# Young's Modulus Calculator

The free SkyCiv Young's Modulus allows you to estimate Young's Modulus (also commonly known as Elastic Modulus or Tensile Modulus) based on Stress/Strain data. Young's Modulus is a vital property for engineers that is used to determine the stiffness or rigidity of a material. The calculator contains two modes for calculating Young's Modulus. The first mode calculates stress and strain values from the force, area, and initial and final length properties. The second mode estimates Young's Modulus using Liner Regression from a Stress-Strain Curve. To get started enter your properties below and click run.

About this Young’s Modulus Calculator

## What is Young’s Modulus?

Young’s Modulus, commonly referred to as Elastic Modulus or Tensile Modulus, is a critical material property used to characterise the stiffness or rigidity of a material. It represents the ratio between stress and strain within a material which experiences either tensile or compressive forces.

## Why is Young’s Modulus Important?

The Young’s Modulus value is a vital material property which measures a material's stiffness and ability to resist deformation under tensile or compressive forces. This measurement can be used to help predict how materials behave upon applied loads and make optimised selections on material for desired applications.

## How is Young’s Modulus Calculated?

Two distinct methods which can be used to calculate Young’s Modulus include:

- Stress / Strain Data
- Stress-Strain Curve

The Stress / Strain Data is determined by factors which include Force (F) and Area (A) for Stress (σ) and Final Length (Lf) and Initial Length (Li) for Strain (ϵ). The formula to calculate stress and strain using the data is as follows:

Once Stress / Strain Data have been used to calculate Stress (σ) and Strain (ϵ) values, they can be used to calculate the Young’s Modulus (E) in the following formula:

## How to find Young’s Modulus from a Stress-Strain Curve?

Using a minimum of three stress-strain coordinates, these points can be plotted on the Stress-Strain Chart, and a linear regression line can be formed. From this linear regression line, the slope can be determined, which also represents Young’s Modulus (E) value.