00:01
We'll ask to determine the moment of, or the second area moment, and the radius of gyration of the shaded area with respect to the x -axis.
00:12
So our shaded area looks something like, like what i've sketched here.
00:17
And what we're going to do is break it up into three parts.
00:22
So the first part will be the center beam here, or the center section.
00:28
So this part here and then two will be this upper flange and three will be this lower flange.
00:39
So we can base, we can take find the area moments for each section and then add them up to find for the total.
00:50
And we want to do it about this x -axis here which is in the center of this vertical.
00:59
Member.
01:01
So the formula for the area moment of a rectangular shape about its centroid, which this is at, is one -third b -1h1 cube...