Consider the below given beam which is in static equilibrium by a pin joint at point A and a roller support at point D. Based on the loading on the beam (no load/force is applied along the x-direction), given shear force and bending moment diagrams are obtained. y A B C 2 m 2 m 2 m V (kN) X 2 4 6 x (m) -2 M (kN-m) 8 4 2 6 x (m) (a) Assuming no external loads exist at supports A and D, determine the magnitudes of the reactions at these supports based on the diagrams provided. Express the results in vector form. (b) Given the shear-force and bending-moment diagrams provided, sketch a valid loading condition that would be consistent with these diagrams. On the beam provided, show the magnitude direction, and location of all loads needed to create the shear-force and bending-moment diagrams provided.