Engineering

Linear Thermal Expansion

Calculate a rod length change with a constant linear expansion coefficient and temperature difference.

01Input and settings

The calculation runs in your browser. You can use the tool without installing software.

02Result

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About this tool: Linear Thermal Expansion

Calculate a rod length change with a constant linear expansion coefficient and temperature difference.

Enter the initial length in metres, the coefficient in units of 10⁻⁶/K and the temperature difference in kelvins or degrees Celsius. For example, coefficient 12 means 12×10⁻⁶/K. Cooling can shorten the rod. The coefficient is held constant and the predicted final length must remain positive.

How the calculation works

ΔL = α·L₀·ΔT; L = L₀ + ΔL

Worked example

Initial length
2
Linear expansion coefficient
12
Temperature change
50
ΔL = 0.0012 m; L = 2.0012 m

Questions and answers

What does this tool do?

Calculate a rod length change with a constant linear expansion coefficient and temperature difference. Enter the initial length in metres, the coefficient in units of 10⁻⁶/K and the temperature difference in kelvins or degrees Celsius. For example, coefficient 12 means 12×10⁻⁶/K. Cooling can shorten the rod. The coefficient is held constant and the predicted final length must remain positive.

What affects precision and input format?

Enter the initial length in metres, the coefficient in units of 10⁻⁶/K and the temperature difference in kelvins or degrees Celsius.

Where are the calculations performed?

The calculation runs in your browser. You can use the tool without installing software.

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