Structures·MCQ explained

Which of the following beams is likely to have a point of contraflexure?

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

Correct answer: C. Beam with overhangs

Asked in SSC JE 03/03/2017 (Evening)

Detailed Explanation

A point of contraflexure exists only where the bending moment changes sign. Under ordinary downward loads, check which beams have both sagging and hogging regions.

Why “Beam with overhangs” Is Correct

A cantilever under downward load is hogging throughout; a simply supported beam is sagging throughout — no sign change in either. A beam with overhangs hogs over the supports and sags in the span, so the BM crosses zero — option (c).

UDL wABCDBMDhogging (−)hogging (−)sagging (+)PCPC
Beam with equal overhangs carrying a UDL. The bending moment is hogging (−) over the supports and sagging (+) near mid-span, so it passes through zero at two points of contraflexure (PC) between the supports.

Why the Other Options Are Wrong

  • A. Cantilever beam: A cantilever under downward loads hogs everywhere — one sign only.
  • B. Simply supported beam: A simply supported beam under downward loads sags everywhere.
  • D. None of these: The overhanging beam does have contraflexure points.

Key Point

Overhanging, fixed and continuous beams have contraflexure; SS beams and cantilevers (downward loads) do not.

Key Concepts for Students

  • A couple on a SS beam can create a contraflexure point.
  • Fixed beams with UDL have two points, 0.211L from each end.
  • Short overhangs may not create contraflexure if the span moment stays positive throughout.

Practice more: this is question 41 in Bending Moment and Shear Force MCQs – Part 3. Try the whole set and check every answer instantly.