GATE CE 2024 Set 1 — Question 54
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Geotechnical Engineering → Stability of Slopes → Infinite Slopes
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Question
An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is with respect to horizontal ground surface. The unit weights of the saturated soil and water are and , respectively. The minimum angle of shearing resistance of the soil (in degrees) for the critically stable condition of the slope is _____________ (rounded off to the nearest integer).
Correct answer
48 to 50
Solution
For an infinite slope in cohesionless soil with seepage parallel to the slope, the factor of safety () is given by:Where:
- (saturated unit weight of soil)
- (unit weight of water)
- (submerged unit weight)
- (slope angle)
- = angle of shearing resistance
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