PROBLEM 9.112 Using the invariance property established in the preceding problem, express the product of inertia xyIof an area Awith respect to a pair of rectangular axes through Oin terms of the moments of inertia xIand yIof Aand the principal moments of inertia minIand maxIof Aabout O. Use the formula obtained to calculate the product of inertia xyIof the 76 ×51 ×6.4-mm angle cross section shown in Fig. 9.13B knowing that its maximum moment of inertia is 3452410 mm .×SOLUTION (a) (b) From Problem 9.111 have, constantxyxyIII′′′′−=Now consider the following two cases Case1: , xyxyxyII′′′′===Case2:
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