A PFC Channell and a universal beam (UB) Section2 (See Table 1) are welded together to form the composite section as shown in Figure (a). The individual sectional properties are given in Figure (b) and (c) where x, and y, indicate centroidal axes. I Figure (a) (dimension not to scale) Figure (b) UB Section -X+ Figure (c) PFC Table 1. Sectional properties UB Section A d br 4 bu lxo Section X y 1 610UB125 2 610UB113 mm mm mm 16000 612 229 14500 607 228 mm 19.6 mm 11.9 (x108 mm) (x106 mm) 986 39.3 17.3 11.2 875 34.3 3 610UB101 13000 602 228 14.8 10.6 761 29.3 4 530UB92.4 5 530UB82 10500 11800 533 209 15.6 10.2 528 209 13.2 9.6 554 23.8 477 20.1 PFC Channel A d b- 4 t Channel mm 1 380PFC 27.5 mm 7030 380 100 17.5 mm mm mm (x10 mm) lyo (x108 mm) 10 152 6.48 2 300PFC 27.2 5110 300 90 16 8 72.4 4.04 3 250PFC 28.6 4520 250 90 15 8 45.1 3.64 a) Determine the location of the centroid with respect to the point P; y = mm b) Determine the moment of inertia I,, with respect to the centroidal axes. 1xx = x106 mm c) Compute the radius of gyrationrx rx= mm