An I-section joist 450 mm x 250 mm x 20 mm is used as a strutwith one end fixed and the other end free carrying a buckling loadof 200 × 106 N. Suggest the changes to be made in the length of thestrut for a constant flexural rigidity by considering both the endsto be hinged, both the ends to be fixed and one end fixed but theother end hinged. Compare the values of the safe buckling load forall end conditions. Given modulus of elasticity of the material, E= 210 GPa and consider factor of safety = 5.
If the least radius of gyration of the column was found to be 25.96mm, determine the values for the slenderness ratio for all four endconditions of the column. State and verify the validity of theEuler’s column theory based on the slenderness ratio for all thefour end conditions.
