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DISEÑO DE COLUMNAS DE CONCRETO ARMADO Dimensiones de columna H= 70 Cm B= 70 Cm Materiales fc= 280 Kg/cm2 Fy= 4200 Kg/cm2 Numero de pisos edificio: 7 W ( Peso por unidad de area) 0.7 Tn/m2 Area Tributaria: 29.32 m2 n= 0.45 Columna cent Carga total en la columna (1.25 179.585 Tn Carga axial resistente: 617.4 Estribo: 3/8 7.00 Refuerzo: Fila n di F Area 1 2 3.49 1 10.134 2 2 10.49 3/4 5.700 3 2 17.50 0 0.000 4 2 24.50 0 0.000 5 2 23.33 1 10.134 6 2 46.67 1 10.134 7 2 53.67 0 0.000 8 2 60.67 0 0.000 9 2 67.67 3/4 5.700 10 2 66.51 1 10.134 Area Total: 51.938 Area bruta Columna: 4900 Cm2 r= 0.01059949 OK Condicion Concentrica P= 1,384.338 Tn ey= 0.0021 Cb= 39.122 r≥0.01
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diseño de Columna

Dec 25, 2015

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Page 1: diseño de Columna

DISEÑO DE COLUMNAS DE CONCRETO ARMADO

Dimensiones de columnaH= 70 CmB= 70 CmMaterialesfc= 280 Kg/cm2Fy= 4200 Kg/cm2

Numero de pisos edificio: 7W ( Peso por unidad de area) 0.7 Tn/m2Area Tributaria: 29.32 m2n= 0.45 Columna centralCarga total en la columna (1.25 Ps): 179.585 TnCarga axial resistente: 617.4 OK

Estribo: 3/8 7.00

Refuerzo:

Fila n di F Area1 2 3.49 1 10.1342 2 10.49 3/4 5.7003 2 17.50 0 0.0004 2 24.50 0 0.0005 2 23.33 1 10.1346 2 46.67 1 10.1347 2 53.67 0 0.0008 2 60.67 0 0.0009 2 67.67 3/4 5.700

10 2 66.51 1 10.134Area Total: 51.938 cm2

Area bruta Columna: 4900 Cm2

r= 0.01059949

OKCondicion Concentrica: P= 1,384.338 Tney= 0.0021 Cb= 39.122 Cm

r≥0.010 20 40 60 80 100 120

0

100

200

300

400

500

600

700

800

900

M (tn-m)

P(Tn

)

Page 2: diseño de Columna

-6.951.3

-8.25

Page 3: diseño de Columna

0.35 Columna en esquina0.35 Columna lateral0.45 Columna central

36 2.54 91.44

35.393517459.8215683

00

236.46349 Cp=472.92698

00

385.759571673.9969531864.36208

0 20 40 60 80 100 1200

100

200

300

400

500

600

700

800

900

M (tn-m)

P(Tn

)

Page 4: diseño de Columna

35.89625

Page 5: diseño de Columna

Cb= 39.122058823529 d= 66.51 Cmey= 0.0021

Falla Fragil E= 2000000 Kg/Cm2

39.12 3.91220588

C C d11 0 01 3.91220588 3.91220588235293 7.82441176 7.82441176470594 11.7366176 11.7366176470595 15.6488235 15.6488235294126 19.5610294 19.5610294117657 23.4732353 23.4732352941188 27.3854412 27.3854411764719 31.2976471 31.297647058824

10 35.2098529 35.20985294117611 39.1220588 39.122058823529

Centro plastico:C= 3.912Acero:di Ai e si F brazo

1 3.49 10.13 -0.000322 -643.69 -6,523.22 32.402 10.49 5.70 0.005047 4,200.00 23,941.93 25.403 17.50 0.00 0.010416 4,200.00 0.00 18.404 24.50 0.00 0.015785 4,200.00 0.00 11.405 23.33 10.13 0.014893 4,200.00 42,563.43 12.566 46.67 10.13 0.032785 4,200.00 42,563.43 -10.777 53.67 0.00 0.038155 4,200.00 0.00 -17.778 60.67 0.00 0.043524 4,200.00 0.00 -24.779 67.67 5.70 0.048893 4,200.00 23,941.93 -31.78

10 66.51 10.13 0.048000 4,200.00 42,563.43 -30.61169,050.92

Concreto: a= 3.325375 cmb= 70 cmfc= 280 Kg/cm2 brazo=Pc= -55,400.75 M=

P= 113,650.18 M= -3,487,156.38-113.65 M= 34.87

C= 7.824Acero:di Ai e si F brazo

3.49 10.13 -0.001661 -3,321.84 -33,664.06 32.4010.49 5.70 0.001024 2,047.25 11,670.27 25.40

Page 6: diseño de Columna

17.50 0.00 0.003708 4,200.00 0.00 18.4024.50 0.00 0.006393 4,200.00 0.00 11.4023.33 10.13 0.005946 4,200.00 42,563.43 12.5646.67 10.13 0.014893 4,200.00 42,563.43 -10.7753.67 0.00 0.017577 4,200.00 0.00 -17.7760.67 0.00 0.020262 4,200.00 0.00 -24.7767.67 5.70 0.022946 4,200.00 23,941.93 -31.7866.51 10.13 0.022500 4,200.00 42,563.43 -30.61

129,638.42Concreto: a= 6.65075 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -110,801.49 M=

P= 18,836.93 M= -6,390,683.82-18.84 M= 63.91

C= 11.737Acero:di Ai e si F brazo

3.49 10.13 -0.002107 -4,200.00 -42,563.43 32.4010.49 5.70 -0.000318 -635.17 -3,620.74 25.4017.50 0.00 0.001472 2,944.23 0.00 18.4024.50 0.00 0.003262 4,200.00 0.00 11.4023.33 10.13 0.002964 4,200.00 42,563.43 12.5646.67 10.13 0.008928 4,200.00 42,563.43 -10.7753.67 0.00 0.010718 4,200.00 0.00 -17.7760.67 0.00 0.012508 4,200.00 0.00 -24.7767.67 5.70 0.014298 4,200.00 23,941.93 -31.7866.51 10.13 0.014000 4,200.00 42,563.43 -30.61

105,448.04Concreto: a= 9.976125 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -166,202.24 M=

P= -60,754.20 M= -8,595,588.6660.75 M= 85.96

C= 15.649Acero:di Ai e si F brazo

3.49 10.13 -0.002330 -4,200.00 -42,563.43 32.4010.49 5.70 -0.000988 -1,976.37 -11,266.24 25.4017.50 0.00 0.000354 708.17 0.00 18.4024.50 0.00 0.001696 3,392.72 0.00 11.4023.33 10.13 0.001473 2,946.36 29,858.85 12.5646.67 10.13 0.005946 4,200.00 42,563.43 -10.77

Page 7: diseño de Columna

53.67 0.00 0.007289 4,200.00 0.00 -17.7760.67 0.00 0.008631 4,200.00 0.00 -24.7767.67 5.70 0.009973 4,200.00 23,941.93 -31.7866.51 10.13 0.009750 4,200.00 42,563.43 -30.61

85,097.96Concreto: a= 13.3015 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -221,602.99 M=

P= -136,505.03 M= -10,293,287.14136.51 M= 102.93

C= 19.561Acero:di Ai e si F brazo

3.49 10.13 -0.002464 -4,200.00 -42,563.43 32.4010.49 5.70 -0.001391 -2,781.10 -15,853.55 25.4017.50 0.00 -0.000317 -633.46 0.00 18.4024.50 0.00 0.000757 1,514.18 0.00 11.4023.33 10.13 0.000579 1,157.09 11,726.10 12.5646.67 10.13 0.004157 4,200.00 42,563.43 -10.7753.67 0.00 0.005231 4,200.00 0.00 -17.7760.67 0.00 0.006305 4,200.00 0.00 -24.7767.67 5.70 0.007379 4,200.00 23,941.93 -31.7866.51 10.13 0.007200 4,200.00 42,563.43 -30.61

62,377.91Concreto: a= 16.626875 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -277,003.74 M=

P= -214,625.83 M= -11,797,266.30214.63 M= 117.97

C= 23.473Acero:di Ai e si F brazo

3.49 10.13 -0.002554 -4,200.00 -42,563.43 32.4010.49 5.70 -0.001659 -3,317.58 -18,911.75 25.4017.50 0.00 -0.000764 -1,527.89 0.00 18.4024.50 0.00 0.000131 261.81 0.00 11.4023.33 10.13 -0.000018 -35.76 -362.40 12.5646.67 10.13 0.002964 4,200.00 42,563.43 -10.7753.67 0.00 0.003859 4,200.00 0.00 -17.7760.67 0.00 0.004754 4,200.00 0.00 -24.7767.67 5.70 0.005649 4,200.00 23,941.93 -31.7866.51 10.13 0.005500 4,200.00 42,563.43 -30.61

Page 8: diseño de Columna

47,231.21Concreto: a= 19.95225 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -332,404.49 M=

P= -285,173.28 M= -13,002,241.44285.17 M= 130.02

C= 27.385Acero:di Ai e si F brazo

3.49 10.13 -0.002617 -4,200.00 -42,563.43 32.4010.49 5.70 -0.001850 -3,700.79 -21,096.18 25.4017.50 0.00 -0.001083 -2,166.76 0.00 18.4024.50 0.00 -0.000316 -632.73 0.00 11.4023.33 10.13 -0.000444 -887.79 -8,997.04 12.5646.67 10.13 0.002112 4,200.00 42,563.43 -10.7753.67 0.00 0.002879 4,200.00 0.00 -17.7760.67 0.00 0.003646 4,200.00 0.00 -24.7767.67 5.70 0.004413 4,200.00 23,941.93 -31.7866.51 10.13 0.004286 4,200.00 42,563.43 -30.61

36,412.14Concreto: a= 23.277625 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -387,805.23 M=

P= -351,393.10 M= -13,957,402.19351.39 M= 139.57

C= 31.298Acero:di Ai e si F brazo

3.49 10.13 -0.002665 -4,200.00 -42,563.43 32.4010.49 5.70 -0.001994 -3,988.19 -22,734.50 25.4017.50 0.00 -0.001323 -2,645.91 0.00 18.4024.50 0.00 -0.000652 -1,303.64 0.00 11.4023.33 10.13 -0.000763 -1,526.82 -15,473.03 12.5646.67 10.13 0.001473 2,946.36 29,858.85 -10.7753.67 0.00 0.002144 4,200.00 0.00 -17.7760.67 0.00 0.002815 4,200.00 0.00 -24.7767.67 5.70 0.003487 4,200.00 23,941.93 -31.7866.51 10.13 0.003375 4,200.00 42,563.43 -30.61

15,593.25Concreto: a= 26.603 cm

b= 70 cmfc= 280 Kg/cm2 brazo=

Page 9: diseño de Columna

Pc= -443,205.98 M=

P= -427,612.73 M= -14,550,509.70427.61 M= 145.51

C= 35.210Acero:di Ai e si F brazo

3.49 10.13 -0.002702 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002106 -4,200.00 -23,941.93 25.4017.50 0.00 -0.001509 -3,018.59 0.00 18.4024.50 0.00 -0.000913 -1,825.46 0.00 11.4023.33 10.13 -0.001012 -2,023.84 -20,509.90 12.5646.67 10.13 0.000976 1,952.32 19,785.10 -10.7753.67 0.00 0.001573 3,145.45 0.00 -17.7760.67 0.00 0.002169 4,200.00 0.00 -24.7767.67 5.70 0.002766 4,200.00 23,941.93 -31.7866.51 10.13 0.002667 4,200.00 42,563.43 -30.61

-724.80Concreto: a= 29.928375 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -498,606.73 M=

P= -499,331.53 M= -14,958,699.13499.33 M= 149.59

C= 39.122Acero:di Ai e si F brazo

3.49 10.13 -0.002732 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002195 -4,200.00 -23,941.93 25.4017.50 0.00 -0.001658 -3,316.73 0.00 18.4024.50 0.00 -0.001121 -2,242.91 0.00 11.4023.33 10.13 -0.001211 -2,421.46 -24,539.40 12.5646.67 10.13 0.000579 1,157.09 11,726.10 -10.7753.67 0.00 0.001115 2,230.91 0.00 -17.7760.67 0.00 0.001652 3,304.73 0.00 -24.7767.67 5.70 0.002189 4,200.00 23,941.93 -31.7866.51 10.13 0.002100 4,200.00 42,563.43 -30.61

-12,813.30Concreto: a= 33.25375 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -554,007.48 M=

P= -566,820.78 M= -15,161,033.23566.82 M= 151.61

Page 10: diseño de Columna

35.89625

momento-211,376.74608,174.86

0.000.00

534,720.80-458,425.86

0.000.00

-760,764.75-1,302,919.74-1,590,591.42

34.2335625-1,896,564.95

momento-1,090,841.72

296,449.09

Page 11: diseño de Columna

0.000.00

534,720.80-458,425.86

0.000.00

-760,764.75-1,302,919.74-2,781,782.18

32.570875-3,608,901.64

momento-1,379,214.69

-91,974.350.000.00

534,720.80-458,425.86

0.000.00

-760,764.75-1,302,919.74-3,458,578.59

30.9081875-5,137,010.07

momento-1,379,214.69

-286,186.070.000.00

375,114.21-458,425.86

Page 12: diseño de Columna

0.000.00

-760,764.75-1,302,919.74-3,812,396.90

29.2455-6,480,890.24

momento-1,379,214.69

-402,713.100.000.00

147,314.00-458,425.86

0.000.00

-760,764.75-1,302,919.74-4,156,724.14

27.5828125-7,640,542.15

momento-1,379,214.69

-480,397.790.000.00

-4,552.81-458,425.86

0.000.00

-760,764.75-1,302,919.74

Page 13: diseño de Columna

-4,386,275.64

25.920125-8,615,965.80

momento-1,379,214.69

-535,886.850.000.00

-113,029.11-458,425.86

0.000.00

-760,764.75-1,302,919.74-4,550,241.00

24.2574375-9,407,161.19

momento-1,379,214.69

-577,503.650.000.00

-194,386.33-321,592.23

0.000.00

-760,764.75-1,302,919.74-4,536,381.38

22.59475

Page 14: diseño de Columna

-10,014,128.32

momento-1,379,214.69

-608,174.860.000.00

-257,664.16-213,093.75

0.000.00

-760,764.75-1,302,919.74-4,521,831.95

20.9320625-10,436,867.18

momento-1,379,214.69

-608,174.860.000.00

-308,286.43-126,294.96

0.000.00

-760,764.75-1,302,919.74-4,485,655.44

19.269375-10,675,377.79

Page 15: diseño de Columna

Cb= 39.122058823529 d= 66.51 Cmey= 0.0021

Falla Fragil E= 2000000 Kg/Cm2

27.39 2.73854412

C C d11 0 01 2.73854412 41.8606029411763 5.47708824 44.5991470588244 8.21563235 47.3376911764715 10.9541765 50.0762352941186 13.6927206 52.8147794117657 16.4312647 55.5533235294128 19.1698088 58.2918676470599 21.9083529 61.030411764706

10 24.6468971 63.76895588235311 27.3854412 66.5075

Centro plastico:C= 41.861Acero:di Ai e si F brazo

1 3.49 10.13 -0.002750 -4,200.00 -42,563.43 32.402 10.49 5.70 -0.002248 -4,200.00 -23,941.93 25.403 17.50 0.00 -0.001746 -3,492.27 0.00 18.404 24.50 0.00 -0.001244 -2,488.70 0.00 11.405 23.33 10.13 -0.001328 -2,655.57 -26,911.91 12.566 46.67 10.13 0.000344 688.87 6,981.08 -10.777 53.67 0.00 0.000846 1,692.44 0.00 -17.778 60.67 0.00 0.001348 2,696.00 0.00 -24.779 67.67 5.70 0.001850 3,699.57 21,089.27 -31.78

10 66.51 10.13 0.001766 3,532.71 35,801.01 -30.61-29,545.90

Concreto: a= 35.5815125 cmb= 70 cmfc= 280 Kg/cm2 brazo=Pc= -592,788.00 M=

P= -622,333.90 M= -14,899,424.24622.33 M= 148.99

C= 44.599Acero:di Ai e si F brazo

3.49 10.13 -0.002765 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002294 -4,200.00 -23,941.93 25.40

Page 16: diseño de Columna

17.50 0.00 -0.001823 -3,646.26 0.00 18.4024.50 0.00 -0.001352 -2,704.31 0.00 11.4023.33 10.13 -0.001430 -2,860.93 -28,993.06 12.5646.67 10.13 0.000139 278.15 2,818.78 -10.7753.67 0.00 0.000610 1,220.09 0.00 -17.7760.67 0.00 0.001081 2,162.04 0.00 -24.7767.67 5.70 0.001552 3,103.99 17,694.14 -31.7866.51 10.13 0.001474 2,947.37 29,869.07 -30.61

-45,116.41Concreto: a= 37.909275 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -631,568.52 M=

P= -676,684.94 M= -14,558,343.98676.68 M= 145.58

C= 47.338Acero:di Ai e si F brazo

3.49 10.13 -0.002779 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002335 -4,200.00 -23,941.93 25.4017.50 0.00 -0.001891 -3,782.42 0.00 18.4024.50 0.00 -0.001447 -2,894.97 0.00 11.4023.33 10.13 -0.001521 -3,042.53 -30,833.41 12.5646.67 10.13 -0.000043 -85.05 -861.93 -10.7753.67 0.00 0.000401 802.40 0.00 -17.7760.67 0.00 0.000845 1,689.86 0.00 -24.7767.67 5.70 0.001289 2,577.31 14,691.84 -31.7866.51 10.13 0.001215 2,429.75 24,623.47 -30.61

-58,885.38Concreto: a= 40.2370375 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -670,349.04 M=

P= -729,234.42 M= -14,162,645.59729.23 M= 141.63

C= 50.076Acero:di Ai e si F brazo

3.49 10.13 -0.002791 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002371 -4,200.00 -23,941.93 25.4017.50 0.00 -0.001952 -3,903.70 0.00 18.4024.50 0.00 -0.001532 -3,064.78 0.00 11.4023.33 10.13 -0.001602 -3,204.26 -32,472.48 12.5646.67 10.13 -0.000204 -408.53 -4,140.06 -10.77

Page 17: diseño de Columna

53.67 0.00 0.000215 430.40 0.00 -17.7760.67 0.00 0.000635 1,269.32 0.00 -24.7767.67 5.70 0.001054 2,108.24 12,017.92 -31.7866.51 10.13 0.000984 1,968.75 19,951.61 -30.61

-71,148.36Concreto: a= 42.5648 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -709,129.57 M=

P= -780,277.93 M= -13,706,479.64780.28 M= 137.06

C= 52.815Acero:di Ai e si F brazo

3.49 10.13 -0.002802 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002404 -4,200.00 -23,941.93 25.4017.50 0.00 -0.002006 -4,012.39 0.00 18.4024.50 0.00 -0.001608 -3,216.97 0.00 11.4023.33 10.13 -0.001675 -3,349.23 -33,941.57 12.5646.67 10.13 -0.000349 -698.45 -7,078.23 -10.7753.67 0.00 0.000048 96.97 0.00 -17.7760.67 0.00 0.000446 892.39 0.00 -24.7767.67 5.70 0.000844 1,687.81 9,621.29 -31.7866.51 10.13 0.000778 1,555.56 15,764.23 -30.61

-82,139.63Concreto: a= 44.8925625 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -747,910.09 M=

P= -830,049.72 M= -13,185,209.90830.05 M= 131.85

C= 55.553Acero:di Ai e si F brazo

3.49 10.13 -0.002811 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002433 -4,200.00 -23,941.93 25.4017.50 0.00 -0.002055 -4,110.37 0.00 18.4024.50 0.00 -0.001677 -3,354.16 0.00 11.4023.33 10.13 -0.001740 -3,479.90 -35,265.81 12.5646.67 10.13 -0.000480 -959.80 -9,726.73 -10.7753.67 0.00 -0.000102 -203.59 0.00 -17.7760.67 0.00 0.000276 552.62 0.00 -24.7767.67 5.70 0.000654 1,308.83 7,460.95 -31.7866.51 10.13 0.000592 1,183.10 11,989.70 -30.61

Page 18: diseño de Columna

-92,047.25Concreto: a= 47.220325 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -786,690.61 M=

P= -878,737.87 M= -12,595,114.34878.74 M= 125.95

C= 58.292Acero:di Ai e si F brazo

3.49 10.13 -0.002820 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002460 -4,200.00 -23,941.93 25.4017.50 0.00 -0.002100 -4,199.15 0.00 18.4024.50 0.00 -0.001739 -3,478.46 0.00 11.4023.33 10.13 -0.001799 -3,598.29 -36,465.64 12.5646.67 10.13 -0.000598 -1,196.59 -12,126.38 -10.7753.67 0.00 -0.000238 -475.90 0.00 -17.7760.67 0.00 0.000122 244.78 0.00 -24.7767.67 5.70 0.000483 965.47 5,503.60 -31.7866.51 10.13 0.000423 845.64 8,569.82 -30.61

-101,023.96Concreto: a= 49.5480875 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -825,471.14 M=

P= -926,495.09 M= -11,933,170.36926.50 M= 119.33

C= 61.030Acero:di Ai e si F brazo

3.49 10.13 -0.002828 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002484 -4,200.00 -23,941.93 25.4017.50 0.00 -0.002140 -4,200.00 0.00 18.4024.50 0.00 -0.001796 -3,591.61 0.00 11.4023.33 10.13 -0.001853 -3,706.06 -37,557.78 12.5646.67 10.13 -0.000706 -1,412.12 -14,310.67 -10.7753.67 0.00 -0.000362 -723.78 0.00 -17.7760.67 0.00 -0.000018 -35.43 0.00 -24.7767.67 5.70 0.000326 652.91 3,721.90 -31.7866.51 10.13 0.000269 538.46 5,456.85 -30.61

-109,195.06Concreto: a= 51.87585 cm

b= 70 cmfc= 280 Kg/cm2 brazo=

Page 19: diseño de Columna

Pc= -864,251.66 M=

P= -973,446.72 M= -11,196,897.88973.45 M= 111.97

C= 63.769Acero:di Ai e si F brazo

3.49 10.13 -0.002836 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002506 -4,200.00 -23,941.93 25.4017.50 0.00 -0.002177 -4,200.00 0.00 18.4024.50 0.00 -0.001848 -3,695.04 0.00 11.4023.33 10.13 -0.001902 -3,804.57 -38,556.13 12.5646.67 10.13 -0.000805 -1,609.15 -16,307.35 -10.7753.67 0.00 -0.000475 -950.36 0.00 -17.7760.67 0.00 -0.000146 -291.58 0.00 -24.7767.67 5.70 0.000184 367.20 2,093.24 -31.7866.51 10.13 0.000129 257.67 2,611.25 -30.61

-116,664.35Concreto: a= 54.2036125 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -903,032.18 M=

P= ### M= -10,384,242.861,019.70 M= 103.84

C= 66.508Acero:di Ai e si F brazo

3.49 10.13 -0.002842 -4,200.00 -42,563.43 32.4010.49 5.70 -0.002527 -4,200.00 -23,941.93 25.4017.50 0.00 -0.002211 -4,200.00 0.00 18.4024.50 0.00 -0.001895 -3,789.95 0.00 11.4023.33 10.13 -0.001947 -3,894.97 -39,472.25 12.5646.67 10.13 -0.000895 -1,789.95 -18,139.61 -10.7753.67 0.00 -0.000579 -1,158.29 0.00 -17.7760.67 0.00 -0.000263 -526.63 0.00 -24.7767.67 5.70 0.000053 105.03 598.69 -31.7866.51 10.13 0.000000 0.00 0.00 -30.61

-123,518.52Concreto: a= 56.531375 cm

b= 70 cmfc= 280 Kg/cm2 brazo=Pc= -941,812.71 M=

P= ### M= -9,493,489.551,065.33 M= 94.93

Page 20: diseño de Columna

35.89625

momento-1,379,214.69

-608,174.860.000.00

-338,092.07-75,189.14

0.000.00

-670,120.29-1,095,913.80-4,166,704.84

18.10549375-10,732,719.40

momento-1,379,214.69

-608,174.86

Page 21: diseño de Columna

0.000.00

-364,237.36-30,359.47

0.000.00

-562,238.80-914,329.64

-3,858,554.82

16.9416125-10,699,789.16

momento-1,379,214.69

-608,174.860.000.00

-387,357.589,283.30

0.000.00

-466,839.47-753,755.22

-3,586,058.52

15.77773125-10,576,587.07

momento-1,379,214.69

-608,174.860.000.00

-407,949.0344,590.14

Page 22: diseño de Columna

0.000.00

-381,874.44-610,743.63

-3,343,366.50

14.61385-10,363,113.14

momento-1,379,214.69

-608,174.860.000.00

-426,405.0676,235.53

0.000.00

-305,720.60-482,562.87

-3,125,842.55

13.44996875-10,059,367.36

momento-1,379,214.69

-608,174.860.000.00

-443,041.49104,760.95

0.000.00

-237,074.88-367,019.65

Page 23: diseño de Columna

-2,929,764.61

12.2860875-9,665,349.73

momento-1,379,214.69

-608,174.860.000.00

-458,114.76130,606.13

0.000.00

-174,879.10-262,332.83

-2,752,110.11

11.12220625-9,181,060.25

momento-1,379,214.69

-608,174.860.000.00

-471,835.30154,131.87

0.000.00

-118,264.99-167,040.99

-2,590,398.96

9.958325

Page 24: diseño de Columna

-8,606,498.92

momento-1,379,214.69

-608,174.860.000.00

-484,377.40175,637.00

0.000.00

-66,513.44-79,933.73

-2,442,577.11

8.79444375-7,941,665.75

momento-1,379,214.69

-608,174.860.000.00

-495,886.61195,371.11

0.000.00

-19,023.780.00

-2,306,928.83

7.6305625-7,186,560.73

Page 25: diseño de Columna

Cb= 39.122058823529 d= 66.51 Cmey= 0.0021

Falla Fragil E= 2000000 Kg/Cm2

27.39 2.73854412

C C d11 0 01 2.73854412 41.8606029411763 5.47708824 44.5991470588244 8.21563235 47.3376911764715 10.9541765 50.0762352941186 13.6927206 52.8147794117657 16.4312647 55.5533235294128 19.1698088 58.2918676470599 21.9083529 61.030411764706

10 24.6468971 63.76895588235311 27.3854412 66.5075

Centro plastico:C= 39.122Acero:di Ai e si F brazo

1 3.49 10.13 -0.002732 -4,200.00 -42,563.43 32.402 10.49 5.70 -0.002195 -4,200.00 -23,941.93 25.403 17.50 0.00 -0.001658 -3,316.73 0.00 18.404 24.50 0.00 -0.001121 -2,242.91 0.00 11.405 23.33 10.13 -0.001211 -2,421.46 -24,539.40 12.566 46.67 10.13 0.000579 1,157.09 11,726.10 -10.777 53.67 0.00 0.001115 2,230.91 0.00 -17.778 60.67 0.00 0.001652 3,304.73 0.00 -24.779 67.67 5.70 0.002189 4,200.00 23,941.93 -31.78

10 66.51 10.13 0.002100 4,200.00 42,563.43 -30.61-12,813.30

Concreto: a= 33.25375 cmb= 70 cmfc= 280 Kg/cm2 brazo=Pc= -554,007.48 M=

P= -566,820.78 M= -15,161,033.23566.82 M= 151.61

Page 26: diseño de Columna
Page 27: diseño de Columna
Page 28: diseño de Columna
Page 29: diseño de Columna
Page 30: diseño de Columna

35.89625

momento-1,379,214.69

-608,174.860.000.00

-308,286.43-126,294.96

0.000.00

-760,764.75-1,302,919.74-4,485,655.44

19.269375-10,675,377.79

Page 31: diseño de Columna
Page 32: diseño de Columna
Page 33: diseño de Columna
Page 34: diseño de Columna
Page 35: diseño de Columna

TABAL RESUMEN 823.680854

M P P FM FP0 1384.33757 1384.33757 0 969.036299 823.680854

10 94.93 1,065.33 1,065.33 66.4544269 745.731859 745.7318599 103.84 1,019.70 1,019.70 72.6897 713.787572 713.7875728 111.97 973.45 973.45 78.3782852 681.412703 681.4127037 119.33 926.50 926.50 83.5321925 648.546565 648.5465656 125.95 878.74 878.74 88.1658004 615.116506 615.1165065 131.85 830.05 830.05 92.2964693 581.034805 581.0348054 137.06 780.28 780.28 95.9453575 546.194552 546.1945523 141.63 729.23 729.23 99.1385191 510.464097 510.4640972 145.58 676.68 676.68 101.908408 473.679455 473.6794551 148.99 622.33 622.33 104.29597 435.633731 435.633731

B 151.61 566.82 566.82 106.127233 396.774543 396.7745439 149.59 499.33 499.33 104.710894 349.532071 349.5320718 145.51 427.61 427.61 101.853568 299.32891 299.328917 139.57 351.39 351.39 97.7018153 245.975168 245.9751686 130.02 285.17 285.17 91.0156901 199.621294 199.6212945 117.97 214.63 214.63 82.5808641 150.23808 150.238084 102.93 136.51 136.51 72.05301 95.5535211 95.55352113 85.96 60.75 60.75 60.1691206 42.5279387 42.52793872 63.91 -18.84 0 44.7347867 0 01 34.87 -113.65 0 24.4100946 0 0

cierre 0 0 0 0 0

Lnea0 0

106.127233 396.774543

0 20 40 60 80 100 1200

100

200

300

400

500

600

700

800

900

Iteraccion FactoradoLinea

M (tn-m)

P(Tn

)

Page 36: diseño de Columna

CURVA de ITERACCION

0 20 40 60 80 100 1200

100

200

300

400

500

600

700

800

900

Iteraccion FactoradoLinea

M (tn-m)

P(Tn

)

Page 37: diseño de Columna

Story Column Load Loc P V2 V3 TSOTANO2 C14 COMB1 0 -243.84 -0.68 -0.01 0SOTANO2 C14 COMB1 1.25 -243.05 -0.68 -0.01 0SOTANO2 C14 COMB1 2.5 -242.26 -0.68 -0.01 0SOTANO2 C14 COMB2 MAX 0 -205.89 -0.47 0 0SOTANO2 C14 COMB2 MAX 1.25 -205.19 -0.47 0 0SOTANO2 C14 COMB2 MAX 2.5 -204.49 -0.47 0 0SOTANO2 C14 COMB2 MIN 0 -208.06 -0.67 -0.03 0SOTANO2 C14 COMB2 MIN 1.25 -207.36 -0.67 -0.03 0SOTANO2 C14 COMB2 MIN 2.5 -206.65 -0.67 -0.03 0SOTANO2 C14 COMB3 MAX 0 -206.77 -0.56 0.08 0SOTANO2 C14 COMB3 MAX 1.25 -206.07 -0.56 0.08 0SOTANO2 C14 COMB3 MAX 2.5 -205.36 -0.56 0.08 0SOTANO2 C14 COMB3 MIN 0 -207.18 -0.59 -0.1 0SOTANO2 C14 COMB3 MIN 1.25 -206.48 -0.59 -0.1 0SOTANO2 C14 COMB3 MIN 2.5 -205.78 -0.59 -0.1 0SOTANO2 C14 COMB4 MAX 0 -112.74 -0.28 0.08 0SOTANO2 C14 COMB4 MAX 1.25 -112.24 -0.28 0.08 0SOTANO2 C14 COMB4 MAX 2.5 -111.73 -0.28 0.08 0SOTANO2 C14 COMB4 MIN 0 -113.16 -0.31 -0.09 0SOTANO2 C14 COMB4 MIN 1.25 -112.65 -0.31 -0.09 0SOTANO2 C14 COMB4 MIN 2.5 -112.14 -0.31 -0.09 0SOTANO2 C14 COMB5 MAX 0 -111.87 -0.2 0.01 0SOTANO2 C14 COMB5 MAX 1.25 -111.36 -0.2 0.01 0SOTANO2 C14 COMB5 MAX 2.5 -110.85 -0.2 0.01 0SOTANO2 C14 COMB5 MIN 0 -114.03 -0.4 -0.02 0SOTANO2 C14 COMB5 MIN 1.25 -113.52 -0.4 -0.02 0SOTANO2 C14 COMB5 MIN 2.5 -113.02 -0.4 -0.02 0

Page 38: diseño de Columna

M2 M3 M P0 0 0 243.84

0.018 0.847 0.847 243.050.037 1.693 1.693 242.26

0 0 0 205.890.035 0.843 0.843 205.19

0.07 1.685 1.685 204.490 0 0 208.06

-0.004 0.585 0.585 207.36-0.008 1.17 1.17 206.65

0 0 0 206.770.126 0.732 0.732 206.070.252 1.464 1.464 205.36

0 0 0 207.18-0.095 0.696 0.696 206.48-0.189 1.391 1.391 205.78

0 0 0 112.740.118 0.391 0.391 112.240.237 0.782 0.782 111.73

0 0 0 113.16-0.102 0.354 0.354 112.65-0.204 0.709 0.709 112.14

0 0 0 111.870.028 0.501 0.501 111.360.056 1.003 1.003 110.85

0 0 0 114.03-0.011 0.244 0.244 113.52-0.023 0.488 0.488 113.02

Page 39: diseño de Columna

HOJA DE METRADOS DE ESTRUCTURAS

Proyecto PIP MAYOR MEJORAMIENTO DE LOS SERVICIOS DE CULTURA, DEPORTE Y RECREACIÓN

EN EL PARQUE ZONAL HUÁSCAR DEL DISTRITO DE VILLA EL SALVADOR-LIMA

INFRAESTRUCTURA DEPORTIVA EN EL PARQUE ZONAL HUASCAR

Propietario MUNICIPALIDAD METROPOLITANA DE LIMA

SERVICIO DE PARQUES-SERPAR

Ubicación

Partida 04.00 CONCRETO ARMADO

04.01 Zapata

Descripción. Cant. Concreto m3 Encofrado m2

Largo Ancho Altura Subtotal. Cant Largo

100 25.00

65 20.00

a b c

24.00 65 10.00

a b c

65.00 65 10.00

120 25.00

100 25.00

85 20.00

a b c

40.00 85 10.00

a b c

85.00 85 10.00

120 25.00

Page 40: diseño de Columna

Total m3 214.00

04.02 Muro de contension

Descripción. Cant. Concreto m3 Encofrado m2

Largo Ancho Altura Subtotal. Cant Largo

1-1 1 37.56 0.25 3.05 28.64 2 37.56

2-2 1 50.44 0.20 3.70 37.33 2 50.44

Total m3 65.97

04.03 Columnas

Descripción. Cant. Concreto m3 Encofrado m2

Largo Ancho Altura Subtotal. Cant Largo

C-1 14 3.24 0.25 0.35 3.97 14 3.24

14

14

C-2 14 6.70 0.25 0.35 8.21 14 6.70

14

14

Total m3 12.18

04.04 Vigas

Descripción. Cant. Concreto m3 Encofrado m2

Largo Ancho Altura Subtotal. Cant Largo

PORTICO-1 14 Area: 3.38 0.30 14.20 3.38 2.00

14

14

14

Page 41: diseño de Columna

Viga Vd 1 50.44 0.33 0.65 10.82 50.44 2.25

1 50.44 0.77 0.15 5.83

1

1

Total m3 30.84

04.05 Galerias

Descripción. Cant. Concreto m3 Encofrado m2

Largo Ancho Altura Subtotal. Cant Largo

4 60 0.65 0.25 39 60

4 60 0.2 0.5 24

Total m3 63.00

Page 42: diseño de Columna

Encofrado m2 Acero Pieza Long Long Factor

total

Kg

Alt/Anch. Sub total. x elem. x pieza Total

150.00 3/4'' 12 1.50 18 2.26 40.68

105.00 1/2'' 7 1.05 7.35 1.02 7.50

198.00 3/8'' 7 1.98 13.86 0.60 8.32

280.00 3/8'' 8 2.80 22.4 0.60 13.44

170.00 3/8'' 12 1.70 20.4 0.60 12.24

150.00 3/4'' 12 1.50 18 2.26 40.68

125.00 1/2'' 7 1.25 8.75 1.02 8.93

270.00 3/8'' 7 2.70 18.9 0.60 11.34

360.00 3/8'' 7 3.60 25.2 0.60 15.12

170.00 3/8'' 12 1.70 20.4 0.60 12.24

Page 43: diseño de Columna

m2 1,978.00 Kg 170.48

Encofrado m2 Acero Pieza Long Long Factor

total

Kg

Alt/Anch. Sub total. x elem. x pieza Total

3.05 229.12 5/8'' 187.8 3.95 741.81 1.65 1,223.99

1/2'' 187.8 3.95 741.81 1.02 756.65

1/2'' 26 38.06 989.56 1.02 1,009.35

3.05 307.68 1/2'' 252.2 4.50 1134.9 1.02 1,157.60

1/2'' 252.2 4.50 1134.9 1.02 1,157.60

3/8'' 30 50.94 1528.2 0.60 916.92

m2 536.80 Kg 6,222.10

Encofrado m2 Acero Pieza Long Long Factor

total

Kg

Alt/Anch. Sub total. x elem. x pieza Total

1.20 54.43 1/2'' 6 4.22 354.48 1.02 361.57

3/8'' 26 0.70 254.8 0.60 152.88

3/8'' 26 0.70 254.8 0.60 152.88

1.20 112.56 1/2'' 6 7.56 635.04 1.02 647.74

3/8'' 52 0.70 509.6 0.60 305.76

3/8'' 52 0.70 509.6 0.60 305.76

m2 166.99 Kg 1,926.59

Encofrado m2 Acero Pieza Long Long Factor

total

Kg

Alt/Anch. Sub total. x elem. x pieza Total

0.30 111.44 1/2'' 2 5.76 161.28 1.02 164.51

1/2'' 2 5.76 161.28 1.02 164.51

3/8'' 40 1.20 672 0.60 403.20

3/8'' 5 2.35 164.5 0.60 98.70

Page 44: diseño de Columna

113.49 5/8'' 4 50.94 203.76 1.65 336.20

3/8'' 8 50.94 407.52 0.60 244.51

3/8'' 336.266666667 1.70 571.65333333 0.60 342.99

3/8'' 336.266666667 2.31 776.776 0.60 466.07

m2 224.93 Kg 2,220.68

Encofrado m2 Acero Pieza Long Long Factor

total

Kg

Alt/Anch. Sub total. x elem. x pieza Total

5.57 334.2 5/8'' 16.00 60.25 964.00 1.65 1,590.60

3/8'' 34.00 60.25 2,048.50 0.60 1,229.10

3/8'' 400.00 1.60 640.00 0.60 384.00

1/4'' 400.00 2.15 860.00 0.25 215.00

m2 334.20 Kg 3,418.70

Page 45: diseño de Columna

1/4'' 3/8'' 1/2'' 5/8'' 3/4'' 1 ''

40.68

7.50

8.32

12.24

40.68

8.93

11.34

15.12

12.24

Page 46: diseño de Columna

- 59.26 16.42 - 81.36 - 157.04

1/4'' 3/8'' 1/2'' 5/8'' 3/4'' 1 ''

1,223.99

756.65

1,009.35

1,157.60

1,157.60

916.92

0.00 916.92 4,081.19 1,223.99 0.00 0.00 6,222.10

1/4'' 3/8'' 1/2'' 5/8'' 3/4'' 1 ''

361.57

152.88

152.88

647.74

305.76

305.76

- 917.28 1,009.31 - - - 1,926.59

1/4'' 3/8'' 1/2'' 5/8'' 3/4'' 1 ''

164.51

164.51

403.20

98.70

Page 47: diseño de Columna

336.20

244.51

342.99

466.07

0.00 1,555.47 329.01 336.20 0.00 0.00 2,220.68

1/4'' 3/8'' 1/2'' 5/8'' 3/4'' 1 ''

1,590.60

1,229.10

384.00

215.00

215.00 1,613.10 - 1,590.60 - - 3,418.70

Page 48: diseño de Columna

0.73 kg/m3

94.32 kg/m3

158.22

Page 49: diseño de Columna

72.00383902

54.26507937