34_Problem CHAPTER 9

34_Problem CHAPTER 9 - PROBLEM 9.39 The centroidal polar...

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PROBLEM 9.39 The centroidal polar moment of inertia C J of the 32 15.5 10 mm × shaded region is 64 250 10 mm × . Determine the polar moments of inertia B J and D J of the shaded region knowing that 2 DB JJ = and 100 d = mm. SOLUTION Have 2 B CC B JJA d =+ and 2 DC C D d Now 2 = Then ( ) 22 2 D B JA d d +=+ Now () 2 2 2 2 and 2 CB CD da d d a d = + Substituting ( ) ( ) 42 C A ad J A += + + or 1 2 C J A    2 2 1 250 10 mm 100 mm 13064.5 mm 2 15.5 10 mm  × =  ×  or 114.300 mm a = Then ( ) ( ) 250 10 mm 15.5 10 mm 114.300 mm 100 mm B J
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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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