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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。
Assuming that the foundation is an elastic support with horizontal and vertical reaction force, the longitudinal and transverse coupling deformation of the elastic foundation beam is not considered, and the step-by-step calculation concept is introduced to derive the step-by-step calculation method to consider the horizontal frictional resistance. Firstly, the vertical displacement of a finite length beam under various vertical loads is analyzed, and then the horizontal displacement is obtained by establishing the geometric relationship between horizontal displacement and vertical displacement to obtain the vertical foundation reaction force and the horizontal frictional resistance as The load is applied to the elastic foundation beam to obtain the internal force and deformation of the foundation beam considering the horizontal frictional resistance. Finally, an example is given to compare and analyze the elastic foundation beam considering the horizontal frictional resistance. The results show that the stepwise calculation method can effectively consider The effect of horizontal frictional resistance on the finite length beam calculation of elastic foundations is simple, easy to calculate and can be used to calculate the elastic foundation beam.