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Young’s modulus from extension calculator
Estimate elastic stiffness from a tensile load and measured extension.
On this page
Young’s modulus200,000,000,000Pa
Axial strain5.00e-5
Calculator controls
How to calculate
Estimate elastic stiffness from a tensile load and measured extension.
Young’s modulus =
F*L/(A*1e-6*d*1e-3) PaAxial strain =
d*1e-3/LWorked example
- Tensile force (N): 1000
- Original length (m): 1
- Cross-sectional area (mm²): 100
- Extension (mm): 0.05
- Young’s modulus: 200,000,000,000 Pa
- Axial strain: 5.00e-5
Assumptions and limits
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Assumes uniform axial loading within the linear elastic range; area and length refer to the undeformed specimen.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Estimate elastic stiffness from a tensile load and measured extension. Extension is in millimetres while original length is in metres. The conversion is included in the formula.
When this tool is useful
Extension is in millimetres while original length is in metres. The conversion is included in the formula.
Understanding your inputs
| Input | Example |
|---|---|
Tensile force (N) F | 1000 |
Original length (m) L | 1 |
Cross-sectional area (mm²) A | 100 |
Extension (mm) d | 0.05 |
Frequently asked questions
Which assumptions matter for this result?
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Assumes uniform axial loading within the linear elastic range; area and length refer to the undeformed specimen.
How can I check the worked example?
Use the displayed example inputs in the stated formula. Keep each quantity in its labelled unit and compare the unrounded result before applying display rounding.