$($Please provide full written solution without leaving stepas for thumbs up including maccaulay method aswell$)$ the correct answer for deflection is $0\mathrm{.}46$ make sure it matches

a$)$ A cantilever beam ABC shown in Figure Q$1($a$)$ has a uniformly distributed loac $6k\frac{N}{m}$ over the whole beam and a concentrated load $P$ of $3$ kN at Section B$.$ I rectangular cross section of $80$ mm wide and $100$ mm deep with a Young's modu $69$ GPa.

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

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

Figure Q$1($a$)($a$)$ A cantilever beam ABC shown in Figure Q$1($a$)$ has a uniformly distributed loac $6k\frac{N}{m}$ over the whole beam and a concentrated load $P$ of $3$ kN at Section B$.$ I rectangular cross section of $80$ mm wide and $100$ mm deep with a Young's modu $69$ GPa.

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

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

Figure Q$1($a$)$