9.8 A thin cylinder of 300 mm internal diameter and 12 mm thickness is subjected to an internal pressure p, while the ends are subjected to an external pressure of 1/2 p. Determine the value of p at which elastic failure will occur according to (a) the maximum shear stress theory, and (b) the maximum shear strain energy theory, if the limit of proportionality of the material in simple tension is 270 MN/m?. What will be the volumetric strain at this pressure? E = 210 GN/m²; v = 0.3.

9.8 A thin cylinder of 300 mm internal diameter and 12 mm thickness is subjected to an internal pressure p, while the ends are subjected to an external pressure of 1/2 p. Determine the value of p at which elastic failure will occur according to (a) the maximum shear stress theory, and (b) the maximum shear strain energy theory, if the limit of proportionality of the material in simple tension is 270 MN/m?. What will be the volumetric strain at this pressure? E = 210 GN/m²; v = 0.3.

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 8.5.12P: Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in...

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