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114_Mechanics Homework Mechanics of Materials Solution

# 114_Mechanics Homework Mechanics of Materials Solution - |...

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Unformatted text preview: | 1 F"? J 2.69 A l-in. square is scribed on the side of a large steel pressure vessel. After pressurization the biaxia] stress condition at the square is as shown. Knowing that E = 29 X 10" psi and V= 0.30, determine the change in length of (a) side AB, (1)) side BC, (0) diagonal AC. PROBLEM 2.69 0'.” 7:- Gksi SOLUTION 03. = [.2 ksi l ' l L 5*: E(5*'”‘§)= macro" D C L‘ J = 3.51.72 3:10“ in. a on!— u- : l 1 8) 5qu ”6" 29x";- [I Mos -(O.3o )(s awn] [Qwo’—(a30)(12wo°)] = 32.76 >40“ (a) 3,3 =(ELE, = (I.OO)CS\$I.172*£O") = \$1.7 no" in. on sat We}?! -. (Loo)(82.7é>‘lo“) -- 22.2«ro";a, (a) (RE): JOEE): + (LEE)z =4L'A—B, + 5x32 +(ﬁ'Ea 4 51)?- = J (I + 352 >410")1+ (1+ 32.8 we"); = LHHSZ 37: 417:), 2 307x10" in. or use Caﬁadjds as 'FoUMs} B Labia siJes asina a.) is) magic. as .5116an lo C2. D a c Ola-lam JFWer-ewi‘ids ‘Fwom wide/L ole. = 5% ale. + «Eek 30+ O.=I.Oc>iv-J lo=l.ooin, C=E in. -' 66+ in2 2c 606 = Zach-I- ZLJC JR. = \$6.13 = 352-79ﬂ04 in bib ‘- Sac '-' 32.3)! )0“ in J 5&9 Ac = #33an xio“\+ iii? (32.8»: to” 1' .307 No“ in. ...
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