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Free Engineering Tool #054

Bearing Thermal Expansion Calculator

Calculate separate uniform axial thermal changes of shaft and housing and their signed difference. Enter actual lengths, mean CTE values and temperature changes.

δ = L × α × ΔTSigned Heating/CoolingNo Automatic Bearing Selection

Uniform-temperature estimate: use mean CTE over each actual temperature interval. For temperature gradients or constrained structures, integrate thermal strain or use a thermo-mechanical model.

Results

Shaft Axial Expansion δ_shaft
Housing Axial Expansion δ_housing
Differential Expansion

Thermal Expansion Formula

  • L — effective initial span (mm)
  • α — mean linear CTE over the stated interval (μm/(m·K), numerically ×10⁻⁶/K)
  • ΔT — signed temperature change from the reference state (K or °C difference)

CTE input

CTE is material-grade and temperature dependent. Obtain a mean value over the actual interval from controlled material data rather than choosing a broad material-family label.

Locating / Non-Locating Arrangement

ℹ️ A locating/non-locating support can accommodate axial displacement from relative shaft/housing thermal growth, but required travel and bearing type must be selected from the complete arrangement loads, fits, tolerances and manufacturer data.

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