A cylindrical bar, whose lateral surface is constrained so that there can be no lateral expansion, is then loaded with an axial compressive stress 01=-6. (a) Find o22 and o33 in terms of o and the Poisson's ratio v. (b) Show that the effective Young's modulus (Er)eff= o1/111 is given by: (EY)eff= E(1 - v)/(1 – v– 2v² ) where E and v are the elastic constant and Poisson's ratio in the case of isotropic elasticity.

A cylindrical bar, whose lateral surface is constrained so that there can be no lateral expansion, is then loaded with an axial compressive stress 01=-6. (a) Find o22 and o33 in terms of o and the Poisson's ratio v. (b) Show that the effective Young's modulus (Er)eff= o1/111 is given by: (EY)eff= E(1 - v)/(1 – v– 2v² ) where E and v are the elastic constant and Poisson's ratio in the case of isotropic elasticity.

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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