Computer · Structural Analysis
For a two-span continuous beam ABC with fixed supports at A and C and a roller support at B, the fixed end moments for span AB are evaluated as MFAB = -20 kNm and MFBA = +20 kNm. Assuming the flexural rigidity EI is constant throughout, which of the following correctly represents the slope-deflection equations for the span AB?
- 1MAB = 0.5EIθB - 20 ; MBA = EIθB + 20
- 2MAB = EIθB - 20 ; MBA = 2EIθB + 20
- 3MAB = 4EIθA + 2EIθB - 20 ; MBA = 4EIθB + 2EIθA + 20
- 4MAB = 2EIθA + EIθB - 20 ; MBA = 2EIθB + EIθA + 20✓
Correct answer
MAB = 2EIθA + EIθB - 20 ; MBA = 2EIθB + EIθA + 20
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