A special-purpose eye bolt of shank diameter d = 0.50 in. passes through a hole in a steel plate of thickness tp = 0.75 in. (see figure) and is secured by a nut with thickness t = 0.25 in. The hexagonal nut bears directly against the steel plate. The radius of the circumscribed circle for the hexagon is r = 0.40 in. (which means that each side of the hexagon has length 0.40 in.). The tensile forces in three cables attached to the eye bolt are T1 = 800 lb., T2 = 550 lb., and T3 = 1241 lb.
(a) Find the resultant force acting on the eye bolt.
(b) Determine the average bearing stress σb between the hexagonal nut on the eye bolt and the plate.
(c) Determine the average shear stress Ï„aver in the nut and also in the steel plate.

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Ti T2 30° 2r Cables Nut 30 Eye bolt T Steel plate