Physics

Thermal Stress Calculator

Find the stress from a constrained temperature change.

Parameters Live Compute
Calculated Output
Thermal stress (MPa) 120
Formula: σ = E·α·ΔT
Step-by-Step Breakdown
1. Values used:
2. Young's modulus = 200 GPa
3. Expansion coefficient = 0 1/K
4. Temperature change = 50 K
5.
6. Thermal stress = 120MPa
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A material that can't expand freely develops thermal stress when heated or cooled.

The math behind it

σ = E·α·ΔT. Steel rails and bridges add gaps to relieve this stress.

Worked Example

Steel (E 200 GPa, α 12×10⁻⁶), ΔT 50 K → 120 MPa.

Frequently Asked Questions

Why do bridges have expansion joints?

To let parts expand without building up damaging thermal stress.

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