calculos, cortantes para sismos (corregido)

A continuación se presenta el cálculo del centro de masa para cada uno de los niveles de la construcción.Estos servirán para encontrar la excentricidad y de esta manera obtener las fuerzas nodales en cad nivel

Nivel 4.00

Cordenadas Momento resultante

Losa número WM Lado (en y) (m) Lado (en x) (m) Fuerza (kg) X Y Eje "x" (kg-m) Eje "y" (kg-m)

1 180 1461.83197917 8 6 48 78807.935 3 20 1576158.7 236423.805

2 250 1569.62723214 8 7 56 101899.125 9.5 20 2037982.5 968041.687500002

3 250 1105.06854167 8 6 48 65043.29 3 12 780519.48 195129.87

4 250 1015.05830357 8 7 56 70843.265 9.5 12 850119.18 673011.0175

5 180 1477.24071429 8 7 56 92805.4800000002 16.5 12 1113665.76 1531290.42

6 180 1786.1653125 8 6 48 94375.935 23 12 1132511.22 2170646.505

7 250 1172.76947917 8 6 48 68292.935 3 4 273171.74 204878.805

8 250 1073.88017857 8 7 56 74137.29 9.5 4 296549.16 704304.255

9 250 1073.88017857 8 7 56 74137.29 16.5 4 296549.16 1223265.285

10 180 1647.1653125 8 6 48 87703.935 23 4 350815.74 2017190.505

Sumatoria: 808046.48 8708042.64000001 9924182.15500001

Coordenadas del centro de masaY (m) X (m)

10.78 12.28

Nivel 8.00


Losa número WM Lado (en y) (m) Lado (en x) (m) Fuerza (kg) X Y Eje "x" (kg-m) Eje "y" (kg-m)

1 180 1461.83197917 8 6 48 78807.935 3 20 1576158.7 236423.805

2 250 1569.62723214 8 7 56 101899.125 9.5 20 2037982.5 968041.687500002

3 250 1105.06854167 8 6 48 65043.29 3 12 780519.48 195129.87

4 250 1015.05830357 8 7 56 70843.265 9.5 12 850119.18 673011.0175

5 180 1477.24071429 8 7 56 92805.4800000002 16.5 12 1113665.76 1531290.42

6 180 1786.1653125 8 6 48 94375.935 23 12 1132511.22 2170646.505

7 250 1172.76947917 8 6 48 68292.935 3 4 273171.74 204878.805

8 250 1073.88017857 8 7 56 74137.29 9.5 4 296549.16 704304.255

9 250 1073.88017857 8 7 56 74137.29 16.5 4 296549.16 1223265.285

10 180 1647.1653125 8 6 48 87703.935 23 4 350815.74 2017190.505

Sumatoria: 808046.48 8708042.64000001 9924182.15500001


10.78 12.28

Nivel 12.00


Losa número Lado (en y) (m) Lado (en x) (m) Fuerza (kg) X Y Eje "x" (kg-m) Eje "y" (kg-m)

1 70 1461.83197917 8 6 48 73527.935 3 12 882335.22 220583.805

2 70 1,341.47 8 7 56 79042 9.5 12 948507.480000003 750901.755000002

3 70 1212.88017857 8 7 56 71841.29 16.5 12 862095.48 1185381.285

4 70 1497.1028125 8 6 48 75220.935 23 12 902651.22 1730081.505

5 70 1440.35876488 8 6 48 72497 3 4 289988.882857144 217491.662142858

6 70 1362.94267857 8 7 56 80244.79 9.5 4 320979.16 762325.505

7 70 1073.88017857 8 7 56 64057.29 16.5 4 256229.16 1056945.285

8 70 1382.8528125 8 6 48 69736.935 23 4 278947.74 1603949.505

Sumatoria: 586168.685714286 4741734.34285715 7527660.30714286


8.09 12.84

Carga viva (kg/m^2)

Área de losa (m^2)

Carga viva (kg/m^2)

Área de losa (m^2)

WV (kg/m^2)

WM (kg/m^2)

Área de losa (m^2)

A continuación para el cálculo de las fuerzas sísmicas se distribuyóla carga muerta de columnas, vigas, muros y fachadas entre las losas.

Largo base ancho g (kg/m^3) W (kg)columna 3.69 0.35 0.35 2400 1084.86viga tipo 1 8 0.3 0.55 2400 3168viga tipo 2 7 0.3 0.55 2400 2772viga tipo 3 6 0.3 0.55 2400 2376

Losa Peso columnPeso de vig Fachada Área w (kg/m^2)1 2440.935 8316 2912 48 284.769479172 2260.125 8910 12016 56 414.037946433 1627.29 7128 1664 48 217.068541674 1175.265 5940 0 56 127.058303575 1446.48 7326 9240 56 321.651428576 2440.935 8316 18480 48 609.10281257 2440.935 8316 2912 48 284.769479178 1627.29 7326 1456 56 185.880178579 1627.29 7326 1456 56 185.88017857

10 2440.935 8316 11808 48 470.1028125

Losa Peso colum Peso de vig Fachada Área w (kg/m^2) 1 2,440.94 8,316.00 2,912.00 48.00 284.77 2 1,627.29 7,326.00 1,456.00 56.00 185.88 3 1,627.29 7,326.00 9,240.00 56.00 324.88 4 2,440.94 8,316.00 18,480.00 48.00 609.10 5 2,440.94 8,316.00 2,912.00 48.00 284.77 6 1,627.29 7,326.00 1,456.00 56.00 185.88 7 1,627.29 7,326.00 1,456.00 56.00 185.88 8 2,440.94 9,504.00 11,808.00 48.00 494.85

A continuación se presenta el cálculo de la fuerza que se desarrolla en cada uno de los entrepisos,se realizaron algunas supuestos para poder obtener el espectro de Diseño, ya que el proyecto no presenta la Zona sísmica donde se está construyendo el edificio.

Zona sísmica: ATipo de suelo: II

0.04c= 0.16

0.31.5

r = 2/3

Modelo Dinámico

w1 = 808,046.48 kg = 808.05 ton m1 = 82,369.67 kg-s/cmw2 = 808,046.48 kg = 808.05 ton m2 = 82,369.67 kg-s/cmw3 = 586,168.69 kg = 586.17 ton m3 = 59,752.16 kg-s/cmSumatoria = 2,202.26 ton 224,491.50 kg-s/cm

Dimensiones de las columnas:

55 cmL = 4 m h1 = 4 mh = 35 cm h2 = 8 mb = 35 cm h3 = 12 m

E = 238,751.96 kg/cm^2I = 125,052.08 cm^4k = 8.72 ton/cmQ = 2Cs = 0.08k (primer nivel) = 2.18 ton/cm

columna h (m) k (ton/cm) w (ton) w·h (ton-m) f (ton) V (ton) Entrepiso1 4 39.26 808.05 3,232.19 34.04 176.18 I2 8 157.05 808.05 6,464.37 68.07 142.14 II3 12 130.87 586.17 7,034.02 74.07 74.07 III

sumatoria = 2,202.26 16,730.58 176.18 392.40

a = 0.01053047 V(suelo)

a0 =

Ta =Tb =

espesor de vigas =

Esta hoja presneta el cálculo del Centor de Torsión y con el uso de algunas herramientas de Excel,se relacionó este cálculo con el centro de masa para obtener la excentricidad natural y también la de diseño obteniedno lo siguiente:

Nivel 4.00 y 8.00

Columna Xm (cm) Ym (cm) kx (kg/cm) ky (kg/cm) kx·Ym (kg) ky·Xm (kg)

1 0 2400 2,181.23 2,181.23 5,234,956.70 -

2 0 1600 2,181.23 2,181.23 3,489,971.14 -

3 0 800 2,181.23 2,181.23 1,744,985.57 -

4 0 0 2,181.23 2,181.23 - -

5 600 2400 2,181.23 2,181.23 5,234,956.70 1,308,739.18

6 600 1600 2,181.23 2,181.23 3,489,971.14 1,308,739.18

7 600 800 2,181.23 2,181.23 1,744,985.57 1,308,739.18

8 600 0 2,181.23 2,181.23 - 1,308,739.18

9 1300 2400 2,181.23 2,181.23 5,234,956.70 2,835,601.55

10 1300 1600 2,181.23 2,181.23 3,489,971.14 2,835,601.55

11 1300 800 2,181.23 2,181.23 1,744,985.57 2,835,601.55

12 1300 0 2,181.23 2,181.23 - 2,835,601.55

13 2000 1600 2,181.23 2,181.23 3,489,971.14 4,362,463.92

14 2000 800 2,181.23 2,181.23 1,744,985.57 4,362,463.92

15 2000 0 2,181.23 2,181.23 - 4,362,463.92

16 2600 1600 2,181.23 2,181.23 3,489,971.14 5,671,203.10

17 2600 800 2,181.23 2,181.23 1,744,985.57 5,671,203.10

18 2600 0 2,181.23 2,181.23 - 5,671,203.10

sumatoria 39,262.18 39,262.18 41,879,653.63 46,678,363.95

Nivel 4.00 y 8.00


1 0 2400 8,724.93 8,724.93 20,939,826.82 -

2 0 1600 8,724.93 8,724.93 13,959,884.54 -

3 0 800 8,724.93 8,724.93 6,979,942.27 -

4 0 0 8,724.93 8,724.93 - -

5 600 2400 8,724.93 8,724.93 20,939,826.82 5,234,956.70

6 600 1600 8,724.93 8,724.93 13,959,884.54 5,234,956.70

7 600 800 8,724.93 8,724.93 6,979,942.27 5,234,956.70

8 600 0 8,724.93 8,724.93 - 5,234,956.70

9 1300 2400 8,724.93 8,724.93 20,939,826.82 11,342,406.19

10 1300 1600 8,724.93 8,724.93 13,959,884.54 11,342,406.19

11 1300 800 8,724.93 8,724.93 6,979,942.27 11,342,406.19

12 1300 0 8,724.93 8,724.93 - 11,342,406.19

13 2000 1600 8,724.93 8,724.93 13,959,884.54 17,449,855.68

14 2000 800 8,724.93 8,724.93 6,979,942.27 17,449,855.68

15 2000 0 8,724.93 8,724.93 - 17,449,855.68

16 2600 1600 8,724.93 8,724.93 13,959,884.54 22,684,812.39

17 2600 800 8,724.93 8,724.93 6,979,942.27 22,684,812.39

18 2600 0 8,724.93 8,724.93 - 22,684,812.39

sumatoria 157,048.70 157,048.70 167,518,614.54 186,713,455.79

Nivel 12.00


1 0 1600 8,724.93 8,724.93 13,959,884.54 -

2 0 800 8,724.93 8,724.93 6,979,942.27 -

3 0 0 8,724.93 8,724.93 - -

4 600 1600 8,724.93 8,724.93 13,959,884.54 5,234,956.70

5 600 800 8,724.93 8,724.93 6,979,942.27 5,234,956.70

6 600 0 8,724.93 8,724.93 - 5,234,956.70

7 1300 1600 8,724.93 8,724.93 13,959,884.54 11,342,406.19

8 1300 800 8,724.93 8,724.93 6,979,942.27 11,342,406.19

9 1300 0 8,724.93 8,724.93 - 11,342,406.19

10 2000 1600 8,724.93 8,724.93 13,959,884.54 17,449,855.68

11 2000 800 8,724.93 8,724.93 6,979,942.27 17,449,855.68

12 2000 0 8,724.93 8,724.93 - 17,449,855.68

13 2600 1600 8,724.93 8,724.93 13,959,884.54 22,684,812.39

14 2600 800 8,724.93 8,724.93 6,979,942.27 22,684,812.39

15 2600 0 8,724.93 8,724.93 - 22,684,812.39

sumatoria 130,873.92 130,873.92 104,699,134.09 170,136,092.89

nivel 4.00 y 8.00XT (cm)= 1,188.89 YT (cm)= 1,066.67

EXCENTRICIDADES DE DISEÑO

nivel 8.00 Nivel 4.00XT (cm)= 1,188.89 ex(+)= 201.08 YT (cm)= 1,066.67 nivel 4.00 ex(-) = - 299.28

en(x) = - 39.28 ey(+) = 223.50 nivel 4.00 en(y) = - 11.00 ey(-) = - 251.00

Y (m) X (m)10.7766606 12.2816972 Nivel 8.00

ex(+)= 68.68 nivel 8.00 nivel 8.00 ex(-) = - 387.54

en(x) = - 127.54 ey(+) = 355.06 Y (m) X (m) en(y) = 76.71 ey(-) = - 163.29 9.89957492 13.1643323

Nivel 12.00Nivel 12.00

XT (cm)= 1,300.00 ex(+)= 283.68 YT (cm)= 800.00 nivel 4.00 ex(-) = - 244.21

en(x) = 15.79 ey(+) = 226.59 en(y) = - 8.94 ey(-) = - 248.94

Y (m) X (m)8.08936823 12.84214

Centro de Torsión

Centro de Torsión

Centro de masa

Centro de masa

Centro de Torsión

Centro de masa

Nivel 4.00

Corte Directo Corte por torsión Corte final

Columna Xt (cm) Yt (cm) kx (kg/cm) ky (kg/cm) kx·Yt^2 (kg-cm) ky·Xt^2 (kg-cm) fx Fx (kg) fx Fx (kg) fy Fy (kg) Fx Fy

1 - 1,188.89 1,333.33 2,181.23 2,181.23 3,877,745,706.85 3,083,077,124.85 5.556E-02 - 9,787.83 4.790E-05 1,886.00 -4.271E-05 1,681.69 - 7,901.83 1,681.69

2 - 1,188.89 533.33 2,181.23 2,181.23 620,439,313.10 3,083,077,124.85 5.556E-02 - 9,787.83 1.916E-05 754.401200627848 -4.271E-05 1,681.69 - 9,033.43 1,681.69

3 - 1,188.89 - 266.67 2,181.23 2,181.23 155,109,828.27 3,083,077,124.85 5.556E-02 - 9,787.83 -9.579E-06 -377.200600313924 -4.271E-05 1,681.69 - 10,165.03 1,681.69

4 - 1,188.89 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 3,083,077,124.85 5.556E-02 - 9,787.83 -3.832E-05 -1508.8024012557 -4.271E-05 1,681.69 - 11,296.63 1,681.69

5 - 588.89 1,333.33 2,181.23 2,181.23 3,877,745,706.85 756,429,700.73 5.556E-02 - 9,787.83 4.790E-05 1886.00300156962 -2.115E-05 832.98 - 7,901.83 832.98

6 - 588.89 533.33 2,181.23 2,181.23 620,439,313.10 756,429,700.73 5.556E-02 - 9,787.83 1.916E-05 754.401200627848 -2.115E-05 832.98 - 9,033.43 832.98

7 - 588.89 - 266.67 2,181.23 2,181.23 155,109,828.27 756,429,700.73 5.556E-02 - 9,787.83 -9.579E-06 -377.200600313924 -2.115E-05 832.98 - 10,165.03 832.98

8 - 588.89 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 756,429,700.73 5.556E-02 - 9,787.83 -3.832E-05 -1508.8024012557 -2.115E-05 832.98 - 11,296.63 832.98

9 111.11 1,333.33 2,181.23 2,181.23 3,877,745,706.85 26,928,789.63 5.556E-02 - 9,787.83 4.790E-05 1886.00300156962 3.991E-06 - 157.17 - 7,901.83 - 157.17

10 111.11 533.33 2,181.23 2,181.23 620,439,313.10 26,928,789.63 5.556E-02 - 9,787.83 1.916E-05 754.401200627848 3.991E-06 - 157.17 - 9,033.43 - 157.17

11 111.11 - 266.67 2,181.23 2,181.23 155,109,828.27 26,928,789.63 5.556E-02 - 9,787.83 -9.579E-06 -377.200600313924 3.991E-06 - 157.17 - 10,165.03 - 157.17

12 111.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 26,928,789.63 5.556E-02 - 9,787.83 -3.832E-05 -1508.8024012557 3.991E-06 - 157.17 - 11,296.63 - 157.17

13 811.11 533.33 2,181.23 2,181.23 620,439,313.10 1,435,035,199.43 5.556E-02 - 9,787.83 1.916E-05 754.401200627848 2.914E-05 - 1,147.32 - 9,033.43 - 1,147.32

14 811.11 - 266.67 2,181.23 2,181.23 155,109,828.27 1,435,035,199.43 5.556E-02 - 9,787.83 -9.579E-06 -377.200600313924 2.914E-05 - 1,147.32 - 10,165.03 - 1,147.32

15 811.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 1,435,035,199.43 5.556E-02 - 9,787.83 -3.832E-05 -1508.8024012557 2.914E-05 - 1,147.32 - 11,296.63 - 1,147.32

16 1,411.11 533.33 2,181.23 2,181.23 620,439,313.10 4,343,344,479.57 5.556E-02 - 9,787.83 1.916E-05 754.401200627848 5.069E-05 - 1,996.02 - 9,033.43 - 1,996.02

17 1,411.11 - 266.67 2,181.23 2,181.23 155,109,828.27 4,343,344,479.57 5.556E-02 - 9,787.83 -9.579E-06 -377.200600313924 5.069E-05 - 1,996.02 - 10,165.03 - 1,996.02

18 1,411.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 4,343,344,479.57 5.556E-02 - 9,787.83 -3.832E-05 -1508.8024012557 5.069E-05 - 1,996.02 - 11,296.63 - 1,996.02

sumatoria 39,262.18 39,262.18 27,919,769,089.35 32,800,881,497.85 1.00 0 - - 176,180.93 20,117.37

ex (cm) = 201.08

V(kg) = 176,180.93 ex (cm) = - 299.28

KT (kg-cm) = 60,720,650,587.21 ey (cm) = 223.50

Mt = 39,376,599.33 ey (cm) = - 251.00

Nivel 8.00


Columna Xt (cm) Yt (cm) kx (kg/cm) ky (kg/cm) kx·Yt^2 (kg-cm) ky·Xt^2 (kg-cm) fx Fx (ton) fx Fx (kg) fy Fy (kg) Fx Fy

1 - 1,188.89 1,333.33 8,724.93 8,724.93 15,510,982,827.42 12,332,308,499.38 5.556E-02 - 7,896.92 4.792E-05 2,418.428 -4.273E-05 2,156.43 - 5,478.49 2,156.43

2 - 1,188.89 533.33 8,724.93 8,724.93 2,481,757,252.39 12,332,308,499.38 5.556E-02 - 7,896.92 1.917E-05 967.371 -4.273E-05 2,156.43 - 6,929.54 2,156.43

3 - 1,188.89 - 266.67 8,724.93 8,724.93 620,439,313.10 12,332,308,499.38 5.556E-02 - 7,896.92 -9.584E-06 - 483.686 -4.273E-05 2,156.43 - 8,380.60 2,156.43

4 - 1,188.89 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 12,332,308,499.38 5.556E-02 - 7,896.92 -3.833E-05 - 1,934.743 -4.273E-05 2,156.43 - 9,831.66 2,156.43

5 - 588.89 1,333.33 8,724.93 8,724.93 15,510,982,827.42 3,025,718,802.93 5.556E-02 - 7,896.92 4.792E-05 2,418.428 -2.116E-05 1,068.14 - 5,478.49 1,068.14

6 - 588.89 533.33 8,724.93 8,724.93 2,481,757,252.39 3,025,718,802.93 5.556E-02 - 7,896.92 1.917E-05 967.371 -2.116E-05 1,068.14 - 6,929.54 1,068.14

7 - 588.89 - 266.67 8,724.93 8,724.93 620,439,313.10 3,025,718,802.93 5.556E-02 - 7,896.92 -9.584E-06 - 483.686 -2.116E-05 1,068.14 - 8,380.60 1,068.14

8 - 588.89 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 3,025,718,802.93 5.556E-02 - 7,896.92 -3.833E-05 - 1,934.743 -2.116E-05 1,068.14 - 9,831.66 1,068.14

9 111.11 1,333.33 8,724.93 8,724.93 15,510,982,827.42 107,715,158.52 5.556E-02 - 7,896.92 4.792E-05 2,418.428 3.993E-06 - 201.54 - 5,478.49 - 201.54

10 111.11 533.33 8,724.93 8,724.93 2,481,757,252.39 107,715,158.52 5.556E-02 - 7,896.92 1.917E-05 967.371 3.993E-06 - 201.54 - 6,929.54 - 201.54

11 111.11 - 266.67 8,724.93 8,724.93 620,439,313.10 tan 5.556E-02 - 7,896.92 -9.584E-06 - 483.686 3.993E-06 - 201.54 - 8,380.60 - 201.54

12 111.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 107,715,158.52 5.556E-02 - 7,896.92 -3.833E-05 - 1,934.743 3.993E-06 - 201.54 - 9,831.66 - 201.54

13 811.11 533.33 8,724.93 8,724.93 2,481,757,252.39 5,740,140,797.73 5.556E-02 - 7,896.92 1.917E-05 967.371 2.915E-05 - 1,471.21 - 6,929.54 - 1,471.21

14 811.11 - 266.67 8,724.93 8,724.93 620,439,313.10 5,740,140,797.73 5.556E-02 - 7,896.92 -9.584E-06 - 483.686 2.915E-05 - 1,471.21 - 8,380.60 - 1,471.21

15 811.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 5,740,140,797.73 5.556E-02 - 7,896.92 -3.833E-05 - 1,934.743 2.915E-05 - 1,471.21 - 9,831.66 - 1,471.21

16 1,411.11 533.33 8,724.93 8,724.93 2,481,757,252.39 17,373,377,918.29 5.556E-02 - 7,896.92 1.917E-05 967.371 5.071E-05 - 2,559.50 - 6,929.54 - 2,559.50

17 1,411.11 - 266.67 8,724.93 8,724.93 620,439,313.10 17,373,377,918.29 5.556E-02 - 7,896.92 -9.584E-06 - 483.686 5.071E-05 - 2,559.50 - 8,380.60 - 2,559.50

18 1,411.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 17,373,377,918.29 5.556E-02 - 7,896.92 -3.833E-05 - 1,934.743 5.071E-05 - 2,559.50 - 9,831.66 - 2,559.50

sumatoria 157,048.70 157,048.70 111,679,076,357.40 131,095,810,832.89 1.00 0 - - 142,144.49 25,796.57

ex (cm) = 68.68

V(ton) = 142,144.49 ex (cm) = - 387.54

KT = 242,774,887,190.30 ey (cm) = 355.06

Mt = 50,470,356.27 ey (cm) = - 163.29

Nivel 12.00



1 - 1,300.00 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 4.107E-05 689.29 -6.674E-05 1,120.10 - 4,248.82 1,120.10

2 - 1,300.00 - 8,724.93 8,724.93 - 14,745,128,050.31 6.667E-02 - 4,938.11 0.000E+00 - -6.674E-05 1,120.10 - 4,938.11 1,120.10

3 - 1,300.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 -4.107E-05 - 689.29 -6.674E-05 1,120.10 - 5,627.40 1,120.10

4 - 700.00 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 4.107E-05 689.29 -3.593E-05 603.13 - 4,248.82 603.13

5 - 700.00 - 8,724.93 8,724.93 - 4,275,214,641.81 6.667E-02 - 4,938.11 0.000E+00 - -3.593E-05 603.13 - 4,938.11 603.13

6 - 700.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 -4.107E-05 - 689.29 -3.593E-05 603.13 - 5,627.40 603.13

7 - 800.00 8,724.93 8,724.93 5,583,953,817.87 - 6.667E-02 - 4,938.11 4.107E-05 689.29 0.000E+00 - - 4,248.82 -

8 - - 8,724.93 8,724.93 - - 6.667E-02 - 4,938.11 0.000E+00 - 0.000E+00 - - 4,938.11 -

9 - - 800.00 8,724.93 8,724.93 5,583,953,817.87 - 6.667E-02 - 4,938.11 -4.107E-05 - 689.29 0.000E+00 - - 5,627.40 -

10 700.00 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 4.107E-05 689.29 3.593E-05 - 603.13 - 4,248.82 - 603.13

11 700.00 - 8,724.93 8,724.93 - 4,275,214,641.81 6.667E-02 - 4,938.11 0.000E+00 - 3.593E-05 - 603.13 - 4,938.11 - 603.13

12 700.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 -4.107E-05 - 689.29 3.593E-05 - 603.13 - 5,627.40 - 603.13

13 1,300.00 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 4.107E-05 689.29 6.674E-05 - 1,120.10 - 4,248.82 - 1,120.10

14 1,300.00 - 8,724.93 8,724.93 - 14,745,128,050.31 6.667E-02 - 4,938.11 0.000E+00 - 6.674E-05 - 1,120.10 - 4,938.11 - 1,120.10

15 1,300.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 -4.107E-05 - 689.29 6.674E-05 - 1,120.10 - 5,627.40 - 1,120.10

sumatoria 130,873.92 130,873.92 55,839,538,178.70 114,122,056,152.72 1.00 - 74,071.60 10,339.37

ex (cm) = 283.68

V(ton) = 74,071.60 ex (cm) = - 244.21

KT = 169,961,594,331.42 ey (cm) = 226.59

Mt = 16,784,236.37 ey (cm) = - 248.94

Nivel 4.00


Columna Xt (cm) Yt (cm) kx (kg/cm) ky (kg/cm) kx·Yt^2 (kg-cm) ky·Xt^2 (kg-cm) fx Fy (kg) fx Fx (kg) fy Fy (kg) Fx Fy

1 - 1,188.89 1,333.33 2,181.23 2,181.23 3,877,745,706.85 3,083,077,124.85 5.556E-02 - 9,787.83 4.790E-05 - 2,525.47 -4.271E-05 - 2,251.88 - 2,525.47 - 12,039.71

2 - 1,188.89 533.33 2,181.23 2,181.23 620,439,313.10 3,083,077,124.85 5.556E-02 - 9,787.83 1.916E-05 - 1,010.19 -4.271E-05 - 2,251.88 - 1,010.19 - 12,039.71

3 - 1,188.89 - 266.67 2,181.23 2,181.23 155,109,828.27 3,083,077,124.85 5.556E-02 - 9,787.83 -9.579E-06 505.09 -4.271E-05 - 2,251.88 505.09 - 12,039.71

4 - 1,188.89 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 3,083,077,124.85 5.556E-02 - 9,787.83 -3.832E-05 2,020.37 -4.271E-05 - 2,251.88 2,020.37 - 12,039.71

5 - 588.89 1,333.33 2,181.23 2,181.23 3,877,745,706.85 756,429,700.73 5.556E-02 - 9,787.83 4.790E-05 - 2,525.47 -2.115E-05 - 1,115.42 - 2,525.47 - 10,903.24

6 - 588.89 533.33 2,181.23 2,181.23 620,439,313.10 756,429,700.73 5.556E-02 - 9,787.83 1.916E-05 - 1,010.19 -2.115E-05 - 1,115.42 - 1,010.19 - 10,903.24

7 - 588.89 - 266.67 2,181.23 2,181.23 155,109,828.27 756,429,700.73 5.556E-02 - 9,787.83 -9.579E-06 505.09 -2.115E-05 - 1,115.42 505.09 - 10,903.24

8 - 588.89 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 756,429,700.73 5.556E-02 - 9,787.83 -3.832E-05 2,020.37 -2.115E-05 - 1,115.42 2,020.37 - 10,903.24

9 111.11 1,333.33 2,181.23 2,181.23 3,877,745,706.85 26,928,789.63 5.556E-02 - 9,787.83 4.790E-05 - 2,525.47 3.991E-06 210.46 - 2,525.47 - 9,577.37

10 111.11 533.33 2,181.23 2,181.23 620,439,313.10 26,928,789.63 5.556E-02 - 9,787.83 1.916E-05 - 1,010.19 3.991E-06 210.46 - 1,010.19 - 9,577.37

11 111.11 - 266.67 2,181.23 2,181.23 155,109,828.27 26,928,789.63 5.556E-02 - 9,787.83 -9.579E-06 505.09 3.991E-06 210.46 505.09 - 9,577.37

12 111.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 26,928,789.63 5.556E-02 - 9,787.83 -3.832E-05 2,020.37 3.991E-06 210.46 2,020.37 - 9,577.37

13 811.11 533.33 2,181.23 2,181.23 620,439,313.10 1,435,035,199.43 5.556E-02 - 9,787.83 1.916E-05 - 1,010.19 2.914E-05 1,536.33 - 1,010.19 - 8,251.50

14 811.11 - 266.67 2,181.23 2,181.23 155,109,828.27 1,435,035,199.43 5.556E-02 - 9,787.83 -9.579E-06 505.09 2.914E-05 1,536.33 505.09 - 8,251.50

15 811.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 1,435,035,199.43 5.556E-02 - 9,787.83 -3.832E-05 2,020.37 2.914E-05 1,536.33 2,020.37 - 8,251.50

16 1,411.11 533.33 2,181.23 2,181.23 620,439,313.10 4,343,344,479.57 5.556E-02 - 9,787.83 1.916E-05 - 1,010.19 5.069E-05 2,672.79 - 1,010.19 - 7,115.04

17 1,411.11 - 266.67 2,181.23 2,181.23 155,109,828.27 4,343,344,479.57 5.556E-02 - 9,787.83 -9.579E-06 505.09 5.069E-05 2,672.79 505.09 - 7,115.04

18 1,411.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 4,343,344,479.57 5.556E-02 - 9,787.83 -3.832E-05 2,020.37 5.069E-05 2,672.79 2,020.37 - 7,115.04

sumatoria 39,262.18 39,262.18 27,919,769,089.35 32,800,881,497.85 1.00 0 - 25,254.69 - 176,180.93

ex (cm) = 201.08

V(kg) = 176,180.93 ex (cm) = - 299.28

KT = 60,720,650,587.21 ey (cm) = 223.50

Mt = - 52,727,574.87 ey (cm) = - 251.00

Nivel 8.00



1 - 1,188.89 1,333.33 8,724.93 8,724.93 15,510,982,827.42 12,332,308,499.38 5.556E-02 - 7,896.92 4.790E-05 - 2,638.491 -4.271E-05 - 2,352.65 - 2,638.49 - 10,249.57

2 - 1,188.89 533.33 8,724.93 8,724.93 2,481,757,252.39 12,332,308,499.38 5.556E-02 - 7,896.92 1.916E-05 - 1,055.396 -4.271E-05 - 2,352.65 - 1,055.40 - 10,249.57

3 - 1,188.89 - 266.67 8,724.93 8,724.93 620,439,313.10 12,332,308,499.38 5.556E-02 - 7,896.92 -9.579E-06 527.698 -4.271E-05 - 2,352.65 527.70 - 10,249.57

4 - 1,188.89 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 12,332,308,499.38 5.556E-02 - 7,896.92 -3.832E-05 2,110.793 -4.271E-05 - 2,352.65 2,110.79 - 10,249.57

5 - 588.89 1,333.33 8,724.93 8,724.93 15,510,982,827.42 3,025,718,802.93 5.556E-02 - 7,896.92 4.790E-05 - 2,638.491 -2.115E-05 - 1,165.33 - 2,638.49 - 9,062.25

6 - 588.89 533.33 8,724.93 8,724.93 2,481,757,252.39 3,025,718,802.93 5.556E-02 - 7,896.92 1.916E-05 - 1,055.396 -2.115E-05 - 1,165.33 - 1,055.40 - 9,062.25

7 - 588.89 - 266.67 8,724.93 8,724.93 620,439,313.10 3,025,718,802.93 5.556E-02 - 7,896.92 -9.579E-06 527.698 -2.115E-05 - 1,165.33 527.70 - 9,062.25

8 - 588.89 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 3,025,718,802.93 5.556E-02 - 7,896.92 -3.832E-05 2,110.793 -2.115E-05 - 1,165.33 2,110.79 - 9,062.25

9 111.11 1,333.33 8,724.93 8,724.93 15,510,982,827.42 107,715,158.52 5.556E-02 - 7,896.92 4.790E-05 - 2,638.491 3.991E-06 219.87 - 2,638.49 - 7,677.04

10 111.11 533.33 8,724.93 8,724.93 2,481,757,252.39 107,715,158.52 5.556E-02 - 7,896.92 1.916E-05 - 1,055.396 3.991E-06 219.87 - 1,055.40 - 7,677.04

11 111.11 - 266.67 8,724.93 8,724.93 620,439,313.10 107,715,158.52 5.556E-02 - 7,896.92 -9.579E-06 527.698 3.991E-06 219.87 527.70 - 7,677.04

12 111.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 107,715,158.52 5.556E-02 - 7,896.92 -3.832E-05 2,110.793 3.991E-06 219.87 2,110.79 - 7,677.04

13 811.11 533.33 8,724.93 8,724.93 2,481,757,252.39 5,740,140,797.73 5.556E-02 - 7,896.92 1.916E-05 - 1,055.396 2.914E-05 1,605.08 - 1,055.40 - 6,291.83

14 811.11 - 266.67 8,724.93 8,724.93 620,439,313.10 5,740,140,797.73 5.556E-02 - 7,896.92 -9.579E-06 527.698 2.914E-05 1,605.08 527.70 - 6,291.83

15 811.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 5,740,140,797.73 5.556E-02 - 7,896.92 -3.832E-05 2,110.793 2.914E-05 1,605.08 2,110.79 - 6,291.83

16 1,411.11 533.33 8,724.93 8,724.93 2,481,757,252.39 17,373,377,918.29 5.556E-02 - 7,896.92 1.916E-05 - 1,055.396 5.069E-05 2,792.40 - 1,055.40 - 5,104.51

17 1,411.11 - 266.67 8,724.93 8,724.93 620,439,313.10 17,373,377,918.29 5.556E-02 - 7,896.92 -9.579E-06 527.698 5.069E-05 2,792.40 527.70 - 5,104.51

18 1,411.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 17,373,377,918.29 5.556E-02 - 7,896.92 -3.832E-05 2,110.793 5.069E-05 2,792.40 2,110.79 - 5,104.51

sumatoria 157,048.70 157,048.70 111,679,076,357.40 131,203,525,991.42 1.00 0 - 26,384.91 - 142,144.49

ex (cm) = 68.68

V(ton) = 142,144.49 ex (cm) = - 387.54

KT = 242,882,602,348.82 ey (cm) = 355.06 - 142,144.49

Mt = - 55,087,291.33 ey (cm) = -163.2908255924

Nivel 12.00



1 - 1,300.00 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 4.107E-05 - 742.89 -6.674E-05 - 1,207.19 - 742.89 - 6,145.30

2 - 1,300.00 - 8,724.93 8,724.93 - 14,745,128,050.31 6.667E-02 - 4,938.11 0.000E+00 - -6.674E-05 - 1,207.19 - - 6,145.30

3 - 1,300.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 -4.107E-05 742.89 -6.674E-05 - 1,207.19 742.89 - 6,145.30

4 - 700.00 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 4.107E-05 - 742.89 -3.593E-05 - 650.03 - 742.89 - 5,588.13

5 - 700.00 - 8,724.93 8,724.93 - 4,275,214,641.81 6.667E-02 - 4,938.11 0.000E+00 - -3.593E-05 - 650.03 - - 5,588.13

6 - 700.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 -4.107E-05 742.89 -3.593E-05 - 650.03 742.89 - 5,588.13

7 - 800.00 8,724.93 8,724.93 5,583,953,817.87 - 6.667E-02 - 4,938.11 4.107E-05 - 742.89 0.000E+00 - - 742.89 - 4,938.11

8 - - 8,724.93 8,724.93 - - 6.667E-02 - 4,938.11 0.000E+00 - 0.000E+00 - - - 4,938.11

9 - - 800.00 8,724.93 8,724.93 5,583,953,817.87 - 6.667E-02 - 4,938.11 -4.107E-05 742.89 0.000E+00 - 742.89 - 4,938.11

10 700.00 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 4.107E-05 - 742.89 3.593E-05 650.03 - 742.89 - 4,288.08

11 700.00 - 8,724.93 8,724.93 - 4,275,214,641.81 6.667E-02 - 4,938.11 0.000E+00 - 3.593E-05 650.03 - - 4,288.08

12 700.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 -4.107E-05 742.89 3.593E-05 650.03 742.89 - 4,288.08

13 1,300.00 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 4.107E-05 - 742.89 6.674E-05 1,207.19 - 742.89 - 3,730.91

14 1,300.00 - 8,724.93 8,724.93 - 14,745,128,050.31 6.667E-02 - 4,938.11 0.000E+00 - 6.674E-05 1,207.19 - - 3,730.91

15 1,300.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 -4.107E-05 742.89 6.674E-05 1,207.19 742.89 - 3,730.91

sumatoria 130,873.92 130,873.92 55,839,538,178.70 114,122,056,152.72 1.00 7,428.88 - 74,071.60

ex (cm) = 283.6790047126

V(ton) = 74,071.60 ex (cm) = - 244.21

KT = 169,961,594,331.42 ey (cm) = 226.59

Mt = - 18,089,320.98 ey (cm) = -248.9368228668

Nivel 4.00


Columna Xt (cm) Yt (cm) kx (kg/cm) ky (kg/cm) kx·Yt^2 (kg-cm) ky·Xt^2 (kg-cm) fx Fx (kg) fx Fx (kg) fy Fy (kg) Fx Fy

1 - 1,188.89 1,333.33 2,181.23 2,181.23 3,877,745,706.85 3,083,077,124.85 5.556E-02 - 9,787.83 4.790E-05 -2118.047726027 -4.271E-05 - 1,888.59 - 11,905.88 - 1,888.59

2 - 1,188.89 533.33 2,181.23 2,181.23 620,439,313.10 3,083,077,124.85 5.556E-02 - 9,787.83 1.916E-05 -847.2190904108 -4.271E-05 - 1,888.59 - 10,635.05 - 1,888.59

3 - 1,188.89 - 266.67 2,181.23 2,181.23 155,109,828.27 3,083,077,124.85 5.556E-02 - 9,787.83 -9.579E-06 423.6095452054 -4.271E-05 - 1,888.59 - 9,364.22 - 1,888.59

4 - 1,188.89 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 3,083,077,124.85 5.556E-02 - 9,787.83 -3.832E-05 1694.438180822 -4.271E-05 - 1,888.59 - 8,093.39 - 1,888.59

5 - 588.89 1,333.33 2,181.23 2,181.23 3,877,745,706.85 756,429,700.73 5.556E-02 - 9,787.83 4.790E-05 -2118.047726027 -2.115E-05 - 935.47 - 11,905.88 - 935.47

6 - 588.89 533.33 2,181.23 2,181.23 620,439,313.10 756,429,700.73 5.556E-02 - 9,787.83 1.916E-05 -847.2190904108 -2.115E-05 - 935.47 - 10,635.05 - 935.47

7 - 588.89 - 266.67 2,181.23 2,181.23 155,109,828.27 756,429,700.73 5.556E-02 - 9,787.83 -9.579E-06 423.6095452054 -2.115E-05 - 935.47 - 9,364.22 - 935.47

8 - 588.89 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 756,429,700.73 5.556E-02 - 9,787.83 -3.832E-05 1694.438180822 -2.115E-05 - 935.47 - 8,093.39 - 935.47

9 111.11 1,333.33 2,181.23 2,181.23 3,877,745,706.85 26,928,789.63 5.556E-02 - 9,787.83 4.790E-05 -2118.047726027 3.991E-06 176.50 - 11,905.88 176.50

10 111.11 533.33 2,181.23 2,181.23 620,439,313.10 26,928,789.63 5.556E-02 - 9,787.83 1.916E-05 -847.2190904108 3.991E-06 176.50 - 10,635.05 176.50

11 111.11 - 266.67 2,181.23 2,181.23 155,109,828.27 26,928,789.63 5.556E-02 - 9,787.83 -9.579E-06 423.6095452054 3.991E-06 176.50 - 9,364.22 176.50

12 111.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 26,928,789.63 5.556E-02 - 9,787.83 -3.832E-05 1694.438180822 3.991E-06 176.50 - 8,093.39 176.50

13 811.11 533.33 2,181.23 2,181.23 620,439,313.10 1,435,035,199.43 5.556E-02 - 9,787.83 1.916E-05 -847.2190904108 2.914E-05 1,288.48 - 10,635.05 1,288.48

14 811.11 - 266.67 2,181.23 2,181.23 155,109,828.27 1,435,035,199.43 5.556E-02 - 9,787.83 -9.579E-06 423.6095452054 2.914E-05 1,288.48 - 9,364.22 1,288.48

15 811.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 1,435,035,199.43 5.556E-02 - 9,787.83 -3.832E-05 1694.438180822 2.914E-05 1,288.48 - 8,093.39 1,288.48

16 1,411.11 533.33 2,181.23 2,181.23 620,439,313.10 4,343,344,479.57 5.556E-02 - 9,787.83 1.916E-05 -847.2190904108 5.069E-05 2,241.60 - 10,635.05 2,241.60

17 1,411.11 - 266.67 2,181.23 2,181.23 155,109,828.27 4,343,344,479.57 5.556E-02 - 9,787.83 -9.579E-06 423.6095452054 5.069E-05 2,241.60 - 9,364.22 2,241.60

18 1,411.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 4,343,344,479.57 5.556E-02 - 9,787.83 -3.832E-05 1694.438180822 5.069E-05 2,241.60 - 8,093.39 2,241.60

sumatoria 39,262.18 39,262.18 27,919,769,089.35 32,800,881,497.85 1.00 0 - - 176,180.93 22,592.51

ex (cm) = 201.08

V(kg) = 176,180.93 ex (cm) = - 299.28

KT = 60,720,650,587.21 ey (cm) = 223.50

Mt = - 44,221,306.44 ey (cm) = - 251.00

Nivel 8.00



1 - 1,188.89 1,333.33 8,724.93 8,724.93 15,510,982,827.42 12,332,308,499.38 5.556E-02 - 7,896.92 4.790E-05 - 1,111.721 -4.271E-05 - 991.28 - 9,008.64 - 991.28

2 - 1,188.89 533.33 8,724.93 8,724.93 2,481,757,252.39 12,332,308,499.38 5.556E-02 - 7,896.92 1.916E-05 - 444.689 -4.271E-05 - 991.28 - 8,341.60 - 991.28

3 - 1,188.89 - 266.67 8,724.93 8,724.93 620,439,313.10 12,332,308,499.38 5.556E-02 - 7,896.92 -9.579E-06 222.344 -4.271E-05 - 991.28 - 7,674.57 - 991.28

4 - 1,188.89 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 12,332,308,499.38 5.556E-02 - 7,896.92 -3.832E-05 889.377 -4.271E-05 - 991.28 - 7,007.54 - 991.28

5 - 588.89 1,333.33 8,724.93 8,724.93 15,510,982,827.42 3,025,718,802.93 5.556E-02 - 7,896.92 4.790E-05 - 1,111.721 -2.115E-05 - 491.01 - 9,008.64 - 491.01

6 - 588.89 533.33 8,724.93 8,724.93 2,481,757,252.39 3,025,718,802.93 5.556E-02 - 7,896.92 1.916E-05 - 444.689 -2.115E-05 - 491.01 - 8,341.60 - 491.01

7 - 588.89 - 266.67 8,724.93 8,724.93 620,439,313.10 3,025,718,802.93 5.556E-02 - 7,896.92 -9.579E-06 222.344 -2.115E-05 - 491.01 - 7,674.57 - 491.01

8 - 588.89 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 3,025,718,802.93 5.556E-02 - 7,896.92 -3.832E-05 889.377 -2.115E-05 - 491.01 - 7,007.54 - 491.01

9 111.11 1,333.33 8,724.93 8,724.93 15,510,982,827.42 107,715,158.52 5.556E-02 - 7,896.92 4.790E-05 - 1,111.721 3.991E-06 92.64 - 9,008.64 92.64

10 111.11 533.33 8,724.93 8,724.93 2,481,757,252.39 107,715,158.52 5.556E-02 - 7,896.92 1.916E-05 - 444.689 3.991E-06 92.64 - 8,341.60 92.64

11 111.11 - 266.67 8,724.93 8,724.93 620,439,313.10 107,715,158.52 5.556E-02 - 7,896.92 -9.579E-06 222.344 3.991E-06 92.64 - 7,674.57 92.64

12 111.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 107,715,158.52 5.556E-02 - 7,896.92 -3.832E-05 889.377 3.991E-06 92.64 - 7,007.54 92.64

13 811.11 533.33 8,724.93 8,724.93 2,481,757,252.39 5,740,140,797.73 5.556E-02 - 7,896.92 1.916E-05 - 444.689 2.914E-05 676.30 - 8,341.60 676.30

14 811.11 - 266.67 8,724.93 8,724.93 620,439,313.10 5,740,140,797.73 5.556E-02 - 7,896.92 -9.579E-06 222.344 2.914E-05 676.30 - 7,674.57 676.30

15 811.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 5,740,140,797.73 5.556E-02 - 7,896.92 -3.832E-05 889.377 2.914E-05 676.30 - 7,007.54 676.30

16 1,411.11 533.33 8,724.93 8,724.93 2,481,757,252.39 17,373,377,918.29 5.556E-02 - 7,896.92 1.916E-05 - 444.689 5.069E-05 1,176.57 - 8,341.60 1,176.57

17 1,411.11 - 266.67 8,724.93 8,724.93 620,439,313.10 17,373,377,918.29 5.556E-02 - 7,896.92 -9.579E-06 222.344 5.069E-05 1,176.57 - 7,674.57 1,176.57

18 1,411.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 17,373,377,918.29 5.556E-02 - 7,896.92 -3.832E-05 889.377 5.069E-05 1,176.57 - 7,007.54 1,176.57

sumatoria 157,048.70 157,048.70 111,679,076,357.40 131,203,525,991.42 1.00 0 - - 142,144.49 11,858.36

ex (cm) = 68.68349106153

V(ton) = 142,144.49 ex (cm) = - 387.54

KT = 242,882,602,348.82 ey (cm) = 355.06

Mt = - 23,210,890.65 ey (cm) = -163.2908255924

Nivel 12.00



1 - 1,300.00 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 4.107E-05 - 757.25 -6.674E-05 - 1,230.54 - 5,695.36 - 1,230.54

2 - 1,300.00 - 8,724.93 8,724.93 - 14,745,128,050.31 6.667E-02 - 4,938.11 0.000E+00 - -6.674E-05 - 1,230.54 - 4,938.11 - 1,230.54

3 - 1,300.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 -4.107E-05 757.25 -6.674E-05 - 1,230.54 - 4,180.85 - 1,230.54

4 - 700.00 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 4.107E-05 - 757.25 -3.593E-05 - 662.60 - 5,695.36 - 662.60

5 - 700.00 - 8,724.93 8,724.93 - 4,275,214,641.81 6.667E-02 - 4,938.11 0.000E+00 - -3.593E-05 - 662.60 - 4,938.11 - 662.60

6 - 700.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 -4.107E-05 757.25 -3.593E-05 - 662.60 - 4,180.85 - 662.60

7 - 800.00 8,724.93 8,724.93 5,583,953,817.87 - 6.667E-02 - 4,938.11 4.107E-05 - 757.25 0.000E+00 - - 5,695.36 -

8 - - 8,724.93 8,724.93 - - 6.667E-02 - 4,938.11 0.000E+00 - 0.000E+00 - - 4,938.11 -

9 - - 800.00 8,724.93 8,724.93 5,583,953,817.87 - 6.667E-02 - 4,938.11 -4.107E-05 757.25 0.000E+00 - - 4,180.85 -

10 700.00 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 4.107E-05 - 757.25 3.593E-05 662.60 - 5,695.36 662.60

11 700.00 - 8,724.93 8,724.93 - 4,275,214,641.81 6.667E-02 - 4,938.11 0.000E+00 - 3.593E-05 662.60 - 4,938.11 662.60

12 700.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 -4.107E-05 757.25 3.593E-05 662.60 - 4,180.85 662.60

13 1,300.00 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 4.107E-05 - 757.25 6.674E-05 1,230.54 - 5,695.36 1,230.54

14 1,300.00 - 8,724.93 8,724.93 - 14,745,128,050.31 6.667E-02 - 4,938.11 0.000E+00 - 6.674E-05 1,230.54 - 4,938.11 1,230.54

15 1,300.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 -4.107E-05 757.25 6.674E-05 1,230.54 - 4,180.85 1,230.54

sumatoria 130,873.92 130,873.92 55,839,538,178.70 114,122,056,152.72 1.00 - 74,071.60 11,358.82

ex (cm) = 283.6790047126

V(ton) = 74,071.60 ex (cm) = - 244.21

KT = 169,961,594,331.42 ey (cm) = 226.59

Mt = - 18,439,148.25 ey (cm) = -248.9368228668

Nivel 4.00



1 - 1,188.89 1,333.33 2,181.23 2,181.23 3,877,745,706.85 3,083,077,124.85 5.556E-02 - 9,787.83 4.790E-05 1696.794600736 -4.271E-05 1,512.98 1,696.79 - 8,274.85

2 - 1,188.89 533.33 2,181.23 2,181.23 620,439,313.10 3,083,077,124.85 5.556E-02 - 9,787.83 1.916E-05 678.7178402945 -4.271E-05 1,512.98 678.72 - 8,274.85

3 - 1,188.89 - 266.67 2,181.23 2,181.23 155,109,828.27 3,083,077,124.85 5.556E-02 - 9,787.83 -9.579E-06 -339.3589201472 -4.271E-05 1,512.98 - 339.36 - 8,274.85

4 - 1,188.89 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 3,083,077,124.85 5.556E-02 - 9,787.83 -3.832E-05 -1357.435680589 -4.271E-05 1,512.98 - 1,357.44 - 8,274.85

5 - 588.89 1,333.33 2,181.23 2,181.23 3,877,745,706.85 756,429,700.73 5.556E-02 - 9,787.83 4.790E-05 1696.794600736 -2.115E-05 749.42 1,696.79 - 9,038.41

6 - 588.89 533.33 2,181.23 2,181.23 620,439,313.10 756,429,700.73 5.556E-02 - 9,787.83 1.916E-05 678.7178402945 -2.115E-05 749.42 678.72 - 9,038.41

7 - 588.89 - 266.67 2,181.23 2,181.23 155,109,828.27 756,429,700.73 5.556E-02 - 9,787.83 -9.579E-06 -339.3589201472 -2.115E-05 749.42 - 339.36 - 9,038.41

8 - 588.89 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 756,429,700.73 5.556E-02 - 9,787.83 -3.832E-05 -1357.435680589 -2.115E-05 749.42 - 1,357.44 - 9,038.41

9 111.11 1,333.33 2,181.23 2,181.23 3,877,745,706.85 26,928,789.63 5.556E-02 - 9,787.83 4.790E-05 1696.794600736 3.991E-06 - 141.40 1,696.79 - 9,929.23

10 111.11 533.33 2,181.23 2,181.23 620,439,313.10 26,928,789.63 5.556E-02 - 9,787.83 1.916E-05 678.7178402945 3.991E-06 - 141.40 678.72 - 9,929.23

11 111.11 - 266.67 2,181.23 2,181.23 155,109,828.27 26,928,789.63 5.556E-02 - 9,787.83 -9.579E-06 -339.3589201472 3.991E-06 - 141.40 - 339.36 - 9,929.23

12 111.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 26,928,789.63 5.556E-02 - 9,787.83 -3.832E-05 -1357.435680589 3.991E-06 - 141.40 - 1,357.44 - 9,929.23

13 811.11 533.33 2,181.23 2,181.23 620,439,313.10 1,435,035,199.43 5.556E-02 - 9,787.83 1.916E-05 678.7178402945 2.914E-05 - 1,032.22 678.72 - 10,820.05

14 811.11 - 266.67 2,181.23 2,181.23 155,109,828.27 1,435,035,199.43 5.556E-02 - 9,787.83 -9.579E-06 -339.3589201472 2.914E-05 - 1,032.22 - 339.36 - 10,820.05

15 811.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 1,435,035,199.43 5.556E-02 - 9,787.83 -3.832E-05 -1357.435680589 2.914E-05 - 1,032.22 - 1,357.44 - 10,820.05

16 1,411.11 533.33 2,181.23 2,181.23 620,439,313.10 4,343,344,479.57 5.556E-02 - 9,787.83 1.916E-05 678.7178402945 5.069E-05 - 1,795.77 678.72 - 11,583.60

17 1,411.11 - 266.67 2,181.23 2,181.23 155,109,828.27 4,343,344,479.57 5.556E-02 - 9,787.83 -9.579E-06 -339.3589201472 5.069E-05 - 1,795.77 - 339.36 - 11,583.60

18 1,411.11 - 1,066.67 2,181.23 2,181.23 2,481,757,252.39 4,343,344,479.57 5.556E-02 - 9,787.83 -3.832E-05 -1357.435680589 5.069E-05 - 1,795.77 - 1,357.44 - 11,583.60

sumatoria 39,262.18 39,262.18 27,919,769,089.35 32,800,881,497.85 1.00 0 - 16,967.95 - 176,180.93

ex (cm) = 201.0787599949

V(kg) = 176,180.93 ex (cm) = - 299.28

KT = 60,720,650,587.21 ey (cm) = 223.50

Mt = 35,426,243.27 ey (cm) = -250.9993903651

Nivel 8.00



1 - 1,188.89 1,333.33 8,724.93 8,724.93 15,510,982,827.42 12,332,308,499.38 5.556E-02 - 7,896.92 4.790E-05 467.613 -4.271E-05 416.95 467.61 - 7,479.96

2 - 1,188.89 533.33 8,724.93 8,724.93 2,481,757,252.39 12,332,308,499.38 5.556E-02 - 7,896.92 1.916E-05 187.045 -4.271E-05 416.95 187.05 - 7,479.96

3 - 1,188.89 - 266.67 8,724.93 8,724.93 620,439,313.10 12,332,308,499.38 5.556E-02 - 7,896.92 -9.579E-06 - 93.523 -4.271E-05 416.95 - 93.52 - 7,479.96

4 - 1,188.89 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 12,332,308,499.38 5.556E-02 - 7,896.92 -3.832E-05 - 374.090 -4.271E-05 416.95 - 374.09 - 7,479.96

5 - 588.89 1,333.33 8,724.93 8,724.93 15,510,982,827.42 3,025,718,802.93 5.556E-02 - 7,896.92 4.790E-05 467.613 -2.115E-05 206.53 467.61 - 7,690.39

6 - 588.89 533.33 8,724.93 8,724.93 2,481,757,252.39 3,025,718,802.93 5.556E-02 - 7,896.92 1.916E-05 187.045 -2.115E-05 206.53 187.05 - 7,690.39

7 - 588.89 - 266.67 8,724.93 8,724.93 620,439,313.10 3,025,718,802.93 5.556E-02 - 7,896.92 -9.579E-06 - 93.523 -2.115E-05 206.53 - 93.52 - 7,690.39

8 - 588.89 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 3,025,718,802.93 5.556E-02 - 7,896.92 -3.832E-05 - 374.090 -2.115E-05 206.53 - 374.09 - 7,690.39

9 111.11 1,333.33 8,724.93 8,724.93 15,510,982,827.42 107,715,158.52 5.556E-02 - 7,896.92 4.790E-05 467.613 3.991E-06 - 38.97 467.61 - 7,935.88

10 111.11 533.33 8,724.93 8,724.93 2,481,757,252.39 107,715,158.52 5.556E-02 - 7,896.92 1.916E-05 187.045 3.991E-06 - 38.97 187.05 - 7,935.88

11 111.11 - 266.67 8,724.93 8,724.93 620,439,313.10 107,715,158.52 5.556E-02 - 7,896.92 -9.579E-06 - 93.523 3.991E-06 - 38.97 - 93.52 - 7,935.88

12 111.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 107,715,158.52 5.556E-02 - 7,896.92 -3.832E-05 - 374.090 3.991E-06 - 38.97 - 374.09 - 7,935.88

13 811.11 533.33 8,724.93 8,724.93 2,481,757,252.39 5,740,140,797.73 5.556E-02 - 7,896.92 1.916E-05 187.045 2.914E-05 - 284.46 187.05 - 8,181.38

14 811.11 - 266.67 8,724.93 8,724.93 620,439,313.10 5,740,140,797.73 5.556E-02 - 7,896.92 -9.579E-06 - 93.523 2.914E-05 - 284.46 - 93.52 - 8,181.38

15 811.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 5,740,140,797.73 5.556E-02 - 7,896.92 -3.832E-05 - 374.090 2.914E-05 - 284.46 - 374.09 - 8,181.38

16 1,411.11 533.33 8,724.93 8,724.93 2,481,757,252.39 17,373,377,918.29 5.556E-02 - 7,896.92 1.916E-05 187.045 5.069E-05 - 494.89 187.05 - 8,391.81

17 1,411.11 - 266.67 8,724.93 8,724.93 620,439,313.10 17,373,377,918.29 5.556E-02 - 7,896.92 -9.579E-06 - 93.523 5.069E-05 - 494.89 - 93.52 - 8,391.81

18 1,411.11 - 1,066.67 8,724.93 8,724.93 9,927,029,009.55 17,373,377,918.29 5.556E-02 - 7,896.92 -3.832E-05 - 374.090 5.069E-05 - 494.89 - 374.09 - 8,391.81

sumatoria 157,048.70 157,048.70 111,679,076,357.40 131,203,525,991.42 1.00 0 - 4,676.13 - 142,144.49

ex (cm) = 68.68349106153

V(ton) = 142,144.49 ex (cm) = - 387.54

KT = 242,882,602,348.82 ey (cm) = 355.06

Mt = 9,762,979.61 ey (cm) = -163.2908255924

Nivel 12.00



1 - 1,300.00 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 4.107E-05 862.94 -6.674E-05 1,402.28 862.94 - 3,535.83

2 - 1,300.00 - 8,724.93 8,724.93 - 14,745,128,050.31 6.667E-02 - 4,938.11 0.000E+00 - -6.674E-05 1,402.28 - - 3,535.83

3 - 1,300.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 -4.107E-05 - 862.94 -6.674E-05 1,402.28 - 862.94 - 3,535.83

4 - 700.00 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 4.107E-05 862.94 -3.593E-05 755.07 862.94 - 4,183.04

5 - 700.00 - 8,724.93 8,724.93 - 4,275,214,641.81 6.667E-02 - 4,938.11 0.000E+00 - -3.593E-05 755.07 - - 4,183.04

6 - 700.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 -4.107E-05 - 862.94 -3.593E-05 755.07 - 862.94 - 4,183.04

7 - 800.00 8,724.93 8,724.93 5,583,953,817.87 - 6.667E-02 - 4,938.11 4.107E-05 862.94 0.000E+00 - 862.94 - 4,938.11

8 - - 8,724.93 8,724.93 - - 6.667E-02 - 4,938.11 0.000E+00 - 0.000E+00 - - - 4,938.11

9 - - 800.00 8,724.93 8,724.93 5,583,953,817.87 - 6.667E-02 - 4,938.11 -4.107E-05 - 862.94 0.000E+00 - - 862.94 - 4,938.11

10 700.00 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 4.107E-05 862.94 3.593E-05 - 755.07 862.94 - 5,693.18

11 700.00 - 8,724.93 8,724.93 - 4,275,214,641.81 6.667E-02 - 4,938.11 0.000E+00 - 3.593E-05 - 755.07 - - 5,693.18

12 700.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 4,275,214,641.81 6.667E-02 - 4,938.11 -4.107E-05 - 862.94 3.593E-05 - 755.07 - 862.94 - 5,693.18

13 1,300.00 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 4.107E-05 862.94 6.674E-05 - 1,402.28 862.94 - 6,340.38

14 1,300.00 - 8,724.93 8,724.93 - 14,745,128,050.31 6.667E-02 - 4,938.11 0.000E+00 - 6.674E-05 - 1,402.28 - - 6,340.38

15 1,300.00 - 800.00 8,724.93 8,724.93 5,583,953,817.87 14,745,128,050.31 6.667E-02 - 4,938.11 -4.107E-05 - 862.94 6.674E-05 - 1,402.28 - 862.94 - 6,340.38

sumatoria 130,873.92 130,873.92 55,839,538,178.70 114,122,056,152.72 1.00 7,766.45 - 74,071.60

ex (cm) = 283.6790047126

V(ton) = 74,071.60 ex (cm) = - 244.21

KT = 169,961,594,331.42 ey (cm) = 226.59

Mt = 21,012,557.17 ey (cm) = -248.9368228668

Fuerza 1 Fuerza 2 Fuerza 3Nivel Fx(sumatoria) Fy(sumatoria) Fx(sumatoria) Fy(sumatoria) Fx(sumatoria)

4 - 176,180.93 20,117.37 25,254.69 - 176,180.93 - 176,180.93

8 - 142,144.49 25,796.57 26,384.91 - 142,144.49 - 142,144.49

12 - 74,071.60 10,339.37 7,428.88 - 74,071.60 - 74,071.60

sumatoria 392,397.02 56,253.30 59,068.47 392,397.02 392,397.02

Fuerza 3 Fuerza 4Fy(sumatoria) Fx(sumatoria) Fy(sumatoria) 22,592.51 16,967.95 - 176,180.93

11,858.36 4,676.13 - 142,144.49

11,358.82 7,766.45 - 74,071.60

45,809.69 29,410.52 392,397.02

Nivel 4.00

Corte final

Columna Fx Fy Eje Fuerza

1 - 2,525.47 - 12,039.71 A - 48,158.82

2 - 1,010.19 - 12,039.71 B - 43,612.98

3 505.09 - 12,039.71 C - 38,309.50

4 2,020.37 - 12,039.71 D - 24,754.51

5 - 2,525.47 - 10,903.24 E - 21,345.13

6 - 1,010.19 - 10,903.24 1 10,101.87

7 505.09 - 10,903.24 2 2,525.47

8 2,020.37 - 10,903.24 3 - 5,050.94

9 - 2,525.47 - 9,577.37 4 - 7,576.41

10 - 1,010.19 - 9,577.37

11 505.09 - 9,577.37

12 2,020.37 - 9,577.37

13 - 1,010.19 - 8,251.50

14 505.09 - 8,251.50

15 2,020.37 - 8,251.50

16 - 1,010.19 - 7,115.04

17 505.09 - 7,115.04 Eje 1

18 2,020.37 - 7,115.04

sumatoria - - 176,180.93 nivel

12

8

4

Nivel 8.00

Corte final Eje 2


1 - 2,638.49 - 10,249.57 A - 40,998.28 nivel

2 - 1,055.40 - 10,249.57 B - 36,249.00 12

3 527.70 - 10,249.57 C - 30,708.17 8

4 2,110.79 - 10,249.57 D - 18,875.50 4

5 - 2,638.49 - 9,062.25 E - 15,313.54

6 - 1,055.40 - 9,062.25 1 10,553.96

7 527.70 - 9,062.25 2 2,638.49 Eje 3

8 2,110.79 - 9,062.25 3 - 5,276.98

9 - 2,638.49 - 7,677.04 4 - 7,915.47 nivel

10 - 1,055.40 - 7,677.04 12

11 527.70 - 7,677.04 8

12 2,110.79 - 7,677.04 4

13 - 1,055.40 - 6,291.83

14 527.70 - 6,291.83 Eje 4

15 2,110.79 - 6,291.83

16 - 1,055.40 - 5,104.51 nivel

17 527.70 - 5,104.51 12

18 2,110.79 - 5,104.51 8

sumatoria - - 142,144.49 4

Nivel 12.00

Corte final


1 - 742.89 - 6,145.30 A - 18,435.90

2 - - 6,145.30 B - 16,764.40

3 742.89 - 6,145.30 C - 14,814.32

4 - 742.89 - 5,588.13 D - 12,864.24

5 - - 5,588.13 E - 11,192.74

6 742.89 - 5,588.13 1 3,714.44

7 - 742.89 - 4,938.11 2 -

8 - - 4,938.11 3 - 3,714.44

9 742.89 - 4,938.11

10 - 742.89 - 4,288.08

11 - - 4,288.08

12 742.89 - 4,288.08

13 - 742.89 - 3,730.91

14 - - 3,730.91

15 742.89 - 3,730.91

sumatoria - - 74,071.60

Eje A

fuerza nodal fuerza nodal (N) nivel fuerza nodal (kg) fuerza nodal (N)

3,714.44 36,439 12 - 18,435.90 - 180,856

6,839.52 67,096 8 - 22,562.38 - 221,337

- 452.09 - 4,435 4 - 7,160.54 - 70,245

Eje B

fuerza nodal fuerza nodal (N) nivel fuerza nodal fuerza nodal (N)

- - 12 - 16,764.40 - 164,459

2,638.49 25,884 8 - 19,484.60 - 191,144

- 113.02 - 1,109 4 - 7,363.98 - 72,241

Eje C


- 3,714.44 - 36,439 12 - 14,814.32 - 145,328

- 1,562.54 - 15,329 8 - 15,893.85 - 155,919

226.04 2,217 4 - 7,601.33 - 74,569

Eje D


- - 12 - 12,864.24 - 126,198

- 7,915.47 - 77,651 8 - 6,011.26 - 58,970

339.07 3,326 4 - 5,879.01 - 57,673

Eje E

nivel fuerza nodal fuerza nodal (N)

12 - 11,192.74 - 109,801

8 - 4,120.80 - 40,425

4 - 6,031.59 - 59,170

Nivel 4.00

Corte final


1 - 7,901.83 1,681.69 A 6,726.74

2 - 9,033.43 1,681.69 B 3,331.94

3 - 10,165.03 1,681.69 C - 628.67

4 - 11,296.63 1,681.69 D - 3,441.96

5 - 7,901.83 832.98 E - 5,988.06

6 - 9,033.43 832.98 1 - 56,483.16

7 - 10,165.03 832.98 2 - 50,825.15

8 - 11,296.63 832.98 3 - 45,167.14

9 - 7,901.83 - 157.17 4 - 23,705.48

10 - 9,033.43 - 157.17

11 - 10,165.03 - 157.17

12 - 11,296.63 - 157.17

13 - 9,033.43 - 1,147.32

14 - 10,165.03 - 1,147.32

15 - 11,296.63 - 1,147.32

16 - 9,033.43 - 1,996.02

17 - 10,165.03 - 1,996.02

18 - 11,296.63 - 1,996.02

sumatoria - 176,180.93 -

Nivel 8.00

Corte final


1 - 5,478.49 2,156.43 A 8,625.73

2 - 6,929.54 2,156.43 B 4,272.56

3 - 8,380.60 2,156.43 C - 806.14

4 - 9,831.66 2,156.43 D - 4,413.63

5 - 5,478.49 1,068.14 E - 7,678.51

6 - 6,929.54 1,068.14 1 - 49,158.29

7 - 8,380.60 1,068.14 2 - 41,903.01

8 - 9,831.66 1,068.14 3 - 34,647.72

9 - 5,478.49 - 201.54 4 - 16,435.46

10 - 6,929.54 - 201.54

11 - 8,380.60 - 201.54

12 - 9,831.66 - 201.54

13 - 6,929.54 - 1,471.21

14 - 8,380.60 - 1,471.21

15 - 9,831.66 - 1,471.21

16 - 6,929.54 - 2,559.50

17 - 8,380.60 - 2,559.50

18 - 9,831.66 - 2,559.50

sumatoria - 142,144.49 -

Nivel 12.00

Corte final


1 - 4,248.82 1,120.10 A 3,360.29

2 - 4,938.11 1,120.10 B 1,809.39

3 - 5,627.40 1,120.10 C -

4 - 4,248.82 603.13 D - 1,809.39

5 - 4,938.11 603.13 E - 3,360.29

6 - 5,627.40 603.13 1 - 28,136.99

7 - 4,248.82 - 2 - 24,690.53

8 - 4,938.11 - 3 - 21,244.08

9 - 5,627.40 -

10 - 4,248.82 - 603.13

11 - 4,938.11 - 603.13

12 - 5,627.40 - 603.13

13 - 4,248.82 - 1,120.10

14 - 4,938.11 - 1,120.10

15 - 5,627.40 - 1,120.10

sumatoria - 74,071.60 -

Eje 1 Eje A

nivel fuerza nodal fuerza nodal (N) nivel fuerza nodal (kg) fuerza nodal (N)

12 - 28,136.99 - 276,024 12 3,360.29 32,964

8 - 21,021.30 - 206,219 8 5,265.43 51,654

4 - 7,324.87 - 71,857 4 - 1,898.98 - 18,629

Eje 2 Eje B

nivel fuerza nodal fuerza nodal (N) nivel fuerza nodal fuerza nodal (N)

12 - 24,690.53 - 242,214 12 1,809.39 17,750

8 - 17,212.48 - 168,854 8 2,463.17 24,164

4 - 8,922.14 - 87,526 4 - 940.62 - 9,227

Eje 3 Eje C


12 - 21,244.08 - 208,404 12 - -

8 - 13,403.65 - 131,490 8 - 806.14 - 7,908

4 - 10,519.42 - 103,195 4 177.48 1,741

Eje 4 Eje D


12 - - 12 - 1,809.39 - 17,750

8 - 16,435.46 - 161,232 8 - 2,604.24 - 25,548

4 - 7,270.02 - 71,319 4 971.68 9,532

Eje E

nivel fuerza nodal fuerza nodal (N)

12 - 3,360.29 - 32,964

8 - 4,318.22 - 42,362

4 1,690.45 16,583

calculos, cortantes para sismos (corregido)

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