A load$-$bearing structure is shown below. At point C$,$ a horizontal force of $475$ kN acts $($load factor has been set$).$ The diagonal brace has a cross$-$section SHS $50$ x $3($cross$-$sectional area A $=554$ mm$2)$ and the steel is S$355.$

a$)$ Determine the tensile force $($F$\_$AC$)$ in SHS rod?

b$)$ Is the SHS rod carrying the load? Aim at the intact cross$-$section