Problem $2(20$ points$).$

The structure is made of a straight member $($AB$)$ and a L$-$shaped member $($BCD$),$ they are connected by the hinge joint $B.$ Both A and $C$ are hinge supports. A concentrated load of $2qL$ is applied to $AB,$ a distributed load of $q$ is applied to the entire length member BC$.$

i$.$ calculate the reactions at A and D; $(6$ points$)$

ii$.$ draw the axial force diagram $N$ of $AB-BCD(4$ points$)$

iii. draw the shear force diagram $[$V$]$ of AB$-$BCD $(4$ points$)$

iv$.$ draw the bending moment diagram $M$ of $AB-BCD(4$ points$)$

v$.$ if the action line of the force $2qL$ is shifted toward left by $0\mathrm{.}5L,$ will the horizontal reactions at A and $D$ be changed? Why? $(2$ points$)$