The rectangular bar is connected to the support bracket with a $23-mm-$diameter pin. The bar width is $w=85mm$ and the bar thickness is $10mm.$ Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed $105$MPa, the bearing stress in the bar cannot exceed $140$MPa, and the bearing stress in the bracket cannot exceed $120$MPa. Determine the maximum value of $P_{\text{m}\text{a}\text{x}}$ that can be supported by the structure.

Answer: $P_{\text{m}\text{a}\text{x}}=kN$