Enter the force, initial length, area, and transverse displacement into the calculator to determine the shear modulus.

Shear Modulus Formula

The following equation is used to calculate a shear modulus of a material.

G = F * L / A * D
  • Where G is the shear modulus (pascals)
  • F is the force (N)
  • L is the initial length (m)
  • A is the area being acted on (m^2)
  • D is the transfer displacement (m)

To calculate the shear modulus, divide the product of the force and initial by the product of the area and transfer displacement.

Shear Modulus Definition

Shear modulus is defined as the ratio of shear stress to shear strain and is a measure of the rigidity of a material.

Shear Modulus Example

How to calculate a shear modulus?

  1. First, determine the shear force.

    Calculate the force causing the shear.

  2. Next, determine the initial length.

    Calculate the initial length of material.

  3. Next, determine the total area.

    Calculate the total area the force is acting on.

  4. Next, determine the transfer displacement.

    Calculate the transfer displacement.

  5. Finally, calculate the shear modulus.

    Calculate the shear modulus using the formula above.


What is a shear modulus?

A shear modulus, also know as rigidity modulus, is the ratio of shear stress to shear strain acting on an object.

How is shear modulus calculated?

Shear modulus is calculated using the formula above. It’s equal to shear stress divided by shear strain.

What’s the difference between shear modulus and Youngs modulus.

Shear modulus is a measure of the rigidity of an object. Young’s modulus is a measure of the elasticity of an object.