88_Problem CHAPTER 9

88_Problem CHAPTER 9 - PROBLEM 9.77 Using the parallel-axis...

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PROBLEM 9.77 Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes. SOLUTION Have xy x y I Ix y A ′′ =+ Where 0 xy I = for each rectangle Then ( ) ( ) ( ) 123 x yx y x y x y II I I =++ x yA = Σ Now ( ) 1 178.4 mm 160 mm 18.4 mm x =− 1 60 mm 12.2 mm 47.8 mm y = 2 1 320 mm 120 mm 38400 mm A =×= and ( ) 2 178.4 mm 30 mm 208.4 mm x + 2 40 mm 12.2 mm 27.8 mm y = 2 2 60 mm 80 mm 4800 mm A and ( ) 3 320 mm 178.4 mm 40 mm 101.6 mm x = ( ) 3 12.2 mm 105 mm 117.2 mm y
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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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