Question

The shear modulus $\left(G\right)$, modulus of elasticity $\left(E\right)$ and the Poisson's ratio $\left(v\right)$ of a material are related as,

• A. $G=E/\left[2\right(1+v\left)\right]$
• B. $E=G/\left[2\right(1+v\left)\right]$
• C. $G=E/\left[2\right(1-v\left)\right]$
• D. $G=E/\left[2\right(1-v\left)\right]$

Answer 1

The correct option is A $G=E/\left[2\right(1+v\left)\right]$

The relation between elastic constants is
$1.E=2G(1+\mu )$
$2.E=3K(1-2\mu )$
$3.E=\frac{9KG}{3K+G}$
$4.E=\frac{3K-2G}{6K+2G}$