圆形截面受弯配筋计算的精确算法*
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(1 昆明理工大学建筑工程学院，昆明 650504；2 昆明冶金高等专科学校建工学院，昆明 650033)［摘要］对于钢筋混凝土圆形截面受弯配筋计算，我国《混凝土结构设计规范》(GB 50010—2010)在推导中采用了近似简化方法，即等效矩形应力图换算，使用时需要求解超越方程组。为此严格按照非线性本构曲线来计算混凝土和钢筋的应力，建立极限承载力的精确算法，进而得到非常实用的无量纲计算表格。该表格能一表多用，即用一表解决任意截面尺寸和C50及以下任意混凝土强度等级情况下的计算问题，还能提供混凝土最大压应变和钢筋最大拉应变等信息。［关键词］圆形截面; 无量纲计算表格; 应变区域; 钢筋环; 受弯配筋中图分类号：TU318 文献标识码：A 文章编号：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*国家自然科学基金资助项目(51468026，51268022)。作者简介：陈旭，博士研究生，Email：xuchen_22@163.com。参考文献［1］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.［2］蓝宗建.混凝土结构设计原理［M］.南京:东南大学出版社,2008.［3］顾冬生,吴刚,吴智深.钢筋混凝土圆柱正截面受弯承载力计算方法研究［J］.建筑结构,2010,40(10):97-101.［4］吴明军,陈少云.钢筋混凝土圆形截面受弯构件配筋简化计算方法研究［J］.建筑结构,2010,40(10):102-104.［5］周东华,王琼芬,樊江,等.一新的混凝土配筋计算方法: 无量纲图表法［J］.工程力学,2010,27(1):165-172.［6］EN1992-1-1 Eurocode 2, Design of concrete structures［S］.Berlin: Beuth Verlag GmbH, 2004.［7］周东华, 程郝明, 罗志坚,等.新的kh0-法计算双筋梁［J］.工程力学,2008,25(2):188-192.［8］弓俊青,朱晞.钢筋混凝土空心圆端墩柱截面弯曲承载力和延性的分析研究［J］.土木工程学报,2001,34(2):11-16.［9］吴德安.混凝土结构计算手册［M］.北京：中国建筑工业出版社，2002.
