242_Problem CHAPTER 9

242_Problem CHAPTER 9 - PROBLEM 9.168 Determine the moment...

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PROBLEM 9.168 Determine the moment of inertia of the steel machine element of Problems 9.147 and 9.151 with respect to the axis through the origin which forms equal angles with the x , y , and z axes. SOLUTION From Problem 9.147: 32 9.8821 10 lb ft s x I = ×⋅ 11.5344 10 lb ft s y I = 2.1878 10 lb ft s z I = Problem 9.151: 0.48776 10 lb ft s xy I = 1.18391 10 lb ft s yz I = 2.6951 10 lb ft s zx I = Now x yz λ λλ = = and 222 1 xyz λλλ + += Therefore, 2 31 x = or 1 3 === Equation 9.46 OL x x y y z z xy x y yz y z zx z x II I I I I I =++− () 22 2 11 1 1 1 9.8821 11.5344 2.1878 2 0.48776 33 3 3 3 
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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