Problem 2:

The figure presented here shows a unform beam in static equilibrium.

L.

O ft

15 ft

The supports are located at the ends of the beam (0 ft and 15 ft). Set your

coordinate systems so that origin is located at the left edge of the beam (listed as 0

ft in the figure). Let w(x) be the function the describes the distributed load.

lb

w(x) = x² + 3x + 100

Part A: Draw the Free Body Diagram of the system with the distributed load.

Part B: Find the magnitude and line of action of the equivalent distributed force

due to the distributed load, w.

Part C: Draw the new FBD representing the distributed load using the resultant

force you just computed.

Part D: Determine the support reactions.