Topic: Mechanics of Materials
For isotropic materials, the modulus of Elasticity in tension and shear (E and G) are related to the Poisson's ratio (v) as follows
- A. E = G / 2(1+v)
- B. G = E / 2(1+v)
- C. G = E / 2(1-v)
- D. E = G / 2(1-v)
Answer: B. G = E / 2(1+v)
Explanation: The relationship between Young's Modulus (E), Shear Modulus (G), and Poisson's ratio (v) for an isotropic material is E = 2G(1+v), which can be rearranged to G = E / 2(1+v).