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大小:339.26 KB
页数:23页
时间:2019-07-09
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1、Xi-LaLiuandLei-MingZhangShanghaiJiaotongUniversityChapter5InfluenceLineforStaticallyDeterminateStructuresAsdiscussedinChapter1thedifferenttypesofloadswereintroducedanddiscussed.Theloadsmaybedeadorlive,inaccordancewiththeirmagnitudeandpositionfixedorvariable.Apartfromtheuncertaint
2、iesofthematerialpropertiesandthegeneralconstructionprocedures,agreatdealofuncertaintyinstructuraldesignisassociatedwithboththemagnitudeandthelocationofliveloadsonastructure.Toprovideasafedesignofbridgesandbuildings,itisessentialtoknowtheconfigurationofliveloadsthatproduceextremev
3、aluesforsuchquantitiesasreactions,bendingmomentsandshearsatcriticalorassignedlocations,oranyotherquantitiesthatmaybecritical.Thedesignermustenvisiontheworstpossiblecombinationofloadconfigurationtowhichthestructurewillbesubjectedduringitslifetime.Notonlyisthemagnitudeoftheloadsnee
4、ded,butalsothedistributionandlocationofthoseloadsonthestructure.Onewayistoconstructaanalyticalexpressionofthedesiredquantityintermsoftheloadmagnitude/locationandthentrytofindthepeakvalue.Evenforasimplestructure,thisanalysisprocesswouldbesodifficultastobeconsideredapracticalimposs
5、ibility.Fortunately,basedontheconceptofinfluencefunction/influenceline,thisproblemismadeassimpleasitcanbemadewiththeaidoftheprincipleofsuperposition.5.1InfluenceFunction/InfluenceLinesInChapter3and4techniqueswerepresentedtoenableanalysisofstaticallydeterminedbeams,trusses,andfram
6、esundertheactionofafixedcombinationandconfigurationofconcentratedanddistributedloads.Theseanalysesproducedthemagnitudeofthereactionsofstructureandthedistributionofinternalactionsrequiredbystaticequilibrium.Theimportantandinterestingofhowthemagnitudeofareactioncomponentoraninterna
7、lactionchangesbecauseofachangeinpositionofasingleconcentratedloadactingonastructureisansweredthroughtheestablishmentanduseofinfluencefunctions/influencelines.-1-Xi-LaLiuandLei-MingZhangShanghaiJiaotongUniversityAninfluencelineisagraphicalpresentationofthevariationofthemagnitudeof
8、aforce,moment,ordeflectionatasinglefixed
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