For a three hinged arch subjected to loading, the bending moment at the crown hinge is

Correct answer: D. zero because the hinge cannot resist moment

  • A. equal to the maximum span moment
  • B. equal to the horizontal thrust
  • C. zero only when the loading is symmetrical
  • D. zero because the hinge cannot resist moment

Explanation

An ideal internal hinge cannot transmit bending moment, so the moment at the crown hinge is zero for any loading arrangement. Symmetry is not required for this condition.

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About Structural Analysis

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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