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Diseño Columnas Con Dinter

Jul 07, 2018

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Richard Peralta
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    96 46.37 0.9 -22.7 4.9 -25.22 5.44 omega 0.19

    97 47.076 0.9 -31.5 3.1 -35.00 3.44 'eta 0.65

    98 47.782 0.9 -37.3 1.8 -41.44 2.00

    99 48.488 0.9 -39.7 1.3 -44.11 1.44 relacio" 0.50

    100 49.194 0.9 -42.2 0.7 -46.89 0.78 OK

    101 49.9 0.9 -44.6 0.1 -49.56 0.11

    102 1000000 0.9 -44.9 0 -49.89 0.00

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    :;mite )$perior s mi" 0.01g 12.50 cm<

    216.72 o" 0.00 o".m s max 0.08g 100.00 cm<

    216.72 o" 20.57 o".m 25

    )olicitaci%" de =ise&o 1.98 1.98 3.96

    50

    0.00 o" 0.00 o".m 0

    56.88 o" 7.77 o".m 1.98 1.98 3.96

    0

    4.5 cm   1.98 1.98 3.96nes   5.94 0 0 5.94 11.88

    afectada por factores de carga

      de x última

      de # última

    oniendo un comortamiento controlado or comresi!n.  

    de resiste"cia

      ise&o. !ome"to "omi"al 'iaxial e" x

      ise&o !ome"to "omi"al 'iaxial e" #

      "teo i"icial (*aria de 0.55 a 0.70

      "teo i"icial

    unia&ial

    12.5

      "iaxial e" x 6.313131313

      "iaxial e" #

    "o# !"ox

    condici!n unia&ial

    D36  

    ci!n $unto P M Descrici!n o" o".m

    1 271 0 o

    4 180.86 7.86 crec$'rimie"to

    2 89.29 10.57 carga 'ala"ceada

    5

    6

    3 0.00 4.89 cerca de !o

      res mtodos

    ome"to cero

    do solo act$a !"x e" la col$m"a se o'tie"e del diagrama de i"teraccio"

    do solo act$a !"# e" la col$m"a se o'tie"e del diagrama de i"teraccio"

    0 o".m 25.00 o".m 0.00 o".m 5.00 o".m 10.00 o".m 15.00 o".m

    -100.00 o"

    -50.00 o"

    0.00 o"

    50.00 o"

    100.00 o"

    150.00 o"

    200.00 o"

    250.00 o"

    300.00 o"

    (  M nx M nox

     )α 

    +(  M ny M noy

     ) β

    =1.0

     M noy≈ M nxbh (

    1− β β  )+ M ny

     Pn≤1

    1

     Pox

    +  1

     Poy

    −  1

     Po

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     Mun(Ton-mt) Pn(Ton) ".$ Mun(Ton-mt) recub. Puntos

    0.00 270.86 270.86 0.00 270.86 0.00 4.5

    1.71 261.29 261.29 1.71 261.29 1.71 4.5

    1.71 261.00 261.00 1.71 261.00 1.71 4.5

    1.71 260.71 260.71 1.71 260.71 1.71 4.5

    1.86 260.43 260.43 1.86 260.43 1.86 4.5

    1.86 260.29 260.29 1.86 260.29 1.86 4.5 1.86 260.00 260.00 1.86 260.00 1.86 4.5

    1.86 259.71 259.71 1.86 259.71 1.86 4.5

    2.00 259.43 259.43 2.00 259.43 2.00 4.5

    2.00 259.14 259.14 2.00 259.14 2.00 4.5

    2.00 258.86 258.86 2.00 258.86 2.00 4.5

    2.00 258.57 258.57 2.00 258.57 2.00 4.5

    2.14 258.29 258.29 2.14 258.29 2.14 4.5

    2.14 258.00 258.00 2.14 258.00 2.14 4.5

    2.14 257.57 257.57 2.14 257.57 2.14 4.5

    2.29 257.29 257.29 2.29 257.29 2.29 4.5

    2.29 257.00 257.00 2.29 257.00 2.29 4.5

    2.43 258.29 258.29 2.43 258.29 2.43 4.5

    3.14 255.29 255.29 3.14 255.29 3.14 4.5

    3.86 252.29 252.29 3.86 252.29 3.86 4.5

    4.43 249.14 249.14 4.43 249.14 4.43 4.5

    5.14 246.14 246.14 5.14 246.14 5.14 4.5

    5.86 243.00 243.00 5.86 243.00 5.86 4.5

    6.43 240.00 240.00 6.43 240.00 6.43 4.5 -4.467 4.467

    7.00 236.86 236.86 7.00 236.86 7.00 4.5 -3.761 3.761

    7.71 233.86 233.86 7.71 233.86 7.71 4.5 -3.055 3.055

    8.29 230.71 230.71 8.29 230.71 8.29 4.5 -2.348 2.348

    8.86 227.57 227.57 8.86 227.57 8.86 4.5 -1.642 1.642

    9.43 224.43 224.43 9.43 224.43 9.43 4.5 -0.936 0.936

    9.86 221.29 221.29 9.86 221.29 9.86 4.5 -0.23 0.23

    10.43 218.14 218.14 10.43 218.14 10.43 4.5 0.476 0.476

    11.00 215.00 215.00 11.00 215.00 11.00 4.5 1.182 1.182

    11.43 211.86 211.86 11.43 211.86 11.43 4.5 1.888 1.888 12.00 208.57 208.57 12.00 208.57 12.00 4.5 2.594 2.594

    12.43 205.43 205.43 12.43 205.43 12.43 4.5 3.3 3.3

    12.86 202.14 202.14 12.86 202.14 12.86 4.5 4.006 4.006

    13.29 199.00 199.00 13.29 199.00 13.29 4.5

    13.71 195.71 195.71 13.71 195.71 13.71 4.5

    14.14 192.43 192.43 14.14 192.43 14.14 4.5

    14.57 189.14 189.14 14.57 189.14 14.57 4.5

    15.00 185.71 185.71 15.00 185.71 15.00 4.5

    15.29 182.43 182.43 15.29 182.43 15.29 4.5

    15.71 179.00 179.00 15.71 179.00 15.71 4.5

    16.00 175.71 175.71 16.00 175.71 16.00 4.5

    16.43 172.29 172.29 16.43 172.29 16.43 4.5

    16.71 168.86 168.86 16.71 168.86 16.71 4.5

    17.00 165.29 165.29 17.00 165.29 17.00 4.5 17.29 161.86 161.86 17.29 161.86 17.29 4.5

    17.57 158.29 158.29 17.57 158.29 17.57 4.5

    17.86 154.71 154.71 17.86 154.71 17.86 4.5

    18.14 151.14 151.14 18.14 151.14 18.14 4.5

    18.43 147.43 147.43 18.43 147.43 18.43 4.5

    18.71 143.86 143.86 18.71 143.86 18.71 4.5

    18.86 140.14 140.14 18.86 140.14 18.86 4.5

    19.14 136.29 136.29 19.14 136.29 19.14 4.5

    19.29 132.43 132.43 19.29 132.43 19.29 4.5

    19.57 128.57 128.57 19.57 128.57 19.57 4.5

    19.71 124.71 124.71 19.71 124.71 19.71 4.5

    20.00 120.71 120.71 20.00 120.71 20.00 4.5

    20.14 116.71 116.71 20.14 116.71 20.14 4.5

    20.29 112.57 112.57 20.29 112.57 20.29 4.5

    20.43 108.43 108.43 20.43 108.43 20.43 4.5

    20.57 104.14 104.14 20.57 4.5

    20.57 100.57 100.57 20.57 4.5

    20.57 97.29 97.29 20.57 4.5

    20.43 94.00 94.00 20.43 4.5

    20.29 90.57 90.57 20.29 4.5

    20.14 87.14 87.14 20.14 4.5

    20.00 83.71 83.71 20.00 4.5

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    5.44 -25.22 25.22 5.44 4.5

    3.44 -35.00 35.00 3.44 4.5

    2.00 -41.44 41.44 2.00 4.5

    1.44 -44.11 44.11 1.44 4.5

    0.78 -46.89 46.89 0.78 4.5

    0.11 -49.56 49.56 0.11 4.5

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    &.& Mun(Ton-mt) Pn(Ton)

    8mm 0.500 cm

    12mm 1.130 cm

    3/8 plg 0.710 cm

    1/2 plg 1.270 cm

    5/8 plg 1.980 cm

    3/4 plg 2.850 cm

    7/8 plg 3.880 cm

    1 plg 5.070 cm

    0.033 6.43 240.00

    0.739 7.00 236.86

    1.445 7.71 233.86

    2.152 8.29 230.71

    2.858 8.86 227.57

    3.564 9.43 224.434.27 9.86 221.29

    4.024 10.43 218.14

    3.318 11.00 215.00

    2.612 11.43 211.86

    1.906 12.00 208.57

    1.2 12.43 205.43

    0.494 12.86 202.14

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    12.86 202.14

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    Phi Pu(Ton) Mu(Ton-mt) Pn(Ton)

    1 -1000000 0.7 189.6 0 270.86

    2 -10 0.7 182.5 0.6 260.71

    3 -9.647 0.7 182.4 0.6 260.57

    4 -9.295 0.7 182.2 0.6 260.29

    5 -8.942 0.7 182 0.6 260.00

    6 -8.59 0.7 181.9 0.6 259.86

    7 -8.237 0.7 181.7 0.6 259.57

    8 -7.885 0.7 181.6 0.6 259.43

    9 -7.532 0.7 181.4 0.7 259.14

    10 -7.18 0.7 181.2 0.7 258.86

    11 -6.827 0.7 181 0.7 258.57

    12 -6.475 0.7 180.9 0.7 258.43

    13 -6.122 0.7 180.7 0.7 258.14

    14 -5.77 0.7 180.5 0.7 257.86

    15 -5.417 0.7 180.3 0.7 257.5716 -5.065 0.7 180.1 0.8 257.29

    17 -4.712 0.7 179.9 0.8 257.00

    18 -4.36 0.7 180.9 0.8 258.43

    19 -4.007 0.7 178.8 1.1 255.43

    20 -3.655 0.7 176.7 1.3 252.43

    21 -3.302 0.7 174.6 1.6 249.43

    22 -2.949 0.7 172.5 1.8 246.43

    23 -2.597 0.7 170.4 2 243.43

    24 -2.244 0.7 168.3 2.2 240.43

    25 -1.892 0.7 166.2 2.5 237.4326 -1.539 0.7 164.1 2.7 234.43

    27 -1.187 0.7 161.9 2.9 231.29

    28 -0.834 0.7 159.8 3.1 228.29

    29 -0.482 0.7 157.7 3.3 225.29

    30 -0.129 0.7 155.5 3.5 222.14

    31 0.223 0.7 153.3 3.6 219.00

    32 0.576 0.7 151.2 3.8 216.00

    33 0.928 0.7 149 4 212.86

    34 1.281 0.7 146.8 4.2 209.71

    35 1.633 0.7 144.6 4.3 206.5736 1.986 0.7 142.4 4.5 203.43

    37 2.338 0.7 140.2 4.7 200.29

    38 2.691 0.7 138 4.8 197.14

    39 3.043 0.7 135.7 5 193.86

    40 3.396 0.7 133.5 5.1 190.71

    41 3.748 0.7 131.2 5.2 187.43

    42 4.101 0.7 128.9 5.4 184.14

    43 4.454 0.7 126.6 5.5 180.86

    44 4.806 0.7 124.3 5.6 177.57

    45 5.159 0.7 122 5.7 174.2946 5.511 0.7 119.7 5.9 171.00

    47 5.864 0.7 117.3 6 167.57

    Punto #.

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    48 6.216 0.7 114.9 6.1 164.14

    49 6.569 0.7 112.5 6.2 160.71

    50 6.921 0.7 110.1 6.3 157.29

    51 7.274 0.7 107.7 6.4 153.86

    52 7.626 0.7 105.2 6.5 150.29

    53 7.979 0.7 102.8 6.6 146.86

    54 8.331 0.7 100.2 6.6 143.1455 8.684 0.7 97.7 6.7 139.57

    56 9.036 0.7 95.1 6.8 135.86

    57 9.389 0.7 92.6 6.9 132.29

    58 9.741 0.7 89.9 7 128.43

    59 10.094 0.7 87.2 7 124.57

    60 10.446 0.7 84.3 7.1 120.43

    61 10.799 0.7 81.4 7.1 116.29

    62 11.152 0.7 78.4 7.2 112.00

    63 11.504 0.7 75.4 7.2 107.71

    64 11.857 0.7 72.2 7.3 103.1465 12.209 0.7 69.1 7.3 98.71

    66 12.562 0.7 65.8 7.3 94.00

    67 12.914 0.7 62.5 7.4 89.29

    68 13.267 0.7 60.2 7.3 86.00

    69 13.619 0.7 58.1 7.2 83.00

    70 13.972 0.7 55.9 7.2 79.86

    71 14.324 0.7 53.7 7.1 76.71

    72 14.677 0.7 51.4 7 73.43

    73 15.029 0.7 49.2 6.9 70.29

    74 15.382 0.7 46.9 6.8 67.00

    75 15.734 0.7 44.6 6.6 63.71

    76 16.087 0.7 42.2 6.5 60.29

    77 16.439 0.7 39.8 6.4 56.86

    78 16.792 0.7 37.4 6.2 53.43

    79 17.144 0.7 34.9 6.1 49.86

    80 17.497 0.7 32.4 5.9 46.29

    81 17.849 0.7 29.8 5.7 42.57

    82 18.202 0.7 27.1 5.5 38.71

    83 18.555 0.7 24.3 5.3 34.71

    84 18.907 0.7 21.4 5.1 30.57

    85 19.26 0.7 18.4 4.9 26.29

    86 19.612 0.73 16 4.9 21.92

    87 19.965 0.77 13.1 4.8 17.01

    88 20.317 0.81 9.7 4.7 11.98

    89 20.67 0.85 5.5 4.6 6.47

    90 21.022 0.9 0.5 4.4 0.56

    91 21.375 0.9 -5.4 3.9 -6.00

    92 21.727 0.9 -12.1 3.3 -13.44

    93 22.08 0.9 -19.9 2.7 -22.11

    94 22.432 0.9 -27.4 2 -30.44

    95 22.785 0.9 -29.8 1.7 -33.11

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    96 23.137 0.9 -32.2 1.5 -35.78

    97 23.49 0.9 -34.6 1.2 -38.44

    98 23.842 0.9 -37 0.9 -41.11

    99 24.195 0.9 -39.4 0.7 -43.78

    100 24.547 0.9 -41.8 0.4 -46.44

    101 24.9 0.9 -44.2 0.1 -49.11

    102 1000000 0.9 -44.9 0 -49.89

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     Mun(Ton-mt) b= 15 cm

    0.00 h= 40 cm

    0.86  Ag= *00 cm2

    0.86  As Total= 11.88 cm2

    0.86 rho= 0.0095

    0.86 f'c = 210 kg/cm2

    0.86 f'y = 4200 kg/cm2

    0.86 Po = 154.88 Ton Recubrimiento=

    0.86 Solicitaci

    1.00 Pu = 36.97 Ton   Carga axial última (

    1.00 Mux = 1.00 Ton.m   !ome"to alrededor

    1.00 Muy = 4.78 Ton.m   !ome"to alrededor

    1.00 1. Determinar la resistencia nominal requerida, s

    1.00 " #   0.65 factor de red$cci%"

    1.00 $n #   56.88 Ton   Carga de dise&o

    1.00 %n& #   1.54 Ton.m   !ome"to e" x de d1.14 %n' #   7.35 Ton.m   !ome"to e" # de d

    1.14 2. (sumir )eta#0.*5

    1.14 'eta 0.65 )$gerido para $" ta

    1.57 alfa 1.00 )$gerido para $" ta

    1.86 +. Determinar un momento resistente equialent

    2.29 +el)ecc 2.67 sec,'sec,

    2.57 +el!om 4.78 !"#!"x

    2.86 !"ox 12.10 /g-cm !ome"to "omi"al

    3.14 !"o# 7.66 /g-cm !ome"to "omi"al

    3.57 !"o 7.66 /g-cm (si !"#!"x'3.86 4. Determinar el re-uero requerido ara $n, %n

    4.14

    4.43

    4.71

    5.00

    5.14

    5.43

    5.71

    6.00

    6.146.43

    6.71

    6.86

    7.14

    7.29

    7.43

    7.71

    7.86

    8.00

    8.148.43

    8.57   0.00 o".m 2.00 o".m 4.00 o".m 6.0.00 o"

    50.00 o"

    100.00 o"

    150.00 o"

    200.00 o"

    250.00 o"

    300.00 o"

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    8.71

    8.86

    9.00

    9.14

    9.29

    9.43

    9.439.57

    9.71

    9.86

    10.00

    10.00

    10.14

    10.14

    10.29

    10.29

    10.4310.43

    10.43

    10.57

    10.43

    10.29

    10.29

    10.14

    10.00

    9.86

    9.71

    9.43

    9.29

    9.14

    8.86

    8.71

    8.43

    8.14

    7.86

    7.57

    7.29

    7.00

    6.71

    6.23

    5.80

    5.41

    4.89

    4.33

    3.67

    3.00

    2.22

    1.89

     

    -100.00 o"

    -50.00 o"

     

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    :;mite )$perior s mi" 0.01g 6.00 cm<

    123.90 o" 0.00 o".m s max 0.08g 48.00 cm<

    123.90 o" 10.57 o".m 25

    )olicitaci%" de =ise&o 1.98 0 0

    0.00 o" 0.00 o".m 0

    56.88 o" 7.66 o".m 1.98

    0

    4.5 cm   1.98 0 0

    nes   5.94 0 0

    afectada por factores de carga

     de x última

     de # última

      uoniendo un comortamiento controlado or comresi!n.

     de resiste"cia

    ise&o. !ome"to "omi"al 'iaxial e" xise&o !ome"to "omi"al 'iaxial e" #

      "teo i"icial (*aria de 0.55 a 0.70

      "teo i"icial

     unia&ial

      "iaxial e" x

      "iaxial e" #

      "o# !"oxcondici!n unia&ial

    $unto

    14

    2

    5

    6

    3

    .00 o".m 8.00 o".m 10.00 o".m 12.00 o".m

    (  M nx M nox

     )α 

    +( M noy≈ M nx

    b

    h

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    1.98 3.96

    50

    0 0

    1.98 3.96

    0 0

    1.98 3.96

    5.94 11.88

    P MDescrici!n

     o" o".m

    271 0 o180.86 7.86 crec$'rimie"to

    89.29 10.57 carga 'ala"ceada

    0.00 4.89 cerca de !o

    M nx

    nox )α 

    +(  M ny M noy

     ) β

    =1.0

    noy≈ M nxb

    h

    (

    1− β

     β

      )+ M ny

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     Mun(Ton-mt) Pn(Ton)

    0.00 270.86

    0.86 260.71

    0.86 260.57

    0.86 260.29

    0.86 260.00

    0.86 259.86

    0.86 259.57

    0.86 259.43

    1.00 259.14

    1.00 258.86

    1.00 258.57

    1.00 258.43

    1.00 258.14

    1.00 257.86

    1.00 257.571.14 257.29

    1.14 257.00

    1.14 258.43

    1.57 255.43

    1.86 252.43

    2.29 249.43

    2.57 246.43

    2.86 243.43

    3.14 240.43

    3.57 237.433.86 234.43

    4.14 231.29

    4.43 228.29

    4.71 225.29

    5.00 222.14

    5.14 219.00

    5.43 216.00

    5.71 212.86

    6.00 209.71

    6.14 206.576.43 203.43

    6.71 200.29

    6.86 197.14

    7.14 193.86

    7.29 190.71

    7.43 187.43

    7.71 184.14

    7.86 180.86

    8.00 177.57

    8.14 174.298.43 171.00

    8.57 167.57

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    8.71 164.14

    8.86 160.71

    9.00 157.29

    9.14 153.86

    9.29 150.29

    9.43 146.86

    9.43 143.149.57 139.57

    9.71 135.86

    9.86 132.29

    10.00 128.43

    10.00 124.57

    10.14 120.43

    10.14 116.29

    10.29 112.00

    10.29 107.71

    10.43 103.1410.43 98.71

    10.43 94.00

    10.57 89.29

    10.43 86.00

    10.29 83.00

    10.29 79.86

    10.14 76.71

    10.00 73.43

    9.86 70.29

    9.71 67.00

    9.43 63.71

    9.29 60.29

    9.14 56.86

    8.86 53.43

    8.71 49.86

    8.43 46.29

    8.14 42.57

    7.86 38.71

    7.57 34.71

    7.29 30.57

    7.00 26.29

    6.71 21.92

    6.23 17.01

    5.80 11.98

    5.41 6.47

    4.89 0.56

    4.33 -6.00

    3.67 -13.44

    3.00 -22.11

    2.22 -30.44

    1.89 -33.11

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    1.67 -35.78

    1.33 -38.44

    1.00 -41.11

    0.78 -43.78

    0.44 -46.44

    0.11 -49.11

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    &.$ Mun(Ton-mt) recub. Puntos

    270.86 0.00 270.86 0.00 4.5

    260.71 0.86 260.71 0.86 4.5

    260.57 0.86 260.57 0.86 4.5

    260.29 0.86 260.29 0.86 4.5

    260.00 0.86 260.00 0.86 4.5

    259.86 0.86 259.86 0.86 4.5

    259.57 0.86 259.57 0.86 4.5

    259.43 0.86 259.43 0.86 4.5

    259.14 1.00 259.14 1.00 4.5

    258.86 1.00 258.86 1.00 4.5

    258.57 1.00 258.57 1.00 4.5

    258.43 1.00 258.43 1.00 4.5

    258.14 1.00 258.14 1.00 4.5

    257.86 1.00 257.86 1.00 4.5

    257.57 1.00 257.57 1.00 4.5257.29 1.14 257.29 1.14 4.5

    257.00 1.14 257.00 1.14 4.5

    258.43 1.14 258.43 1.14 4.5 -4.36

    255.43 1.57 255.43 1.57 4.5 -4.007

    252.43 1.86 252.43 1.86 4.5 -3.655

    249.43 2.29 249.43 2.29 4.5 -3.302

    246.43 2.57 246.43 2.57 4.5 -2.949

    243.43 2.86 243.43 2.86 4.5 -2.597

    240.43 3.14 240.43 3.14 4.5 -2.244

    237.43 3.57 237.43 3.57 4.5 -1.892234.43 3.86 234.43 3.86 4.5 -1.539

    231.29 4.14 231.29 4.14 4.5 -1.187

    228.29 4.43 228.29 4.43 4.5 -0.834

    225.29 4.71 225.29 4.71 4.5 -0.482

    222.14 5.00 222.14 5.00 4.5 -0.129

    219.00 5.14 219.00 5.14 4.5 0.223

    216.00 5.43 216.00 5.43 4.5 0.576

    212.86 5.71 212.86 5.71 4.5 0.928

    209.71 6.00 209.71 6.00 4.5 1.281

    206.57 6.14 206.57 6.14 4.5 1.633203.43 6.43 203.43 6.43 4.5 1.986

    200.29 6.71 200.29 6.71 4.5 2.338

    197.14 6.86 197.14 6.86 4.5 2.691

    193.86 7.14 193.86 7.14 4.5 3.043

    190.71 7.29 190.71 7.29 4.5 3.396

    187.43 7.43 187.43 7.43 4.5 3.748

    184.14 7.71 184.14 7.71 4.5 4.101

    180.86 7.86 180.86 7.86 4.5 4.454

    177.57 8.00 177.57 8.00 4.5

    174.29 8.14 174.29 8.14 4.5171.00 8.43 171.00 8.43 4.5

    167.57 8.57 167.57 8.57 4.5

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    164.14 8.71 164.14 8.71 4.5

    160.71 8.86 160.71 8.86 4.5

    157.29 9.00 157.29 9.00 4.5

    153.86 9.14 153.86 9.14 4.5

    150.29 9.29 150.29 9.29 4.5

    146.86 9.43 146.86 9.43 4.5

    143.14 9.43 143.14 9.43 4.5139.57 9.57 139.57 9.57 4.5

    135.86 9.71 135.86 9.71 4.5

    132.29 9.86 132.29 9.86 4.5

    128.43 10.00 128.43 10.00 4.5

    124.57 10.00 124.57 10.00 4.5

    120.43 10.14 120.43 10.14 4.5

    116.29 10.14 116.29 10.14 4.5

    112.00 10.29 112.00 10.29 4.5

    107.71 10.29 107.71 10.29 4.5

    103.14 10.43 103.14 10.43 4.598.71 10.43 98.71 10.43 4.5

    94.00 10.43 94.00 10.43 4.5

    89.29 10.57 4.5

    86.00 10.43 4.5

    83.00 10.29 4.5

    79.86 10.29 4.5

    76.71 10.14 4.5

    73.43 10.00 4.5

    70.29 9.86 4.5

    67.00 9.71 4.5

    63.71 9.43 4.5

    60.29 9.29 4.5

    56.86 9.14 4.5

    53.43 8.86 4.5

    49.86 8.71 4.5

    46.29 8.43 4.5

    42.57 8.14 4.5

    38.71 7.86 4.5

    34.71 7.57 4.5

    30.57 7.29 4.5

    26.29 7.00 4.5

    21.92 6.71 4.5

    17.01 6.23 4.5

    11.98 5.80 4.5

    6.47 5.41 4.5

    0.56 4.89 4.5

    6.00 4.33 4.5

    13.44 3.67 4.5

    22.11 3.00 4.5

    30.44 2.22 4.5

    33.11 1.89 4.5

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    35.78 1.67 4.5

    38.44 1.33 4.5

    41.11 1.00 4.5

    43.78 0.78 4.5

    46.44 0.44 4.5

    49.11 0.11 4.5

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    %iferencia &.&$ Mun(Ton-mt)

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.54.5

    4.5

    4.36 4.5 0.14 -0.14 0.14 1.14

    4.007 4.5 0.493 -0.493 0.493 1.57

    3.655 4.5 0.845 -0.845 0.845 1.86

    3.302 4.5 1.198 -1.198 1.198 2.29

    2.949 4.5 1.551 -1.551 1.551 2.57

    2.597 4.5 1.903 -1.903 1.903 2.86

    2.244 4.5 2.256 -2.256 2.256 3.14

    1.892 4.5 2.608 -2.608 2.608 3.571.539 4.5 2.961 -2.961 2.961 3.86

    1.187 4.5 3.313 -3.313 3.313 4.14

    0.834 4.5 3.666 -3.666 3.666 4.43

    0.482 4.5 4.018 -4.018 4.018 4.71

    0.129 4.5 4.371 -4.371 4.371 5.00

    0.223 4.5 4.277 -4.277 4.277 5.14

    0.576 4.5 3.924 -3.924 3.924 5.43

    0.928 4.5 3.572 -3.572 3.572 5.71

    1.281 4.5 3.219 -3.219 3.219 6.00

    1.633 4.5 2.867 -2.867 2.867 6.141.986 4.5 2.514 -2.514 2.514 6.43

    2.338 4.5 2.162 -2.162 2.162 6.71

    2.691 4.5 1.809 -1.809 1.809 6.86

    3.043 4.5 1.457 -1.457 1.457 7.14

    3.396 4.5 1.104 -1.104 1.104 7.29

    3.748 4.5 0.752 -0.752 0.752 7.43

    4.101 4.5 0.399 -0.399 0.399 7.71

    4.454 4.5 0.046 -0.046 0.046 7.86

    4.5

    4.54.5

    4.5

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    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.54.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.54.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

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    4.5

    4.5

    4.5

    4.5

    4.5

    4.5

    7.86

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     Pn(Ton)

    258.43

    255.43

    252.43

    249.43

    246.43

    243.43

    240.43

    237.43234.43

    231.29

    228.29

    225.29

    222.14

    219.00

    216.00

    212.86

    209.71

    206.57203.43

    200.29

    197.14

    193.86

    190.71

    187.43

    184.14

    180.86

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    180.86