Young's Modulus Calculator

Calculate Young's modulus (elastic modulus) from stress/strain or force/deformation. Essential for material science and engineering.

Input Values

100,000,000 Pa
1,000,000 Pa1,000,000,000 Pa
Pa

100.00 MPa

0.001
00.1

0.1000%

Young's Modulus

100.0000 GPa

1.0000e+11 Pa

σStress
100.0000 MPa
εStrain
0.1000%

Formula Used:

E = σ / ε

Common Material Values:

Steel200 GPa
Aluminum70 GPa
Copper120 GPa
Glass70 GPa
Rubber0.01-0.1 GPa
Concrete30 GPa

What is Young's Modulus?

Young's modulus (E), also known as the elastic modulus or tensile modulus, is a measure of the stiffness of a material. It describes how much a material will deform under stress. A higher Young's modulus indicates a stiffer material that resists deformation. It is defined as the ratio of stress (force per unit area) to strain (relative deformation) in the linear elastic region of the stress-strain curve.

Young's Modulus Formula

Basic Formula

E = σ / ε

Where: E = Young's modulus, σ = stress, ε = strain

Expanded Formula

E = (F × L₀) / (A × ΔL)

Where: F = force, L₀ = original length, A = area, ΔL = change in length