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Soil Mechanics and Foundation Engineering - Engineering

Q1:

An infinite slope is inclined at angle i and has its angle of internal friction φ, the stability number Sa, is

A

B

C (tan i - tan φ) cos2 i

D (tan i - tan φ) sin2 i

ANS:C - (tan i - tan φ) cos2 i

For cohesive soil FOS = shear strength / shear stress.
put FOS = 1 and calculate C/(yHc) value. Sa=C/yHc.
Hc=C/y(tanθ-tanθ)cos2θ.