In a simply supported beam, maximum shear stress in a triangular cross-section (altitude h) occurs at a distance:

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  1. h/3 from bottom of beam
  2. h/3 from top of the beam
  3. h/6 from neutral axis
  4. h/5 from top the beam

Answer (Detailed Solution Below)

Option 3 : h/6 from neutral axis
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Explanation:

F1 N.M Madhu 24.03.20 D9

Maximum shear stress occurs at h/2 from base

Distance from the neutral axis \(= \frac{{\rm{h}}}{2} - \frac{{\rm{h}}}{3} = \frac{{\rm{h}}}{6}\)

Here

\({{\rm{\tau }}_{{\rm{avg}}}} = \frac{{{{\rm{V}}_{\rm{u}}}}}{{\frac{1}{2}{\rm{bh\;}}}}\)

where Vu = Maximum shear force

∴ The correct answer is h/6 from the neutral axis.

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