According to the characteristics of the multilayer ore mining, stope roof is assumed to be a simply supported beam, combined with rock beam theory, material mechanics theory, rock mechanics knowledge, the equation between the maximum tensile stress of roof and the thickness of the above rock strata is deduced. According to this,it comes to that rock on the roof and its adjacent seam has an effect on the stability of the roof. In addition, this paper obtains the limited span of strata roof with its formula,and determines to put the limited span as the stabilization basis.%针对多层矿开采的特点,将采场顶板岩层假设为简支梁,结合岩梁和材料力学理论、岩石力学知识,推导出顶板最大拉应力与其上方岩层厚度之间的关系式,据此得顶板岩层与其相邻的矿层厚度比对顶板稳定性的影响.此外由采场层状顶板的跨距计算方式,得到其极限跨距并作为判断顶板稳定的依据.
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