Problem $3(30$ points$)$

The following frame is fixed to the ground at A and horizontally supported at a roller E$,$

the member A$-$B$-$C and C$-$D$-$E is connected at a hinge joint C$.$ Solve the following

problems:

i$)$ Find the reactions at $A,E$ and the internal force at C;

ii$)$ Draw the internal axial force diagram $N$ of the entire frame;

iii$)$ Draw the internal shear force diagram $V$ of the entire frame;

iv$)$ Draw the bending moment diagram $M$ of the entire frame.

$(9$ points$)$

$(7$ points$)$

$(7$ points$)$

$(7$ points$)$