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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A thick-walled cylindrical pressure vessel having centroidal radius r and variable wall thickness t is subjected to an internal pressure P_iand a torque T. The variation of thickness t is given as t = t_o*( 1 + sin(θ/2) ). The cross section of the pressure vessel is shown below.

a) Determine the von Mises stress in terms of the given variables.

b) In addition to P_i and T, apply a uniform external pressure P_o. Determine the von Mises stress in terms of the given variables.

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