A rectangular shaft 3 m wide by 6 m long is sunk vertically in ground where the

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A rectangular shaft 3 m wide by 6 m long is sunk vertically in ground where the state of premining stress is σxx = 7.9, σyy = 14.2, σzz = 11.0, τxy = 1.5, τyz = 0, τzx = 0, with compression positive, x=east, y=north, and z =up, in MPa. Rock properties are: E = 31.0GPa, v = 0.20, Co = 103 MPa, To = 6.2 MPa. Find 

(a) The most favorable orientation of the shaft and 

(b) The safety factors in this orientation. Indicate by sketch where the peak stresses occur in cross section.

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