钢筋混凝土弯扭构件承载力验算方法与安全性*
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（湖南大学土木工程学院， 长沙410012）［摘要］对于钢筋混凝土弯扭构件的配筋设计，我国《混凝土结构设计规范》（GBJ 10—89，GB 50010—2002和GB 50010—2010）基本沿用了相同的思路，常称为“简化实用算法”，即忽略弯扭相关性，受弯扭构件纵向钢筋截面面积分别按受弯构件的正截面受弯承载力和剪扭构件的受扭承载力计算确定，并叠加配置在相应的位置。但现行混凝土规范（GB 50010—2010）没有给出弯扭承载能力验算公式，有人错误地混淆设计和验算的关系，认为按现行混凝土规范（GB 50010—2010）设计的弯扭构件承载能力严重偏低且对应的可靠指标远不能满足《建筑结构可靠度设计统一标准》（GB 50068—2001）的目标可靠指标。基于弯扭相关性，提出钢筋混凝土弯扭构件承载能力简化验算方法，并对其安全性进行探讨，得出的结论具有指导意义，有助读者正确和深入地理解我国《混凝土结构设计规范》。［关键词］钢筋混凝土; 弯扭构件; 相关性; 简化验算方法; 安全性中图分类号：TU375 文献标识码：A 文章编号：1002-848X(2013)23-0081-06Checking calculation method and reliability of bearing capacity of RC members under torsion and bendingZhang Wangxi, Yi Weijian(Civil Engineering College of Hunan University, Changsha 410012, China)Abstract: In order to design the RC member under torsion and bending, Chinese Codes for design of concrete structures（GBJ 10—89, GB 50010—2002 and GB 50010—2010）always carry out the same way. The method generally is named “Simplified Practical Method”, that is, ignoring the bearing capacity correlation between torsion and bending, the longitudinal reinforcement of RC member under torsion and bending depend upon the reinforcement calculating on the same RC member under torsion and bending individually. Two different types of reinforcement are superimposed on each other in the corresponding position according to the section area of reinforcement. Chinese current Codes for design of concrete structures（GB 50010—2010）do not prescribe the bearing capacity check method of RC member under torsion and bending. Someone mistakes the relationship between design method and check method, and thinks that the real bearing capacity designed by Chinese current Codes for design of concrete structures（GB 50010—2010）is below the real expected demand severely and the corresponding reliability can not meet the minimal requirements of Unified standard for reliability design of building structures（GB 50068—2001）. Based on the correlation between torsion capacity and bending capacity, a simplified calculation method for bearing capacity of RC member was put forward, and the safety of the simplified calculation method was discussed. The conclusions have directive significance and can help readers understand Chinese Codes for design of concrete structures rightly and further.Keywords: reinforced concrete; torsion-bending member; correlation; simplified calculation method; safety*国家自然科学基金资助项目（51078133，51208190）。作者简介：张望喜，博士，副教授，Email：wxizhang2000@163.com。参考文献［1］小阪义夫, 森田司郎, 陆光閭. 受扭钢筋混凝土构件的力学性能与实用设计法［J］. 世界桥梁, 1981(3): 1-20.［2］张泽霖. 钢筋混凝土弯扭构件强度研究［J］. 福州大学学报：自然科学版, 1985, 25(3): 115-134.［3］康谷贻, 王士琴. 弯剪扭共同作用下钢筋混凝土构件的强度［J］. 天津大学学报, 1986(1): 11-23.［4］胡勇, 范华冰. 考虑相关影响的弯扭构件承载力计算探讨［J］. 工程设计与建设, 2005, 37(5): 8-12.［5］程远兵, 康谷贻, 程文瀼. 钢筋混凝土弯扭构件的全过程分析［J］. 东南大学学报：自然科学版, 2006, 36(1): 97-101.［6］SANTHAKUMAR R. Behavior of retrofitted reinforced concrete beams under combined bending and torsion: A numerical study［J］. Electronic Journal of Structural Engineering，2007(7): 1-7.［7］RAHAL KHALDOUN N, COLLINS MICHAEL P. Combined torsion and bending in reinforced and prestressed concrete beams［J］. ACI Structural Journal, 2003, 100(2):157-165.［8］RAHAL KHALDOUN N. Combined torsion and bending in reinforced and prestressed concrete beams using simplified method for combined stress-resultants［J］. ACI Structural Journal, 2007, 104(4):402-411.［9］GBJ 10—89 混凝土结构设计规范［S］. 北京: 中国建筑工业出版社, 1989.［10］GB 50010—2002 混凝土结构设计规范［S］. 北京: 中国建筑工业出版社, 2002.［11］GB 50010—2010 混凝土结构设计规范［S］. 北京: 中国建筑工业出版社, 2011.［12］鲁懿虬, 黄靓, 徐紫鹏. 对钢筋混凝土弯扭构件承载力计算公式的修正［J］. 工程力学, 2012, 29(7): 130-135.［13］HSU THOMAS T C. Torsion of structural concrete-interaction surface for combined torsion, shear, and bending in beams without stirrups［J］. ACI Journal & Proceedings，1968,65(1): 51-60.［14］PANDIT G S, JOSEPH WARWARUK. Reinforced concrete beams in combined bending and torsion［J］. ACI Special Publication, 1968,18(1): 133-163.［15］LENNART ELFGREN. Reinforced concrete beams loaded in combined torsion, bending and shear—a study of the ultimate load-carrying capacity (Division of Concrete Structures)［M］. Goteborg: Chalmers University of Technology, 1972.［16］VICTOR DAVID J, FERGUSON PHIL M. Reinforced concrete T-beams without stirrups under combined moment and torsion［J］. ACI Journal & Proceedings，1968,65(1): 29-36.［17］LAMPERT PAUL, COLLINS MICHAEL P. Torsion, bending and confusion—an attempt to establish the facts［J］.ACI Journal & Proceedings，1972,69(8):500-504.［18］贡金鑫，魏巍巍，胡家顺. 中美欧混凝土结构设计［M］. 北京: 中国建筑工业出版社, 2007.［19］易伟建. 混凝土结构试验与理论研究［M］. 北京: 科学出版社, 2012.
