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hw 2 - _4_’_——-— 3.6-1(a Pu = 1.2D 1.6L =1.2(28...

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Unformatted text preview: ___4___________’___——-— 3.6-1 (a) Pu = 1.2D+ 1.6L =1.2(28)+1.6(84)= 168 kips RequiredAg = 0—1;??? = 6—%?§—6)_ = 5.19in.z ' __ Pu = 168 = ' 2 RequiredAe— ———0-75Fu ———0.75(58) 3.86m. [3—19] Required rm... = 3% = % = 0.72 in. Try L5 x 3% x3/4 AS = 5.81 in.2 > 5.19 in.2 (0K) rmin = r2 = 0.744 in. > 0.72 in. (OK) A,l = 5.81—0.75(1.125)= 4. 966 in.2 A9 = AnU = 4.966(0. 80) = 3. 97 in.2 > 3.86 in.2 (OK) (b) Pa =D+L=28+84 =112kips - _ fi_ Pa = 112 _ - 2 RequlredAg— F: — 0.6113 0.6(36) —5.191n. . _ i _ L _ - 2 Requ1redA, — 05F" — 0.5(58) —3.86m. L 1812) Required rmin = —— = = 0.72 in. 3 0 300 Try L5 x 3% ><% A5 = 5.81m.2 > 5.19 in.2 (OK) rm... = r; = 0.744 in. > 0.72 in. (OK) A" = 5.81 —o.75(1. 125) = 4. 966 in.2 F 45 ALUi-96§(O. 80) = 3. 97 in.2 > 3.86 in.2 (OK) UseanL5x3‘/zx% K , 3.6-3 (a) Pu = 1.2D+ 1.6L = 1\.2(30)+ 1.6(90) = 180.0 kips - _ PM = 180 = ' 2 Requ1redAg— 0.9Fy 7 “0.90“!” 4.00m. - _ Pu _ 180 _ - 2 RequiredA,— 0.751," — 0.75(65) —3.69m. L = 25 x12 _ A TOO 300 1.0m. The angle leg must be at least 5 in. long to accommodate two lines of bolts (See usual gages for angles, Fig. 3.24. Also see the last table in the single-angle section of the Dimensions and Properties tables in the Manual.) Try 2L5 x 5 x 5/15 Ag = 6.13 in.2 > 4.00 in.2 (OK) rm = r, = 1.56 in. > 1.0 in. (OK) n = 6.13 —4(7/8 +1/8)(5/16) = 4. 880 in.2 From AISC Table D4.l, for 4 or more bolts per line, U = 0.80 A, = AnU= 4.880(0.80) = 3. 90 in.2 > 3.69 in.2 (OK) Required rmin = Use 2L5 x 5 x 5/15 (b) Pa =D+L= 30+90 =120kips Required/lg = 02;} = fl = 4.00 in.2 Pa 120 = ' 2 0.51?“ 0. 5(65) 3' 69 m' 0 ll ll Required A; Required rm = L 25 x 12 = 1.0 in. O 300 The angle leg must be at least 5 in. long to accommodate two lines of bolts (See usual gages for angles, Fig. 3.24. Also see the last table in the single-angle section of the Dimensions and Properties tables in the Manual.) Try2L5 X 5 X 5/15 [3—22] Ag =6.13 111.2 > 4.00 in.2 (OK) rm“ = r, = 1.56 in. > 1.0 in. (OK) A" = 6.13 —4(7/8 +1/8)(5/16) = 4. 880 111.2 \_/’ From AISC Table D4.1, for 4 or more bolts per line, U = 0.80 A; = AHU = 4. 880(0.80) = 3. 90 in.2 > 3.69 in.1 (OK) é Use 2L5 x 5 x 5/16 E ____— . _____.__________———-——— 5’ _ flgszii //77 ,7 7, "ll/firii/ 3.7-5 (a) LRFD: P. = 1,213+ 1.6L =1.6(35)=756kips T C 6=tan“(9[15)= 30.96“ —> 55 k [<——15';—-{“' ZMC = 56(15) —- [Tsin(30.96°)](15) = 0, T: 108.9 kips ' _ —T._ = 4%?— = - 2 Requ‘md’i” ‘ 0.75(0.75F,,) 0.75(0.75)(58) 3' 338 "1' Let 11—31 = 3.338, d= 2. 062 in. Reguired d = 2.06 in. Use 2 1A; in. (b) ASD: P. = D +L = 35 kips c T 9=tan"(9/15)= 3096" —> 35 k 02.... ZMC = 35(15) — [Tsin(30.96°)](15) = 0, T= 68.04 kips F. = 0.375Fu = 0.375(58) = 21. 75 ksi RequiredAb = Fl = ’%?—_9% = 3. 128 in.2 [ I Let % = 3.128, d: 2.00 in. d=2 in. ...
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