## Shear Modulus

Consider an unknown test material experiences a shear strain of 0.5 when placed under a shear stress of 20 GPa. What is its shear modulus? Assume the Young’s modulus is 200 GPa.

Hint
The shear modulus (modulus of rigidity) is a shearing force’s coefficient of elasticity. It is the ratio of shear stress to the displacement per unit length (shear strain).
Hint 2
$$G=\frac{\tau }{\gamma }$$$where $$\tau$$ is shear stress and $$\gamma$$ is shear strain. The shear modulus (modulus of rigidity) is a shearing force’s coefficient of elasticity. It is the ratio of shear stress to the displacement per unit length (shear strain). $$G=\frac{\tau }{\gamma }$$$
where $$\tau$$ is shear stress and $$\gamma$$ is shear strain.
$$G=\frac{20GPa}{0.5}=40\:GPa$$\$
40 GPa