A special-purpose eye bolt with a shank diameter d = 11 mm passes through a hole in a steel plate of thickness t-20 mm (see figure) and is secured by a nut with thickness t = 6 mm.  The hexagonal nut bears directly against the steelplate.  The radius of the circumscribed cirele for the hexagon is r = 13 mm, so each side of the hexagon has a length 10 mm.  The tensile forces in three cables attached to the eye bolt are T1 = 3000N, T2 = 2500N, and T3-4000N.  a) Find the resultant force acting on the eye bolt.  b) Detemine the average bearing stress (o,) between the hexagonal nut on the eye bolt and the plate.  c) Detemine the average shear stress (Tave) in the nut and also in the steel plate.  cot Area: A = 2 n: Number of sides Cables b: Length of side Eye bolt Steel plate Hexagon a.  Shear through nut: Tnut = 22.1 Mpa, Shear through plate: lpl = 3.83 Mpa O b.  Shear through nut: Tnut = 22.1 Mpa, Shear through plate: Tpl = 2.83 Mpa C. Shear through nut: Tnut = 15.1 Mpa, Shear through plate: Tpl = 2.53 Mpa