GATE Civil 2022 Set 2 | Question: 3

Question

For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity $(E)$, Poisson’s ratio $(\nu),$ and shear modulus $(G)$ is

• A. $G= \frac{E}{2(1+\nu)}$ 
• B. $G= \frac{E}{(1+2\nu)}$ 
• C. $E= \frac{G}{2(1+\nu)}$ 
• D. $E= \frac{G}{(1+2\nu)}$