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Gratis tekniskt verktyg #058

Kalkylator för presspassningskraft i lager

Estimate axial sliding force for an idealized same-material solid shaft and thick-walled fitted ring. This is a Lamé-model estimate, not a bearing-manufacturer mounting-force value.

Lamé-ekvationerMonteringskraftKallpress
Snabbförinställningar

Model boundary: valid only for a uniform elastic interference fit between a solid shaft and a concentric thick-walled ring of the same isotropic material under the simplified open-ended Lamé model. Real rolling-bearing rings, hollow shafts, dissimilar materials, short contacts and nonuniform geometry require manufacturer calculation or FEA.

Resultat

Press-Fit-kraft
Gränssnittstryck p
Equivalent tonne-force
Theoretical Minimum Temperature Rise

Gränssnittstryck (Lamé)

Press-Fit-kraft

  • μ — validated sliding-friction coefficient for the actual interface
  • δ — diametral interference (shaft OD − ring bore)
  • d — nominal interface diameter
  • Dr — actual outer material boundary of the fitted thick ring, not overall bearing OD
  • E — Young’s modulus shared by shaft and ring in this special-case equation

Alternativ för varmmontering

ℹ️ The thermal result is only ΔTmin = δ/(αd), the uniform temperature rise that expands the bore by exactly the interference. It provides zero assembly clearance and ignores heat loss to the shaft. Add an engineered clearance allowance and follow the component manufacturer’s permitted heating method and temperature limit.

Praktiskt exempel

Worked example — idealized ring geometry, δ = 0.018 mm

k = 50/80 = 0,625

p = 210000 × 0.018 / (2 × 50) × (1 − 0.625²) = 23.03 MPa

F = 23.03 × π × 50 × 18 × 0.10 / 1000 = 6.51 kN (0.66 tf)

⚠️ Kritiskt: När du pressar ett lager på en axel, applicera kraft ENDAST på innerringen. Överför aldrig kraft genom rullkropparna – detta kommer att orsaka brinellskador.

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