Fall 06 Quiz 2

Fall 06 Quiz 2 - COE 3001F, Fall 2007, Quiz#2 q = 801b/ft...

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Unformatted text preview: COE 3001F, Fall 2007, Quiz#2 q = 801b/ft Figure — 1 Problem- 1 (60 points) The beam is subjected to a uniform distributed load as shown. Calculate the maximum compression and tension bending-stresses in the beam’s cross—section shown in Fig- ure-2. 0.5 All dimensions are in inches H 2.5 $7 50 0.5 Figure—2 WVXW [1.15 m COE 3001F, Fall 2007, Quiz#2 E = 30,000 ksi v = 0.3 Problem—2 (40 points) A steel block is subject to O'XX = 40 ksi and (SW = 20 ksi. Determine the stress in the z—direction ( Ozz ) knowing the change in length for the line ED is -4.8 X 10 _ 3 in? What is the change of volume of the block? 4%” Women/,1 1H :~ PM Egg,» v i . ‘ fi‘QMIDR 6» . Em t ! ~+~ #4 P254 HM WM (,0 - l? ‘ M" v 7v“ 5 7 * f.) ' H ' ‘ P SW” ’4' 4"th MMLM) (WES 3323 m M WMS CVBSS MW“ V N” M” 0’ , I; to 5‘ W” I RA {28 ZFWW => RA r28=q>(20¥l@) ~ 9,4 MB —' (SOE‘fXZoF M *2‘I‘QOH/J «9,, '2“ "’3’ pflzfzg:%OUo’I\\/ f) LIL-1.72514“ “fin/LOW) “it 2&9? ’23 JQ Mm) -—-; Z I I M DJ]; $-l / law »3woow«-fi+ r2 \ ‘t *5? W 1,0; 4.--?) <- ‘ M 4159mm- ~ 4000 mp4 (WWWW M: “3(000Lb«P+ x 761‘ \/L:A| *‘faAz AU“ :42 , i \/ “‘25) «A0 ‘ 15”... M” t 3 f Lab,” : (12293.2 .OZLp ' I: I2, ,a b 3 3 ’2 1:1 Tb}: 1 V5: -" __ 11 " Tl :IW‘AAI’L: -02L€1“(l~75:}(~75>4‘ : inc! / I f ‘ / _ L erzdé‘ 7 mar PU mums)? “>54 / E: 30,wuysf X: .3 0' 3 . 2;,“ 3 iglfii @) 07;? S 7 AQTQQ? ‘rf 1" ‘ kg! ‘ __ 1 W3“ s, ‘ AED 4-4.125X10‘5mfl 4.8m) [In ’(3lh>€9 3% ‘ 7,00“! ~ v iv Q}; fwd?) , 6’2. ’ ‘ . «00! v-—---- .-.(_3;}L . ' u “9 somoors‘» awasng Wm“ flaw) ~ 001m ' "t 30,000K: $90M” <00! ———) D/Q 3 "30!»49 (9 CWUW iv) Mum 0% m L7qu .- -’LV : , _ ~ ‘ AV ‘VO 0 E +03 511/2) \jo 71‘ (4I‘h)(‘31m)('26fl) $141“; A : ' ~ , ‘ - . v 24:14? (%i2m) (Mg, mm. ream) A u :(141n963‘gziog1éq) (30 W0 @7er [cancer COE 3001F: Mechanics of Deformable Bodies, Fall 2006 Quiz #2, 11/14/2006 5 - Problem-1 (50%) . 5‘ Find the bending stress and strain distributions through the critical cross—section of the composite beam shown below. E1 = 30000 ksi = 1000 ksi 'E3 = 4000 ksi ‘1’ ~,_ ; " ~ » fir \ . 5 (105‘:)%W$\_§i 10\Y‘v'Cgungfi‘O-a'g‘fw u 3’\\/ ' "7": 7‘ “I H ,r~ g g ‘*_¢/ r .l ‘.\A gnu t.‘ .h’fagf, E ('9); 00° {44% 3(Loiw' 0- “3&3? Hféwu Mfz‘floiwlam) + (UWL5‘-;wi;:fl§ ,/ 273394 53-920“! M— 60000 1: \uouovk {9:30"30 36 H :3 vl '5, o sm‘fl Prawn“ egapg: €559 . :r‘ Ma“ Q f ’3‘,b§;n_ §,i‘3h\§1 '20 1 (000-37 ’m 9 k ’ K ‘fl \ WW, \ =‘”’* ( “mm m-sw » JW T ~ ’ 5 “‘5 511K 9 ‘\’ \ ’3 1}, \ § ‘ .6 - In“ -—"“ ' ~" 5 Hub 5; Eyz-‘Qififig'3ihfis: )CCUUo‘iV‘M-j » I {flame $93335 gains ;¢»""-J z,» iii-’Jfiuv‘éwjl (.2339 z,» .1 f r ; J. r ‘x I w ‘ 7 ‘ 7 ‘11 9 W m7: ‘9' “WWW - " 2.3m x (a :s amm W " . , a 3 " I S. " l 7 ’Hh’s u o I,“ /» r; , r [133} MW, MMAX T7000 \/ __ e: ( ) > a f .5" f; i” ,5 A , . ’ 3 RA. :' ‘9 g.‘ _ :5 "r‘ \3.732fl{ wflagm : g, t ’( 333.0%“; é ...
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Fall 06 Quiz 2 - COE 3001F, Fall 2007, Quiz#2 q = 801b/ft...

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