For a $2$ membered structure given in the figure $1$ below with ${|}_{A-B}|=0\mathrm{.}5{|}_{B-C}|$ :

a$.$ Draw the positive forces and moments at each joint

$---$br$-$fetermine$-$

i$.$ the stiffness matrices of each member

ii$.$ the total stiffness matrix

iii. the joint load matrix

iv$.$ the member reaction matrix

c$.$ find the rotations at the joints $B$ and $C$

d$.$ calculate the reactions