Practice question

MCQ

Question

A brass block of dimensions 0.6m×0.4m×0.2m is subjected to a shearing force of 9×104N. If the shear modulus of brass is 3.6×1010N/m2, what is the shear strain?

Options

Choose one · Correct answer highlighted

1.04×10−5 Correct 1.5×10−5 2×10−5 1×10−5

Explanation

Shear modulus: G = Shear stressShear strain. Shear stress: Shear stress = FA, A = 0.6×0.4 = 0.24m2. Shear stress: 9×1040.24 = 3.75×105N/m2. Shear strain: Shear strain = Shear stressG = 3.75×1053.6×1010≈1.04×10−5.

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