P$16\mathrm{.}9$ Rigid beam ABC is supported by a pinned connection at A and by a $200mm$ by $200mm$ square timber post that is pin connected at $B$ and $D,$ as shown in Figure P$16\mathrm{.}8/9.$ The length dimensions of the beam are $x_1=4m$ and $x_2=3m.$ The timber post has a length $L=6m$ and an elastic modulus $E=12$GPa. If a factor of safety of $2\mathrm{.}0$ with respect to buckling is specified, determine the magnitude of the maximum distributed load $w$ that may be supported by the beam.

FIGUKE FMO. $7=$