Stress-Strain Calculator

Calculate engineering stress, strain, true stress, true strain, and elastic energy density for materials.

Input Values

10,000 N
100 N1,000,000 N
N

10.00 kN

0.001 m²
00.1

10.0000 cm² = 1000.00 mm²

Engineering Values

Stress (σ)

10.0000 MPa

Strain (ε)

0.100000%

σTrue Stress
10.0100 MPa
εTrue Strain
0.00099950
σStress (Pa)
1.0000e+7
εStrain (dimensionless)
0.00100000

Formulas:

Engineering: σ = F/A, ε = ΔL/L₀

True: σ_t = σ(1+ε), ε_t = ln(1+ε)

Energy: u = ½σε

Understanding Stress and Strain

Stress is the internal resistance of a material to an applied force, measured as force per unit area. Strain is the deformation of a material relative to its original dimensions. These quantities are fundamental to understanding how materials behave under load. Engineering stress and strain use original dimensions, while true stress and strain account for dimensional changes during deformation.

Types of Stress

Tensile Stress

Pulling force that tends to elongate the material

Compressive Stress

Pushing force that tends to shorten the material

Shear Stress

Force parallel to the surface causing angular deformation