混凝土矩形截面梁经济配筋率与造价探讨分析  

Economical reinforcement ratio and cost of rectangular section reinforced concrete beams

作　　者：刘相[1] 

机构地区：[1]辽东学院城市建设学院,辽宁丹东118003

出　　处：《辽东学院学报（自然科学版）》2017年第2期129-140,153,共13页Journal of Eastern Liaoning University:Natural Science Edition

基　　金：辽宁省教育厅科技研究项目资助(L2015187);辽东学院青年基金项目(2016QN003)

摘　　要：文章以钢筋混凝土单筋矩形截面梁为研究对象,在考虑材料价格的基础上以其单位长度的最低造价为目标函数。采用基于应变协调条件和钢筋混凝土梁正截面承载力的计算方法,利用拉格朗日函数推导出了经济配筋率的合理表达式。并在推导出的经济配筋率表达式的基础上,通过其在满足相应钢筋级别和混凝土强度等级所对应的最大与最小配筋率范围的约束条件下,给出了存在经济配筋率的前提下相应的钢筋价格与混凝土价格比值的范围,并且通过算例的计算分析来验证了文章提出的方法,可供工程人员参考。The reinforcement ratio and cost of single reinforcement rectangular section reinforced concrete beams were studied.The least unit length cost Was selected as the oective function by considering the material cost.According to the strain coordination conditions and the calculation meth Od Of cross-sectional flexural bearing capacity of reinforced concrete beams,the expression of the economical reinforcement ratio Was derived with Lagrange function.Furthermore.under the constraint condition of the maximum and minimum reinforcement rmio that can meet the corresponding reinforcement grade and reinforced concrete strength,the range of the prices of reinforcement and reinforced concrete that meets the economical reinforcement ratio Was obtained.Finally,the method was verified bv an example.

关 键 词：钢筋混凝土梁 经济配筋率 拉格朗日函数 钢筋价格 混凝土价格 

分 类 号：TU375.1[建筑科学—结构工程]