A three hinged arch is classified as statically determinate because its internal hinge at the crown
Correct answer: D. provides an additional equilibrium condition
- A. prevents all horizontal movement
- B. makes the arch behave as a beam
- C. eliminates the vertical reactions
- D. provides an additional equilibrium condition
Explanation
The zero moment condition at the crown hinge supplies an additional equation, allowing the reactions to be found from equilibrium alone. A three hinged arch is therefore statically determinate.
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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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