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Cutting Parameters

Thermal Expansion Calculator

Thermal expansion of a part from its initial length, temperature rise and coefficient of thermal expansion. Two metres of steel grows about 24 µm per °C — enough to blow a tight tolerance.

Input Parameters

Results

Expansion (µm)—
Final Length (mm)—
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Linear thermal expansion formula

Materials expand when heated and contract when cooled. In precision machining, even a few degrees of temperature change can push a part out of tolerance. This calculator estimates the dimensional change for common engineering materials.

Frequently asked questions

Why does my part measure differently after machining?

Parts warm up during machining (especially with aggressive cutting). A 10 deg C temperature rise on a 100 mm steel part causes ~0.012 mm expansion -- enough to scrap a tight H7 tolerance. Always measure at the reference temperature (20 deg C per ISO 1).

How does thermal expansion affect press fits?

Heating a bore expands it, allowing a shaft to slide in easily. A 100 mm steel bore heated to 150 deg C expands by ~0.15 mm. This is the principle behind shrink fits -- the interference disappears when hot and returns when cool.

What is the CTE of carbide vs steel?

Tungsten carbide CTE ≈ 5.5×10⁻⁶/ deg C, roughly half that of steel. This mismatch causes stress in brazed carbide tools and carbide-reinforced components during thermal cycling.

How to use this Thermal Expansion Calculator

Enter the original length, coefficient of thermal expansion (use 12 for steel, 23 for aluminium), and temperature change. The calculator shows the linear expansion and final length. Use positive ΔT for heating, negative for cooling.

Common mistakes to avoid

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ALLOWING FOR THERMAL GROWTH? Thermal growth is why tight-tolerance work needs a supplier who controls temperature, not just dimensions. See what we verify in a precision grinding line.

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