A cylinder with a nominal 45 mm ID, a 60 mm OD, and a 30 mm length is to be mated with a solid shaft with a nominal 45 mm diameter. The cylinder and shaft are made from steel, with Sy = 390 Mpa and E = 207 GPa. The coefficient of friction for the steel interface is 0.7. The maximum and minimum allowable diameters for both the cylinder hole and the shaft are given as Dmax=45.025 mm, Dmin=45 mm dmax=45.086 mm, dmin=45.070 (a)Determine the maximum amount of torque that can be transmitted through this joint, assuming the shaft and cylinder are manufactured within their tolerances. (b)Determine yielding condition for the cylinder, due to the stress from the press fit. Use the Von Mises yielding theory.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A cylinder with a nominal 45 mm ID, a 60 mm OD, and a 30
mm length is to be mated with a solid shaft with a nominal 45
mm diameter. The cylinder and shaft are made from steel, with
Sy = 390 Mpa and E = 207 GPa. The coefficient of friction for
the steel interface is 0.7.
The maximum and minimum allowable diameters for both the
cylinder hole and the shaft are given as
Dmax=45.025 mm, Dmin=45 mm
dmax=45.086 mm, dmin=45.070
(a)Determine the maximum amount of torque that can be
transmitted through this joint, assuming the shaft and cylinder are
manufactured within their tolerances.
(b)Determine yielding condition for the cylinder, due to the
stress from the press fit. Use the Von Mises yielding theory.
Transcribed Image Text:A cylinder with a nominal 45 mm ID, a 60 mm OD, and a 30 mm length is to be mated with a solid shaft with a nominal 45 mm diameter. The cylinder and shaft are made from steel, with Sy = 390 Mpa and E = 207 GPa. The coefficient of friction for the steel interface is 0.7. The maximum and minimum allowable diameters for both the cylinder hole and the shaft are given as Dmax=45.025 mm, Dmin=45 mm dmax=45.086 mm, dmin=45.070 (a)Determine the maximum amount of torque that can be transmitted through this joint, assuming the shaft and cylinder are manufactured within their tolerances. (b)Determine yielding condition for the cylinder, due to the stress from the press fit. Use the Von Mises yielding theory.
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