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 engineer model in practically shallow mined-out areas. Based on Reissner’s thick plate theory, the roof bending deflection with mixed boundary conditions under uniform load was analyzed by the method of reciprocal theorem. The function of roof bending deflection was achieved and the analytical solution was verified by the numerical solution. Besides, a comparative analysis was conducted for the different characteristics of roof bending deflection with mixed boundary conditions and simply-supported ones.
Wang, Shuren and Wang, Zhongqiu
"Analytical Solution to the Roof Bending Deflection with Mixed Boundary Conditions under Uniform Load,"
Applied Mathematics & Information Sciences: Vol. 07
, Article 21.
Available at: https://dc.naturalspublishing.com/amis/vol07/iss2/21