SSC JE Civil Engineering 2013 Solved Paper

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Question : 183 of 200

Marks: +1, -0

If the modular ratio is ‘m’, stress ratio in steel and concrete is ‘r’, then the critical neutral axis constant ‘k’ is given by

$m/(m- r)$
$m/(m + r)$
$(m + r)/m$
$m^2/r$

Solution:

K=m/{m+r}

Since

K={mσ_{cbc}}/{mσ_{cbc}+σ_{sf}}

={m}/{m+σ_{sf}/σ_{cbc}}

where

σ_{sf}/σ_{cbc}=r

∴K=m/{m+r}

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