Structures·MCQ explained

The shear span is defined as the zone where:

Try it first: pick an option, then read the explanation.

Correct answer: C. shear force is constant

Asked in SSC JE 2004

Detailed Explanation

In a beam tested under two-point loading, the beam splits into two kinds of zone: the middle zone between the loads (zero shear, constant moment — pure bending) and the end zones between each support and the nearest load.

Why “shear force is constant” Is Correct

Those end zones have a constant shear force equal to the reaction, and are called shear spans (length a) — option (c). The ratio a/d (shear span to effective depth) governs whether a beam fails in shear or flexure.

PPACDBa (shear span)pure bendinga (shear span)SFD+P0−PBMDPa (constant)
Two-point loading. In the end zones of length a (the shear spans) the shear is constant (±P); in the middle zone the shear is zero and the moment constant (Pa) — pure bending.

Why the Other Options Are Wrong

  • A. shear force is zero: Zero shear defines the pure-bending zone, not the shear span.
  • B. bending moment is zero: BM is zero only at the supports.
  • D. bending moment is constant: Constant BM is the pure-bending zone between the loads.

Key Point

Shear span = zone of constant shear between a support and the nearest load; a/d ratio controls shear behaviour.

Key Concepts for Students

  • Deep beams have small a/d and fail by arch action.
  • a/d below about 2.5 increases shear strength.
  • Two-point loading isolates pure bending in the middle zone.

Practice more: this is question 62 in Bending Moment and Shear Force MCQs – Part 5. Try the whole set and check every answer instantly.