hw9-10sol - SoLu‘noNS 0.15 © 0.5M F0 100<—~ at...

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Unformatted text preview: * SoLu‘noNS 0.15... © 0.5M F0 100 <—~ at: 0.01“ A: q N 1 = O \D / Y:—\o\x\0"“/,.‘1 1 0* K E:\o\x\o“ N/M‘ v9 . _é— F3 2 W Lu M Wow 3A Y m M <———‘Ja \‘30 hk—kfi—‘fihjfi—ég '+ “50%” ‘- 32:: fire) wam , @0419”; mm BC, : a v; WW“ .~»[:J<—— CJMP-L‘QMU‘W: 59A * SLO + SEC, :35 YgLn RY3+V5M<NWLM E, \LBL =d + M— AASEHJ . AM} EM A-ec‘iec wme ; 5‘;\1:¢ ; E, + View * \1 = 100w F0 ’- EOW ' F5 sokgflofi, 4L3 vJAuQuM, “A: {L Whmtw‘i Let/13"“ an» + Ugusom) Lu. - (sow Nun,“ . Mm W Aw“ “’5 LAD + + L3,; : SOWLEC WOW LHA a Mm AME“, Mom, mug " Ami“. OIL)“ * 01.15% + 0.5M " “ F9 T.r£°-°1SKYL (WVNQW “AL «(0-0 \ ~31 (100 ‘40“) Wat) : Smoo u LOASA REGAN)» (DEA .M _ PM . v (“1541 WWW A1 WKD-OMV' {200* us“) "43 F3: -\O_[\(éq0 N “2v VT aw 0W4;c 33‘".on ' E; = mlm w - Jaw d R: Saw — Ham m3: mm LN +- WW;qu 4 flat banal) WON 2 VM) '3 \OWLQq kaVLxsinm \O-L‘lfl \«N v ' =v .———~—-—-——-——~ : 4 0\ O \Lva 7‘ r9,” A3 1 LoiolsMYL S \ U ——_:____*—a— an? I) Mean NV): YAb ‘- $y +\‘50LN " Lfm—(‘Q‘qi‘I-N + {SOL—N) = LN 3&4st 5' : -. 0’50 h/Ea" MP; W {h5g5 Mb “KO-o‘wqi \ m Kigwu ', FEE, = \CN (fiwt‘bkfi;ofl. q. .. W1 = %o\mo k0 = C60.": W’a wwm‘m 3% ‘a w 0.5 *mmmm (“fij 10g m Km. Ml, \SOW gm flwsmxj‘m am a, a m“ u\ (p, All,“ VOA-Mm “33‘” -Qoom Lat > + (\SO‘sLNL‘gc, + \SOkNLm) F Lu, + L“, L; )igg AWE“, Am. EAL A415 Ems + D Amigo AMEAJ A»; EM. — ' ‘ ‘ - ' ' - W + - r9 1r(0.02.5.«Vhomo‘fiw + flow“? Lloo>\o“)”Az vL0-015u\‘(\°‘*‘\°‘)"~9 . 015A Q00 ' 0151:) : \SOkN “‘EO‘W‘JMV Caih'mq) 1 * 1‘ £0.0‘A1(1031'\Oaw);t -' “(0,025.3 \0\~L\Q‘) FL: Y3 = W ——3 \\ K L304”. w“ 61. x)va @an mum: MKWS ) 1 T©53w F F .—> Ms «m <—— gw. Tc— WC» mm W ‘ 0-3» _’l,,,\ 1 V 0 0.1M AS: 100M A“: 450m1 Ac: 5\‘5~w\1 ES: 1006439» EbZloo (“04 E”: \u 61)“ oL$= \hlow/‘C/ a»: llvtlo'h/oo «0‘- \"lm xo'L/oo EVE): rwax ‘er . .. l SDWW’NI w ’5 Wig/RNA wn’j' “N (COIN/d" t LKJ‘I’JLMA‘M 1:- (Wu/ij \ml ‘Hu, (Jgf;i§ufi§ f AL qux wk. W W» Mfg Wm is 3:95 glen!» (mi svmm7\ \‘Wv o‘rwAF, mvng,» W“ W" n AT: TF1 —— ’LVL —\7/°g : ova Wm“; CW 1“ w WV; :3 v ‘ tank” “L37 CW iv. UAAK (23 2 Wm - 1% 40% um ~ 2%.") + MW: \ H0753 QOOOZM‘KMONOWVMQ 95‘ QMVk/“(A (of C} (0.3 A - x: £01.“) @ooo‘ifimfimomb W/Kz) PLUM} Lo.O°°5\5ML(\W\o‘ WM #- K’kaWB/m) (CV q L01“) ’_ + MAO'V‘QL‘VQ @Jq — FQMOOOOI‘S + 0.00000; + O,ooooou.,\<g) n/W = 03000355 M $219.30 \«N 4—75. The 40—ft-long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap 8 so that the rails just touch one another when the temperature is increased from T1 = —20°F to T2 = 90°F. Using this gap, what would be the axial force in the rails if the temperature were to rise to ' T3 = 110°F? The cross-sectional area of each rail is 5.10 i112. Thermal Expansion: Note that since adjacent rails expand, each rail will be 6 required to expand E on each end, or 6 for the entile rail. 5 = aATL = 6.60(10‘6)[90 — (—20)](40)(12) - = 0.34848 in. = 0.348 in. Ans. Compatibility: (is) 0.34848 = 5T — 5F F(40)(12) 0.34848 = 6.60(10'6)[110 — (—20)](40)(12) — W F = 19.5 kip Ans. — — — _ _ — — *"v""_- . a .. -... "“ . e- wt- [I .7...‘ 43 w &“5fi%“mm"3 A 0 B Fir 5}“ (gm $3“ FE GN‘N ; '7 (a A'LWJ.N\)M JL=%5»« ‘6” Ty: W00 F TL: -\0°F Ex = \o‘kooo \ugl om: nmm-‘e/OF FWQ; Vk “4L V5 Soumom; T 2T1 .T‘ : Luv}: -100; .» ,ngoF V0741 WWW: Y} \01. “fine ‘MDQ‘WM rug-f“: K‘ - V x A (MC 0 Wk “~0va "‘ ‘5‘” L“ 43%:13 1 (0‘ “5L U; 31": a)» %L0 lo I + (an-w + I > H JAM Mom M MM, (Lug. a:¥::22 44 AT: ~‘60’F‘ ' + + F a Q”! Jim/«AL Ln (be, / ___..._““".:11-=-—-‘> L YB ' AIL. I M (b : “HERBS” *(llfisxw'b/‘F‘Kflmmtfl + ENG v0) 15$ UW‘J‘UA‘) «go .15 :31 UWDM ' (p : 0.0000“ 431'» - Domain ~"~ (QOMMM‘VQFG E: 9.11.9 L Hth EQme/UUM 3,5331%: amp $543415 Gm m .3? 4», inner?) E:1.\'L‘3\L+O.0t\o\g QW; ‘6»ka U :3 ( ‘Wk ‘MHPQV W3 ____._. W“ \‘W‘ «(9.15? ,1: L” “55500 4} “album. 4AM k C ‘3 GWEN: lbW— \(o A-‘quNVM F; “A 559 (an F15 \ E a a (1.: K15 V 1 ,va \f— leOuF TL: “\OoF Ea“ \o\\,,o—o V4 “A: \lfgqow/o? WW: \R wk E m U5 “,WL; A} (1:31“: Paw: C/ (,lp‘u‘ ‘31:; POLL)? Q}, m weak Mme {2,2111de C“. _ \ \lm \JWU’ ()0 MUTE. Fem/Ra "w. ey._n_1,‘.%’ \M A L g : Q! I \ (yMA-MMULW . ( x Q q B ‘ ° Six/r3 ; LEG/ABM + >5 (—an + “gt/6 PM“ ‘1” (EL/5Tb”. Q5 = 4 «LAflLQy +Qvfit° +o< Mum» ERA/Ml vet/Leg A5; + V156 W73? {:W F :10?) U3 :3 ‘V YT) {C6 ‘1 b ,1?) :J \1 Omahka (0-001“°’13‘“/m1 + kmoom-fl‘xlm = Suw‘noo): + :4 my (ha/Lac + v {0.1% N WWW 3 Jr 0. omfizi‘m fiflfiuzfib: O.0\b\k+¥5 bx:sz V“ Yam 0.0M imxubwm 1 (geouoi'bh/QXBwmum +@.co'7;cr4’a‘1“ffl‘? 2 0am“??? R5 Kopole'ucm “M 2 0.06114 M 1mm UM») f _. WM 63"“ ‘ “(Va .1833" CM“. 2 \omuf’) 4 by = U5 VA @ 44L“. inf)“ QNWMLLG‘Y taxi) ...
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This note was uploaded on 02/09/2011 for the course CIVIL ENGI 215 taught by Professor Dr.pollock during the Fall '10 term at Washington State University .

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hw9-10sol - SoLu‘noNS 0.15 © 0.5M F0 100<—~ at...

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