How to determine the horizontal coordinate of the centroid of a trapezoidal distributed load.

Step-by-step derivation of the centroid formula for a trapezoid using an intuitive method that involves dividing the shape into a rectangle and a triangle. In this video, we'll break down the geometry, find the centroids of each component, and combine them to arrive at the final formula

[@markcyril5269]

Sir how about if i start my moment arm from the pin support?

[@johnbruzzo]

Hi, you just need to change the values of the distances to each one of figures' centroids. For example, in the video, we have the triangle centroid locate at 1/3 of L. In your approach, this would change to 2/3 of L. The rectangle centroid position remains the same. Doing this substitution will give you the position of the trapezoid centroid from the pin support. I hope it helps.