Variational Solutions for the Problem of Arching in Rock Soils

Variants of solving the problem of collapse arch pressure on the support of an underground work by variational methods are presented. Ritter’s scheme is used as a basis. The interaction between the collapse arch and surrounding soil mass is described based on the “passport” of strength characteristics for rock soil. Most of the solutions are given in closed form. The numerical calculation results obtained by the limit analysis method for the maximum pressure on support in rock soil are close to the theoretical values.