Energy Methods MCQ with answer and solution

Concept

Limits of Maxwell's reciprocal theorem

Formula

δ_AB = δ_BA

Step-by-step solution

1. The theorem follows from Betti's law and the principle of superposition. 2. Superposition needs a linear relation between force and displacement.

Explanation

Maxwell's reciprocal theorem holds for structures that are linearly elastic (linear force-displacement relation), whether determinate or indeterminate. It does not apply to plastic structures or those with non-linear behaviour.

Shortcut

Maxwell/Betti = linear force–displacement.

Common mistake

Choosing "elastic structures" without noticing the linearity condition.