四边固支预制带肋底板混凝土双向叠合板的简化弹性计算方法  

Simplified Elastic Calculation Method of Precast Ribbed Panels Used for Concrete Two-way Composite Slab with Four Clamped Edges

作　　者：李金华[1,2] 黄海林 曾垂军[1] 张明亮[3] 黄曙 Li Jinhua;Huang Hailin;Zeng Chuijun;Zhang Mingliang;Huang Shu(School of Civil Engineering,Hunan University of Science and Technology,Xiangtan 411201,China;Wanyuan Construction Engineering quality and Safety Supervision Station,Wanyuan 636350,China;Hunan Construction Engineering Group Co.,Ltd.,Changsha 410004,China;Engineering Civil Air Defense Quality Supervision Station of Changsha,Changsha 410013,China)

机构地区：[1]湖南科技大学土木工程学院,湖南湘潭411201 [2]万源市建设工程质量安全监督站,四川万源636350 [3]湖南建工集团有限公司,湖南长沙410004 [4]长沙市人防工程质量监督定额管理站,湖南长沙410013

出　　处：《湖南科技大学学报（自然科学版）》2020年第2期33-43,共11页Journal of Hunan University of Science And Technology：Natural Science Edition

基　　金：湖南省自然科学基金青年基金资助项目(2018JJ3161);湖南省研究生科研创新资助项目(CX2017B640);湖南建工集团基础研究资助项目(JGJTK-2018003)。

摘　　要：阐述了预制带肋底板混凝土双向叠合板的工作特性,分析了当前工程设计中存在的问题.针对双向叠合板的正交构造异性特征,依据正交各向异性板理论,采用荷载叠加法,求解了均布荷载作用下四边固支双向叠合板挠度及弯矩的解析解.引入等效跨度比的概念,对双向叠合板的边长进行修正,将其简化为各向同性板来计算,提出了四边固支双向叠合板的简化弹性计算方法.举例介绍了按照四边固支双向叠合板的等效跨度比查用各向同性板弹性计算系数的线性插值法,并与级数解析方法对比,结果表明:2种方法的计算结果吻合良好,完全能够满足工程设计要求,该简化弹性计算方法准确可行.The working characteristics of the concrete two-way composite slab with precast ribbed panels was expounded,and the existing problems in the practical engineering design were analyzed.According to the structurally orthotropic characteristic of the two-way composite slab,the calculation formulas for the deflection and bending moments of two-way composite slab with four clamped edges under uniformly distributed load were solved by load superposition method and orthotropic plate theory.Through the introduction of the concept of equivalent ratio of span,lengths of two-way composite slab were modified,which was simplified as the isotropic cast-in-place slab to calculate,simplified elastic calculation method of two-way composite slab with four clamped edges under uniformly distributed load was presented.The linear interpolation method according to the equivalent span ratio of isotropic cast-in-place slab was introduced,and one example was given to compare with the analytical method of series.The results show that the calculated results of the two methods are in good agreement,the simplified elastic calculation method can completely meet the engineering design requirements,and is accurate and feasible.

关 键 词：双向叠合板 正交构造异性特征 四边固支 均布荷载 弹性计算方法 

分 类 号：TU313.1[建筑科学—结构工程]