A simple beam AB supports two concentrated loads P at the positions shown in the figure. A

Question:

A simple beam AB supports two concentrated loads P at the positions shown in the figure. A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 10 mm, L = 6 m, E = 200 GPa, and I = 198 x 106 mm4, calculate the magnitude of the loads P so that the beam just touches the support at C.