A steel column pinned at both ends has a buckling load of 200kN. If the column is restrained against lateral movement at its mid-height, its buckling load will be

  1. 200 kN
  2. 283 kN
  3. 400 kN
  4. 800 kN

Answer (Detailed Solution Below)

Option 4 : 800 kN
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Detailed Solution

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The buckling load (Pcr)of a steel column is

where EI = flexural rigidity, Leff = effective length of the column

The effective length of a column (Leff)

It is the length of the column between points of zero moments.

IS:800 – 2007 uses ‘L’ for unsupported length and ‘kL’ for an effective length

where

Calculations:

The buckling load (P1) of a steel column pinned at both the ends is (Leff = L)

When the column is restrained against lateral movement at its mid-height, then Leff = L/2

The buckling load (P2) of the steel column for the above case will be

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