Topic: Strength of Materials
If poisson's ratio for a material is 0.5, then the elastic modulus for the material is-
- A. 3 times its shear modulus
- B. 4 times its shear modulus
- C. Equal to its shear modulus
- D. Indeterminate
Answer: A. 3 times its shear modulus
Explanation: Given- Poisson's ratio ($\mu$) = 0.5. The relationship between Elastic modulus (E) and Shear modulus (G) is $E = 2G(1+\mu)$. Substituting the value, $E = 2G(1+0.5) = 2G(1.5) = 3G$. Hence, the elastic modulus is 3 times its shear modulus.