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A steel column of ISHB $350$ @$72.4$ kg/m is subjected to a factored axial compressive load of $2000$ kN. The load is transferred to a concrete pedestal of grade $M20$ through a square base plate. Consider bearing strength of concrete as $0.45f_{ck}$, where $f_{ck}$ is the characteristic strength of concrete. Using limit state method and neglecting the self weight of base plate and steel column, the length of a side of the base plate to be provided is 

  1. $39$ cm
  2. $42$ cm
  3. $45$ cm
  4. $48$ cm
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