This is a buckling problem. The figure below shows an off-loading station at the end of a paper-rolling machine. The finished paper rolls are 0.9 m OD by 0.22 m ID by 3.23 m long and have a density of 900 kg/m³. The rolls are transferred from the machine conveyor (not shown) to the forklift truck by the V-linkage of the off-load station which is rotated through 90 by an air cylinder. The paper then rolls onto the waiting forks of the truck. The 25 mm diameter rod is solid annealed stainless steel with yield strength of 420 MPa and elastic modulus of 207 GPa. Determine the critical load on the air cylinder rod if the crank arm it rotates is 0.3 m long and the rod has a maximum extension of 0.5 m. Also, determine the factor of safety employed in this design. State all assumptions.

1 m crank arm paper rolling machine forks A rod off-loading station air cylinder fork lift truck