KEVOS® MAKEOS · Materials

Differential Thermal Fit

How does clearance change at different part temperatures?

Calculate signed diametral clearance after hole and shaft undergo separate uniform temperature changes from one reference.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Hole diameter at reference temperaturemmActual or selected limit hole diameter at the reference temperature.
Shaft diameter at reference temperaturemmActual or selected limit shaft diameter at the same temperature.
Hole-material expansion coefficientµm/(m·K)Validated mean linear expansion coefficient for the hole material over its range.
Shaft-material expansion coefficientµm/(m·K)Validated mean coefficient for the shaft material over its range.
Common reference temperature°CCommon temperature at which both entered diameters apply.
Hole operating temperature°CUniform temperature of the hole-carrying part.
Shaft operating temperature°CUniform operating shaft temperature.

Method and formulas

  1. For each part: diameter at temperature = reference diameter × [1 + coefficient × 10⁻⁶ × temperature change].
  2. Signed diametral clearance = hole − shaft. Positive is gap; negative is geometric interference.
  3. Example: 50.02 mm hole with coefficient 23 and 50 mm shaft with coefficient 12, referenced at 20°C and operating at 80°C and 60°C, gives 50.0890276 and 50.024 mm. Clearance = 0.0650276 mm.

Limitations

  • Uniform, unrestrained isotropic expansion with constant mean coefficients; gradients, coatings and constraint are excluded.
  • Interference is geometric, not a contact-pressure or assembly-force result.
  • Coefficients are user-supplied, and the examples do not select materials. Tolerance/temperature corner cases require separate evaluation.
  • Default values are worked examples, not recommended settings or material properties.

Typical uses

  • operating clearance
  • differential expansion
  • thermal interference

Who it is for

  • Design engineers
  • Maintenance engineers

What you get

  • Operating diameters
  • Reference and operating signed clearance
  • Thermal clearance change

Interpreting the result

  • Check minimum and maximum clearance across credible size and temperature conditions.
  • Verify material data over the complete temperature range.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 375–379. Topic reference; implementation and examples are original, and no source tables are reproduced.

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