# Study of Load Calculation Models for Anti-Sliding Short Piles Using Finite Difference Method
## 6 Conclusions  
This paper performs a stress analysis of short anti-slide piles, formulates fundamental assumptions, and outlines boundary conditions. It derives the governing equations for deflection curves in both the load-bearing and embedded sections of short anti-slide piles, subsequently solving for the internal forces of the entire pile through a finite difference calculation model. Large-scale indoor model tests are carried out to confirm the reliability of the proposed method. The primary findings can be summarized as follows:  
1. Leveraging the Euler-Bernoulli beam theory, this study formulates a finite difference calculation model tailored for short anti-slide piles. Equation (10) enables the unified calculation of internal forces across the entire pile. This method obviates the requirement for intricate iterative computations between the load-bearing and embedded sections while relying on continuous conditions, thereby markedly enhancing computational efficiency.
2. Both experimental and calculated data demonstrate that short anti-slide piles undergo three discernible stages of displacement variation when subjected to identical loading conditions. The distribution of bending moments along the pile follows an \"S\" shape, with the maximum bending moments occurring in proximity to the sliding surface. Simultaneously, shear values peak at the sliding surface, while they attain zero values at positions corresponding to maximum positive and negative bending moments. These observations suggest that short anti-slide piles effectively strengthen the soil in the vicinity of the sliding surface.
3. The finite difference calculation model is utilized to independently compute displacements, bending moments, and shear values, subsequently subjecting them to comparison with experimental data. The observed discrepancies fall within an acceptable range, affirming the reliability and precision of the calculation model introduced in this paper. This novel approach offers a rapid method for determining the internal forces across short anti-slide piles. The study underscores the significance of the stress analysis model for short anti-slide piles in advancing sustainable engineering practices. It furnishes insights into the stress state and distribution patterns of short anti-slide piles, thereby providing valuable references for geological disaster prevention and control, as well as the promotion of sustainable engineering practices.  
Methodology, Z.S.; Investigation, K.W.; Writing--original draft, Y.R.; Writing--review & editing, X.L. All authors have read and agreed to the published version of the manuscript.  
This work is financially supported by the Basic Research Program of Natural Sciences of Shaanxi Province (Grant No. 2022 JM-280), Science and Technology Innovation Project of Shaanxi Province (Grant No. 2016 KTZDSF04-05-04).  
Not applicable.  
All data used during the study appear in the submitted article.  
The authors thank Chang'an University Geohazard Simulation Test Hall for providing the test site and technical support.  
The authors declare no conflict of interest.