Young's Modulus Calculator
A free, browser-based calculator. Runs entirely in your browser — no sign up, nothing stored.
Enter Values
How to use this calculator
- Enter the stress σ (MPa) and the strain ε.
- If you don't have strain directly, leave it blank and enter the original length and the extension instead.
- Read Young's modulus in GPa.
How it works
Young's modulus E is the stiffness of a material — the slope of the straight (elastic) part of its stress–strain curve: E = σ / ε.
Enter stress and strain directly, or let the tool work strain out from the original length and the measured extension (ε = ΔL / L₀). The result is shown in GPa and MPa.
Worked example
250 MPa at 0.00125 strain. E = 250 / 0.00125 = 200,000 MPa = 200 GPa — the textbook value for structural steel.
Tips
- Use this only on the elastic, straight-line portion of the curve — before yield.
Frequently asked questions
What are typical values?
Structural steel ≈ 200 GPa, aluminium ≈ 69 GPa, concrete ≈ 30 GPa, timber ≈ 11 GPa. Higher E means a stiffer material that deflects less under the same load.
Is a stiffer material stronger?
Not necessarily. Stiffness (E) controls deflection; strength (yield/ultimate stress) controls when it fails. A material can be stiff but brittle, or flexible but tough.
Can I use these results for final design?
No. These calculators are for first-pass sizing, checking and learning. They assume ideal supports, static loads and elastic behaviour, and they don't apply load factors, member capacity, buckling or connection checks. Always verify against the relevant design code (e.g. AS 4100, AS 1170, Eurocode) and have a qualified engineer sign off structural work.
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Tip: Enter any known values to calculate the remaining results.
All calculations run in your browser. Your inputs are never saved or transmitted.