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How to Calculate Youngs Modulus

What is Youngs Modulus?

Young's modulus (E) measures resistance to axial deformation: E = stress / strain; defines material stiffness.

Formula

Calculate E = σ/ε
E
σ/ε — σ/ε

Step-by-Step Guide

  1. 1Input axial stress and resulting strain
  2. 2Calculate E = σ/ε
  3. 3Results show material stiffness, usually in GPa

Worked Examples

Input
Steel: E ≈ 200 GPa
Result
Aluminum: E ≈ 70 GPa
Steel ~3× stiffer

Common Mistakes to Avoid

  • Confusing with strength (high E ≠ strong)
  • Not using consistent units

Frequently Asked Questions

Does Young's modulus depend on material processing?

Slightly; annealing can reduce E, cold-working can increase it, but primarily material-dependent.

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