# Shear strain

Shear strain

Shear strain is a strain that acts parallel to the face of a material that it is acting on. Normal strain acts perpendicular to the face of that it is acting on. There are two ways to interpret shear strain: the average shear strain and the engineering shear strain. The variable used to denote average shear strain is $epsilon ,$ while $gamma ,$ denotes engineering shear strain.

Consider an infinitesimal rectangle in the xy plane subject to shear strain. The rectangle becomes a parallelogram where $alpha ,$ is the displacement from the y axis in the x direction and $delta ,$ is the displacement from the x axis in the y direction. The average shear strain is

:$epsilon_\left\{xy\right\} = 0.5 \left(alpha + delta \right) = epsilon_\left\{yx\right\} ,$

Definition of engineering shear strain

:$gamma = epsilon_\left\{xy\right\} + epsilon_\left\{yx\right\} = 2 epsilon_\left\{xy\right\} ,$:

where:$heta ,$ is the angle before deformation and : is the angle at that same point after deformation.

Therefore $gamma ,$ describes the total deformation.

* Shear modulus
* Moiré pattern (the Moiré effect can be used to measure strain)
* Shear stress
* Shear strength

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