Name of the point where the bending moment changes sign In a continuous bending-moment diagram, the point at which the bending moment passes through zero and changes sign is called the:
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APoint of inflexion
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BPoint of contraflexure
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CPoint of virtual hinge
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DAll of the above
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EZero-shear point
Answer
Correct Answer: Point of contraflexure
Explanation
Introduction / Context:Terminology matters when interpreting diagrams. The location where bending moment switches from sagging to hogging (or vice versa) has a specific name, often used in detailing and analysis notes.
Given Data / Assumptions:
- Beam or frame with regions of positive and negative bending.
- Continuous bending-moment diagram with at least one internal zero crossing.
Concept / Approach:The point where the bending moment M changes sign is called the point of contraflexure (also written as counterflexure). At this point, curvature changes sign as well, although the point of inflexion is a broader mathematical term where curvature changes sign in a deflection curve; in beam theory, the two are related but the standard term tied to M = 0 sign change is contraflexure.
Step-by-Step Solution:
Draw the BMD and identify where M crosses zero within the span.Label that location as the point of contraflexure.Use it to plan tension/compression reinforcement transitions in RC beams or to understand flange stress reversals in steel beams.Verification / Alternative check:Check the corresponding shear diagram; a zero in M does not necessarily require zero shear.
Why Other Options Are Wrong:
- Point of inflexion (option a) describes curvature change in the deflected shape; terminology in beam BMD context prefers contraflexure.
- Point of virtual hinge (option c) refers to a plastic hinge or a released moment location, not merely a sign change of M.
- All of the above (option d) mixes distinct concepts.
Common Pitfalls:Confusing zero bending moment at supports of simple spans with internal points of contraflexure.
Final Answer:Point of contraflexure