Geotechnical Engineering

DHARM

348 GEOTECHNICAL ENGINEERING

Slice

z(m)

b(m)

W (k

N

)

α°

sin

α

W sin

α

c′

b

W(

1 –r

)cu

′b + W

sec

α

tan

α

sectan

αtan

φα

1

+

′ F

(2)

(1) × (2) = (3)

No.

tan

φ′

(^1

• r

)u

tan

φ′

(1)

F

= 1.5

F

= 1.4

F

= 1.5

F

= 1.4

1

1.0

2.2

42

–10

• 0.174

–7.31

19.8

13.7

33.5

1.015

–0.176

1.08

1.084

36.18

36.32

2

2.6

2.2

114

5

0.087

9.92

19.8

33.7

53.5

1.004

0.087

0.98

0.973

52.43

52.05

3

3.6

2.2

150

20

0.342

51.30

19.8

47.8

67.6

1.063

0.364

0.95

0.939

64.22

63.48

4

3.9

2.2

162

35

0.574

92.99

19.8

57.8

77.6

1.208

0.700

0.98

0.963

76.05

74.73

5

2.2

2.2

75

56

0.829

62.18

19.8

35.3

55.1

1.788

1.483

1.19

1.161

65.57

63.97

Σ =

Σ =

Σ =

209.08

294.45 290.55

Table 9.3

Stability of downstream slope of an earth dam—rigorous approach