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DesignTheoryandEngineeringApplicationofCurvedGirderBridgesABSTRACTWiththedevelopmentofurbanroadandhighroadtraffic,thecurvedgirdersareincreasinglywidelyappliedandbecomeanimportantbridgestyleinmoderncommunicationengineering.Butbridge'tcurvedgirders,therearesomedifficultieswithcurvedgirders.inengineeringAcurvedgirderisaspacialstructureunderthecoupledactionsofbendingandtorsion,soplanaranalysisisn'tapplicableforit.Inthisthesis,basedonthethinnedwalltheoryofVolasov'sandtheengineeringpracticeapplication,theanalysistheoryofcontinuouscurvedgirderbridgeandthefrequentlyusedanalysismethodsinengineeringareintroducedandconcluded.Themechanicscharacteristicofstructureloadhasbeenstudied,withcoupledeffectofbendingandtorsion,unbalancedforceoninnerbeamandouterbeam,andtheeffectofdeadloadandliveload.Itgivesomeadvicesaboutcomputemodelofcurvedgirderbridge,thechoiceofcomputeprogram,andthedesignprogress.Someproblemsuchasthechoiceofsectionandpath,computeanalysis,supportingrestriction,bearingeccentricityinadvanceandgenerallycollocationofcurvedgirderbridgearediscussed.Itbringforwardsometheorythatthereasoncasingtheoutwarddisplacementalongradialdirectionofcurvedbridgesistemperature,andthemostlymeasuresolvingthemotionisselectingrationalsupportingrestriction.Italsobringforwardthatthekeyfactoraffectthemagnitudeofinternalforceinbeamisthesizeofcurvedgirderbridges'radius,centralangletoeveryspan.thespanisselectedbasedoncurveradiustoassurethestructurereasonableandeconomy.Finally,basedontwopracticalproject,thedesignmethodofcurvedgirderbridgesandthekeyproblemwithitarediscussed,anditisanalysedandcomparedtothecharacteristicofdifferentsupportingrestriction.KeywordscurvedgirderbridgeCoupledeffectofbendingandtorsionBearingeccentricityinadvanceBearingrestrictionengineeringinstance.11.111.221.321.461.518212.1212.2252.3292.432353.1353.246584.1584.259616211.1[16]203060802100m1.2T1.31.3.11.3.1.131959[2]''''2zxdIVdxIVmREIGIEIRGIEIREI=+-++-jjj(1-1)''''22zmqRGIEIREIRGIREIEIxydxIVdIVx∂∂+=⎟⎠⎞⎜⎝⎛+-+-⎟⎠⎞⎜⎝⎛+jjwwvw(1-2)'1'''222242RmzmRqzqvRvRvEIyyzxVy-∂∂--∂∂=⎟⎠⎞⎜⎝⎛++1-3Vz1-11-2ù(z)P(z)ù(z)ö(z)1.3.1.234(2)30/≥=EIwGIdLK(3)(4)1.3.1.3410j0j[17]12°1-11-122324345451-1wcph)()1,2(111030KCCEIrpzwcp+====jjwhIDEI/GK=C10C11(°°≤30~5.220j)C11°°≤30~5.220j0j⋅=rL0jP=10j0jRRL°=1300j2.02dEI/GIK=1-4KEIEIGId531.3.21250mCCC=V2/127R(1-5)V——km/hR——m30%1.2m2nqqe1-21-2210TTeqnii+=⋅∑=(1-6)6TT1-31-3∑⋅=2xxTGnx(1-7)qGxM=qL+GxL/8L1.41.4.1[1]1.4.1.1(),222212211221144332211TxxxxGTxGxGxGxGxGxGxGxGxGxGxGxGnxnxnnnx=+++⋅=⋅++⋅+⋅⋅=⋅=⇒====ΛΛ7M/R1.4.1.2TB/L1.4.1.31.4.1.41.4.1.51.4.1.681.4.1.71.4.1.81.4.1.91.4.1.101.4.1.111.4.1.1291.4.1.131.4.1.141.4.2[2]1.4.2.1()()⎟⎠⎞⎜⎝⎛+-=-rNyMmEIzfkzftIV0''2wm(1-8)rwmmIKEIGKk-==1,()zf——K——IP——dAIAp∫=2rwI——dAIA∫=2wwy0——N——f(z))(zt()()rmtGITzfz+⋅=''(1-9)10B02⎟⎠⎞⎜⎝⎛+-=-rNyMmBkBxt(1-10)1.4.2.2'20rEIryuwEANxyqq-⎟⎠⎞⎜⎝⎛--=(1-11)2202⎥⎥⎦⎤⎢⎢⎣⎡⎟⎟⎠⎞⎜⎜⎝⎛-+⎟⎠⎞⎜⎝⎛+-⎟⎠⎞⎜⎝⎛--=∫rxdAyyIruuIrvIEMAxyxyxxqq(1-12)⎥⎥⎦⎤⎢⎢⎣⎡⎟⎟⎠⎞⎜⎜⎝⎛--⎟⎠⎞⎜⎝⎛+-⎟⎠⎞⎜⎝⎛--=∫2202rydAxyIrvIruuIEMAyxyyyqq(1-13)()2⎟⎟⎠⎞⎜⎜⎝⎛+-=∫AxydArzfIEBwqw(1-14)MxBR1PT*P1-4My=0N=0Mx0bj()sinsin'sin*PrajbTMx-=(1-15a)''0bj()ajbsin'sinsin*PrTMx-=(1-15b)T0bj()sincos'sin*Pr'PrajbabTT--=(1-16a)''0bj()sincossin*PrPrajbab′--=TT(1-16b)j'j1-iTiT11R'1PRiab=-(1-17a)PRiab=(1-17a)B0bj()sinsin'sin*sinhsinhsinh1*sinsin'sinsinhsinhsinhPrajbhhajbhm⋅+⋅⋅⋅⋅⋅-+⎟⎠⎞⎜⎝⎛⋅-⋅⋅⋅⋅⋅=rTklkkzkbTrklkkzkbB(1-18a)''0bj()sinsin'sin*sinhsinhsinh1*sin'sinsinsinh'sinhsinhPrajbhhajbahm⋅+⋅⋅⋅⋅⋅-+⎟⎠⎞⎜⎝⎛⋅-⋅⋅⋅⋅⋅=rTklkkzkaTrklkkzkB(1-18b)2)(11kr+=habra='brb=2pmI1-5pT*MxMx151sin'sinsin)(⎟⎠⎞⎜⎝⎛-+-=ajjtmprrMx(1-19)T12')(2)'(ajjwjSinCosCosmprrprTt----=(1-20)3Mi-1Mi1-6MiMx1-622)-(11sin'sinsin)(sinh'sinhsinh1)1(:21)-(12:0',2211⎟⎠⎞⎜⎝⎛-+-+⎟⎠⎞⎜⎝⎛⋅⋅+⋅-+-=====--ajjhhhmjajprmrklkzkzkprmBBRplRRTttiii26)-(1sinhsinhsinsinsinh'sinhsin'sin:25)-(1:24)-(11sincos1sin'cos:23)-(1sinsinsin'sin11111⎥⎦⎤⎢⎣⎡⎟⎟⎠⎞⎜⎜⎝⎛⋅⋅-+⎟⎠⎞⎜⎝⎛⋅⋅--=-=-=⎟⎠⎞⎜⎝⎛--⎟⎠⎞⎜⎝⎛-=+=-----klkzMklkzMrBBRlMMRMMTTMMMiiiiiiiiiixbjajhmaajaajajaw134Bi-1Bi1-71-7iBiT0=T(z=0)Ri-11.4.2.3yxxz1.4.3[2][3]31)-(1wwsIBIxMIyMANyyxxz+⋅+⋅-=32)-(1'tISBtTtISQtISQsyxxxyywwt-Ω+⋅-⋅⋅-=27)-(1:26)-(10::01)1(lBBTTMMMiixxzx-=-===∑28)-(1:211lBBRRRiiii-=-=--29)-(1sinh'sinhsinhsinh:1klkzBklkzBBBii⋅⋅+⋅⋅=-1-271-281-291-3014B/L1.4.3.11Hundry-JargerBL2Guyon-Massonnet3Leonhardt-Homberg15BL1.4.3.2(A)(B)A116a()jqj0jjjlzSinrrqp=qj(2391)(2392)h)f)rorjejqjej=ro-rji35)-(134)-(10lzSinemlzSinqjzoypp==37)-(136)-(122BADBAeBADBeDjj--=--=fh))40)-(1139)-(1138)-(1120202020020202040202020rEIllGIEIGIDlrEIllGIEIrGIBlEIllGIEIrGIAxddxddxdd+⎟⎟⎠⎞⎜⎜⎝⎛⎥⎥⎦⎤⎢⎢⎣⎡+⎟⎟⎠⎞⎜⎜⎝⎛=⎟⎟⎠⎞⎜⎜⎝⎛+⎟⎟⎠⎞⎜⎜⎝⎛⎥⎥⎦⎤⎢⎢⎣⎡+⎟⎟⎠⎞⎜⎜⎝⎛=⎟⎟⎠⎞⎜⎜⎝⎛+⎟⎟⎠⎞⎜⎜⎝⎛⎥⎥⎦⎤⎢⎢⎣⎡+⎟⎟⎠⎞⎜⎜⎝⎛=pppppppp)=⎟⎟⎠⎞⎜⎜⎝⎛-∂∂-=⎥⎥⎦⎤⎢⎢⎣⎡+⎟⎟⎠⎞⎜⎜⎝⎛=iijiijxixijrrEIMfaph)))22apqqhqqCosTrrGITzijiijiijdizij)=⎟⎟⎠⎞⎜⎜⎝⎛∂∂+∂∂=⎟⎟⎠⎞⎜⎜⎝⎛+⎟⎟⎠⎞⎜⎜⎝⎛=iijijidizijrrGIThfap)))()()45)-(1144)-(143)-(10''2⎥⎥⎦⎤⎢⎢⎣⎡+--++⎟⎟⎠⎞⎜⎜⎝⎛=++=⎟⎟⎠⎞⎜⎜⎝⎛+⎟⎟⎠⎞⎜⎜⎝⎛==⎟⎟⎠⎞⎜⎜⎝⎛+=⎥⎥⎦⎤⎢⎢⎣⎡+⎟⎟⎠⎞⎜⎜⎝⎛==⎟⎟⎠⎞⎜⎜⎝⎛--=iijiijiizijixijxijizijxijyijiijijidizijizijiijijdizijiijiijxixijixijiijijxixijrrrlCCGrTlMmrTMQrlGITlzSinTrGITrlEIMlzSinMrEIMfhpmphfpphffphpfh)))))))))))