Why is the Slope-Deflection Method considered more efficient than the Force Method for analysing indeterminate structures?

Explanation:

• The Slope-Deflection Method is more efficient than the Force Method because it reduces the number of equations and unknowns.
• It directly works with the displacement (rotation and deflection) at the supports, which simplifies the solution process when compared to the Force Method, where you need to deal with unknown forces and compatibility equations.

 Additional InformationSummary of Slope-Deflection Method 

• Used for analyzing indeterminate beams and frames.

• Based on the relationship between end moments of members and the rotations and displacements at their ends.

• Primary unknowns are joint rotations and displacements, not internal forces.

• Uses slope-deflection equations to express member end moments in terms of rotations, deflections, and fixed-end moments.

• Moment equilibrium is applied at joints to solve for unknown rotations.

• Involves fewer equations than the Force Method, making it more efficient for analyzing complex frames.

• Best suited for structures with multiple spans, frames with or without lateral sway, and beams under various loading conditions.

• Can become tedious for very large or highly complex structures, where matrix methods are preferred.

• Commonly introduced in structural analysis as a foundational method before moving to advanced techniques.