Young's Modulus Calculator
Calculate young's modulus step by step: E = σ ÷ ε.
In short
Calculate young's modulus step by step: E = σ ÷ ε.
Formula: E = σ ÷ ε.
Young's modulus
200 GPa
- Megapascals
- 200,000 MPa
- ksi
- 29,007.54 ksi
What this calculator does
Calculate young's modulus step by step: E = σ ÷ ε. Worked example, questions and limitations included.
You enter stress and strain, and the young's modulus calculator shows the answer along with the working, so you can check it or try other numbers.
The page shows the formula, a numeric worked example, and the assumptions that affect this mechanical calculation.
Inputs and what they mean
- Stress
- — number value.
- Strain
- — number value.
How to use it
- Enter each value in the unit shown next to the box (use the unit converter first if your numbers are in other units).
- Check the breakdown to see every intermediate step.
- Read the limitations before relying on the result.
Formula
Valid only in the linear elastic region.
Strain cannot be zero.
MPa ÷ 1,000 = GPa.
E = σ ÷ ε.
Inputs used: Stress, Strain.
Worked example
200 MPa at 0.001 strain
- E = 200 ÷ 0.001 = 200,000 MPa = 200 GPa.
Reading the result
The headline figure is the main answer. Any breakdown underneath shows the parts that make it up, so you can check the working and see what changes when you adjust an input.
Limitations and assumptions
- Linear elastic, isotropic material assumed.
- Temperature effects ignored.
- Single data point — a test uses the slope of many.
- Results are estimates for planning and learning. Real designs, installations and bids must be checked by a qualified, licensed professional against the codes that apply where you work.
- The result depends on the values you enter for this young's modulus calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.
Reference: OpenStax (Rice University)
Last reviewed:
Common questions
What does a high modulus mean?
The material is stiff — it stretches less for the same stress. Steel is far stiffer than aluminium or plastics.
Is modulus the same as strength?
No. Modulus is stiffness; strength is the stress at which a material yields or breaks.
Why must I stay in the elastic range?
Beyond yield, stress and strain are no longer proportional, so the ratio is not Young's modulus.
How do I use the Young's Modulus Calculator?
Enter the required values for Stress, Strain. The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.
What formula does the Young's Modulus Calculator use?
E = σ ÷ ε. The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.
Can the Young's Modulus Calculator be used for exact decisions?
Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.
Sources
Method based on OpenStax (Rice University).
Cite this page
Free Calculator. (2026, November 3). Young's Modulus Calculator. https://freecalculator.tech/tools/youngs-modulus-calculator
"Young's Modulus Calculator." Free Calculator, 3 Nov. 2026, https://freecalculator.tech/tools/youngs-modulus-calculator.
Young's Modulus Calculator — Free Calculator, https://freecalculator.tech/tools/youngs-modulus-calculator
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