A cable$-$supported bridge has a symmetric parabolic cable of uniform cross$-$section has a span L $=137\mathrm{.}1$ m and cable sag h $=33\mathrm{.}4$ m at mid$-$span. The cable supports at A and C are idealised as pin supports and are located at the same vertical height from the bridge deck. If the bridge deck is subjected to a uniformly distributed load q $=25\mathrm{.}5$ kN$/$m across the entire span, determine the maximum force in the cable Fmax in kN$.$ In your calculations, you can ignore the self$-$weight of the cable.