This stress and strain calculator finds stress (σ = F/A), strain (ε = ΔL/L) and Young’s modulus (E = σ/ε). Enter force and area for stress, and elongation and original length for strain.
Stress, Strain & Young’s Modulus Calculator
Formula
σ = F/A • ε = ΔL/L • E = σ/ε
How to Use This Calculator
- Enter force (N) and area (mm²) to get stress in MPa.
- Enter elongation and original length to get strain.
- Enter all four to also get Young’s modulus.
Worked Example
F = 10000 N over A = 200 mm² gives σ = 50 MPa. With ΔL = 0.5 mm on L = 1000 mm, ε = 0.0005 and E = 50/0.0005 = 100000 MPa = 100 GPa.
Frequently Asked Questions
What is the formula for stress and strain?
Stress = force / area (sigma = F/A); strain = change in length / original length (epsilon = dL/L).
What is Young’s modulus?
Young’s modulus E is the ratio of stress to strain in the elastic region: E = sigma / epsilon.
What is the unit of stress?
Stress has units of pressure: N/mm2 (MPa) or pascals (Pa).