For the three-moment theorem (Clapeyron''s) applied to a continuous beam, the equation relates moments at:
Choose the correct answer
Two adjacent span midpoints only
Three consecutive support points (MA, MB, MC) considering loading on two adjacent spans
End supports only
Only the fixed end and midspan
Correct Answer
B. Three consecutive support points (MA, MB, MC) considering loading on two adjacent spans
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Three-moment theorem (Clapeyron''s): MA·L1/I1 + 2MB·(L1/I1 + L2/I2) + MC·L2/I2 = −6A1·a1/(L1·I1) − 6A2·b2/(L2·I2). Relates moments at three consecutive supports (MA, MB, MC) to loading on adjacent spans. Applied span by span to solve indeterminate continuous beams.
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