a) For the uniformly distributed beam as shown in Figure 3, A w L B I...

Transcribed Image Text:

a) For the uniformly distributed beam as shown in Figure 3, A w L B I Table 1 A d br tf tn Ixa Section Name (mm) (mm) (mm) (mm) (mm) (x10 mm) Ivo (x10 mm) 1 180UB22.2 2820 179 90 10 6 15.3 1.22 2 180UB18.1 2300 175 90 8 5 12.1 0.975 3 180UB16.1 2040 173 90 7 4.5 10.6 0.853 4 150UB18 2300 155 75 9.5 6 9.05 0.672 5 150UB14 1780 150 75 7 5 6.66 0.495 Determine the bending moment equation (in terms of x, w, and L) at a section located at a distance x from the left support Eldy = M = dx b) Determine the slope equation in the terms of in term of x, P and L Eldy dx = EIO = c) Determine the equation of the elastic curve in the terms of w, L, E and I Ely= Submit part Unanswered Submit part Unanswered d) Hence, determine the maximum deflection, assuming that beam AB is a universal beam (UB) Section 5 (See Table 1) and w =2 kN/m, L =2 m and E=200GPa. Ymax mm (insert "-" sign if the deflection is downward) a) For the uniformly distributed beam as shown in Figure 3, A w L B I Table 1 A d br tf tn Ixa Section Name (mm) (mm) (mm) (mm) (mm) (x10 mm) Ivo (x10 mm) 1 180UB22.2 2820 179 90 10 6 15.3 1.22 2 180UB18.1 2300 175 90 8 5 12.1 0.975 3 180UB16.1 2040 173 90 7 4.5 10.6 0.853 4 150UB18 2300 155 75 9.5 6 9.05 0.672 5 150UB14 1780 150 75 7 5 6.66 0.495 Determine the bending moment equation (in terms of x, w, and L) at a section located at a distance x from the left support Eldy = M = dx b) Determine the slope equation in the terms of in term of x, P and L Eldy dx = EIO = c) Determine the equation of the elastic curve in the terms of w, L, E and I Ely= Submit part Unanswered Submit part Unanswered d) Hence, determine the maximum deflection, assuming that beam AB is a universal beam (UB) Section 5 (See Table 1) and w =2 kN/m, L =2 m and E=200GPa. Ymax mm (insert "-" sign if the deflection is downward)