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Original Paper

UDC 622.272:516.02 © S.V. Cherdantsev, A.Yu. Erastov, 2023

ISSN 0041-5790 (Print) • ISSN 2412-8333 (Online) • Ugol’ – Russian Coal Journal, 2023, № 2, pp. 34-40

DOI: http://dx.doi.org/10.18796/0041-5790-2023-2-34-40





Cherdantsev S.V.1, ErastovA.Yu.1

1Join-stock company "Scientific centre VOSTNII on industrial and ecological safety in mountain industry" (JC "NC VOSTNII"), Kemerovo, 650002, Russian Federation

Authors Information

Cherdantsev S.V., Doctor of Engineering Sciences, Chief Researcher, e-mail: svch01@yandex.ru

Erastov A.Yu.,Senior researcher e-mail: eractov_a_y@mail.ru


In order to prevent the spread of thermophysical and gas-dynamic processes in the mine atmosphere of coal enterprises, mine bridges are used. To date, there is a wide variety of designs of mine bridges and technological schemes of their construction. At the same time, the available methods for calculating jumpers, in our opinion, do not meet modern requirements for ensuring the reliability of mine jumpers. In this article, an attempt is made to calculate shaft jumpers based on the fundamental provisions of the mechanics of a solid deformable body. In particular, an axisymmetric boundary value problem of elasticity theory is considered, during the solution of which formulas for determining the components of the stress state in a shaft concrete bridge are obtained, graphs of stress components are constructed and some regularities of their distribution in the bridge are revealed.


Mining, Mine bridges, Stress state components, Generalized Hooke's law, Axisymmetric problem of elasticity theory, Hyperbolic functions and Bessel functions.


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The research is conducted as part of the comprehensive scientific and technical program of a complete innovative cycle "Development and implementation of a complex of technologies in the fields of exploration and extraction of minerals, ensuring of industrial safety, bioremediation, creation of new products of deep processing of coal raw materials with consecutive amelioration of ecological impact on the environment and risks to human life", approved by the Decree of the Government of the Russian Federation from 11.05.2022 №1144-r.

For citation

Cherdantsev S.V. & Erastov A.Yu. Mathematical modeling of the stress state in the shaft bridge installed in the development of a circular cross-section. Ugol’, 2023, (2), pp. 34-40. (In Russ.). DOI: 10.18796/0041-5790-2023-2-34-40.

Paper info

ReceivedDecember 12, 2022

Reviewed December 25, 2022

Accepted January 26, 2023


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