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126_Mechanics Homework Mechanics of Materials Solution

126_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: *2.86 (a) For the axial loading shown, determine the change in height and the change ' PROBLEM 2.86 in volume of the brass cylinder shown. (15) Solve part a assuming that the loading is hydrostatic with q a cry: a: = ~ 70 MPa. r 85 mm SOLUTION gy=—58MPE ho: I35 mm ‘3 OJ35 1M E=105GPa " 3 0'33 E J: (as l‘= 5. 6745' «103 m” = 5.6795“: :63 m‘ ‘D; = A611,a '= 766.05»: 10“ mm" 76.5.06 no“ w.’ @z-saxro‘Pa, 6;: o J = -EL-(-1JS'K+G}—-y6;\= g1. E sane” .. ...;__ __ _ 4 - W $52.38*” hog, =- 035 mm)(- 552.38No“) I - 0.0746 Mm 1______.2v(6.‘+5. +6} -(1—2936} 2 (0.391653 “(3‘) E IDS“ X to“ ~ :37- SI H0 ‘ we : (754.062103 m? )C— ammo“) = 4433 m? (b) 6‘; = (3:1 = 6; = *70xl0‘POl ®+6"j+6’z=—ZIDXIOGPQ Ed: ‘g—(-VGJ,¢+63-v€'z)= "2V63 E 0.34 — " '-'-‘ W = -22_6.67>‘£0 m1 = h 5:7:- (tzsmmlC— 224.67210"3= — 01.0306 mi». 8 = _____|-23’ ($1 + 53+ 6;) = §__;_0-39) ..:uo>([o‘) 1-. -G80X(O_‘ E' 105*10” w = “Uge = (746.06xto3 m». )C- 430x10 ‘=) — 52.! M43 ‘6 ...
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