Beam-Column with Several Lateral and Continuous Loads — Lesson 1

This lesson covers the concept of beam-column deflection under various load conditions. It starts with the general expression of the elastic curve when a transverse load is applied at a variable distance from one end of the beam-column, along with the axial load. The lesson then extends this concept to cases of several lateral loads and continuous lateral load acting on the compression beam. It explains how to calculate the total displacement by considering the effect of each load. The lesson also discusses how to find the net displacement due to a number of transverse loads and how to calculate deflection when a beam-column is subjected to uniformly distributed load.

Video Highlights

00:30 - Explanation of the concept of transverse load applied at a variable distance
07:19 - Discussion on the beam-column problem when subjected to a single point load
15:24 - Explanation of the contribution of the left load, uniformly distributed load
20:12 - Explanation of the influence of longitudinal load on the deflection

Key Takeaways

- The general expression of the elastic curve is derived when a transverse load is applied at a variable distance from one end of the beam-column along with the axial load.
- The total displacement is the summation of the effect of each load.
- The net displacement due to a number of transverse loads can be calculated.
- The deflection when a beam-column is subjected to uniformly distributed load can be calculated by expressing the load as closely spaced point loads.
- The deflection at the center of the beam-column can be calculated by substituting x=L/2 in the derived expression.