Classical analysis of indeterminate beams and frames.
Relates member end moments to rotations and relative displacements: M_AB=(2EI/L)(2θ_A+θ_B-3ψ)+FEM. Equilibrium of joints produces simultaneous equations. Handles indeterminate beams and frames with sway. Foundation of matrix stiffness method.
A two-span continuous beam is solved with two unknown joint rotations.
Slope-deflection analysis solves indeterminate frames by relating moments to rotations and displacements, which was a standard method before computers.
Classical analysis of indeterminate beams and frames.
Slope-deflection analysis solves indeterminate frames by relating moments to rotations and displacements, which was a standard method before computers.
End moments of a member to its end rotations and relative displacement, and the joint equilibrium gives a set of equations to solve.
It is mainly taught for understanding. Modern practice uses matrix methods in software, though the ideas remain useful.
Typical applications include analysing a multi-bay portal frame by hand for a design check, checking the moments in a continuous beam with settlement and understanding the logic behind computer frame analysis.
Study "Influence lines" first (topic 44 of 112 in Civil & Structural). It covers the groundwork this topic builds on.
Fixed end moments. Sway equations. Hand solution for small frames.
A two-span continuous beam is solved with two unknown joint rotations.
The next topic is "Moment distribution method", which builds directly on this one.
It is classed as Intermediate in Civil & Structural (topic 45 of 112). It is an intermediate topic. Work through the beginner topics in Civil & Structural first.
Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.