Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

p14.31 An open-ended compound thick-walled cylinder is
made by shrinkfitting an exterior cylindrical steel jacket onto an
interior steel tube. The following data are provided: E = 30,000 ksi,
a = 20 in., b = 30 in., and c = 40. The radial interference is 0.05 in.
Determine the maximum values of σ r and σ θ produced in the compound
cylinder by the shrink-fitting operation.
p14.32 A closed-ended compound cylinder is formed by
shrinking a steel [E = 200 GPa; ν = 0.3] tube that has an external
diameter of 320 mm and an internal diameter of 250 mm onto a
brass [E = 100 GPa; ν = 0.35] tube that has an internal diameter of
200 mm. The difference between the diameters of the contacting
surfaces before assembly is 0.10 mm. Determine the largest circumferential
stress in the finished assembly after an internal pressure
of p i = 50 MPa is applied.
p14.33 A compound thick-walled steel [E = 200 GPa; ν = 0.30]
cylinder consists of a jacket with an inside diameter of 250 mm and
an outside diameter of 300 mm shrunk onto a steel tube with an
inside diameter of 150 mm. The initial shrinkage contact pressure
is 28 MPa. Determine
(a) The initial radial interference required to produce the initial
shrinkage pressure.
(b) The maximum tensile stress in the finished assembly after an
internal pressure of p i = 200 MPa is applied.
p14.34 A solid 40 mm diameter steel [E = 200 GPa] shaft is
pressed into a steel gear hub that has an outside diameter of 120 mm.
(a) If a contact pressure of 180 MPa is required so that the gear
will not slip on the shaft, what is the minimum radial
interference needed to produce this shrinkage pressure?
(b) What is the maximum radial stress in the shaft?
(c) What is the largest circumferential stress in the gear hub?
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