A steel compound cylinder is formed by shrinking a tube 400 mm outside diameter and 300 mm inside diameter on to one of 300 mm outside diameter and 200 mm inside diameter. When subjected to an operating pressure of 200 MPa, the radial pressure generated at the common interface is 75 MNm-². a) Determine using Lame's equations, i. the radial and circumferential stresses at the cylinder bore, common interface and the outer surface. b) When subjected to the operating pressure of 200 MPa, i. calculate the maximum shear stress values at the cylinder bore, common interface and the outer surface. Note: There is no axial stress generated in the cylinder wall in this application.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...
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A steel compound cylinder is formed by shrinking a tube 400 mm outside diameter
and 300 mm inside diameter on to one of 300 mm outside diameter and 200 mm
inside diameter. When subjected to an operating pressure of 200 MPa, the radial
pressure generated at the common interface is 75 MNm-².
a) Determine using Lame's equations,
i.
the radial and circumferential stresses at the cylinder bore,
common interface and the outer surface.
b) When subjected to the operating pressure of 200 MPa,
i. calculate the maximum shear stress values at the cylinder bore,
common interface and the outer surface.
Note: There is no axial stress generated in the cylinder wall in this
application.
Transcribed Image Text:A steel compound cylinder is formed by shrinking a tube 400 mm outside diameter and 300 mm inside diameter on to one of 300 mm outside diameter and 200 mm inside diameter. When subjected to an operating pressure of 200 MPa, the radial pressure generated at the common interface is 75 MNm-². a) Determine using Lame's equations, i. the radial and circumferential stresses at the cylinder bore, common interface and the outer surface. b) When subjected to the operating pressure of 200 MPa, i. calculate the maximum shear stress values at the cylinder bore, common interface and the outer surface. Note: There is no axial stress generated in the cylinder wall in this application.
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