GATE CE 2020 Set 2 — Question 45
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Geotechnical Engineering → Stability of Slopes → Factor of Safety
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Question
A high slope of dry clay soil (unit weight = ), with a slope angle of and the circular slip surface, is shown in the figure (not drawn to the scale). The weight of the slip wedge is denoted by . The undrained unit cohesion () is .
The factor of safety of the slope against slip failure, is
- A.1.84
- B.1.57
- C.0.58
- D.1.67
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Correct answer
(MTA)
Solution
The Factor of Safety () for a circular slip surface is defined as the ratio of the resisting moment to the driving moment:Where:
- is the undrained cohesion.
- is the arc length of the slip surface.
- is the radius of the circular arc.
- is the weight of the soil wedge.
- is the lever arm of the weight from the center of the circle.
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