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Practice question

MCQ

Question

A steel block of dimensions 0.2 m × 0.1 m × 0.05 m is subjected to a shearing force of 1 × 104 N. If the shear modulus of steel is 8.4 × 1010 N/m2, what is the shear strain?

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Explanation

Shear modulus: G = (Shear stress) / (Shear strain). Shear stress: Shear stress = F / A, A = 0.2 × 0.1 = 0.02 m2. Shear stress = (1 × 104) / 0.02 = 5 × 105 N/m2. Shear strain: Shear strain = Shear stress / G = (5 × 105) / (8.4 × 1010) ≈ 5.95 × 10-6.

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