墙下钢筋混凝土条形基础优化  

Optimum of reinforced concrete strip foundation under wall

作　　者：刘龙[1] 左宏亮[1] 王常青 

机构地区：[1]东北林业大学土木工程学院,黑龙江哈尔滨150040 [2]黑龙江省四方建设工程设计院,黑龙江哈尔滨150001

出　　处：《辽宁工程技术大学学报（自然科学版）》2014年第3期325-329,共5页Journal of Liaoning Technical University (Natural Science)

基　　金：黑龙江省自然科学基金资助项目(E201217);住建部2013年科学技术基金资助项目(2013-K2-4)

摘　　要：针对墙下钢筋混凝土条形基础常规设计方法在优选过程存在中的问题.通过建立基础造价最低的目标函数(基础总造价为混凝土总造价与钢筋总造价之和),确定满足基础底板抗弯强度及抗剪强度的约束条件,采用拉格朗日乘子法确定基础造价最经济时的基础高度和底板配筋,研究一种新的钢筋混凝土条形基础优化设计方法.结果表明:提出的钢筋混凝土条形基础的优化设计方法,不仅满足现行规范中的基础承载力要求,而且使基础造价最节约,达到安全经济的双重标准.这为墙下钢筋混凝土条形基础的优化设计提供一种新途径,据此可以编制出墙下钢筋混凝土条形基础优化设计程序,可以减少设计人员的工作量,将会产生较大的经济效益.According to the problems in the optimal selection of conventional design method of reinforced concrete strip foundation under wall, by establishing the objective function of the lowest cost of foundation （the total cost of foundation equals to the total cost of concrete plus the total cost of steel bar）, this paper determined the constraint condition of satisfying flexural strength and shear strength of foundation slab, calculated the height of foundation and floor reinforcement when the foundation cost is the most economical by using the Lagrange multiplier method, and studied on a new optimum design method of reinforced concrete strip foundation. The result shows that the optimum design method of reinforced concrete strip foundation proposed can not only meet the requirement of the foundation bearing capacity in current codes, but also make the foundation cost the most saving, which comes up to the double standard of both safety and economy. It provides a new approach of optimum design of reinforced concrete strip foundation under wall. Hereby, a program for the optimum design method of reinforced concrete strip foundation under wall can be developed, which not only can greatly reduce workload of designers, but also is expected to be able to achieve significant economical benefit.

关 键 词：条形基础 优化设计 拉格朗日函数 基础造价 抗弯强度 抗剪强度 基础高度 底板配筋 

分 类 号：TU471.12[建筑科学—结构工程]