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104_Problem CHAPTER 9

104_Problem CHAPTER 9 - PROBLEM 9.88 For the area indicated...

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PROBLEM 9.88 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 9.75 SOLUTION From Problems 9.75 and 9.82 64 0.70134 10 mm x I 7.728 y I 1.5732 xy I Then () 1 4.2147 2 xy II += × 1 3.5133 2 −= × Equation (9.25): ( ) 6 66 21 .5732 10 2 tan 2 0.70134 10 7.728 10 xy I θ × =− ×− × 0.44778 = Then 2 24.12 and 204.12 m = °° or 12.06 and 102.1 m ° W Also, Equation (9.27):
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