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APFC Channell and a universal beam (UB) Section5 (See Table 1) are welded together to form the composite section as shown in Figure (b). The

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APFC Channell and a universal beam (UB) Section5 (See Table 1) are welded together to form the composite section as shown in Figure (b). The individual sectional properties are given in Figures (c) and (d) where xo and yo indicate centroidal axes. Determine the largest uniformly distributed load w that can be applied, if the allowable stress is 100 MPa in tension and 120 MPa in compression for the cantilever beam of 4 m long. W >a -L m- ba I (a)Cantilever beam (b) section a-a -b, y (c) UB Section (d) PFC Section Figure 3. Table 1. Sectional properties UB Section Section X y A d tw mm mm mm mm mm (x105 mm#) (x105 mm4) 1 610UB125 16000 612 229 19.6 11.9 986 39.3 2 610UB113 14500 607 228 17.3 11.2 875 34.3 610UB101 13000 602 228 14.8 10.6 761 29.3 530UB92.4 11800 533 209 15.6 10.2 554 23.8 5 530UB82 10500 528 209 13.2 9.6 477 20.1PFC Channel Channel bf X y A lye mm? mm mm mm mm (x108 mm4) (x108 mm4) 1 380PFC 27.5 7030 380 100 17.5 10 152 6.48 2 BOOPFC 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; J = mm Submit par Unanswer b) Determine the moment of inertia I. with respect to the centroidal axes. x105 mm* Submit par Unanswer c) Compute the radius of gyration x = mm Submit par Unanswer d) Determine the largest uniformly distributed load w that can be applied, if the allowable stress is 100 MPa in tension and 120 MPa in compression. W= kN/m

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