Question $1$:

For the shown beam, determine the following:

a$.$ Influence lines for the reactions at the supports

b$.$ Influence lines for shear force at B and D$($left$)$ and D$($right$)$

c$.$ Influence lines for bending moment at C and D

d$.$ Maximum and minimum vertical reaction at D and bending moment at C due to a moving

concentrated load of $60$ KN and distributed Live Load $20$ kN$/$m with variable length in

addition to a Distributed Dead Load $30$ kN$/$m

$(1-$b$)$