Answered: How can the Strain transformation…

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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How can the Strain transformation problems be solved using Mohr's circle?

Expert Solution

Step 1

Let $ε_{x}, ε_{y}$ be the normal strain acting on 2 mutually perpendicular planes in a 2D system.

Let $γ_{x y}$ be the shear strain acting on these planes.

So, while plotting Mohr's circle for the given strain system, we take normal strain ( $ε$ ) on horizontal axis and half of shear strain $(\frac{γ}{2})$ on vertical axis.

Similar procedure as stresses, is used to draw the mohr's circle for strains.

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