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For an isotropic material, the shear modulus G is related to E and ν by:
A{'text': 'G = E·(1-2ν)', 'label': 'C'}
B{'text': 'G = E', 'label': 'A'}
C{'text': 'G = E/(2(1+ν))', 'label': 'B'}
D{'text': 'G = E·ν', 'label': 'D'}
Answer & Solution
Correct answer: C. {'text': 'G = E/(2(1+ν))', 'label': 'B'}
Classical relation: $G = \frac{E}{2(1+\nu)}$. Combined with $K = \frac{E}{3(1-2\nu)}$, the four constants (E, ν, G, K) are linked by two equations — only 2 independent.
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