Free Engineering Tool #058

Bearing Press-Fit Force Calculator

Estimate the axial force required to cold press-fit a bearing onto a shaft. Uses Lamé’s thick-cylinder equations with assembly friction coefficient.

Lamé EquationsAssembly ForceCold Press
Quick presets

Results

Press-Fit Force
Interface Pressure p
Force in tonnes
Recommended Press Capacity
Hot Mounting Temperature

Interface Pressure (Lamé)

Press-Fit Force

  • μ — assembly friction: 0.08–0.12 with oil, 0.15–0.20 dry
  • δ — diametral interference (shaft OD − bearing bore)
  • d — nominal bore diameter
  • Do — bearing outer diameter

Hot Mounting Alternative

ℹ️ Heating the bearing to 80–110°C expands the inner ring enough to slide onto the shaft without force. Required ΔT ≈ δ / (d × α) + 10°C margin. Never exceed 120°C to avoid metallurgical changes.

Practical Example

Example — 6210 (50×80×18), δ = 0.018 mm

k = 50/80 = 0.625

p = 210000 × 0.018 / (2 × 50) × (1 − 0.625²) = 23.3 MPa

F = 23.3 × π × 50 × 18 × 0.10 / 1000 = 6.6 kN (0.67 tonnes)

⚠️ Critical: When pressing a bearing onto a shaft, apply force ONLY to the inner ring. Never transmit force through rolling elements — this will cause brinelling damage.

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