129_Problem CHAPTER 9

129_Problem CHAPTER 9 - PROBLEM 9.107 Using Mohr's circle...

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PROBLEM 9.107 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 9.13B: 64 7.20 10 mm , 2.64 10 mm xy II Have ( ) ( ) 12 , where and 0 xy xy xy xy x y x y I I Ix y A I ′′ =+ = + = Now 11 102 12.7 25.3 25.7 mm, 50.3 43.95 mm 22 =−= =− = 2 1 102 12.7 1295.4 mm A = () ( ) 12.7 1 25.3 18.95 mm 152 12.7 50.3 12.7 32.05 mm  =  
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