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121_Problem CHAPTER 9

# 121_Problem CHAPTER 9 - PROBLEM 9.100 Using Mohr's circle...

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PROBLEM 9.100 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 9.73 SOLUTION From Problems 9.73 and 9.81 6 4 162.86 10 mm x I = × 6 4 325.72 10 mm y I = × 6 4 138.24 10 mm xy I = × Define points ( ) ( ) 6 4 6 4 162.86,138.24 10 mm 325.72, 138.24 10 mm X Y × × Now ( ) ( ) 6 4 ave 1 1 162.86 325.72 10 mm 2 2 x y I I I = + = + × 6 4 244.29 10 mm = × and ( ) ( ) 2 2 2 2 6 6 162.86 325.72 10 138.24 10 2 2 x y xy I I R I = + = × + × 6 4 160.44 10 mm = × and ( ) ( ) 6
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