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106_Problem CHAPTER 9

# 106_Problem CHAPTER 9 - PROBLEM 9.90 For the angle cross...

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PROBLEM 9.90 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 1 L5 3 -in. 2 × × angle cross section of Problem 9.78 SOLUTION From Problems 9.78 and 9.84 4 2.81 in xy I = 4 9.45 in x I = 4 2.58 in y I = Then ( ) 4 1 6.015 in 2 x y I I + = ( ) 4 1 3.435 in 2 x y I I = Equation (9.25): ( ) 2 2 2.81 tan 2 0.8180 9.45 2.58 xy m x y I I I θ = − = − = − Then 2 39.2849 and
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