Question

Problem 2 (20 points) A single-angle tension member (L7"x4"x5/8") has to ension member (L7"x4"x5/8") has two gage lines in its long leg and one in its short leg for 4 diameter bolts arranged per the illustration. The bolts in the song the angle to a gusset plate, the holes in the short led are empty (not connected to anyone GR 50 steel. Determine: a) The gross area of the angle b) The net area of the angle c) The effective area of the angle d) The strength of the angle in tension (Tu), using AISC LRFD. e) The maximum service load T for the angle (assume D = 15% and LTD on. The bolts in the long leg are used to connect (not connected to anything). The angle is A572 in 2 in. 0 0 0 3 in. 12 112 in: 2 1n.| 2 n

Answer 1

a) Gross aree Lexux5/8 1/2*2%24 Jo 0 0 0 el q Ag = 8 (9-1/2) = + (art/2) (+) 2 B 1272 T Age (7-5716) (%) +4-5/16) (54) Рее 6-Чgy in b) Net aree An= Ag-nett + Est . L=g ă-2.216 is Dia of hole do = d+/8 = 3/4+1/8 = 0875 in 124 An= 6.48 by 3x0.875x5 + ( 122 123 + 2 1 1 2 3] x 5/6 An = 5.176 in a Eff her aree me=uan Ua in/ DE I 2.46 - 0069 0.795 2 Ae= 0.795x5.176 Are = 4114 en 2 d) If it is ABO A36 Steel ty=6ku, fu= 58 ksi Tension in yield . Py = Oy ty Ay dy = 0.9 Øu=0.75 Py = 0.98 x 36 x 6.484 Py = 210.0f Kreps Tension in rupture Pu= OufgAe Puc 0-75 x 58 x 67.114 = 178959 kupe -> Tu = 174.959 Kenny D = 0.15 t L=0.855 Designed tenkte Shength least of fee, ly Tu = 1.2D +1.64 TESDAL 178.757 = ( 2 xo151)+(16 xo 85 T) Service loud [T = 116.207 Kips]