SSC JE Civil Engineering 2018 Set 3 Solved Paper

Question : 193 of 200

Marks: +1, -0

Keeping the depth d constant, the width of a cantilever of length l of uniform strength loaded with a uniformly distributed load w varies from zero at the free end and

$( {2w}/{σd^2} )× \l^2$ at the fixed end
$( {3w}/{σd^2} )× \l^2$ at the fixed end
$( {3w}/{σd } )× \l^2$ at the fixed end
$( {5w}/{σd } )× \l^2$ at the fixed end

Validate

Solution:

In cantilever beam keeping the depth is constantBending moment (BM) at fixed support =

{W\l^2}/2

BM = σ× 3

{W\l^2}/2=σ×{bd}^2/6

[g={3W\l^2}/{σ d^2}]

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