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A PFC Channel3 and a universal beam (UB) Section4 (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 5 m long. W I (b) section a-a (d) PFC Section m- a (a)Cantilever beam X E (c) UB Section

Figure 3. 1 2 3 4 5 1 2 3 Section 610UB125 610UB113 610UB101 530UB92.4 530UB82 Channel 380PFC 300PFC 250PFC X X 27.5 27.2 28.6 Table 1. Sectional properties UB Section tw y A d bf tf mm² mm mm mm mm 16000 612 229 19.6 11.9 14500 607 228 17.3 11.2 13000 602 11800 533 209 15.6 10.2 10500 528 209 13.2 9.6 228 14.8 10.6 PFC Channel A d bf tf tw mm² mm mm mm mm 7030 380 100 17.5 5110 300 90 16 4520 250 90 15 y - 1088 Ixo (x106 mm²) 986 875 761 554 477 Ixo. (x106 mm4) 152 72.4 45.1 lyo (x106 mm4) 39.3 34.3 29.3 23.8 20.1 lyo (x106 mm4) 6.48 4.04 3.64

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. x106 mm4 Compute the radius of gyrationrx rx = mm Submit part Unanswered Submit part Unanswered Submit part Unanswered

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