Enter the total stress and the strain acting on an object. The calculator will evaluate and display the Young’s modulus of the material.

Young’s Modulus Formula

The following equation can be used to calculate the young’s modulus of a material.

Y = S1 / S2
  • Where Y is the Youngs modulus of elasticity
  • S1 is the stress
  • S2 is the strain

Young’s Modulus Definition

Young’s modulus, also known as the elastic modulus, is a fundamental material property that quantifies the stiffness or rigidity of a solid material. It measures how much a material will deform under an applied force and how well it can return to its original shape once the force is removed.

Young’s modulus is defined as the ratio of stress (force per unit area) to strain (change in length per unit length) within the elastic limit of a material.

It represents the slope of the stress-strain curve in the linear elastic region.

In simpler terms, it describes how much a material stretches or compresses when subjected to a given force.

This material property is crucial in engineering and materials science as it allows engineers to predict and understand how materials will behave under different loads and forces.

By knowing the Young’s modulus of a material, engineers can determine if it will deform or break under specific conditions.

The ability to accurately estimate Young’s modulus is particularly important when designing structures, such as buildings, bridges, and aircraft.

It helps engineers select appropriate materials that can withstand the expected loads without excessively deforming or failing. For example, if a material has a high Young’s modulus, it will be stiffer and less prone to deformation under load, making it suitable for applications where rigidity is a critical factor.

Young’s Modulus Example

How to calculate young’s modulus?

  1. First, determine the stress.

    Measure the total stress acting on the cross-sectional area.

  2. Next, determine the strain.

    Measure the total strain under the stress condition from step 1.

  3. Finally, calculate the young’s modulus.

    Using the formula above, calculate the young’s modulus.


What is young’s modulus?

Young’s modulus is the ratio of stress to strain in an object, which is also known as material elasticity.

young's modulus calculator
youngs modulus formula