A high-strength steel bar used in a large crane has a diameter d = 50 mm (see figure). The steel has a modulus of elasticity E = 200 GPa and Poisson’s ratio is v = 0.3. Because of clearance...

A high-strength steel bar used in a large crane has a diameter d = 50 mm (see figure). The steel has a modulus of elasticity E = 200 GPa and Poisson’s ratio is v = 0.3. Because of clearance requirements, the diameter of the bar is limited to 50.025 mm when it is compressed by axial forces.

What is the largest compressive load P_max
that is permitted?