How to calculate Young's modulus?

E = Stress / Strain in elastic region = (F/A) / (ΔL/L₀)

What is % elongation?

% Elongation = (Final Length - Original Length) / Original Length × 100

Stress-Strain Calculator

Calculate Young's modulus, yield strength, ultimate tensile strength, % elongation and reduction from tensile test data. Includes interactive stress-strain curve.

Young's Modulus

205 GPa

Steel specimen, 0.2% offset yield

Stress-Strain Properties

Featured: Young's Modulus, Yield, Ultimate, Ductility, Curve Plot

Original Gauge Length L₀ (mm)

Original Diameter d₀ (mm)

Yield Load (kN) - 0.2% offset

Ultimate Load (kN)

Length at Fracture L_f (mm)

Diameter at Fracture d_f (mm)

Young's Modulus E (GPa) - if known

Stress-Strain Curve

Engineering stress vs strain with key points marked

Key Formulas

Stress σ = F / A₀
Strain ε = ΔL / L₀
% Elongation = (L_f - L₀)/L₀ × 100
% Reduction = (A₀ - A_f)/A₀ × 100

Enter test data to see results

Material Property Guidelines

Typical Values

Steel: E ≈ 200 GPa, Yield 250–600 MPa

Aluminum: E ≈ 70 GPa, Yield 100–300 MPa

Copper: E ≈ 110 GPa, ductile

Ductility

Brittle: < 5% elongation

Ductile: > 15% elongation

Highly ductile: > 30%