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RCC Structures Design - Engineering

Q1:

If the modular ratio is m, steel ratio is r and overall depth of a beam is d, the depth of the critical neutral axis of the beam, is

A

B

C

D

E

ANS:B -

The depth of the critical neutral axis of a beam can be determined using the following formula: x=m⋅r/m+r ​⋅d Where:

  • x = Depth of the critical neutral axis
  • m = Modular ratio
  • r = Steel ratio
  • d = Overall depth of the beam
This formula represents the distance from the compression face of the beam to the critical neutral axis, where the bending stresses are at their maximum. The modular ratio m represents the ratio of the modulus of elasticity of concrete to that of steel, and the steel ratio r represents the ratio of the area of steel reinforcement to the total cross-sectional area of the beam. By substituting the given values of m, r, and d into the formula, we can calculate the depth of the critical neutral axis of the beam.