ESQUEMA GENERAL

METODO DE JANBU SIMPLIFICADO

2.85 Ton/m3

1.8 Ton/m2

40 ()

1 Ton/m3

0.117

5

0.5

METODO DE LAS DOVELAS - SIMPLIFICADO DE JANBU ESTABILIZACION DE TALUDES

GRAVA ARCILLOSA

Peso especifico:

Cohesion :

Angulo de friccion ():

Peso Esp. Agua

d/T:

z:

k:

Dovela b h hw () tg' W-ub tan h-w.hw

1 3.46 27.34 6.66 61.74 0.8 246.56 1.86 71.259

2 6.60 30.79 11.80 53.95 0.8 501.28 1.37 75.9515

3 8.95 31.87 15.23 44.01 0.8 676.62 0.97 75.5995

4 4.04 25.68 13.91 36.66 0.8 239.48 0.74 59.278

5 8.00 22.01 11.21 30.64 0.8 412.15 0.59 51.5185

6 4.04 17.77 8.89 24.86 0.8 168.69 0.46 41.7545

7 8.00 12.58 8.03 19.43 0.8 222.58 0.35 27.823

8 4.04 7.03 1.84 14.13 0.8 73.51 0.25 18.1955

GRAVA COMPACTA

ARCILLA SEMIRIGIDA

EL FACTOR DE SEGURIDAD ES MUY BAJO

0.85 < 1.5

SE TENDRA QUE ESTABILIZAR EL TALUD

FS calculado

c': cohesion en terminos de tensiones efectivas: [kN/m]

': angulo de friccion interna: []

: peso especifico del terreno: [kN/m]

w: peso especifico del agua: [9.8kN/m]

h: altura de la dovela en la parte media: [m]

hw: altura del nivel del agua: [m]

: angulo positivo o negativo de la base de la dovela con respecto

a la horizontal: []

b: ancho de la dovela: [m]

L: longitud de la base de la dovela: [m]

W: peso: [kN/m]

z: altura del nivel de agua en la grieta de traccion: [m]

METODO DE LAS DOVELAS - SIMPLIFICADO DE JANBU ESTABILIZACION DE TALUDES

tan.tan W*tan Itera.1 Itera.2 Itera.3 Itera.4

1.56 501.54 354.92 343.82 338.74 336.36

1.15 795.69 557.63 542.17 535.06 531.72

0.81 785.31 603.08 588.95 582.40 579.32

0.62 220.07 193.58 189.65 187.82 186.96

0.50 297.25 317.14 311.55 308.93 307.70

0.39 94.80 127.48 125.57 124.67 124.25

0.30 101.18 171.59 169.48 168.49 168.02

0.21 20.38 59.75 59.19 58.92 58.79

Sumatoria 2816.22 2385.16 2330.39 2305.05 2293.12

fo 1.05

Q 12.50

0.93 0.88 0.86 0.85

0.88 0.86 0.85 0.85

COEFICIENTE DE FORMA

FACTOR DE FORMA

fo= 0.88

FS(calculado)

FS(arbitrario)

METODO DE METODO DE LAS DOVELAS - FELLENIUS

2.85 Ton/m3

1.8 Ton/m2

40 ()

1 Ton/m3

Dovela b(m) h(m) () L=b/cos Area (m) W=*A hw u=*hw

1 3.46 27.34 61.74 7.31 94.60 269.60 6.66 6.6600

2 6.60 30.79 53.95 11.22 203.21 579.16 11.80 11.8000

3 8.95 31.87 44.01 12.44 285.24 812.92 15.23 15.2300

4 4.04 25.68 36.66 5.04 103.75 295.68 13.91 13.9100

5 8.00 22.01 30.64 9.30 176.08 501.83 11.21 11.2100

6 4.04 17.77 24.86 4.45 71.79 204.60 8.89 8.8900

7 8.00 12.58 19.43 8.48 100.64 286.82 8.03 8.0300

8 4.04 7.03 14.13 4.17 28.40 80.94 1.84 1.8400

METODO DE BISHOP

2.85 Ton/m3

1.8 Ton/m2

40 ()

1 Ton/m3

5

0.401

Dovela b(m) cb h hw W-ub tg' () tan

1 3.46 6.23 27.34 6.66 246.56 0.8 61.74 1.86

2 6.60 11.88 30.79 11.80 501.28 0.8 53.95 1.37

3 8.95 16.11 31.87 15.23 676.62 0.8 44.01 0.97

4 4.04 7.27 25.68 13.91 239.48 0.8 36.66 0.74

5 8.00 14.40 22.01 11.21 412.15 0.8 30.64 0.59

6 4.04 7.27 17.77 8.89 168.69 0.8 24.86 0.46

7 8.00 14.40 12.58 8.03 222.58 0.8 19.43 0.35

8 4.04 7.27 7.03 1.84 73.51 0.8 14.13 0.25

METODO DE JANBU SIMPLIFICADO

2.85 Ton/m3

1.8 Ton/m2

40 ()

1 Ton/m3

a/R

SUMATORIA

Peso especifico :

Cohesion :

Angulo de friccion ():

Peso Esp. Agua

Peso especifico :

Cohesion :

Angulo de friccion ():

Peso Esp. Agua

z

Peso especifico:

Cohesion :

Angulo de friccion ():

Peso Esp. Agua

GRAVA ARCILLOSA

0.117

5

0.5

Dovela b h hw () tg' W-ub tan h-w.hw

1 3.46 27.34 6.66 61.74 0.8 246.56 1.86 71.259

2 6.60 30.79 11.80 53.95 0.8 501.28 1.37 75.9515

3 8.95 31.87 15.23 44.01 0.8 676.62 0.97 75.5995

4 4.04 25.68 13.91 36.66 0.8 239.48 0.74 59.278

5 8.00 22.01 11.21 30.64 0.8 412.15 0.59 51.5185

6 4.04 17.77 8.89 24.86 0.8 168.69 0.46 41.7545

7 8.00 12.58 8.03 19.43 0.8 222.58 0.35 27.823

8 4.04 7.03 1.84 14.13 0.8 73.51 0.25 18.1955

GRAVA COMPACTA

ARCILLA SEMIRIGIDA

FS

METODO DE METODO DE LAS DOVELAS - FELLENIUS 0.76

METODO DE BISHOP 0.86

METODO DE JANBU SIMPLIFICADO 0.85

d/T:

z:

k:

c' ' c'*L+(Wcos-uL)tg Wsen

2 40 79.42 237.47

2 40 195.13 468.25

2 40 353.97 564.81

2 40 149.31 176.54

2 40 291.57 255.75

2 40 130.57 86.02

2 40 185.08 95.41

2 40 66.93 19.76

1451.99 1904.01

FS: 0.76

tan.tan cos Wsen Iterracion 1 Iter. 2 Iter. 3 Iter. 4

1.56 0.47 237.47 166.91 162.62 160.75 159.93

1.15 0.59 468.25 326.20 318.76 315.52 314.08

0.81 0.72 564.81 431.56 423.25 419.60 417.98

0.62 0.80 176.54 154.61 152.03 150.90 150.39

0.50 0.86 255.75 271.83 267.89 266.15 265.37

0.39 0.91 86.02 115.29 113.88 113.25 112.97

0.30 0.94 95.41 161.39 159.76 159.04 158.72

0.21 0.97 19.76 57.83 57.38 57.18 57.09

1685.62 1655.57 1642.39 1636.53

Q 5.01

0.92 0.88 0.87 0.86

0.88 0.87 0.86 0.86

SUMATORIA

Sumatoria

FS(arbitrario)

FS(calculado)

tan.tan W*tan Itera.1 Itera.2 Itera.3 Itera.4

1.56 501.54 354.92 343.82 338.74 336.36

1.15 795.69 557.63 542.17 535.06 531.72

0.81 785.31 603.08 588.95 582.40 579.32

0.62 220.07 193.58 189.65 187.82 186.96

0.50 297.25 317.14 311.55 308.93 307.70

0.39 94.80 127.48 125.57 124.67 124.25

0.30 101.18 171.59 169.48 168.49 168.02

0.21 20.38 59.75 59.19 58.92 58.79

Sumatoria 2816.22 2385.16 2330.39 2305.05 2293.12

fo 1.05

Q 12.50

0.93 0.88 0.86 0.85

0.88 0.86 0.85 0.85FS(calculado)

FS(arbitrario)

1 Pa 1 N 1 Kg/m3

1 N/m2 7.23 lb*pie/s2

9.8 KN/m3

1 Kg/cm2 1 Tn/m3

9800 KN/m3

98066.5 Pa

1 bar

0.40789 Kg/cm2 100 Kpa