In: Civil Engineering
An I-section joist 450 mm x 250 mm x 20 mm is used as a strut
with one end fixed and the other end free carrying a buckling load
of 200 × 106 N. Suggest the changes to be made in the length of the
strut for a constant flexural rigidity by considering both the ends
to be hinged, both the ends to be fixed and one end fixed but the
other end hinged. Compare the values of the safe buckling load for
all 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 25.96
mm, determine the values for the slenderness ratio for all four end
conditions of the column. State and verify the validity of the
Euler’s column theory based on the slenderness ratio for all the
four end conditions.