考虑水平摩阻力的弹性地基有限长梁分步计算方法

FRACTIONAL-STEP CALCULATION METHOD FOR FINITE LENGTH ELASTIC FOUNDATION BEAM CONSIDERING THE EFFECT OF HORIZONTAL FRICTIONAL RESISTANCE

  • 摘要: 假定地基为具有水平和竖向反力的弹性支撑体,不考虑弹性地基梁的纵横向耦合变形,引入分步计算概念导出考虑水平摩阻力的分步计算方法。即首先分析各种竖向荷载作用下有限长梁的竖向位移,然后建立水平位移和竖向位移的几何关系求得水平位移,从而得到竖向地基反力和水平摩阻力,并将其作为荷载施加于弹性地基梁,进而获得考虑水平摩阻力作用的地基梁内力和变形,最后结合算例对考虑水平摩阻力的弹性地基梁进行了比较分析,其结果表明,分步计算法能有效考虑水平摩阻力对弹性地基有限长梁计算的影响,且思路简单,易于计算,可用于弹性地基梁计算。

     

    Abstract: The subgrade is assumed to be a hinge-spring system with horizontal and vertical reactions and the vertical-horizontal coupling distortion of an elastic foundation beam is not considered, then the fractional-step calculation method considering the horizontal frictional resistance is put forward with the fractional-step calculation conception introduced. Namely, the first is the analysis of the vertical displacement of a finite length beam under all kinds of vertical loads. Then with the relationship between horizontal and vertical displacements established, the horizontal displacement is obtained. Thus the vertical subgrade reaction and horizontal frictional resistance are obtained and applied to the beam as loads so that the internal force and displacement of the beam can be calculated. Lastly, with the examples for calculations, the comparative analysis of the elastic foundation beam considering the horizontal frictional resistance is obtained. The results show that the effect of the horizontal frictional resistance can be considered effectively in the fractional-step calculation method. The method is simple and easy to calculate and it can be used for the calculation of elastic foundation beams.

     

/

返回文章
返回