The deck is supported by the two $40-$mm$-$square columns which are $h=3\mathrm{.}7m$ long. Column $AB$ is pinned at A and fixed at $B,$ whereas $CD$ is pinned at $C$ and $D.$ The center of gravity of the load is located at $d=2m.$ Both columns are made from Douglas Fir.

Part A

If the deck is prevented from sidesway, determine the greatest weight of the load that can be applied without causing the deck to collapse. Use $E_w=13\mathrm{.}1$GPa

Express your answer to three significant figures and include appropriate units.