Abstract

Purpose. Estimation of stability of a roof of a steep coal seam in the coal massif for maintenance of an operational condition of mine workings. Methods. To achieve this goal, analytical studies were performed using the basic principles of classical mechanics, the theory of elasticity and resistance of materials, when the roof of the coal seam was studied in the form of a model of a beam with a support. Results. As a result of the performed researches it is established that for an inclined single-girder beam with supports, at any regularity of distribution of loading on a surface the maximum deflection around the middle of span within (0,48 – 0,579) length of a beam is fixed. The value of the maximum deflection of the deformed load-bearing element depends on the angle of inclination and the ratio of the linear dimensions of the simulated beam. The curved axis is not perfectly symmetrical about the middle of the beam. The deviation from the symmetry depends on the linear dimensions of the model, the angle of inclination and is determined by the direction of the vector of total displacement of the beam. The deviation from the symmetry depends on the linear dimensions of the model, the angle of inclination and is determined by the direction of the vector of total displacement of the beam. The area in which the loss of stability of the load-bearing element is possible, occupies about 10% of the length of the inclined beam. In the presence of an asymmetrical deflection, to avoid loss of stability of the model, the placement of the system of supporting supports is advisable in this area of the beam. Scientific novelty. For the roof of a steep coal seam in its modeling in the form of an inclined single-girder beam with supports, when the external load is distributed on the surface naturally, the direction of the vector of complete displacement of the loaded model determines the contour of the curved axis of the deformed load-bearing element. Practical significance. The stability of the lateral rocks of the steep coal seam, which determines the operational condition of the mine workings in the coal massif, is provided by a system of supporting supports, the deformation characteristics of which are determined by the predicted deflection of the roof in the produced space. Keywords: stability, lateral rocks, coal massif, mining, deflection, supporting support.

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