The study of the stress state in the ceilings and the related issue of determining their durable dimensions are still relevant in the mining industry. As is known, the stability of the ceiling is determined by the tensile stresses that occur in it, the greatest value of which is achieved on the production circuit. The magnitude of these stresses depends on the thickness of the ceiling, on the elastic properties of the roofing rocks, on the depth of the excavation, and other reasons...