(Solution) - Suppose that entries and crosscuts are 9 m wide and that -(2025 Original AI-Free Solution)

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Suppose that entries and crosscuts are 9 m wide and that pillars are square and 9 m wide, as in Problem 6.21. Laboratory properties are the same as in Problem 6.19; depth and specific weight of overburden are also the same as in Problem 6.19. In addition, a joint set is present in the mine. Joint set dip is 60?; dip direction is 45? clockwise from North.
(a) Find the joint shear strength necessary to just prevent joint slip within a typical pillar.
(b) If the joint is cohesion less and obeys a Mohr?Coulomb slip criterion, what joint friction
angle is needed to just prevent slip?
(c) If the joint is frictionless, what cohesion is necessary?