Question

Q4: Experiments were conducted to determine the safe buckling load on columns with T-section
100 mm × 100 mm × 10 mm with different support conditions. When both ends of the columns
are fixed, safe crippling load carried by the column was found to be 60 × 103 N. Suggest the
length for other three columns for the same crippling load when the support conditions are
changed to one end fixed but the other end free, both the ends hinged and one end fixed but the
other end hinged. The cross section of the column is kept constant in all cases, and E = 200 GPa.
Take factor of safety = 4.
Instead of T section, a hollow column of same material having length 5 m and external diameter of
55 mm when subjected to a compressive load of 60 kN, there was a shortening in the length of the
column by 0.120 cm. Suggest a suitable value for the thickness of the column to withstand the safe
crippling load when one end of the column is fixed and other end is free?

Answer 1

Complete solution is given below.