A horizontal bracket ABC consists of two perpendicular arms AB of length 0.5 m, and BC of

Question:

A horizontal bracket ABC consists of two perpendicular arms AB of length 0.5 m, and BC of length of 0.75 m. The bracket has a solid circular cross section with diameter equal to 65 mm. The bracket is inserted in a frictionless sleeve at A (which is slightly larger in diameter) so is free to rotate about the z0 axis at A, and is supported by a pin at C. Moments are applied at point C as follows: M1 = 1.5 kN m in the x-direction and M2 = 1.0 kN m acts in the ( - z) direction.
Considering only the moments M1 and M2, calculate the maximum tensile stress (t, the maximum compressive stress (c, and the maximum in-plane shear stress Tmax at point p, which is located at support A on the side of the bracket at mid height.