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hw22-10sol - ”W ‘11 3939““ Superposition i Normal...

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Unformatted text preview: ”W ‘11.} 3939““? Superposition i _ Normal Stress II The figure below shows four beams with the internal loadings of normal force and bending moment shown. The cross section is shown with a point where the normal stress should be calculated. Rank these situations, from greatest to least, on the basis of the normal stress at the point for» each beam. ' A}. L2; (\JA t: \ («a T = \L “I"? z 3-- m4 ' ‘1" ”" ‘1 ll +1 A 240113.411. . l B O 240 lb.—in. \ 51b. ' .. ., 51b. Greatest 1 <0 2 ’6 3 C “4 A Least Or, the normal stress is the same for every beam. Please carefully explain your reasoning. .—? ML , 'SUB likQ-imQOfiiw} _ _ - 440 S; ‘1 “‘445 39‘ A) I Hf - E1 — Maya)...“ _ Spy! \ (y . p I EN 7:; " Mic ’* ' ’= ’5r€~“'“‘4°é9; ”‘35?" 9‘ 1% + Mg ': i. . -__ 5P; + ”40‘s?“ : .WqC/‘iisl How sure are you of your ranking? (Circle one) Basically Guess'ed . sum . ' - Very Sure. 1 . . 2 3 4 '5 ‘ 6 7‘ 8 ~ 9 , 10 35500 ' ' ”Pam $35 (WA) “Wow m; 3.550145 T .\ q T 4” v A’T CUT : 33°°ub +T$F1:d;.2300¢&100w-v:¢ V:1(000U5 +5§thr2¢s M +1“)st U.W\ -3’600 uyL4w\‘-¢ M = \\\<600 um-r _ '_ , - 2 1H Mum ’ 4M (0.5 m1} - 5 _ 1] 052m (tom) 3 K I \N =3 + -V\ .5.“ ,15M — .A. l \’L Ar (0 M3 \ (l) + \2 —. at? M" c’flP 1 Chuck : ‘5‘51‘ .. - Me , Mucombefl r . VOW/1" A 07,* EMA” W =Ci(074f<fl (“Mva‘WA\ @ - ' V L' 4 . A“ z ¢ saw» Qk‘d @765 9"" \A Illrlmlm “NYE: YB: MM UMJ-nw NA” ‘ Q2 : w (AQUSQ + 315;“ (4;)(01553: $33M} TE) 7— 0‘5 (M .14 ‘34 6'6 3 My“ = \WMJQOOLs‘ L X = 9.15?” 9mm) 1”. ‘5 \3 {u‘ M ® T __ VQs : ’lLOOuygcéFJM-q =<Uo\ S.“ 7‘, EMA-+0 EL?!) Mac k0~5§d ——————e—-— . .1 . _ l ____________T V \ W LVWJY v: 11.0 UzJ/YHZ (wit ((5 ' (a4 (To/16111) W : U000 L6 Y—ZK '; Y) A- - \1Ow/F11(\IJJ’TY(0 WY =1<61040u1 +1gFit¢i NE W 1 Ham-NJ} LuerfiimY . u1fiflv¢=Tx=fififi13=1cmxa1aY=Su14011: 4/ 11:” “*2"wa V1: Y’k : 154M 7: ”a N Y \Y . “A , I +1611 15 My : WK”: );\(ooom(wY: 611,00 w: ‘76:, x 4&/ Y; :tp'. V%25}5 +1111; MgiYACBFT (”QTY $14011£QwY= E14011 :: ’2 \1, fig -. “5;“ rm, “1:15;: OmJYw' AWL; maria’wY * A: 111,1, :r‘LY : 1: L3 Y — A115 Y: W15“ 1 : 4W 1, 1-K; = g: L21: 1 11er = gnaw: $1.1m: 31571:: .14 ~ 3: 2 % (rm-1: ~ VM‘fY : T1111 : \\vc\043w MAY : 37171q<641m+ Q (5332) U; :13 Y : ‘LYW :MT : \‘ém'b- \111451’1 7* 4\ZEAV:V\3 YOWT C, “Wilt slei-J :3; “11:11:, ovx 1)quch 2 was] "‘ NX MY Y1 ‘ \(loOU \fi (1' n'Y‘J U: F: ‘1‘}. /¥+Y L1 75* a r' 3’ W 3 J A; W [hwy 1. C: 1 1 ,1 61 A + I, 4.5%”? \3 15131 n" \ 1’ D (18A Y1e:w/=fiw-AY fV .. \I‘j QNI- Tx Q - Cblfi‘giib L!) (4.\6g4;w5\) TD\‘(6(5(0 WLYT(\’L;V‘/{%F}(Q~15IV) \c‘ _ ~ 1 , mm~m ... -- W \,, 11+“ 31 w. W1 1“ ((315: +0151} 1 _ —_A(\\C\l)_0 A4; K0 4*“:«1 c:. M; of &fc‘);' ; V1) JWW 11:19 :4m1w __J________JM1 __ Qua» {(1455 (Am) QOHJT D Lod‘W’zLL W‘gflw g AWL» 'l e»A WSW. Trams) ' _ J 1 ‘ \l'“/ 3M ‘ o“ = $1} + Mac, : WW + M = 0m 450?“ (+qu v A Ii 45% at \‘LWK’L «4 _.___.._————' 1V 1 11,9 ._ SI,‘643w*V*‘£,\_§:~/f+mjrl 1 4% («00 In; {M44 whim £1.) 9 3* 37 mm a" ‘ W‘ ‘\ ”WTEI—Lla = 4M0 \u; WW3 i g d fl :I ’13: 4115“) W l od‘KfJ‘Jv {Mir lé__ A Mfg Jury = M .45 ‘44.»: pmaw (€~Ls4 (“3&qu ’i’oufl’ ‘71 Loxfiv‘lk’. “Am & ‘\~u\1¢ 1 m AngleLQ, \I'UJ‘SW ~N"; IMFCY — ~1Q00m -' Wing—~39} :V \00 U90 w' (on ’WMngC-‘i _. 7 _ I 1.14 . :1 6—2 a E It 45:1,,le \‘Lgmltw" P —, 19 .. W mowers; (aux; :mxm)“; Hg) ‘3. TX ’51. 53354 M4 ‘ w) ' u a 46m lee; ’ ' ”W‘L ”(W 'PMNTY’ Kufi‘r‘sa Am 0&‘\v\u‘\ M mervz >L—mJS} ._ .3): _ M (Li mom _ Oxboow‘FwU’LM/fiXBTA - C 6. = .. —————-—-—-—-—‘ v [C(44) $4 )7 Von v A 1, we wwma ”fist—“w 4V; 2 V1! QMA. + Tic, : waowUHESArmfl + SLMOULFTQ'liu/MBQ I; “A. 31 “Macaw (015‘;+0.2ng4‘) ‘ «51 3:13 4 ‘1} 5 63310115; 536“] Ml“. :94};ng é V7) ‘3me __ 53.11%; ’90qu F T’Mxm (a ~m hm“) 1’ = (now +/ 3?; =36: V; = VMO' —. how (my) Jaw: vY : T’mw = mm (mm ¢ $3qu; M1: karma = mommy) MW +71 ihflé: My: Ym‘bo' (m mow.m Lw. 30') “W” M) Y \Ouua - _ \0MKL\<(0M\3 ‘Sokh(\ow\3 4 ‘ Evil T 14(sz 01.1109qu ____} L: 1L \W + \¥°M(\OKM)LF60MM\1] w”, 3 , + \M\ : 1:53‘61‘500 MM4 m;::’;:qub \1 41 I M‘: \O’m \ _ \O'MM \ .— I\/\% (CY + M1 Caz. tam/rm». M .thm I E :Y 07.“ W + WN-MW‘MxooovaX‘fl) 155‘3‘2‘500 ““4 °\"llo\oou um“ Um:- Mm “/w + ‘33 N“; w ma «* w 4w W & MAJ.“ QWMVCN a} VWJ W 0W 4’ wfihumm 35500 ° ...
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