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钢筋混凝土空间梁单元刚度矩阵研究
引用本文:黄荣杰,杜太生,宋天霞.钢筋混凝土空间梁单元刚度矩阵研究[J].华中科技大学学报(自然科学版),2007,35(3):116-118.
作者姓名:黄荣杰  杜太生  宋天霞
作者单位:1. 华中科技大学,机械科学与工程学院,湖北,武汉430074;南阳理工学院,机电工程系,河南,南阳,473006
2. 南阳理工学院,机电工程系,河南,南阳,473006
3. 华中科技大学,土木工程与力学学院,湖北,武汉,430074
基金项目:河南省杰出青年科学基金
摘    要:采用2个节点和7个自由度的形式描述钢筋混凝土(RC)空间梁单元的变形,进而导出梁单元应变矩阵B,并根据一般刚体计算公式得出RC梁单元刚度矩阵Ke.与此同时,考虑了三种情形下,即不考虑横向剪切、考虑横向剪切和考虑横向箍筋时的Ke的显式.实例证明箍筋能使承载力提高15%~20%.

关 键 词:钢筋混凝土空间梁单元  刚度矩阵  工程经济收益  钢筋  混凝土  空间梁单元  单元刚度矩阵  研究  beam  elements  spatial  concrete  reinforcement  matrix  承载力提高  箍筋  横向剪切  计算公式  刚体  应变矩阵  变形  形式描述  自由度  节点
文章编号:1671-4512(2007)03-0116-03
修稿时间:05 18 2006 12:00AM

Stiffness matrix for reinforcement concrete spatial beam elements
Huang Rongjie,Du Taisheng,Song Tianxia.Stiffness matrix for reinforcement concrete spatial beam elements[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2007,35(3):116-118.
Authors:Huang Rongjie  Du Taisheng  Song Tianxia
Institution:1. College of Mechanical Science and Engineering;2. College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China;3. Department of Mechanical Electricity Engineering, Nanyang Institute of Technology, Nanyang 473006, Henan China
Abstract:The element with two nodes and seven degrees of freedom was used to describe the deformation of reinforcement concrete spatial beam. The strain matrix B of the beam element was deduced. According to the equation of rigid body, the stiffness matrix of beam element was deduced. The explicit formulations of element stiffness matrix under three conditions were considered, that is, the explicit formulation ignoring the shear of cross direction, the explicit formulation considering the shear of cross direction and the explicit formulation considering the lateral tie. It is proved that the bearing capacity can increase by 15 %-20 % because of the effects of the hoop reinforcement.
Keywords:reinforcement concrete spatial beam element  stiffness matrix  engineering economic benefit
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