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For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity (E), Poisson’s ratio (ν), and shear modulus (G) is
- G = E / 2(1+ν)
- G = E / (1+2ν)
- E = G / 2(1+ν)
- E = G / (1+2ν)
Correct answer: G = E / 2(1+ν)
Solution
The relationship G = E / 2(1+ν) is derived from the definitions of Young's modulus, shear modulus, and Poisson's ratio for isotropic materials, showing how these properties interrelate under linear elastic behavior.
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