GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper

Question : 45 of 65

Marks: +1, -0

If the section shown in the figure turns from fully-elastic to fully-plastic, the depth of neutral axis (N.A),

\ov{y}

, decreases by

All dimensions are in mm

Solution:

For fully elastic case,

\ov{y}=\;{60 × 5 × {5}/{2}+60 × 5 ×(5+{60}/{2})}/{60 × 5+60 × 5}

=\;{750+10500}/{2 × 60 × 5}=18.75

For fully plastic case,

{y}=

Equal area axis

=5

N.A reduces by

=18.75-5=13.75 {mm}

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