Consider a thick-walled cylinder with inner radius a and outer radius b under internal pressure Po. The material is elastic-perfectly-plastic, with yield stress yo. Assume the Tresca yield criterion holds. (a) What is the stress distribution in the initial elastic state and in the subsequent elastic- plastic state as the pressure is gradually raised? (b) What is the radius of the plastic zone as a function of the internal pressure? (c) What is the limiting pressure at which the entire cylinder is plastically deforming? (d) Simplify your result for a thin-walled tube.

Consider a thick-walled cylinder with inner radius a and outer radius b under internal pressure Po. The material is elastic-perfectly-plastic, with yield stress yo. Assume the Tresca yield criterion holds. (a) What is the stress distribution in the initial elastic state and in the subsequent elastic- plastic state as the pressure is gradually raised? (b) What is the radius of the plastic zone as a function of the internal pressure? (c) What is the limiting pressure at which the entire cylinder is plastically deforming? (d) Simplify your result for a thin-walled tube.

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 8.3.8P: A circular cylindrical steel tank (see figure) contains a volatile fuel under pressure, A strain...

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