GATE CE 2023 Set 1 — Question 56
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Geotechnical Engineering → Stability of Slopes → Infinite Slopes
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Question
A soil having the average properties, bulk unit weight = ; angle of internal friction = and cohesion = , is being formed on a rock slope existing at an inclination of with the horizontal. The critical height (in m) of the soil formation up to which it would be stable without any failure is _______ (round off to one decimal place).[Assume the soil is being formed parallel to the rock bedding plane and there is no ground water effect.]
Correct answer
4.8 to 5.2
Solution
1.Given Data:
- Bulk unit weight,
- Cohesion,
- Angle of internal friction,
- Slope inclination,
The factor of safety against sliding for an infinite slope is given by:
3.Critical Height ():
At critical height, the factor of safety is equal to 1.4.Solve for :
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