Chapter 8, Problem 8.41SP

The area of the welded member shown is composed of a 4-in.-diameter standard weight pipe and four angles $\text{L2}\frac{1}{2}\times \text{2}\frac{1}{2}\times \frac{1}{4}$ . Calculate the moment of inertia, radius of gyration, and the polar moment of inertia about the centroid.