Thermal Stress Calculator
All calculations are based on the principles outlined in the ASME Boiler and Pressure Vessel Code, Section II. Learn more.
Calculator
Results
Thermal Stress
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Data Source and Methodology
The Formula Explained
\[ \text{Stress} = E \times \alpha \times \Delta T \]
Glossary of Terms
- Modulus of Elasticity (E): A measure of a material's stiffness.
- Coefficient of Thermal Expansion (α): The rate at which a material expands per degree of temperature change.
- Temperature Change (ΔT): The difference in temperature that the material experiences.
Example: Step-by-Step
Calculate the thermal stress for a steel rod with a modulus of elasticity of 200 GPa, a coefficient of thermal expansion of 12×10^-6 /°C, and a temperature change of 50°C.
Solution: \[ \text{Stress} = 200 \times 10^9 \times 12 \times 10^{-6} \times 50 = 120 \text{ MPa} \]
Frequently Asked Questions (FAQ)
What is thermal stress?
Thermal stress is the stress induced in a body due to changes in temperature.
How is thermal stress calculated?
Thermal stress can be calculated using the formula: Stress = Modulus of Elasticity × Coefficient of Thermal Expansion × Temperature Change.
Why is thermal stress important?
Thermal stress is critical in design to prevent material failure due to temperature changes.
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
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Formula (extracted LaTeX)
\[\text{Stress} = E \times \alpha \times \Delta T\]
\text{Stress} = E \times \alpha \times \Delta T
Formula (extracted LaTeX)
\[\text{Stress} = 200 \times 10^9 \times 12 \times 10^{-6} \times 50 = 120 \text{ MPa}\]
\text{Stress} = 200 \times 10^9 \times 12 \times 10^{-6} \times 50 = 120 \text{ MPa}
Formula (extracted text)
\[ \text{Stress} = E \times \alpha \times \Delta T \]
Variables and units
- No variables provided in audit spec.
Sources (authoritative):
- Home — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/ - Engineering — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/engineering - Mechanical Engineering — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/subcategories/mechanical-engineering - Learn more — asme.org · Accessed 2026-01-19
https://www.asme.org/codes-standards - Duct Sizing Calculator (Equal Friction Method) — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/duct-sizing - Chiller Load Calculator — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/chiller-load - Psychrometric Chart Calculator — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/psychrometric-chart - Fin Heat Transfer Calculator — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/fin-heat-transfer
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.