When to use this calculator
Estimate elastic length change of a uniform axially loaded bar. Ideal uniform linear-elastic bar with centred axial loading; stability and strength are not assessed.
Explore the stress, strain & material response calculators for other questions in this topic. For a related calculation, use the Bearing Stress Calculator: Estimate nominal pin or bolt bearing stress on a plate.
PUTTING IT INTO PRACTICE
Axial Elongation: 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 |
|---|---|
| Axial force (N) | 10,000 |
| Original length (mm) | 1,000 |
| Area (mm²) | 100 |
| Young modulus (GPa) | 200 |
| Result | 0.5 mm |
- Check the input labels and enter the example values above.
- Apply the relationship: Elongation = force × length/(area × modulus).
- The result is 0.5 mm, rounded for display.
How to interpret your result
Ideal uniform linear-elastic bar with centred axial loading; stability and strength are not assessed.
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 axial elongation calculator useful?
Estimate elastic length change of a uniform axially loaded bar. Ideal uniform linear-elastic bar with centred axial loading; stability and strength are not assessed.
How do I use the axial elongation calculator?
Enter axial force (n), original length (mm), area (mm²), young modulus (gpa). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Elongation = force × length/(area × modulus).
What should I check before using the result?
Ideal uniform linear-elastic bar with centred axial loading; stability and strength are not assessed.
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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