钢筋混凝土矩形梁最小成本设计曲面研究  

Design Surfaces for Minimum Cost Design of Reinforced Concrete Rectangle Beams

作　　者：尚艳亮[1] 聂辉[2] 赵军华[1] 

机构地区：[1]石家庄铁道学院土木工程分院,河北石家庄050043 [2]石家庄铁道学院工程力学系,河北石家庄050043

出　　处：《石家庄铁道学院学报（自然科学版）》2009年第3期108-111,共4页Journal of Shijiazhuang Railway Institute

摘　　要：采用数学最优化理论,结合现行设计规范,对钢筋混凝土矩形梁在极限强度状态下进行研究。提供一个设计空间曲面作为最小成本设计时选用最优化配筋比的依据。求得梁断面的最优配筋比及其相对应断面有效高度,以使得梁体成本最小。求取一个配筋比边界曲面作为区分采用单筋或双筋梁设计之用。Using mathematics optimization theory and referring to the present design standard, this article conducts the research on the reinforced concrete rectangular beam which is under the ultimate strength condition. A design space surface is provided as a basis for selecting the optimal steel ratio in case of minimum cost design. The optimal reinforced ratios and effective depths of the cross sections of reinforced concrete rectangular beams are obtained which lead to a minimum cost design. A boundary steel ratio surface is suggested to distinguish singly and doubly reinforced design.

关 键 词：钢筋混凝土矩形梁 最优化设计曲面 最小成本设计 

分 类 号：TU311[建筑科学—结构工程]