A rectangular shaft 10 ft wide by 20 ft long is sunk vertically in ground where the
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A rectangular shaft 10 ft wide by 20 ft long is sunk vertically in ground where the state of premining stress is σxx = 1,141, σyy = 2,059, σzz = 1,600, τxy = 221, τyz = 0, τzx = 0, with compression positive, x=east, y=north, and z =up, in psi. Rock properties are: E = 4.5 × 106 psi, v = 0.20, Co = 15,000psi, To = 900 psi. 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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