3.1.1 General
3.1.2 Shrinkage of keyless
propellersIn the case of keyless shrinking of propellers, the following requirements
apply:A : 100% theoretical contact area between propeller
boss and shaft, as read from plans and disregarding oil grooves,
in mm2 dPM : Diameter of propeller shaft at the mid-point of the taper
in the axial direction, in mm dH : Mean outer diameter of propeller hub at the axial position
corresponding to dPM, in mm K : K = dH/dPM F : Tangential force at interface, in N MT : Continuous torque transmitted, in N.m; where not indicated,
MT may be assumed as indicated in [2.2.1] C :
The Society reserves the right to increase the value of C if
the shrinkage needs to absorb an extremely high pulsating torqueT : Temperature of hub and propeller shaft material, in °C,
assumed for calculation of pull-up length and push-up load V : Ship speed at P power, in knots S : Continuous thrust developed for free running ship, in N sF : Safety factor against friction slip at 35°C q : Half taper of propeller shaft (for instance: taper = 1/15, q =1/30) m : Coefficient of friction between mating surfaces p35 : Surface pressure between mating surfaces, in N/mm2,
at 35°C pT : Surface pressure, in N/mm2, between
mating surfaces at temperature T p0 : Surface pressure between mating surfaces, in N/mm2,
at 0°C pMAX : Maximum permissible surface pressure, in N/mm2,
at 0°C d35 : Push-up length, in mm, at 35°C dT : Push-up length, in mm, at temperature T dMAX : Maximum permissible pull-up length, in mm, at 0°C WT : Push-up load, in N, at temperature T sID : Equivalent uni-axial stress in the boss according to the
von Mises-Hencky criterion, in N/mm2 aP : Coefficient of linear expansion of shaft material, in mm/(mm°C) aM : Coefficient of linear expansion of boss material, in mm/(mm°C) EP : Value of the modulus of elasticity of shaft material, in
N/ mm2 EM : Value of the modulus of elasticity of boss material, in
N/ mm2 nP : Poisson's ratio for shaft material nM : Poisson's ratio for boss material
For other symbols not defined above, see [2.2].RS,MIN : Value of the minimum yield strength (ReH), or
0,2% proof stress (Rp 0,2), of propeller boss material,
in N/mm2.
Cast and forged steel: E = 206000
Cast iron: E = 98000
Type Cu1 and Cu2 brass: E = 108000
Type Cu3 and Cu4 brass: E = 118000
Cast and forged steel: n = 0,29
All copper based alloys: n = 0,33
Cast and forged steel and cast iron: a = 12,0
10-6
All copper based alloys: a = 17,5
10-6
where:
B = m2-sF2q2






