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GATE CE 2021 Set 1 — Question 57

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NAT+2 / -0HardFactor of SafetyStability of SlopesGeotechnical EngineeringSwedish Circle Method

Geotechnical Engineering → Stability of Slopes → Factor of Safety

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Question

An unsupported slope of height 15 m15\text{ m} is shown in the figure (not to scale), in which the slope face makes an angle 50∘50^\circ with the horizontal. The slope material comprises purely cohesive soil having undrained cohesion 75 kPa75\text{ kPa}. A trial slip circle KLMKLM, with a radius 25 m25\text{ m}, passes through the crest and toe of the slope and it subtends an angle 60∘60^\circ at its center OO. The weight of the active soil mass (WW, bounded by KLMNKLMN) is 2500 kN/m2500\text{ kN/m}, which is acting at a horizontal distance of 10 m10\text{ m} from the toe of the slope. Consider the water table to be present at a very large depth from the ground surface.
Slope stability diagram
Considering the trial slip circle KLMKLM, the factor of safety against the failure of slope under undrained condition (round off to two decimal places) is ___________
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