Targ S.M. 1988 C2 variant 94

Homogeneous rectangular plate weighing P = 5kN with sides AB = 3L; BC = 2L; fixed at point A with a spherical hinge, and at point B with a cylindrical hinge (bearing) and held in equilibrium by the weightless rod CC ´. A pair of forces with a moment M = 6 kNm, lying in the plane of the plate, and two forces act on the plate. Determine the bond reactions at points A, B and C. When calculating, take L = 0.8m.
Given: E: F₁ = 4kN; α₁ = 0 °; H: F₃ = 8kN; α₃ = 60 °.