Prestressed anchor cables have been extensively utilized in slope reinforcement engineering. Combining limit analysis with the strength reduction method (SRM), this article presents a new method to assess the three-dimensional (3D) stability of slopes with prestressed anchor cables. Compared with traditional methods, the factor of safety (F_S) calculation method is modified by considering prestressed anchor cable reinforcement by applying a horn-like shape 3D rotational failure mechanism. To validate the proposed method, comparisons between unreinforced slopes and those reinforced with a row of anchor cables are carried out using optimization algorithms and procedures. The minimum width-to-height (B/H) ratio for which the slope can be analyzed using two-dimensional (2D) analysis under different F_S calculation accuracies is obtained. To evaluate the consequences of the model parameters, parametric analysis is performed, assessing the F_S sensitivity, 3D effects, anchor cable axial force, anchor position, anchor orientation, slope angle, internal friction angle, and cohesion on slope stability. Additionally, slope stabilities under the reinforcement of a row and multiple rows of anchor cables are compared and analyzed. The proposed approach can guide the design and evaluation of slope reinforcement with prestressed anchor cables.

预应力锚索在边坡加固工程​​中得到广泛应用。本文将极限分析与强度折减法 (SRM) 相结合，提出了一种评估预应力锚索边坡三维 (3D) 稳定性的新方法。与传统方法相比，通过应用喇叭状三维旋转破坏机制考虑预应力锚索加固，修改了安全系数 ( F _{S ) 计算方法。}为了验证所提出的方法，使用优化算法和程序对未加固的边坡和用一排锚索加固的边坡进行了比较。最小宽高比 ( B/H) 获得了在不同F _S计算精度下可以使用二维 (2D) 分析分析斜率的比率。为了评估模型参数的后果，进行了参数分析，评估了F _S灵敏度、3D 效果、锚索轴向力、锚固位置、锚固方向、倾斜角、内摩擦角和对边坡稳定性的粘聚力。此外，对单排和多排锚索加固下的边坡稳定性进行了对比分析。该方法可以指导边坡预应力锚索加固的设计和评价。