Three-Dimensional Stability Analysis Of Vertical Shafts In Homogenous Soils

Presented is a rigorous solution for the three-dimensional stability analysis of vertical shafts (excavations) subjected to the self-weight of the soil based on the upper-bound theorem of limit analysis approach. A rigid-block translational collapse mechanism is assumed, with energy dissipation taking place along planar velocity discontinuities. This mechanism is optimized to obtain the critical failure mechanism giving the lowest factor of safety for stability of shafts. Based on comparisons with other solutions, the method is generally found to be accurate in predicting the stability of vertical cuts.