The d = 14-mm-diameter solid rod passes through a D = 19-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 12 mm. The rod head has a diameter of a = 28 mm, and the head has a thickness of t = 11 mm. The shear stress in the rod head cannot exceed 140 MPa, the punching shear stress in the support plate cannot exceed 95 MPa, and the bearing stress between the rod head and the support plate cannot exceed 155 MPa. Determine the maximum value of Pmax that can be supported by the structure.

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Pressure and Stress