Targ S.M. 1988 C2 option 99

Fig.9 sr.9
Homogeneous rectangular plate weighing P = 5kN with sides AB = 3L; BC = 2L; fixed at point A by a spherical hinge, and at point B by a cylindrical hinge (bearing) and held in balance by a weightless rod CC ´. A pair of forces with a moment M=6kNm, lying in the plane of the plate, and two forces act on the slab. Determine the reaction of bonds at points A, B and C. When calculating, take L = 0.8 m.
Given: E: F₂ = 6kN; α₂ = 90 °; D: F₃ = 8kN; α₃ = 30 °.