Force fits of a shaft and gear are assembled in an air-operated arbor press. An estimate of assembly force and torque capacity of the fit is needed. Assume the coefficient of friction is f, the fit interface pressure is p, the nominal shaft or hole radius is R, and the axial length of the gear bore is l.
(a) Show that the estimate of the axial force is Fax = 2π f R l p.
(b) Show the estimate of the torque capacity of the fit is T = 2π f R 2 l p.