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51_Problem CHAPTER 9 - PROBLEM 9.49 Two 1-in steel plates...

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PROBLEM 9.49 Two 1-in. steel plates are welded to a rolled S section as shown. Determine the moments of inertia and the radii of gyration of the section with respect to the centroidal x and y axes. SOLUTION S-section 2 14.7 in A = 4 305 in x I = 4 15.7 in y I = plate 2 S A A A = + ( )( ) 2 2 14.7 in 2 8 in. 1in. 30.7 in = + = ( ) ( ) plate 2 x x x S I I I = + ( )( ) ( )( )( ) 3 2 4 8 in. 1in. 305 in 2 8 in. 1in. 6.5 in. 12 = + + ( ) 4 4 305 677.33 in 982.33 in = + = or 4 9.82 in x
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