Evaluation method for elastic foundation coefficient of finite downslope soil against loading segment of stabilizing piles

In order to determine the evaluation method of lateral elastic foundation coefficient of the finite soil mass against the loading pile segment, based on the proportion coefficient of the foundation coefficient of the corresponding infinite soil mass, the laterally loaded beam-on-elastic-foundation method for a stabilizing pile is adopted in combination with the upper bound limit analysis method under the consideration of the internal forces and deformation continuity of the whole pile element. Thus, a calculation method for the proportion coefficient of the lateral elastic foundation coefficient of the finite soil mass is provided. The relationship between the proportion coefficient with the slope angle of the finite soil mass is determined. The proposed method is verified by numerical simulation method for a practical example. In the case of various physical and mechanical parameters of soil mass and stabilizing pile, analysis results of the example show further that the proportion coefficient decreases nonlinearly with the increase in the slope angle of the local soil. Also, the length of embedded segment (below the slip surface) and the size of cross section of stabilizing piles, cohesion, internal friction angle, and unit weight of the local soil have effects on the proportion coefficient. But the influence of the unit weight is minor, other factors have significant positive correlations with the proportion coefficient.