Problem $3$: $(50$ pts$)$

$-$ Determine the axial, shear and moment functions for the frame shown below. Assume $\backslash ($ A $\backslash )$ is a roller, and $\backslash ($ D $\backslash )$ is a pin. Your coordinate system should follow the given critical fiber locations. $(25$ pts$\backslash ()\backslash )$

$-$ Plot AFD, SFD$,$ and BMD accordingly. $(10$ 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 $)$

$-$ What is the deflected shape of member $\backslash ($ A B $\backslash )?(2$ pts$)$

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

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