## 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.

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

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

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.

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

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

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.

0 0