78_Problem CHAPTER 9

78_Problem CHAPTER 9 - PROBLEM 9.68 Determine by direct...

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PROBLEM 9.68 Determine by direct integration the product of inertia of the given area with respect to the x and y axes. SOLUTION At 2 ,: x ay b a k b == = or 2 a k b = Then 2 2 a x y b = Have EL EL xy x y dI dI x y dA ′′ =+ where () 2 EL 2 1 0 symmetry 2 2 xy a dI x x y b = 2 EL 2 a y y dA xdy y dy b = Then 22
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