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1、第33卷第5期公路交通科技Vol．33No．52016年5月JournalofHighwayandTransportationResearchandDevelopmentMay2016doi:10．3969/j．issn．1002-0268．2016．05．014三塔两跨悬索桥中塔位移及跨中挠度简化计算方法121柴生波,王秀兰,任翔(1.西安科技大学建筑与土木工程学院,陕西西安710054;2.长安大学公路学院,陕西西安710061)摘要:为获得活载作用下三塔两跨悬索桥变形解析公式,首先通过微分与变分方法推导了均布荷载作用下单跨主缆挠度的解析计算公式
2、,通过综合研究塔顶位移及主缆弹性伸长引起的主缆变形,推导了用于计算三塔两跨悬索桥中塔塔顶位移及加劲梁挠度的解析计算公式。研究发现,对单跨主缆施加均布荷载时,恒载大小对于主缆变形影响不大,主缆变形主要由缆的弹性伸长所引起,取决于主缆的轴向刚度及垂跨比;三塔两跨悬索桥的变形主要取决于中塔的变形以及主缆的伸长。建立三塔两跨悬索桥模型对本文公式进行验证,结果表明,公式能有效对塔顶位移及加劲梁挠度进行估算,可用于初步设计时对三塔悬索桥进行简化分析。关键词:桥梁工程;悬索桥;简化计算;变形;中塔位移中图分类号:U448．25文献标识码:A文章编号:1002-02
3、68(2016)05-0085-07ASimplifiedCalculationMethodforMiddlePylonDeformationandMid-spanDeflectioninThree-pylonandTwo-spanSuspensionBridge121CHAISheng-bo,WANGXiu-lan,RENXiang(1.SchoolofArchitectureandCivilEngineering,Xi’anUniversityofScienceandTechnology,Xi’anShaanxi710054,China;2.Sc
4、hoolofHighway,Chang’anUniversity,Xi’anShaanxi710061,China)Abstract:Inordertoobtaintheanalyticformulafordeformationofsuspensionbridgewith3pylonsand2mainspanscausedbyliveload,ananalyticformulausedforcalculatingthedeflectionofamaincableofsinglespanunderuniformliveloadisderived.Thr
5、oughstudythedeformationofmaincablecausedbypylontopdisplacementandcableelongationcomprehensively,theanalyticformulasforcalculatingthedeformationofmiddlepylontopanddeflectionofstiffeninggirderinsuspensionbridgewith3pylonsand2mainspansarederived.Theresearchshowsthat(1)thedeadloadh
6、aslittleeffectonthedeformationofthemaincablewhenapplyinguniformliveloadalongasinglespan,thedeformationismainlycausedbytheelasticelongationofthemaincableanditdependsonitssag-spanratioandtheaxialrigidity;(2)thedeformationof3-pylonand2-spansuspensionbridgesismainlycausedbythedispl
7、acementofthemiddlepylonandtheelongationofthecable.Afiniteelementmodelofthesuspensionbridgeisestablishedtoverifytheproposedformula.Itshowsthattheproposedformulasareeffectiveforestimatingthedisplacementofpylontopandthedeflectionofstiffeninggirder,whichcouldbeusedforsimplifiedanal
8、ysisofathree-pylonsuspensionbridgeinpreliminarydesigns
