858 0.006725

26 0.174525 1.002282 1.002136 0.006727

27 0.181237 1.002604 1.002443 0.006729

28 0.187950 1.002957 1.002781 0.006731

29 0.194662 1.003343 1.003150 0.006734

7

Page 462: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.201374 1.003764 1.003554 0.006736

31 0.208087 1.004222 1.003993 0.006739

32 0.214799 1.004718 1.004470 0.006742

33 0.221512 1.005255 1.004987 0.006746

34 0.228224 1.005835 1.005545 0.006750

35 0.234937 1.006459 1.006147 0.006754

36 0.241649 1.007130 1.006795 0.006758

37 0.248362 1.007851 1.007490 0.006763

38 0.255074 1.008622 1.008236 0.006768

39 0.261787 1.009447 1.009034 0.006773

40 0.268499 1.010327 1.009887 0.006779

41 0.275212 1.011266 1.010797 0.006785

42 0.281924 1.012265 1.011766 0.006791

43 0.288637 1.013327 1.012796 0.006798

44 0.295349 1.014455 1.013891 0.006806

45 0.302062 1.015652 1.015054 0.006814

46 0.308774 1.016919 1.016285 0.006822

47 0.315487 1.018260 1.017590 0.006831

48 0.322199 1.019678 1.018969 0.006840

49 0.328912 1.021175 1.020427 0.006850

50 0.335624 1.022755 1.021965 0.006860

51 0.342337 1.024421 1.023588 0.006871

52 0.349049 1.026176 1.025299 0.006882

53 0.355762 1.028023 1.027100 0.006894

54 0.362474 1.029967 1.028995 0.006907

55 0.369187 1.032009 1.030988 0.006920

56 0.375899 1.034155 1.033082 0.006935

57 0.382611 1.036407 1.035281 0.006949

58 0.389324 1.038771 1.037589 0.006965

59 0.396036 1.041249 1.040010 0.006981

60 0.402749 1.043847 1.042548 0.006998

61 0.409461 1.046569 1.045208 0.007016

62 0.416174 1.049419 1.047994 0.007035

63 0.422886 1.052402 1.050910 0.007054

64 0.429599 1.055523 1.053962 0.007075

65 0.436311 1.058787 1.057155 0.007096

66 0.443024 1.062200 1.060494 0.007119

67 0.449736 1.065767 1.063984 0.007142

68 0.456449 1.069495 1.067631 0.007166

69 0.463161 1.073389 1.071442 0.007192

70 0.469874 1.077456 1.075423 0.007219

71 0.476586 1.081703 1.079579 0.007247

Page 463: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.483299 1.086136 1.083919 0.007276

73 0.490011 1.090763 1.088450 0.007306

74 0.496724 1.095593 1.093178 0.007338

75 0.503436 1.100633 1.098113 0.007371

76 0.510149 1.105891 1.103262 0.007406

77 0.516861 1.111377 1.108634 0.007442

78 0.523574 1.117101 1.114239 0.007479

79 0.530286 1.123072 1.120086 0.007519

80 0.536999 1.129301 1.126187 0.007560

81 0.543711 1.135800 1.132551 0.007602

82 0.550424 1.142580 1.139190 0.007647

83 0.557136 1.149654 1.146117 0.007693

84 0.563849 1.157035 1.153345 0.007742

85 0.570561 1.164738 1.160887 0.007792

86 0.577273 1.172777 1.168757 0.007845

87 0.583986 1.181169 1.176973 0.007900

88 0.590698 1.189930 1.185549 0.007958

89 0.597411 1.199078 1.194504 0.008018

90 0.604123 1.208634 1.203856 0.008081

91 0.610836 1.218617 1.213626 0.008146

92 0.617548 1.229051 1.223834 0.008215

93 0.624261 1.239957 1.234504 0.008287

94 0.630973 1.251362 1.245660 0.008361

95 0.637686 1.263294 1.257328 0.008440

96 0.644398 1.275780 1.269537 0.008522

97 0.651111 1.288854 1.282317 0.008608

98 0.657823 1.302548 1.295701 0.008697

99 0.664536 1.316900 1.309724 0.008791

100 0.671248 1.331948 1.324424 0.008890

101 0.677961 1.347737 1.339843 0.008994

102 0.684673 1.364312 1.356024 0.009102

103 0.691386 1.381724 1.373018 0.009216

104 0.698098 1.400029 1.390877 0.009336

105 0.704811 1.419286 1.409658 0.009462

106 0.711523 1.439561 1.429424 0.009595

107 0.718236 1.460926 1.450244 0.009735

108 0.724948 1.483461 1.472193 0.009882

109 0.731661 1.507250 1.495355 0.010038

110 0.738373 1.532392 1.519821 0.010202

111 0.745086 1.558991 1.545691 0.010375

112 0.751798 1.587164 1.573077 0.010559

113 0.758510 1.617042 1.602103 0.010754

114 0.765223 1.648770 1.632906 0.010961

Page 464: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.771935 1.682511 1.665641 0.011181

116 0.778648 1.718446 1.700478 0.011414

117 0.785360 1.756779 1.737612 0.011664

118 0.792073 1.797743 1.777261 0.011930

119 0.798785 1.841598 1.819670 0.012215

120 0.805498 1.888643 1.865121 0.012520

121 0.812210 1.939219 1.913931 0.012847

122 0.818923 1.993717 1.966468 0.013200

123 0.825635 2.052588 2.023153 0.013580

124 0.832348 2.116357 2.084473 0.013992

125 0.839060 2.185633 2.150995 0.014439

126 0.845773 2.261135 2.223384 0.014924

127 0.852485 2.343711 2.302423 0.015455

128 0.859198 2.434370 2.389041 0.016036

129 0.865910 2.534325 2.484348 0.016676

130 0.872623 2.645043 2.589684 0.017383

131 0.879335 2.768319 2.706681 0.018169

132 0.886048 2.906368 2.837343 0.019046

133 0.892760 3.061963 2.984165 0.020031

134 0.899473 3.238616 3.150289 0.021146

135 0.906185 3.440844 3.339730 0.022418

136 0.912898 3.674558 3.557701 0.023881

137 0.919610 3.947640 3.811099 0.025582

138 0.926323 4.270849 4.109244 0.027583

139 0.933035 4.659252 4.465050 0.029972

140 0.939748 5.134637 4.896944 0.032871

141 0.946460 5.729712 5.432174 0.036463

142 0.953172 6.495945 6.112828 0.041032

143 0.959885 7.519247 7.007596 0.047038

144 0.966597 8.954593 8.236920 0.055290

145 0.973310 11.112856 10.033724 0.067351

146 0.980022 14.722723 12.917789 0.086710

147 0.986735 21.987820 18.355271 0.123209

148 0.993447 44.141288 33.064554 0.221945

149 1.000160 -1794.533714 -875.196213 -5.874739

150 1.006872 -41.391608 -917.962661 -6.161808

151 1.013585 -20.765806 -31.078707 -0.208615

152 1.020297 -13.783414 -17.274610 -0.115956

153 1.027010 -10.272420 -12.027917 -0.080737

154 1.033722 -8.159851 -9.216136 -0.061863

155 1.040435 -6.749252 -7.454552 -0.050039

156 1.047147 -5.740795 -6.245024 -0.041920

157 1.053860 -4.984118 -5.362457 -0.035995

Page 465: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.060572 -4.395514 -4.689816 -0.031480

159 1.067285 -3.924677 -4.160095 -0.027925

160 1.073997 -3.539554 -3.732115 -0.025052

161 1.080710 -3.218757 -3.379155 -0.022683

162 1.087422 -2.947466 -3.083111 -0.020695

163 1.094135 -2.715088 -2.831277 -0.019005

164 1.100847 -2.513851 -2.614470 -0.017550

165 1.107560 -2.337922 -2.425887 -0.016284

166 1.114272 -2.182841 -2.260382 -0.015173

167 1.120985 -2.045134 -2.113987 -0.014190

168 1.127697 -1.922060 -1.983597 -0.013315

169 1.134409 -1.811426 -1.866743 -0.012530

170 1.141122 -1.711455 -1.761440 -0.011824

171 1.147834 -1.620693 -1.666074 -0.011183

172 1.154547 -1.537938 -1.579315 -0.010601

173 1.161259 -1.462190 -1.500064 -0.010069

174 1.167972 -1.392608 -1.427399 -0.009581

175 1.174684 -1.328479 -1.360543 -0.009133

176 1.181397 -1.269197 -1.298838 -0.008718

177 1.188109 -1.214242 -1.241719 -0.008335

178 1.194822 -1.163166 -1.188704 -0.007979

179 1.201534 -1.115580 -1.139373 -0.007648

180 1.208247 -1.071146 -1.093363 -0.007339

181 1.214959 -1.029567 -1.050356 -0.007050

182 1.221672 -0.990584 -1.010076 -0.006780

183 1.228384 -0.953967 -0.972276 -0.006526

184 1.235097 -0.919512 -0.936740 -0.006288

185 1.241809 -0.887039 -0.903276 -0.006063

186 1.248522 -0.856386 -0.871713 -0.005851

187 1.255234 -0.827409 -0.841898 -0.005651

188 1.261947 -0.799979 -0.813694 -0.005462

189 1.268659 -0.773978 -0.786978 -0.005283

190 1.275372 -0.749302 -0.761640 -0.005112

191 1.282084 -0.725855 -0.737579 -0.004951

192 1.288797 -0.703552 -0.714704 -0.004797

193 1.295509 -0.682313 -0.692933 -0.004651

194 1.302222 -0.662068 -0.672191 -0.004512

195 1.308934 -0.642751 -0.652409 -0.004379

196 1.315647 -0.624302 -0.633526 -0.004253

197 1.322359 -0.606666 -0.615484 -0.004131

198 1.329071 -0.589794 -0.598230 -0.004016

199 1.335784 -0.573638 -0.581716 -0.003905

200 1.342496 -0.558157 -0.565898 -0.003799

Page 466: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = -11.08111

Page 467: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.3050

N 3.4856

RESULTADO

F(u,N) 1.8572

CALCULOSxo 0 N tramos= 200xn 1.30504 0.006525C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006525 1.000000 1.000000 0.006525

2 0.013050 1.000000 1.000000 0.006525

3 0.019576 1.000001 1.000001 0.006525

4 0.026101 1.000003 1.000002 0.006525

5 0.032626 1.000007 1.000005 0.006525

6 0.039151 1.000012 1.000010 0.006525

7 0.045676 1.000021 1.000017 0.006525

8 0.052202 1.000034 1.000028 0.006525

9 0.058727 1.000051 1.000043 0.006525

10 0.065252 1.000074 1.000062 0.006526

11 0.071777 1.000103 1.000088 0.006526

12 0.078302 1.000139 1.000121 0.006526

13 0.084828 1.000184 1.000162 0.006526

14 0.091353 1.000239 1.000211 0.006527

15 0.097878 1.000303 1.000271 0.006527

16 0.104403 1.000380 1.000342 0.006527

17 0.110928 1.000469 1.000425 0.006528

18 0.117454 1.000573 1.000521 0.006529

19 0.123979 1.000692 1.000632 0.006529

20 0.130504 1.000828 1.000760 0.006530

21 0.137029 1.000981 1.000904 0.006531

22 0.143554 1.001154 1.001068 0.006532

23 0.150080 1.001348 1.001251 0.006533

24 0.156605 1.001563 1.001456 0.006535

25 0.163130 1.001803 1.001683 0.006536

26 0.169655 1.002068 1.001935 0.006538

27 0.176180 1.002359 1.002213 0.006540

28 0.182706 1.002679 1.002519 0.006542

29 0.189231 1.003028 1.002853 0.006544

8

Page 468: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.195756 1.003409 1.003219 0.006546

31 0.202281 1.003824 1.003617 0.006549

32 0.208806 1.004273 1.004048 0.006552

33 0.215332 1.004759 1.004516 0.006555

34 0.221857 1.005284 1.005022 0.006558

35 0.228382 1.005849 1.005566 0.006562

36 0.234907 1.006456 1.006153 0.006565

37 0.241432 1.007108 1.006782 0.006569

38 0.247958 1.007806 1.007457 0.006574

39 0.254483 1.008552 1.008179 0.006579

40 0.261008 1.009348 1.008950 0.006584

41 0.267533 1.010197 1.009773 0.006589

42 0.274058 1.011100 1.010649 0.006595

43 0.280584 1.012061 1.011580 0.006601

44 0.287109 1.013080 1.012570 0.006607

45 0.293634 1.014161 1.013620 0.006614

46 0.300159 1.015306 1.014733 0.006621

47 0.306684 1.016517 1.015911 0.006629

48 0.313210 1.017797 1.017157 0.006637

49 0.319735 1.019148 1.018473 0.006646

50 0.326260 1.020574 1.019861 0.006655

51 0.332785 1.022077 1.021325 0.006664

52 0.339310 1.023659 1.022868 0.006674

53 0.345836 1.025325 1.024492 0.006685

54 0.352361 1.027076 1.026200 0.006696

55 0.358886 1.028916 1.027996 0.006708

56 0.365411 1.030848 1.029882 0.006720

57 0.371936 1.032875 1.031862 0.006733

58 0.378462 1.035002 1.033939 0.006747

59 0.384987 1.037231 1.036116 0.006761

60 0.391512 1.039566 1.038398 0.006776

61 0.398037 1.042011 1.040789 0.006791

62 0.404562 1.044570 1.043291 0.006808

63 0.411088 1.047247 1.045909 0.006825

64 0.417613 1.050047 1.048647 0.006843

65 0.424138 1.052973 1.051510 0.006861

66 0.430663 1.056031 1.054502 0.006881

67 0.437188 1.059224 1.057627 0.006901

68 0.443714 1.062559 1.060892 0.006923

69 0.450239 1.066041 1.064300 0.006945

70 0.456764 1.069674 1.067858 0.006968

71 0.463289 1.073465 1.071570 0.006992

Page 469: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.469814 1.077419 1.075442 0.007017

73 0.476340 1.081543 1.079481 0.007044

74 0.482865 1.085844 1.083693 0.007071

75 0.489390 1.090327 1.088085 0.007100

76 0.495915 1.095000 1.092664 0.007130

77 0.502440 1.099871 1.097436 0.007161

78 0.508966 1.104948 1.102410 0.007193

79 0.515491 1.110238 1.107593 0.007227

80 0.522016 1.115751 1.112995 0.007263

81 0.528541 1.121495 1.118623 0.007299

82 0.535066 1.127481 1.124488 0.007338

83 0.541592 1.133718 1.130600 0.007377

84 0.548117 1.140218 1.136968 0.007419

85 0.554642 1.146991 1.143604 0.007462

86 0.561167 1.154049 1.150520 0.007507

87 0.567692 1.161406 1.157727 0.007554

88 0.574218 1.169074 1.165240 0.007603

89 0.580743 1.177069 1.173072 0.007655

90 0.587268 1.185405 1.181237 0.007708

91 0.593793 1.194098 1.189752 0.007763

92 0.600318 1.203166 1.198632 0.007821

93 0.606844 1.212627 1.207897 0.007882

94 0.613369 1.222500 1.217564 0.007945

95 0.619894 1.232807 1.227654 0.008011

96 0.626419 1.243569 1.238188 0.008079

97 0.632944 1.254810 1.249189 0.008151

98 0.639470 1.266557 1.260683 0.008226

99 0.645995 1.278835 1.272696 0.008305

100 0.652520 1.291676 1.285256 0.008387

101 0.659045 1.305111 1.298393 0.008472

102 0.665570 1.319173 1.312142 0.008562

103 0.672096 1.333900 1.326536 0.008656

104 0.678621 1.349331 1.341615 0.008754

105 0.685146 1.365510 1.357421 0.008857

106 0.691671 1.382484 1.373997 0.008966

107 0.698196 1.400304 1.391394 0.009079

108 0.704722 1.419024 1.409664 0.009198

109 0.711247 1.438706 1.428865 0.009324

110 0.717772 1.459414 1.449060 0.009455

111 0.724297 1.481222 1.470318 0.009594

112 0.730822 1.504208 1.492715 0.009740

113 0.737348 1.528459 1.516334 0.009894

114 0.743873 1.554072 1.541266 0.010057

Page 470: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.750398 1.581152 1.567612 0.010229

116 0.756923 1.609816 1.595484 0.010411

117 0.763448 1.640194 1.625005 0.010603

118 0.769974 1.672431 1.656312 0.010808

119 0.776499 1.706690 1.689560 0.011025

120 0.783024 1.743150 1.724920 0.011255

121 0.789549 1.782017 1.762584 0.011501

122 0.796074 1.823520 1.802768 0.011763

123 0.802600 1.867918 1.845719 0.012044

124 0.809125 1.915509 1.891714 0.012344

125 0.815650 1.966629 1.941069 0.012666

126 0.822175 2.021665 1.994147 0.013012

127 0.828700 2.081064 2.051365 0.013386

128 0.835226 2.145343 2.113204 0.013789

129 0.841751 2.215104 2.180224 0.014226

130 0.848276 2.291052 2.253078 0.014702

131 0.854801 2.374020 2.332536 0.015220

132 0.861326 2.464997 2.419509 0.015788

133 0.867852 2.565168 2.515083 0.016411

134 0.874377 2.675964 2.620566 0.017100

135 0.880902 2.799128 2.737546 0.017863

136 0.887427 2.936810 2.867969 0.018714

137 0.893952 3.091687 3.014248 0.019669

138 0.900478 3.267138 3.179413 0.020746

139 0.907003 3.467494 3.367316 0.021972

140 0.913528 3.698387 3.582940 0.023379

141 0.920053 3.967293 3.832840 0.025010

142 0.926578 4.284343 4.125818 0.026922

143 0.933104 4.663623 4.473983 0.029194

144 0.939629 5.125305 4.894464 0.031937

145 0.946154 5.699345 5.412325 0.035317

146 0.952679 6.432215 6.065780 0.039580

147 0.959204 7.400125 6.916170 0.045129

148 0.965730 8.737325 8.068725 0.052650

149 0.972255 10.704358 9.720842 0.063430

150 0.978780 13.882239 12.293299 0.080216

151 0.985305 19.883971 16.883105 0.110166

152 0.991830 35.475874 27.679922 0.180617

153 0.998356 174.820454 105.148164 0.686113

154 1.004881 -58.425366 58.197544 0.379751

155 1.011406 -24.799477 -41.612422 -0.271529

156 1.017931 -15.647942 -20.223709 -0.131964

157 1.024456 -11.380751 -13.514346 -0.088184

Page 471: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.030982 -8.911739 -10.146245 -0.066206

159 1.037507 -7.302393 -8.107066 -0.052900

160 1.044032 -6.170519 -6.736456 -0.043957

161 1.050557 -5.331238 -5.750879 -0.037526

162 1.057082 -4.684205 -5.007721 -0.032676

163 1.063608 -4.170251 -4.427228 -0.028889

164 1.070133 -3.752228 -3.961239 -0.025848

165 1.076658 -3.405636 -3.578932 -0.023353

166 1.083183 -3.113663 -3.259649 -0.021270

167 1.089708 -2.864387 -2.989025 -0.019504

168 1.096234 -2.649122 -2.756755 -0.017988

169 1.102759 -2.461386 -2.555254 -0.016674

170 1.109284 -2.296247 -2.378816 -0.015522

171 1.115809 -2.149882 -2.223064 -0.014506

172 1.122334 -2.019286 -2.084584 -0.013602

173 1.128860 -1.902063 -1.960675 -0.012794

174 1.135385 -1.796277 -1.849170 -0.012066

175 1.141910 -1.700348 -1.748312 -0.011408

176 1.148435 -1.612977 -1.656662 -0.010810

177 1.154960 -1.533080 -1.573028 -0.010264

178 1.161486 -1.459750 -1.496415 -0.009764

179 1.168011 -1.392222 -1.425986 -0.009305

180 1.174536 -1.329842 -1.361032 -0.008881

181 1.181061 -1.272055 -1.300949 -0.008489

182 1.187586 -1.218379 -1.245217 -0.008125

183 1.194112 -1.168399 -1.193389 -0.007787

184 1.200637 -1.121753 -1.145076 -0.007472

185 1.207162 -1.078126 -1.099939 -0.007177

186 1.213687 -1.037240 -1.057683 -0.006902

187 1.220212 -0.998851 -1.018046 -0.006643

188 1.226738 -0.962742 -0.980797 -0.006400

189 1.233263 -0.928722 -0.945732 -0.006171

190 1.239788 -0.896619 -0.912670 -0.005955

191 1.246313 -0.866280 -0.881449 -0.005752

192 1.252838 -0.837568 -0.851924 -0.005559

193 1.259364 -0.810359 -0.823963 -0.005377

194 1.265889 -0.784543 -0.797451 -0.005204

195 1.272414 -0.760018 -0.772280 -0.005039

196 1.278939 -0.736693 -0.748355 -0.004883

197 1.285464 -0.714486 -0.725590 -0.004735

198 1.291990 -0.693321 -0.703904 -0.004593

199 1.298515 -0.673129 -0.683225 -0.004458

200 1.305040 -0.653848 -0.663488 -0.004329

Page 472: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 1.85717

Page 473: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 1.2678

N 3.4856

RESULTADO

F(u,N) 0.0415

CALCULOSxo 0 N tramos= 200xn 1.26776 0.006339C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.006339 1.000000 1.000000 0.006339

2 0.012678 1.000000 1.000000 0.006339

3 0.019016 1.000001 1.000001 0.006339

4 0.025355 1.000003 1.000002 0.006339

5 0.031694 1.000006 1.000004 0.006339

6 0.038033 1.000011 1.000009 0.006339

7 0.044372 1.000019 1.000015 0.006339

8 0.050710 1.000031 1.000025 0.006339

9 0.057049 1.000046 1.000038 0.006339

10 0.063388 1.000067 1.000056 0.006339

11 0.069727 1.000093 1.000080 0.006339

12 0.076066 1.000126 1.000110 0.006339

13 0.082404 1.000167 1.000146 0.006340

14 0.088743 1.000216 1.000191 0.006340

15 0.095082 1.000274 1.000245 0.006340

16 0.101421 1.000343 1.000309 0.006341

17 0.107759 1.000424 1.000384 0.006341

18 0.114098 1.000518 1.000471 0.006342

19 0.120437 1.000625 1.000572 0.006342

20 0.126776 1.000748 1.000687 0.006343

21 0.133115 1.000887 1.000817 0.006344

22 0.139453 1.001043 1.000965 0.006345

23 0.145792 1.001218 1.001130 0.006346

24 0.152131 1.001413 1.001315 0.006347

25 0.158470 1.001629 1.001521 0.006348

26 0.164809 1.001869 1.001749 0.006350

27 0.171147 1.002132 1.002000 0.006351

28 0.177486 1.002421 1.002276 0.006353

29 0.183825 1.002736 1.002579 0.006355

9

Page 474: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.190164 1.003081 1.002909 0.006357

31 0.196503 1.003455 1.003268 0.006360

32 0.202841 1.003861 1.003658 0.006362

33 0.209180 1.004300 1.004080 0.006365

34 0.215519 1.004774 1.004537 0.006368

35 0.221858 1.005284 1.005029 0.006371

36 0.228197 1.005832 1.005558 0.006374

37 0.234535 1.006421 1.006126 0.006378

38 0.240874 1.007050 1.006736 0.006381

39 0.247213 1.007724 1.007387 0.006386

40 0.253552 1.008442 1.008083 0.006390

41 0.259890 1.009208 1.008825 0.006395

42 0.266229 1.010023 1.009616 0.006400

43 0.272568 1.010889 1.010456 0.006405

44 0.278907 1.011808 1.011349 0.006411

45 0.285246 1.012783 1.012296 0.006417

46 0.291584 1.013815 1.013299 0.006423

47 0.297923 1.014906 1.014360 0.006430

48 0.304262 1.016059 1.015483 0.006437

49 0.310601 1.017277 1.016668 0.006444

50 0.316940 1.018560 1.017919 0.006452

51 0.323278 1.019913 1.019237 0.006461

52 0.329617 1.021337 1.020625 0.006470

53 0.335956 1.022836 1.022087 0.006479

54 0.342295 1.024411 1.023623 0.006489

55 0.348634 1.026065 1.025238 0.006499

56 0.354972 1.027801 1.026933 0.006510

57 0.361311 1.029623 1.028712 0.006521

58 0.367650 1.031533 1.030578 0.006533

59 0.373989 1.033533 1.032533 0.006545

60 0.380328 1.035629 1.034581 0.006558

61 0.386666 1.037822 1.036725 0.006572

62 0.393005 1.040116 1.038969 0.006586

63 0.399344 1.042514 1.041315 0.006601

64 0.405683 1.045021 1.043768 0.006616

65 0.412022 1.047640 1.046331 0.006632

66 0.418360 1.050375 1.049008 0.006649

67 0.424699 1.053231 1.051803 0.006667

68 0.431038 1.056210 1.054720 0.006686

69 0.437377 1.059319 1.057764 0.006705

70 0.443715 1.062560 1.060940 0.006725

71 0.450054 1.065940 1.064250 0.006746

Page 475: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.456393 1.069463 1.067702 0.006768

73 0.462732 1.073135 1.071299 0.006791

74 0.469071 1.076960 1.075048 0.006815

75 0.475409 1.080945 1.078953 0.006839

76 0.481748 1.085095 1.083020 0.006865

77 0.488087 1.089417 1.087256 0.006892

78 0.494426 1.093916 1.091667 0.006920

79 0.500765 1.098601 1.096259 0.006949

80 0.507103 1.103478 1.101039 0.006979

81 0.513442 1.108554 1.106016 0.007011

82 0.519781 1.113837 1.111195 0.007044

83 0.526120 1.119336 1.116587 0.007078

84 0.532459 1.125059 1.122198 0.007113

85 0.538797 1.131016 1.128038 0.007150

86 0.545136 1.137216 1.134116 0.007189

87 0.551475 1.143668 1.140442 0.007229

88 0.557814 1.150385 1.147027 0.007271

89 0.564153 1.157377 1.153881 0.007314

90 0.570491 1.164656 1.161017 0.007359

91 0.576830 1.172235 1.168446 0.007407

92 0.583169 1.180128 1.176182 0.007456

93 0.589508 1.188348 1.184238 0.007507

94 0.595846 1.196911 1.192629 0.007560

95 0.602185 1.205832 1.201371 0.007615

96 0.608524 1.215130 1.210481 0.007673

97 0.614863 1.224821 1.219975 0.007733

98 0.621202 1.234926 1.229874 0.007796

99 0.627540 1.245466 1.240196 0.007861

100 0.633879 1.256461 1.250964 0.007930

101 0.640218 1.267937 1.262199 0.008001

102 0.646557 1.279919 1.273928 0.008075

103 0.652896 1.292433 1.286176 0.008153

104 0.659234 1.305509 1.298971 0.008234

105 0.665573 1.319179 1.312344 0.008319

106 0.671912 1.333476 1.326327 0.008407

107 0.678251 1.348437 1.340956 0.008500

108 0.684590 1.364101 1.356269 0.008597

109 0.690928 1.380511 1.372306 0.008699

110 0.697267 1.397713 1.389112 0.008805

111 0.703606 1.415757 1.406735 0.008917

112 0.709945 1.434699 1.425228 0.009034

113 0.716284 1.454596 1.444647 0.009157

114 0.722622 1.475515 1.465056 0.009287

Page 476: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.728961 1.497526 1.486521 0.009423

116 0.735300 1.520707 1.509117 0.009566

117 0.741639 1.545143 1.532925 0.009717

118 0.747978 1.570928 1.558036 0.009876

119 0.754316 1.598166 1.584547 0.010044

120 0.760655 1.626971 1.612568 0.010222

121 0.766994 1.657470 1.642220 0.010410

122 0.773333 1.689804 1.673637 0.010609

123 0.779671 1.724130 1.706967 0.010820

124 0.786010 1.760626 1.742378 0.011045

125 0.792349 1.799488 1.780057 0.011283

126 0.798688 1.840939 1.820213 0.011538

127 0.805027 1.885230 1.863084 0.011810

128 0.811365 1.932646 1.908938 0.012100

129 0.817704 1.983513 1.958080 0.012412

130 0.824043 2.038201 2.010857 0.012746

131 0.830382 2.097139 2.067670 0.013107

132 0.836721 2.160819 2.128979 0.013495

133 0.843059 2.229814 2.195317 0.013916

134 0.849398 2.304796 2.267305 0.014372

135 0.855737 2.386550 2.345673 0.014869

136 0.862076 2.476010 2.431280 0.015411

137 0.868415 2.574286 2.525148 0.016006

138 0.874753 2.682717 2.628502 0.016662

139 0.881092 2.802924 2.742820 0.017386

140 0.887431 2.936894 2.869909 0.018192

141 0.893770 3.087090 3.011992 0.019092

142 0.900109 3.256597 3.171843 0.020106

143 0.906447 3.449339 3.352968 0.021254

144 0.912786 3.670381 3.559860 0.022565

145 0.919125 3.926372 3.798376 0.024077

146 0.925464 4.226227 4.076300 0.025839

147 0.931802 4.582174 4.404201 0.027917

148 0.938141 5.011453 4.796814 0.030406

149 0.944480 5.539178 5.275316 0.033439

150 0.950819 6.203409 5.871293 0.037217

151 0.957158 7.064731 6.634070 0.042052

152 0.963496 8.225813 7.645272 0.048462

153 0.969835 9.875623 9.050718 0.057371

154 0.976174 12.404222 11.139922 0.070614

155 0.982513 16.767234 14.585728 0.092456

156 0.988852 26.093697 21.430466 0.135843

157 0.995190 60.008279 43.050988 0.272891

Page 477: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 1.001529 -187.254401 -63.623061 -0.403293

159 1.007868 -36.108994 -111.681697 -0.707927

160 1.014207 -19.841377 -27.975185 -0.177329

161 1.020546 -13.612663 -16.727020 -0.106029

162 1.026884 -10.321931 -11.967297 -0.075858

163 1.033223 -8.287525 -9.304728 -0.058981

164 1.039562 -6.905557 -7.596541 -0.048153

165 1.045901 -5.905722 -6.405640 -0.040604

166 1.052240 -5.148911 -5.527317 -0.035037

167 1.058578 -4.556228 -4.852569 -0.030759

168 1.064917 -4.079591 -4.317909 -0.027370

169 1.071256 -3.688027 -3.883809 -0.024619

170 1.077595 -3.360686 -3.524357 -0.022340

171 1.083934 -3.083014 -3.221850 -0.020423

172 1.090272 -2.844546 -2.963780 -0.018787

173 1.096611 -2.637564 -2.741055 -0.017375

174 1.102950 -2.456249 -2.546906 -0.016144

175 1.109289 -2.296134 -2.376192 -0.015062

176 1.115627 -2.153732 -2.224933 -0.014103

177 1.121966 -2.026278 -2.090005 -0.013248

178 1.128305 -1.911555 -1.968916 -0.012481

179 1.134644 -1.807765 -1.859660 -0.011788

180 1.140983 -1.713432 -1.760599 -0.011160

181 1.147321 -1.627333 -1.670382 -0.010588

182 1.153660 -1.548448 -1.587891 -0.010065

183 1.159999 -1.475920 -1.512184 -0.009585

184 1.166338 -1.409020 -1.442470 -0.009144

185 1.172677 -1.347127 -1.378073 -0.008735

186 1.179015 -1.289709 -1.318418 -0.008357

187 1.185354 -1.236305 -1.263007 -0.008006

188 1.191693 -1.186517 -1.211411 -0.007679

189 1.198032 -1.139996 -1.163256 -0.007374

190 1.204371 -1.096438 -1.118217 -0.007088

191 1.210709 -1.055575 -1.076006 -0.006821

192 1.217048 -1.017169 -1.036372 -0.006569

193 1.223387 -0.981011 -0.999090 -0.006333

194 1.229726 -0.946914 -0.963963 -0.006110

195 1.236065 -0.914712 -0.930813 -0.005900

196 1.242403 -0.884255 -0.899483 -0.005702

197 1.248742 -0.855409 -0.869832 -0.005514

198 1.255081 -0.828053 -0.841731 -0.005336

199 1.261420 -0.802079 -0.815066 -0.005167

200 1.267758 -0.777387 -0.789733 -0.005006

Page 478: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 0.04147

Page 479: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

DATOS

v 0.0000

N 3.4856

RESULTADO

F(u,N) 0.0000

CALCULOSxo 0 N tramos= 200xn 0.00000 0.000000C1 C2 C3 C4x f(x) (F(x)+F(x+1))/2 C4=C3*Xn/200

0 0.000000 1.000000

1 0.000000 1.000000 1.000000 0.000000

2 0.000000 1.000000 1.000000 0.000000

3 0.000000 1.000000 1.000000 0.000000

4 0.000000 1.000000 1.000000 0.000000

5 0.000000 1.000000 1.000000 0.000000

6 0.000000 1.000000 1.000000 0.000000

7 0.000000 1.000000 1.000000 0.000000

8 0.000000 1.000000 1.000000 0.000000

9 0.000000 1.000000 1.000000 0.000000

10 0.000000 1.000000 1.000000 0.000000

11 0.000000 1.000000 1.000000 0.000000

12 0.000000 1.000000 1.000000 0.000000

13 0.000000 1.000000 1.000000 0.000000

14 0.000000 1.000000 1.000000 0.000000

15 0.000000 1.000000 1.000000 0.000000

16 0.000000 1.000000 1.000000 0.000000

17 0.000000 1.000000 1.000000 0.000000

18 0.000000 1.000000 1.000000 0.000000

19 0.000000 1.000000 1.000000 0.000000

20 0.000000 1.000000 1.000000 0.000000

21 0.000000 1.000000 1.000000 0.000000

22 0.000000 1.000000 1.000000 0.000000

23 0.000000 1.000000 1.000000 0.000000

24 0.000000 1.000000 1.000000 0.000000

25 0.000000 1.000000 1.000000 0.000000

26 0.000000 1.000000 1.000000 0.000000

27 0.000000 1.000000 1.000000 0.000000

28 0.000000 1.000000 1.000000 0.000000

29 0.000000 1.000000 1.000000 0.000000

10

Page 480: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

30 0.000000 1.000000 1.000000 0.000000

31 0.000000 1.000000 1.000000 0.000000

32 0.000000 1.000000 1.000000 0.000000

33 0.000000 1.000000 1.000000 0.000000

34 0.000000 1.000000 1.000000 0.000000

35 0.000000 1.000000 1.000000 0.000000

36 0.000000 1.000000 1.000000 0.000000

37 0.000000 1.000000 1.000000 0.000000

38 0.000000 1.000000 1.000000 0.000000

39 0.000000 1.000000 1.000000 0.000000

40 0.000000 1.000000 1.000000 0.000000

41 0.000000 1.000000 1.000000 0.000000

42 0.000000 1.000000 1.000000 0.000000

43 0.000000 1.000000 1.000000 0.000000

44 0.000000 1.000000 1.000000 0.000000

45 0.000000 1.000000 1.000000 0.000000

46 0.000000 1.000000 1.000000 0.000000

47 0.000000 1.000000 1.000000 0.000000

48 0.000000 1.000000 1.000000 0.000000

49 0.000000 1.000000 1.000000 0.000000

50 0.000000 1.000000 1.000000 0.000000

51 0.000000 1.000000 1.000000 0.000000

52 0.000000 1.000000 1.000000 0.000000

53 0.000000 1.000000 1.000000 0.000000

54 0.000000 1.000000 1.000000 0.000000

55 0.000000 1.000000 1.000000 0.000000

56 0.000000 1.000000 1.000000 0.000000

57 0.000000 1.000000 1.000000 0.000000

58 0.000000 1.000000 1.000000 0.000000

59 0.000000 1.000000 1.000000 0.000000

60 0.000000 1.000000 1.000000 0.000000

61 0.000000 1.000000 1.000000 0.000000

62 0.000000 1.000000 1.000000 0.000000

63 0.000000 1.000000 1.000000 0.000000

64 0.000000 1.000000 1.000000 0.000000

65 0.000000 1.000000 1.000000 0.000000

66 0.000000 1.000000 1.000000 0.000000

67 0.000000 1.000000 1.000000 0.000000

68 0.000000 1.000000 1.000000 0.000000

69 0.000000 1.000000 1.000000 0.000000

70 0.000000 1.000000 1.000000 0.000000

71 0.000000 1.000000 1.000000 0.000000

Page 481: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

72 0.000000 1.000000 1.000000 0.000000

73 0.000000 1.000000 1.000000 0.000000

74 0.000000 1.000000 1.000000 0.000000

75 0.000000 1.000000 1.000000 0.000000

76 0.000000 1.000000 1.000000 0.000000

77 0.000000 1.000000 1.000000 0.000000

78 0.000000 1.000000 1.000000 0.000000

79 0.000000 1.000000 1.000000 0.000000

80 0.000000 1.000000 1.000000 0.000000

81 0.000000 1.000000 1.000000 0.000000

82 0.000000 1.000000 1.000000 0.000000

83 0.000000 1.000000 1.000000 0.000000

84 0.000000 1.000000 1.000000 0.000000

85 0.000000 1.000000 1.000000 0.000000

86 0.000000 1.000000 1.000000 0.000000

87 0.000000 1.000000 1.000000 0.000000

88 0.000000 1.000000 1.000000 0.000000

89 0.000000 1.000000 1.000000 0.000000

90 0.000000 1.000000 1.000000 0.000000

91 0.000000 1.000000 1.000000 0.000000

92 0.000000 1.000000 1.000000 0.000000

93 0.000000 1.000000 1.000000 0.000000

94 0.000000 1.000000 1.000000 0.000000

95 0.000000 1.000000 1.000000 0.000000

96 0.000000 1.000000 1.000000 0.000000

97 0.000000 1.000000 1.000000 0.000000

98 0.000000 1.000000 1.000000 0.000000

99 0.000000 1.000000 1.000000 0.000000

100 0.000000 1.000000 1.000000 0.000000

101 0.000000 1.000000 1.000000 0.000000

102 0.000000 1.000000 1.000000 0.000000

103 0.000000 1.000000 1.000000 0.000000

104 0.000000 1.000000 1.000000 0.000000

105 0.000000 1.000000 1.000000 0.000000

106 0.000000 1.000000 1.000000 0.000000

107 0.000000 1.000000 1.000000 0.000000

108 0.000000 1.000000 1.000000 0.000000

109 0.000000 1.000000 1.000000 0.000000

110 0.000000 1.000000 1.000000 0.000000

111 0.000000 1.000000 1.000000 0.000000

112 0.000000 1.000000 1.000000 0.000000

113 0.000000 1.000000 1.000000 0.000000

114 0.000000 1.000000 1.000000 0.000000

Page 482: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

115 0.000000 1.000000 1.000000 0.000000

116 0.000000 1.000000 1.000000 0.000000

117 0.000000 1.000000 1.000000 0.000000

118 0.000000 1.000000 1.000000 0.000000

119 0.000000 1.000000 1.000000 0.000000

120 0.000000 1.000000 1.000000 0.000000

121 0.000000 1.000000 1.000000 0.000000

122 0.000000 1.000000 1.000000 0.000000

123 0.000000 1.000000 1.000000 0.000000

124 0.000000 1.000000 1.000000 0.000000

125 0.000000 1.000000 1.000000 0.000000

126 0.000000 1.000000 1.000000 0.000000

127 0.000000 1.000000 1.000000 0.000000

128 0.000000 1.000000 1.000000 0.000000

129 0.000000 1.000000 1.000000 0.000000

130 0.000000 1.000000 1.000000 0.000000

131 0.000000 1.000000 1.000000 0.000000

132 0.000000 1.000000 1.000000 0.000000

133 0.000000 1.000000 1.000000 0.000000

134 0.000000 1.000000 1.000000 0.000000

135 0.000000 1.000000 1.000000 0.000000

136 0.000000 1.000000 1.000000 0.000000

137 0.000000 1.000000 1.000000 0.000000

138 0.000000 1.000000 1.000000 0.000000

139 0.000000 1.000000 1.000000 0.000000

140 0.000000 1.000000 1.000000 0.000000

141 0.000000 1.000000 1.000000 0.000000

142 0.000000 1.000000 1.000000 0.000000

143 0.000000 1.000000 1.000000 0.000000

144 0.000000 1.000000 1.000000 0.000000

145 0.000000 1.000000 1.000000 0.000000

146 0.000000 1.000000 1.000000 0.000000

147 0.000000 1.000000 1.000000 0.000000

148 0.000000 1.000000 1.000000 0.000000

149 0.000000 1.000000 1.000000 0.000000

150 0.000000 1.000000 1.000000 0.000000

151 0.000000 1.000000 1.000000 0.000000

152 0.000000 1.000000 1.000000 0.000000

153 0.000000 1.000000 1.000000 0.000000

154 0.000000 1.000000 1.000000 0.000000

155 0.000000 1.000000 1.000000 0.000000

156 0.000000 1.000000 1.000000 0.000000

157 0.000000 1.000000 1.000000 0.000000

Page 483: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

158 0.000000 1.000000 1.000000 0.000000

159 0.000000 1.000000 1.000000 0.000000

160 0.000000 1.000000 1.000000 0.000000

161 0.000000 1.000000 1.000000 0.000000

162 0.000000 1.000000 1.000000 0.000000

163 0.000000 1.000000 1.000000 0.000000

164 0.000000 1.000000 1.000000 0.000000

165 0.000000 1.000000 1.000000 0.000000

166 0.000000 1.000000 1.000000 0.000000

167 0.000000 1.000000 1.000000 0.000000

168 0.000000 1.000000 1.000000 0.000000

169 0.000000 1.000000 1.000000 0.000000

170 0.000000 1.000000 1.000000 0.000000

171 0.000000 1.000000 1.000000 0.000000

172 0.000000 1.000000 1.000000 0.000000

173 0.000000 1.000000 1.000000 0.000000

174 0.000000 1.000000 1.000000 0.000000

175 0.000000 1.000000 1.000000 0.000000

176 0.000000 1.000000 1.000000 0.000000

177 0.000000 1.000000 1.000000 0.000000

178 0.000000 1.000000 1.000000 0.000000

179 0.000000 1.000000 1.000000 0.000000

180 0.000000 1.000000 1.000000 0.000000

181 0.000000 1.000000 1.000000 0.000000

182 0.000000 1.000000 1.000000 0.000000

183 0.000000 1.000000 1.000000 0.000000

184 0.000000 1.000000 1.000000 0.000000

185 0.000000 1.000000 1.000000 0.000000

186 0.000000 1.000000 1.000000 0.000000

187 0.000000 1.000000 1.000000 0.000000

188 0.000000 1.000000 1.000000 0.000000

189 0.000000 1.000000 1.000000 0.000000

190 0.000000 1.000000 1.000000 0.000000

191 0.000000 1.000000 1.000000 0.000000

192 0.000000 1.000000 1.000000 0.000000

193 0.000000 1.000000 1.000000 0.000000

194 0.000000 1.000000 1.000000 0.000000

195 0.000000 1.000000 1.000000 0.000000

196 0.000000 1.000000 1.000000 0.000000

197 0.000000 1.000000 1.000000 0.000000

198 0.000000 1.000000 1.000000 0.000000

199 0.000000 1.000000 1.000000 0.000000

200 0.000000 1.000000 1.000000 0.000000

Page 484: 2° CURVAS DE REMANSO CANAL HUAYCHA TRAMO 1 , RAPIDA

INTEGRAL = 0.00000