A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has the following components: ex = 150µ, ey = 200µ, yxy = -700µ. By using the strain transformation equations, determine:- (i) The equivalent in-plane strains on an element oriented at an angle 0 = 60° counterclockwise from the original position. (ii) Sketch the deformed element within the x' – y' plane due to these strains.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.9P: An clement of material subjected to plane strain (see figure) has strains of x=280106 , y=420106 ,...
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Figure Q1
Transcribed Image Text:Figure Q1
(b)
A differential element on the bracket as shown in Figure Q1 is subjected to plane
strain that has the following components: ex = 150µ, ey = 200µ, yxy = -700µ.
By using the strain transformation equations, determine:-
(i)
The equivalent in-plane strains on an element oriented at an angle 0 = 60°
counterclockwise from the original position.
(ii)
Sketch the deformed element within the x' – y' plane due to these strains.
Transcribed Image Text:(b) A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has the following components: ex = 150µ, ey = 200µ, yxy = -700µ. By using the strain transformation equations, determine:- (i) The equivalent in-plane strains on an element oriented at an angle 0 = 60° counterclockwise from the original position. (ii) Sketch the deformed element within the x' – y' plane due to these strains.
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