PROBLEM 9.147 Determine the moment of inertia of the steel machine element shown with respect to (a) the xaxis, (b) the yaxis, (c) the zaxis. (The specific weight of steel is 490 lb/ft3.) SOLUTION Have STSTmVVgδρ==Then ()33312490 lb/f1ft314in12 in.32.2 ft/stm=××××32105.67610lb s /ft−⋅3333222490 lb/ft1.512 in26.41910lb s /ft12 in.32.2 ft/sm−×××=×⋅332232490 lb/ft0.51.5 in5.187410 lb s /ft212in.32.2 ft/smπ××=×⋅332342490 lb/ft1.40.4 in2in.32.2 ft/sm××10.8491 10lb s /ft−⋅(a) Using Fig. 9.28 for components 1 and 2 and the equations derived above for components 3 and 4, have ( ) ( ) ( )1234xxx xxIIIII=++−where () ( )222211141ft105.67610lb s /ft14in122212 in.
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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.