Concepts and equations have been developed to quantitatively determine stability of a rock-bolted coal mine roof as a structural (beam-arch) member consisting of reinforced rock units. The equations took into account rock-bolt tension, length, spacing, and orientation; size of opening; strength and physical properties of the rock; and loads from distressed rock. Using sensitivity analyses and the results from relevant previous analytical and physical model investigations, the equations were critically reviewed. It was concluded that the equations can essentially be validated by using small-scale physical models and the full size mine entry model at the Bureau of Mines Spokane Research Center.
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