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160_Mechanics Homework Mechanics of Materials Solution

160_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: F—l O 2.127 The block shown is made of a magnesium alloy for which E = 6.5 X 10‘5 psi and v = 0.35. Knowing that 0,; = -20 ksi, determine (a) the magnitude of a for which the change in the height of the block will be zero, (b) the corresponding chaynge in the area of the face ABCD, (c) the corresponding change in the volume of the block. PROBLEM 2.127 SOLUTION x = (0.35 Y- 20 >403) '— ‘7’“!03’35; = -7 ksf -‘ :: 1.4533 we" G-5~x|05 E = $.05 VG ] _ —20>(to?‘ ~§o.35)$-7>rgo3) K E x‘ y " (3-5 “10‘ — 2.7 wo's “(HEAL-Awe,” LxLZCI+er+ez+ayea 80+ AD: LxLz AA= thtteflsz +2.,en = (4.0 3(I.o)(1.4532 «163- 2.7xlo'3 + 5m!) tam} = 4.9% “0‘3 in‘ = - 0.0::4‘78 :n‘ «a (C) 5:506 L7 I‘S Coqs‘l‘qut‘i’ M} = L,(AA i: (1.37§)(- «heavier-‘3 : 4.39404 .‘m’ = -—o.oox;35' :n“ 4 ...
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