chapter2 - (D So\u’cion3 10 (WNW 2.H\N Raglan“...

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Unformatted text preview: (D So\u’cion3 10 (WNW 2.H\N Raglan“ So‘uHon OF pmb‘em '28 Let Sofiblgc be {he deflecHons o4 511T?“ng O.b.c YESpeCHUeJlj- geomel'rl‘c Compwl'bfl|.tv :' 0A : 03 : 1m_ ' ~ 80 7 $13 -= 5c . L7) Posh-E; d‘lirzvma‘o‘w‘ velaxHawO . 1 F0 : "OSQ — n) ' F _ b ' kbh _.I'i't) FL ~ Kc Sc __ TV) 14th ka:}<b: M 16mm. . J KC :~ KN/Mrv‘ Equfh'b‘n'um of disk: FOF disk '60 b? ham] Ewe} ‘ZMO : " ‘ K T? -"—‘-> 8 xpc — Fa a Sm'so A [:b xsinso : o ._ 3,)- Z F : I l ‘- :i-Ixm3 ~— ‘01) SoM‘nc‘ (lbw/e eqns ‘ F0 “'1 2 O-Bs ICN = on m. E C Soluh'On to. pwoblem Q1 Ow A mihoud bridge; Loads am due k0 ska/Homo“) 1min. elemen’t muIafuJ : skeet T0 Fl'nd: Hor‘uzon’rad dispbwmeni OF R. “we HM} Howizon’mJ dfi'spldremeth 0+ 9 E‘ SDE+SEF+SFR_ {,0le met] : 3QS‘O me. To fimd reach'ons t Irmzo‘ 3> D7110. 18'0on +270; m.“ + 360 9r m2 - Rx, xDrl =0, We “1-6 + r270 x91; + 360x 13.8 M I38 ? 600 kH. fl Zfij to '3’ 0k} 541 ~ (270— 180~ 270F360 :0. : 4-1480 kN' 09 J0) Endpédwfiwmd direLHon, ESHmaHOn M $0M; in members 0131(3); mt SQCHOD i: +¢ ET . :0 ‘ '5 C 270 R0 ‘1 i‘ FCDS‘“60 970+H90 0. 6°" FD " l:ch : ~2L.2.qg w, E ZR“ :0 :3 FDE r-Vco (0560 oqtueom. 91(quon : ['21. 22. mg, (pflobiem 2“? WM) S‘ech'on Q -_ +D§ M3 :0 :fi) 5.ng xq.65in50 - 270 V 6a” IQOKQ'3 +490K6 2 v8 jVEFE @454 KM. Sechm 5 H‘Zfilm 3) RA ‘ 1360 PM Smeo ——360 +600 :0. so . . Fm T -. Rue: ~277.r3 m. R1:6oo L» E rm :0 :> — Fm (0360 — Fm :o. ‘- Fm : 59.6 m. Horizonhfl displmemenY O“! R: 3*- SDE+ SEF +59? L ",3; (For: Jr Re; + rm) __ 1"6 2511.3 —'_'—~"“—\-_‘ IQI- er 32foxlo‘6xqooxmg ( 3 295:5- H559 6);!105 ‘ 34;: " Ji—hs “0‘3”: 343 1 Wmm, _ Sohkitm E0 Qwoblem 9.10 M Point {2 R +4729 ‘ w Res: 11» A + ‘1 -—3 EH“ =0 ‘ I: J W T :. +Freq + Egg com: :o —i) 'n — . .. c 2 “MW +12 R1 :0 :5 [:Rs SUN-15‘ -W :0, '1') T Tamma- equwmng i) [y In) g‘wes. Fm Point S: iaEFm '50 5‘3} VTs 'FRS Cosfigzo QFrgHA Fqs . _ FR .. ,. ' : _ IL/L‘SDS +1§V7_0 => F593 FRSS‘WS O =3 F‘Q53klgj. as “ Fer pair)? (3; Pp M 39:0 :2 Fm SmM‘a Fm :0 ImTo rind vechuJ dE’H-Ech'on 0% J1)th IQ: deflech'on {n p9 8901 : 2H 1- ekoflflafion. A E A E H Pmme Q 40 {centdj 8c;sz ,_ QQQ : Fhfi.i : E£g (9kmfiahmfl 95 ’q‘: 5% : W351! 2w I . AE ” AE ( (omprgmarfl deHecHon of R = nofe Hm) QHQLP of (hanged pos‘ih‘on 0F 3 uw'll be (*0 change anglg me M0 Po (MHQY. PIS clé’HeLHons' are small we Veere negleck change in angle £9. Evg 3 EUQ+ S. : Spq+JESTQ + (SQR+];S‘RS) -_ 2m 2w , AE By T Jr + (5" : 3+ E (403) AE. jihad an‘gJGHOn: Vefin‘dé: dEp*-defleth'on 0% Joint ( (Ompm’m‘OnJ' P TQ'S'R’, Pa'ev crqsssech'on : o-3xo~3 :3 A: qxrodmfi, (YOSS secHOn: 2579! H5 5 6-23 “0'11 me Comment? omo Ac: ArASXS’ — (SD-Sato’ll fCOnCrefe E E: : rr 0%. stet 5 F5.— Qooapq, To find: I') Shesseg m “981 and concrete “3 DPNE’Cfion Equilibrium o; waif] plale: F : 670 M1 +5 g F730 =3 F3 F21:5 Vane deFO'fmcLHOn relah'onship: (CS 2 as L AS ES ____ Sc F PCL ACEC Compafibi H17 SS ': SC I S #301, ————~ 7mm equah'ons h , TI) and (1}) 8X A5E55+ ALECS 2F. L L Q~H (PM P-L S: % 8A5Eg+ncEC' mo x103 xM w w Ms x:o'“x 9x10" + ?-SXIO"QKI'7XIO’° : 3.93mo'“m. Shes: in concrete : O’c 7- EC .51 I L : Mxmmx 3.23%)"1 I"). ._ ' 4. 66 xi06 me‘. Shes: 'M +91 _ 89 bar_ [SSEQLL‘ B-QQXID”" m “— 51.933 x105 Mimi. : 2 mo” x L EWZO c; 433 Sa'ne +65%“) 50‘ '3’? F3 : F9 +¢§Fj20 => __F+Fl ygwse+ FgfoSQ :0» p! 1L «2F2(089 : F", GEOmeMQ Compaflbih'fj: 101 small deHetHOn 9 uni” main mppmm C0ns¥ant‘ 5gb *: gA (039' 1295289). : L” --—UD AD E E A ' . 8L .. F (n Qu)??F2 : T-W Qwse (Aucos’o + ) 1: F1 2 [1+ ’2 BA: (0339) SOIUHOH to Emblem 2.1L. ‘0 when S<o-ogmm. The equflibrium thy Ear—0 =3 l- w —- - Fbv 10m? deFormdfon relah'on‘. p PM P 5hr : 7:135— F9) ‘J £51 7- 6QS“mm '37 Ebv 46X Compcd—ibih‘w : 3:3191 ——3) E’QUCUHODS 0,9),3) giva relah'on fior PPS curve cw P 5 Ft” : Abf Ebr 1 A61 Eb'r 1n Lhr ' K4) (Ptobwm Q-Ib. LonfclJ 10W? deformafion ; Sb! ,_ Piaf Lb? -’ FAA LAL Ab1 r SEA : _‘——-‘ - H (I) E b" “M EAl Compajribi My (ondi’o'on ,- gbr : Sm +£49erY : S ______H ,1 (G) PrS Cuyuf‘j Telflh'on: :Trrom QQUCLHO” T) P: F131 1" FA} : Abr Ebr A E ,4 $5. + ig— 8“ Lin LN 7‘ X $80xlo'3 . ~3 u [Cb _ AM Ebr F fidby Eb, Eb, F X6257“) xtO Y ' Lbf F L — 2Y0 Mod 1 Il-7S’xl08 Him. k - PM E“ 71d“ b“ EM ._ 71 K 25’“ V'O'SX G-lsxro“3xo.7 XI: 1:»; - : --—————— _ __________________ L“ L ’ZS'O KIO'3 : (6.75.“ xro’? Nlm, P.4ka “Us — km)! Smog H 2993x1035 —|03.‘36 x.‘08_ \ P a} S: o‘ogn—g p 7' (ZS-Y3KF08)‘ 046 -- log-asnorjxfo‘3 *: 0J6 Mm '— 2‘18-52 m. (Pmblem 2414 Conl-d-) PO} A": g 10’s plot. P S H-78Xl08 x 3’ xm‘f flq-Qrmo3 M, Solukbn £0 prob‘Em (245 ldecdiscdrion.‘ H Ritl‘ud spreader Yigicul} alfached [*0 w 3‘“ Cables pass oven spreader ends uJEonua Hidden- “‘5 dedc i3 figid. M Length of kumbuClLleS GI'E negh’gfib‘ flee mequ 0? defamation: w L3 : N54 3(- Sc : shovteh'mfl OF uppm pmHon 0? mos?- Y1 = Skorkeninq 01‘ Lowe: pOYHOD DP mask. 85 : Shovhninq 0F (abies. ,undameed Shfe .‘ L3 : “(1+8 + L3L _' i) 091*)?de .' ['3‘33 :1{(L‘,S‘V-+8 + LZ—Sg -— bar 8% S SS: __ 881'! I UJKEW $2,": decyease fn OF fables due k0 Hcdhl’emnfl 0’ {turnbuckle—3. 8; : I'nmrease in Jenan 0% Cables due tO @"Smn' thee bOdlj diagram" Equilibfium1 F‘ ‘ .- 2T 2T 1% is GSSumed Hnwf H‘é ropes ?—T 9 9,? 9‘ run over Hich‘onfess fiufdes and F. 9: m- 0‘9 weiqhHPsS, We tension in each mp9 is uniFovm, :T 50$ Since cleFledl'ons one emppded [‘0 L be small . ’the Change» in VCWI'OUM 47L (males to be small and, we F1 — [Al (Problem Q-lé Comm-)- (135qu Hwem to be zem. in M9 @qufh’bxfuwa eqluaJdon: Equilibn’um 0P uppor man}: .[q‘éfijzo C; E427c’039-27cme:o. T7. : ATtose. ~— “U bower maoft“. +¢§Rjzo q (TLOSQ PM FF; H1 :0 1 - iv’) ‘ 7f‘lom equahons T1?) and iv) , F . T— 9/4 , Fszgcose. émpandmj equah'oh if) um'na (were; Hm"; For E<<f grll I '24, '2 .— L F * L‘ 8 JLFHSQ + 2 S: _ L3 83 Using '1) we can umEe above QQLICLHOD OJ _ SIL‘ F (S (5 “mi 2 5 #1) “0338‘, : (EL-53 '—- 401 33 == 53’: demoaoe ,Lm lengfiw due (to Pumbucld: ,— 2 X no- of tum: x pf’tck- ho’re , . . m ‘thtjil Foch» 2 .w uppeannj beCau/M) die {mo wires P S‘m qnf’owfl‘j pulled Hnmuflh Fumbu ckle, Ms“ M R a“). S ' 1 F 3 : 2xi$>< Eo—xq‘i ~ 0473‘”- Sgn : K: “Spyinq cons‘rank OF rope (lengfh L}, .. k' (Probem '2- lé confli) ___.._.__—————— '1 k” gpn'nq Long’raM 0} 1?; mp9. 2 Hmooo Abun : \Qxlh0000(b/p¢.$\.M' t. lzx Ihoow lb. £3”: TLg 1; K! 4"me eqh (.5: JQOQ-hg'i +9“) -: @1-5A’ , F x 6l- 5'14 «93' L w—E—n T QJS‘E xro’flrz M. L1 x19)! thoooo " 83: 0498‘- <5.\S“8xlo“‘ p2 GL‘ k 8(0304120 8': Afc ‘ 20K[.6X(Oé now a: «tan-t5. : W. 0.0 ' 5‘3 58Xl0‘7 [:9 {3* P x o ‘ Sq : all ': —3—4—— :: IQ~SXIO 7:; p}. AEZ 'LOKIGXIDS .SubstLancJ value» of 5‘45}, 8;, {01-0 equah'ovm grv) __ . ~7 - 033 7 $8 x10 :1: V2.5 Xlo 7:2— 0-12: '1' (pg; mcr‘p? B : IILrl8.2 ,1b_ SoluJ-fon E0 Emblem 9-13 § To Ft‘ndi Locahbn 0? [00d P ‘. fidealizahon ‘. i) No PricHon oJ'pivok. m 890m ,6» weightless. 1T1) Spw‘ncjs don'k deHecF Sa'dtuards. From geomeh‘} 0F Defined-ion POI rt'fifd beam. _ c QA r 1% 513 gp 1 Ea g“(5 toy-(Q dPFOTMCIb‘OY) MCLHOHSHI‘JQ: _ _ [é Ch - {(50 ’ 1" SB . Pb : KS” Equilibvr'um 3&2 Mo 2 :3 Pic — FA-O —- Pb- 20 CO 7;) E : i K 56 .a_r . Z a B : [C GIC ‘— 5- Ia_:)- k . SP C S ’ C2— 55 '5 we need E0 have ,3 : 29 k 3P 3 r- ‘- SON/HOD ED mblem Q-Qs‘ Flwd ‘ 6%?de v? (Han‘us Trom equafi'ons t¥J+Fs: P+Qg FAJ'FQI‘S = 3p 9 5») iorce deformab'oh mlaholnship .’ :_ ' sz :— FE J} AA! EA! AS Compafibfhfj SM : 38k FAJ 1A2 ‘ F} J: 0 ,2), 3) we have; (Pioblem 9‘2: (on‘rd') " 6 rm: 5;. . EMA“ F5 ‘ i W as JM F; A: ' ’ 0.6“! QXIO" Mew ado—5 ' 0-2;- ?!“ t 9—9923 F5_ - 7), jflom equah'on g) and 7) 3‘ F : .— "8 S 9-25 ) 1mm aqua)” g) and '1») y 5’ 3 O‘ngw’lo ‘l' '— 3 P+Q/3. Q-I‘S‘ '2,- Q 5: (2534:?- 2_P 5010}?va to TOb‘E‘m 2-26. wooden s+avc=s held Fatawhev bxj circumfereh'cd 8+9?) bdr- P’— I00 95“ ,‘ 399) bar da'qmel'e! 0050-03" torauoEd [9011038 rd 2 1 fr). D: 0":- 11mm; 2.; : 140". films : [N ” To Find 3“, spacing behoeeh steel bows. v.30. o; halfi wafer p‘a‘pe o} (313% S. E quiil'bn'um ‘. :0 z) j P L 9' QFT = PD,S D F K 1 .|' F7 : ‘— D 8 Lo perpendu'culm‘ £0 paper‘. 2 r:l’O'fCE cbe pormah‘on re|aH0rxslnip : mama) Iehafin of bay : 'fl_0_ 2 Fit “AD FT .719 8— AE i) '2 ‘ marl 300: E (Pioblem 9.25 (MM. "horn aquafi'o03 0 and a) ' b0 _ AD ( [70,5 fld’E 2 00 F q POD.5 _ Wail-E thorn Hue COHCHHO"? 005 0'33“) ’2 #900, 0-03 2 W‘s—— mm: k) 0.03 x n x I“)! 30W?6 2 floor 45x40 2 7.95?” ronsfckvvfnc] Jl'milrt'ncj (ace Soluhbn to problem Q-QT— "ro ()9 C p E pfeuent Gwen: B sHpPing 0* ShQH’ dlbmder id Nd: L‘ “"9 Tope Us area! = A W? modulate 0% efcwHo'kg :2 ,(enan (shower gidefit. {gij/x (longer side): ’— Fn‘nh‘on coefficienl" : 79, To King) P: In [Qu'hbnum 0'! YOpQ 23C k a a A C 'R T. T“ (h ' I 6 P—gl P Equliibn'um 0+ YOPG’ AB . pp 'r, z w —~ 2) D EunbeI'Um 04’ mp? CD 772 : PP —~ ‘5). A w DeterminaJ—l'on 01‘ P ' Q r l I ubstthdmfi equahon ’2) , 3) inEO I): w : PP e M. p : fl. 5—7871 . SoiuHon to pmblem 2.28 . Crl‘uen: I'M/dined chome¥er I) ~. 300nm a) frOT‘IUE’ Mt : 223“ NW1. 9,) hfcl—ion co~€FHci9nf 7}; e. To Hind; 1) "T. and "TQ ha met/emf mm}; (91t wheel. Eqqubfium q ' ~1) 1‘ rr! ,_ 225" " mm W (e ~1)Y (80W [flux-0.1; ' T] I. N MN 31, T2 1: Tl 8 l 2: 2684‘)! 6’ OI” /? Soiulrl'on {—0 problem (2.23 20014 [4 “W” T .1.— : Q—FQ 200 0'3)‘ LIXQ'H r X? T: 900 I‘BOSXU Tl : 876.3 xto3 N 2 376-3 KN, @ coeF—Hu'ehk 0F Frich'on = 0-3. To find "r. So‘ufiOn [—0 problem 93% ‘ ed 9 edge 0F erJd OF £86 Gr‘uen: 29 “wants cn‘l‘ipifiiggflz" J Tops) lengl'ku'b‘zs‘o’ Clemanre hamper) Topeend and Pfech end : Tens‘ron applied by each sl—udenf: Joolb. Spring consfan’r 0F rope Wench, : 29,900 (51M, For every #eet. # '6“ Iésmoo ,, ‘ J4 ~ ——~— -: fl 98400 72314 Requived New [Phath r ’ 163‘ .L ,QXL.’+50+— 2L??? ,2 / : $8.0q flyezfi fifio‘ 25mm thick “13' mm wl'de Let gm : ihcrease in Yadius 04 coppm (of). V ox; = increase in rudl'us 0} ska-J ring. Radial {‘orce AF on Hue element of be to?! : 7ox103xmg “W8 is @qu'luaJefi to pmssare , Pt‘ AP : ' I ' ' I . mesh IODjIthanaJ dnvnx 1 no 3 OF Promos” ea mfde mm; Wmo‘axmg P We) Ti“ $8 (3 3 0-333 x106 Nlml Pi (0909' ‘0'] — 0 333 MPO. Lei Po b8 H39 pressure between (0:! andnnfl Sm _ (Pr—Po»r2 _ “(~90 . M?- tc‘EC 15110”? $ II'le'03 6 mpg, r1 F PD x 44+" Rs : SEA ‘ Qwro“3xzoomo3 QEOmQJ—H‘C Compfl'brhfhy : FPO) $2411 pa X2449- fo'y 59¢ : 5?: + 05"”0—3 $ M 7SXro"3XIl7XIO'—” ‘ QSXto”3xapouo° Subs’th'wg uaJuP 0; pl. Tangenhlaj 'F’OHE’: a ' FT = CPL-FoW‘D \. we gel p5 _': 0-0622 MP0. = (0-133 45-0622} x241m03 x7: : wax/1, KN. ...
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chapter2 - (D So\u’cion3 10 (WNW 2.H\N Raglan“...

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