Problem $3(25$ points$)$

In Figure, take $F_2=8kN$ and $F_3=F_1=6$ kN $.$ Determine forces in $BD,CD,CE,$ and $BC.$

$($a$)$ Find out a zero$-$force member $=$

$($d$)$ Create an appropriate section on the structure and draw free body diagram with exposed unknown member forces.

$($c$)$ Member force $F_{BD}=$

Member force FCD $=$

Member force $FC{E}_{CE}=$

Member force $F_{BC}=$