Question: Consider an underground limestone mine in flat strata where pillars are 95 ft high and depth is 845 ft. Rock properties are: E = 11.3

Consider an underground limestone mine in flat strata where pillars are 95 ft high and depth is 845 ft. Rock properties are: E = 11.3 million psi, v = 0.20, Co = 21, 500 psi, To = 1, 680 psi, unit weight = 156pcf. A joint set of variable dip pervades the mine. Mohr–Coulomb properties are: c = 630 psi, φ = 40◦. Pillars must have a safety factor of 2.5 with respect to any potential failure mechanism. Is this possible? Show why or why not.

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