SSC JE Civil Engineering 30-Oct-2020 Shift 2 Paper

Question : 143 of 200

Marks: +1, -0

As per IS 456-2000, the limiting value of the depth of neutral axis

( X_\umax /d)

for fe415 grade steel is:

0.46
0.48
0.53
0.39

Validate

Solution:

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

{{\x}_{{\u}}}/{{\d}}={{ \Max \strain \concrete }}/ {{{ \Grade \of \steel }}/{{ \Modulus \of \Elasticity \of \steel }×{ \F.\O.\S }}+0.002+{ \Max \strain \concrete }}

Note:
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:
$\x_\u$ = k × d

Grade of Steel	Fe 500	Fe 415	Fe 250
‘k’ value	0.46	0.48	0.53

∴ For Fe415 grade limiting value of depth of neutral axis is 0.48 × d

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