Cone-type shaft-hub interference fit — fixed 20mm mean diameter

Interference, contact pressure, friction force, axial force and transmission torque for a cone-type shaft-hub connection (Lame equations), with the mean diameter fixed at 20mm as in the original locked demo page.

✓ gevalideerd tegen origineelorigineel: /calculators/c5_16.htm
Cone-type shaft-hub interference fit — fixed 20mm mean diameter — original diagram from /calculators/c5_16.htm
Overmaat, δ = C·z0.04 mm
Contactdruk, p196.88 MPa
Wrijvingskracht, Fᶠ = π·dₘ·L·µ·p24.74 kN
Axiale kracht, Fₚ = p·(π/4)(d₁²−d₂²)24.74 kN
Overgedragen koppel, T = Fᶠ·dₘ/2247.4 Nm

Stresses

σt as @ dᵢ-393.75 MPa
σt as @ dₘ-196.87 MPa
σt naaf @ dₘ223.13 MPa
σt naaf @ dₒ26.25 MPa
σe as @ dᵢ393.75 MPa
σe as @ dₘ196.88 MPa
σe naaf @ dₘ363.97 MPa
σe naaf @ dₒ26.25 MPa

The legacy "please login" demo lock froze the mean diameter d_m to 20 mm (also the page's own default). Every other input (bore/outer diameters, length, cone ratio, axial displacement, friction, moduli, Poisson ratios) was already free to vary under the lock and remains free here. The interference should be corrected for surface roughness (10%·2·(Rz1+Rz2), Rz≈6Ra per ISO 6336-2). Assumes stresses stay below the elastic limit.

Methode & referenties

  • Lame’s equations for thick-walled cylinders (elastic regime), applied to a cone-type shaft-hub connection.
  • Self-locking: Ff = Fp when µ = tan(α/2) = (d1−d2)/(2L) = C/2. Self-locking connections typically use C = 0.1..0.2; cone clutches (designed NOT to jam) use C > 0.2.
  • FIXED GEOMETRY: mean diameter d_m = 20 mm — the original login gate forces this value regardless of input; see notes.

De berekening is een letterlijke overzetting van de originele client-side JavaScript van /calculators/c5_16.htm. Resultaten zijn geverifieerd gelijk aan het origineel via een geautomatiseerde golden-master-test. Geen enkele formule is opnieuw afgeleid of “verbeterd”.

Cone-type shaft-hub interference fit — fixed 20mm mean diameter — Engineering ABC