A bar with a rectangular cross-section is connected to a support bracket with a circular pin, as shown in the figure. The bar has a width of b=40 mm and a thickness of 10 mm. The pin has a diameter of 12 mm. The yield strength of the bar is 415 MPa, and a factor of safety of 1.67 with respect to yield is required. The bearing strength of the bar is 380 MPa, and a factor of safety of 2.0 with respect to bearing is required. The sheer strength of the pin is 550 MPa, and a factor of safety of 2.5 with respect to share failure is required. Determine the magnitude of the maximum load P that may be applied to the bar. Bracket Pin Bar