Civil Engineering MCQAE Level Civil Engineering

Maxwell's reciprocal theorem states that for a linear elastic structure:

Structural AnalysisMaxwell TheoremMEDIUM

Choose the correct answer

A

The stiffness matrix is diagonal

B

Deflection at point i due to unit load at j equals deflection at j due to unit load at i

C

Internal work equals external work

D

Strain energy is minimum at equilibrium

Correct Answer

B. Deflection at point i due to unit load at j equals deflection at j due to unit load at i

Why is this the answer?

Maxwell's reciprocal theorem: f_ij = f_ji, i.e., the displacement at coordinate i due to a unit force at j equals the displacement at coordinate j due to a unit force at i.

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