For the system illustrated below, $1$ kN vertical concentrated load moves through points $D-E.$ Answer the followin

a$)$ Plot the interaction scheme and plot the influence line diagrams for the vertical components of the redundants of supports $A,B$ and $C.$

b$)$ Plot the influence line diagrams of $M_1,M_2,M_3,T_1,T_2,T_3,N_3$ and $N_4.$

c$)$ Assume the case: The system has been loaded uniformly through points D$-$E$.$ Take the magnitude of uniformly distributed load as $20k\frac{N}{m}$ and calculate the internal forces at the highlighted sections using the influence line diagrams.

d$)$ Calculate the values of max$(M_2),$max$(M_3),$ min$(T_3)$ and min$(T_2)$ for the illustrated moving load pattern below.