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Linear Thermal Expansion — result sheet
Calculate length change and final length from initial length, linear expansion coefficient, and temperature change.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Linear change deltaL = alpha L0 deltaT and final length L = L0 + deltaL. This is a small-strain linear approximation only.
This calculator applies the linear thermal-expansion approximation to an entered length, coefficient, and signed temperature change. It returns length change and final length in metres and does not approve a material or structure.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial length — m; Finite nonnegative starting length in metres.; minimum 0; maximum 1000000000
- Linear expansion coefficient — 1/K; Finite nonnegative coefficient per kelvin.; minimum 0; maximum 0.001
- Temperature change — K; Finite signed temperature change in kelvins.; minimum -1000; maximum 1000
Worked example
| Input | Value |
|---|---|
| Initial length | 2 |
| Linear expansion coefficient | 1.2E-5 |
| Temperature change | 100 |
Length change is 0.0024 m and final length is 2.0024 m.
Assumptions and limits
- Initial length is a finite nonnegative value in metres, the linear coefficient is a finite nonnegative value per kelvin, and temperature change is a finite signed value in kelvins.
- The coefficient is treated as constant across the entered temperature change and expansion is one-dimensional and small-strain; geometry and material state are not inferred.
- This is a small-strain linear approximation only. Material selection, joints, stress, structural approval, and safety advice are outside scope.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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