Civil Engineering MCQJE Level Civil Engineering

Young''s modulus (E) is related to shear modulus (G) and Poisson''s ratio (μ) by:

Strength of MaterialsStrength of MaterialsMEDIUM

Choose the correct answer

A

E = G(1 + 2μ)

B

E = 2G(1 + μ)

C

E = G/2(1 + μ)

D

E = 3G(1 − μ)

Correct Answer

B. E = 2G(1 + μ)

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Relationship: E = 2G(1 + μ). Also: E = 3K(1 − 2μ) where K = bulk modulus. For steel: E = 200 GPa, G = 80 GPa, μ ≈ 0.3. Check: 2G(1+μ) = 2×80×1.3 = 208 ≈ 200 GPa. These relate three elastic constants; only two are independent.

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