Answer :
Final answer:
The centroid of the composite cross-section is located as a weighted average of the centroids of the channel and the wide-flange beam, based on their respective areas.
Explanation:
To locate the centroid of a beam's cross-section built up from a channel and a wide-flange beam, you need to determine the centroid of each individual shape and then find the combined centroid based on the areas and distances from a common reference axis.
This process involves calculating the centroids separately for the channel and wide-flange beam and then using the principle of moments to find the centroid of the composite section.
The centroid of the composite section will be a weighted average of the centroids of the individual shapes, based on their respective areas.
