Question

(A) Smin 100 mm Problem 1 (20 pts): Stress Concentrations Consider the flat bar with shoulder joints shown in Fig. A which is subjected to a tensile force P = 58 kN. The bar is made of Aluminum 6061 having maximum tensile strength Omax = 290 MPa. NOTE: plots of stress concentration factors for different types of loading can be found on page 6 (a) Determine the radius r [mm] for the fillets. (b) An identical flat bar shown in Fig. B replaces the tensile load with a bending moment M = 744 N-m. Repeat part (a) for this loading. (B) 100 mm

Answer 1

100 mm D 50 mm d 8mm -t Too 4 8mm. 50 now Р (Figure A P = 58 kN o mox Il 290 MPa. Nominal stress P (5088 ) 58ooo (508) Maximimum Stress X х t nomind ktx 58000 (50x 8) گیاها = 290 KtX 58000 (50x8) K = 2 for = 2 ond K+ = 2 D d so

Token from The Volu of 0.15 clo from Plot ond d = 50 mm r = 0.15 x 50 r = 7.5 mm iso Radius of fillet 7.5 mm. PARTIBI loomm 8 mm 50 mm V M M = 744 N-m. 2 = 8 mm D = loo mm = ? d = 50 mm. = 290 MPa.

Nominal Bending N Stress (0) MY I 100) こ 744 X 1000 x 25 I 50 x 8 3 12 Maximum Stress Ki () 744x1000 x 25 x kt ㅗ x 50 x 8 12 = 290 3 1.299 T t ktu 1-3 for D d and k = 1.3 h r = 0.42 d [ from dota Book r = 0.42 x 50 لا r = = 0.42 크 d r=21mm. Fillet Rodius = 2 1 mm.