Mechanics Soil Exercise

Using the slip circle shown in Fig. 5.36, determine the F values for ru = 0.4, 0.6 and 0.8. Plot ru against F. 7 = 23.3 kN/m3, c' = 17.1 kN/m2, <j>' = 37±°.

Answer By rigorous method F 1.5 1.0 0.5

Fig. 5.36 Example 5.7. EXERCISE 5.8

Using Bishop and Morgenstern's charts, determine the factors of safety for the following slopes:

(i) ru = 0.5, c' = 5.37kN/m2, <f>' = 40°, 7 = 14.4kN/m3, H = 15.2m, slope = 3:1.

Answer 1.6

(ii) ru = 0.3, c' = 7.2kN/m2, </>' = 39°, 7 = 12.8kN/m3, H = 76.4m, slope = 2:1.

Answer 1.19

(iii) ru = 0.5, d = 20kN/m2, 7 = 17.7kN/m3, <f>' = 25°, H = 25m, angle of slope = 20°.

Answer 1.2

Fig. 5.36 Example 5.7. EXERCISE 5.8

Using Bishop and Morgenstern's charts, determine the factors of safety for the following slopes:

(i) ru = 0.5, c' = 5.37kN/m2, <f>' = 40°, 7 = 14.4kN/m3, H = 15.2m, slope = 3:1.

Answer 1.6

(ii) ru = 0.3, c' = 7.2kN/m2, </>' = 39°, 7 = 12.8kN/m3, H = 76.4m, slope = 2:1.

Answer 1.19

(iii) ru = 0.5, d = 20kN/m2, 7 = 17.7kN/m3, <f>' = 25°, H = 25m, angle of slope = 20°.

Answer 1.2

Stability coefficients for earth slopes

Adapted from originals by A. W. Bishop and N. Morgenstern.

Stability coefficients for earth slopes

Adapted from originals by A. W. Bishop and N. Morgenstern.

Fadum Chart
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