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 zaxes. SOLUTION From Problem 9.147: 329.8821 10lb ft sxI−=×⋅⋅11.534410lb ft syI−=⋅2.187810lb ft szI−=⋅Problem 9.151: 0.4877610lb ft sxyI−=⋅1.18391 10lb ft syzI−=⋅2.6951 10lb ft szxI−=⋅Now xyzλλλ==and 2221xyzλλλ++=Therefore, 231x=or 13===Equation 9.46 OLx xyyz zxy x yyzy zzx z xIIIIIII=++−−−()222111119.882111.53442.18782 0.4877633333
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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.