Engineering shear [[Strain|strain]] describes angular deformation. Shear strain will cause a square piece of material to deform into a rhombus. Shear strain, $\gamma$, is related to the angle between the initial and deformed state, $\theta$.
$\gamma=\tan\theta\approx\theta$
![[shear_strain.png]]Similar to [[Normal Stress|normal stress]], [[Shear Stress|shear stress]] is directly proportional to shearing strain. The modulus of rigidity, $G$, is a material property relating shearing stress and strain to one another by the following:
$\tau_{ij}=G\gamma_{ij}$
Tensorial shear strain from [[Hooke's Law]] is related to engineering shear strain by
$\gamma_{ij}=2\varepsilon_{ij}$