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Thermal Stress Calculator — Restrained Expansion Stress
Calculate fully restrained uniaxial thermal stress from Young’s modulus, thermal expansion coefficient and temperature change.
Last updated: September 17, 2026
Results
Formula, example and assumptions
εth=αΔT; σ=EαΔT for full restraint.
Steel with E=200 GPa, α=12×10⁻⁶/K and ΔT=50 K has thermal strain 600 µε and fully restrained stress 120 MPa.
- Linear elastic material behavior is assumed.
- The stress formula represents ideal full restraint; partial restraint lowers stress.
Frequently asked questions
What does the Thermal Stress Calculator calculate?
Calculate fully restrained uniaxial thermal stress from Young’s modulus, thermal expansion coefficient and temperature change.
Which units should I use?
The input labels show the required SI units. Keep properties and geometry consistent before using the result in another engineering calculation.
Can I use this result for design?
Use it for transparent engineering estimates and checks. Validate property data, geometry, correlations and applicable codes for safety-critical design.