In a 'two-span continuous beam' of equal spans L under central UDL w/unit length, the hogging moment over the central support is:
Choose the correct answer
wL²/12
wL²/8 — hogging over interior support; three-moment theorem result for equal spans UDL
wL²/4
wL²/16
Correct Answer
B. wL²/8 — hogging over interior support; three-moment theorem result for equal spans UDL
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Two-span continuous beam (EI uniform): hogging moment at interior support = wL²/8 per span by Clapeyron 3-moment theorem. Full distribution: R_A=3wL/8, R_B=5wL/4 (central), R_C=3wL/8; M at B = +wL²/8 (hogging). Maximum sagging = 9wL²/128 at 3L/8 from each end. Three-moment theorem (Clapeyron): for uniform EI and equal spans with UDL: M_B = wL²/8.
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