Two PFC Channel2 are welded together to form the composite section as shown in Figure (a). The channel properties are given in Figure (b)

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Two PFC Channel2 are welded together to form the composite section as shown in Figure (a). The channel properties are given in Figure (b) where x and y indicate centroidal axes. a) Figure (a) y. Figure (b) Table: PFC Channel A d br tf Channel X y mm mm mm mm 1 10 -234567899 380PFC 27.5 7030 380 100 17.5 300PFC 27.2 5110 300 90 16 250PFC 28.6 4520 250 90 15 230PFC 22.6 3200 230 75 12 200PFC 24.4 2920 200 75 180PFC 24.5 2660 180 75 150PFC 24.9 2250 150 75 125PFC 21.8 1520 125 65 100PFC 16.7 1060 100 75PFC 13.7 754 75 40 223266 12 11 9.5 7.5 50 6.7 4.2 6.1 32 S666222 tw Ixo lyo mm (x106 mm) (x106 mm) 10 152 6.48 8 72.4 4.04 8 45.1 3.64 6.5 26.8 1.76 19.1 1.65 14.1 1.51 8.34 1.29 4.7 3.97 0.658 1.74 0.267 3.8 0.683 0.12 Determine the location of the centroid with respect to the point P; y = mm x = mm a) Determine the location of the centroid with respect to the point P; y = x = mm mm b) Determine the moment of inertia I., with respect to the centroidal axes. xx = x106 mm c) lyy = x106 mm Compute the radius of gyration rx and rx rx = ry mm mm