a The beam AB is a composite section and is formed by welding a PFC Channel2 and a universal beam (UB) Section2 (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. P B 1 T -1/2-1/2 (a) (b) Section - (c) UB section d) PFC Channel Figure 2
X ho 10mm 1 2 3 4 5 39.3 Section 610UB125 610UB113 6100B101 530UB92.4 530UB92 Table 1. Sectional properties UB Section А d br mm mm mm mm mm 16000 612 229 19.6 11.9 14500 607 228 17.3 11.2 13000 602 228 14.8 | 10.6 11800 533 209 15.6 10.2 10500 528 209 13.2 9.6 100 mm 986 875 761 554 477 34.3 29.3 23.8 20.1 וחוז Section 380PFC 30OPEC 25OPFC 1 2 3 12745 PFC Channel A d bi mm mm mm 7030 380 100 5110 300 90 4520 250 90 mm 175 10 16 8 15 8 272 28.5 ly 1100 mm 6.48 4.04 3.64 108 mm 152 72.4 45.2 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 = M= dx²
b) Determine the slope equation in the terms of in term of x, P and L EID = dx c) Determine the maximum deflection in term of P and L :. EI Ymar = =
d) Determine the moment of inertia lxx with respect to the centroidal axes. x106mm e) Hence, determine the maximum deflection of the beam having a length of 5 m long and applied the load of 25 kN. Use E =2000Pa. mm (insert"."sign if the deflection is downward). a Ymax f) Hence, determine the slope at A 0.- rad (insert"-" sign if the slope is clockwise rotation)
a The beam AB is a composite section and is formed by welding a PFC Channel2 and a universal beam (UB) Section2 (See Tab
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a The beam AB is a composite section and is formed by welding a PFC Channel2 and a universal beam (UB) Section2 (See Tab
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