Mechanical Engineering
Young's Modulus Calculator
📐 E = σ / ε
Calculate Young's modulus, stress, and strain in materials.
Input Values
Stress (σ)
MPa
Stress in megapascals (MPa)
Strain (ε)
—
Strain (dimensionless, ΔL / L₀)
Young's Modulus (E)
MPa
Young's modulus in megapascals (MPa)
Material Reference
Steel: ~200,000 MPa
Aluminum: ~70,000 MPa
Copper: ~120,000 MPa
Cast Iron: ~100,000 MPa
Titanium: ~110,000 MPa
E
=
σ
/
ε
Modulus
0MPa
Young's Modulus
0 MPa
E = σ / ε
Stress (σ)
0 MPa
Strain (ε)
0
Young's Modulus (E)
0 MPa
Material Type
—
📊 Detailed Breakdown
| Quantity | Value | Formula |
|---|
How the formula works
E = σ / ε | σ = E × ε | ε = σ / E
- Young's Modulus (E) = Stress / Strain (within elastic limit)
- Stress (σ) = Force / Cross-Sectional Area
- Strain (ε) = Change in Length / Original Length (dimensionless)
- Enter any two values to calculate the third
- Units: Stress (MPa), Strain (dimensionless), Modulus (MPa)
- 1 MPa = 1 N/mm²
- Higher modulus = stiffer material
- Material reference values are approximate at room temperature