Q$.4($a$)$ A simply support beam $6$ m long is carrying a uniformly distributed load of $5k\frac{N}{m}$ over a length of $3$ m from the right end. Draw the S$.$F$.$ and B$.$M$.$ diagrams for the beam and also calculate the maximum B$.$M$.$ on the section.

$($b$)$ Discuss the utility of force and bending moment diagrams.

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$($c$)$ Explain briefly the relationship between shear force and bending moment at a section.

$(5)$