123_Problem CHAPTER 9

123_Problem CHAPTER 9 - PROBLEM 9.102 Using Mohr's circle...

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PROBLEM 9.102 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 9.75 SOLUTION From Problems 9.75 and 9.82 64 0.70134 10 mm , 7.728 1.5732 10 mm xy x y II I = × = × Now () ave 11 0.70134 7.728 4.2147 22 I =+ = + × = × and 2 2 6 2 26 0.70134 7.728 10 1.5732 10 xy RI   −× = + ×     3.8495 Define points ( ) 6 0.70134, 15732 X × ( ) 6 7.728, 1.5732 Y Also ( ) 1 21 .5732 2 tan 24.122 , 12.06 0.70134 7.728
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