﻿ Calculator for Shaft-hub connection, Interference fit
d  Jacket to ceramic interference in atomizer wheel

WheelSpeed: rpm Wdo mm
Lc mm  mc g
If z=0 then rotating wheel else static shink of jacket
di mm L mm  Ei GPa   vi
dm mm C  Eo GPa   vo
do mm z mm  µ
(Default value steel shaft and steel hub)
Omega /sec
Fc kN
Interference δ = C·z mm
Interference pressure p MPa
Sigma Based on thin wall Jacket MPa
Friction force Ff = π·dm·L·μ·p kN
Axial force Fp = p·(π/4)(d12-d22) kN
Transmission torque T = Ff·dm/2 Nm

 Stresses ring i ring o di d d do σt MPa MPa MPa MPa σr MPa MPa MPa MPa σe MPa MPa MPa MPa

 Linear elasticity: The calculator is based on elastic deformation (Lame's equation), i.e. the stresses should be smaller than the elastic limit of the element materials.Hollow shaft: This calculator can also be applied for hollow shafts (di>0). Self locking: The cone type shaft-hub connection is self locking (Ff=Fp) when μ=tan(α/2)=(d1-d2)/(2L)=C/2 where α is the cone angle and C=(d1-d2)/L. In shaft-hub connections which need to be self locking the cone is in the range C=0.1..0.2. Surface roughness: The interference should be corrected for the effect of surface roughness. The flattening of roughness peaks by mounting under high pressure is generally estimated at 10% of the Rz-value where Rz=6Ra (ISO 6336-2). The correction at the diametrical interference thus becomes 0.1·2·(Rz1+Rz2). If the surface roughness of the shaft Ra1=0.5μm and that of the bore Ra2=1μm then dδ=0.1·2·6·(0.5+1)=1.8μm and δeff=δm-dδ where δeff=effective value of diametrical interference, δm=measured value of diametrical interference and dδ=correction for surface roughness. Coefficient of friction: Approximate value for the coefficient of friction μ are: for steel - steel contacts dry between 0.1 and 0.15, lubricated between 0.05 and 0.1, for steel - yellow metal contacts dry between 0.05 and 0.1. Cone type Clutches: In cone clutches which are designed not to jam the cone is always above C>0.2. The maximum interference pressure in cone clutches depends on the materials used and the operating conditions (frictional heating: Limiting PV value).
www.tribology-abc.com