Moment Equation for Continuous Beam-Column with Intermediate Column — Lesson 4

This lesson covers the concept of beam-column bending, focusing on the bending produced by two equal couples, both symmetric and antisymmetric. It delves into the derivation of the three-moment equation for a continuous beam with axial load and for supports not on the same level. The lesson also discusses the analysis of a continuous beam subjected to axial load with supports at different levels. It provides a detailed explanation of the three-moment equation, the influence of axial load, and the calculation of relative rotation at different nodes. The lesson concludes with the solution of the three-moment equation to find the unknown moments.

Video Highlights

00:29 - Introduction to 2 span continuous beam with axial load
09:15 - Explanation of the 3 moment equation
15:12 - Discussion on the case when continuous beam is not in a straight line
27:24 - Solution of the equations to find the unknown moments

Key Takeaways

- The bending of a beam-column can be produced by two equal couples, resulting in symmetric or antisymmetric bending.
- The three-moment equation can be derived for a continuous beam with axial load and for supports not on the same level.
- The analysis of a continuous beam subjected to axial load involves calculating the relative rotation at different nodes.
- The influence of axial load on the beam is significant and needs to be considered in the analysis.
- The solution of the three-moment equation allows for the determination of unknown moments.