Shear Modulus

#460 / Mechanics of Materials Easy

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.

Expand 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


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