Civil Engineering MCQAE Level Civil Engineering

The principle of virtual work for a structure states that at equilibrium, the external virtual work done by real forces through virtual displacements equals:

Structural AnalysisExternal Virtual WorkMEDIUM

Choose the correct answer

A

Zero

B

Internal virtual work (Σ M δκ dx or Σ F δu)

C

Total strain energy

D

Total potential energy

Correct Answer

B. Internal virtual work (Σ M δκ dx or Σ F δu)

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Virtual work principle: Σ(P_i × δ_i) = internal virtual work (∫Mδ(1/R)dx for beams, or Σ F_i δu_i for trusses). This holds for any equilibrium configuration.

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