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Question

Black dot shown in the figure qualitatively represents the shear centre of the angle section. The option which represents the position of the shear centre is:

The correct answer is

Shear Centre Location for Angle Section

The shear centre (or elastic centre) of a cross-section is a point on the cross-section through which the resultant shear force must pass to create pure bending without any twisting of the section.

Understanding Shear Centre in Angle Sections

  • For thin-walled open sections like angle sections, the shear centre generally lies outside the material of the section.
  • For a standard angle section (often assumed to have equal or unequal legs forming a 90-degree angle), the shear centre lies on the line that bisects the angle between the two legs.
  • This bisecting line acts as an axis of symmetry for the location of the shear centre relative to the geometry of the angle.

Identifying the Correct Position

Referencing the provided figure:

  • The figure shows an angle section.
  • The points A, B, C, and D represent potential locations for the shear centre.
  • Point D is situated on the line bisecting the angle formed by the two legs of the section, extending outwards from the vertex.
  • Points A and B are typically associated with the centroidal axes, and C is at the vertex. Neither A, B, nor C represents the shear centre for an angle section.
  • Therefore, the position marked as D correctly represents the qualitative location of the shear centre for the given angle section.
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Important Questions from Shear Centre

  1. The point within the cross sectional plane of a beam, through which the resultant of the external loading on the beam has to pass through to ensure pure bending without twisting of the cross section of the beam is called as-

  2. Pick up the correct statement from the following

  3. Shear centre is also known as centre of _______.

  4. In a beam cross section, when the axis of symmetry in the vertical plane does not coincide with the shear center, the cross section experiences:

  5. Shear center is a point through which the load should act in a member such that

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