A planar straight beam is supported and loaded, as shown. 1. Determine the support reactions; 2. Determine the internal forces functions in each segment; 3. Draw the internal forces diagrams on a suitable scale; 4. Check the internal forces functions and diagrams using the differential check, the check about the type of the diagrams, area check and the check about the steps in the diagrams. DATA: a = 3+0.1.K, [m]; b=4+0,1.K, [m]; c=2+0,1.K, [m]; q=10+K, [kN/m); F-10+K, (kN]; M = 30+K, [kvm).