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
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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