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煤壁片帮破坏面是由煤壁内部一些点处的弱面相互连接所组成,基于煤壁受力状态对片帮深度内各点的应力状态进行分析,得出片帮深度内各点处的弱面与竖直方向夹角的表达式以及各点处的弱面在水平方向的投影与在竖直方向投影的相互关系式,以此得出计算片帮深度的微分方程。据此利用基于压杆理论所得出的片帮位置算出煤壁片帮深度,最终对开采厚度一定时片帮深度的影响因素进行分析。研究表明:煤体的内摩擦角越大,片帮深度越小;煤体与顶底板的摩擦因数越大,深度越小;煤壁的片帮距底板距离越小,煤壁的片帮深度越大;煤壁片帮的破坏面为一圆滑的曲面。
The failure surface of the coal wall slab is composed of the weak surfaces connected to each other at some points inside the coal wall. Based on the stress state of the coal wall at each point in the slab depth, the stress state at each point within the slab depth is obtained, The expression of the angle between the weak surface and the vertical direction and the projection of the weak surface at each point in the horizontal direction and the projection in the vertical direction to derive the differential equation for calculating the depth of the slab. Based on this, the depth of the coal wall slab is calculated based on the position of the slab obtained from the bar theory, and finally the influencing factors of the slab depth for a certain mining thickness are analyzed. The results show that the larger the internal friction angle of coal is, the smaller the depth of slab is. The larger the friction coefficient between coal and roof and floor is, the smaller the depth is. The smaller the distance between coal slab and slab is, The larger; the destruction of coal wall to help a smooth surface of the surface.