摘要
针对如何节省钢材的问题,提出优化钢筋混凝土框架结构单位面积配筋量的方法.主要技术路线是探索板、梁尺寸及柱数目变化对构件内力分布和配筋量的影响.具体内容是将一个纵、横向长度给定的矩形建筑进行纵向长度均匀网格划分(每个网格线交点设有一根柱子),每种划分得到n个面积相同的网格.一般随着n的增大板配筋变小,梁与柱的配筋则增加,n将存在一个数值,使板、梁和柱的总体配筋量达到极值.模拟一层钢筋混凝土框架结构,分别对板、梁、柱的配筋进行配筋公式推导,得到n与三个构件配筋体积V的函数关系,并进一步转换成单位面积配筋量m与n的关系.以n为优化变量,利用Matlab获得函数变化及最小值,最后通过具体案例进行了演示.
In order to save the usage quantity of steel, a method of optimizing the steel quantity for per unit area of reinforced concrete frame structure was proposed. The main technical route was to explore the influence of the size of both slabs and beams as well as the number variation of columns on the internal force distribution and steel quantity of components. The uniform mesh division for the longitudinal length was conducted for a rectangular building with the given longitudinal and transverse length, where each mesh node was equipped with a column. And thus, n meshes with the same area were obtained from each mesh dividing. Generally, with increasing n, the steel quantity of slabs will reduce, while that of both beams and columns will increase. Therefore, there exists an n value which can make the total steel quantity of slabs, beams and columns reach the extreme values. A layer of reinforced concrete frame structure was simulated, and the formulas for the steel quantity of slabs, beams and columns were derived. Moreover, the function relationship between n and steel volume V of three components was obtained, which could be further converted into the relationship between the steel quantity m for per unit area and n. Through taking n as the optimization variable, the function change and the minimum value were attained with Matlab. Finally, the demonstration was performed through the typical example.
出处
《沈阳工业大学学报》
EI
CAS
北大核心
2014年第2期230-234,共5页
Journal of Shenyang University of Technology
基金
教育部博士点基金资助项目(2011D0-0014)
石家庄学院博士科研启动基金项目(13BS012)
关键词
钢筋混凝土
框架结构
网格划分
承重构件
板
梁
柱
配筋量
reinforced concrete
frame structure
mesh division
load-bearing element
slab
beam
column
steel quantity
