285_Problem CHAPTER 9

285_Problem CHAPTER 9 - PROBLEM 9.188 Determine the moments...

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PROBLEM 9.188 Determine the moments of inertia x I and y I of the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB. SOLUTION First locate centroid C of the area. 2 ,in A ,in. x y 3 xA 3 yA 1 3.6 0.5 1.8 × = 1.8 0.25 3.24 0.45 2 0.5 3.8 1.9 × = 2.4 0.475 4.56 3 1.3 1 1.3 × = 0.65 4.8 0.845 6.24 Σ 5.0 4.560 11.25 Then 23 : (5 in ) 4.560 in XA x A X Σ=Σ = or 0.912 in. X = And :( 5 i n ) 1 1 . 2 5 i n YA y A Y = or 2.25 in. Y = Now ( ) ( ) ( ) 123 x xx x I III =++ where () ( ) 2 3 2 1 1 3.6 in. 0.5 in. 1.8 in 2.25 0.25 in. 12 x I =+
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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