Practice question

MCQ

Question

A brass block of dimensions 0.5m×0.2m×0.1m is subjected to a shearing force of 5×104N. If the shear modulus of brass is 3.6×1010N/m2, what is the shear strain?

Options

Choose one · Correct answer highlighted

1.39×10−5 Correct 1.5×10−5 2×10−5 1×10−5

Explanation

Shear modulus: G = Shear stressShear strain. Shear stress: Shear stress = FA, A = 0.5×0.2 = 0.1m2. Shear stress: 5×1040.1 = 5×105N/m2. Shear strain: Shear strain = Shear stressG = 5×1053.6×1010≈1.39×10−5.

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