44_Problem CHAPTER 9

44_Problem CHAPTER 9 - PROBLEM 9.45 Determine the polar...

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PROBLEM 9.45 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 C of the area 2 ,in A ,in. y 3 yA 1 () 2.7 1.8 7.6341 2 π = 0.76394 5.8319 2 2 0.9 1.2723 2 −= 0.38197 0.4860 Σ 6.3618 5.3460 Then : YA y A Σ= Σ 2 2 5.3460 in 0.84033 in. 6.3618 in Y == ( a )
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