Question

The filleted plate shown in figure 1 below supports an axial load "P" and has a thickness "t". The "hole" and "fillets" are far enough apart from each other so the stress concentration of one does not influence the stress concentration of the other. Use this information and the values given abovethe following figure to answer the following questions. (Assume the plate is made of relatively brittle material.) a.) What is the stress concentration factor Kt for the hole? b.) What is the maximum value of the stress at the hole due to stress concentration? c.) Determine the fillet radius "r" if the same maximum stress occurs at the fillet and the hole. Given Values: P = 50 KN,, D 10 mm 100 mm, d 66 mm, dh = 20 mm, t = dn Ans. K 2.45, amax 153 MPa, r = 7.59 mm

Answer 1

concentration factor a) from data stress tables, - K4=2.45 max stress at hole, b) Omax =kto = 2-45 P Hii (Dudn) ti = 2.45 Sox 103 (100-20) 10 omax 153.12 mpa Radius of fillet, c) o = 153.12 kt Dent = 153.12 Ku (Se aco) =153-12

kt = 2002 concentration om . stress o from factor stress Tables, for Kt=.2002; ... df = 66mm D=100mm, D-161 df = 0.115 8 = 0.115x66 8=7 samm.