06-Mohr-Inclass-Example

# 06-Mohr-Inclass-Example - x 1 1111213 The following stress...

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Unformatted text preview: x 1 1111213 The following stress state has been determined to be the "worst" in a? structural member. What are the principal stresses, the maximum shear stress, and the planes upon which they act? 0 0 ' O 150 —65 0 (oij)=[—65 —80 OJMPa SQLLZEIQH The Mohr‘s circle construction is as appears below. state of stress, tut-plane state of stress, y-plane I cc“, Solving for the center and the radius of the circle, one ﬁnds: “awn 150+ (—30) C=——'2'—'=-—-—2“—--*=35MPa 2 “xx-Orr) 2 ISO—(~80) 2 2 R'xi( 2 +(Txr) = [ 2 ]+('65) R=132MPa F1 I" 1 F1 F1 ,1 F. EMF—E {WE a = '1 he pnncipal messes are computes as: 01=C+R=167MPa OH=C-R=‘97Wa The maximum shear and angle orientation are: 1m=R=132MPa [Txyl I n. nﬁ t" u} D I m“? [on—ow =Tf§='565 A 1? 4‘ 2 01‘ ...
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