A thick-walled cylinder with internal and external radii 86 mm and 166 mm respectively, is subject to internal and external pressures of 158 MPa and 60 MPa respectively. Apply Lame's equations to find the following: Radial and hoop stresses at radii 106 mm, 126 mm and 146 mm respectively. Draw the radial and hoop stresses distribution across the thickness of the cylinder.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.5.7P: A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0,5 in, is subjected...
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A thick-walled cylinder with internal and external radii 86
mm and 166 mm respectively, is subject to internal and
external pressures of 158 MPa and 60 MPa respectively.
Apply Lame's equations to find the following:
(а)
Radial and hoop stresses at radii 106 mm, 126 mm and 146
mm respectively.
(b)
Draw the radial and hoop stresses distribution across the
thickness of the cylinder.
3.
Transcribed Image Text:A thick-walled cylinder with internal and external radii 86 mm and 166 mm respectively, is subject to internal and external pressures of 158 MPa and 60 MPa respectively. Apply Lame's equations to find the following: (а) Radial and hoop stresses at radii 106 mm, 126 mm and 146 mm respectively. (b) Draw the radial and hoop stresses distribution across the thickness of the cylinder. 3.
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