Question

1: During construction, field tests were conducted to assess
the suitability of the column to withstand a safe buckling load of
2.5 kN assuming a factor of safety 4 using two different hollow
columns made up of steel and concrete. Both columns have same cross
section but varying length and different support conditions. Steel
column of length 3 m having external diameter 40 mm was tested with
one end fixed and the other end hinged, when subjected to a
compressive stress of 0.0045 MN/cm2 shortens by 3.6 mm.

If the concrete column was tested under similar loading
conditions with one end fixed and other end free considering
modulus of elasticity of concrete equal to 128 GPa, what will be
the corresponding length of the column required? As a design
engineer how do you choose the values for the thickness of both
columns and the length of the concrete column? What will be your
interpretations regarding the relationship between the support
conditions and the buckling load based on the test results

Answer #1

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