105_Problem CHAPTER 9

105_Problem CHAPTER 9 - PROBLEM 9.89 For the angle cross...

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PROBLEM 9.89 For the angle cross section indicated, determine the orientation of the principal axes at the origin and the corresponding values of the moments of inertia. The L76 × 51 × 6.4-mm angle cross section of Problem 9.74 SOLUTION From Problems 9.74 and 9.83 64 0.166 10 mm x I 0.453 y I 0.1596 xy I =− × Then () 1 0.3095 2 xy II += × 1 0.1435 2 −= × Equation (9.25): ( ) 6 6 20 . 1 5 9 61 0 2 tan 2 1.1122 0.166 0.453 10 xy m I θ −× Then 2 48.041 and 131.96 m ° ° or 24.0 and 66.0 m = −° ° W Also, Equation (9.27):
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