GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 16 of 65

Marks: +1, -0

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 of concrete as

0.45 f_{c k}

, where

f_{c k}

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

$39 {cm}$
$42 {cm}$
$45 {cm}$
$48 {cm}$

Validate

Solution:

Area required for base plate

=\;{\;\text " Factored load "\;}/{\;\text " Bearing capacity of concrete "\;}

=\;{2000 × 10^{3}}/{0.45 × 20} 222222.222 {mm}^{2}

So, side of base plate

=√{\;\text " Area "\;}

=471.4 {mm}

=47.14 {cm}

Since, provided area must be more than required so answer should be

48 {cm}

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