Engineering formula
Hooke's Law in Shear
$$τ = Gγ$$
Within the linear-elastic range, shear stress is proportional to shear strain:
$$\tau=G\gamma.$$
- $\tau$ — shear stress, Pa or MPa;
- $G$ — shear modulus, Pa or MPa;
- $\gamma$ — engineering shear strain, rad (dimensionless).
For a linearly elastic isotropic material, $G=E/[2(1+\nu)]$.