A thick-walled steel, compound cylinder has the following dimensions: Internal radius, r;= 0.1m Interface radius, ''int = 0.2m Outer radius, r = 0.35m Young's Modulus, Esteel = 210GPa (a) Calculate the interference, &, required to achieve a radial interface stress of -100 MPa. (b) Calculate the residual circumferential stresses, due to the interference fit at the interface radius, rint, for the inner and outer cylinders. (c) Calculate the circumferential stress at the inner radius, due to the interference fit, and hence determine the internal pressure required to return this stress to zero.

A thick-walled steel, compound cylinder has the following dimensions: Internal radius, r;= 0.1m Interface radius, ''int = 0.2m Outer radius, r = 0.35m Young's Modulus, Esteel = 210GPa (a) Calculate the interference, &, required to achieve a radial interface stress of -100 MPa. (b) Calculate the residual circumferential stresses, due to the interference fit at the interface radius, rint, for the inner and outer cylinders. (c) Calculate the circumferential stress at the inner radius, due to the interference fit, and hence determine the internal pressure required to return this stress to zero.

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

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

Q1
A thick-walled steel, compound cylinder has the following dimensions:
Internal radius, r¡ = 0.1m
Interface radius, rint = 0.2m
Outer radius, r = 0.35m
Young's Modulus, Esteel = 210GPa
(a) Calculate the interference, 8, required to achieve a radial interface stress of -100 MPa.
(b) Calculate the residual circumferential stresses, due to the interference fit at the interface
radius, rint, for the inner and outer cylinders.
(c) Calculate the circumferential stress at the inner radius, due to the interference fit, and hence
determine the internal pressure required to return this stress to zero.
(d) Plot the radial stresses, as a consequence of superposition of the interference fit and internal
pressure determined in (c), at the inner, interface and outer radii. Interpolate an approximate
radial stress distribution through these points.

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