Which statement is correct for design of beams.

[A] The neutral axis passes through the centroid of the beam section when material follows Hooke’s law.

[B] The beam section is subjected tolongitudinal force.

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HPCL Engineer (Civil) 04 Nov 2022 Official Paper
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  1. Statements [A] and [B] both are false
  2. Statements [A] and [B] both are true
  3. Statement [A] is false, but [B] is true
  4. Statement [A] is true, but [B] is false

Answer (Detailed Solution Below)

Option 4 : Statement [A] is true, but [B] is false
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Detailed Solution

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Explanation:

Beam:

  • A beam is a horizontal structural element that is capable of withstanding transverse load primarily by resisting bending.
  • The bending force induced into the material of the beam as a result of the external loads, own weight, and external reactions to these loads is called a bending moment.
  • If the section is symmetric, isotropic, and the material follows Hook's law then the neutral axis passes through the centroid of the beam section.
  • All fibers on one side of the neutral axis are in a state of tension, while those on the opposite side are in compression.
  • At the neutral axis, the bending stresses will be always zero.

Since statement [A] is true and [B] is false. Hence option (4) is correct.

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