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Shrink Fit & Thermal Expansion Calculator

Calculate the required heating temperature, thermal expansion, and shrink fit interference for shaft-hub assemblies. Select your material, enter dimensions, and get results instantly.

Assembly Details

Interference: 0.0010 in

Results

Required Hub Temperature
0 °F
Temperature Rise Needed 0 °F
Bore Expansion at Target Temp 0.0000 in
Interference at Ambient 0.0000 in
Clearance When Heated 0.0000 in
Safety Margin --
Est. Cool-Down Time --
Thermal Expansion: ΔL = L × α × ΔT
where α = coefficient of thermal expansion
Required ΔT = (interference + clearance) / (bore × α)

Assumes uniform heating. Verify critical assemblies with testing.

How Shrink Fits Work

A shrink fit uses thermal expansion to assemble interference fit parts without pressing. You heat the hub (or cool the shaft) until the bore expands enough to slip over the shaft. When the hub cools back to ambient temperature, it contracts and grips the shaft with tremendous force.

Thermal Expansion

All metals expand when heated. The amount of expansion depends on three factors: the original dimension, the coefficient of thermal expansion (CTE), and the temperature change. The formula is simple: ΔL = L × α × ΔT.

Assembly Clearance

You need more than just enough expansion to overcome the interference. Add assembly clearance (typically 0.002″ to 0.005″) so you have time to position the hub before it cools and seizes. More clearance means more time to work, but requires higher temperature.

Pro tip: Use an oven for uniform heating. Torches create hot spots that cause uneven expansion and can damage the material. For aluminum, keep below 400°F to avoid temper changes.

Material Considerations

Aluminum expands nearly twice as much as steel per degree. This means aluminum hubs need lower temperatures for the same interference. But it also means aluminum hubs lose their grip faster in high-temperature environments.

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Frequently Asked Questions

A shrink fit is an interference fit where the hub is heated to expand its bore, slipped over the shaft, then allowed to cool. As the hub contracts, it grips the shaft tightly. Shrink fits create stronger joints than press fits because they avoid surface damage from pressing.
The required temperature depends on the interference, bore diameter, material CTE, and desired assembly clearance. For steel hubs, typical heating temperatures range from 300-600°F. Aluminum requires lower temperatures due to its higher CTE. This calculator finds the exact temperature needed.
CTE measures how much a material expands per degree of temperature change. It is expressed in inches per inch per degree Fahrenheit (in/in/°F) or mm/mm/°C. Aluminum has a high CTE (12.8 × 10&supmin;&sup6;/°F) while steel is lower (6.5 × 10&supmin;&sup6;/°F).
Yes, cooling the shaft with dry ice (-109°F) or liquid nitrogen (-321°F) is called a cryo-fit. It works well for small interferences and when the hub cannot be heated. You can also combine both methods — heat the hub and cool the shaft — for maximum clearance.
Cool-down time depends on the mass of the hub, the temperature differential, and ambient conditions. A small hub may cool in 15-30 minutes. A large hub can take several hours. Allow the assembly to cool naturally — quenching can cause uneven contraction and residual stress.

Shrink Fit Machining at RivCut

We machine precision interference fit components for thermal assembly. From tight-tolerance bores to matched shaft-hub pairs, we deliver parts ready for shrink fit assembly.

Precision Bores

We hold ±0.0002″ on bore diameters with controlled surface finish. Consistent roundness and straightness ensure uniform interference across the full contact length.

Matched Pairs

We machine shaft and hub as matched pairs with controlled interference. Each pair is measured and documented so you know the exact fit before assembly.

Multiple Materials

Steel, aluminum, stainless, cast iron, bronze, and titanium. We regularly machine dissimilar material pairs — steel shafts into aluminum hubs is our most common shrink fit job.

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Get Free DFM Feedback on Your Shrink Fit Design

Upload your CAD file or drawing and our engineers will review your shrink fit design for free. We check tolerances, material compatibility, and assembly feasibility.

  • Interference and tolerance stack-up review
  • Material pairing and CTE compatibility check
  • Surface finish optimization for shrink fit retention
  • Heating procedure and assembly guidance
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