Analyzing Beam Bending Under Specific Conditions

The question describes an overhanging beam subjected to specific loading and stress conditions between its two supports. Let's analyze these conditions:

• Beam Type: Overhanging beam (extends beyond the supports).
• Supports: Two supports are present.
• Bending Moment (Between Supports): Constant.
• Shear Stress (Between Supports): No shear stress (implying zero shear force).
• Loading: Equal point loads at each end (outer ends of the overhangs).

Understanding Pure Bending

Pure bending occurs when a structural member is subjected only to a bending moment, with no accompanying shear force. This results in a constant bending moment across the section experiencing pure bending. The key characteristics are:

• Constant bending moment.
• Zero shear force.

Applying Conditions to Identify Bending Type

The conditions stated in the question – specifically, a constant bending moment and no shear stress (zero shear force) existing between the two supports – perfectly match the definition of pure bending in that segment of the beam. The equal loads at the ends cause this specific stress distribution between the supports.

Evaluating Other Options

• Pure Torsion: Involves twisting moments, not bending due to transverse loads.
• Twisting Moment: Refers to torsion, not the bending described.
• Sagging Bending Moment: Describes the nature (downward curvature) of the moment, but 'pure bending' is the specific stress state defined by constant moment and zero shear.

Therefore, the type of bending occurring between the supports under these conditions is pure bending.