In Rayleigh's method for estimating the fundamental frequency of a structure, the assumed displacement shape should satisfy which condition?
Correct answer: A. It must satisfy the essential support conditions
- A. It must satisfy the essential support conditions
- B. It must satisfy equilibrium at every internal point
- C. It must contain no bending deformation
- D. It must be identical to every higher mode
Explanation
Rayleigh's method uses an assumed deflected shape that must satisfy the essential, or geometric, boundary conditions. It need not satisfy the exact internal equilibrium equations, which is why the result is approximate.
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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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