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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. ii. Graphically present the variation of each of these stresses across the cylinder wall, clearly indicating the values at the inner and outer surfaces of each cylinder. 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.

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. ii. Graphically present the variation of each of these stresses across the cylinder wall, clearly indicating the values at the inner and outer surfaces of each cylinder. 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)
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 7.3.8P: An element in plane stress from the fuselage of an airplane is subjected to compressive stresses of...
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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. ii. Graphically present the variation of each of these stresses across the cylinder wall, clearly indicating the values at the inner and outer surfaces of each cylinder. 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. ii. Graphically present the variation of each of these stresses across the cylinder wall, clearly indicating the values at the inner and outer surfaces of each cylinder. 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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