The article deals with computer modeling of rigid reinforcement in vertical shafts of various structures. Finite element models of typical multilink reinforcement (on the example of typical scheme K-2 of the design institute Yuzhgiproshakht), cantilever, cantilever-joint and block reinforcement schemes are constructed. As a result of the conducted research it has been established that slope-free reinforcement schemes with a significant reduction in the number of metal components provide the same and even higher hardness than typical structures. The areas of application and rational parameters of non-braced schemes of reinforcement used in cage and skip shafts with different intensity of hoisting are determined.