独柱式桥墩帽梁的力流线模型设计方法

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1、桥梁建设2013年第43卷第5期(总第222期)106BridgeConstruction，Vo1．43，No．5，2013(TotallyNo．222)文章编号：1003—4722(2013)05—0106—05独柱式桥墩帽梁的力流线模型设计方法贺志启，刘钊，。(1．东南大学土木工程学院，江苏南京210096；2．东南大学混凝土及预应力混凝土结构教育部重点实验室，江苏南京210096)摘要：针对利用浅梁理论进行独柱式桥墩帽梁设计产生较大偏差的情况，提出基于深梁力流线模型理论的应力扰动区(D区)设计方法，并将其应用于独柱式桥墩

2、帽梁的分析和设计中。该方法用力流线表征D区内部的主要传力路径，根据边界条件确定力流线的数学物理方程，据此推导力流线沿程横向拉力的解析计算式。对3种独柱式桥墩帽梁(矩形、倒梯形和花瓶形)进行有限元分析，验证所提出横向拉力计算式的正确性，并以某布置有双支座的花瓶形墩帽为例，说明力流线模型设计方法的应用流程。结果表明，依据力流线模型所提出的横向拉力计算公式具有形式简洁、计算精度高、物理意义明确的特点，可方便可靠地用于独柱式桥墩帽梁的设计。关键词：桥墩；帽梁；应力扰动区；力流线模型；拉压杆模型；设计；有限元法中图分类号：U442．5文

3、献标志码：ADesignMethodforLoadPathModelofCappingBeamofSingleColumnPierHEZhi—qi～．LIUZhao’(1．SchoolofCivilEngineering，SoutheastUniversity，Nanjing210096，China；2．KeyLaboratoryofConcreteandPrestressedConcreteStructuresofMinistryofEducation，SoutheastUniversity，Nanjing210096，Ch

4、ina)Abstract：Inviewoftheconsiderabledeviationsarisinginthedesignofthecappingbeamofsinglecolumnpieraccordingtotheshallowbeamtheory，adesignmethodofstressdisturbanceregion(D-region)basedontheloadpathmodeltheoryofdeepbeamswasdevelopedandwasap—pliedtotheanalysisanddesign

5、ofthecappingbeam．Inthemethod，theforceflowwasusedtoexpresstheprincipalloadpathsintheD-region．Inconformitytotheboundaryconditions，thee—quationsofmathematicalphysicsfortheloadpathsweredeterminedandinturnananalyticalcal-culationformulafortheon-waytransversetensionofthel

6、oadpathswasaccordinglyderived．Thefiniteelementanalysisforthethreetypesofthecappingbeams(therectangular，invertedtrape—zoida1andflaredbeams)ofthesinglecolumnpierwasconductedandthecorrectnessofthede—rivedformulaforthetransversetensionwasverified．Bywayofexampleofthecapp

7、ingbeamofaflaredpierlaidoutwithdoublebearings，theapplicationprocessofthedesignmethodfortheloadpathmodelwasillustrated．Itwasconcludedthattheformulaforthetransversetensionderivedaccordingtotheloadpathmodelwascharacteristicofsimplicity，highcalculationprecisionandexplic

8、itphysicalsignificanceandcouldbeconvenientlyandreliablyappliedtothedesignofthecappingbeamsofthesinglecolumnpiers．Keywords：pier；cappingbeam