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A beam of uniform rectangular cross - section is under a transverse load. The stress along the neutral axis of central cross - section is

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BPSC AE Paper 4 (General Engineering Science) 10 Nov 2022 Official Paper
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  1. only bending stress
  2. maximum bending stress and minimum shearing stress
  3. maximum shearing stress only
  4. bending stress and shearing stress

Answer (Detailed Solution Below)

Option 4 : bending stress and shearing stress
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Detailed Solution

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Explanation:
In a beam subjected to transverse loading, different types of stresses develop across its cross-section.

Bending Stress: Bending stress is zero at the neutral axis but varies linearly with the distance from the neutral axis, reaching its maximum at the top and bottom fibers of the beam.

Shear Stress: Shear stress is maximum at the neutral axis and decreases towards the top and bottom surfaces of the beam.

Therefore, along the neutral axis of the central cross-section of a beam:

The bending stress is present but is zero since the neutral axis is the line of zero bending stress.The shear stress is at its maximum value along the neutral axis.

Hence, along the neutral axis, there is both bending stress (zero in value at that axis) and significant shearing stress present.

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