Abstract:The existing literature has not yet conducted research on the three-dimensional ultimate bearing capacity of inclined soil nail-supported slopes and the reliability of inclined soil nail-supported slopes considering the randomness of geotechnical strength parameters. Under this background, firstly, taking the upper limit method of limit analysis as the framework and leveraging the particle swarm optimization algorithm, the three-dimensional ultimate bearing capacity at the top of inclined soil nail-supported slope and corresponding instability surfaces are determined to evaluate the three-dimensional stability of inclined soil nail-supported slopes, and then the obtained results are compared with the results of numerical simulation to verify the effectiveness of the proposed models. Finally, with the help of statistical results of on-site measurements and geological exploration data of a slope, a reliability analysis model of inclined soil nail-supported slope is constructed to obtain the reliability index and the instability probability of the slope. The study result shows that the slope engineering satisfies the design requirements.