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• JoseLuisCondori

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EJERCICIO DE ESTABILIDAD DE TALUDES

DATOS g1 c1 ɸ1 gw

Suelo 1 18 25 28 10

Suelo 2 18.5 70 22

g2 c2 ɸ2

KN/m3 KN/m2 ° KN/m3

KN/m3 KN/m2 °

METODO DE FELLENIUS 1.    W1=b*Z1*g 2.    u=10*Zw 3.    c*b/cosα 4.    Tanɸ*(W1*cosα) 5.    u*b/cosα 6.    W1*senα

METODO DE FELLENIUS

Dovela

1 2 3

1

2

3

4

5

6

7

b (m)

Z1 (m)

Zw (m)

W1 (KN/m)

α(°)

u (KN/m2)

cos α

1.3 1.5 1.5

0.9 2.3 3.3

0.0 0.8 1.9

21.06 62.10 89.10

49.93 40.71 31.45

0.00 8.00 19.00

0.644 0.758 0.853

4 5 6 7 8

1.5 1.4 1.4 1.4 1.4

4.1 3.8 2.8 1.8 0.6

2.6 2.6 1.9 1.3 0.4

110.70 95.76 70.56 45.36 15.12

23.04 16.68 11.54 7.00 2.50

26.00 26.00 19.00 13.00 4.00

0.920 0.958 0.980 0.993 0.999

FS=9+10/11

METODO DE BISHOP 1.    W1=b*Z1*g 2.    u=10*Zw 3.    c*b/cosα 4. (W1-u*b)*(tanɸ+c*b) 5.   mα=cosα*[1+(tanα*tanɸ)/FS] 6.    W1*senα

MET

Dovela 1 2 3 4 5 6 7 8

1

2

3

4

5

6

7

b (m)

Z1 (m)

Zw (m)

W1 (KN/m)

α(°)

u

cos α

1.3 1.5 1.5 1.5 1.4 1.4 1.4 1.4

0.9 2.3 3.3 4.1 3.8 2.8 1.8 0.6

0.0 0.8 1.9 2.6 2.6 1.9 1.3 0.4

21.06 62.10 89.10 110.70 95.76 70.56 45.36 15.12

49.93 40.71 31.45 23.04 16.68 11.54 7.00 2.50

0.00 8.00 19.00 26.00 26.00 19.00 13.00 4.00

0.644 0.758 0.853 0.920 0.958 0.980 0.993 0.999

US 8 sen α 0.765 0.652 0.522

9

10

c*b/cos α Tanɸ(W1*Cosα* (u*b/cosα 50.488 49.471 43.958

7.208 16.612 22.652

11 W1*senα 16.116 40.504 46.488

0.391 0.287 0.200 0.122 0.044

40.751 36.537 35.722 35.263 35.033 327.222

31.631 28.570 22.324 14.189 5.051 148.237

43.325 27.486 14.116 5.528 0.660 194.222

475.459 2.45 Estatico

FS

METODO DE BISHOP 8

9

10

11

12

13

sen α

W-u*b

(W-ub)tanɸ

c*b

(W-u*b)tanɸ+c*b

mα1 (FS=2.45)

0.765 0.652 0.522 0.391 0.287 0.200 0.122 0.044

21.06 50.1 60.6 71.7 59.36 43.96 27.16 9.52

11.198 26.639 32.222 38.124 31.562 23.374 14.441 5.062

32.500 37.500 37.500 37.500 35.000 35.000 35.000 35.000

43.698 64.139 69.722 75.624 66.562 58.374 49.441 40.062

0.810 0.900 0.966 1.005 1.020 1.023 1.019 1.009

FS

2.49

FS=14/15

14

15

(W-u*b)tanɸ+c*b/mα

W1*senα

53.952 71.290 72.144 75.230 65.240 57.048 48.519 39.723 483.146

16.116 40.504 46.488 43.325 27.486 14.116 5.528 0.660 194.222

Estatico