钢筋混凝土连续板徐变收缩效应的解析方法  

Analytical calculation method for creep and shrinkage effect of reinforced concrete continuous slabs

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作  者:杨应恩 韩春秀 刘有菊 YANG Yingen;HAN Chunxiu;LIU Youju(School of Engineering and Technology,Yunnan Baoshan University,Yunnan Baoshan 678000,China;Department of Physics and Civil Engineering,Yunnan Minzu University,Kunming 650504,China)

机构地区:[1]保山学院工程技术学院,云南保山678000 [2]云南民族大学物理与土木工程系,云南昆明650504

出  处:《西安建筑科技大学学报(自然科学版)》2024年第4期502-511,共10页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基  金:国家自然科学基金(52068068,51708486);保山学院自然科学研究项目(ZKJC202001)。

摘  要:在钢筋混凝土梁板结构中,混凝土板的徐变和收缩会使次梁产生梁间荷载增量,导致次梁的梁间荷载发生变化.计算这种梁间荷载增量的关键在于求解出连续板的徐变收缩重分布支反力,因此,提出一种分析钢筋混凝土连续板内力及支反力时变规律的解析方法,分别导出徐变和收缩各自影响下钢筋混凝土连续单向板次内力和次反力的解析公式.根据导出的公式编写Matlab计算程序,对一个连续单向板算例进行分析.结果表明:混凝土徐变对梁间荷载的改变无贡献,而混凝土收缩将使板底次梁产生额外的梁间荷载,其大小与次反力相等,且与楼板配筋率有关.采用该方法可较方便地计算出连续板的徐变收缩次内力,预估收缩导致的梁间荷载增量,公式推导建立在清晰的力学基础之上,是对连续板梁结构长期力学效应计算的一种有效补充.In the reinforced concrete beam-slab structure,the creep and shrinkage of the concrete slab will cause the load increment on secondary beams,resulting in the change of the load on secondary beams.The key to calculate the load increment between beams is to solve the creep and shrinkage redistribution reaction force of continuous slabs.Therefore,an analytical method for analyzing the time-varying law of internal force and support reaction force of reinforced concrete continuous slabs is proposed in this paper,the analytical formulas of secondary internal force and secondary reaction force of reinforced concrete continuous one-way slabs under the influence of creep and shrinkage are derived respectively.According to the formulas,a MATLAB calculation program is compiled,and an example of a reinforced concrete continuous one-way slabs is analyzed by using this program.The results show that concrete creep has no contribution to the change of inter-beam load,while concrete shrinkage will cause additional inter-beam load on the secondary beam at the bottom of the slab,which is equal to the secondary reaction force and related to the reinforcement ratio of the slab.The creep and shrinkage secondary internal force of the continuous slabs can be calculated expediently,and the load increment on beams caused by shrinkage in the slab-beam structure can be estimated by using this method.The formula derivation is based on clear mechanics,which is an effective supplement to the calculation of long-term mechanical effects of continuous slab-beam structure.

关 键 词:钢筋混凝土梁板结构 连续单向板 收缩徐变 次反力 梁间荷载增量 

分 类 号:TU375.2[建筑科学—结构工程]

 

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