Materials / Related reference

Calculate a free length change.

Enter a mean linear coefficient appropriate to the material and the complete temperature interval. No material value is assumed.

Read coefficient units and sources →

Your inputs

Your result

Enter values and calculate. Negative length changes indicate contraction.

Formula and reproducible example

ΔL = L₀ × α × 10⁻⁶ × (T₂ − T₁); L₂ = L₀ + ΔL. α uses parts per million per degree on the selected temperature scale. Length changes use the same unit as L₀.

Assumed arithmetic inputs: L₀ = 1000 mm, α = 12 µm/m/K, 20 → 70 °C. The result is +0.6 mm and a final length of 1000.6 mm. This is not a coefficient recommendation for any grade.

What this model leaves out

It assumes free, uniform expansion and small strain, with a valid mean coefficient for the interval. Gradients, restraint, phase changes, moisture, creep, joint stiffness and material damage are outside this model. A result is not a permitted heating temperature or a shrink-fit pressure.

Sources and scope

Reviewed 23 October 2026. Process explanations and public standard summaries do not establish a treatment recipe or certify a supplied part.

Kaiser Aluminum 6061 Rod and Bar — page 2, typical physical properties

KA-RBH-6061-8.10, page 2, typical physical properties: 23.6 µm/m/K over 20–100 °C. The coefficient row does not separately specify temper or test method. This is a typical source example, not a batch guarantee or a value for every 6061 product.

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NIST — Engineering Metrology Toolbox FAQ

Temperature effects and the need for material-appropriate expansion data in dimensional measurement.

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NIST — Aluminum 6061-T6 cryogenic data

Historical dataset, no longer updated. The linear-expansion model covers 4–300 K and is referenced to length at 293 K; it is not a constant coefficient for elevated temperatures.

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