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CALCULO DE DISTRIBUCION DE ESFUER CONSIDERANDO : k = 3 Pz = 8.1 Radio (a) = 1 Para : Ѳ = 0 RADIO 1.0 0.0000000 64.8000000 0.0000000 1.2 7.6312500 47.2687500 0.0000000 1.4 10.0398167 38.8907955 0.0000000 1.6 10.7202393 34.3360107 0.0000000 1.8 10.7851852 31.6148148 0.0000000 2.0 10.6312500 29.8687500 0.0000000 2.2 10.4097808 28.6844341 0.0000000 2.4 10.1800781 27.8449219 0.0000000 2.6 9.9646931 27.2282063 0.0000000 2.8 9.7709834 26.7616696 0.0000000 3.0 9.6000000 26.4000000 0.0000000 3.2 9.4502884 26.1137741 0.0000000 3.4 9.3195436 25.8832246 0.0000000 3.6 9.2053241 25.6946759 0.0000000 3.8 9.1053445 25.5384228 0.0000000 4.0 9.0175781 25.4074219 0.0000000 4.2 8.9402749 25.2964598 0.0000000 4.4 8.8719439 25.2016098 0.0000000 4.6 8.8113236 25.1198674 0.0000000 4.8 8.7573486 25.0489014 0.0000000 5.0 8.7091200 24.9868800 0.0000000 ESFUERZO RADIAL (σr) ESFUERZO TANGENCIAL (σθ) ESFUERZO DE CORTE (τrθ)

Distribucion de Esfuerzos - Mecanica de Rocas 2

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Page 1: Distribucion de Esfuerzos - Mecanica de Rocas 2

CALCULO DE DISTRIBUCION DE ESFUERZOS PARA UNA EXCAVACION CIRCULAR

CONSIDERANDO :

k = 3Pz = 8.1

Radio (a) = 1

Para : Ѳ = 0

RADIO

1.0 0.0000000 64.8000000 0.00000001.2 7.6312500 47.2687500 0.00000001.4 10.0398167 38.8907955 0.00000001.6 10.7202393 34.3360107 0.00000001.8 10.7851852 31.6148148 0.00000002.0 10.6312500 29.8687500 0.00000002.2 10.4097808 28.6844341 0.00000002.4 10.1800781 27.8449219 0.00000002.6 9.9646931 27.2282063 0.00000002.8 9.7709834 26.7616696 0.00000003.0 9.6000000 26.4000000 0.00000003.2 9.4502884 26.1137741 0.00000003.4 9.3195436 25.8832246 0.00000003.6 9.2053241 25.6946759 0.00000003.8 9.1053445 25.5384228 0.00000004.0 9.0175781 25.4074219 0.00000004.2 8.9402749 25.2964598 0.00000004.4 8.8719439 25.2016098 0.00000004.6 8.8113236 25.1198674 0.00000004.8 8.7573486 25.0489014 0.00000005.0 8.7091200 24.9868800 0.0000000

ESFUERZO RADIAL (σr)

ESFUERZO TANGENCIAL

(σθ)

ESFUERZO DE CORTE (τrθ)

Page 2: Distribucion de Esfuerzos - Mecanica de Rocas 2

CALCULO DE DISTRIBUCION DE ESFUERZOS PARA UNA EXCAVACION CIRCULAR

64.8000000 0.0000000 7.8180532 0.120649047.2687500 7.6312500 64.6162535663 1.366997338.8907955 10.0398167 75.348171659 1.937429434.3360107 10.7202393 78.1981534791 2.277438531.6148148 10.7851852 78.4666281873 2.481957529.8687500 10.6312500 77.829309777 2.605710328.6844341 10.4097808 76.9063655443 2.681118427.8449219 10.1800781 75.941386321 2.727297527.2282063 9.9646931 75.0291802601 2.755568226.7616696 9.7709834 74.2024854254 2.772715126.4000000 9.6000000 73.4676861502 2.782866926.1137741 9.4502884 72.8202775158 2.788577325.8832246 9.3195436 72.2517423644 2.791450625.6946759 9.2053241 71.7526158374 2.792509125.5384228 9.1053445 71.3138061324 2.792412325.4074219 9.0175781 70.9271065061 2.791590125.2964598 8.9402749 70.5853342242 2.790324625.2016098 8.8719439 70.282303418 2.788802125.1198674 8.8113236 70.0127308179 2.787145725.0489014 8.7573486 69.7721212465 2.785436424.9868800 8.7091200 69.5566543043 2.7837271

ESFUERZO PRINCIPAL MAXIMO

(σ1)

ESFUERZO PRINCIPAL MINIMO

(σ3)

ESFUERZO EFECTIVO PRINCIPAL MAYOR (H

& B)

FACTOR DE SEGURIDAD

Page 3: Distribucion de Esfuerzos - Mecanica de Rocas 2

DATOSK = 3

Roca Cuarcita ----> mi = 20

200 Mpa

RMR = 55Densidad = 0.027 KN/m3

D = 0.4H = 300

CALCULOS CRITERIO H & BGSI = 50

S = 0.0016446a = 0.5057336

mi = 20 ----> Para roca cuarcita según Tablamb = 2.1459652

Resitencia comprensiva de la masa

rocosa