The figure below shows a compound beam. Support A is the hinge; support B and D rollers. Point C represents an internal hinge.

a$.$ Although there are $4$ reactions, explain why is the structure statically determinate point$)$

b$.$ Find the support reactions at support A$,$ B$,$ and D$.(2$ points$)$

c$.$ Draw the free$-$body diagram of the two segments AC and CD of the beam. $(2$ poit

d$.$ Draw the shear force diagram $($SFD$)(5$ points$)$

e$.$ Draw the bending moment diagram $($BMD$)(5$ points$)$

f$.$ Specify the location of any point, if any, where the shear force is zero $(1$ points$)$

g$.$ Specify the location of the point of inflection, if any. $(2$ points$)$

h$.$ Locate the point$/$region of the maximum shear and maximum bending moment an mention their values. $(2$ points$)$