鋼筋混凝土彎扭構(gòu)件承載力驗算方法與安全性*
張望喜，易偉建
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（湖南大學(xué)土木工程學(xué)院， 長沙410012）［摘要］對于鋼筋混凝土彎扭構(gòu)件的配筋設(shè)計，我國《混凝土結(jié)構(gòu)設(shè)計規(guī)范》（GBJ 10—89，GB 50010—2002和GB 50010—2010）基本沿用了相同的思路，常稱為“簡化實用算法”，即忽略彎扭相關(guān)性，受彎扭構(gòu)件縱向鋼筋截面面積分別按受彎構(gòu)件的正截面受彎承載力和剪扭構(gòu)件的受扭承載力計算確定，并疊加配置在相應(yīng)的位置。但現(xiàn)行混凝土規(guī)范（GB 50010—2010）沒有給出彎扭承載能力驗算公式，有人錯誤地混淆設(shè)計和驗算的關(guān)系，認為按現(xiàn)行混凝土規(guī)范（GB 50010—2010）設(shè)計的彎扭構(gòu)件承載能力嚴重偏低且對應(yīng)的可靠指標(biāo)遠不能滿足《建筑結(jié)構(gòu)可靠度設(shè)計統(tǒng)一標(biāo)準(zhǔn)》（GB 50068—2001）的目標(biāo)可靠指標(biāo)。基于彎扭相關(guān)性，提出鋼筋混凝土彎扭構(gòu)件承載能力簡化驗算方法，并對其安全性進行探討，得出的結(jié)論具有指導(dǎo)意義，有助讀者正確和深入地理解我國《混凝土結(jié)構(gòu)設(shè)計規(guī)范》。［關(guān)鍵詞］鋼筋混凝土; 彎扭構(gòu)件; 相關(guān)性; 簡化驗算方法; 安全性中圖分類號：TU375 文獻標(biāo)識碼：A 文章編號：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*國家自然科學(xué)基金資助項目（51078133，51208190）。作者簡介：張望喜，博士，副教授，Email：wxizhang2000@163.com。參考文獻［1］小阪義夫, 森田司郎, 陸光閭. 受扭鋼筋混凝土構(gòu)件的力學(xué)性能與實用設(shè)計法［J］. 世界橋梁, 1981(3): 1-20.［2］張澤霖. 鋼筋混凝土彎扭構(gòu)件強度研究［J］. 福州大學(xué)學(xué)報：自然科學(xué)版, 1985, 25(3): 115-134.［3］康谷貽, 王士琴. 彎剪扭共同作用下鋼筋混凝土構(gòu)件的強度［J］. 天津大學(xué)學(xué)報, 1986(1): 11-23.［4］胡勇, 范華冰. 考慮相關(guān)影響的彎扭構(gòu)件承載力計算探討［J］. 工程設(shè)計與建設(shè), 2005, 37(5): 8-12.［5］程遠兵, 康谷貽, 程文瀼. 鋼筋混凝土彎扭構(gòu)件的全過程分析［J］. 東南大學(xué)學(xué)報：自然科學(xué)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 混凝土結(jié)構(gòu)設(shè)計規(guī)范［S］. 北京: 中國建筑工業(yè)出版社, 1989.［10］GB 50010—2002 混凝土結(jié)構(gòu)設(shè)計規(guī)范［S］. 北京: 中國建筑工業(yè)出版社, 2002.［11］GB 50010—2010 混凝土結(jié)構(gòu)設(shè)計規(guī)范［S］. 北京: 中國建筑工業(yè)出版社, 2011.［12］魯懿虬, 黃靚, 徐紫鵬. 對鋼筋混凝土彎扭構(gòu)件承載力計算公式的修正［J］. 工程力學(xué), 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］貢金鑫，魏巍巍，胡家順. 中美歐混凝土結(jié)構(gòu)設(shè)計［M］. 北京: 中國建筑工業(yè)出版社, 2007.［19］易偉建. 混凝土結(jié)構(gòu)試驗與理論研究［M］. 北京: 科學(xué)出版社, 2012.
