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 = 64 32.6 10 mm x I 1.14 10 mm y I Now ( ) ( ) plate 2 xx x C II I =+ ( ) () 3 232 .6 10 mm 300mm 12 d + ( ) 66 4 65.2 10 2.25 10 mm d + × And ( ) ( ) channel plate 2 yy y I 2 3 2 300mm 2 1.14 10 mm 3780 mm 15.3 mm 21 2 d d   + + +     ( ) 63 6 3 4 2.28 10 1890 115.668 10 1.7697 10 25
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