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If the permissible stress in steel in tension is 140 N/mm2, then the depth of neutral balanced section using working stress method is
  • a)
    0.35 d
  • b)
    0.40 d
  • c)
    0.45 d
  • d)
    Dependent on grade of concrete also
Correct answer is option 'B'. Can you explain this answer?
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If the permissible stress in steel in tension is 140 N/mm2, then the d...
Depth of balanced neutral section using working stress method is given by,
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Working Stress Method in Design of Reinforced Concrete:

The working stress method is also known as the allowable stress method. In this method, the stresses induced in the structural members are calculated and compared with the permissible stresses. The permissible stresses are obtained by dividing the ultimate strength of the material by a factor of safety. The factor of safety is used to account for uncertainties in the material properties and the loads acting on the structure.

Calculation of Neutral Balanced Section:

The neutral axis is the line that separates the compression zone from the tension zone in a reinforced concrete beam. The depth of the neutral axis is important in determining the bending moment capacity of the beam. The depth of the neutral axis is calculated using the following formula:

NA = (0.87fy/0.48fck) * d

where, NA = depth of the neutral axis
fy = permissible stress in steel in tension
fck = characteristic strength of concrete
d = effective depth of the beam

Answer:

Given, the permissible stress in steel in tension = 140 N/mm2

The depth of the neutral balanced section using the working stress method is given by 0.40 d.

Therefore, option (b) is the correct answer.
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