考虑剪切变形影响的空间管桁架组合梁挠度计算与分析*
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（1 苏州科技学院土木工程学院，苏州 215011；2 江苏省结构工程重点实验室，苏州 215011）［摘要］为研究新型空间管桁架组合结构的变形特点，将空间管桁架组合梁弯曲受力行为分解为等效空腹虚拟梁的弯曲作用和腹杆组成的虚拟桁架作用。利用虚功原理建立了考虑空腹式腹杆剪切变形影响的挠度计算公式，并采用模型梁加载试验与有限元分析法对计算挠度进行了对比分析。结果表明：剪切变形产生的挠度为计算总挠度的52%，为弯曲作用产生的计算挠度的1.07倍；在各级荷载作用下，考虑剪切变形影响的计算挠度与试验、有限元结果吻合较好，平均偏差分别为5%和2%，试验值与有限元计算值的平均偏差为2%；实测结果验证了计算公式的正确性和有限元模型的合理性。文中建立的挠度计算公式为此类结构在弹性状态时的挠度计算提供了一种准确的简化计算方法。［关键词］空间桁架; 钢-混凝土组合梁; 挠度; 剪切变形; 计算公式中图分类号：TU398 文献标识码：A 文章编号：1002-848X(2014)22-0045-07Calculation and analysis on deflection of spatial tube truss composite beam under the influence of shear deformationChen Jianbing1,2, Li Xiayuan1, Chen Rong1, Su Kun1(1 School of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, China; 2 Jiangsu Province Key Laboratory of Structure Engineering, Suzhou 215011, China)Abstract: To study the deformation characteristic of the new spatial tube truss composite structure, the bending behavior of spatial tube truss composite beam was simplified into flexion of equivalent virtual hollow beam and effect of virtual truss with web members. The virtual work principle was applied to establish the deflection formula under the influence of shear deformation of hollow web, besides, the results were analyzed and compared respectively with the test on beam model and finite element mathematical model. The results show that shear deformation accounts for 52 percent of all deflection, which means it is 1.07 times that of deflection under the flexion; at the state of all stepwise loadings, the calculated results under the influence of shear deformation from formula agree with the experimental results and finite element results well, the average difference is 5 percent and 2 percent respectively, while the average difference of the experimental results and finite element results is 2 percent; the measured results verify the validity of the computational formula and the rationality of the finite element model. The deflection calculation formula provides an accurate and simplified calculation method for such structure on the state of elasticity.Keywords:spatial tube truss; steel-concrete composite beam; deflection; shear deformation; calculation formula*江苏省结构工程重点实验室资助课题（ZD1102）。作者简介：陈建兵，副教授，Email:szctt2009@163.com。参考文献［1］朱聘儒．钢-混凝土组合梁设计原理［M］.2版. 北京: 中国建筑工业出版社，2006．［2］张联燕，李泽生，程懋方.钢管混凝土空间桁架组合梁式结构［M］.北京：人民交通出版社，1999.［3］LEBET JEAN-PAU．Composite bridge in Switzerland［J］．Japanese Bridge and Foundation Engineering, 2000, 34（3）：41-47．［4］代向群，毛健．南海紫洞大桥钢管混凝土斜拉桥的设计［J］．公路交通科技，2002,19（2）：74-78．［5］陈宝春，牟廷敏，陈宜言，等．我国钢混凝土组合结构桥梁研究进展及工程应用［J］．建筑结构学报，2013，34（增刊1）：1-10．［6］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）：17-20．［7］潘年，聂建国，余洲亮．钢桁架-混凝土组合梁的试验研究［J］．工业建筑，2013，43（10）：122-128．［8］李廉锟．结构力学［M］．5版．北京：高等教育出版社，2010.
