An external pressure of 12 MPa is applied to a closed-end thick cylinder of internal diameter 150 mm and external diameter 300 mm. If the maximum hoop stress on the inner surface of the cylinder is limited to 30 MPa: (a) What maximum internal pressure can be applied to the cylinder? (b) Sketch the variation of hoop and radial stresses across the cylinder wall. (c) What will be the change in the outside diameter when the above pressure is applied? [Take E = 207 GPa and v = 0.29]

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 7.4.8P: - A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s...
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An external pressure of 12 MPa is applied to a closed-end thick cylinder of internal diameter
150 mm and external diameter 300 mm. If the maximum hoop stress on the inner surface of the
cylinder is limited to 30 MPa:
(a) What maximum internal pressure can be applied to the cylinder?
(b) Sketch the variation of hoop and radial stresses across the cylinder wall.
(c) What will be the change in the outside diameter when the above pressure is applied?
[Take E = 207 GPa and v = 0.29]
Transcribed Image Text:An external pressure of 12 MPa is applied to a closed-end thick cylinder of internal diameter 150 mm and external diameter 300 mm. If the maximum hoop stress on the inner surface of the cylinder is limited to 30 MPa: (a) What maximum internal pressure can be applied to the cylinder? (b) Sketch the variation of hoop and radial stresses across the cylinder wall. (c) What will be the change in the outside diameter when the above pressure is applied? [Take E = 207 GPa and v = 0.29]
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