Shear strain in a copper block under force

Practice question

Question

A copper block of dimensions 0.4m×0.2m×0.05m is subjected to a shearing force of 1.5×104N. If the shear modulus of copper is 4.2×1010N/m2, what is the shear strain?

Options

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4×10−6 5×10−6 3×10−6 4.46×10−6 Correct

Explanation

Shear modulus: G = Shear stressShear strain. Shear stress: Shear stress = FA, A = 0.4×0.2 = 0.08m2. Shear stress: 1.5×1040.08 = 1.875×105N/m2. Shear strain: Shear strain = Shear stressG = 1.875×1054.2×1010≈4.46×10−6.

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