An uniform metallic beam PQ of length of L = 5 m is simply supported at its ends in a horizontal position as shown in the Figure 2 below: The beam mass is equivalent to a Weight of 400 N acting at its centre as shown above. The Point loads of F, = 12 kN and F2 = 20 kN act on the beam in the positions shown. When the beam is in equilibrium, determine: a) the reactions forces at the supports, Rp and Ro; b) the position to which the force F1=12 kn must be shifted so that the reaction foces on the on the supports to be equal

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6