The ratio of Young’s Modulus of Elasticity to Modulus of Rigidity for a material having Poissons’s ratio 0.2 is
- A12/5Correct
- B5/12
- C5/14
- D14/5
Solution
Concept
E and G related by Poisson’s ratio
Formula
E = 2G(1 + ν)
Step-by-step solution
1. E/G = 2(1 + ν) = 2 × 1.2 = 2.4. 2. 2.4 = 12/5.
Explanation
For an isotropic material E = 2G(1 + ν). With ν = 0.2, E/G = 2.4 = 12/5.
Shortcut
E/G = 2(1 + ν).
Common mistake
Taking G/E.
Correct answer: A) 12/5