Computer · Structural Analysis
A two-span continuous beam AB and BC has supports A and C fixed, and support B as a roller. The span AB of length L carries a central concentrated load W. Assuming Young's modulus E and moment of inertia I are constant throughout, what are the slope-deflection equations formulated for the span AB? (Note: M represents moment, θ represents slope, and the fixed-end moments for span AB are MFAB = -WL/8 and MFBA = +WL/8 where WL/8 = 80/3)
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1MAB = 23EIθB - 803; MBA = 13EIθB + 1603
- 2MAB = 13EIθA + 803; MBA = 2EI3θB + 1603
- 3MAB = 13EIθB - 803; MBA = 2EI3θB + 1603✓
- 4MAB = 13EIθB + EIθA - 1603; MBA = 2EI3θB + EIθA + 803
Correct answer
MAB = 13EIθB - 803; MBA = 2EI3θB + 1603
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