A two span continuous beam with loadings as shown in Figure, with supports A and C as fixed and support B as roller. Assume Young's modulus of material and moment of inertia of sections constant throughout. The slope defection equations formulated for the span AB are: (Notations: M indicates moment and θ indicates the slope at the respective points)
1
MAB = 0.5EI θB + EI θA − 20 ; MBA = 2EI θB + EI θA + 20
2
MAB = 2EI θB + EI θA − 20 ; MBA = EI θB + 0.5EI θA + 20
3
MAB = EI θB − 20 ; MBA = 2EI θB + 20
4
MAB = 0.5EI θB − 20 ; MBA = EI θB + 20