For a three-hinged arch, the horizontal thrust can be found by dividing the simply supported beam moment at the crown by what quantity?

Correct answer: B. The rise of the crown hinge above the springing chord

  • A. The span of the arch
  • B. The rise of the crown hinge above the springing chord
  • C. The vertical reaction at either support
  • D. The total applied load on the arch

Explanation

At the crown hinge, the arch bending moment is zero. Equating the arch moment to the simply supported beam moment minus the horizontal thrust multiplied by the crown rise gives H equal to M0 divided by yC.

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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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