36_Problem CHAPTER 9

36_Problem CHAPTER 9 - PROBLEM 9.41 Determine the moments...

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PROBLEM 9.41 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 calculate the centroid C of the area From symmetry 0.6 in. 0.9 in. 1.5 in. Y =+= To compute X use the equation XA Ax = Σ or ()( ) () ( ) 22 1 3 5.4 in 2.7 in. 1.8 3.6 in 2.3 in. 2 1 3 5.4 in 1.8 3.6 in 2 X  ××   = ×− × 2.8 in. = The moment of inertia of the composite area is obtained by subtracting the moment of inertia of the triangle from the moment of inertia of the rectangle
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