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基于影响面理论的无梁楼盖活载不利布置研究*
陈庆军1,2,彭章锋1,侯家建3,叶嘉彬1,何永鹏1
摘 要

(1 华南理工大学土木与交通学院, 广州 510641;  2 亚热带建筑科学国家重点实验室, 广州 510641; 3 恒大地产集团, 深圳 518000)

[摘要]通过SAP2000,基于影响面理论对无梁楼盖结构进行了活载不利布置的研究。分析采用了网格法和板带分块法,板带分块法在满足精度要求的基础上,计算效率提高了88-10%。研究结果表明,当活载与恒载设计值的比值η增大时,活载不利布置与满载下板带最大弯矩设计值的比值λ将增大。当η等于1-5时,柱上板带的最大λ达到1-35,跨中板带的最大λ达到1-63,因而需在结构设计中考虑λ的影响。对于等跨、规则平板结构,提出了可供工程简化计算的η-λ关系图表。在按满载对结构进行分析后,可参考该图表得到λ对满载弯矩进行放大,以考虑活载不利布置的影响。

[关键词]无梁楼盖; 影响面理论; 活载不利布置

中图分类号:TU312文献标识码:A文章编号:1002-848X(2019)15-0098-06

 

Study on unfavorable living load distribution of flat floor based on influence surface theory

Chen Qingjun1,2, Peng Zhangfeng1, Hou Jiajian3, Ye Jiabin1, He Yongpeng1

(1 School of Civil and Transportation Engineering, South China University of Technology, Guangzhou 510641, China;2 State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510641, China;3 Evergrande Real Estate Group, Shenzhen 518000, China)

Abstract:Based on the influence surface theory, the unfavorable live load distribution of flat slab structure was investigated by SAP2000. The grid method and strip block method were adopted in the analysis. The results show that strip block method can improve the computational efficiency by 88-10% on the basis of satisfying the accuracy specification in engineering. The results show that with the increase of the ratio η between live load and dead load, the ratio λ, the maximum bending moment of the strip, between unfavorable live load distribution and full load increases gradually. When η equals to 1-5, the maximum λ on column strip is 1-35, and the maximum λ on middle strip is 1-63, so it is necessary to consider the influence of λ in the structural design. For regular flat slab structures with equal spans, a η-λ relation chart for simplified engineering calculation is presented. After analyzing the structure according to the full load, λ can be obtained by referring to the chart to enlarge the bending moment of the full load in order to consider the influence of the unfavorable live load distribution.

Keywords:flat slab; influence surface theory; unfavorable live load distribution

 

*广东省自然科学基金资助项目(2017A030313263),华南理工大学亚热带建筑科学国家重点实验室自主研究课题项目(2018ZC11)。

 

作者简介:陈庆军,博士,副教授,Email: qjchen@scut.edu.cn。

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