Using A36 steel select the lightest equal leg single angle member to resist a factored (LRFD) tensile load Pu= 167 kips. The member will be connected through one leg with one line of three 3/4-in bolts spaced at 3 in between centers as shown. The edge distances Leh Lev = 1.5 in. Use LRFD Method Use U from Table D3.1, Case 8) Table D3.1, Case 8: 8 Single and double angles. (If U is calculated per Case 2, the larger value is permitted to be used.) with four or more fasteners per line in the direction of loading with three fasteners per line in the direction of loading (with fewer than three fasteners per line in the direction of loading, use Case 2) U-0.80 - U=0.60 - Table 7-1 Available Shear Strength of Bolts, kips Table 1-7 Angles L12-17 -PNA Properties PNA Nominal Bolt Diameter, d, in. Nominal Bolt Area, in. % 0.307 % % 1 Axis X-X 0.442 0.601 0.785 Wt. Shape Area, A Flexural-Torsional Properties Desig- Thread (ks) (ks) Load-/04/20 4/0 ofe 1/0 г Со nation Cond ing ASD LRFD S N 27.0 40.5 Group 120 D ASD LRFD ASD LRFD ASD LRFD ASD LRFD 11.9 17.9 8.29 124 16.2 24.3 31.8 21.21 166 24.9 23.9 35.8 32.5 48.7 42.4 63.6 L12x12x1% 2% x14 11 in lb/ft in 105 31.1 413 in. in. 48.6 964 28.4 381 44.6 x1% 11% 87.2 25.8 350 40.7 x1 1% 77.8 23.0 315 36.5 3.64 3.50 88.1 3.66 3.45 80.7 3.68 3.41 73.7 3.70 3.36 65.9 S X 34.0 51.0 D S N 32.5 48.8 Group D 9.98 15.0 14.4 21.5 20.0 30.0 28.7 43.1 39.1 104 15.7 15.0 225 204 30.7 26.71 20.9 31.3 30.11 45.1 40.9 61.3 53.4 80.1 19.5 40.0 L10x10x1% 2% x1% 2% 29.3 25.5 58.7 51.0 38.3 76.6 x1% 11% 144 $ x 40.5 60.8 D S N 34.0 51.0 Group D 10.4 15.7 15.0 20.9 31.3 30.11 45.1 40.9 150 S 129 X 42.0 63.0 D 25.8 19.3 27.8 18.6 38.7 37.1 557 124 18.7 17.91 26.9 24.3 36.5 31.81 47.7 24.9 37.3 35.8 53.7 48.7 73.1 63.6 95.5 225 20.4 30.7 26.7 61.3 53.4 80.1 37.9 33.0 49.5 75.7 65.9 98.9 40.0 x1 11% % 11% x%1% LBxBx1% 1% x1 1% 87.1 25.6 231 79.9 234 213 72.3 21.3 196 64.7 19.0 177 56.9 16.8 158 49.1 14.5 139 330 30.2 25.2 50.5 S N 45.0 67.5 Group 200 D 35.3 53.0 70.7 106 S X 56.5 84.8 D 44.4 66.6 88.7 133 x 1% x% 1% x%1% x 1% x 1% LB-6x1 1% x% 1% x%1% x116 Not S 4.14 6.23 5.97 8.97 A307 13.5 20.3 applicable D 8.29 12.5 11.9 17.9 8.11 12.2 10.6 16.2 24.4 21.2 15.9 31.9 x% 10 x1 ASD LRFD -Indicates that this grade is unavailable in the given diameter. For end loaded connections greater than 38 in, see AISC Specification Table 3.2 footnotec 2-2.00 -0.75 Group 120 includes ASTM F3125/F3125M Grades A325 and F1852 bolts Group 144 includes ASTM F3148 bolts. Group 150 includes ASTM F3125/F3125M Grades A490 and F2280 bolts Group 200 includes ASTM F3043 and ASTM F3111. Thread condition "N" indicates that threads are included in the shear plane. Thread condition "X" indicates that threads are excluded from the shear plane. D-double shar S-single sher x% 1% 1% x 14 x1% x 1 21.9 6.40 429 19.6 5.80 38.6 XẠ 172 5.11 342 L7x4% 1% x%1% x 1 26.2 7.74 378 221 6.50 324 17.9 5.26 28.6 Xem 19 157 4.63 236 xa nhà 202 599 393 LB4x1 374 11.1 69.7 14.0 2.45 2.51 3.03 24.3 33.1 9.79 626 12.5 2.53 2.99 21.7 2.41 2.51 28.7 8.49 55.0 10.9 2.55 2.94 18.9 2.34 1.61 24.2 7.16 47.0 9.20 2.56 2.89 16.11 2.27 0.955 8.34 2.57 2.86 146 2.23 0.704 7.48 2.58 2.84 13.1 2.20 0.501 6.59 2.59 2.81 11.6 2.16 0.340 8.39 2.21 2.50 14.8 1.84 1.47 7.12 2.23 2.45 125 1.80 0.868 5.79 2.25 2.40 10.2 1.74 5.11 2.25 2.38 9.03 1.71 3.00 3.00 59.9 3.02 2.95 54.9 27.6 3.03 2.90 50.2 24.8 3.05 2.86 45.0 21.9 3.07 2.80 39.9 192 3.10 2.76 34.6 56.9 16.8 98.1 17.5 2.41 2.40 31.6 51.0 15.1 89.1 15.8 2.43 2.36 28.5 45.0 13.3 79.7 14.0 2.45 2.31 25.3 38.9 11.5 69.9 12.2 2.45 2.26 22.0 32.7 9.69 59.6 10.3 2.48 2.21 18.6 29.6 8.77 54.2 9.33 2.49 2.19 16.8 26.4 784 48.8 8.36 2.49 2.17 15.1 44.2 13.11 80.9 15.1 2.49 2.65 27.3 39.1 11.5 724 134 2.50 2.60 243 33.8 9.99 63.5 11.7 2.52 2.55 21.1 28.5 8.41 542 9.86 2.54 2.50 17.9 1.27 25.7 7.61 494 8.94 255 2.48 16.2 23.0 6.80 44.4 8.01 2.55 2.46 14.6 7.06 2.56 2.43 129 1.30 19.9 211 14.9 1.18 1.08 11.1 0.958 7.80 1.28 16.4 1.17 12.3 1.07 9.21 0.950 6.46 160 120 84.5 118 89.4 67.3 47.6 0.540 4.39 32.5 5.47 0.725 2.80 1.05 7.13 0.944 5.08 0831 3.46 0.719 2.21 0.606 1.30 0.548 0.961 0.490 0.683 20.9 5.53 32.5 234 16.1 10.4 6.16 4.55 4.43 3.23 4.45 ༤༤ ཕོ་མ༤ ༡ གལ༥ཝཱ ཐཱཝཱཨཱཨཱཝཱབྷཧཱུ 6.51 6.54 6.58 6.61 5.39 5.41 4.32 4.39 4.42 1.45 4.34 1.43 2.96 1.34 1.90 1.12 1.24 0.823 1.20 16.3 3.88 11.3 7.28 3.96 3.92 4.33 3.98 3.20 3.99 0.584 2.28 4.01 1.15 0.396 1.55 4.02 3.68 12.9 3.75 8.59 3.78 5.75 3.80 3.42 3.83 2.53 3.84 1.80 3.88 1.22 3.87 3.97 3.31 2.37 3.34 0.456 1.25 3.37 0.310 0851 3.38 13.6 4.00 20.5 4.42 2.27 2.35 7.81 1.67 0.195 0.544 3.40 Note: For workable gags, refer to Table 1-7A. For width-to-thickness onera, refer to Table 1-78 L12-L7 Table 1-7 (continued) Angles Properties ୮ L12-L7 PNA 3 PNA Table 1-7 (continued) Angles Properties L6-L5 Axis Y-Y Axis Z-Z Axis X-X Flexural Tensional Properties Shape . z Tan Shape ' Z Ур J Ge in. in L1212 413 486 364 3.50 881 1.30 165 33.3 2.30 1.00 x1250 448 407 38 3.45 807 1.18 152 31.1 231 1.00 x1 315 36.5 3.70 336 3.41 737 65.9 108 140 29.0 230 100 0958 126 26.5 2.34 1.00 24.2 7.13 24.1 L10x10x1231 330 3.00 3.00 50.8 128 93.3 22.0 1.91 1.00 21.9 645 220 x1213 302 3.02 2:06 54.9 1.17 85.4 205 1.91 1.00 x1 186 5.77 199 x1196 278 303 200 502 1.07 782 19.11 100 100 x 17.2 x1 177 248 158 130 LB-8-16 98.1 175 89.1 15.8 243 3.05 286 45.0 21.9 3.07 280 39.9 192 3.10 276 34.6 2.41 2.40 31.8 236 28.5 0.950 704 174 1.92 1.00 0.840 62.8 15.9 0.725 55.7 14.9 508 176 4.38 154 1.90 1.00 12.4 367 130 in. in in. in. in in n 1861 1374 11.0 35.4 8.55 1.79 1.85 15.4 1% 33.1 975 31.9 7.61 181 1.81 13.7 314 28.7 8.46 28.1 664 182 1.77 11.9 0706 1.61 51% 5.64 1.84 1.72 10.1 0594 0.965 2.50 3.28 1% 5.12 1.85 1.70 9.18 0.538 0.704 185 329 4.59 1.00 1.67 8.22 0.481 0.501 132 3.31 4.06 1.86 1.65 7.25 0.423 0.340 0.899 3.32 3.51 1.87 1.62 6.27 0.365 2.95 189 1.00 5.26 0.300 in. in 0.917 3.68 8.24 3.18 0.813 2.51 641 321 417 324 0.218 0575 0.129 334 0.338 3.35 14.3 1.96 1.00 L41% 212 8.00 277 1.05 407 12.0 1.58 1.00 1% 23.6 694 245 0944 36.8 110 1.56 1.00 %1% 200 56210 79.7 140 2.45 231 25.3 0.831 327 10.0 1.57 1.00 1% 18.1 5.31 192 481 1.90 2.00 7.13 1.86 212 6.23 1.88 207 11.1 529 189 2.03 9.44 131 8.50 128 127 143 1.37 200 1.31 0.775 4.04 282 x% 60.9 122 248 226 22.0 0.719 285 8.91 1.57 1.00 x1 16.2 475 173 4.31 1.91 198 7.71 125 506 103 248 54.2 x 400 221 8.33 248 2.19 168 8.30 2.49 217 15.1 186 0.006 242 773 1.58 100 14.3 4.18 154 0540 21.9 7.06 1.56 1.00 226 6 12.3 3.61 134 0490 190 6.45 1.50 1.00 10.3 3.00 11.4 3.30 1.93 277 1.94 3.81 1.92 1.95 1.93 1.90 LB-4-1 38.3 8.92 1.72 165 102 34.9 794 1.74 150 144 30.8 682 1.75 158 125 264 5.88 1.77 151 105 0.819 21.3 7.81 1.28 0.542 L31 15.3 4.50 16.8 24.1 534 1.78 1.49 9.52 x 21.7 4.79 1.79 146 852 0719 189 08 0526 14.1 0476 128 0425 115 6.70 128 0546 11.7 3.44 129 166 5.85 1.29 0.560 4.91 1.29 0554 4.46 1.30 0.506 198 1.30 0.567 19.3 4.23 1.80 1.44 7.50 0.374 102 3.52 1.31 0.568 %% %% 9.30 15% 27.2 238 14 x14 20.0 16.2 289 109 8.00 178 698 157 5.90 136 479 113 UB4x1 118 394 1.03 104 7.73 x%%% 10.5 351 1.04 0987 6JT 9.37 x 8.11 7.44 238 1.07 0878 3.07 1.05 0949 5.82 282 1.06 0502 4.86 4.30 6.75 6.03 215 108 0854 3.91 1.90 1.09 0.829 0363 432 сем 7.83 3.45 0844 0.247 0252 0812 3.04 0846 0531 6.14 2.65 0850 0257 0448 5.24 2.24 0856 0262 0406 4.38 2:03 0850 182 0.264 x114.3 %% 12.3 x 10.3 L53% 1% 10.8 4.22 100 3.65 8.76 307 4206 1.42 0319 3.04 1.61 0208 17 5.00 301 1.08 1.00 5.60 0.553 5.63 7.79 x% 256 1.10 6.48 2.10 1.11 5.79 1.00 1.12 1.01 1.12 4.69 0558 0.010 377 0.806 1.31 0331 0.001 2.04 0.200 0464 4.81 2.56 0.855 2.17 0324 860 0.329 136 %% 10.4 8.70 0378 104 1.75 0866 0304 x7.00 4.23 1.82 207 3.23 1.93 2.02 2.72 1.94 200 5.16 149 1.56 4.52 1.50 152 385 1.32 1.47 3.15 1.53 142 278 154 1.40 241 1.55 1.37 744 204 1.06 1.35 585 130 4.26 1.55 1.74 4.50 12.0 363 1.56 1.09 400 100 297 158 1.65 3.05 775 228 159 1.00 2.56 6.58 1.92 1.60 1.57 2.07 5.36 1.55 1.61 1.55 6.81 1.22 5.80 1.19 496 1.15 7.49 150 2.64 285 159 0.572 1.18 0407 0843 291 0.276 0.575 2.93 0.177 0369 294 0.104 0217 296 2.88 290 5.74 1.41 4.84 1.38 9.31 0.800 814 0598 6.90 0.500 0.782 5.66 0.479 0.417 0.386 0779 288 0.158 0.341 2.90 0.0000 0.201 252 2.07 3.53 264 1.33 232 267 1.40 0.744 273 270 5.00 0.422 4.33 0.365 3650307 0.108 7.60 1.10 1.00 6.50 106 0.551 0918 239 5.33 100 0.343 0491 242 409 0.933 0.150 0217 245 2.47 3.45 0.904 0.0883 0.128 2.78 0.860 0.0464 00670 248 0.254 0.180 0.327 0508 274 2.76 0.193 1.52 236 277 150 1.55 1.04 1.30 4873 Not: For workable pages, ar to Table 1-7A for width-thickness to Table 1-70 L6-15 Table 1-7 (continued) Angles Properties L LG-LS Note: For workable geser to Table 1-7A for width-to-thickness career to Table 1-70 -PNA Table 1-7 (continued) Angles Properties L5-L3 PNA Axis Y-Y Axis 2-Z Axis X-X Flexural-Torsional Shape 1 S r Z ' S " Tan Shape Area A Properties ' y والا а J C Ta in in in in in in In LG-6x1 354 855 1.79 1.86 x' 199 458 1.88 167 17.6 406 1.86 1.65 x% 15.4 0.917 14.9 31.9 7.61 1.81 1.81 137 0813 13.3 281 864 1.82 1.77 11.6 119 0705 24.1 564 0594 1.34 981 1.72 10.1 22.0 512 1.85 1.70 9.18 0538 422 0481 725 0.423 627 0365 464 5.67 1.17 1.00 5.20 1.17 1.00 1.17 1.00 L5x3x 4.04 1.17 1.00 8.90 3.71 1.18 1.00 806 3.42 in butt inn in In in. 1128 289 1.58 1.74 5.12 1.25 3.75 943 256 1.50 4.53 1.22 11.3 3.31 8B41 1.72 7.35 222 19.80 2.86 1.60 1.00 3.93 1.19 x%% 8.20 2.41 6.24 187 1.61 1.67 3.32 1.14 14 660 1.94 5.09 151 2.68 1.12 In In in. 0.322 0.444 2.38 1.18 1.00 xb x 16-3 204 15-5 17.8 7.06 3.03 1.18 1.00 15.4 3.51 1.87 1.62 6.21 2.71 1.19 1.00 130 295 1.88 1.60 526 0306 5.20 2.30 1.19 1.00 9.70 3.37 1.10 1.12 628 0667 5.82 2.911 0.854 0.421 163 295 1.12 1.07 542 0578 5.08 2.50 0.85 0428 7.48 252 1.13 1.03 456 0488 432 2.12 0859 0435 6.86 229 1.14 1.00 4.13 0443 3.90 1.91 0.861 0.438 622 2.06 1.14 0.981 369 0.396 3.54 1.72 0.864 556 1.83 1.15 0.957 324 3.14 1.51 0.867 0.443 4.06 1.58 1.16 0933 279 0301 273 1.31 0.375 0.446 4.13 1.34 1.17 233 0253 231 1.09 0.908 0.874 0.449 4.24 1.59 0.968 0.829 1.34 0.735 0.343 133 1.22 0.984 0.781 0.763 0349 1.02 1.00 0.991 0796 5.16 1.49 1.56 L41 185 5.44 7.62 279 x1 157 128 0.440 14x3 0348 0241 182 2.83 0.375 2.58 2.18 0287 201 1.70 931 0.800 7.60 3.44 0.971 1.00 L4x1 0859 0.767 0.352 % x14 157 452 1.50 1.52 116 x 11.3 10.0 x 3.85 1.52 147 9.15 1.53 1.42 278 1.54 1.40 276 2411 1.55 1.37 7.44 3.14 6.93 5.68 0.000 655 3.05 0.972 1.00 0.550 5.62 2.70 0.975 1.00 0479 4.64 2.31 0.060 1.00 13 15-4% x x 204 1.56 1.30 5.52 2.20 0.974 0.960 1.90 0.744 0.464 480 1.88 0.987 0947 1.39 0.746 0472 4.02 1.55 1.00 0.901 1.30 0.750 0.479 315 1.19 1.02 0854 212 0306 1.73 0333 0755 0.495 2.69 1.01 1.02 0.829 177 0256 1.47 0.826 0.758 0.489 2.20 0816 1.03 0.804 142 0207 1.19 0.865 0.761 0491 0.505 5.00 0422 404 2.04 0.983 1.00 433 0365 3.55 1.33 0.966 1.00 3.65 0.307 3.00 1.57 0.990 1.00 4.07 3.23 3.43 0453 274 2.79 0.400 226 x%% x 1% 13 " % 1 241 0.0632 0.116 242 0.0438 0.0006 2.43 1.18 1.27 5.02 0680 1.02 1.12 2.10 4.611 6.62 238 1.20 1.22 4.28 0576 0.610 0.000 2.13 3.75 5.52 1.96 1.21 1.18 3.50 0.499 0.322 0.306 2.16 xho 13 11.3 3.30 493 1.73 1.22 1.15 3.10 0413 0.220 0.252 2.18 9.80 2.86 4.32 1.50 1.23 1.13 2.69 0.358 0.141 0.162 2.19 1% 8.20 2.40 3.67 127 1.24 1.11 2.26 0.300 0.0832 0.0063 221 6.60 1.30 3.00 1.03 1.25 1.08 1.82 0.241 0.0438 0.0005 119 3.50 5.30 192 1.23 1.24 3.45 0500 0.301 9.10 2.68 4.15 1.48 1% 7.70 2.25 3.53 1.25 6.20 1.82 289 1.01 228 136 3.99 6.01 3.25 5.02 1.87 8.50 2.49 3.94 1.44 7.20 2.00 3.38 122 5.80 188 2.75 0968 1.27 1.22 1.77 0620 00385 00356 199 L3x3x% 11.1 3.25 3.63 1.48 1.05 0.281 0.238 187 105 2.66 0.454 9.80 2.80 3.25 1.32 1.06 1.03 2.36 0.413 0.192 0.164 100 8.50 2.50 2.86 1.15 1.07 1.00 2.06 0.357 0.123 0.106 1.90 7.20 2.10 2.44 0.969 1.08 0.979 1.74 0.300 0.0731 0.0034 192 5.80 1.70 2.00 0.787 1.09 0.954 1.41 0.243 0.0385 0.0334 1.93 10.2 3.02 3.45 1.45 1.07 1.12 2.61 0.430 0.260 0.191 1.75 x 9.10 2.67 3.10 1.29 1.08 1.09 2.32 0.449 0.178 0.132 176 790 2.32 2.73 1.12 1.09 1.07 2.03 0.407 0.114 0.0858 178 660 195 233 0961 1.09 1.05 1.72 0.380 0.0680 0.0612 179 0.220 0.141 0.196 0.304 2.39 1.62 164 222 0.302 203 1.25 1.20 266 0427 0.132 1.25 1.17 2.24 0.400 0.0782 0.0700 2.08 1.26 1.14 1.81 0.350 0.0412 0.0419 2.09 0.134 206 1.23 1.24 1.26 1.27 197 0.114 2.60 0.630 0.123 1.27 1.25 2.19 0856 0.0731 0.0676 198 1.37 4.05 0806 0.529 0.472 1.91 1.32 3.36 0.750 0.281 0.255 1.94 % L3% 2 % % Note: For workable pages, refer to Table 1-7A. For width-to-thickness criteria ter to Table 1-78 5.40 1.58 1.82 0.773 1.10 1.02 1.39 0.340 0.0000 0.0270 1.00 9.40 2.77 3.24 141 1.08 1.20 2.52 0.730 0.234 0.159 1.86 720 2.12 258 1.09 1.10 1.15 1.96 0.673 0.103 0.0714 109 610 1.79 2.20 0925 1.11 1.13 1.67 0636 0.0611 0.0426 171 x4% 4.90 1.45 1.81 0.753 1.12 1.10 1.36 0.600 0.0322 0.0225 172 Nate: For workable goes, refer to Table 1-A, For with thickness ortaria, refer to Table 1-78