基于牛顿-拉普森方法的偏压混凝土构件设计  

The Design of Biased Concrete Member Based on Newton-Raphson Method

作　　者：高晗 GAO Han(Beijing Urban Construction Design&Development Group Co.,Limited,Beijing 100037,China)

机构地区：[1]北京城建设计发展集团股份有限公司,北京100037

出　　处：《工程技术研究》2024年第18期158-161,共4页Engineering and Technological Research

摘　　要：在传统混凝土受压构件设计中,对构件截面受力列平衡方程时会产生一元三次方程,相对受压区高度计算通常采用规范中的简化计算方法,这一方法对受压构件的截面受力平衡方程进行了简化,以便工程师手算求解该平衡方程,从而获得相应的混凝土相对受压区高度和受压钢筋配筋量。随着时代的发展,计算机计算逐渐取代手算方法,成为结构工程的主要分析手段。在程序算法领域,传统手算的近似解、经验解也可以通过程序算法的改进获取精确解。因此,文章介绍了牛顿-拉普森方法在混凝土偏心受压构件计算中的应用,以供参考。In the design of traditional concrete compression members,a cubic equation with one unknown will be generated when the equilibrium equation of the section force of the member is listed.The simplified calculation method in the code is usually used to calculate the height of the relative compressive zone.This method simplifies the section force equilibrium equation of the compression member,so that the engineer can solve the equilibrium equation by manual calculation to obtain the corresponding height of the concrete relative compressive zone and the reinforcement quantity of the compression steel bar.With the development of the times,computer calculation has gradually replaced the manual calculation method and become the main analysis method of structural engineering.In the field of program algorithm,the exact solution can also be obtained through the improvement of program algorithm from the approximate solution and empirical solution of traditional manual calculation.Therefore,this paper introduces the application of Newton-Raphson method in the calculation of concrete eccentric compression members for reference.

关 键 词：混凝土构件 偏心受压构件 小偏压构件 牛顿-拉普森方法 学科交叉编程 

分 类 号：TV544[水利工程—水利水电工程]