Question

The modulus of elasticity $\left(E\right)$ and modulus of rigidity $\left(C\right)$ are related by(m is the poissons ratio)

• A. $C=\frac{E}{3(m-2)}$
• B. $C=\frac{E}{2(m+1)}$
• C. $C=\frac{3(m-2)}{mE}$
• D. $C=\frac{2(m+1)}{mE}$

Answer 1

Answer: (B)

$C=\frac{E}{2(m+1)}$

Using all three relation of young's modulus,bulk modulus,rigidity modulus and one more i.e Poisson's ratio
$C=\frac{E}{2(m+1)}$
where C = Modulus of rigidity or rigidity modulus
m = poisson's ratio
E = Modulus of elasticity