The behavior of the moment-curvature relationship at a plastic hinge can be described as________________?
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Answer: C. constant moment for all curvatures
Explanation
A plastic hinge forms when a structural section reaches its full plastic moment capacity under increasing loads. Once this ultimate moment level is attained, the section rotates freely while maintaining a constant moment magnitude. The moment-curvature curve therefore plateaus horizontally, indicating constant moment capability across indefinitely increasing curvatures. Plastic analysis evaluates structural steel frameworks based on their ultimate load-carrying capacity rather than elastic limits. A plastic hinge allows adjacent structural members to rotate relative to each other once yield stress spreads entirely. Curvature measures the rate of rotation along a beam per unit length under applied bending moments.
A linear moment-curvature relationship describes purely elastic behavior before the onset of material yielding. Parabolic behavior does not represent the idealized rigid-plastic or elastic-plastic models used in structural collapse calculations. Constant curvature for all moments describes a theoretical condition opposite to the actual plastic hinge rotation mechanism.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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