What this calculator does
Young's Modulus works out a material's stiffness from an applied force, cross-section area, and resulting elongation. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.
The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.
The formula
FormulaE = stress / strain = (F/A) / (ΔL/L₀)
The inputs explained
| Field | What to enter |
|---|---|
| Applied force (N) | A number, measured in N. Starts at 1000. |
| Cross-section area (mm²) | A number, measured in mm². Starts at 2. |
| Original length (m) | A number, measured in m. Starts at 1. |
| Elongation (mm) | A number, measured in mm. Starts at 2.5. |
Worked examples
Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.
How the answer changes with applied force
Every other input is held at the calculator’s starting values while applied force varies. Select any row to load that scenario into the calculator.
How the answer changes with applied force