圓形截面受彎配筋計(jì)算的精確算法*
陳旭1，周東華1，韓春秀1,2，姚凱程1
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(1 昆明理工大學(xué)建筑工程學(xué)院，昆明 650504；2 昆明冶金高等?？茖W(xué)校建工學(xué)院，昆明 650033)［摘要］對于鋼筋混凝土圓形截面受彎配筋計(jì)算，我國《混凝土結(jié)構(gòu)設(shè)計(jì)規(guī)范》(GB 50010—2010)在推導(dǎo)中采用了近似簡化方法，即等效矩形應(yīng)力圖換算，使用時需要求解超越方程組。為此嚴(yán)格按照非線性本構(gòu)曲線來計(jì)算混凝土和鋼筋的應(yīng)力，建立極限承載力的精確算法，進(jìn)而得到非常實(shí)用的無量綱計(jì)算表格。該表格能一表多用，即用一表解決任意截面尺寸和C50及以下任意混凝土強(qiáng)度等級情況下的計(jì)算問題，還能提供混凝土最大壓應(yīng)變和鋼筋最大拉應(yīng)變等信息。［關(guān)鍵詞］圓形截面; 無量綱計(jì)算表格; 應(yīng)變區(qū)域; 鋼筋環(huán); 受彎配筋中圖分類號：TU318 文獻(xiàn)標(biāo)識碼：A 文章編號：1002-848X(2014)22-0076-06Accurate algorithm of flexural reinforcement of circular cross-sectionChen Xu1, Zhou Donghua1, Han Chunxiu1,2, Yao Kaicheng1(1 Construction Engineering College of Kunming University of Science and Technology, Kunming 650504, China; 2 Architectural Engineering Faculty of Kunming Metallurgy College, Kunming 650033, China)Abstract: For flexural reinforcement calculation of RC member with circular cross-section, the approximately simplified method of equivalent stress block conversion was used in Code for design of concrete structures (GB 50010-2010), and transcendental equations need to be solved in practice. In strict accordance with the nonlinear constitutive curves, the stresses of concrete and steel were calculated, a precise algorithm was established for the ultimate bearing capacity, and practical dimensionless calculating table was set up. The table, which is multi-purposed, can be used for solving calculation problems with any cross-section size and concrete strength below C50, and provides information about the maximum compression strain of concrete and maximum tension strain of steel.Keywords: circular cross-section; dimensionless calculating table; strain region; reinforcement ring; flexural reinforcement*國家自然科學(xué)基金資助項(xiàng)目(51468026，51268022)。作者簡介：陳旭，博士研究生，Email：xuchen_22@163.com。參考文獻(xiàn)［1］GB 50010—2010 混凝土結(jié)構(gòu)設(shè)計(jì)規(guī)范［S］.北京:中國建筑工業(yè)出版社,2011.［2］藍(lán)宗建.混凝土結(jié)構(gòu)設(shè)計(jì)原理［M］.南京:東南大學(xué)出版社,2008.［3］顧冬生,吳剛,吳智深.鋼筋混凝土圓柱正截面受彎承載力計(jì)算方法研究［J］.建筑結(jié)構(gòu),2010,40(10):97-101.［4］吳明軍,陳少云.鋼筋混凝土圓形截面受彎構(gòu)件配筋簡化計(jì)算方法研究［J］.建筑結(jié)構(gòu),2010,40(10):102-104.［5］周東華,王瓊芬,樊江,等.一新的混凝土配筋計(jì)算方法: 無量綱圖表法［J］.工程力學(xué),2010,27(1):165-172.［6］EN1992-1-1 Eurocode 2, Design of concrete structures［S］.Berlin: Beuth Verlag GmbH, 2004.［7］周東華, 程郝明, 羅志堅(jiān),等.新的kh0-法計(jì)算雙筋梁［J］.工程力學(xué),2008,25(2):188-192.［8］弓俊青,朱晞.鋼筋混凝土空心圓端墩柱截面彎曲承載力和延性的分析研究［J］.土木工程學(xué)報,2001,34(2):11-16.［9］吳德安.混凝土結(jié)構(gòu)計(jì)算手冊［M］.北京：中國建筑工業(yè)出版社，2002.
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