Columns A3 and F3: Columns B3, C3, D3, and E3: P₁ = 1.2 x 115 +1.0 x 90 P = 1.2 x 230 + 1.0 X 173 228 kips = 449 kips Q = ΣΡ Δ 2252 x 1.22 = 0.19 Vyst . 88 X 14 X 12 klu 1.64 x 13 x 12 r 0.3 x 18 = 47.4 1.2x (-2)+1.0 x 100 = 98 ft-kips = 1.2 x 21.0 X 108 = 110 ft-kips Min M201 Mys 1.6(-70) 112 ft-kips M2 = 1.6 X 79 1.6 X 79126 ft-kips = 1.23 1-Q 1 -0.19 8,M₁s = 1.23 x (-112)=-138 ft-kips 8,M25 = 1.23 x 126155 ft-kips and Columns: 10.71 = 0.7 x 16 x 163/12 3823 in 1/ 3823/(14 X 12) = 22.8 in³ = Beams: I = 4838 in and = 1/ 16.8 in³ 22.8 + 22.8 a = √ = = 2.71 16.8 El = 0.2EJ + Esse = 0.2 x 3.6 x 106 x 16 x 163/12 + 29 x 106 x 6 x 0.79 x 6.62 =9.92 x 10% in²-lb TX 9.92 x 10° P == 1.51 x 106 lb (1.77 x 13 x 12)² EI = 0.2 x 3.6 x 10° x 18 x 183/12 + 29 x 10° (4 x 1.27 x 6.42 + 2 x 1.0 x 6.52) 14.8 x 10° in²-lb = P₁ = ² x 14.8 X 10⁹ (1.64 x 13 x 12)² 2.62 x 106 lb = ΣP 2 x 1510 + 4 x 2620 = 13,500 kips 8, = 1.29 1 - ΣΡ /0.75 ΣΡ 12252/(0.75 X 13,500) 6,M1s = 1.29 x (-112)=-144 ft-kips = 8M2 1.29 x 126 1.29 x 126 163 ft-kips = 98-138 = -40 ft-kips M₁ = 98- = M2110+155 - 265 ft-kips 459 0.545 Pa of A 0.65 X 4 X 324 Ma 265 X 12 of Agh 0.65 X 4 X 324 X 18 0.211 Ast = 0.038 X 324 = 12.31 in² P₁ = 1.2 x 230 + 1.6 X 173 553 kips +1.6 = M₁ = 1.2 x 2 + 1.6 X 108 = 175 ft-kips = (18.00 2 x 1.50 2 x 0.38 1.27)/18 = 0.72 - Pu 553 of A 0.65 X 4 X 324 Ma 175 X 12 0.656 of Agh 0.65 X 4 X 324 X 18 0.138 klu 1.0 x 13 x 12 0.3 x 18 28.9 M₁ 1.2x (-2)+1.6 x 100 34-12 = 34 12 = 23.2 M₂ 1.2 x 2 + 1.6 X 108 36.5 + 36.5 == a=0 = 2.17 16.8 16.8 klu r 0.87 x 13 x 12 25.1 0.3 x 18 158 Cm = 0.6 +0.4 = 0.96 175 1.2 x 230 dns 1.2 x 230+ 1.6 X 173 = 0.50 0.4 x 3.60 x 106 x 18 x 183/12 ΕΙ = 8.40 X 10° in²-lb 1 +0.50 Pe ΠΕΙ ² x 8.40 X 10° = = (kl)² 4.50 x 106 lb- (0.87 x 13 x 12)² Ст 1 - Pu/0.75Pc 0.96 1 553/(0.75 x 4500) = 1.15 Pu of Ag 553 0.656 0.65 X 4 X 324 Mu 201 X 12 0.159 of Agh 0.65 X 4 X 324 X 18 At = 0.026 X 324 = 8.42 in² 18" 18" Clear cover 1½" 4 No. 10 (No. 32) corners 4 No. 9 (No. 29) sides No. 3 (No. 10) ties @ 18" k k ,00 50.0 1.0 50.0 10.0 -10.0 5.0- -5.0 888 100.0 50.0- 300- 3.0- -0.9 60 -3.0 20.0- 20- -2.0 +||||||||||_ 89 20.0 10.0 bb 100.0 50.0 5.0 30.0 4.0 -20.0 L 10.0- 3.0 100 -0.8 9883 8 1.0- 1.0 0.9- -0.9 6.0- bbbbb 8.0- 7.0- 0.8- -0.8 0.7- -0.7 5.0- 06- 0.7 -0.6 4.0- 05- -0.5 3.0- 0.4- -0.4 0.3- -0.3 20- -0.6 0.2- +02 1.0 0.1- -0.1 0- -0.5 -0 (a) Nonsway frames 1 20 20 ווווו זיויד 9.0 -8.0 -7.0 -6.0 -5.0 -4.0 -3.0 T -2.0 15 1.0 (b) Sway frames -1.0 18" 18" Clear cover 1" 8 No. 11 (No. 36) bars No. 4 (No. 13) ties @ 18" 6 stories at 14' = 84' 1 2 3 4 5 6 Column C3 7777 7777 7777 7777 7777 7777 A B C D E F 5 bays at 24' = 120'