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Which of the following is the Coulomb shear strength equation?
1. S = c + Ω cos φ
2. S = Ω + c tan φ
3. S = c + Ω tan φ
4. S = Ω + c cos φ

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Correct Answer - Option 3 : S = c + Ω tan φ

Explanation:

Coulomb’s Equation and Mohr-Columb’s Criterion:

(i) Columb observed that one component of the shearing strength called intrinsic cohesion (or apparent cohesion) is constant for a given soil and is independent of applied stress.

(ii) The other component, namely the frictional resistance, varies directly as the magnitude of the normal stress on the plane of rupture.

Coulomb equation is written as,

S = c + Ω tanϕ

Where, c = Apparent cohesion

Ω = Normal stress

ϕ = Angle of internal friction.

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