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What will be the factor of safety with respect to cohesion of a clay slope laid at 1 in 2 to a height of 10 m, if the angle of internal friction φ=10° ; c=25 k N/m^2 and γ = 19 k N/m^3?

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in Geotechnical Engineering II by (93.8k points)
What will be the factor of safety with respect to cohesion of a clay slope laid at 1 in 2 to a height of 10 m, if the angle of internal friction φ=10° ; c=25 k N/m^2 and γ = 19 k N/m^3?

(a) 4.34

(b) 2.06

(c) 1.02

(d) 20.6

I got this question in an interview for internship.

Question is from Taylor’s Stability Number and Curves in section Stability of Slopes of Geotechnical Engineering II

1 Answer

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by (243k points)
Correct choice is (b) 2.06

Explanation: i = tan-1(1/2) = 26.5°

For i = 26.5° and φ = 10°, Sn = 0.064

But, Sn = c / Fc γ H

Therefore, Fc = c / Sn γ H

Fc = 25 / (0.064×19×10) = 2.06.

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