Shear strain in copper block under force

Practice question

Question

A copper block of dimensions 0.6m×0.4m×0.2m is subjected to a shearing force of 7×104N. If the shear modulus of copper is 4.2×1010N/m2, what is the shear strain?

Options

Choose one · Correct answer highlighted

6.95×10−6 Correct 7×10−6 6×10−6 5×10−6

Explanation

Shear modulus: G = Shear stressShear strain. Shear stress: Shear stress = FA, A = 0.6×0.4 = 0.24m2. Shear stress: 7×1040.24≈2.92×105N/m2. Shear strain: Shear strain = Shear stressG = 2.92×1054.2×1010≈6.95×10−6.

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