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

a$)$ Plot the interaction scheme and plot the influence line diagrams for the horizontal and vertical components of the redundants of support $A.$

b$)$ Plot the influence line diagrams of $M_a,M_c,M_e,M_f,V_a,V_b,V_c,V_d,V_e,V_f,N_d$ and $N_f.$

c$)$ Assume the case: The system has been loaded uniformly through points $B-F.$ 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$(b),$max$(M_f)$ and min$(V_d)$ for the illustrated moving load pattern below.