Deflection of Beams using Moment-Area Method - Intro to Structural Analysis

Learn how to calculate the deflection of a beam using the Moment-Area Method! We define the basic theorems and equations first, and then follow up with two example problems.

The curvature of a beam is proportional to the moment, and the curvature is the second derivative of the displacement, so we should be able to use double integration to solve for the displacement. While that works, sometimes it's easier to consider the areas or (for the second integral) the moment of that area to compute displacements. Thus, the Moment-Area method!