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This paper analyzes the protective roof shelf as a continuous loaded carrier beam of rectangular cross section. In this case, the statically undetermined sizes are moments in the supports. Support moments are determined using the equation of 'three moments' by Clapeyron. Stress control in the carrier beam is carried out starting from the differential equation of elastic line that has a form per the second statement.

Bending moments and stress state in the protective roof shelf of exploitation field, left between different mining technologies