Quiz 12 solutions 042416 - k” MCEG 3013 m” 5’ Quiz 12...

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Unformatted text preview: _ k” MCEG 3013 m” 5’ Quiz 12 Coordinate Transforms For the unit cube shown, determine the magnitude of the shear stress Txy that will put the plane of the weld (which is at exactly 45 degrees relative to the x/y axis) into principle orientation about the Z axis. 20 pts. ffin (2(3)?) : z ay=100 mPa a; (tangy ).) - m =5 ”WEE/Mi; . 7:4”, /5 M on! Maw/ahmw/we f/A’ _ _ I5 thfil%/}\&/ . x722. What IS the magnitude and sign of the normal stress on the plane originally aligned normal to the x axis when the cube" IS in it's principle orientation? 20 pts. 5/144! {é cook 25 {hf/Ll /ji/wm W/%/ Z)“, / a'H’I/f )c/ Aid) :5 mac/c/ha/ {é (rm/2! I! ass/max {h fflhcf/[o‘é/ Juan-”JIM ‘ . Does a; have any effect on the maximum shear stress acting on this unit element? 10 pts /V& flat! M W/fl/d/flflrfrf 5'25”” 44*! h/rE-M/f ,m [puny/2% gig/nifi’fi’fl/ 171; 6/5,; gig-4‘" We” ”1"” C:\Data Files\Course DalaWICEG 3013\Spring 2016\Quiz 12 042216.0dt ll‘2 List the magnitude and Sign of the principle stresses for this system.20 pts What is the maximum shear stress acting on the unit cube in any possible orientation? For full credit, you must have correct Sign and orientation. 10 pts. /\-./ Sketch Mohr's circle for the cube in all 3 dimensions, identifying all of the applied stresses, and the maximum induced stresses. 10 pts. C:\Data Files\Coulse Data\MCEG 30l3\SpIing 2016\Quiz 12 042216.0dt 2/2 ...
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