In this paper is analyzed the plate structure in an underground mining operation, crown plate or plate composed of ore, plays an important role of stability of underground structure design. Is know that the stresses and strains are occurred by external forces which act on the surface of the solid body. Stress concentration and distribution in a plate composed of ore is occurred by continual loading of the rock mass block from the surface up to an analyzing point and is defined as vertical stress component also in the instability of the plates exploitation techniques have to be into consideration. Such stability analysis solution can not be obtained by closed form, common numerical methods are applied to such cases. Finite element method in a successful manner is applied in the solution of these problems of linear and nonlinear analysis. In this paper is analyzed a crown plate by rectangular geometry.