Problem $3(20$ points$).$

Member $AO$ is fixed on ground, it is connected to member $BD$ at the hinge joint $B$ and via a short$-$link bar EC$.$ A rope loaded by a downward $60-N$ force goes around pulley $D$ and tied to member AO at A$.$

i$.$ draw the free body diagram of member BC$,$ calculate the internal forces at joint B

ii$.,$ and points$)$

iii. draw the free body diagram of $AO,$ calculate the reactions at $O$; $(3$ points$)$

iv$.$ draw the axial force diagram $[$N$],$ shear force diagram $[$V$],$ and bending moment

v$.$ diagram of member BD; $(9$ points$)$

vi$.$ draw the shear force diagram $V$ of member $AO(6$ points$)$