131_Problem CHAPTER 9

131_Problem CHAPTER 9 - PROBLEM 9.108 For a given area the...

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PROBLEM 9.108 For a given area the moments of inertia with respect to two rectangular centroidal x and y axes are x I = 640 4 in and y I = 280 4 in , respectively. Knowing that after rotating the x and y axes about the centroid 60° clockwise the product of inertia relative to the rotated axes is 180 4 in , use Mohr’s circle to determine ( a ) the orientation of the principal axes, ( b ) the centroidal principal moments of inertia. SOLUTION Have () ( ) 44 4 ave 11 640 in 280 in 460 in 22 xy II I =+ = + = 4 640 in 280 in 180 in −= = Also have 4 180 in , 2 120 , x yx y I θ ′′ =− ° > Letting the points
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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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