Problem $4$: $(60$ pts $)$

$-$ Determine the axial, shear and moment functions for the frame shown below. Assume the frame is pin connected at $\backslash ($ A$,$ C $\backslash ),$ and $\backslash ($ D $\backslash )$ and there is a fixed joint at $\backslash ($ B $\backslash ).$ Your coordinate system should follow the given critical fiber locations. $(30$ pts $)$

$-$ Plot AFD, SFD$,$ and BMD accordingly. $(15$ pts$)$

$-$ Are the two moments at joint $\backslash ($ B $\backslash )$ equal? $(3$ pts$)$

$-$ Are the two moments at joint $\backslash ($ C $\backslash )$ equal? $(3$ pts$)$

$-$ Identify the value and location of the maximum moment on member $\backslash ($ C D $\backslash ).(5$ pts$)$

$-$ Identify the location of point of inflection. $(2$ pts$)$

$-$ Validate the structure is determinate first. $(2$ pts$)$