Question: With reference to the sketch, suppose the joint cohesion is zero while the friction angle is 35?. If the force per bolt is 12,000 pounds

With reference to the sketch, suppose the joint cohesion is zero while the friction angle is 35?. If the force per bolt is 12,000 pounds (53.8kN) and the area of influence of a bolt is 4 ft2, find: (a) The unbolted joint safety factor, and (b) The bolted joint safety factor at the optimum angle. Note: The stress state before bolting is a horizontal compression of 648 psi (4.5 MPa). Joint angle is 30?.

Bolt Joint Joint normal A Rock line K = joint cohesion 4

Bolt Joint Joint normal A Rock line K = joint cohesion 4 = joint friction angle F = bolt force A = rock area influenced by the bolt x = angle from roof line to joint normal B = angle from roof line to bolt %3D

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