Setup:

a$)$ Sketch a horizontal beam $($length $4$ m $)$ supported by two point supports at $0$ m and at $4$ m $.$ There is a load on the beam of mass $1500$ kg placed at the $3$ m mark.

b$)$ Find the forces on the left and right supports.

c$)$ Sketch the bending moment diagram and the shear force diagram. Comment on how the diagrams are helpful in analyzing this static situation.