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This paper proposes a new method for calculating arch support with grouted space behind the support. The analysis of existing installations and methods for the calculation of frame supports was made. It has been established that the existing methods of frame parts calculation do not take into account the presence of grouted space behind the support. It is proposed to take into account the presence of the grouted layer in the space behind the support when it interacts with the rock mass. The formation of partially disturbed rock adjacent to the grouted layer is taken into account in the behaviour of rocks. In this method, the arch support is replaced with a ring support. The finite element method establishes the reduced dimensions of the ring support and its module of linear deformations, corresponding to these values of the arch support when its bearing capacity is lost. The scheme for calculating arch support ultimately boils down to considering the interaction of the support, the grouted layer, the zone of partially destroyed rocks and the rest of the mass of intact rocks in the hydrostatic field of rock pressure.

Justification of the Calculation Method for Arch Support with Rock Grouting