The simply supported beam shown in FIGURE 1

The simply supported beam shown in FIGURE 1 is 10 m long withE = 200 × 109 Pa and I = 150 × 10–6 m4.As it won’t let me upload the image, I’ll try to explain it. R1 and R2 are at either end of the supported beam and the u.d.l is 5kNm-1. Three metres from R1 (on the left hand side) is a point load of 20kN. Four metres from this is a point load of 30kN and then a further three metres before point R2 (at the far right).(a) (i) Determine the position and magnitude of the maximum bendingmoment.(ii) Plot a graph of the deflection along the length of the beam(calculate the deflection at 1 m intervals).(b) What I value for the beam would be required to halve the maximumdeflection of the beam ?(c) The calculation for the maximum bending moment is to be verifiedexperimentally using a strain gauge bonded to the outer surface of thebeam, at the point where the maximum bending moment occurs.Derive an equation which could be used to calculate the bendingmoment from the measured strain v