鋼筋混凝土圓柱正截面受彎承載力計算方法研究
顧冬生1,2，吳剛2，吳智深2
- 摘 要
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(1 江南大學(xué)環(huán)境與土木工程學(xué)院，無錫 214122；2 東南大學(xué)混凝土及預(yù)應(yīng)力混凝土結(jié)構(gòu)教育部重點實驗室，南京 210096)［摘要］確定截面受壓區(qū)對應(yīng)圓心角2απ是鋼筋混凝土圓柱正截面受彎承載力計算的關(guān)鍵問題。運用數(shù)值計算方法對α變化規(guī)律進行研究，結(jié)果表明軸壓比和縱筋配筋特征值是影響α的兩個主要因素。α隨軸壓比增加呈線性增加，同時縱筋配筋特征值對α和軸壓比的線性關(guān)系也有顯著影響。根據(jù)數(shù)值計算的結(jié)果進行回歸，提出了用軸壓比和縱筋配筋特征值直接表達的α計算公式，計算結(jié)果和數(shù)值計算結(jié)果吻合很好。在此基礎(chǔ)上根據(jù)規(guī)范公式對正截面受彎承載力進行計算，數(shù)值計算結(jié)果和試驗結(jié)果比較發(fā)現(xiàn)，在低軸壓下規(guī)范公式計算結(jié)果偏于不安全。建議了正截面受彎承載力計算的新方法，計算結(jié)果精度較高，并且克服了規(guī)范公式在低軸壓下偏于不安全的不足。［關(guān)鍵詞］鋼筋混凝土圓柱；受彎承載力；數(shù)值分析Analysis on calculation method for normal section flexural capacityof reinforced concrete circular columnsGu Dongsheng1,2，Wu Gang2，Wu Zhishen2(1 College of Environmental and Civil Engineering, Jiangnan University, Wuxi 214122, China; 2 Key Laboratory of Concrete and Pre-stressed Concrete Structures of the Ministry of Education, Southeast University, Nanjing 210096, China)Abstract:The determination of the central angle, 2απ, corresponding to compression zone is the key problem to calculate the flexural capacity of normal section of reinforced concrete circular columns. Numerical analysis was carried out to analyze the rule of α. The results show that the axial compression ratio and longitudinal reinforcement eigenvalue are the two main parameters which significantly influence α. The numerical analysis results show that α increases linearly with the increase of axial compression ratio, and longitudinal reinforcement eigenvalue can influence this linear relationship. Based on the regression of the numerical analysis results, the computing formula of α is established, in which axial compression ratio and longitudinal reinforcement eigenvalue are the only two parameters. It is found that the calculated flexural capacity from formula provided in the code is significantly larger than the numerical results and test results when the axial compression ratio is low. In order to overcome this deficiency, a new method is proposed to calculate flexural capacity, and the calculated results agree well with the numerical results.Keywords:reinforced concrete circular columns; flexural capacity; numerical analysis*國家“937”計劃項目(2007CB714200)，國家自然科學(xué)基金(50608015，50908102)，江蘇省自然科學(xué)基金(BK2009483)。作者簡介：顧冬生，博士，講師，Email：gussds@yahoo.com.cn。參考文獻［1］ GB50010—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.［2］ 藍宗建, 梁書亭, 孟少平. 混凝土結(jié)構(gòu)設(shè)計原理［M］. 南京:東南大學(xué)出版社, 2002.［3］ 徐文平，孟少平. 圓形截面鋼筋混凝土受彎構(gòu)件正截面承載力的快速實用計算方法［J］. 工業(yè)建筑,1997,27(2): 43-45.［4］ 黃義, 王贊芝, 孫先鋒, 等. 混凝土圓形截面偏壓柱極限承載力的解析解［J］. 工業(yè)建筑, 2002, 32(11): 65-67.［5］ 江東,程文. 圓形截面混凝土偏壓和受彎構(gòu)件的正截面承載力計算圖表法［J］.建筑結(jié)構(gòu),1997, 27(5): 15-18.［6］ 李廣平. 圓形截面鋼筋混凝土偏壓構(gòu)件正截面承載力的計算方法［J］. 建筑科學(xué), 2001,17(2): 45-49.［7］ PAULTRE P, L?GERON F. Confinement reinforcement design for reinforced concrete columns［J］. Journal of Structural Engineering ASCE, 2008, 134(5): 738-749.［8］ 魏洋,吳剛,吳智深,等. FRP約束混凝土矩形短柱的延性分析［J］. 地震工程與工程振動, 2009,29(3):71-76.［9］ BINICI B. Design of FRPs in circular bridge column retrofits for ductility enhancement ［J］. Engineering Structures, 2008,30(3):766-776.［10］ Pacific Earthquake Engineering Research Center. The structural performance database［DB/OL］. California：Berkley，20
