3) A beam with a length of 8 feet is supported by a free pin at A and a roller at B. The beam is subjected to a distributed load as illustrated below. Use this information to answer the following questions. y -180-x (lbs/ft) B 4.0 ft 4.0 ft a) Draw all free body diagrams needed to find the support forces and the shear force in each section of the beam. [3 points] b) Solve for the support forces acting on the beam. [4 points] c) Solve for the expressions describing the shear force as a function of position x, for all points along the length of the beam. Use point A as the origin (x=0). [8 points]