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Question

An aluminium block of dimensions 0.3m×0.2m×0.05m is subjected to a shearing force of 1.5×104N. If the shear modulus of aluminium is 2.5×1010N/m2, what is the shear strain?

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Explanation

Shear modulus: G = Shear stressShear strain. Shear stress: Shear stress = FA, A = 0.3×0.2 = 0.06m2. Shear stress: 1.5×1040.06 = 2.5×105N/m2. Shear strain: Shear strain = Shear stressG = 2.5×1052.5×1010 = 1×10−5.

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