45_Problem CHAPTER 9

45_Problem CHAPTER 9 - PROBLEM 9.46 Determine the polar...

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PROBLEM 9.46 Determine the polar moment of inertia of the area shown with respect to ( a ) point O , ( b ) the centroid of the area. SOLUTION First locate centroid Symmetry implies 0 Y = ( )( ) 11 0 20 in. 12 in. xA == π ( ) 2 240 in = ( ) () 2 49 in . 12 in. 3 x ( ) 2 2 2 9in. 40.5 2 A =− ( ) 3 46 . 8 in. 3 x ππ 2 2 3 6in. 18 2 A Then ( ) ( ) 22 2 2 8in. 0 240 in 12 in. 40.5 in
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