Calculator
Example data table
| Material | Original Length | Temperature Change | α (×10⁻⁶/°C) | ΔL | Final Length |
|---|---|---|---|---|---|
| Steel | 2.00 m | 80 °C | 12.0 | 1.92 mm | 2.00192 m |
| Aluminum | 1.50 m | 100 °C | 23.0 | 3.45 mm | 1.50345 m |
| Copper | 0.80 m | 175 °C | 16.5 | 2.31 mm | 0.80231 m |
| Glass | 1.00 m | 50 °C | 9.0 | 0.45 mm | 1.00045 m |
These sample rows show how the same formula works across common materials and temperature ranges.
Formula used
In linear thermal expansion, a solid lengthens or shortens in direct proportion to its original length, temperature change, and coefficient of expansion.
This model works best when heating is uniform, the material stays within its elastic range, and temperature changes are not extreme.
How to use this calculator
- Choose the calculation target, such as change in length or coefficient.
- Select a material preset or type your own α value.
- Enter the original length, final length, or both, depending on the chosen mode.
- Enter the initial and final temperatures using one scale.
- Pick a result unit for cleaner output and chart labels.
- Press Calculate to view results above the form.
- Use the export buttons to save the current results as CSV or PDF.
FAQs
1) What is linear thermal expansion?
It is the change in a material’s length when temperature changes. The effect depends on the original length, the temperature interval, and the material’s coefficient of linear expansion.
2) What does the coefficient α represent?
α shows how much a material changes length per unit length for each degree of temperature change. Larger α values mean greater expansion or contraction.
3) Can this calculator handle contraction during cooling?
Yes. If the final temperature is lower than the initial temperature, the temperature change becomes negative. That produces a negative length change, which represents contraction.
4) Why do some inputs use different units?
Lengths can be entered in millimeters, centimeters, meters, inches, or feet. The calculator converts them internally, then displays results in your preferred output unit.
5) When is the linear model less accurate?
Accuracy can drop under very large temperature changes, non-uniform heating, phase changes, or when a material’s coefficient varies significantly with temperature.
6) What is linear strain in this context?
Linear strain is the fractional change in length. It equals ΔL divided by the original length. It is dimensionless and helps compare deformation across different sizes.
7) Can I solve for α from measured test data?
Yes. Choose the mode for coefficient α, then enter original length, final length, and temperatures. The calculator estimates α directly from those measurements.
8) Why is the chart useful?
The chart makes the length-temperature relationship easy to inspect. It helps you present trends, compare scenarios, and quickly spot whether growth appears modest or significant.