$($a$)$ A cantilever beam ABC shown in Figure $Q1($a$)$ has a unitormly $6k\frac{N}{m}$ over the whole beam and a concentrated load $P$ of $3kN$ at Section B$.$ It $r$ rectangular cross section of $80mm$ wide and $100mm$ deep with a Young's modulu $69$GPa.

$($i$)$ Construct the shear force and bending moment diagrams of the beam with $p$ values and

$($ii$)$ determine the maximum deflection using Macaulay function method.

Figure Q$1($a$)$