If s is the shear strength, c and ϕ are shear strength parameters, and σn is the stress at failure, then coulomb's equation for shear strength of the soil can be represented by
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The shear strength is then equal to the sum of the normal stress (σ) and cohesion (c). The Coulomb–Terzaghi equation is:s = c + σ.tan ϕwhere tan ϕ is the coefficient of plane sliding friction, which describes the packing, surface roughness, and hardness of the materials constituting the slope.
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