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Young’s Modulus Calculator

Calculate Young’s modulus (elastic modulus) from stress and strain, in GPa, MPa or ksi, and Mpsi.

Young’s modulus E
200 GPa
E = σ ÷ ε — the slope of the linear-elastic region. Steel ≈ 200 GPa, aluminum ≈ 69 GPa.
E (MPa)
200,000 MPa
E (Mpsi)
29.008 Mpsi

How it works

  1. 1Enter the applied stress and the resulting strain.
  2. 2The calculator applies E = σ ÷ ε, the slope of the linear-elastic region.
  3. 3Read the elastic modulus in GPa, in your chosen pressure unit, and in Mpsi.

Use cases

  • Identifying a material from a measured stress–strain slope.
  • Comparing the stiffness of steel, aluminum, and other materials.
  • Predicting elastic deflection when paired with a beam or column model.

Frequently asked questions

What is Young’s modulus?

Young’s modulus (E) measures a material’s stiffness — the ratio of stress to strain in the linear-elastic region: E = σ ÷ ε. A higher value means a stiffer material.

What are typical values?

Structural steel is about 200 GPa, aluminum about 69 GPa, concrete about 30 GPa, and wood around 11 GPa.

Is Young’s modulus the same as strength?

No. Modulus is stiffness — resistance to elastic deformation. Strength is the stress a material can carry before yielding or fracturing. A material can be stiff but brittle, or flexible but strong.

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