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An infinite slope is to be constructed in a soil. The effective stress strength parameters of the soil are c’ = 0 and Φ’ = 30°. The saturated unit weight of the slope is 20kN/m3 and the unit weight of water is 10kN m3. Assuming that seepage is occurring parallel to the slope, the maximum slope angle for a factor of safety of 1.5 would be
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- 10.89°
- 11.30°
- 12.48°
- 14.73°
Correct Option: A
Factor of safety,
| F = | . | |||
| γsat | tan i |
γ' = γsat - γw
= (20 – 10) = 10
| ⇒ 1.5 = | . | |||
| 20 | tan i |
| ∴ tan i = | = 0.192 | 1.5 × 2 |
∴ i = 10.89°.
