54_Problem CHAPTER 9

54_Problem CHAPTER 9 - PROBLEM 9.51 Two C250 30 channels...

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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 x and y axes. SOLUTION Use Figure 9.13B (textbook) properties of rolled-steel shapes (SI units) to get the values for C250 and S250 shapes S250 52 section: × 2 6670 mm A = 64 61.2 10 mm x I 3.59 10 mm y I C250 30 section: × 2 3780 mm A = 32.6 10 mm x I 1.14 10 mm y I How, for the combined section: 2 SC A AA =+ ( ) 2 6670 2 3780 mm   2 14 230 mm = ( ) ( ) 2 xx x I II ( ) 66 4 61.2 10 2 32.6 10 mm + × or 126.4 10 mm
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