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RCC Structures Design - Engineering

Q1:

Pick up the incorrect statement from the following. The intensity of horizontal shear stress at the elemental part of a beam section, is directly proportional to

A shear force

B area of the section

C distance of the C.G. of the area from its neutral axis

D moment of the beam section about its neutral axis

E width of the beam.

ANS:D - moment of the beam section about its neutral axis

"moment of the beam section about its neutral axis" Horizontal shear stress at an elemental part of a beam section is not directly proportional to the moment of the beam section about its neutral axis. Instead, the intensity of horizontal shear stress is directly proportional to the following factors:

  1. Shear force: The shear force applied to the beam section.
  2. Area of the section: The area of the cross-section through which the shear force is applied.
  3. Distance of the centroid (C.G.) of the area from its neutral axis: This represents the lever arm for the shear force and influences the shear stress.
  4. Width of the beam: The width of the beam, which contributes to the cross-sectional area through which the shear force is distributed.
The moment of the beam section about its neutral axis affects the distribution of bending stresses, but it does not directly influence the intensity of horizontal shear stress. Therefore, the statement suggesting a direct proportionality between the moment of the beam section about its neutral axis and the intensity of horizontal shear stress is incorrect.