考虑固端内力的弹性地基梁内力计算方法  

Calculating Method of Internal Force of Elastic Foundation Beams Considering Fixed End Internal Force

作　　者：李华曦[1] 冷飞[1] 

机构地区：[1]河海大学土木与交通学院,南京210098

出　　处：《河南科学》2015年第10期1789-1793,共5页Henan Science

摘　　要：将地基梁单元细分,由弹性力学中的地基沉陷公式求得与细分后梁单元结点相对应的地基柔度矩阵,对柔度矩阵求逆得到地基刚度矩阵以形成总刚度矩阵;由梯形分布荷载作用下的梁单元固端剪力系数矩阵,建立由结点处地基集中反力求地基分布反力的关系式,形成考虑固端内力的半解析弹性地基上地基梁内力求解方法;开发程序并进行计算;结果表明,与不考虑固端内力的方法相比,该方法可修正剪力不连续的错误,并且更符合实际情况.Foundation beam elements were subdivided. The foundation flexibility matrix corresponded to subdivided beam element nodes were obtained by foundation settlement formula in elastic mechanic. The stiffness matrix was obtained by inversing the flexibility matrix, in order to obtain the total stiffness matrix. Relationship between distributed foundation reaction force and concentrated reaction force was developed by coefficient matrix of shear force at fixed end of beam under trapezoidal distributed load, and semi-analytical method for foundation beam on elastic foundations considering fixed end internal force was established. Program was developed and calculation was conducted. The result showed that, comparing to the method without considering fixed end internal force, this method could amend the error that the shear force was not continuous, and could correspond more to reality.

关 键 词：弹性地基梁 直接刚度 固端剪力 固端弯矩 

分 类 号：TU470.3[建筑科学—结构工程]