The shear stress in a symmetrical ‘I’ section of a beam is maximum at 

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  1. soffit of the flange.
  2. junction of the flange and web.
  3. neutral axis. 
  4. top fibre of the upper flange.

Answer (Detailed Solution Below)

Option 3 : neutral axis. 
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Explanation

Shear stress at any point in a cross-section is given by the following formula:

\({\rm{f}} = \frac{{{\rm{VQ}}}}{{{\rm{Ib}}}}\)

Where,

f = shear stress

Q = First moment of area about the neutral axis of the area above the point where we want to calculate the shear stress

Q = A × y

V is Shear force

y is the centroid of the area above the point where we want to calculate the shear stress measured from the neutral axis.

A = Cross-sectional area above the point where we want to calculate the shear stress

I = moment of inertia about the neutral axis

b= width of the section where shear stress is to be calculated.

Shear stress is zero at extreme fibres 

For a symmetric ‘I’ section, the intensity of shear stress is maximum at the centroid of the section which is neutral axis as shown in the figure.

SSC JE Civil 92 10Q FT 6 Part 9 Hindi images Q10

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