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103_Problem CHAPTER 9

103_Problem CHAPTER 9 - PROBLEM 9.87 For the area indicated...

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PROBLEM 9.87 For the area indicated, determine the orientation of the principal axes at the origin and the corresponding values of the moments of inertia. Area of Problem 9.73 SOLUTION From Problems 9.73 and 9.81 64 51.84 10 mm x I π 103.68 y I 138.24 xy I Equation (9.25): ( ) 6 66 2138 .24 10 2 tan 2 51.84 10 103.68 10 xy m xy I II θ ππ × =− ×− × 1.69765 = 2 59.500 and 239.500 m ° or 29.7 and 119.7 m = °° W Then () 2 2 max, min 1 22 x yx y I I  =+ ± + 
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