60_Problem CHAPTER 9

60_Problem CHAPTER 9 - PROBLEM 9.55 Two L127 76 12.7-mm...

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PROBLEM 9.55 Two L127 × 76 × 12.7-mm angles are welded to a 10-mm steel plate. Determine the distance b and the centroidal moments of inertia x I and y I of the combined section knowing that 3 yx I I = . SOLUTION Angle: 2 2420 mm A = 64 3.93 10 mm x I 1.074 10 mm y I Plate: ( )( ) 2 200mm 10mm 2000mm A == () ( ) 3 1 200 mm 10 mm 0.01667 10 mm 12 x I × ( ) 3 1 10 mm 200 mm 6.6667 10 mm 12 y I × Centroid 0 X = Ay Y A Σ = Σ or ( ) ( ) 22 3 2 2420 mm 44.5 mm 2000 mm 5 mm 205.380 mm 2 2420 2000 mm
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