Strain Calculator
Calculate strain step by step: ε = ΔL ÷ L₀ (dimensionless).
In short
Formula: ε = ΔL ÷ L₀ (dimensionless).
Strain
0.0005
- Microstrain
- 500 µε
- Percent
- 0.05%
What this calculator does
Calculate strain step by step: ε = ΔL ÷ L₀ (dimensionless). Worked example, questions and limitations included.
Use it to turn Original length, Change in length into a checked result you can compare, copy, or rerun with different assumptions.
The page shows the formula, a numeric worked example, and the assumptions that affect this mechanical calculation.
Inputs and what they mean
- Original length
- — number value.
- Change in length
- — number value.
How to use it
- Enter each value in the unit shown next to the box (use the unit converter first if your numbers are in other units).
- Check the breakdown to see every intermediate step.
- Read the limitations before relying on the result.
Formula
Use the same unit for both lengths.
Negative change means shortening (compressive strain).
Engineering strain based on original length.
ε = ΔL ÷ L₀ (dimensionless).
Inputs used: Original length, Change in length.
Worked example
1 m bar stretches 0.5 mm
- ε = 0.5 ÷ 1000 = 0.0005 (500 µε).
Reading the result
The headline figure is the main answer. Any breakdown underneath shows the parts that make it up, so you can check the working and see what changes when you adjust an input.
Limitations and assumptions
- Engineering (small) strain.
- Uniform deformation assumed.
- Thermal strain not separated.
- Results are estimates for planning and learning. Real designs, installations and bids must be checked by a qualified, licensed professional against the codes that apply where you work.
- The result depends on the values you enter for this strain calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.
Common questions
Why does strain have no unit?
It is length divided by length, so units cancel. It is often shown as microstrain (×10⁻⁶).
What is true strain?
True strain is ln(L/L₀) and matters for large deformations. For small strains it equals engineering strain.
How do I get stress from strain?
In the elastic range, stress = Young's modulus × strain — see the Young's modulus calculator. Check the formula, example, and limitations on this page before using the result for a real mechanical decision.
How do I use the Strain Calculator?
Enter the required values for Original length, Change in length. The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.
What formula does the Strain Calculator use?
ε = ΔL ÷ L₀ (dimensionless). The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.
Can the Strain Calculator be used for exact decisions?
Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.
Related tools
Calculate mechanical power step by step: P = W ÷ t, or P = F × v.