Part $1$: $(15$ Points$)$

For the given structurem, members ABC $,$ DEF, and GH are continous beam members and members BH and HE are truss members.

$25$ LMI

$($a$)$ Determine and show the minimum number of degrees of freedom to analyze this structure using stiffness method?

$($b$)$ Sketch the deformed shape of the structure $($do not analyze the structure$)?$

$($c$)$ Sketch the moment diagram of the structure. Show your sign convention $($do not analyze the structure$)?$