Question

Question 1 a. The wide-flange beam is subjected to the 50-N force as shown in Figure 1(a). Determine the principal stresses in the beam at point located on the web at the bottom of the upper flange: 0 the principal stress [5 marks) (CLOI:PLOI:C2) (ii) the maximum in-plane shear stress and average normal stress at the point [5 marks) (CLO3PLO3:C4) 250 12 Figure 1(a) b. The strain at point on a beam as shown in Figure 1(b) has components ( 450 x 10* 5-825 x 10.Y-275 x 10*.6-0. By using a Mohr circle Determine the principal strains at A, the maximum shear strain in the plane, and the absolute maximum shear strain. [10 marks] (CLO2.PLOI:C3) BME 3103/SETPOT 2015 Page 2 of 7 Figure 1(b)

Answer 1

50KN 112 mm - X-x < 200 - 200 (274)3 2 x 95 (250) 12 12 95.45 x 106 mm 4. Ixx = A= 56kNX3m 150 kN-m. moment at point - 150x16 N-mm Bending stress at pant M y = 125mm - Ï I 15081864 125 = 19.6.43 MP - 95.458106 Uz=0 196.43 MH. A 196.43 Mby = 0, 196:43 AMR Tot 196.43 2 Emax: - 98:21

(6 6x= 4568156 - 450 4 mm/mm ity= 8254 mm) mm tz= Vocy= 275* 1 mm/my. ti, E = (txtty) I txtty (tx-ty) ²+ ry 1² t = 8.70.0l 4 mmm tz 40.4.98 2-325UMA 870.01 obnoh Vymax - t oe 2 2 smax = 465.034 mm/mm ein Planie "max absolute = max fati-ta, tento , tore) (max) absolut = max (870101-404.98, 870-00-0, 404.98-0 (&max) absolute = 8 70 of immen

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