A 17 m long beam is uniformly distributed loaded (w= 30 kN/m)as shown in Figure 1 (a). The beam is made of two steel plates 228 x 30 mm and a universal beam section Section3 (See Table 1) that are bolted together to form a composite section as shown in Figure (b). The 16 mm diameter bolts are spaced longitudinally every 150 mm. The sectional properties are given in Figure (b) and Table 1. The modulus of elasticity for steel is 200 GPa. a w kN/m Lm Figure (a) Simply supported beam
Steel plate y. UB Section -b y. (c) UB Section P Steel plate (b) Section a-a (dimensions not to scale) Figure (b) Section a-a & (c) UB section X 1 Table 1. Sectional properties UB Section А d bf у mm2 mm mm mm 16000 612 19.6 14500 607 228 17.3 13000 602 228 14.8 11800 533 209 15.6 10500 528 209 13.2 229 Section 610UB125 610UB113 610UB101 530UB92.4 530UB82 ty mm 11.9 11.2. 10.6 10.2 9.6 Ixe (x108 mm) 986 875 761 554 2 lyo (x108 mm) 39.3 34.3 29.3 23.8 3 4 5 477 20.1
a) Determine the bending moment equation (in terms of x, w, and L) at a section located at a distance x from the left support Eld's = ΕΙ = M = dx²
b) b Determine the slope equation in the terms of x, w, and L dy ΕΙ dx = - ΕΙΘ = c) Determine the maximum deflection at midspan in the terms of w and L :. El ymar
) d) Determine the moment of inertial with respect to the centroidal axes. Ixx = x106 mm ) e) Determine the maximum deflection of the beam. Ymax mm (insert "-" sign if the deflection is downward.)
A 17 m long beam is uniformly distributed loaded (w= 30 kN/m)as shown in Figure 1 (a). The beam is made of two steel pla
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A 17 m long beam is uniformly distributed loaded (w= 30 kN/m)as shown in Figure 1 (a). The beam is made of two steel pla
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