What is the Young's Modulus Calculator?
Calculate Young's modulus (elastic modulus) E with this free Young's modulus calculator. Find E = σ/ε from stress and strain, or from a tensile test: E = FL₀/(A·ΔL). Convert between GPa, MPa, Msi, ksi, and psi. Compare results to reference values for steel, aluminum, titanium, and more. Metric and imperial units. Runs instantly in your browser.
How to use the Young's Modulus Calculator
- Choose From σ and ε, From Tensile Test, or Unit Converter mode.
- Select metric or imperial units (except converter).
- Enter stress and strain, or force, area, original length, and elongation.
- Review E in GPa, Msi, MPa, ksi, and closest material match.
- Copy calculation steps for lab reports or homework.
Common use cases
- Computing E from stress-strain data in a materials lab
- Estimating elastic modulus from force and elongation on a test coupon
- Converting between GPa and Msi for international specs
- Identifying whether an unknown sample is near steel or aluminum stiffness
- Homework on Hooke's law and tensile test analysis
Frequently asked questions
- What is Young's modulus?
- Young's modulus E measures a material's stiffness in the elastic range. It is the ratio of normal stress to strain: E = σ/ε, with units of pressure (GPa, MPa, or psi).
- How do I find E from a tensile test?
- In the linear elastic region, compute σ = F/A and ε = ΔL/L₀, then E = σ/ε. Equivalently E = FL₀/(A·ΔL) using measured force, area, gauge length, and elongation.
- What is the Young's modulus of steel?
- Structural steel is approximately 200 GPa (29 Msi). Aluminum is about 69 GPa (10 Msi). This tool compares your result to common reference values.
- How do I convert GPa to Msi?
- Use the unit converter mode. 1 GPa ≈ 0.145 Msi; steel at 200 GPa ≈ 29 Msi. The tool converts between GPa, MPa, Msi, ksi, and psi.
- When does Hooke's law apply?
- E = σ/ε is valid only in the linear elastic region before yielding. Plastic deformation and nonlinear elasticity require different models.
