环形混凝土截面压弯承载力逆算法的解析解  

Analytical Solution of Inverse Algorithm for Compressive and Flexural Bearing Capacity of Annular Concrete Section

作　　者：章胜平[1] 陈旭 兰树伟 ZHANG Shengping;CHEN Xu;LAN Shuwei(Faculty of Civil Engineering&Mechanics,Kunming Univ.of Science&Technology,Kunming 650504,China;Faculty of Civil Engineering&Architecture,Kunming Univ.,Kunming 650214,China)

机构地区：[1]昆明理工大学建筑工程学院,昆明650504 [2]昆明学院建筑工程学院,昆明650214

出　　处：《三峡大学学报（自然科学版）》2022年第6期82-88,共7页Journal of China Three Gorges University：Natural Sciences

基　　金：国家自然科学基金(51868034);云南省地方本科高校基础研究联合专项资金青年项目(202101BA070001-003)。

摘　　要：为精确计算环形混凝土截面压弯承载力,采用由极限状态所有可能应变直接计算内力的逆算法.逆算法进一步分为数值法和解析法,数值法用来验证解析法.基于抛物线-矩形本构,计算内力再反算等效矩形应力参数解析解.解析解考虑了拉弯、纯弯和压弯所有可能的受力,以及混凝土受压边缘应变小于极限值、钢筋未屈服的极限状态.基于解析解,得到环形混凝土截面均匀、非均匀、对称、非对称配筋压弯承载力计算的统一电算方法.结果表明:非矩形受压区截面设计参数选择应力参数和力臂参数,应用更简单;按照不同受力的可能应变计算,设计参数不是常量,应力参数从0变化至1,力臂参数约为0.4.In order to accurately calculate the compression and bending bearing capacity of annular concrete section, the inverse algorithm is adopted to directly calculate the internal force from all possible strains in the limit state. The inverse algorithm is further divided into the numerical method and the analytical method, and the numerical method is used to verify the analytical method. Based on the constitutive equation of parabola-rectangle, calculates the internal force and then calculates inversely the analytical solutions of the stress parameters of equivalent rectangle. The analytical solutions consider all possible forces of tension bending, pure bending and compression bending, and the limit state that the compressive edge strain of concrete is less than the limit value and the steel bars are not yielding. Based on the analytical solutions of equivalent rectangular stress parameters, a unified computer method for calculating the flexural capacity of circular concrete with uniform, non-uniform, symmetric and asymmetric reinforcement is obtained. The results show that if stress parameter and moment arm parameter are taken as the design parameters of non-rectangular compression zone section, the design and use are intuitive;According to the possible strain calculation under different forces, the design parameters are not constant, the stress parameters change from 0 to 1, and the moment arm parameters are about 0.4.

关 键 词：环形混凝土截面 电算方法 解析解 设计参数 逆算法 

分 类 号：TU318[建筑科学—结构工程] U441[建筑科学—桥梁与隧道工程]