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1. A near horizontal 12 m-thick limestone deposit is to be mined using the room and pilar method. The design dimensions consist of 15 m-wide square pillars separated by 12 m- wide entry. The mining will take place in two stages by taking the upper 6 m first and then mining the lower 6 m. The mining depth and overburden specific weight values are given as H- 232 m and 0.0265 MN/m3, respectively. The constants for the linear pillar strength formula used for the design are given as K-40, A0.64 and B 0.36. Calculate the safety factor of the pillars for the following cases: i) first stage mining, ii) final layout, and ii) what if the room width was increased to 14 m but keeping the same extraction ratio (i.e., also increasing pillar width) for the final layout. Comment on the general rock mechanics stability by comparing the case (i) with case (i)
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