GATE CE 2017 Set 1 — Question 47
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Geotechnical Engineering → Stability of Slopes → Infinite Slopes
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Question
The infinite sand slope shown in the figure is on the verge of sliding failure. The ground water table coincides with the ground surface. Unit weight of water .
The value of the effective angle of internal friction (in degrees, up to one decimal place) of the sand is ________
Correct answer
34 to 34.5
Solution
For an infinite slope with seepage parallel to the slope and the ground water table at the surface, the factor of safety () is given by:
Given:
(on the verge of failure)
Substituting the values:
The value of the effective angle of internal friction is approximately .
Given:
(on the verge of failure)
Substituting the values:
The value of the effective angle of internal friction is approximately .
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