Question
Download Solution PDFStatement 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
- 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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