A $10-$m$-$long W$250\backslash (\backslash$times $80\backslash )$ steel $(\backslash ($ E$=200\backslash$mathrm$\{$GPa$\}\backslash ))$ beam is subjected to a compressive load of $200$ kN $.$ This load is applied $6$ cm from the cross$-$section centroid as shown here. The maximum deflection of this beam is:

Multiple Choice

$2\mathrm{.}4$ mm

$1\mathrm{.}8$ mm

$6\mathrm{.}6$ mm

$1\mathrm{.}2$ mm