2025 Volume 81 Issue 2 Article ID: 24-00189
The transition of stress in the transition zone taking into account the self-weight in the slip line method based on the theory of plasticity has been clarified in the existing literature by deriving the characteristic equation. However, this problem remains unsolved due to the complexity of the mathematical treatment and finite difference methods are used to obtain the solution. Furthermore, many fundamental issues remain unsolved, such as boundary value problems and the geometry of slip lines.
In this paper, these problems were solved by first the shape of the slip was formulated, the process of stress transition from the active zone to the passive zone was logically interpreted, and a new method was proposed for calculating the bearing capacity. In addition, a bearing capacity calculation formula was derived that can simultaneously take into account inclined loads, slope gradients, and seismic forces. Finally, the formula in this paper was compared with existing bearing capacity calculation formulas and its validity was confirmed.