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Young's Modulus (Elastic Modulus) Calculator

Find a material's stiffness E = σ / ε from stress & strain, from raw tensile-test measurements, from multi-point stress-strain data, or estimate.
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Young's Modulus (Elastic Modulus) Calculator

Find a material's stiffness E = σ / ε from stress & strain, from raw tensile-test measurements, from multi-point stress-strain data, or estimate it from Shore hardness for rubbers and elastomers.

Direct stress & strain input
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Result

Enter values to calculate E
Show formula & calculation steps
\[ E = \frac{\sigma}{\varepsilon} = \frac{F/A}{\Delta L / L_0} \]
Stress-strain curve schematic showing the linear elastic region and slope E Strain, ε Stress, σ proportional limit slope = E non-linear / plastic region (not fitted)
Only points on the straight-line portion near the origin represent true Young's modulus — points beyond the proportional limit will understate stiffness.
Reference: typical Young's modulus by material
MaterialE (GPa)E (Mpsi)

Values are typical/representative ranges for general reference and comparison only — always confirm with mill certs, material spec sheets, or lab testing for design use.

Frequently asked questions
What is a good Young's modulus value?

There's no single "good" value — it depends entirely on the application. Stiff structural metals like steel (~200 GPa) suit load-bearing frames; low-modulus elastomers (well under 1 GPa) suit seals and vibration isolation. Compare your result against the reference table above for context, not a pass/fail judgment.

Is Shore hardness the same as Young's modulus?

No. Shore hardness measures indentation resistance on a durometer scale, while Young's modulus measures tensile/compressive stiffness from a stress-strain slope. The two correlate for elastomers, which is why an empirical conversion exists, but they are physically different properties and the conversion is only approximate.

Why does my calculated E look too low?

The most common cause is including data points beyond the proportional limit, where the material has begun to yield. Only use points from the initial straight-line portion of the stress-strain curve — see the diagram above.

Can I use this for concrete or timber?

Concrete and timber are typically non-linear from very low stress, so "Young's modulus" is usually reported as a secant or tangent modulus at a specified stress level rather than a single constant slope. This tool computes a slope between your entered points, so choose points near the stress level relevant to your design check.

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