In matrix structural analysis, what is the purpose of static condensation?
Correct answer: D. To reduce the system by eliminating selected internal degrees of freedom
- A. To remove all applied loads before solving the structure
- B. To calculate member stresses without assembling a stiffness matrix
- C. To convert every flexible support into a fixed support
- D. To reduce the system by eliminating selected internal degrees of freedom
Explanation
Static condensation eliminates selected degrees of freedom algebraically and produces a smaller system for the remaining primary coordinates. The eliminated displacements and member actions are recovered afterward from the solved primary quantities.
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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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