A brass block of dimensions 0.5m×0.2m×0.05m is subjected to a shearing force of 2×104N. If the shear modulus of brass is

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Question

A brass block of dimensions 0.5m×0.2m×0.05m is subjected to a shearing force of 2×104N. If the shear modulus of brass is 3.6×1010N/m2, what is the shear strain?

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5×10−6 6×10−6 4×10−6 5.56×10−6 Correct

Explanation

Shear modulus: G = Shear stressShear strain. Shear stress: Shear stress = FA, A = 0.5×0.2 = 0.1m2. Shear stress: 2×1040.1 = 2×105N/m2. Shear strain: Shear strain = Shear stressG = 2×1053.6×1010≈5.56×10−6.

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