In: Civil Engineering
The shorter legs of two 6”x 4” x 1⁄2” angles are welded
to a 12”-20.7-lb channel. Determine the moments of
inertia of the combined section with respect to
centroidal axes respectively parallel and
perpendicular to the web of the channel.
Solution) As have to find the centroid and moment of inertia of a given section thus by constructing the section according to the given details in the question and using the section appropriately we can make the section then Centroid can be find out by using the dimensions of the sections. Now to find the moment of inertia of the section along parallel and perpendicular to the web of channel we can use parallel axis theorem as shown in the following solution -