211_Problem CHAPTER 9

211_Problem CHAPTER 9 - PROBLEM 9.151 Determine the...

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PROBLEM 9.151 Determine the products of inertia I xy , I yz , and I zx of the steel machine element shown. (The specific weight of steel is 490 lb/ft 3 .) SOLUTION From the solution to Problem 9.147 32 13 105.676 10 lb s /ft 5.1874 10 lb s /ft mm −− = × 24 26.419 10 lb s /ft 10.8451 10 lb s /ft = × First note that symmetry implies 0 xy yz zx III ′′ === for each component Now uv u v I Im u v m u v =+ = so that () body uv I mu v Then 1.5 0.5 0.75 0.5 105.676 10 lb s /ft ft ft 26.419 10 lb s /ft ft ft 12 12 12 12 xy x y  = × + ×   0.75 0.5 5.1874 10 lb s /ft ft ft 12 12 41 . 4 i n . 1
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