Question

Problem #1: TO SELECT THE MOST ECONOMICAL Wio SHAPE COLUMN ZO FEET IN HEIGHT SUPPORT AH AXIAL LORD OF 370 KIPS using soksi STEEL! ASSUME A FIXED BASE ANDA PINGED TOP (CASE C) WIDE FLANGE SHAPES HP Axis Y-Y Theoretical Dimensions and Properties for Designing Flange Axis X-X | Weight Area Depth Web Section per of of Thick- Thick- Number Foot Section Section Width S 'T Sy Ty ness ness < * A by tw in. in. in.' in. in. in." in. in. in. Ib in. in. in. 716 623 534 236 207 179 2.88 2.85 2.83 W10 * 112 32.9 11.36 10.415 1.250 0.755 100 29.4 11.10 10.340 1.120 0.680 88 25.9 10.84 10.265 0.990 0.605 77 22.6 10.60 10.190 0.870 0.530 68 20.0 10.40 10.130 0.770 0.470 60 17.6 10.22 10.080 0.680 0.420 54 15.8 10.09 10.030 0.615 0.370 49 14.4 9.98 10.000 0.560 0.340 455 394 341 126 4.66 112 4.60 98.5 4.54 85.9 4.49 75.7 4.44 66.7 4.39 60.0 4.37 54.6 4.35 154 134 116 45.3 2.68 40.0 2.65 34.8 2.63 30.1 2.60 26.4 2.59 23.0 2.57 20.6 2.56 18.7 2.54 2.80 2.79 2.77 303 272 103 93.4 2.75 2.74 W10 x 45 13.3 10.10 8.020 0.620 0.350 39 11.5 9.92 7.985 0.530 0.315 33 9.71 9.737.960 0.435 0.290 248 209 170 49.1 42.1 35.0 4.33 4.27 4.19 53.4 45.0 36.6 13.3 2.01 11.3 1.98 9.20 1.94 2.18 2.16 2.14 16.7 W10 x 30 26 22 8.84 10.47 5.810 0.510 0.300 7.61 10.33 5.770 0.440 0.260 6.49 10.17 5.750 0.360 0.240 170 144 118 32.4 4.38 27.9 4.35 23.2 4.27 14.1 11.4 5.75 1.37 4.89 1.36 3.97 1.33 1.55 1.54 1.51 W10 x 19 17 15 5.62 10.24 4.020 0.395 0.250 4.99 10.11 4.010 0.330 0.240 1 A1 Q09 AnnO 0.270 0.230 96.3 81.9 68.9 18.8 4.14 16.2 4.05 13.8 3.95 4.29 3.56 2.89 2.14 0.874 1.03 1.78 0.845 1.01 1.45 0.810 0.987

Answer 1

Complete solution is given below.

. 17 Assume Kl/= TO k value for one end fixed and other end hinge. Design of k=0.8 16! value Kl = 0.8 * 20 = * Fe = 1² x 29000 TO? πλε (KXX) = 58.41 Ksi 4.7) 4.711 V 29000 50 113.43 > Kit (Fy7 Fe) . For For = 0.658 x Fy For = 0.658 (50/58041) X50 (For 34.94 ksi 27 Design strength den 0.9 x Fon x Ag 370 0.9 x 34.94 x Ag 11.76 in²

37 Tony wi0X45 I min = 2.01 Ag = 13.3 16x12 = 95.52 2.01 * Fe = u²E = 31.37 K² (Fy/Fe) 0.658 x Fy = 25.66 * For = = 307,13 <370 unsafe. in dpn = 0.9% Faux Ag WIOX 49 Next higher section 7 Try Emin = 2.54 in mody in 16X 12 2.54 =75.591 kell Fe 76/ckeya)? 50.09 (Fy/Fe) 6.658 • Fy = 322,93 For & Pn 0.9 x Finx Ag +0.9 x 32.93 x 140.44 426.71 > 370 Safe