When to use this calculator
Estimate ideal axial stress when a bar cannot thermally expand. Fully restrained uniform linear-elastic bar; heating produces compression under the selected sign convention.
Explore the stress, strain & material response calculators for other questions in this topic. For a related calculation, use the Youngs Modulus Calculator: Estimate Young’s modulus from an elastic stress-strain pair.
PUTTING IT INTO PRACTICE
Thermal Stress Restrained Bar: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Young modulus (GPa) | 200 |
| Expansion coefficient (per K) | 1.200000e-5 |
| Temperature rise (K) | 50 |
| Result | -120 MPa |
- Check the input labels and enter the example values above.
- Apply the relationship: Stress magnitude/sign = −E × expansion coefficient × temperature rise.
- The result is -120 MPa, rounded for display.
How to interpret your result
Fully restrained uniform linear-elastic bar; heating produces compression under the selected sign convention.
Match the load, section and units before calculating. Nominal stress omits local concentrations, instability and many real failure mechanisms. These educational relationships do not verify a design against a standard.
Frequently asked questions
Does a low nominal stress prove a component is safe?
No. Local stress, fatigue, buckling, connections, defects, environment and applicable design requirements can control the result.
When is the thermal stress restrained bar calculator useful?
Estimate ideal axial stress when a bar cannot thermally expand. Fully restrained uniform linear-elastic bar; heating produces compression under the selected sign convention.
How do I use the thermal stress restrained bar calculator?
Enter young modulus (gpa), expansion coefficient (per k), temperature rise (k). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Stress magnitude/sign = −E × expansion coefficient × temperature rise.
What should I check before using the result?
Fully restrained uniform linear-elastic bar; heating produces compression under the selected sign convention.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Further reading
For background on this topic, see OpenStax: stress, strain and elastic modulus ↗. This is a topic reference, not an external review or endorsement of this tool.
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