Abstract
Analytical solution to the roof bending deflection is the key to conduct the stability evaluation and risk prediction of the shallow mined-out areas. The engineering mechanics model of the roof was built through the generalization engineering model of the practical shallow mined-out areas. Based on Reissner's thick plate theory, the roof bending deflection with mixed boundary conditions under uniform load was analyzed through the reciprocal theorem method. The function of roof bending deflection was derived and the analytical solution was verified by the numerical solution. Then, a comparative analysis was conducted for the difference characteristics of roof bending deflection with mixed boundary conditions and simply-supported boundary conditions.
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