Limiting value of depth of neutral axis in RC beam of depth d with Fe250 steel is

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BPSC AE Paper 5 (Civil) 11 Nov 2022 Official Paper
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  1. 0.42 d
  2. 0.48 d
  3. 0.53 d
  4. 0.36 d

Answer (Detailed Solution Below)

Option 3 : 0.53 d
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Concept:

The ratio of limiting depth of neutral axis to the effective depth of the beam is given by

\(\frac{{{x_u}}}{d} = \frac{{{\rm{Max\;strain\;concrete}}}}{{\frac{{{\rm{Grade\;of\;steel}}}}{{{\rm{Modulus\;of\;Elasticity\;of\;steel}} \times {\rm{F}}.{\rm{O}}.{\rm{S}}}} + 0.002 + {\rm{Max\;strain\;concrete}}}}\)

Note:

Without getting into the tedious calculation,

We know the standard values of the ratio of limiting depth of neutral axis to the effective depth (k) of the beam for different steel sections as following:

Grade of Steel

Fe 500

Fe 415

Fe 250

‘k’ value

0.46

0.48

0.53

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