The aim of the paper is to select and substantiate stable shapes of crown pillars through determining regularities of rock pressure impacts on their stability depending on the crown shapes, mining depths and iron ore hardness.Methods. Stress and strain calculations are performed by the ANSYS 16.0 finite element analysis. Triangulation of the 3D model with a 2 m side is conducted to build stress and strain diagrams. In accordance with the conditions of the experiment, the models were created for horizontal, tent, arched and inclined stope crowns with the dip varying within a wide range. The assumed values of rock pressure on the ore massif conform to mining conditions of the Kryvyi Rih basin deposits at the depths of 1200 to 1700 m. Findings.The obtained values of maximum stresses in stope crowns were calculated in respect to mining depth, rock pressure, crown dip, iron ore hardness and relative curvature radius of the arched crowns. It was determined that vertical and inclined compensating rooms should be used in mining rich iron ores at great depths by sublevel caving systems. In case of the room-and-pillar systems used in mining rich iron ores at great depths, a key requirement is to apply tent and arched crowns which provide maximum stability under high rock pressure.Originality. The research proves that the integrated index of maximum stresses in crown pillars varies from -10 to +32 MPa at depths of over 1200 m and is in polynomial and logarithmic dependence on physical and mechanical properties of the ore mass. It also depends on the crown geometry and, in case of the arched crown, acquires minimal values allowing for stable crown pillar exposures at depths reaching 2000 m. Practical implications.The research results allowed to compile the methodological manual "Choice and substantiation of stable crown shapes in deep-level iron ore mining" for the underground mines of the PJSC "Sukha Balka" and "Rodina" mine of the PJSC "Kryvbaszalizrudkom".

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Purpose. To determine the qualitative composition of the equivalent material of a laboratory model representing Kryvyi Rih iron-ore basin ground, as well as to develop a method to determine its quantitative composition for the study of the rock mass stability in the laboratory conditions with the geometric scale of similarity 1:200. Methods.Laboratory studies on models with geometric scale of similarity 1:200 allowed to establish the dependence of the initial stress changes on the percentage of the components comprising the equivalent material. Findings.As a result, the study found that it is expedient in laboratory conditions to replace the full-size model by the sand and paraffin-based equivalent material consisting of granite chips, cast iron, silica sand, mica and paraffin wax. It was established that the quantitative composition of the equivalent material mixture simulating rocks of Kryvyi Rih iron-ore basin consists of cast iron and granite chips (34%) and silica sand, mica and paraffin (66%).Originality. For the first time, the empirical dependence of initial stress occurring in the equivalent material on the percentage of paraffin and iron has been set. Initial stress in the equivalent material depend directly on the amount of cast iron in the mixture and vary according to the polynomial dependence, and the amount of paraffin in the mixture varies according to the quadratic dependence. Practical implications.The obtained results of laboratory tests can be used with sufficient accuracy for physical modeling of processes occurring in rocks during underground mining, and the resulting values of modeling can be used in the design of stopes to be developed.

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