A thin-walled cylindrical pressure vessel of radius r is subjected simultaneously to internal gas pressure p and a compressive force F acting at the ends (see figure 1). (a) What should be the magnitude of the force F in order to produce pure shear in the wall of the cylinder? (b) Compute the required thickness of the vessel if Force F= 190KN, internal pressure p = 12 MPa, inner diameter = 200 mm, and allowable normal and shear stresses are 110 MPa and 60 MPa, respectively?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.11.4P: A thin-walled steel tube of rectangular cross section (see figure) has centerline dimensions b = 150...
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A thin-walled cylindrical pressure vessel of radius r is subjected simultaneously to internal gas
pressure p and a compressive force F acting at the ends (see figure 1).
(a) What should be the magnitude of the force F in order to produce pure shear in the wall of
the cylinder?
(b) Compute the required thickness of the vessel if Force F = 190KN, internal pressure p = 12
MPa, inner diameter = 200 mm, and allowable normal and shear stresses are 110 MPa and 60
MPa, respectively?
Figure 1: cylindrical pressure vessel
Transcribed Image Text:A thin-walled cylindrical pressure vessel of radius r is subjected simultaneously to internal gas pressure p and a compressive force F acting at the ends (see figure 1). (a) What should be the magnitude of the force F in order to produce pure shear in the wall of the cylinder? (b) Compute the required thickness of the vessel if Force F = 190KN, internal pressure p = 12 MPa, inner diameter = 200 mm, and allowable normal and shear stresses are 110 MPa and 60 MPa, respectively? Figure 1: cylindrical pressure vessel
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