113_Problem CHAPTER 9

113_Problem CHAPTER 9 - PROBLEM 9.95 Using Mohr's circle,...

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PROBLEM 9.95 Using Mohr’s circle, determine the moments of inertia and the product of inertia of the L76 × 51 × 6.4-mm angle cross section of Problem 9.74 with respect to new centroidal axes obtained by rotating the x and y axes through o 45 clockwise. SOLUTION From Problems 9.74 and 9.83 64 0.166 10 mm x I 0.453 y I 0.1596 xy I =− × Now () ave 1 0.3095 2 xy II I =+ = × and 2 2 2 xy RI    0.21463 Then ( ) 1 20 . 1 5 9 6 2t a n 4 8 . 0 4 0.166 0.453 m θ  −− = °   and 90 2 90 ; 2 m − =° = α θα Then ( )
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