Young’s Modulus Calculator

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.

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.

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:

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. This option is available in the Young’s Modulus Calculator above. From this linear regression line, the slope can be determined, which also represents Young’s Modulus (E) value.

• Hooke’s Law Calculator
• Poisson’s Ratio Calculator
• Stress-Strain Calculator
• Crack Width Calculator