Consider the beam shown of El value $\backslash (2,165\backslash$mathrm$\{$kNm$\}^\{2\}\backslash ).$

The point load applied at A is $14$ kN and $\backslash (6\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )$ is applied along span BC $.$

Span $\backslash ($ A B $\backslash )$ is $2$ m in length while span $\backslash ($ B C $\backslash )$ is $1$ m long.

Determine the deflection at A$,$ presenting a downward deflection as negative and an upward deflection as positive. Answer in metres to five significant figures.