A steel block of dimensions 0.5m×0.3m×0.1m is subjected to a shearing force of 5×104N. If the shear modulus of steel is

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Question

A steel block of dimensions 0.5m×0.3m×0.1m is subjected to a shearing force of 5×104N. If the shear modulus of steel is 8.4×1010N/m2, what is the shear strain?

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3.5×10−6 3.96×10−6 Correct 4×10−6 3×10−6

Explanation

Shear modulus: G = Shear stressShear strain. Shear stress: Shear stress = FA, A = 0.5×0.3 = 0.15m2. Shear stress: 5×1040.15≈3.33×105N/m2. Shear strain: Shear strain = Shear stressG = 3.33×1058.4×1010≈3.96×10−6.

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