The 'Maxwell''s reciprocal theorem' states that for a linear elastic structure:
Choose the correct answer
Maximum moment = maximum shear in all cases
Displacement at i due to unit load at j equals displacement at j due to unit load at i (δij=δji)
Reactions are always equal at all supports
Temperature causes same stress as equivalent mechanical load
Correct Answer
B. Displacement at i due to unit load at j equals displacement at j due to unit load at i (δij=δji)
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Maxwell''s theorem: δij = δji where δij = displacement at point i due to unit load at j; δji = displacement at j due to unit load at i. Powerful simplification: only half the flexibility matrix needs computation. Proof: from Betti''s theorem (work of P1 through δ_due_to_P2 = work of P2 through δ_due_to_P1). Foundation of flexibility (force) method.
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