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128_Problem CHAPTER 9

128_Problem CHAPTER 9 - PROBLEM 9.106 Using Mohr's circle...

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PROBLEM 9.106 Using Mohr’s circle, determine for the cross section of the rolled-steel angle shown the orientation of the principal centroidal axes and the corresponding values of the moments of inertia. (Properties of the cross sections are given in Fig. 9.13.) SOLUTION From Figure 9.13 4 9.45 in x I = 4 2.58 in y I = From Problem 9.78 4 2.81 in xy I = − The Mohr’s circle is defined by the diameter XY where ( ) 4 9.45, 2.81 in X ( ) 4 2.58, 2.81 in Y Now ( ) ( ) 4 4 ave 1 1 9.45 in 2.58 in 2 2 x y I I I = + = + 4 6.015 in = and ( ) 2 2 1 2 x y xy R I I I = +
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