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119_Problem CHAPTER 9

119_Problem CHAPTER 9 - PROBLEM 9.99 Using Mohr's circle...

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PROBLEM 9.99 Using Mohr’s circle, determine for the area indicated the orientation of the principal centroidal axes and the corresponding values of the moments of inertia. Area of Problem 9.76 SOLUTION From the solution to Problem 9.76 4 576 in xy I = Now () () ( ) ( ) ( ) 123 2 3 ,w h e r e x xx x x x I III I I =−− = () ( ) 43 4 1 15 in. 2 9 in. 6 in. 39761 324 in 41 2 π  =− =   4 39,437 in = and ( ) ( ) ( ) ( ) ( ) 2 3 h e r e yy y y y y I I I = 2 11 15 in. 2 6 in. 9 in. 9 in. 6 in. 6 in. 6 2
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