Please Show Working For the beam shown below, q$=14$ kN $/$ m and L$=4$m$.(1)$ Determine the moments at A and B assuming E I is constant. $(2)$ Determine the deformed shape of the beam. $(3)$ Determine the shear force and bending moment diagrams of the beam, as well as the relevant values at the "strategic" points. Part a$)$ Task $1$: Which joint should be locked and unlocked? A B C Part a$)$ Task $2$ : Determine the bending stiffness: Flexural stiffness: k$\_$A B$=$k$\_$B A$=$ El$,$ k$\_$B C$=$k$\_$C B$=$ EI End rotational stiffness: S$\_$BA$=$ k$\_$B A$=$ k$\_$B C$=$ El Part a$)$ Task $3$ : Determine the distribution factor $($DF$)($absolute value: please present with four decimal places$)$:

DF$\_$BA$=,$ DF$\_$BC$=$

Determine the Fixed End Moment $($FEM$)($ k N m $)($assuming anti$-$clockwise positive; please present with two decimal places$)$: FEM$\_$AB$=,$ FEM$\_$BA$=,$ FEM$\_$BC$=.$ FEM$\_$CB$=$ Fill in the table below $($actual values; please DO NOT present the values in fraction$)$:Determine all support reactions $($fill in with absolute values$)$: Horizontal reaction at $$: H$\_$A$=$ kN Vertical reaction at A: V$\_$A$=$ kN Vertical reaction at B: V$\_$B$=$ k N What is the shear force to the left of B $($absolute value$)?$ kN What is the local maximum moment between A and B $($absolute value$)?$ kNm What distance to the right of A does the local maximum moment between A and B occur? m What distance from A does the contraflexure point $($CP$)$ closest to A occur? Near point: D$\_$C$-$A near $=$ m What distance from A does the contraflexure point $($CP$)$ furthest to A occur? Far point: D$\_$C P$-$A$,$ a r$=$ m