弹性抗滑桩锚固段内力计算的反力荷载法

COUNTER FORCE LOADING METHOD FOR INTERNAL FORCE CALCULATION IN ANCHORED SEGMENT OF ELASTICANTI-SLIDING PILE

传统的抗滑桩锚固段内力计算是将锚固段视为Winkler弹性地基梁,以幂级数解法为基础,采用地基系数“m”法或“K”法,通过查表得到桩身内力,计算过程较为繁琐,且受表中各系数的截断误差的影响,常使内力计算结果存在一些偏差。以地基系数“m(K)”法的有限差分法是一种较为理想的方法,但需通过迭代计算,且分段数较多。本文基于地基系数“m(K)”法推导了抗滑桩锚固段内力计算的反力荷载法计算公式,提出了计算精度控制方法;较之于有限差分法,本文方法无需迭代计算,具有分段数少的特点;编写了全桩内力计算和图形处理程序;计算实例表明,与传统方法相比,可有效提高抗滑桩内力分析效率和计算精度,有利于抗滑桩结构的优化设计。

The anchored segment of anti - sliding pile is often assumed as the Winkler elastic subgrade beam for internal force calculation. Based on the power series solution, the traditional foundation coefficient ＂ m ＂ or ＂ K ＂ method is applied by using the calculation tables. The calculation procedure is complicated and errors can take place easily because of cut off errors of the coefficients in the tables. Finite difference method is a rational method, but needs the iteration and test calculation methods and more segment number. Based on the foundation coefficient ＂ m（k） ＂ method, this paper derives the counter force loading calculation formula to analyze internal forces of anchored segment. Compared with the finite difference method, the present method has less segment number and does not need the iteration and test calculation method. The method of controlling its calculation precision is proposed. The calculation program of internal forces for a whole pile is designed. An example is given and shows that this proposed method can improve the calculation efficiency of internal forces of anti - sliding pile and its precision effectively. It can advantage the optimization design for the structure of anti - sliding piles.