49_Problem CHAPTER 9

49_Problem CHAPTER 9 - PROBLEM 9.48 Determine the polar...

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PROBLEM 9.48 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 11 100 mm 28.75 mm xy == ( )( ) 2 1 400 mm 57.5 mm 23 000 mm A 22 100mm 80mm () 2 2 1 300 mm 240 mm 36 000 mm 2 A 33 50 mm 40 mm 2 3 1 150 mm 120 mm 9000 mm 2 A =− Then ( ) ( ) ( ) ( ) ( ) 2 2 100 mm 23 000 mm 100 mm 36 000 mm 50 mm 9000 mm 23 000 mm 36 000 mm
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