Beams – Definition of an overhanging beam An overhanging beam must necessarily extend beyond the supports on both sides. Decide whether this statement is correct.

Introduction / Context:An overhanging beam is commonly encountered in structural analysis. Clarifying its definition helps in selecting the proper boundary conditions and internal force diagrams.

Given Data / Assumptions:

• Beam has at least two supports (typically simple supports).
• An overhang is a portion of the beam that extends beyond a support.

Concept / Approach:A beam is termed “overhanging” if it projects beyond a support on one or both sides. The presence of even a single overhang (on one side only) qualifies it as an overhanging beam. Overhanging beams differ from pure simply supported beams and cantilevers in reaction and moment distributions.

Step-by-Step Solution:Define: overhanging beam → extension beyond a support.Case 1: Overhang on one side only → still an overhanging beam.Case 2: Overhangs on both sides → also an overhanging beam, but not mandatory.Therefore, the claim that both sides are required is incorrect.

Verification / Alternative check:Textbook examples show single-side overhangs producing hogging moments near the support and sagging moments on the span, confirming the classification.

Why Other Options Are Wrong:“True only for cantilevers” confuses cantilever (fixed end) with overhangs; “Depends on load position” is irrelevant to the definition; “True only for propped cantilevers” is unrelated.

Common Pitfalls:Assuming symmetry is required; mixing the term with cantilevered members fixed at one end.

Final Answer:Incorrect