波形钢腹板组合梁挠度计算方法对比
|
摘要
波形钢腹板的剪切变形对组合梁挠度影响显著,不同计算方法结果差异明显。以波形钢腹板组合梁典型结构体系(简支梁和悬臂梁)为研究对象,基于5种计算理论——经典梁法、Timoshenko梁法、弹性剪切变形法、有效刚度法、三角级数理论,通过对比其假设和计算公式,建立空间有限元模型分析在跨中集中荷载和均布荷载作用下不同挠度计算方法的精度,总结适用不同跨高比区间的计算方法。建议简支梁在集中荷载或均布荷载作用下需要考虑剪切变形的跨高比限值均取35;对于悬臂梁,跨高比限值则分别取10,14. 5。
The shear deformation of corrugated steel webs has significant influence on the deflection of composite beams,and the results of different calculation methods are obviously different.Taking a typical structural system of corrugated steel web composite beams( simply supported beams and cantilever beams) as the research object,based on five different calculation theories—classical beam method,Timoshenko beam method,elastic shear deformation method, effective stiffness method and trigonometric series theory,and by comparing their assumptions and calculation formulas,a spatial finite element model was established to analyze the accuracy of different deflection calculation methods under the actions of concentrated load in the midspan and uniform loads.The calculation methods for different span-height ratios were summarized.It is suggested that the span-to-height ratio limit of simply supported beams under concentrated load or uniform load need to consider shear deformation is 35,while for cantilever beams,the span-toheight ratio limit under concentrated load or uniform load are 10. 0 and 14. 5 respectively.
The shear deformation of corrugated steel webs has significant influence on the deflection of composite beams,and the results of different calculation methods are obviously different.Taking a typical structural system of corrugated steel web composite beams( simply supported beams and cantilever beams) as the research object,based on five different calculation theories—classical beam method,Timoshenko beam method,elastic shear deformation method, effective stiffness method and trigonometric series theory,and by comparing their assumptions and calculation formulas,a spatial finite element model was established to analyze the accuracy of different deflection calculation methods under the actions of concentrated load in the midspan and uniform loads.The calculation methods for different span-height ratios were summarized.It is suggested that the span-to-height ratio limit of simply supported beams under concentrated load or uniform load need to consider shear deformation is 35,while for cantilever beams,the span-toheight ratio limit under concentrated load or uniform load are 10. 0 and 14. 5 respectively.
引文
[1]徐强,万水.波形钢腹板PC组合箱梁桥设计与应用[M].北京:人民交通出版社,2009.
[2]JIANG R J,KWONGAU F T,XIAO Y F.Prestressed Concrete Girder Bridges with Corrugated Steel Webs:Review[J].Journal of Structural Engineering,2015,141(2):04014108.
[3]李宏江,叶见曙,万水,等.剪切变形对波形钢腹板箱梁挠度的影响[J].交通运输工程学报,2002,2(4):19-22.
[4]CHAWALIT M,EIICHI W,TOMOAKI U.An Extended Elastic Shear Deformable Beam Theory and Its Application to Corrugated Steel Web Girder[J]. Journal of Structural Engineering,2003,49:29-38.
[5]CHAWALIT M,EIICHI W,TOMOAKI U.Analysis of Corrugated Steel Web Girders by an Efficient Beam Bending Theory[J].Proceedings of JSCE,2004,21(2):131-142.
[6]李明鸿,万水,蒋正文,等.波形钢腹板混凝土组合梁挠度计算的初参数法[J].华南理工大学学报(自然科学版),2015,43(2):66-74.
[7]陈建兵,李淑琴,万水,等.悬臂波形腹板组合箱梁挠度计算方法研究[J].苏州科技学院学报(工程技术版),2008,21(4):5-8.
[8]李立峰,刘志才,王芳.波纹钢腹板组合箱梁弹性阶段弯曲理论及模型试验研究[J].公路交通科技,2008,25(1):69-73.
[9]贺君,刘玉擎,陈艾荣,等.折腹式组合梁桥考虑剪切变形的挠度计算[J].同济大学学报(自然科学版),2009,37(4):440-444.
[10]苏俭,刘钊.波形钢腹板箱梁桥考虑剪切变形影响的挠度计算方法[J].中外公路,2010,30(3):143-147.
[11]聂建国,李法雄.考虑腹板剪切行为的波形钢腹板梁理论模型[J].中国公路学报,2012,24(6):40-48.
[12]聂建国,李法雄,樊健生.波形钢腹板梁变形计算的有效刚度法[J].工程力学,2012,29(8):71-79.
[13]叶华文,王力武,张庆,等.波形钢腹板组合梁弯曲变形的三角级数解研究[J].西南交通大学学报,2019,54(4):1-9.
[14]ELGAALY M,HAMILTON R M,SESHADRI A. Shear Strength of Beams with Corrugated Webs[J].Journal of Structural Engineering,1996,122(4):390-398.
[15]JOHNSON R P,CAFOLLA J.Corrugated Webs in Plate Girders for Bridges[J]. Proceedings of the Institution of Civil Engineers-Structures and Buildings,1997,122(2):157-164.
[16]王芳.波形钢腹板组合箱梁力学性能试验研究[D].长沙:湖南大学,2007.
[17]吴文清,叶见曙,万水,等.波形钢腹板—混凝土组合箱梁截面变形的拟平截面假定及其应用研究[J].工程力学,2005,22(5):177-180.
[2]JIANG R J,KWONGAU F T,XIAO Y F.Prestressed Concrete Girder Bridges with Corrugated Steel Webs:Review[J].Journal of Structural Engineering,2015,141(2):04014108.
[3]李宏江,叶见曙,万水,等.剪切变形对波形钢腹板箱梁挠度的影响[J].交通运输工程学报,2002,2(4):19-22.
[4]CHAWALIT M,EIICHI W,TOMOAKI U.An Extended Elastic Shear Deformable Beam Theory and Its Application to Corrugated Steel Web Girder[J]. Journal of Structural Engineering,2003,49:29-38.
[5]CHAWALIT M,EIICHI W,TOMOAKI U.Analysis of Corrugated Steel Web Girders by an Efficient Beam Bending Theory[J].Proceedings of JSCE,2004,21(2):131-142.
[6]李明鸿,万水,蒋正文,等.波形钢腹板混凝土组合梁挠度计算的初参数法[J].华南理工大学学报(自然科学版),2015,43(2):66-74.
[7]陈建兵,李淑琴,万水,等.悬臂波形腹板组合箱梁挠度计算方法研究[J].苏州科技学院学报(工程技术版),2008,21(4):5-8.
[8]李立峰,刘志才,王芳.波纹钢腹板组合箱梁弹性阶段弯曲理论及模型试验研究[J].公路交通科技,2008,25(1):69-73.
[9]贺君,刘玉擎,陈艾荣,等.折腹式组合梁桥考虑剪切变形的挠度计算[J].同济大学学报(自然科学版),2009,37(4):440-444.
[10]苏俭,刘钊.波形钢腹板箱梁桥考虑剪切变形影响的挠度计算方法[J].中外公路,2010,30(3):143-147.
[11]聂建国,李法雄.考虑腹板剪切行为的波形钢腹板梁理论模型[J].中国公路学报,2012,24(6):40-48.
[12]聂建国,李法雄,樊健生.波形钢腹板梁变形计算的有效刚度法[J].工程力学,2012,29(8):71-79.
[13]叶华文,王力武,张庆,等.波形钢腹板组合梁弯曲变形的三角级数解研究[J].西南交通大学学报,2019,54(4):1-9.
[14]ELGAALY M,HAMILTON R M,SESHADRI A. Shear Strength of Beams with Corrugated Webs[J].Journal of Structural Engineering,1996,122(4):390-398.
[15]JOHNSON R P,CAFOLLA J.Corrugated Webs in Plate Girders for Bridges[J]. Proceedings of the Institution of Civil Engineers-Structures and Buildings,1997,122(2):157-164.
[16]王芳.波形钢腹板组合箱梁力学性能试验研究[D].长沙:湖南大学,2007.
[17]吴文清,叶见曙,万水,等.波形钢腹板—混凝土组合箱梁截面变形的拟平截面假定及其应用研究[J].工程力学,2005,22(5):177-180.