CIVIL TUTOR

Slope deflection method: Slope deflection method is a displacement method used for the analysis of beams and frames. This method was introduced by George A Maney and was significantly used for more than a decade until the development of the Moment distribution method. Steps involved in solving a problem by slope deflection method: 1.Determine the fixed end moments by considering each span as a fixed beam 2. Write the slope deflection equations for each span 3. Write the equilibrium equations for each joint 4. Solve the equilibrium equations and slope deflection equations for finding rotations(θ) and settlements (Δ) 5. Substitute the values of Δ and θ and find the final end moments (M) 6. Draw BMD and SFD Slope deflection equations for any member AB of span L. M AB = M FAB +2EI/L[2θ Α +θ Β -3δ/L] M BA = M FBA +2EI/L[θ A +2θ B -3δ/L] where, M AB  & M BA = Final end moments at ends A & B respectively in any member AB. M FAB   & M FBA = Fi...