竖向集中荷载作用下钢-混凝土组合梁的解析解

刘寒冰,马辉,刘天明,张云龙

中国公路学报 ›› 2010, Vol. 23 ›› Issue (4) : 39-44.

PDF全文下载(422 KB)
PDF全文下载(422 KB)
中国公路学报 ›› 2010, Vol. 23 ›› Issue (4) : 39-44.
论文

竖向集中荷载作用下钢-混凝土组合梁的解析解

  • 刘寒冰1,马辉1,刘天明1,张云龙1,2
作者信息 +

Analytical Solution of Steel-concrete Composite Beam Under Vertical Loads

  • LIU Han-bing1, MA Hui1, LIU Tian-ming1, ZHANG Yun-long1,2
Author information +
文章历史 +

摘要

为了准确分析钢-混凝土组合梁的抗弯性能,基于接触理论和弹性力学基本思想推导了钢-混凝土组合梁在竖向荷载作用下考虑剪切滑移效应的微分方程,给出了解析解。计算了竖向集中力作用下组合梁的各部分应变和位移状态,分析了钢梁和混凝土顶板交界面处的剪切滑移应变差,并与试验结果进行了对比。结果表明:计算值与试验值有较好的一致性,挠度相对误差不超过2%;该计算公式是合理的、可信的,为工程设计提供了一种简便的计算方法,具有较强的实用价值。

Abstract

In order to accurately analyze the flexural behavior of steel-concrete composite beam, based on contact theory and basic idea of elastic mechanics and considering the shear-slip effect, differential equation of the structure under vertical load was deduced and analytical solution was given. The strain and displacement conditions of composite beam under vertical load were calculated by the analytical solution. Shear-slip strain difference of interface of steel beam and concrete top slab was also analyzed. The results calculated by this method were compared with test result. Result shows that test value has a good agreement with calculated value obtained from a simple beam experiment, and the deflection error is less than 2%. It is concluded that this equation is rational, believable and practical. The method can be used as a simple and convenient analytical method for construction design.

关键词

桥梁工程 / 钢-混凝土组合梁 / 接触理论 / 抗弯性能 / 竖向集中荷载

Key words

bridge engineering / steel-concrete composite beam / contact theory / flexural behavior / vertical load

引用本文

导出引用
刘寒冰,马辉,刘天明,张云龙. 竖向集中荷载作用下钢-混凝土组合梁的解析解[J]. 中国公路学报, 2010, 23(4): 39-44
LIU Han-bing, MA Hui, LIU Tian-ming, ZHANG Yun-long. Analytical Solution of Steel-concrete Composite Beam Under Vertical Loads[J]. China Journal of Highway and Transport, 2010, 23(4): 39-44
中图分类号: U443.35   

参考文献

[1] 聂建国,余志武.钢-混凝土组合梁在我国的研究及应用[J].土木工程学报,1999,32(2):3-8.
NIE Jian-guo,YU Zhi-wu.Research and Practice of Composite Steel-concrete Beams in China[J].China Civil Engineering Journal,1999,32(2):3-8.
[2]周小蓉,陈世鸣,顾 萍,等.体外预应力钢-混凝土组合梁[J].钢结构,2005,20(3):9-11,17.
ZHOU Xiao-rong,CHEN Shi-ming,GU Ping,et al.Steel-concrete Composite Beams with Externally Prestressed Tendons[J].Steel Construction,2005,20(3):9-11,17.
[3]聂建国,李 华,樊建生.钢-混凝土组合梁在大跨人行天桥结构中的应用[J].建筑结构,2002,32(5):38-39.
NIE Jian-guo,LI Hua,FAN Jian-sheng.Application of Steel-concrete Composite Beam in Long-span Walk- side Bridge Structure[J].Building Structure,2002,32(5):38-39.
[4]石启印,刘 洋,李爱群,等.钢-混凝土组合梁纯扭及复合受扭性能[J].建筑科学与工程学报,2009,26(1):94-100.
SHI Qi-yin,LIU Yang,LI Ai-qun,et al.Pure Torsion and Combined Torsion Behaviors of Steel-concrete Composite Beams[J].Journal of Architecture and Civil Engineering,2009,26(1):94-100.
[5]石启印,陆 鸣,李爱群,等.钢-混凝土组合梁与钢管混凝土柱节点的非线性有限元分析[J].建筑科学与工程学报,2009,26(4):73-79.
SHI Qi-yin,LU Ming,LI Ai-qun,et al.Nonlinear Finite Element Analysis of Steel-concrete Composite Beam to Concrete-filled Steel Tubular Column Joints[J].Journal of Architecture and Civil Engineering,2009,26(4):73-79.
[6]王艳丽,王春生,翟晓亮,等.带管翼缘的钢-混凝土组合梁抗弯性能试验研究[J].交通运输工程学报,2008,8(6):63-69.
WANG Yan-li,WANG Chun-sheng,ZHAI Xiao-liang,et al.Experimental Research of Bending Cap-acity for Steel and Concrete Composite Girder with Concrete Filled Tubular Up-flange[J].Journal of Traffic and Transportation Engineering,2008,8(6):63-69.
[7]王春生,宋天诣,冯亚成,等.高强钢-混凝土组合梁受力性能分析[J].交通运输工程学报,2008,8(2):27-33.
WANG Chun-sheng,SONG Tian-yi,FENG Ya-cheng,et al.Structural Behavior Analysis of High Strength Steel-concrete Composite Girders[J].Journal of Traffic and Transportation Engineering,2008,8(2):27-33.
[8]王 骅,薛伟辰.考虑收缩徐变的钢-混凝土组合梁变形计算[J].长安大学学报:自然科学版,2004,24(1):56-60.
WANG Hua,XUE Wei-chen.Deflections of Steel-concrete Composite Beams Due to Shrinkage and Creep[J].Journal of Chang'an University:Natural Science Edition,2004,24(1):56-60.
[9]丁发兴,余志武.圆钢管自密实混凝土纯弯力学性能[J].交通运输工程学报,2006,6(1):63-68,79.
DING Fa-xing,YU Zhi-wu.Pure Bending Properties of Self-compacting Concrete Filled Circular Steel Tube[J].Journal of Traffic and Transportation Engineering,2006,6(1):63-68,79.
[10]刘 航,李晨光,聂建国.体外预应力钢与混凝土组合梁试验研究[J].建筑技术开发,2002,29(11):1-2.
LIU Hang,LI Chen-guang,NIE Jian-guo.Experimental Research on Prestressed Steel & Concrete Composite Beam[J].Building Technique Development,2002,29(11):1-2.
[11]聂建国,沈聚敏,袁彦声,等.钢-混凝土组合梁中剪力连接件实际承载力的研究[J].建筑结构学报,1996,17(2):21-28.
NIE Jian-guo,SHEN Ju-min,YUAN Yan-sheng,et al.Study on Practical Bearing Capacity of Shearing Junction in Steel-concrete Composite Beams[J].Journal of Building Structure,1996,17(2):21-28.
[12]聂建国,崔玉萍,石中柱,等.部分剪力连接钢-混凝土组合梁受弯极限承载力的计算[J].工程力学,2000,17(3):37-42.
NIE Jian-guo,CUI Yu-ping,SHI Zhong-zhu,et al.Ultimate Flexural Capacity of Composite Steel-concrete Beams with Partial Shear Connection[J].Engineering Mechanics,2000,17(3):37-42.
[13]聂建国,沈聚敏.滑移效应对钢-混凝土组合梁弯曲强度的影响及其计算[J].土木工程学报,1997,30(1):31-36.
NIE Jian-guo,SHEN Ju-min.Slip Effect on Strength of Composite Steel-concrete Beams[J].China Journal of Civil Engineering,1997,30(1):31-36.
[14]方立新,宋启根.部分剪切连接组合梁弹性刚度和极限强度的计算[J].工业建筑,2000,30(1):47-50.
FANG Li-xin,SONG Qi-gen.Evaluation of Elastic and Ultimate Flexural Strength in Design of Partially Composite Beam[J].Industrial Construction,2000,30(1):47-50.
[15]杨 璐,王元清,石永久,等.中国、欧洲钢-混凝土组合梁的设计规范比较[J].建筑科学与工程学报,2006,23(4):34-37.
YANG Lu,WANG Yuan-qing,SHI Yong-jiu,et al.Design Code Comparison of Steel-concrete Composite Beam of China and Europe[J].Journal of Architecture and Civil Engineering,2006,23(4):34-37.
[16]谢 峻,余天庆.部分剪力连接钢-混凝土组合梁的截面抗弯分析[J].南京理工大学学报,2000,24(5):453-456.
XIE Jun,YU Tian-qing.Analysis of Bending Capacity of Steel-concrete Composite Beams with Partial Shear Connection[J].Journal of Nanjing University of Science and Technology,2000,24(5):453-456.
[17]冉 嵬.体外预应力钢-混凝土组合梁受弯性能理论分析与试验研究[D].南京:东南大学,2006.
RAN Wei.Theoretical Analyse and Experimental Research on Bending Behavior of External Prestressed Composite Steel-concrete Beams[D].Nanjing:Southeast University,2006.
[18]扬L. 钢-混凝土组合结构设计[M].张培信,译.上海:同济大学出版社,1991.
YANG L.Design of Steel-concrete Composite Structure[M].Translated by ZHANG Pei-xin.Shanghai:Tongji University Press,1991.
[19]刘寒冰,刘文会,张云龙.集中荷载作用下组合梁剪切滑移计算分析[J].应用数学和力学,2005,26(6):677-682.
LIU Han-bing,LIU Wen-hui,ZHANG Yun-long.Calculation Analysis of Shearing Slip for Steel-concrete Composite Beam Under Concentrated Load[J].Applied Mathematics and Mechanics,2005,26(6):677-682.

基金

国家高技术研究发展计划(“八六三”计划)项目(2009AA11Z104);吉林省教育厅“十一五”科学技术研究项目(2009173)
PDF全文下载(422 KB)

1331

Accesses

0

Citation

Detail

段落导航
相关文章

/