Shear Strain Calculator

What Is Shear Strain?

Shear strain measures angular distortion in a material under shear loading. It is the ratio of lateral displacement to the original dimension over which it occurs. Small strains are dimensionless; engineers often report them as percentages or microstrain (με).

Shear Strain Formulas

From lateral displacement:

$$\gamma = \frac{\delta}{L}$$

From twist of a cylindrical specimen:

$$\gamma = \frac{r \cdot \theta}{L}$$

$\delta$ is displacement, $L$ is original length, $r$ is radius, and $\theta$ is twist angle in radians. Example: 0.5 mm displacement over 100 mm gives $\gamma = 0.005$ or 0.5%.

Practical Applications

Shear strain appears in structural joints, adhesive bonds, torsion tests, and geotechnical shear tests. Combined with shear stress it gives shear modulus via Hooke's law for shear.

Related tools: Shear Modulus Calculator and Shear Stress Calculator.

Frequently Asked Questions

Is shear strain the same as normal strain?

No. Normal strain measures length change along an axis. Shear strain measures angular distortion without volume change in pure shear.

What is microstrain?

One microstrain (με) equals $10^{-6}$ strain. Multiply dimensionless strain by $10^6$ to get με.

When should I use the twist formula?

Use $\gamma = r\theta/L$ for torsion specimens where you know radius, twist angle, and gauge length.

Do I need radians or degrees?

The twist formula requires radians. This tool converts degrees automatically when you select that unit.

Can shear strain exceed 1?

In the elastic range, strains are usually very small (well below 1). Large strains occur in rubber and plastic deformation.

Report

What Is Shear Strain?

Shear Strain Formulas

Practical Applications

Frequently Asked Questions

Related Tools

Recent Visits