56_Problem CHAPTER 9

# 56_Problem CHAPTER 9 - PROBLEM 9.52 Two channels are welded...

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PROBLEM 9.52 Two channels are welded to a d × 300-mm steel plate as shown. Determine the width d for which the ratio / x y I I of the centroidal moments of inertia of the section is 16. SOLUTION Channel: 2 3780 mm A = 6 4 32.6 10 mm x I = × 6 4 1.14 10 mm y I = × Now ( ) ( ) plate 2 x x x C I I I = + ( ) ( ) 3 6 4 2 32.6 10 mm 300 mm 12 d = × + ( ) 6 6 4 65.2 10 2.25 10 mm d = × + × And ( ) ( ) channel plate 2 y y y I I I = + ( ) ( ) 2 3 6 4 2 300mm 2 1.14 10 mm 3780 mm 15.3 mm 2 12 d d = × + + + ( ) 6 3 6 3 4 2.28 10 1890 115.668 10 1.7697 10 25 mm
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