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The beam AB is a composite section and is formed by welding a PFC Channel2 and a universal beam (UB) Section1 (See Table 1) together as shown in Figure 2(b). The individual sectional properties are given in Figure 2(c) and (d) where x, and y, indicate centroidal axes. y Р с B A x L/2 -L/2 (a) (6) Section a-a +X (c) UB section (d) PFC Channel
Figure 2 x to 1 Section 610UB125 610UB113 610UB101 530UB92.4 530UB82 Table 1. Sectional properties UB Section A d ý bf mm2 mm mm mm 16000 612 229 19.6 14500 607 228 17.3 13000 602 228 14.8 11800 533 209 15.6 10500 528 209 13.2 2 3 4 5 twy. mm 11.9 11.2 10.6 10.2 9.6 IxD lyo (x108 mm) (x108 mm) 986 39.3 875 34.3 761 29.3 554 23.8 477 20.1 in X у 1 2 Section 380PFC 300PFC 250PFC 27.5 27.2 28.6 PFC Channel А d bf mm2 mm mm 7030 380 100 5110 300 90 4520 250 90 ti mm 17.5 16 15 tyy mm 10 8 Ixe (x108 mm) 152 72.4 45.1 lyo (x108 mm) 6.48 4.04 3.64 Coco 3 8
a) Determine the bending moment equation (in terms of x, P, and L) at a section located at a distance x from the left support = Ely = M = dx²
b) Determine the slope equation in the terms of in term of x, P and L dy ΕΙ dx = - ΕΙΘ = c) Determine the maximum deflection in term of P and L :. El Ymar
d) Determine the moment of inertia Ixx with respect to the centroidal axes. lyx = x106mm Submit pa Unanswe e) Hence, determine the maximum deflection of the beam having a length of 3 m long and applied the load of 20 kN. Use E =200GPa. Ymax = mm (insert "-" sign if the deflection is downward).
f) Hence, determine the slope at A 04 - Ꮎ , rad = (insert "-" sign if the slope is clockwise rotation).