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

a$)$ Plot the influence line diagrams of the support reactions $V_A,V_B,V_c$ and $V_D.$

b$)$ Plot the influence line diagrams of $M_a,V_a,M_b,V_b$ and $M_c,V_c$ internal forces.

c$)$ Plot the influence line diagrams of the truss forces at $D_1,O_3,D_3$ and $U_2.$

d$)$ For the illustrated moving load pattern below, calculate the maximum and minimum values of internal forces highlighted at sections $($a$),($b$)$ and $($c$).$

e$)$ Use the same moving load pattern given in part $($d$)$ to calculate the maximum values of the tensile and compressive truss forces at $D_1,O_3,D_3$ and $U_2.$