A rectangular element as shown in the figure is used to represent a purebending problem. Due to the bending moment M, the element is deformed asshown in the figure with displacement {d} = {u1, v1, U2, V2, U3, V3, U4, V4} = {−1, 0,1, 0, -1, 0, 1, 037.(a) Derive expressions of strain component Exx, Ɛyy, and xy, as functions of xand y based on the shape functions.(b) Does the element satisfy pure bending condition? Explain your answer.yM| AUAИз4 (0,2)3 (3,2)1 (0,0)2 (3,0)xB12UI

Answered: Image /qna-images/answer/467d534e-54d4-449f-bc77-2f1dcb12b6a2.jpg

Answered: A rectangular element as shown in the…

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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Q#7: The strains measured with a 60⁰ strain rosette are ϵa = R/3 x 10^-6 , ϵb= - R/2 x 10^-6 , and ϵc = R/8 x 10^-6 . Using E = 200 GPa and µ = 0.3, find the principal stresses and their directions. Show the results on a sketch of a properly oriented element. Use R=980 Note : For Clearance of Question Please Refer to Attached Picture.

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