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.

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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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Step 1: Determine the given parameters:

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Step 2: (a) Calculate the maximum amount of torque transmission:

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Step 3: Calculate the bending moment, torsion of shaft, axial stress:

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Step 4: (b) Determine the yield condition of a cylinder using Von Mises yield theory:

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