The displacements in an elastic material are given by:M(1+ v)v.x를 +M(1– v²)M(1 – v2)xí--X1X2; U2;Uz = 0= 'nEI2EI2EIwhere M, I, and I are constant parameters and E and v are the elastic constant and Poisson's ratioin the case of isotropic elasticity. Determine the corresponding strain and stress fields and showthat this problem represents the pure bending of a rectangular beam in the x1x2 plane.

Three disqusional strain rel atmosphere∈xx=∂y∂x, Eyy=∂Y∂y, ∈22=∂ω∂z

Answered: The displacements in an elastic…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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The displacements in an elastic material are given by:
M(1+ v)v
.x를 +
M(1– v²)
M(1 – v2)
xí
-
-X1X2; U2
;Uz = 0
= 'n
EI
2EI
2EI
where M, I, and I are constant parameters and E and v are the elastic constant and Poisson's ratio
in the case of isotropic elasticity. Determine the corresponding strain and stress fields and show
that this problem represents the pure bending of a rectangular beam in the x1x2 plane.

Expert Solution

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$T h r e e d i s q u s i o n a l s t r a i n r e l a t m o s p h e r e \in_{x x} = \frac{\partial y}{\partial x}, E_{y y} = \frac{\partial Y}{\partial y}, \in_{22} = \frac{\partial ω}{\partial z}$

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