a$)$ Construct the shear$-$force and bending$-$moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments $($both positive and negative$)$ along with their respective locations. Clearly differentiate straight$-$line and curved portions of the diagrams.

b$)$ This beam has a rectangular cross$-$section with dimensions of base, $\backslash ($ b$=76\backslash$mathrm$\{$~mm$\}\backslash ),$ and height, $\backslash ($ h$=150\backslash$mathrm$\{$~mm$\}\backslash ).$ Calculate the maximum tensile bending stress along any location in the beam.

c$)$ Calculate the max tensile stress along any location in the beam. Clearly indicate where this tensile stress is located in terms of $\backslash ($ x$,$ y$,$ z $\backslash )$ coordinates considering the origin shown.