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Brezplačno inženirsko orodje #058

Kalkulator sile stiskanja ležaja

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.

Laméjeve enačbeZborska silaHladno stiskanje
Hitre prednastavitve

Meja modela: 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.

Rezultati

Sila stiskanja
Vmesni tlak p
Ekvivalentna tona sile
Theoretical Minimum Temperature Rise

Vmesni tlak (Lamé)

Sila stiskanja

  • 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

Alternativa vroče montaže

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.

Praktični primer

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)

⚠️ Kritično: Pri pritiskanju ležaja na gred uporabljajte silo SAMO na notranji obroč. Nikoli ne prenašajte sile prek kotalnih elementov – to bo povzročilo poškodbe zaradi brineliranja.

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