The 'Betti''s theorem' in structural analysis states that for a linear elastic structure:
Choose the correct answer
Maximum displacement occurs under maximum load
Work of system 1 loads through system 2 displacements = work of system 2 loads through system 1 displacements
All displacements are zero at equilibrium
Deflections are always proportional to load
Correct Answer
B. Work of system 1 loads through system 2 displacements = work of system 2 loads through system 1 displacements
AI Detailed Explanation & IS Code Reference
Unlock the reasoning, formula path and code-linked notes inside your student dashboard.
Betti''s theorem: work done by first system of loads through displacements of second system = work done by second system through displacements of first. Mathematically: P1·δ12 = P2·δ21 or W12 = W21. Extension of Maxwell''s reciprocal (Maxwell is special case with P1=P2=1). Used to prove Maxwell, derive influence lines, and develop flexibility matrices.
ScoreCardAI links this solution with subject, topic and difficulty signals so your scorecard can identify weak areas after a full mock test.
Practice more Civil Engineering questions
This MCQ belongs to JE Level Premium Test Series. Full tests include timed attempts, rank comparison and subject-wise analysis.