Statement I: Fibres in the neutral layer of a beam under simple bending is always stressed.
Statement II: The resultant pull or thrust on a transverse section of the beam under pure bending is zero.
Out of following, which option is correct?

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JKSSB JE (Civil) Official Paper (Held On: 19 Nov, 2023)
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  1. Statement I and Statement II are True
  2. Statement I and Statement II are False
  3. Statement I is False and Statement II is True
  4. Statement I is True and Statement II is False

Answer (Detailed Solution Below)

Option 3 : Statement I is False and Statement II is True
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Detailed Solution

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Explanation:

  • In pure bending, the neutral layer (or axis) is the fiber within the cross-section of a beam that experiences zero longitudinal stress.
  • This layer neither stretches nor compresses and hence remains unstressed.
  • Under pure bending, there are no shear forces, only bending moments.
  • The resultant axial force on a transverse section is zero because the tensile and compressive stresses above and below the neutral axis cancel out.

 Additional Information

Pure Bending:

  • Occurs when a beam is subjected to a constant bending moment with no shear force.
  • Typical in the middle span of a simply supported beam under two-point loads.

Neutral Axis:

  • A horizontal axis within the beam’s cross-section where bending stress is zero.
  • Fibers above it are in compression, and those below are in tension.

Internal Equilibrium:

  • The compressive and tensile forces due to bending must balance out, hence the net axial force is zero across the section. 
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