Problem $3(25$ points$)$

Column $AF$ is supported at a hinge $F,$ column EG is fixed on the ground at $G.$ There is a

$50N$ horizontal load at half height of AF$,$ there is a $20Nm$ moment at half heigh of EG$.$

A'E'EA is a truss that is supported on the two columns through two hinges, i$.$e$.,$ A and E$.$

i$)$ identify the zero truss members;

$(6$ points$)$

ii$)$ calculate the internal force truss member B$\text{'}$C$\text{'},$ BC$\text{'},$ and BC

$(7$ points$)$

iii$)$ draw the axial force diagram $N$ of $EG$

$(4$ points$)$

iv$)$ draw the shear force diagram $[$V$]$ of EG

$(4$ points$)$

v$)$ draw the bending moment diagram $[$M$]$ of EG

$(4$ points$)$