箱梁截面扭转中心位置的确定
|
摘要
箱形截面扭转中心位置是箱梁的重要几何参数,在薄壁箱梁桥扭转位移和内力计算中有重要作用。根据薄壁箱梁的结构特点,考虑实际工程中薄壁箱梁顶板和翼缘板不等厚度的实际情况,按薄壁箱形梁约束扭转理论,对桥梁工程中常用的箱形截面扭转中心位置计算公式进行理论推导。在箱形梁的底板中点虚开1个切口,把箱形梁截面上的剪力流分为开口截面剪力流和切口上的附加剪力流之和,利用这2种剪力流对切口引起的相对变形为零的条件,推导出计算单箱单室箱形截面扭转中心位置的显式表达式。数值算例表明:该公式正确,使用方便,可应用于箱梁结构分析与计算。
The position of the torsion center is an important geometric parameter of box girder, and it plays a significant part in the calculation of torsion displacement and internal force for thin-walled box girder bridges.Based on the structural characteristics of thin-walled box girder structure, the computation equation of the torsion center position of box girder often used in bridge engineering is theoretically derived by using the theory of constrained torsion of thin-walled box girder, in which the thickness difference between the top plate and flange plate of box girder bridges is considered. The bottom of a box girder is cut in half in the middle hypothetically, and the shear flow is divided into two parts, i.e. the shear flow of open cross section and the additional shear flow in the open cross section. Based on the deformation compatibility condition, the explicit formula for the computation of the torsion center position is presented for single box girder bridges. Compared with numerical examples, it is showed that the formulae are accurate, and they can be used easily in the calculation and analysis of practical box girder structures.
The position of the torsion center is an important geometric parameter of box girder, and it plays a significant part in the calculation of torsion displacement and internal force for thin-walled box girder bridges.Based on the structural characteristics of thin-walled box girder structure, the computation equation of the torsion center position of box girder often used in bridge engineering is theoretically derived by using the theory of constrained torsion of thin-walled box girder, in which the thickness difference between the top plate and flange plate of box girder bridges is considered. The bottom of a box girder is cut in half in the middle hypothetically, and the shear flow is divided into two parts, i.e. the shear flow of open cross section and the additional shear flow in the open cross section. Based on the deformation compatibility condition, the explicit formula for the computation of the torsion center position is presented for single box girder bridges. Compared with numerical examples, it is showed that the formulae are accurate, and they can be used easily in the calculation and analysis of practical box girder structures.
引文
[1]范立础.桥梁工程[M].北京:人民交通出版社,2002.300-321.FANLi chu.BridgeEngineering[M].Beijing:ChinaCommunicationsPress,2002.300-321.
[2]张元海.薄壁箱梁的挠曲扭转有限元分析[J].土木工程学报,1995,28(6):28-36.ZHANGYuan hai.Flexuraltorsionalfiniteelementanalysisofthin walledboxgirders[J].CivilEngineeringTransaction,1995,28(6):28-36.
[3]郑 振.连续刚构弯箱梁桥横向内力计算方法[J].中国公路学报,2000,13(4):57-61.ZHENGZhen.Calculationmethodofthecontinuousrigidframecurvedboxgirder[J].ChinaJournalofHighwayandTransport,2000,13(4):57 61.
[4]陈 淮,魏 星.钢筋混凝土连续箱梁桥自振特性分析[J].世界地震工程,1993(4):19-25.CHENHuai,WEIXing.Dynamiccharacteristicanalysisofcontinuousreinforcedconcreteboxgirderbridges[J].WorldInformationonEarthquakeEngineering,1993(4):19-25.
[5]陈 淮,朱文正.大型高架桥横向地震反应分析[J].世界地震工程,2002,18(3):80-84.CHENHuai,ZHUWen zheng.Lateralseismicresponseanalysisoflarge scaleelevatedlinebridges[J].WorldInformationonEarthquakeEngineering,2002,18(3):80-84.
[6]郭在田.薄壁杆件的弯曲与扭转[M].北京:中国建筑工业出版社,1989.269-291.GUOZai tian.BendingandTorsionoftheThin walledStructure[M].Beijing:ChinaArchitecture＆BuildingPress,1989.269-291.
[7]郭金琼.箱形梁设计理论[M].北京:人民交通出版社,1991.42-68.GUOJin qiong.DesignTheoryofBoxGirder[M].Beijing:ChinaCommunicationsPress,1991.48-68.
[8]程翔云.梁桥理论与计算[M].北京:人民交通出版社,1990.324-338.CHENGXiang yun.TheoryandCalculationofGirderBridge[M].Beijing:ChinaCommunicationsPress,1990.324-338.
[9]GjelsvikA.TheTheoryofThin walledBars[M].AWileyintersciencePress,1981.30-60.
[10]包世华,周 坚.薄壁杆件结构力学[M].北京:中国建筑工业出版社,1991.88-109.BAOShi hua,ZHOUJian.StructureMechanicsoftheThinwalledBars[M].Beijing:ChinaArchitecture＆BuildingPress,1991.88-109.
[11]陆 楸,汤国栋.薄壁杆件[M].北京:人民交通出版社,1996.7-39.LUqiou,TANGGuo dong.Thin walledBars[M].Beijing:ChinaCommunicationsPress,1996.7-39.
[12]项海帆.高等桥梁结构理论[M].北京:人民交通出版社,2001.15-31.XIANGHai fan.AdvancedTheoryofBridgeStructures[M].Beijing:ChinaCommunicationsPress,2001.15-31.
[13]贺栓海.桥梁结构理论与计算方法[M].北京:人民交通出版社,2003.174-184.HEShuan hai.TheoryandCalculationMethodofBridgeStructures[M].Beijing:ChinaCommunicationsPress,2003.174-184.
[14]陈 淮.高架铁路桥横向刚度研究[D].长沙:长沙铁道学院,1993.CHENHuai.Lateralstiffnessstudyonrailwayelevatedbridges[D].Changsha:ChangshaRailwayUniversity,1993.
[15]陈 淮,曾庆元.连续箱梁高架桥横向动力分析[J].地震工程与工程振动,1996,16(3):114-121.CHENHuai,ZENGQing yuan.Lateraldynamicanalysisofcontinuousboxgirderviaduct[J].EarthquakeEngineeringandEngineeringVibration,1993,16(3):114 12.
[2]张元海.薄壁箱梁的挠曲扭转有限元分析[J].土木工程学报,1995,28(6):28-36.ZHANGYuan hai.Flexuraltorsionalfiniteelementanalysisofthin walledboxgirders[J].CivilEngineeringTransaction,1995,28(6):28-36.
[3]郑 振.连续刚构弯箱梁桥横向内力计算方法[J].中国公路学报,2000,13(4):57-61.ZHENGZhen.Calculationmethodofthecontinuousrigidframecurvedboxgirder[J].ChinaJournalofHighwayandTransport,2000,13(4):57 61.
[4]陈 淮,魏 星.钢筋混凝土连续箱梁桥自振特性分析[J].世界地震工程,1993(4):19-25.CHENHuai,WEIXing.Dynamiccharacteristicanalysisofcontinuousreinforcedconcreteboxgirderbridges[J].WorldInformationonEarthquakeEngineering,1993(4):19-25.
[5]陈 淮,朱文正.大型高架桥横向地震反应分析[J].世界地震工程,2002,18(3):80-84.CHENHuai,ZHUWen zheng.Lateralseismicresponseanalysisoflarge scaleelevatedlinebridges[J].WorldInformationonEarthquakeEngineering,2002,18(3):80-84.
[6]郭在田.薄壁杆件的弯曲与扭转[M].北京:中国建筑工业出版社,1989.269-291.GUOZai tian.BendingandTorsionoftheThin walledStructure[M].Beijing:ChinaArchitecture＆BuildingPress,1989.269-291.
[7]郭金琼.箱形梁设计理论[M].北京:人民交通出版社,1991.42-68.GUOJin qiong.DesignTheoryofBoxGirder[M].Beijing:ChinaCommunicationsPress,1991.48-68.
[8]程翔云.梁桥理论与计算[M].北京:人民交通出版社,1990.324-338.CHENGXiang yun.TheoryandCalculationofGirderBridge[M].Beijing:ChinaCommunicationsPress,1990.324-338.
[9]GjelsvikA.TheTheoryofThin walledBars[M].AWileyintersciencePress,1981.30-60.
[10]包世华,周 坚.薄壁杆件结构力学[M].北京:中国建筑工业出版社,1991.88-109.BAOShi hua,ZHOUJian.StructureMechanicsoftheThinwalledBars[M].Beijing:ChinaArchitecture＆BuildingPress,1991.88-109.
[11]陆 楸,汤国栋.薄壁杆件[M].北京:人民交通出版社,1996.7-39.LUqiou,TANGGuo dong.Thin walledBars[M].Beijing:ChinaCommunicationsPress,1996.7-39.
[12]项海帆.高等桥梁结构理论[M].北京:人民交通出版社,2001.15-31.XIANGHai fan.AdvancedTheoryofBridgeStructures[M].Beijing:ChinaCommunicationsPress,2001.15-31.
[13]贺栓海.桥梁结构理论与计算方法[M].北京:人民交通出版社,2003.174-184.HEShuan hai.TheoryandCalculationMethodofBridgeStructures[M].Beijing:ChinaCommunicationsPress,2003.174-184.
[14]陈 淮.高架铁路桥横向刚度研究[D].长沙:长沙铁道学院,1993.CHENHuai.Lateralstiffnessstudyonrailwayelevatedbridges[D].Changsha:ChangshaRailwayUniversity,1993.
[15]陈 淮,曾庆元.连续箱梁高架桥横向动力分析[J].地震工程与工程振动,1996,16(3):114-121.CHENHuai,ZENGQing yuan.Lateraldynamicanalysisofcontinuousboxgirderviaduct[J].EarthquakeEngineeringandEngineeringVibration,1993,16(3):114 12.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心