## 3 Analysis of Slope Model Test Results
### Bamboo Anchor Shift Force Variation Law  
As shown in Figure 14, the bamboo anchor rods are installed at an angle of 105 degrees with respect to the slope surface. The anchoring end is embedded within the slope, while the anchor head is connected to the wooden frame beam, forming an integrated support system. According to Formula (1), the normal stress on the cross-sectional area of the bamboo anchor rod is represented, where the axial force of the bamboo anchor rod is the cross-sectional area, and is the modulus of elasticity of the bamboo anchor rod. By employing Formulas (1) and (2), the axial force of the bamboo anchor rod can be determined as shown in Equation (3). \[\sigma=\frac{F_{N}}{S_{0}} \tag{1}\]  
\[E=\frac{\sigma}{\epsilon} \tag{2}\]  
\[F_{N}=E\epsilon S_{0} \tag{3}\]  
\[\text{Anchor bending moment}:\;M=EW\epsilon_{M} \tag{4}\]  
where \(W\) is the flexural section modulus of the bamboo anchor taken as \(\frac{3\pi d}{16}\), and \(\epsilon_{M}\) is \(\frac{1}{2}\) of the measured strain due to the bending moment using the half-bridge wiring method. The axial forces at various measurement points for Rod A and Rod B under different loading frequencies are illustrated in Figure 15. For Rod A, except at point A2 where it experiences compression, the other measurement points endure tension. Among these points, A4 exhibits the maximum tensile force, while A3 shows the minimum tensile force across all conditions. When the frequency escalates to 3 Hz, apart from points A2 and A3, the axial forces at the remaining points increase to varying degrees. However, with the frequency further increased to 4 Hz, the axial forces in Rod A slightly diminished instead. Figure 14: Bamboo anchor arrangement position. On the other hand, the overall axial force in Rod B is smaller than that in Rod A. Rod B experiences tension at all measurement points under loading, except for point B1, which transitions from tension to compression at 4 Hz loading. Throughout all conditions, B4 manifests the maximum tensile force among the measurement points for Rod B. As the loading frequency increases to 3 Hz, the axial forces at different points in Rod B increase to varying extents, with the most significant increment observed at point B4. However, when the loading frequency rises to 4 Hz, there is no noticeable change in the axial forces. The axial forces at various measurement points for Rod A and Rod B under different peak-to-peak loading conditions are depicted in Figure 16. In all scenarios, except at point A2, all measurement points for Rod A experience tension, with A4 exhibiting the maximum tensile force. When the peak-to-peak loading increases to condition 5, the axial force at A4 noticeably increases; however, with further increments in the peak-to-peak loading, the axial force slightly decreases. In comparison to Rod A, all measurement points for Rod B experience tension, with the axial force gradually increasing from the anchor head to the anchoring end until point B4, where it decreases. Notably, B4 exhibits the maximum tensile force. With the increase in the peak-to-peak loading, the axial forces in Rod B initially show a certain degree of augmentation, followed by a trend toward stabilization. The axial forces at various measurement points for Rod A and Rod B under different peak differential loading conditions are illustrated in Figure 17. For Rod A, except at  
Figure 16: Different upper and lower peak anchor shaft forces. Figure 15: Axial force of anchor rod with different loading frequency. point A2, all measurement points experience tension. The maximum axial force for Rod A is consistently observed at A4 in all conditions. The distribution pattern of axial forces along the rod reveals a trend where the force gradually decreases from the anchor head towards the anchoring end, initially exhibiting compression and then transitioning to tension, reaching its peak at point A4.