A beam ABCD is simply supported at its end A and D over a span of 30…

Question

A beam ABCD is simply supported at its end A and D over a span of 30 meters. It is made up of three portions AB, BC and CD each 10m in length. The moments of inertia of the section of these portions are I, 2I and 3I respectively, where $I = 2 \times 10^{10} \text{ mm}^4$. The beam carries a point load of 300 KN at C Neglecting the weight of the beam calculate the slopes and deflection at A, B, C and D. Take $E = 200 \text{ KN/mm}^2$.