In plastic analysis of a continuous beam, collapse occurs when enough plastic hinges form to create what condition?

Correct answer: B. A kinematic mechanism

  • A. A stable elastic frame
  • B. A kinematic mechanism
  • C. A zero-shear section
  • D. A statically determinate span

Explanation

A plastic hinge allows rotation at the plastic moment, and a sufficient number of such hinges can convert the structure into a mechanism. Once that mechanism forms, additional load causes collapse without a corresponding increase in resisting moment.

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Structural analysis determines how beams, frames, trusses and arches carry loads through reactions, shear forces, bending moments, axial forces and deflections. It covers free-body diagrams, equilibrium equations, determinacy, influence lines and methods such as slope deflection, moment distribution and virtual work, while distinguishing analysis of a structure from its design.

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