The effective length of lateral buckling for a simply supported beam under normal loading conditions, provided torsional restraint as fully restrained and warping restraint as both flanges fully restrained should be _______.

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SSC JE CE Previous Year Paper 21 (Held on 25 September 2019 Morning)
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  1. 0.5 L + D
  2. 0.7 L
  3. 1.2 L + 2D
  4. 0.95 L

Answer (Detailed Solution Below)

Option 2 : 0.7 L
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The buckling load (Pcr)of a steel column is

\({P_{cr}} = \frac{{{\pi ^2}EI}}{{L_{eff}^2}}\)

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

 \(\left\{ {\begin{array}{*{20}{c}} {k = 2,\;for\;a\;cantilever\;column\;}\\ {k = 1,\;for\;both\;ends\;hinged\;column\;}\\{k = 0.8,\;for\;one\;end\;fixed\;and\;other\;end\;hinged\;}\\{k = 0.7,\;for\;both\;end\;fixed\;and\; fully\;restraint} \end{array}} \right.\)

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