Young’s Modulus Calculator
Calculate Young’s modulus from signed axial stress and strain with percent or microstrain input, SI and US stress units, and explicit elastic assumptions.
Calculate the axial stress-to-strain ratio from one measured loading state. In a uniaxial linear-elastic region with a consistent zero reference, this ratio is Young’s modulus. Select the strain representation explicitly so that a percentage or microstrain reading is not mistaken for a dimensionless decimal.
How to use this tool
- Enter the signed engineering stress and its unit.
- Enter the corresponding signed axial strain.
- Choose ratio, percent or microstrain to match the strain value.
- Select a modulus unit and interpret the result within the applicable material regime.
Formula
E = σ / ε
Stress σ and strain ε must use a consistent tension-positive, compression-negative convention. Strain is dimensionless after conversion. Because strain has no unit, E has the same dimensions as stress; the output can be Pa, MPa, GPa, psi or ksi.
Example
A specimen has stress 100 MPa and axial strain 500 µε, which is 0.0005. Dividing gives 100 / 0.0005 = 200,000 MPa, or 200 GPa. This numerical result is a modulus only if the measurements belong to a suitable linear-elastic region.
Frequently asked questions
Does a larger modulus mean greater strength?
Modulus describes stiffness: the stress needed for a given elastic strain. Strength describes a failure or yield threshold. Materials can have different rankings for those properties.
Why are zero strain and opposite signs rejected?
Zero strain leaves the ratio undefined. Opposite signs would give a negative ratio, outside this conventional positive-modulus model. Check reference offsets and sign conventions before interpreting measurements.
Can I use a point beyond the linear region?
The ratio then represents a secant from the origin, not necessarily Young’s modulus. A tangent modulus uses a local slope, while a fitted elastic modulus normally uses multiple measurements.
Does this choose a material or approve a component?
No. It does not identify an alloy, temperature dependence, anisotropy, yield stress or buckling resistance. The supplied stress and strain must come from a compatible loading direction and test condition.
Sources
Last updated: 2026-10-30