THICK-WALLED PRESSURE VESSELS 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. 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
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.9.4P: Two steel tubes are joined at B by four pins (dp= 11 mm), as shown in the cross section a—a in the...
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THICK-WALLED PRESSURE VESSELS
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.
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.
ii. Graphically present the general form of the maximum shear stress
variation across the compound cylinder wall clearly indicating the
values at the cylinder bore, common interface and the outer surface.
What do you infer by comparing the shear stress distributions in the
respective cylinders?
iii. If the maximum operating pressure the compound cylinder has been
designed for is 200 MPa and a Factor of Safety of 1.2 has been used,
calculate the yield strength of the material of manufacture
according to Tresca Yield Criterion.
Transcribed Image Text:THICK-WALLED PRESSURE VESSELS 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. 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. ii. Graphically present the general form of the maximum shear stress variation across the compound cylinder wall clearly indicating the values at the cylinder bore, common interface and the outer surface. What do you infer by comparing the shear stress distributions in the respective cylinders? iii. If the maximum operating pressure the compound cylinder has been designed for is 200 MPa and a Factor of Safety of 1.2 has been used, calculate the yield strength of the material of manufacture according to Tresca Yield Criterion.
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