THEO'�R·Y OF STRUC TURES S.UIN.I TS I I DrB.. PCu.n miEar A.s hKo.Jk a inD rA.r uIntJ ain \ THEOROY F STRUCTURES THEORY 0F 1 STRUCTURES By Dr. B.C. PUNMIA Formerly, ProfessanodrH eadDeptot fC.i vEinlg ine&e ring, ,. DeanF,ac ulotyfE ngineering M.B.EMn.g ineCeorlilnegg e, Jodhpur ErA.S HOKK UMAR JAIN DrAR.UN KUMAR JAIN Direetor, AssisPtraonfets sor ArihCacnnts ultants, M.B.EMn.g ineCeorlilnegg e, Jodbpur Jodhpur THIRTEENETDHI TION �� £.. 'W "7).'>. (ENTIRINEL YS IU NITS) O �] (f� 1 �t� (ThorouRgehvilsye adn dE nlarged) � � LAXMIP UB.LICATI(OPNL)ST D AnI S9•0J0: 12 0C0o8m pany BENGALUR•U CHENNA•I COCHI•N GUWAHAT•I HYDERABAD JALANDHA•R -< OLKAT•A LUCl:.NOW• MUMBAI• RANCH•I NEWD ELHI BOSTO(NU SA•) ACCR(AG HANA•) NAIRO(BKIE NYA) THEOORFSY T RUCTURES ©19718,91,91992,20B0.0PC,U.2N 0M0I4A ©1992,2000,2005A SHOKKU MAJRA IANR,UK NU MAJRA IN Copy©rb iygA hutt hors. 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First: J Eud1li9yt6,Si5 eo,cn oE nddi :tOi co1tn9. 6 T7h,i rd :JE ad1ni9.t7 iF1oo,nu E rdtih:t Ji ao1nn9. 7 4 FifthE di:tMi aoy1n,9 7S8i,xE tdhi :tJ iuon1ne9 ,8S 2e,v enth:J aE1nd9.i8t E6ii,og Enhd tih:t Ji ao1nn9. 8 � NinEtdhi :tAi por1ni9 l9R 2e,p r:i1 n9t91s39 ,9T 5e,nE tdhi :tSi eop1nt9 .9R 6e,p r:i1 n9t91s79 ,9 8 ElevEednit:thJ i ao2nn0. 0 R0e,p r:i2 n0t02s10 ,0T 3w,e lftEhd i:tAi uogn. 2004 Repr:2i n0t02s50,02 60,02 70,02 80,02 90,12 00,12 10,12 20,12 30,1T 4h irteEedni:tt2 hi0 o1n7 ISB:8N 1 -0780-618-3 LimoifLt isia tbyi/lDiosWfca lrariaTmnhepteruy b:l ainstdhh aeeur t mhaokrneo r epresoerwn atrarta..vinttiot ni es respteotc hatec cuorrca ocmyp leotfte hnceeo snsto eftn htwisos ra kns dp ecidfiisccaallwlalali rymr aTn-.et ies_ advsitcrea,t aenagdci teiscv,oi nttihaeiesnr meeadiny no btes uitfaoebrvl eseryi tuIapnte irofno.r ming acti-.ites aduslutp ermvuisbstesi ooun gLhitk.ec woimsmeso,en n asnecd a arreee s setnott hiceao ln doufac ntay nI •1 actiwvhiettidheeessr,c irnti hbbieosdoo kro therwisteh.pe u bNleniiosttrhhh eaeerur t shhoabrle ll i awb l: assuamnreyes s ponfsoairnbi yin ljioutrrdy ia emsaa greishs eirnegfT rhfeoa mtc.ht aa not r ganoirWz eabts;tiieof n refetrort ehiwdino s ra ksac itaatnidao/p noo rt esnotuioraffcl ue r itnhfeorr dmoanetosimt oe nat nh tahtae i.;: tmr ort hpeu bleinsdhoetrrhs ieen sf ortmhaoetr igoann oirzW aetbismoiantpy er ovoirrd eec ommenid-rEYta tions makFeu.r trheearmd,ue srbtesa watrheta htIe n teWrenbesltii tsiettnseh wdio srm kah ya cvhea nogdrei ds appetl'Pd betwweheetnnh w iosrw kaw sr itatnwedh nei nitr s e ad. Altlr adelmoagrookrass n o,yt hmearrs ku cahsV ibgUySoPAr,m, a nGdoal,Bd eelnFl isr,eM weadlMilea r,e.J r¥, TrinLiatxaymp,ip eairnti hwniogsr akrt er adeamnaidrn ktse lplreocptoeuwrantlbey ydo rl icetnoLs .exdrn i Publiciatstsui bosniosdra,i ff airliNieoastt weist.h tshtdiaisns dcilanalogilt m hneearrm, ae nsmd a rmkesn tino ned thwiosra krt eht er andaem tersa,d eomrsa errkmvsai rcokefts h reeirs pective owners. <l> Bangal0o8r0e7- 526 693 0 (f) Chenna0i4 43-424 472 6 <l> Cochin0 484-203447,0 1573o 0 : <l> Guwah0a3t6i1 3-626 5924,5 318g _ CII .s:. (f) Hydera0b4a0d5- 525 738 32,75 55 39! u CIll... <l> Jaland0h1a8r1 1-227 22 2 1111 (f) Kolkat0a3 32-724 238 4 PUBLIISNHI ENDD BIYA <l> Luckno0w5 229-921 260 � LAXPMUIB LICA(TPLI}TO DN S <l> Mumbai0 229-125 441 52,49 27 86!1 AnI S9O0 :0210 C0o8m pany <l> Ranchi0 6514-42 2604 11G3O,L DEN HOUSEN,E WDD AERLYHAlG-A1N1J000,2 , INDIA Telep:9h 1o-n1e1 2-540034,53 352 35 01 C-12014/016/06 Fa:x9 1-112-52734223,552 35 28 [email protected] ublicaPtritioenandst: I. ncotme rnPartiinotnD-ea0ll-h Pia c, PREFATOC ETH E THIRDE DITION Int hviosl utmeha,eu thhasoa ret m ptte.dop resemnotra ed vatnocpedii nscs tr en�II. ofm atearnimdae lcsh aonfsi tcsr uicntaru irgeo arnocduso hemraennntBe ortv.ho lurtES Ia nIdcoI vetrhe en tcoiurrsefe o dre grdeei.p laonmAdaM IeEx aminiantt hsuiibosjn e:t.s "\.olumIeIh a bse edai viidnfetodopu artsr. P aInco ntafioncushr a potnme orvsil noga:i s 0:1s tatdiecatlennl:.yben aamtasen frda �a. sw ealsol n s tatii�cadleltyebe rammiPsnm.a te IId uh witsht atiincaldleyt erminaantcdeo ntstatecinnhnsc a tpuitrneescr l,audt daipnegr on deflecotfipe odnef crta PmaesIr.I t;oI n tafiivncesh apotnae drvsa tnocpeoidnscs v ent1ll of muenThaestse.c hapatremerso sutslye ffuolmr e chaennigcailn seetruidnPaegrn t-Vt s. has wee chap:>tnme irss celltaonpeicson,uc slo undoein en lge metnhteaooryfery l asticiy. 1beco nteomfts � boo k arseod esi�tedh tahtbe oo ki seq ualulsyet focu ilav siv.: Ol a. mecbarua�n1ed l ecternigcailn seteurdienngt s. Theboo k iwrist teennt iimnre etlu:iync iE tasct.ho piinct rodiutsch eodr oduescgrhilbyed , tll.tell eoirysr igordoevusellyoa pendadl, a rngeu mbeorfn umerexiacamlpa lresie nc lu<bl tei llasittsar paptlieca tion. Goefin mepornapalrn itsn tacanitmdpcne letesnha tsodr asei m.st iavariagibvly ebnyp ractical. A.i l lalrnugusemt borefapr tr ioobanl.rea emv sa ilnaeb le at endal eachch aptteoer n.a tbhlseet utdoet aeshtti rse adaitdn igff ereonfth issst tuadgcses. Thea utihhsoi rgt hnlya ntkoPfu rl•S .fCG..o yaanlSd h Or.iKaP l.a fnotirh peeirrm issi.Jn tor eprodsuocemc eh apatueexa\Jrsm plesfr omt hbeo o'kS troefMn agttehar ni1bdae lc:rys CI St:uctVuorlIesI.w' r itbtyte hanea tihnot rh ecoilrl aborThaatnikaosrna e.l dsuote o thsenea toetf h Loen doUnn ivaenrstdito th Syee croetfth Iaenry s tioStf tutriuEocnntg uirnaeersl, u>Jifdotorhn ke,ii penrrd m istsroie opnrt o4hueecexi arm iqnuaesttiThioeoLon nn sd.oU nn .ve�ty ii!n n ow aryes ponsifboltreh a ecc uroacyft haen swIenpr rse.p tahrtiiesnxt g.t ah,ue t ror has fleelroyn sumlatneedyx celboolkeso nntt hseu bajnetdchh tee ilgrspa teafuclklnyo wtedgcd. Eveeryff o·r.vatms a dteoe limeirnraio.ntr-e hsb e o obku,st h otuhlredea d<lesrco "fr SJmteh aeu t'\it'hOoural pdp recihaatV"lletg h esber outgohh ista tteSnutggiesotnfi.ro •nsm tlca1dee rfso r im:;,irnto hvbCDeek m weinbltelm osgtr ataecfkunlolwyl edged. Jodhpur, Janua,y 17,: 971 B.CP.U NMI� PREFACTOE THE FOURTHE DITION Int hfeo uednitt_it ohsneu, b mjaectt otfte hrbooe k hasb eeunp daAtneda .ppe ncix, mntaininqgu estifroonsm t heAM IE s.:ctiBo nex aminatiino"Th neosry ofS tructLuarses•, beena ddTheedu .t hiostr h antkfuoSl h Jr.iNS .h rivfasobtriav sva al usaubglgees 'btri ons imprevemeinntts il be ook. Jodhpur, January 1,N 74 B.CP.U NML� (vi) PREFATOC Em E SIXTH EDITION Int hSei xEdtiht itohnse,u bjmecatt theaberse nr evised anudpd atAed .l atnguemrbe r ofExa mplesi nS Iu n!5i havbeeen addeadtt heen do ft hbooek . Jodhpur. JuneJ S1,9 82 B.CP.U NMIA PREFATCOEffl E SEVENETHD ITION Int hSevee ntEdhi titohnee,n tbooikr eh asb eerne wriutstiSenIung n iThteso .l ddi agrams · · havebee n replaby cedn ew ones. Jodhpur, Deq,awali1 8N ov1.9 85 B.CP.U NMIA PREFATOC ETH E EIGHTH EDfflON Int hEei ghEtdhi ttihosenu ,b jmecatt theasbeer n revisaendud pd atAed .n ew chapter onB uildFirnagmh esas be ena ddaedt t heen do ft hbooek . Jodhpur, Sept 1,1 988 B.CP.U NMIA PREFATOC ETH E NINTHE DITION Int hNei nEdtiht itohnbooe,k basbe enco mplertewreilyt tTheenboo .k hasbee n divided intfoo usectri ons,Sec tio1n,co ntainfivienc gh aptiesors n,' MovLoiandsg' Se.c ti2o onn 'Statilcanldlye tennSitnrautctescou nrtesa'ei,ln ev cehna pSetcetrsi.to hnri eeds ev ottedo'. Ad vanced TopiicsnS trenogfMt aht erainadhl asss 'ix c haptLaesrst.lyse ,c ti4o hnas s ixc hapotne rs 'MiscellanTeooupsi Thcsu's.i nt hNei nth Edoiftt hibooeok n. w hibcah2s 8 c haptfiveers , new chapthearsvbee en added. Inea chc hapttehrse,u bjmecatt tbeasrbee n rearranangdedn ew artihcalvbeeesen addedM.a nnyew advanpcedr oblheamvbesee na ddwedh iwcihlbe l u sefufloco rm petitive examinations. Jodhpur, MahaveJeayanure, JSApril 1992 B.CP.U NMIA ASHOKK UMARJ AIN ARUN KUMARJ AIN (VII) PREFATCOTE H ET WELFETDHI TION Theb oohkabe se nt hororuegvhailnseydedn laursgirenedgv, si iscgeondn vefonrtB. iMo.n s, anSdF. S evCehr3.?atlse uracs'sh,I nflluiefonr.crees s t roensfr saemse' sTh:rm eoem eeqnuta tion meth'DWde:lj doe:'dnP tlsaa:ns atlimycdds eissai ng'dn'B uilfrdaimnhegas vb'ee e cno 111pl�ely rewritten. Theb oohka· s, eleanst eyrps eeistnb igsgiefozrre m kaete,p pianwcgie mt ohd etrrnrn d. Thouugthmc oashrtae bs e etna kteoen l :mienrartsoeor mmsea, sy t rielmlaa inwnde,w oublec thankful itfh easrpeeo inotuTheted.A uthoarrtseh antkSofuh Mlr. iGS a.h folrLo ats Teypers etting antdSo h Krain lhyafoalrt ratchideni ga grFaimnsta.hlA elu yt,ha ortrehs a ntkSofuh RlrK. i.G q>ta oLfa xPmuib li(cPaL)tt foidro.g n osop dri ntainendxg c egleultpet tnoht b eo oaknt dh taotno a recsohropdre tr iod. Jodhpur 1th5 Aug2u0s0t4 B.PCU.N MIA ASOHK K UMAR� JAI ARUKNU MAJRA IN PREFATCOTE E ET HIRTEEENDTIHT ION Thet hiretdeieotnftith ohbin os op kr estehunent dse rgsrtaudduoefean nttgesi n:mede ring altshose t udoe.fn\ tMasInu E p daatnaecned x tenrseivvsieuslbeyjd e ct. [itwsr iitntl,eu nce iaadsn,ycd r tyals-cllaenagArul talhgn eee .c eisnsfoarrmyoa n1ht 10iroyn ofS tructhuabrsee nps r ovThiedb eodcki.w s r iitnst ueacnw h a aysi af t eaictshe earc thhien g subtjtoeh csett udiefrnr.o tnoshtf i amn dstthued aerrneet cse tihsveai mwneigs tpho nt:madn eity withaoneuyxt te rffao rt. Theb oocko nta2i3cn hsa pItited;; ri sv.ii dntethdor ee -sMeocvtiLinooganS dsts a,t i<::ally IndeterSmtirnuaactn:Medui rsecse llanAettwh esen o dTtf oh lpeaci shctas p.at nIe nrdi,egs xi ven. Profeasnssdto urdaser wneet lsc tosome eun std hseuigrg ersetgiaotrnhdbseie ntgt eorfm eI.t thboioskTh .o sweib lled ucloyn sihd tehsreue bds eeqduietnito n. BC..PU NMIA ASHOKKU MAJRA IN ARUKNU MAJRA IN Contents PART-I MOVING LOADS CHAPTER 1 ROWNG LOADS 1.1.I N1RODUCTION 3 1.2.S INGCLOEN CENTRATED LOAD 4 1.3.U NIFORMDLIYSTR mUTEDL OAD LONGE1HANR nIB SPANO FTI-I E GIRDER 6 1.4.U NIFOa,dl. Y DISTRmUTEDL OAD SHORTE1HANR nlE SPANO F11iE GIRDER8 1.5.TW O POINTL OADSW ITH A FIXED DISTANCEB ETWEEN 1llEM 11 1.6.S EVERAL POINT LOADS: MAX IMUM B.M. 28 1.7.S EVERAL POINTL OADS: MAX . S.AFT.A SECTION 30 1.8.E QUJVALBNT UNIFORMLYD ISTRmUTED LOAD 34 1.9.C OMBINEDDEAD AND MOVING LOAD S.DFIA.G RAMS: FOCAL LENGTI-1 36 CHAPTER 2 INFLUENCLINF.SE 2.1. DEFINmON 41 2.2. INFLUENCLEIN EFO R SHEAR FORCE 41 2.3. INFLUENCE LINE FOR BENDINMGO MENT 43 2.4. LOAD posmoFON R MAXIMUM S.FA.T A SECTION 44 2.5. LOAD POSmON FOMAXIMRU M B.MA.T A SECTION 4S CHAPTER 3 INFLUENCE LINF.S FORG IRDERSWITH FLOOR BEAMS 3.1.INTR ODUCTION S9 3.2.I NFLUENLCIEN OEF S .FOFR. GIRDERW ITH FLOOR BEAMS 60 3.3.L OAD POSmONFOSR MAXIMUM S.F. 61 3.4.I NFLUENCEL INEO FB .MFO.R GIRDERW ITH FLOOR BEAMS 62 3.5.LO AD POSmONFOSR MAXIMUM B.M. 64 CHAPTER 4 INFLUENCELIND FOR� ES INF RAMD 4.1.I NTRODUCTION 67 4.2. PRATI1R USSW ITH PARAU...BL OIORDS 68 4.3.r RATI 1RUSS wrm INCLINED OIORDS 70 4.4.W ARREN1R USS wrm PARALLEL OIORDS 72 4.5. WAREN 1RUSS wrm INC..INED OIORDS 73 4.6.K -1RUSS 7S 4.7.B ALTIMORE 1RUSS WITH SUB-11BS: THROUGHTYP B 78 4.8. BALTIMORE 1RUSS WITH SUB-11BS: D BCK TYPE 81 4.9.B ALTIMORE 1RUSSwrra SUB-STRI.Tl'S :THR OUGH TYPE 83 (be)
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