Derivation of Slope Deflection Equations - Structural Analysis

Where do the slope deflections come from? How are they determined? This is the video for you.... If you're not curious about the detailed calculations for the derivation, just hit these three sections of the video to get the gist: Overview of Displacement Methods (0:26), Description of Displacements and Sign Convention (3:00), and the derivation summary (37:51). Here's a timeline below if you want to jump around....like House of Pain:

0:00 Introduction
0:26 Overview of Displacement Methods
2:28 Beginning of Slope-Deflection Equation Derivations
3:00 Description of displacements and positive sign convention
7:32 Deriving slope deflection equations
8:08 Slope (Rotation) theta_A, detailed calculations using the integration method
21:48 Slope (Rotation) theta_B
24:00 Chord Rotation psi = Delta/L, detailed calculations using the integration method
34:42 Fixed End Moments
37:51 Summary of derivation and getting final form of slope deflection equations