PROBLEM 9.51 Two C250 ×30 channels are welded to a 250 ×52 rolled S section as shown. Determine the moments of inertia and the radii of gyration of the combined section with respect to its centroidal xand yaxes. SOLUTION Use Figure 9.13B (textbook) properties of rolled-steel shapes (SI units) to get the values for C250 and S250 shapes S25052 section:×26670 mmA=6461.210 mmxI=×3.5910 mmyIC25030 section:×23780 mmA=32.610 mmxI1.1410 mmyIHow, for the combined section: 2SCAAA=+( )266702 3780mm214 230 mm=( ) ( )2xxxIII( )66461.2102 32.610mm+×or 126.410 mm
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