CRSI Chapter 3 Column Tables

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DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLES Click On The Column Criteria You Need SQUARE TIED COLUMNS RECTANGULAR TIED COLUMNS f' c = 5,000 psi, f y = 60,000 psi f' c = 5,000 psi, f y = 60,000 psi f' c = 6,000 psi, f y = 60,000 psi f' c = 6,000 psi, f y = 60,000 psi f' c = 8,000 psi, f y = 60,000 psi f' c = 8,000 psi, f y = 60,000 psi f' c = 6,000 psi, f y = 75,000 psi f' c = 6,000 psi, f y = 75,000 psi f' c = 8,000 psi, f y = 75,000 psi f' c = 8,000 psi, f y = 75,000 psi f' c = 10,000 psi, f y = 75,000 psi f' c = 10,000 psi, f y = 75,000 psi CONCRETE REINFORCING STEEL INSTITUTE

Transcript of CRSI Chapter 3 Column Tables

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESClick On The Column Criteria You Need SQUARE TIED COLUMNS RECTANGULAR TIED COLUMNS

f' = 5,000 psi, fy = 60,000 psi c f' = 6,000 psi, fy = 60,000 psi c f' = 8,000 psi, fy = 60,000 psi c

f' = 5,000 psi, fy = 60,000 psi c f' = 6,000 psi, fy = 60,000 psi c f' = 8,000 psi, fy = 60,000 psi c

f' = 6,000 psi, fy = 75,000 psi c f' = 8,000 psi, fy = 75,000 psi c f' = 10,000 psi, fy = 75,000 psi c

f' = 6,000 psi, fy = 75,000 psi c f' = 8,000 psi, fy = 75,000 psi c f' = 10,000 psi, fy = 75,000 psi c

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESSQUARE TIED COLUMNS

f' = 5,000 psi, fy = 60,000 psi cClick On The Column Size Below 10" x 10" 20" x 20" 30" x 30" 40" x 40" 12" x 12" 22" x 22" 32" x 32" 42" x 42" 14" x 14" 24" x 24" 34" x 34" 44" x 44" 16" x 16" 26" x 26" 36" x 36" 46" x 46" 18" x 18" 28" x 28" 38" x 38" 48" x 48"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESSQUARE TIED COLUMNS

f' = 6,000 psi, fy = 60,000 psi cClick On The Column Size Below 10" x 10" 20" x 20" 30" x 30" 40" x 40" 12" x 12" 22" x 22" 32" x 32" 42" x 42" 14" x 14" 24" x 24" 34" x 34" 44" x 44" 16" x 16" 26" x 26" 36" x 36" 46" x 46" 18" x 18" 28" x 28" 38" x 38" 48" x 48"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESSQUARE TIED COLUMNS

f' = 8,000 psi, fy = 60,000 psi cClick On The Column Size Below 10" x 10" 20" x 20" 30" x 30" 40" x 40" 12" x 12" 22" x 22" 32" x 32" 42" x 42" 14" x 14" 24" x 24" 34" x 34" 44" x 44" 16" x 16" 26" x 26" 36" x 36" 46" x 46" 18" x 18" 28" x 28" 38" x 38" 48" x 48"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESSQUARE TIED COLUMNS

f' = 6,000 psi, fy = 75,000 psi cClick On The Column Size Below 24" x 24" 34" x 34" 26" x 26" 36" x 36" 44" x 44" 28" x 28" 38" x 38" 46" x 46" 30" x 30" 40" x 40" 48" x 48" 32" x 32" 42" x 42"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESSQUARE TIED COLUMNS

f' = 8,000 psi, fy = 75,000 psi cClick On The Column Size Below 24" x 24" 34" x 34" 26" x 26" 36" x 36" 44" x 44" 28" x 28" 38" x 38" 46" x 46" 30" x 30" 40" x 40" 48" x 48" 32" x 32" 42" x 42"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESSQUARE TIED COLUMNS

f' = 10,000 psi, fy = 75,000 psi cClick On The Column Size Below 24" x 24" 34" x 34" 26" x 26" 36" x 36" 44" x 44" 28" x 28" 38" x 38" 46" x 46" 30" x 30" 40" x 40" 48" x 48" 32" x 32" 42" x 42"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESRECTANGULAR TIED COLUMNS

f' = 5,000 psi, fy = 60,000 psi cClick On The Column Size Below10" 10" 10" 10" 10" 10" x x x x x x 10" 12" 14" 16" 18" 20" 12" 12" 12" 12" 12" 12" 12" x x x x x x x 12" 14" 16" 18" 20" 22" 24" 14" 14" 14" 14" 14" 14" 14" 14" x x x x x x x x 14" 16" 18" 20" 22" 24" 26" 28" 16" 16" 16" 16" 16" 16" 16" 16" 16" x x x x x x x x x 16" 18" 20" 22" 24" 26" 28" 30" 32" 18" 18" 18" 18" 18" 18" 18" 18" 18" 18" x x x x x x x x x x 18" 20" 22" 24" 26" 28" 30" 32" 34" 36" 20" 20" 20" 20" 20" 20" 20" 20" 20" 20" 20" x x x x x x x x x x x 20" 22" 24" 26" 28" 30" 32" 34" 36" 38" 40" 22" 22" 22" 22" 22" 22" 22" 22" 22" 22" 22" 22" x x x x x x x x x x x x 22" 24" 26" 28" 30" 32" 34" 36" 38" 40" 42" 44" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" x x x x x x x x x x x x x 24" 26" 28" 30" 32" 34" 36" 38" 40" 42" 44" 46" 48"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESRECTANGULAR TIED COLUMNS

f' = 6,000 psi, fy = 60,000 psi cClick On The Column Size Below10" 10" 10" 10" 10" 10" x x x x x x 10" 12" 14" 16" 18" 20" 12" 12" 12" 12" 12" 12" 12" x x x x x x x 12" 14" 16" 18" 20" 22" 24" 14" 14" 14" 14" 14" 14" 14" 14" x x x x x x x x 14" 16" 18" 20" 22" 24" 26" 28" 16" 16" 16" 16" 16" 16" 16" 16" 16" x x x x x x x x x 16" 18" 20" 22" 24" 26" 28" 30" 32" 18" 18" 18" 18" 18" 18" 18" 18" 18" 18" x x x x x x x x x x 18" 20" 22" 24" 26" 28" 30" 32" 34" 36" 20" 20" 20" 20" 20" 20" 20" 20" 20" 20" 20" x x x x x x x x x x x 20" 22" 24" 26" 28" 30" 32" 34" 36" 38" 40" 22" 22" 22" 22" 22" 22" 22" 22" 22" 22" 22" 22" x x x x x x x x x x x x 22" 24" 26" 28" 30" 32" 34" 36" 38" 40" 42" 44" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" x x x x x x x x x x x x x 24" 26" 28" 30" 32" 34" 36" 38" 40" 42" 44" 46" 48"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESRECTANGULAR TIED COLUMNS

f' = 8,000 psi, fy = 60,000 psi cClick On The Column Size Below10" 10" 10" 10" 10" 10" x x x x x x 10" 12" 14" 16" 18" 20" 12" 12" 12" 12" 12" 12" 12" x x x x x x x 12" 14" 16" 18" 20" 22" 24" 14" 14" 14" 14" 14" 14" 14" 14" x x x x x x x x 14" 16" 18" 20" 22" 24" 26" 28" 16" 16" 16" 16" 16" 16" 16" 16" 16" x x x x x x x x x 16" 18" 20" 22" 24" 26" 28" 30" 32" 18" 18" 18" 18" 18" 18" 18" 18" 18" 18" x x x x x x x x x x 18" 20" 22" 24" 26" 28" 30" 32" 34" 36" 20" 20" 20" 20" 20" 20" 20" 20" 20" 20" 20" x x x x x x x x x x x 20" 22" 24" 26" 28" 30" 32" 34" 36" 38" 40" 22" 22" 22" 22" 22" 22" 22" 22" 22" 22" 22" 22" x x x x x x x x x x x x 22" 24" 26" 28" 30" 32" 34" 36" 38" 40" 42" 44" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" 24" x x x x x x x x x x x x x 24" 26" 28" 30" 32" 34" 36" 38" 40" 42" 44" 46" 48"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESRECTANGULAR TIED COLUMNS

f' = 6,000 psi, fy = 75,000 psi cClick On The Column Size Below24" x 24" 24" x 28" 24" x 32" 24" x 36" 24" x 40" 24" x 44" 24" x 48" 28" x 28" 28" x 32" 28" x 36" 28" x 40" 28" x 44" 28" x 48" 32" x 32" 32" x 36" 32" x 40" 32" x 44" 32" x 48" 36" x 36" 36" x 40" 36" x 44" 36" x 48" 40" x 40" 40" x 44" 40" x 48" 44" x 44" 44" x 48" 48" x 48"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESRECTANGULAR TIED COLUMNS

f' = 8,000 psi, fy = 75,000 psi cClick On The Column Size Below24" x 24" 24" x 28" 24" x 32" 24" x 36" 24" x 40" 24" x 44" 24" x 48" 28" x 28" 28" x 32" 28" x 36" 28" x 40" 28" x 44" 28" x 48" 32" x 32" 32" x 36" 32" x 40" 32" x 44" 32" x 48" 36" x 36" 36" x 40" 36" x 44" 36" x 48" 40" x 40" 40" x 44" 40" x 48" 44" x 44" 44" x 48" 48" x 48"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

DESIGN HANDBOOK - CHAPTER 3 COLUMN TABLESRECTANGULAR TIED COLUMNS

f' = 10,000 psi, fy = 75,000 psi cClick On The Column Size Below24" x 24" 24" x 28" 24" x 32" 24" x 36" 24" x 40" 24" x 44" 24" x 48" 28" x 28" 28" x 32" 28" x 36" 28" x 40" 28" x 44" 28" x 48" 32" x 32" 32" x 36" 32" x 40" 32" x 44" 32" x 48" 36" x 36" 36" x 40" 36" x 44" 36" x 48" 40" x 40" 40" x 44" 40" x 48" 44" x 44" 44" x 48" 48" x 48"

Return To Column Criteria

CONCRETE REINFORCING STEEL INSTITUTE

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 102 + 102 fc = 5,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M265 348 445 553 666 803 912 467 609 741 886

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 162 + 162 fc = 5,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M1117 1373 1693 2005 2752 4490 1243 1637 2089 2569 3165 3613 4680 4247 4916

BARS4-# 5 4-# 6 4-# 7 4-# 8 4-# 9 4-#10 4-#11 8-# 5 8-# 6 8-# 7 8-# 8

BARS4-# 8 4-# 9 4-#10 4-#11 4-#14 4-#18 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 8-#11 8-#14 12-#10 12-#11

1M1.24 1.76 2.40 3.16 4.00 5.08 6.24 2.48 3.52 4.80 6.32 263 272 282 294 306 320 329 270 283 297 314

1P277 293 313 337 363 397 433 315 348 388 435

1M417 445 478 515 552 595 615 451 492 541 596

1P210 219 230 243 257 274 284 234 252 275 302

1M455 486 522 563 604 653 672 497 544 598 659

1P176 181 187 195 202 212 213 192 203 217 232

1M468 503 544 590 637 693 713 516 570 632 701

1P147 149 151 153 155 157 150 157 162 167 173

1M471 515 567 625 684 754 779 533 600 678 765

1P102 97 90 82 72 58 33 95 86 74 59

1M358 415 482 559 639 738 769 467 551 647 755

1P50 50 50 50 50 50 50 50 50 50 50

1M1.23 1.56 1.98 2.44 3.52 6.25 1.38 1.88 2.47 3.13 3.97 4.88 7.03 5.95 7.31 1126 1161 1204 1236 1327 1532 1094 1133 1179 1230 1290 1337 1477 1447 1520

1P708 734 768 804 890 1109 719 759 807 859 926 999 1171 1085 1194

1M1670 1764 1882 2003 2277 2918 1605 1716 1843 1981 2154 2325 2729 2503 2736

1P580 594 613 628 676 802 595 618 646 677 718 755 858 823 883

1M1923 2037 2179 2314 2649 3439 1854 1987 2143 2312 2525 2723 3223 2946 3220

1P488 498 511 521 556 646 499 515 535 558 586 612 685 670 712

1M2056 2191 2360 2515 2914 3820 1978 2137 2323 2524 2779 3010 3611 3287 3610

1P414 420 428 433 454 501 422 432 444 457 474 497 544 529 552

1M2186 2365 2588 2759 3249 4356 2085 2298 2546 2816 3151 3411 4150 3830 4198

1P302 300 296 284 268 217 307 304 301 297 291 273 246 279 253

1M1580 1763 1994 2207 2753 4041 1646 1887 2161 2450 2807 3114 3919 3612 4024

1P128 128 128 128 128 128 128 128 128 128 128 128 128 128 128

2 2 SQUARE TIED COLUMNS 122 + 1224-# 6 4-# 7 4-# 8 4-# 9 4-#10 4-#11 4-#14 8-# 5 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 1.22 1.67 2.19 2.78 3.53 4.33 6.25 1.72 2.44 3.33 4.39 5.56 7.06 463 478 496 515 537 552 601 461 479 501 527 554 589 398 418 441 468 501 538 624 420 453 493 540 592 660 714 761 815 872 943 1007 1165 720 778 847 926 1011 1116 313 324 337 351 370 387 437 329 348 371 399 430 469 798 855 921 990 1078 1130 1297 810 880 965 1062 1167 1297 263 270 280 290 304 310 336 274 287 304 323 345 372 840 904 978 1054 1148 1205 1396 855 939 1036 1146 1261 1402 223 227 231 235 240 238 246 232 240 249 260 270 283 860 940 1032 1129 1247 1316 1557 883 986 1107 1246 1391 1569 158 153 148 141 132 113 82 158 152 145 135 123 107 635 728 836 950 1093 1213 1532 723 845 987 1146 1313 1518 72 72 72 72 72 72 72 72 72 72 72 72 72 457 590 742 903 1101 1278 1714 617 829 1075 1307 1532 1804

2 2 SQUARE TIED COLUMNS 182 + 1824-# 9 4-#10 4-#11 4-#14 4-#18 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 8-#11 8-#14 12-#10 12-#11 16-#10 1.23 1.57 1.93 2.78 4.94 1.09 1.48 1.95 2.47 3.14 3.85 5.56 4.70 5.78 6.27 1617 1671 1715 1832 2093 1535 1583 1639 1699 1774 1840 2013 1970 2064 2151 896 930 966 1052 1271 881 921 968 1021 1088 1161 1333 1247 1356 1406 2362 2504 2655 2988 3777 2169 2301 2454 2618 2826 3038 3529 3241 3531 3679 745 763 777 825 949 747 770 798 829 870 907 1010 976 1037 1083 2749 2919 3086 3492 4460 2528 2687 2872 3073 3327 3573 4178 3829 4168 4366 626 638 648 682 772 628 645 665 687 716 742 816 802 845 880 2955 3157 3347 3831 4988 2700 2888 3109 3348 3652 3937 4662 4256 4654 4900 532 539 543 564 618 535 545 557 571 588 602 646 645 670 694 3161 3430 3677 4311 5743 2827 3078 3372 3692 4098 4473 5427 4907 5434 5764 389 385 379 369 331 397 395 392 388 384 375 360 376 362 375 2285 2560 2820 3478 5054 2145 2463 2798 3153 3592 3981 4981 4603 5132 5574 162 162 162 162 162 162 162 162 162 162 162 162 162 162 162 1607 1988 2366 3269 5397 1449 1916 2454 3030 3749 4440 5864 5139 5984 6518

2 2 SQUARE TIED COLUMNS 142 + 1424-# 7 4-# 8 4-# 9 4-#10 4-#11 4-#14 8-# 5 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 8-#11 1.22 1.61 2.04 2.59 3.18 4.59 1.27 1.80 2.45 3.22 4.08 5.18 6.37 745 771 797 828 851 919 720 746 778 812 850 897 931 541 565 591 625 661 747 544 576 616 664 716 784 856 1125 1195 1271 1365 1457 1673 1070 1145 1235 1338 1449 1588 1719 436 449 463 482 498 547 443 462 485 513 544 584 622 1279 1364 1456 1571 1674 1938 1219 1309 1418 1545 1682 1853 2005 366 375 386 399 410 445 372 385 402 422 444 472 497 1358 1459 1568 1704 1814 2102 1289 1397 1527 1678 1841 2047 2211 311 317 322 330 334 348 315 326 336 349 363 381 393 1423 1550 1685 1853 1972 2336 1341 1480 1647 1839 2042 2295 2477 225 221 216 210 196 173 230 226 222 215 208 197 173 1034 1172 1321 1508 1675 2108 1044 1208 1398 1613 1839 2118 2347 98 98 98 98 98 98 98 98 98 98 98 98 98 735 930 1139 1398 1642 2234 765 1037 1357 1721 2092 2466 2774

2 2 SQUARE TIED COLUMNS 202 + 2024-# 9 4-#10 4-#11 4-#14 4-#18 8-# 7 8-# 8 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 16-#10 16-#11 1.00 1.27 1.56 2.25 4.00 1.20 1.58 2.00 2.54 3.12 4.50 8.00 3.81 4.68 6.75 5.08 6.24 2178 2243 2298 2444 2768 2137 2204 2276 2366 2442 2659 3158 2588 2716 3039 2800 2966 1077 1111 1147 1233 1452 1102 1149 1202 1269 1342 1514 1951 1428 1536 1795 1586 1731 3077 3243 3425 3819 4756 3003 3180 3373 3615 3870 4447 5829 4096 4444 5257 4605 5050 914 932 945 992 1115 940 968 999 1040 1077 1181 1446 1148 1208 1370 1256 1340 3607 3806 4006 4483 5629 3533 3748 3981 4277 4569 5280 6991 4858 5263 6258 5482 6005 770 783 791 825 913 791 811 833 862 888 962 1152 949 993 1113 1029 1090 3877 4112 4339 4906 6275 3797 4053 4331 4683 5022 5872 7925 5383 5857 7051 6130 6747 658 665 668 688 741 672 685 698 716 729 775 889 775 800 874 826 861 4116 4429 4722 5478 7299 4018 4358 4728 5199 5644 6782 9521 6137 6763 8362 7132 7948 489 485 478 470 450 496 493 490 487 478 467 437 481 468 451 482 468 2899 3218 3524 4295 6158 3106 3533 3956 4480 4955 6158 8958 5673 6363 8032 6791 7705 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 1840 2282 2727 3784 6303 2193 2818 3489 4331 5156 7130 10832 6068 7083 9579 7783 9002

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-1

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 222 + 222 fc = 5,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M2575 3087 4298 7208

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 262 + 262 fc = 5,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M5325 9015 4857 6065 7289 10200 17166 8861 10614 14362 23230 11317 13415 18476 13850 16306

BARS4-#10 4-#11 4-#14 4-#18 8-# 8 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 16-#10 16-#11 20-#10

BARS4-#14 4-#18 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 20-#10 20-#11

1M1.05 1.29 1.86 3.31 1.31 1.65 2.10 2.58 3.72 6.61 3.15 3.87 5.58 4.20 5.16 5.25 2931 2998 3172 3566 2885 2969 3075 3166 3412 4011 3333 3470 3866 3574 3758 3799

1P1311 1347 1433 1651 1349 1402 1469 1542 1714 2151 1628 1736 1995 1786 1931 1945

1M4111 4326 4780 5868 4035 4255 4532 4831 5496 7097 5080 5486 6423 5660 6180 6208

1P1120 1132 1178 1300 1158 1189 1229 1265 1370 1636 1338 1399 1561 1448 1532 1564

1M4855 5088 5637 6963 4785 5051 5389 5729 6545 8522 6050 6521 7665 6760 7369 7489

1P943 951 984 1071 972 995 1024 1049 1124 1316 1112 1156 1278 1193 1255 1274

1M5243 5506 6157 7738 5172 5488 5890 6282 7258 9628 6687 7236 8607 7537 8253 8396

1P805 807 827 879

1M5604 5943 6811 8922

1P596 589 580 561 606 603 600 591 582 556 596 584 570 599 586 602

1M3978 4330 5214 7363 4340 4866 5478 6044 7456 10757 6797 7667 9691 8115 9191 9420

1P242 242 242 242

1M1.33 2.37 1.18 1.50 1.85 2.66 4.73 2.25 2.77 3.99 7.10 3.01 3.69 5.33 3.76 4.62 5023 5561 4748 4887 5011 5335 6104 5220 5405 5892 7121 5524 5766 6393 5811 6108

1P1890 2108

1M7140 8533

1P1608 1727 1624 1664 1699 1803 2070 1775 1834 1998 2413 1886 1970 2192 2001 2111

1M8496 10184 7739 8161 8598 9627 12140 8983 9587 11031 14558 9865 10648 12538 10772 11738

1P1350 1435

1M9256 11262

1P

1M

1P835 814 862 859 850 842 821 858 847 836 805 864 853 843 863 850

1M7397 10120 6949 7802 8596 10445 14792 9397 10521 13292 19485 11103 12522 15955 12789 14483

1P338 338 338 338 338 338 338 338 338 338 338 338 338 338 338 338

1146 10078 1197 12752 1164 8972 1182 9638 1194 10290 1241 11929 1360 15952 1244 10963 1270 11884 1348 14193 1547 19852 1299 12369 1336 13575 1443 16594 1361 13792 1412 15286

826 5520 839 5942 857 6478 871 6991 916 8297 1033 11474 917 7545 943 8269 1019 10104 970 1006 1030 8676 9622 9834

242 3180 242 3947 242 4911 242 5869 242 8157 242 12884 242 242 242 242 242 242 7035 8224 11123 8943 10556 10798

1859 6449 1926 6798 1999 7188 2171 8031 2608 10074 2085 7479 2193 8007 2452 9194 3107 12076 2243 8200 2388 8874 2733 10424 2402 2583 8866 9682

1366 8398 1395 8898 1419 9400 1495 10627 1688 13632 1486 9888 1530 10590 1653 12317 1965 16545 1569 10945 1631 11861 1797 14122 1652 1731 12014 13145

2 2 SQUARE TIED COLUMNS 242 + 2424-#11 4-#14 4-#18 8-# 8 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 16-#10 16-#11 16-#14 20-#10 20-#11 1.08 1.56 2.78 1.10 1.39 1.76 2.17 3.13 5.56 2.65 3.25 4.69 3.53 4.33 6.25 4.41 5.42 3825 4028 4494 3692 3790 3911 4019 4303 5000 4206 4367 4797 4479 4691 5270 4734 4995 1566 1652 1870 1568 1621 1688 1761 1933 2370 1847 1955 2214 2005 2150 2495 2164 2345 5367 5883 7123 5028 5277 5589 5933 6687 8508 6204 6670 7732 6854 7450 8837 7461 8186 1338 1384 1504 1366 1397 1437 1473 1577 1844 1547 1607 1770 1658 1742 1963 1773 1884 6348 6969 8476 5999 6299 6678 7067 7989 10234 7420 7957 9251 8216 8912 10604 9034 9892 1126 1159 1245 1150 1172 1202 1226 1302 1494 6866 7601 9395 6483 6838 7289 7736 8837 11525 961 7359 980 8338 1031 10731 981 6878 995 7350 1012 7951 1026 8534 1072 10006 1189 13606 1074 9148 1100 9970 1177 12042 1128 10416 1165 11492 1269 14200 1189 11700 1239 13049 711 702 682 730 727 724 715 706 684 721 710 698 726 715 702 724 719 5247 6244 8681 5248 5853 6596 7255 8883 12700 8035 9032 11498 9554 10800 13851 11036 12534 288 288 288 288 288 288 288 288 288 288 288 288 288 288 288 288 288 3446 4812 8112 3540 4403 5489 6580 9180 15057 7994 9407 12717 10118 11978 16273 12313 14458 4-#14 4-#18 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 20-#10 20-#11 20-#14 24-#11 1.15 2.04 1.02 1.30 1.59 2.30 4.08 1.94 2.39 3.44 6.12 2.59 3.18 4.59 3.24 3.98 5.74 4.78 6169 6780 5856 6012 6154 6518 7385 6383 6594 7140 8461 6720 6994 7694 7040 7374 8235 7800

2 2 SQUARE TIED COLUMNS 282 + 2822147 8561 2365 10109 2116 7785 2183 8170 2256 8607 2428 9540 2865 11806 2342 8918 2450 9507 2709 10821 3364 14018 2500 9710 2645 10461 2990 12176 2659 10434 2840 11341 3271 13436 3035 12274 1852 1970 1870 1910 1944 2048 2315 2021 2080 2244 2660 2133 2217 2440 2247 2358 2644 2489 10232 12103 9388 9852 10339 11475 14257 10754 11426 13021 16927 11724 12593 14681 12719 13793 16385 14958 1558 11137 1642 13358 1576 10185 1605 10735 1629 11291 1704 12644 1898 15968 1696 11821 1740 12600 1864 14505 2178 19184 1780 12982 1842 13998 2010 16493 1864 14155 1944 15411 2156 18502 2053 16848 1328 12048 1377 15004 1347 1365 1377 1424 1543 1428 1454 1533 1734 10824 11555 12276 14081 18528 13009 14028 16574 22834 979 957 1008 1005 996 988 969 1005 994 985 957 1012 1002 994 1012 1000 990 1008 8681 11693 8174 9113 10047 12152 17041 10883 12144 15194 22257 12790 14374 18185 14663 16582 21153 18748 392 392 392 392 392 392 392 392 392 392 392 392 392 392 392 392 392 392 5837 9916 5311 6640 7996 11218 18973 9725 11679 16057 25955 12539 14878 20499 15291 18211 24793 21276

1291 8182 1335 8808 1458 10357 1373 1435 1600 1455 1535 9136 9952 11978 10100 11107

1484 14553 1521 15888 1629 19219 1547 16116 1598 17770 1739 21894 1665 19681

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-2

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 302 + 302 fc = 5,000 psi fy = 60,000 psi U Bars Symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M6348 10816 7214 8702 12233 20776 10586 12740 17803 28747 13784 16367 22553 36884 16746 19994 27432 23437

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 342 + 342 fc = 5,000 psi fy = 60,000 psi U Bars Symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M12614 10109 14258 24371 12302 14853 20899 34533 16153 19422 26755 44458 19702 23565 32789 27887 38392

BARS4-#14 4-#18 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 24-#11

BARS4-#18 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 24-#11 24-#14

1M1.00 1.78 1.13 1.39 2.00 3.56 1.69 2.08 3.00 5.33 2.26 2.77 4.00 7.11 2.82 3.47 5.00 4.16 7476 8164 7298 7457 7864 8831 7709 7945 8552 10018 8080 8385 9160 11090 8433 8805 9756 9274

1P

1M

1P2114 2231 2174 2208 2311 2578 2286 2345 2509 2926 2399 2482 2706 3273 2513 2623 2909 2754

1M12194 14248 11767 12304 13548 16599 12750 13490 15236 19523 13806 14764 17049 22659 14891 16072 18911 17332

1P1782 1865

1M13264 15698

1P

1M

1P1134 1112 1162 1153 1146 1127 1163 1153 1144 1119 1171 1162 1155 1135 1172 1161 1154 1170

1M10108 13408 10564 11589 14011 19450 12501 13895 17240 25212 14624 16374 20569 30594 16640 18839 23877 21159

1P450 450 450 450 450 450 450 450 450 450 450 450 450 450 450 450 450 450

1M1.38 1.08 1.56 2.77 1.32 1.62 2.34 4.15 1.76 2.16 3.11 5.54 2.20 2.70 3.89 3.24 4.67 11465 10594 11089 12264 10890 11179 11912 13678 11330 11702 12634 14873 11752 12204 13342 12763 14136

1P

1M

1P2810 2793 2895 3162 2874 2931 3094 3513 2987 3069 3293 3864 3100 3209 3495 3342 3686

1M19276 16971 18431 22024 17476 18354 20404 25453 18705 19840 22523 29135 19966 21368 24701 22817 26779

1P2359

1M21183

1P

1M

1P1455 1500 1493 1477 1513 1502 1495 1475 1522 1513 1509 1497 1525 1515 1511 1526 1525

1M17309 15127 18059 24655 16200 17851 21798 31350 18751 20856 25835 37752 21072 23679 29855 26473 33740

1P578 578 578 578 578 578 578 578 578 578 578 578 578 578 578 578 578

2423 10158 2642 11863 2459 9716 2532 10201 2704 11225 3141 13716 2618 2726 2985 3641 2776 2921 3266 4140 10530 11183 12624 16137 11393 12224 14105 18700

1523 14267 1571 17504 1562 1574 1620 1741 1626 1652 1731 1934 1682 1720 1829 2104 13721 14510 16483 21352 15304 16422 19204 26065 16986 18451 22092 31064

3251 15950 3141 13961 3313 15170 3750 18116 3227 3336 3594 4250 3386 3531 3875 4749 14324 15107 16804 20956 15328 16322 18536 23965

2002 23320 2009 19796 2056 22101 2176 27816 2064 2089 2169 2375 2121 2159 2269 2550 20710 22024 25280 33342 22667 24391 28656 39208

1831 12815 1854 13426 1929 14906 2123 18548 1923 13998 1966 14854 2090 16938 2406 22068 2007 15263 2069 16379 2237 19109 2664 25826 2092 16541 2172 17921 2385 21303 2280 19490

2353 18500 2428 20232 2622 24514 2424 19154 2467 20165 2591 22607 2909 28642 2510 20626 2571 21945 2741 25145 3172 33052 2595 22114 2675 23744 2890 27711 2783 25575 3046 30322

2935 12176 3116 13176 3547 15469 3311 14193

1746 18687 1798 20504 1940 25014 1866 22588

3544 16228 3725 17418 4156 20108 3920 18602 4437 21798

2187 24648 2238 26787 2383 32072 2308 29220 2483 35541

2 2 SQUARE TIED COLUMNS 322 + 3224-#18 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 24-#11 24-#14 1.56 1.22 1.76 3.13 1.49 1.83 2.64 4.69 1.98 2.44 3.52 6.25 2.48 3.05 4.39 3.66 5.27 9722 8934 9384 10454 9207 9470 10140 11753 9612 9951 10803 12856 10000 10411 11455 10925 12186 2937 13806 2827 11982 2999 13098 3436 15816 2913 3022 3280 3936 3072 3216 3561 4435 12328 13046 14614 18446 13262 14174 16221 21232 2511 2491 2594 2861 2571 2629 2792 3210 2683 2766 2990 3560 2797 2907 3193 3039 3383 16633 14509 15861 19183 14985 15794 17692 22359 16128 17174 19658 25769 17302 18592 21678 19947 23620 2104 18301 2096 15823 2171 17429 2365 21391 2166 2208 2333 2649 2251 2312 2481 2910 16437 17370 19633 25215 17805 19023 21988 29299 1779 20270 1785 17011 1831 19150 1952 24442 1838 1863 1943 2148 1895 1932 2042 2320 17865 19081 22100 29561 19684 21279 25232 34994 1278 1321 1314 1297 1332 1322 1314 1292 1341 1332 1327 1311 1343 1333 1327 1343 1340 15277 13283 16000 21964 14270 15792 19438 28242 16613 18532 23116 34081 18771 21179 26774 23731 30431 512 512 512 512 512 512 512 512 512 512 512 512 512 512 512 512 512 11716 9406 13247 22576 11445 13798 19374 31606 15007 17881 24638 40778 18216 21771 30138 25641 35320

2 2 SQUARE TIED COLUMNS 362 + 3624-#18 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 1.23 1.39 2.47 1.18 1.44 2.08 3.70 1.57 1.93 2.78 4.94 1.96 2.41 3.47 6.17 2.89 4.17 13404 12989 14272 12767 13084 13882 15803 13243 13650 14663 17092 13700 14194 15429 18422 14798 16286 3584 18307 3646 17452 4084 20628 3560 3669 3927 4583 3719 3864 4208 5083 3877 4059 4489 5582 16528 17378 19205 23678 17599 18680 21062 26910 18561 19847 22737 29854 3129 3216 3481 3196 3252 3416 3834 3309 3391 3615 4187 3423 3531 3817 4547 3664 4008 22191 21272 25137 20236 21185 23387 28820 21552 22778 25660 32774 22896 24415 27996 36838 25958 30210 2630 24362 2238 26672 2294 25354 2415 31492 2303 2328 2409 2616 2362 2399 2510 2792 2427 2479 2625 2993 23857 25270 28762 37425 25952 27806 32381 43724 28072 30373 36045 50099 1643 1684 1668 1704 1693 1686 1668 1714 1705 1702 1693 1717 1708 1705 1694 1720 1721 19513 20286 27532 18299 20079 24330 34634 21023 23357 28734 41668 23537 26353 33105 48674 29395 37231 648 648 648 648 648 648 648 648 648 648 648 648 648 648 648 648 648 13512 15269 26164 13157 15906 22420 37527 17297 20872 28903 48029 21203 25375 35323 58125 30032 41515 2702 23331 2895 27933 2699 22168 2741 23256 2865 25877 3184 32365 2785 23743 2846 25163 3016 28599 3448 37101 2870 25336 2951 27091 3166 31351 3713 41888 3058 29054 3321 34151

3230 14103 3411 15198 3842 17689 3606 16298 4123 19258

2336 19188 2416 20693 2630 24367 2524 22393 2786 26789

1960 21526 2011 23504 2155 28401 2080 25762 2254 31619

4253 21116 4770 24549

2550 32980 2726 39765

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-3

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 382 + 382 fc = 5,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 442 + 442 fc = 5,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M33311 28473 48947 21847 26478 37435 62736 27055 32747 45662 76920 38571 54042 89805

BARS4-#18 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14

BARS8-#18 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 24-#18

1M1.11 15551 1.25 15096 2.22 16489 1.06 14851 1.30 15196 1.87 160P60 3.32 18139 1.41 15362 1.73 15805 2.49 16900 4.43 19526 1.76 15856 2.16 16392 3.12 17727 5.54 20953 2.59 17043 3.74 18647

1P3936 3999 4436 3913 4021 4280 4935 4071 4216 4561 5435 4230 4411 4842 5934 4606 5123

1M20886 19956 23364 18952 19869 21827 26623 20089 21254 23810 30078 21114 22498 25588 33206 23851 27521

1P3466 3555 3820 3537 3592 3756 4174 3649 3731 3956 4528 3764 3871 4157 4887 4005 4349

1M25394 24400 28539 23283 24302 26658 32474 24686 26002 29084 36701 26113 27741 31578 41045 29385 33928

1P2918 2991 3184 2990 3032 3156 3475 3077 3137 3307 3741 3161 3241 3458 4007 3349 3613

1M27855 26744 31666 25494 26660 29461 36402 27173 28695 32367 41465 28871 30752 35304 46582 32845 38294

1P2489 2547 2668 2557 2582 2663 2870 2616 2653 2765 3049 2682 2734 2880 3251 2805 2982

1M30343 28926 35487 27324 28834 32563 41827 29556 31540 36427 48559 31816 34279 40338 55374 37059 44309

1P1843 1885 1869 1906 1896 1889 1872 1917 1908 1906 1899 1921 1912 1910 1902 1924 1927

1M21901 22691 30604 20578 22488 27043 38104 23473 26009 31822 45729 26183 29209 36450 53329 32504 40916

1P

1M1.65 1.39 2.48 1.05 1.29 1.86 3.31 1.31 1.61 2.32 4.13 1.93 2.79 4.96 24503 23950 26520 23075 23626 24977 28213 23680 24347 25988 29943 25141 27108 31878

1P5607 5451 6106 5242 5387 5732 6606 5401 5582 6013 7105 5777 6294 7605

1M33026 31139 36915 28995 30416 33477 41027 30208 31890 35587 44719 33495 37884 48737

1P4950 4889 5307 4786 4865 5089 5663 4901 5006 5291 6021 5140 5485 6363

1M40623 38346 45318 35957 37548 41233 50364 37632 39592 44166 55529 41543 46958 60412

1P4149 4124 4443 4047 4106 4277 4713 4132 4210 4427 4981 4319 4583 5257

1M44921 42267 50571 39515 41343 45723 56613 41528 43787 49219 62722 46244 52746 68937

1P3510 3507 3716 3463 3499 3612 3899 3531 3581 3729 4106 3652 3831 4288

1M49567 46063 57128 42465 44838 50658 65162 45144 48091 55312 73295 51395 60036 81553

1P2541 2563 2550 2593 2584 2583 2582 2598 2589 2590 2590 2603 2609 2623

1M40966 36368 49717 31999 35046 42315 59200 35306 38977 47691 68673 43051 53220 77888

1P968 968 968 968 968 968 968 968 968 968 968 968 968 968

722 14410 722 16277 722 27954 722 14011 722 16957 722 23937 722 40588 722 18438 722 22278 722 31083 722 51642 722 22720 722 27203 722 37877 722 62743 722 32150 722 44690

2 2 SQUARE TIED COLUMNS 462 + 4628-#18 12-#14 12-#18 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 24-#18 1.51 1.28 2.27 1.18 1.70 3.02 1.20 1.47 2.13 3.78 1.77 2.55 4.54 27666 27070 29808 26722 28161 31607 26777 27488 29235 33442 28332 30424 35490 6035 5879 6535 5815 6160 7034 5829 6010 6441 7534 6205 6722 8033 36770 34763 40869 33988 37219 45190 33755 35539 39440 49080 37228 41858 53313 5364 5305 5722 5281 5504 6077 5318 5422 5707 6437 5557 5901 6780 45331 42919 50279 42073 45960 55598 42147 44218 49039 61022 46272 51978 66168 4503 4479 4797 4462 4632 5069 4488 4565 4782 5336 4675 4939 5613 50082 47277 56036 46301 50918 62405 46487 48874 54599 68845 51451 58301 75370 3818 3817 4026 3809 3922 4210 3841 3892 4040 4418 3962 4142 4600 55018 51321 62986 50028 56160 71454 50345 53453 61061 80027 56931 66037 88732 2788 2810 2798 2831 2831 2831 2846 2837 2838 2841 2851 2859 2875 44736 39904 54021 38483 46164 64148 38775 42658 51872 74275 46972 57768 83882 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 35093 29980 51636 27874 39453 66519 28475 34496 48300 81438 40735 57092 95309

2 2 SQUARE TIED COLUMNS 402 + 4024-#18 8-#14 8-#18 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 1.00 1.13 2.00 1.17 1.69 3.00 1.27 1.56 2.25 4.00 1.59 1.95 2.81 5.00 2.34 3.38 17916 17421 18926 17525 18456 20697 17700 18178 19358 22183 18230 18810 20245 23709 19508 21231 4308 4370 4807 4392 4651 5307 4442 4587 4932 5806 4601 4782 5213 6306 4977 5494 23701 22694 26334 22594 24682 29804 22811 24060 26785 33482 23899 25381 28673 36794 26818 30727 3822 3914 4178 3952 4115 4533 4009 4090 4315 4888 4124 4230 4516 5246 4364 4709 28901 27830 32243 27722 30230 36431 28121 29528 32810 40931 29630 31369 35451 45556 33115 37948 3222 3297 3490 3338 3462 3781 3384 3444 3614 4049 3469 3548 3765 4317 3656 3920 31679 30487 35730 30396 33376 40771 30934 32558 36465 46160 32737 34744 39589 51608 36958 42766 2754 2814 2934 2849 2930 3138 2884 2921 3033 3318 2951 3002 3149 3522 3073 3252 34351 32836 39820 32737 36702 46566 33498 35611 40809 53732 35898 38522 44968 60987 41477 49190 2054 2098 2082 2109 2103 2087 2132 2122 2121 2116 2136 2126 2126 2121 2139 2144 24481 25285 33879 25086 29948 41768 26113 28819 35109 49999 29020 32267 39990 58209 35810 44803 800 800 800 800 800 800 800 800 800 800 800 800 800 800 800 800 15306 17285 29742 18006 25452 43554 19576 23681 33294 55298 24209 29048 40451 67452 34278 47916

2 2 SQUARE TIED COLUMNS 482 + 4828-#18 12-#14 12-#18 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 24-#18 1.39 1.17 2.08 1.08 1.56 2.78 1.10 1.35 1.95 3.47 1.63 2.34 4.17 31093 30454 33362 30082 31609 35268 30137 30894 32748 37210 31787 34005 39373 6483 6326 6982 6263 6607 7482 6276 6458 6888 7981 6652 7169 8481 40794 38666 45103 37838 41240 49634 37579 39466 43572 53721 41240 46112 58171 5797 5740 6156 5716 5939 6511 5754 5857 6142 6871 5992 6336 7215 50403 47856 55604 46962 51051 61197 47025 49209 54277 66881 51364 57363 72289 4872 4850 5168 4833 5004 5440 4860 4937 5153 5707 5046 5311 5985 55642 52687 61902 51658 56511 68597 51846 54360 60379 75367 57058 64255 82203 4141 4141 4350 4134 4246 4535 4166 4216 4365 4744 4286 4466 4925 60878 56987 69253 55627 62071 78154 55955 59224 67219 87167 62876 72446 96319 3045 3069 3056 3090 3090 3091 3105 3096 3098 3102 3111 3119 3137 48733 43669 58557 42148 50234 69339 42474 46570 56285 79991 51088 62554 90126 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 36874 31485 54320 29267 41467 70344 29892 36243 50959 85973 42911 60155 100881

2 2 SQUARE TIED COLUMNS 422 + 4228-#14 8-#18 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 24-#18 1.02 1.81 1.06 1.53 2.72 1.15 1.41 2.04 3.63 1.44 1.77 2.55 4.54 2.12 3.06 5.44 19975 21593 20084 21083 23486 20267 20781 22046 25075 20835 21457 22995 26702 22203 24048 28526 4760 5197 4783 5041 5697 4833 4978 5322 6196 4991 5172 5603 6696 5367 5884 7195 25676 29551 25562 27783 33230 25776 27110 30003 37132 26926 28508 32002 40628 30029 34177 44430 4291 4554 4330 4492 4910 4388 4468 4692 5267 4503 4609 4894 5624 4743 5087 5966 31578 36266 31459 34121 40708 31873 33371 36855 45481 33465 35314 39642 50385 37163 42286 55006 3619 3811 3661 3785 4104 3708 3767 3938 4373 3792 3871 4088 4642 3980 4244 4917 34579 40143 34479 37639 45488 35042 36768 40912 51204 36950 39083 44221 56982 41418 47574 62863 3095 3215 3131 3212 3420 3167 3203 3315 3602 3234 3285 3432 3807 3355 3535 3989 37101 44507 36994 41196 51661 37795 40038 45547 59261 40335 43120 49953 66954 46249 54427 74766 2322 2306 2334 2328 2313 2357 2348 2347 2344 2361 2352 2352 2351 2366 2371 2381 28077 37365 27884 33053 45636 28951 31828 38604 54487 32058 35516 43734 63320 39323 48901 72133 882 882 882 882 882 882 882 882 882 882 882 882 882 882 882 882 18291 31528 19053 26963 46253 20713 25081 35413 58996 25634 30911 43046 72252 36419 51007 84315

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-4

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 102 + 102 fc = 6,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M274 360 459 570 686 826 941 482 638 777 925

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 162 + 162 fc = 6,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M1138 1398 1722 2041 2799 4562 1265 1666 2127 2616 3225 3743 4826 4348 5041

BARS4-# 5 4-# 6 4-# 7 4-# 8 4-# 9 4-#10 4-#11 8-# 5 8-# 6 8-# 7 8-# 8

BARS4-# 8 4-# 9 4-#10 4-#11 4-#14 4-#18 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 8-#11 8-#14 12-#10 12-#11

1M1.24 1.76 2.40 3.16 4.00 5.08 6.24 2.48 3.52 4.80 6.32 311 320 331 343 356 371 381 321 335 351 369

1P324 340 359 383 409 442 477 362 394 433 480

1M500 527 560 596 631 673 691 534 574 622 676

1P233 241 252 265 278 294 304 256 274 296 323

1M530 560 596 635 675 723 740 571 617 670 730

1P195 200 206 213 220 229 230 213 224 239 255

1M535 570 610 655 701 756 774 584 636 697 765

1P164 165 167 169 170 172 164 173 178 183 189

1M527 571 622 679 737 806 829 589 655 732 818

1P115 110 103 94 84 70 44 108 99 86 71

1M401 458 527 604 686 785 822 512 597 695 804

1P60 60 60 60 60 60 60 60 60 60 60

1M1.23 1.56 1.98 2.44 3.52 6.25 1.38 1.88 2.47 3.13 3.97 4.88 7.03 5.95 7.31 1317 1352 1395 1430 1525 1738 1292 1332 1380 1431 1500 1551 1699 1667 1746

1P828 854 887 923 1008 1223 839 879 925 977 1043 1115 1285 1200 1307

1M2029 2121 2236 2352 2620 3247 1967 2075 2200 2334 2504 2669 3065 2848 3076

1P644 658 676 689 736 859 659 682 709 739 778 814 914 881 938

1M2248 2359 2499 2629 2958 3733 2181 2312 2465 2631 2840 3033 3525 3255 3522

1P542 551 564 573 606 694 553 569 588 610 637 661 732 720 761

1M2351 2483 2650 2800 3193 4085 2276 2432 2616 2814 3064 3291 3883 3565 3882

1P462 467 474 478 497 541 473 483 496 509 527 541 587 572 594

1M2434 2610 2830 2997 3482 4575 2336 2545 2791 3058 3389 3645 4375 4078 4443

1P340 337 332 320 302 249 345 342 338 334 327 308 279 322 296

1M1752 1936 2168 2383 2931 4226 1816 2060 2337 2629 2989 3300 4110 3802 4218

1P154 154 154 154 154 154 154 154 154 154 154 154 154 154 154

2 2 SQUARE TIED COLUMNS 122 + 1224-# 6 4-# 7 4-# 8 4-# 9 4-#10 4-#11 4-#14 8-# 5 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 1.22 1.67 2.19 2.78 3.53 4.33 6.25 1.72 2.44 3.33 4.39 5.56 7.06 545 561 579 598 622 638 689 546 566 590 618 647 684 465 485 508 534 567 603 688 488 519 559 606 657 724 861 907 959 1015 1085 1146 1300 868 924 992 1069 1152 1255 347 357 370 384 403 419 467 363 381 404 431 461 499 931 987 1051 1119 1205 1255 1418 943 1012 1095 1191 1294 1422 292 299 308 318 331 336 362 303 316 331 350 371 397 960 1024 1095 1171 1263 1317 1504 976 1059 1154 1262 1375 1514 248 252 255 259 264 261 268 257 265 274 284 294 306 961 1040 1131 1226 1342 1409 1646 984 1085 1205 1342 1486 1662 178 173 167 160 150 131 99 178 172 164 154 142 125 708 802 910 1026 1170 1292 1614 797 921 1065 1226 1395 1601 86 86 86 86 86 86 86 86 86 86 86 86 86 469 606 761 924 1126 1309 1755 632 849 1103 1363 1592 1870

2 2 SQUARE TIED COLUMNS 182 + 1824-# 9 4-#10 4-#11 4-#14 4-#18 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 8-#11 8-#14 12-#10 12-#11 16-#10 1.23 1.57 1.93 2.78 4.94 1.09 1.48 1.95 2.47 3.14 3.85 5.56 4.70 5.78 6.27 1888 1942 1987 2110 2379 1814 1864 1922 1984 2062 2128 2320 2260 2375 2453 1048 1082 1117 1202 1417 1034 1073 1120 1171 1238 1309 1479 1394 1501 1550 2878 3016 3161 3487 4259 2691 2819 2968 3130 3333 3538 4019 3743 4025 4147 827 844 857 903 1024 830 852 879 909 949 984 1085 1053 1111 1167 3215 3383 3544 3942 4892 3001 3157 3339 3536 3786 4024 4619 4279 4610 4810 696 708 716 749 835 699 715 734 756 783 807 879 868 910 944 3379 3578 3763 4239 5378 3131 3316 3533 3769 4068 4346 5061 4664 5054 5301 593 599 603 621 672 600 610 623 637 655 669 716 702 725 758 3517 3783 4025 4652 6067 3189 3437 3728 4045 4446 4815 5759 5248 5790 6098 437 433 425 414 374 446 443 440 436 431 421 404 420 416 419 2531 2806 3067 3728 5310 2392 2705 3044 3401 3844 4239 5245 4867 5401 5849 194 194 194 194 194 194 194 194 194 194 194 194 194 194 194 1633 2019 2405 3318 5475 1472 1945 2492 3079 3810 4519 6053 5260 6122 6687

2 2 SQUARE TIED COLUMNS 142 + 1424-# 7 4-# 8 4-# 9 4-#10 4-#11 4-#14 8-# 5 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 8-#11 1.22 1.61 2.04 2.59 3.18 4.59 1.27 1.80 2.45 3.22 4.08 5.18 6.37 874 900 927 960 984 1055 853 880 912 952 992 1042 1080 634 657 683 716 752 836 636 668 707 754 806 872 943 1363 1432 1505 1597 1685 1896 1310 1383 1471 1572 1681 1817 1943 484 496 510 528 543 591 492 510 532 559 590 629 664 1494 1577 1667 1779 1879 2139 1436 1525 1632 1756 1890 2058 2207 407 416 425 438 448 482 413 426 441 461 482 509 533 1553 1652 1759 1894 1999 2283 1486 1592 1720 1869 2030 2232 2392 347 352 357 365 367 380 353 361 371 384 397 415 425 1587 1712 1845 2011 2127 2485 1507 1644 1809 1998 2199 2449 2627 253 249 244 237 222 198 259 255 249 243 235 223 198 1150 1289 1439 1627 1795 2231 1158 1324 1517 1734 1963 2244 2476 118 118 118 118 118 118 118 118 118 118 118 118 118 751 950 1162 1425 1675 2278 781 1058 1385 1758 2151 2556 2872

2 2 SQUARE TIED COLUMNS 202 + 2024-# 9 4-#10 4-#11 4-#14 4-#18 8-# 7 8-# 8 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 16-#10 16-#11 1.00 1.27 1.56 2.25 4.00 1.20 1.58 2.00 2.54 3.12 4.50 8.00 3.81 4.68 6.75 5.08 6.24 2549 2613 2669 2816 3153 2519 2588 2662 2755 2836 3055 3594 2990 3113 3472 3197 3379 1265 1299 1334 1419 1634 1290 1337 1388 1455 1526 1696 2126 1611 1718 1972 1767 1910 3792 3954 4130 4514 5431 3721 3895 4083 4320 4567 5133 6487 4796 5134 5933 5265 5693 1017 1034 1046 1092 1211 1044 1071 1101 1140 1175 1276 1534 1246 1304 1461 1361 1444 4256 4450 4643 5111 6237 4185 4396 4626 4916 5200 5899 7582 5488 5882 6861 6104 6616 858 870 877 909 994 879 898 919 947 971 1043 1226 1034 1076 1192 1111 1169 4467 4698 4918 5476 6825 4392 4643 4917 5264 5594 6433 8458 5955 6418 7595 6694 7300 734 741 743 761 811 753 766 780 799 813 860 980 847 871 942 905 940 4613 4922 5208 5956 7756 4518 4854 5221 5687 6123 7250 9962 6615 7231 8852 7602 8407 549 545 537 528 505 557 554 550 546 536 524 489 538 523 520 538 522 3235 3555 3861 4635 6503 3445 3864 4291 4819 5301 6511 9323 6025 6723 8400 7148 8072 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 1867 2314 2767 3836 6386 2223 2856 3539 4393 5236 7246 11113 6213 7247 9774 7933 9230

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-5

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 222 + 222 fc = 6,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M2609 3129 4353 7294 3219 3997 4974 5951 8275 13234 7205 8416 11352 9103 10755 11020

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 282 + 282 fc = 6,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M5898 10010 5362 6705 8082 11340 19196 9831 11820 16407 26411 12760 15135 20823 15512 18501 25246 21633

BARS4-#10 4-#11 4-#14 4-#18 8-# 8 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 16-#10 16-#11 20-#10

BARS4-#14 4-#18 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 20-#10 20-#11 20-#14 24-#11

1M1.05 1.29 1.86 3.31 1.31 1.65 2.10 2.58 3.72 6.61 3.15 3.87 5.58 4.20 5.16 5.25 3423 3490 3663 4067 3393 3479 3588 3684 3940 4578 3859 4005 4394 4094 4286 4333

1P1538 1574 1659 1874 1577 1628 1695 1766 1936 2366 1851 1958 2212 2007 2150 2163

1M5066 5273 5717 6781 4994 5210 5481 5770 6422 7991 6022 6418 7338 6557 7058 7130

1P1246 1256 1301 1419 1284 1314 1353 1387 1488 1747 1460 1517 1675 1576 1659 1682

1M5722 5947 6485 7788 5657 5918 6250 6580 7383 9328 6901 7359 8485 7602 8198 8308

1P1050 1057 1088 1172

1M6033 6287 6928 8485

1P898 900 917 966

1M6269 6600 7458 9546

1P670 662 652 629 681 677 673 663 652 622 667 653 636 669 655 672

1M4424 4777 5663 7818 4791 5307 5923 6496 7917 11234 7258 8135 10172 8581 9665 9893

1P290 290 290 290 290 290 290 290 290 290 290 290 290 290 290 290

1M1.15 2.04 1.02 1.30 1.59 2.30 4.08 1.94 2.39 3.44 6.12 2.59 3.18 4.59 3.24 3.98 5.74 4.78 7177 7785 6896 7053 7199 7573 8468 7440 7660 8224 9588 7764 8046 8763 8102 8449 9334 8894

1P

1M

1P2059 2172 2080 2118 2150 2251 2510 2228 2284 2443 2848 2346 2428 2651 2451 2557 2837 2685

1M12033 13869 11217 11672 12145 13261 15997 12560 13215 14783 18624 13518 14368 16422 14503 15529 18073 16701

1P1734 1814

1M12779 14964

1P

1M

1P1100 1075 1133 1129 1118 1108 1085 1126 1114 1101 1066 1133 1120 1109 1139 1127 1117 1123

1M9602 12618 9097 10039 10975 13065 17980 11798 13072 16137 23243 13714 15309 19145 15608 17534 22128 19714

1P470 470 470 470 470 470 470 470 470 470 470 470 470 470 470 470 470 470

2516 10542 2731 12056 2485 2551 2623 2792 3223 2708 2815 3069 3715 9793 10170 10592 11506 13727 10908 11482 12772 15913

1481 13431 1526 16353 1502 1519 1529 1573 1714 12234 12957 13664 15450 19851

1080 5966 1101 6278 1129 6673 1152 7057 1224 8018 1409 10356 1217 1259 1377 1295 1354 1383 7459 7997 9349 8301 9004 9150

925 6190 939 6606 957 7137 971 7641 1019 8933 1141 12079 1008 8193 1031 8905 1105 10722 1067 9316 1103 10249 1117 10465

1755 11854 1782 12395 1804 12937 1876 14270 2063 17548 1873 13467 1914 14229 2034 16107 2340 20721 1954 14616 2013 15613 2176 18075 2036 15776 2123 17009 2334 20059 2221 18432

1581 14396 1605 15399 1681 17917 1874 24114 1635 15929 1670 17245 1773 20542 1697 17498 1745 19135 1881 23229 1810 21006

2864 11640 3006 12363 3346 14023 3020 12397 3198 13283 3623 15340 3390 14204

2 2 SQUARE TIED COLUMNS 242 + 2424-#11 4-#14 4-#18 8-# 8 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 16-#10 16-#11 16-#14 20-#10 20-#11 1.08 1.56 2.78 1.10 1.39 1.76 2.17 3.13 5.56 2.65 3.25 4.69 3.53 4.33 6.25 4.41 5.42 4463 4664 5133 4349 4448 4573 4685 4979 5681 4882 5052 5497 5146 5367 5939 5417 5689 1837 1922 2137 1839 1891 1957 2029 2198 2629 2114 2221 2475 2270 2412 2752 2426 2604 6608 7112 8325 6283 6526 6832 7165 7903 9688 7439 7894 8936 8040 8613 9956 8674 9382 1488 1532 1649 1518 1548 1587 1620 1721 1981 1695 1752 1910 1812 1895 2115 1917 2025 7475 8084 9563 7141 7435 7807 8185 9092 11300 8537 9060 10333 9324 10004 11670 10116 10953 1254 7892 1285 8615 1367 10381 1279 7524 1301 7874 1329 8318 1351 8754 1424 9839 1609 12490 1418 1459 1578 9199 9811 11339 1072 1089 1137 8223 9190 11557 799 788 765 820 817 812 802 792 765 808 795 779 812 798 782 816 802 5827 6826 9267 5831 6439 7167 7833 9472 13308 8625 9630 12111 10148 11406 14493 11641 13149 346 346 346 3490 4869 8200

1093 7757 1106 8223 1132 8818 1145 9390 1193 10846 1317 14411 1183 10002 1207 10811 1282 12862 1244 11261 1280 12322 1386 15003 1296 12550 1342 13868

346 3581 346 4453 346 5553 346 6663 346 9299 346 15486 346 346 346 346 346 346 346 346 8101 9630 12984 10298 12188 16652 12573 14748

2 2 SQUARE TIED COLUMNS 302 + 3024-#14 4-#18 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 24-#11 1.00 1.78 1.13 1.39 2.00 3.56 1.69 2.08 3.00 5.33 2.26 2.77 4.00 7.11 2.82 3.47 5.00 4.16 8717 9396 8576 8739 9154 10149 9003 9247 9873 11385 9357 9671 10464 12381 9730 10115 11092 10605 2847 12609 3062 14276 2883 2954 3124 3554 3039 3146 3400 4046 3195 3338 3677 4538 12188 12657 13660 16101 12992 13628 15042 18494 13789 14589 16410 20859 2354 2466 2416 2447 2547 2806 2526 2581 2740 3147 2645 2727 2949 3516 2749 2855 3135 2984 14424 16439 14019 14540 15762 18762 14986 15707 17423 21639 16029 16965 19214 24738 17103 18260 21018 19500 1986 2064 15298 17693 1700 15982 1744 19182 1740 1750 1794 1936 1804 1827 1904 2098 1858 1893 1997 2289 15457 16231 18182 23001 17025 18123 20876 27667 18694 20137 23742 32629 1275 1249 1305 1294 1285 1262 1304 1291 1279 1247 1311 1299 1289 1261 1319 1307 1300 1304 11239 14544 11696 12731 15123 20585 13622 15023 18388 26414 15751 17514 21736 31862 17799 19997 25063 22333 540 540 540 540 540 540 540 540 540 540 540 540 540 540 540 540 540 540 6412 10914 7279 8787 12357 21001 10692 12881 18063 29265 14016 16650 22909 37626 16983 20280 27948 23836

2036 14871 2057 15466 2129 16923 2316 20515 2128 16038 2168 16874 2289 18929 2596 23988 2210 17290 2268 18385 2432 21078 2848 27708 2292 18553 2368 19908 2592 23246 2476 21461

1497 10143 1556 10944 1717 12943 1586 11095 1664 12085

2 2 SQUARE TIED COLUMNS 262 + 2624-#14 4-#18 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 20-#10 20-#11 1.33 2.37 1.18 1.50 1.85 2.66 4.73 2.25 2.77 3.99 7.10 3.01 3.69 5.33 3.76 4.62 5831 6368 5582 5723 5852 6186 6983 6071 6265 6769 7988 6365 6616 7259 6669 6978 2207 8715 2423 10077 2177 8048 2243 8390 2314 8767 2484 9593 2914 11595 2399 9063 2506 9576 2761 10742 3406 13574 2555 9728 2698 10376 3037 11877 2712 10424 2890 11221 1785 1900 1803 1842 1874 1975 2235 1951 2007 2166 2571 2068 2151 2373 2173 2281 9927 11584 9194 9608 10033 11044 13516 10417 11006 12426 15895 11289 12054 13914 12167 13109 1500 10558 1581 12534 1519 9725 1546 10218 1568 10707 1641 11916 1827 14880 1636 11195 1678 11881 1797 13584 2101 17753 1717 12241 1776 13140 1938 15370 1807 13297 1885 14408 1277 11174 1323 13819 1296 1313 1335 1383 1508 1375 1398 1474 1664 10092 10751 11390 13012 16994 12062 12968 15253 20856 938 914 968 964 954 944 919 961 948 934 895 966 953 940 972 959 8135 10863 7690 8547 9322 11184 15554 10140 11272 14057 20281 11850 13280 16734 13549 15255 406 406 406 406 406 406 406 406 406 406 406 406 406 406 406 406 5384 9106 4908 6130 7373 10321 17387 8968 10756 14668 23629 11517 13648 18770 14056 16642

3351 14607 3530 15584 3954 17835 3721 16588

1921 20403 1969 22199 2107 26678 2035 24241

1427 13458 1473 14647 1580 17636 1489 14887 1536 16365

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-6

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 322 + 322 fc = 6,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M11817 9492 13372 22802 11551 13939 19591 32190 15164 18192 25027 41487 18471 22077 30681 26083 35859

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 362 + 362 fc = 6,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M13620 15397 26395 13264 16047 22635 38254 17452 21080 29364 48688 21496 25723 35780 59187 30396 42170

BARS4-#18 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 24-#11 24-#14

BARS4-#18 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14

1M1.56 1.22 1.76 3.13 1.49 1.83 2.64 4.69 1.98 2.44 3.52 6.25 2.48 3.05 4.39 3.66 5.27 11216 10486 10943 12040 10771 11042 11730 13393 11158 11504 12374 14476 11565 11990 13061 12526 13822

1P

1M

1P2781 2765 2865 3124 2845 2900 3059 3466 2965 3046 3269 3837 3069 3174 3454 3304 3640

1M19313 17238 18566 21832 17715 18502 20367 24957 18844 19866 22310 28326 20006 21269 24309 22601 26219

1P2333

1M20742

1P

1M

1P1435 1483 1474 1452 1494 1481 1470 1440 1502 1491 1482 1457 1511 1500 1494 1498 1490

1M16653 14656 17333 23332 15625 17155 20821 29679 17972 19904 24518 35594 20164 22594 28200 25142 31879

1P614 614 614 614 614 614 614 614 614 614 614 614 614 614 614 614 614

1M1.23 1.39 2.47 1.18 1.44 2.08 3.70 1.57 1.93 2.78 4.94 1.96 2.41 3.47 6.17 2.89 4.17 15532 15195 16502 14983 15308 16122 18096 15434 15847 16874 19357 15912 16418 17681 20751 17047 18573

1P

1M

1P3476 3564 3821 3548 3601 3760 4167 3668 3749 3972 4541 3772 3876 4156 4870 4006 4343

1M26052 25164 28963 24159 25082 27245 32586 25459 26656 29491 36493 26790 28276 31803 40515 29793 33980

1P2926 2998 3184 3001 3040 3160 3470 3084 3142 3307 3727 3167 3244 3453 3985

1M27884 26884 31419 25752 26814 29396 35792 27311 28702 32091 40481 28885 30608 34810 45211

1P

1M

1P1847 1890 1869 1912 1899 1888 1862 1921 1910 1903 1885 1931 1921 1918 1907 1920 1916

1M21469 22241 29455 20219 22006 26277 36640 22978 25288 30699 43706 25486 28332 35117 50739 31371 39252

1P778 778 778 778 778 778 778 778 778 778 778 778 778 778 778 778 778

3416 16754 3308 14977 3478 16070 3908 18733 3393 3500 3755 4400 3549 3692 4031 4892 15331 16029 17569 21333 16193 17070 19052 23904

1979 22325 1987 19114 2031 21229 2144 26466 2042 19968 2065 21163 2142 24150 2338 31535 2097 2131 2237 2503 21774 23345 27258 36927

4193 22547 4255 21723 4685 24834 4170 4277 4531 5177 4326 4469 4808 5669 4482 4661 5085 6161 20835 21662 23455 27848 21824 22864 25170 30832 22831 24086 26922 33910

2495 29642 2552 28354 2665 34427 2566 2588 2665 2863 2622 2656 2762 3033 2687 2735 2875 3231 26887 28274 31728 40300 28966 30792 35321 46553 31096 33370 39001 52956

2329 18314 2401 19895 2587 23802 2401 2441 2561 2870 2483 2541 2706 3123 18929 19840 22070 27574 20283 21476 24401 31617

3705 17073 3884 18141 4308 20587 4076 19228 4585 22136

2566 21649 2642 23127 2850 26753 2749 24809 3005 29150

2161 23624 2209 25579 2348 30442 2276 27791 2443 33593

4852 25339 5362 28711

3350 32550 3607 37582

2803 35923 2972 42643

2 2 SQUARE TIED COLUMNS 342 + 3424-#18 4-#18 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 24-#11 24-#14 1.38 1.08 1.56 2.77 1.32 1.62 2.34 4.15 1.76 2.16 3.11 5.54 2.20 2.70 3.89 3.24 4.67 13257 12452 12952 14153 12760 13058 13808 15626 13179 13558 14506 16796 13621 14087 15253 14668 16078 3793 19506 3685 17569 3855 18752 4285 21638 3770 3877 4132 4777 3926 4069 4408 5269 17940 18702 20367 24445 18867 19824 21967 27223 3118 3104 3204 3462 3186 3240 3399 3806 3306 3387 3610 4179 3410 3515 3794 3644 3981 22511 20259 21693 25226 20766 21621 23635 28600 21980 23089 25729 32238 23229 24601 27884 26026 29928 2621 24132 2619 21503 2690 23209 2876 27429 2691 2731 2852 3161 22159 23146 25552 31502 2229 25805 2240 22334 2283 24613 2397 30268 2296 2318 2396 2593 23249 24540 27760 35739 1635 1685 1676 1654 1697 1684 1673 1645 1706 1694 1686 1665 1715 1704 1700 1703 1697 18957 16768 19711 26285 17821 19479 23447 33055 20388 22492 27502 39539 22723 25360 31550 28151 35457 694 694 694 694 694 694 694 694 694 694 694 694 694 694 694 694 694 12718 10195 14386 24600 12409 14994 21115 35186 16309 19673 27179 45065 19975 23891 33220 28274 38987 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 1.25 2.22 1.06 1.30 1.87 3.32 1.41 1.73 2.49 4.43 1.76 2.16 3.12 5.54 2.59 3.74 17686 19101 17453 17805 18684 20816 17936 18384 19491 22169 18451 18999 20360 23667 19675 21318 1.11 18056

2 2 SQUARE TIED COLUMNS 382 + 3824616 25895 4677 24997 5108 28335 4593 4700 4954 5600 4749 4891 5231 6092 4905 5083 5508 6584 24033 24926 26846 31557 25083 26204 28678 34747 26156 27505 30538 38019 3855 3946 4202 3932 3984 4142 4549 4051 4131 4355 4925 4156 4259 4539 5253 4390 4726 29957 28997 33064 27914 28905 31218 36936 29300 30584 33616 41113 30712 32305 36084 45412 33923 38395 3250 32019 2778 33858 2836 32474 2949 38964 2851 2873 2950 3149 2908 2941 3048 3320 2973 3021 3162 3520 30904 32387 36075 45241 33120 35073 39909 51923 35360 37824 43838 58768 2071 2116 2096 2139 2126 2116 2092 2150 2138 2132 2116 2151 2150 2148 2140 2150 2147 24199 24985 32853 22834 24749 29324 40445 25766 28304 34119 48106 28466 31522 38798 55741 34813 43274 866 866 866 866 866 866 866 866 866 866 866 866 866 866 866 866 866 14520 16407 28187 14119 17098 24152 41289 18592 22485 31583 52354 22992 27574 38362 63931 32531 45408 3324 30942 3509 35792 3328 29727 3366 30864 3487 33623 3797 40466 3412 3469 3634 4056 3494 3571 3781 4315 3677 3935 31389 32879 36500 45478 33067 34912 39403 50535 36984 42362

2775 23616 2833 24908 2997 28065 3417 35868 2858 25087 2934 26686 3143 30600 3041 28499 3297 33185

2351 25191 2386 26889 2492 31111 2760 41561 2416 27181 2464 29296 2604 34542 2531 31678 2700 37939

4082 19809 4261 20970 4685 23610 4453 22140 4962 25279

5275 28841 5784 32447

3089 40547 3260 47727

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-7

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 402 + 402 fc = 6,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M15420 17415 29976 18148 25666 43991 19730 23887 33715 56066 24418 29443 40965 68771 34677 48533

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 442 + 442 fc = 6,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M33549 28687 49378 22000 26682 37757 63623 27261 33026 46239 77898 39006 54636 91298

BARS4-#18 8-#14 8-#18 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14

BARS8-#18 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 24-#18

1M1.00 1.13 2.00 1.17 1.69 3.00 1.27 1.56 2.25 4.00 1.59 1.95 2.81 5.00 2.34 3.38 20841 20439 21962 20564 21508 23800 20700 21182 22371 25247 21251 21841 23302 26850 22565 24327

1P

1M

1P4256 4349 4604 4388 4546 4953 4456 4535 4758 5329 4561 4663 4942 5657 4794 5131

1M34246 33212 37548 33111 35574 41669 33522 34895 38124 46116 35016 36717 40737 50693 38434 43192

1P3592 3668 3852 3711 3831 4141

1M36559 35404 40569 35319 38255 45544

1P

1M

1P2309 2356 2335 2366 2356 2333 2390 2379 2373 2359 2392 2380 2390 2386 2392 2391

1M27159 27956 36490 27720 32600 44481 28781 31500 37773 52751 31675 34940 42711 61002 38489 47534

1P960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960

1M1.65 1.39 2.48 1.05 1.29 1.86 3.31 1.31 1.61 2.32 4.13 1.93 2.79 4.96 28525 27995 30612 27066 27617 28972 32253 27691 28366 30029 34069 29186 31190 36075

1P

1M

1P5473 5417 5823 5330 5407 5629 6200 5435 5535 5814 6528 5667 6003 6863

1M47744 45512 52364 43191 44742 48365 57350 44848 46764 51268 62461 48683 54013 67263

1P4593 4575 4885

1M51422 48814 56997

1P

1M

1P2851 2874 2852 2909 2897 2893 2882 2912 2899 2895 2912 2913 2914 2913

1M44523 39882 53291 35539 38597 45831 62815 38824 42511 51293 72344 46586 56812 81604

1P1162 1162 1162 1162 1162 1162 1162 1162 1162 1162 1162 1162 1162 1162

5061 29565 5123 28593 5553 32158 5145 28509 5400 30558 6045 35587 5194 5337 5676 6537 5350 5529 5953 7029 28661 29863 32500 38985 29799 31245 34475 42449

3076 38473 3136 36994 3249 43901 3174 36900 3251 40821 3450 50581 3209 3243 3350 3623 3275 3323 3465 3825 37674 39754 44898 57693 40053 42638 49075 64980

6513 40835 6359 39008 7005 44679 6154 6297 6636 7497 6310 6488 6913 7989 36838 38204 41167 48476 38107 39747 43374 52339

3896 55058 3900 51598 4100 62544 3860 3893 4000 4275 3927 3974 4116 4480 48067 50400 56160 70518 50723 53625 60772 78687

4504 46131 4559 47919 4724 52237 5148 62980 4586 48120 4660 50334 4870 55691 5409 69017 4768 52766 5025 59183 5682 75169

3758 35871 3814 37460 3979 41313 4402 50879 3840 3916 4126 4662 37653 39620 44400 56263

6680 41332 7189 45642 8481 56306

4041 56903 4214 65461 4655 86775

5721 32664 6230 36503

4023 41812 4280 47545

3391 45571 3563 53210

2 2 SQUARE TIED COLUMNS 462 + 4628-#18 1.51 1.28 2.27 1.18 1.70 3.02 1.20 1.47 2.13 3.78 1.77 2.55 4.54 32254 31685 34467 31282 32720 36206 31357 32075 33841 38131 32944 35071 40255 7027 45720 6873 43778 7519 49772 6811 42919 7150 46046 8011 53762 6824 7002 7427 8503 42803 44542 48369 57832 5939 5885 6290 5875 6096 6666 5904 6004 6282 6995 6135 6472 7331 53496 51134 58365 50318 54138 63621 50415 52440 57186 68989 54460 60076 74050 4991 57540 4243 61321 4248 57671 4448 69210 4242 56408 4349 62475 4625 77615 4276 56742 4323 59803 4466 67333 4830 86112 4390 63254 4563 72271 5005 94750 3128 3152 3131 3175 3171 3162 3191 3178 3174 3165 3192 3194 3196 48820 43913 58089 42534 50249 68255 42788 46687 55968 78445 51029 61852 88101 1270 1270 1270 1270 1270 1270 1270 1270 1270 1270 1270 1270 1270 35333 30194 52065 28076 39773 67469 28678 34773 48910 82412 41190 57709 96913

2 2 SQUARE TIED COLUMNS 422 + 4228-#14 8-#18 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 24-#18 1.02 1.81 1.06 1.53 2.72 1.15 1.41 2.04 3.63 1.44 1.77 2.55 4.54 2.12 3.06 5.44 23466 25098 23597 24607 27061 23739 24255 25527 28604 24327 24959 26521 30313 25731 27613 32203 5591 32525 6022 36319 5614 32429 5868 34607 6514 39956 5663 5805 6145 7006 5819 5997 6421 7498 32574 33858 36657 43560 33778 35320 38748 47217 4773 5028 4813 4971 5377 4882 4960 5183 5755 4987 5089 5368 6082 5220 5557 6416 37830 42435 37718 40332 46805 38146 39608 43033 51522 39721 41530 45791 56374 43348 48392 60919 4030 40292 4214 45773 4074 40199 4194 43311 4504 51047 4122 4178 4343 4766 4204 4279 4489 5027 40778 42466 46552 56706 42663 44754 49822 62416 3452 41935 3564 49259 3490 41835 3568 45989 3767 56341 3527 3560 3667 3942 3593 3641 3783 4145 42649 44856 50308 63885 45167 47910 54675 71612 2607 2587 2619 2609 2586 2644 2632 2627 2615 2646 2633 2628 2643 2646 2646 2642 31166 40376 30930 36115 48759 32034 34923 41674 57650 35124 38600 46885 66533 42409 52043 75388 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 1058 18421 31764 19196 27177 46687 20866 25285 35738 59822 25841 31276 43591 73414 36835 51577 85756

12-#14 12-#18 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 24-#18

4974 54785 5284 63416 4959 53839 5124 58390 5548 69721 4986 54044 5060 56382 5270 62028 5808 76085 5168 58933 5425 65692 6083 82545

7194 46210 7703 50757 8995 62012

2 2 SQUARE TIED COLUMNS 482 + 4828-#18 12-#14 12-#18 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 24-#18 1.39 1.17 2.08 1.08 1.56 2.78 1.10 1.35 1.95 3.47 1.63 2.34 4.17 36299 35691 38640 35262 36784 40478 35339 36101 37970 42513 37019 39269 44755 7564 50992 7410 48933 8056 55251 7348 48017 7687 51309 8548 59435 7361 7539 7964 9040 47882 49720 53748 63710 6426 6374 6778 6364 6585 7154 6394 6493 6771 7483 6625 6961 7820 59710 57217 64829 56355 60373 70355 56443 58577 63565 75980 60697 66601 81298 5407 5392 5701 64146 61245 70323 4606 68068 4612 64229 4812 76360 4606 62900 4714 69275 4990 85195 4642 4688 4831 5196 63247 66465 74378 94129 3417 3442 3421 3466 3462 3454 3482 3469 3466 3458 3483 3486 3490 53363 48219 63164 46746 54864 73983 47028 51139 60919 84740 55714 67175 94891 1382 1382 1382 1382 1382 1382 1382 1382 1382 1382 37115 31700 54747 29469 41785 71361 30094 36517 51603 86955

6189 36822 6698 40896 7989 50971

4386 47066 4644 53141 5300 68237

3708 51016 3881 59114 4319 79262

5377 60247 5542 65031 5965 76952 5405 60457 5477 62918 5687 68854 6225 83643 5586 65589 5843 72690 6501 90409

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

7731 51472 8240 56256 9532 68103

4755 70090 4928 79565 5370 103211

1382 43388 1382 60797 1382 102600

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-8

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 102 + 102 fc = 8,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M287 377 480 596 716 862 986 504 668 842 1001

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 162 + 162 fc = 8,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M1170 1436 1767 2097 2872 4681 1299 1710 2183 2689 3320 3921 5052 4508 5227

BARS4-# 5 4-# 6 4-# 7 4-# 8 4-# 9 4-#10 4-#11 8-# 5 8-# 6 8-# 7 8-# 8

BARS4-# 8 4-# 9 4-#10 4-#11 4-#14 4-#18 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 8-#11 8-#14 12-#10 12-#11

1M1.24 1.76 2.40 3.16 4.00 5.08 6.24 2.48 3.52 4.80 6.32 406 416 427 440 454 471 483 422 438 457 479

1P418 433 452 475 500 532 567 455 486 524 569

1M660 685 715 749 782 821 834 692 730 775 826

1P265 273 283 295 307 322 330 287 304 330 357

1M666 694 728 765 803 848 861 706 750 801 857

1P222 226 232 238 245 253 252 239 250 264 279

1M654 687 725 768 812 864 878 701 751 810 875

1P187 188 189 191 191 192 183 196 200 205 210

1M621 663 712 767 824 891 910 682 746 821 905

1P134 128 121 111 100 85 59 126 116 103 87

1M485 543 613 692 776 878 904 596 683 783 894

1P80 80 80 80 80 80 80 80 80 80 80

1M1.23 1.56 1.98 2.44 3.52 6.25 1.38 1.88 2.47 3.13 3.97 4.88 7.03 5.95 7.31 1696 1730 1772 1809 1908 2134 1685 1728 1778 1832 1900 1960 2120 2080 2170

1P1069 1094 1126 1161 1243 1452 1080 1118 1163 1213 1278 1347 1511 1429 1533

1M2740 2826 2934 3037 3289 3883 2686 2788 2906 3033 3194 3344 3721 3508 3715

1P733 746 762 774 819 935 748 769 795 823 861 893 988 971 1027

1M2854 2959 3092 3211 3525 4269 2794 2919 3066 3225 3425 3605 4079 3826 4078

1P618 626 638 645 676 757 633 649 669 690 719 742 815 788 825

1M2879 3005 3166 3305 3685 4547 2809 2960 3137 3329 3572 3786 4360 4059 4361

1P527 532 538 540 557 596 539 549 560 573 590 602 644 630 648

1M2852 3023 3238 3396 3868 4933 2759 2964 3204 3464 3789 4033 4747 4469 4821

1P392 388 383 368 349 290 397 393 389 383 376 355 323 369 341

1M2097 2282 2515 2732 3286 4595 2141 2387 2666 2960 3324 3642 4459 4139 4562

1P205 205 205 205 205 205 205 205 205 205 205 205 205 205 205

2 2 SQUARE TIED COLUMNS 122 + 1224-# 6 4-# 7 4-# 8 4-# 9 4-#10 4-#11 4-#14 8-# 5 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 1.22 1.67 2.19 2.78 3.53 4.33 6.25 1.72 2.44 3.33 4.39 5.56 7.06 707 724 743 763 788 806 862 715 737 764 797 831 872 601 620 642 668 700 734 816 622 653 691 737 787 851 1148 1190 1240 1292 1357 1411 1556 1156 1209 1273 1346 1425 1523 395 404 416 429 447 461 507 411 428 449 474 503 539 1176 1228 1289 1354 1436 1479 1634 1188 1254 1334 1426 1524 1647 332 339 347 356 368 372 395 346 359 375 394 415 442 1173 1233 1302 1374 1463 1511 1690 1190 1269 1361 1465 1575 1709 283 286 289 292 296 292 296 293 300 308 317 326 337 1129 1206 1294 1386 1499 1561 1791 1153 1252 1369 1502 1642 1814 206 200 194 186 175 155 121 206 199 191 180 166 148 853 948 1058 1176 1322 1447 1776 937 1063 1209 1373 1544 1754 115 115 115 115 115 115 115 115 115 115 115 115 115 488 629 789 958 1166 1358 1820 655 880 1144 1443 1686 1973

2 2 SQUARE TIED COLUMNS 182 + 1824-# 9 4-#10 4-#11 4-#14 4-#18 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 8-#11 8-#14 12-#10 12-#11 16-#10 1.23 1.57 1.93 2.78 4.94 1.09 1.48 1.95 2.47 3.14 3.85 5.56 4.70 5.78 6.27 2425 2476 2522 2642 2926 2370 2421 2481 2547 2629 2703 2897 2841 2957 3010 1353 1385 1420 1502 1710 1339 1377 1422 1472 1536 1606 1770 1688 1791 1839 3905 4035 4163 4470 5200 3736 3857 3997 4150 4342 4529 4986 4716 4973 5127 941 957 968 1012 1126 945 966 992 1020 1057 1089 1185 1169 1226 1269 4091 4250 4396 4777 5688 3892 4041 4215 4404 4643 4865 5438 5120 5431 5638 793 804 810 840 920 801 817 837 859 887 911 984 958 996 1041 4141 4332 4503 4962 6065 3906 4085 4295 4523 4812 5075 5769 5392 5763 6016 677 683 684 701 746 686 696 707 720 737 749 792 780 799 834 4121 4380 4610 5222 6602 3806 4047 4331 4641 5033 5389 6313 5844 6352 6656 503 498 489 476 430 515 511 506 501 495 483 463 492 477 477 3021 3298 3561 4227 5822 2867 3166 3506 3866 4312 4713 5728 5336 5877 6330 259 259 259 259 259 259 259 259 259 259 259 259 259 259 259 1673 2066 2464 3396 5598 1506 1990 2550 3151 3905 4645 6340 5450 6341 6948

2 2 SQUARE TIED COLUMNS 142 + 1424-# 7 4-# 8 4-# 9 4-#10 4-#11 4-#14 8-# 5 8-# 6 8-# 7 8-# 8 8-# 9 8-#10 8-#11 1.22 1.61 2.04 2.59 3.18 4.59 1.27 1.80 2.45 3.22 4.08 5.18 6.37 1130 1155 1182 1216 1244 1319 1118 1147 1181 1222 1265 1320 1373 818 841 866 898 932 1014 820 851 889 935 985 1049 1118 1830 1895 1964 2050 2128 2327 1784 1853 1935 2031 2133 2262 2377 551 562 575 592 605 651 559 576 597 623 651 688 721 1892 1971 2057 2164 2254 2503 1840 1924 2026 2146 2274 2436 2574 464 472 481 492 501 532 473 486 502 521 543 571 594 1899 1995 2097 2227 2324 2598 1838 1940 2063 2207 2363 2559 2710 396 400 405 411 412 423 403 411 420 431 444 460 468 1861 1983 2113 2274 2383 2732 1786 1920 2080 2265 2461 2705 2875 292 287 281 273 257 231 298 294 288 280 271 258 231 1380 1521 1672 1862 2033 2475 1377 1544 1739 1960 2191 2476 2713 157 157 157 157 157 157 157 157 157 157 157 157 157 776 980 1197 1467 1728 2347 804 1090 1428 1814 2224 2695 3025

2 2 SQUARE TIED COLUMNS 202 + 2024-# 9 4-#10 4-#11 4-#14 4-#18 8-# 7 8-# 8 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 16-#10 16-#11 1.00 1.27 1.56 2.25 4.00 1.20 1.58 2.00 2.54 3.12 4.50 8.00 3.81 4.68 6.75 5.08 6.24 3286 3346 3400 3543 3881 3280 3350 3427 3523 3612 3841 4392 3767 3905 4256 3964 4138 1642 1675 1709 1791 2000 1666 1711 1762 1826 1895 2059 2477 1977 2081 2328 2129 2267 5228 5379 5534 5896 6763 5169 5332 5509 5734 5958 6495 7786 6168 6476 7225 6645 7044 1161 1177 1186 1229 1342 1188 1213 1241 1278 1310 1406 1651 1392 1448 1604 1493 1571 5479 5664 5839 6285 7364 5419 5620 5840 6118 6382 7054 8677 6671 7041 7984 7272 7757 980 991 996 1026 1104 1006 1026 1048 1076 1099 1173 1360 1149 1187 1298 1234 1290 5532 5754 5957 6496 7799 5466 5708 5972 6308 6620 7433 9400 6980 7422 8564 7704 8285 841 846 846 862 906 5457 5758 6030 6760 8520 634 628 619 607 578 642 638 633 628 615 600 558 627 612 594 614 595 3906 4227 4536 5313 7194 4091 4493 4921 5452 5941 7160 9987 6698 7364 9049 7819 8746 320 320 320 320 320 320 320 320 320 320 320 320 320 320 320 320 320 1909 2364 2830 3918 6514 2269 2915 3612 4488 5362 7433 11547 6435 7503 10085 8159 9584

861 5370 872 5699 885 6056 902 6512 914 6932 958 8036 1070 10693 947 967 1032 1003 1034 7452 8053 9618 8393 9175

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-9

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 222 + 222 fc = 8,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M2661 3194 4439 7428

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 282 + 282 fc = 8,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M5993 10160 5441 6803 8208 11531 19556 9995 12038 16869 27127 13095 15530 21332 15853 18919 25949 22189

BARS4-#10 4-#11 4-#14 4-#18 8-# 8 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 16-#10 16-#11 20-#10

BARS4-#14 4-#18 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 20-#10 20-#11 20-#14 24-#11

1M1.05 1.29 1.86 3.31 1.31 1.65 2.10 2.58 3.72 6.61 3.15 3.87 5.58 4.20 5.16 5.25 4399 4463 4628 5023 4403 4490 4601 4705 4971 5612 4878 5037 5442 5104 5306 5366

1P1994 2029 2111 2320 2031 2081 2146 2215 2379 2796 2297 2401 2647 2448 2587 2600

1M6993 7175 7592 8597 6935 7138 7394 7657 8275 9769 7889 8248 9111 8432 8898 8969

1P1421 1430 1471 1582 1459 1487 1524 1554 1650 1897 1638 1694 1851 1741 1819 1855

1M7363 7566 8080 9327 7311 7560 7878 8184 8955 10830 8507 8937 10021 9191 9755 9877

1P1199 1204 1232 1310 1236 1257 1286 1308 1382 1571

1M7461 7696 8313 9818 7406 7706 8089 8450 9382 11652

1P

1M

1P773 762 750 722 784 780 774 762 748 710 775 762 745 764 746 765

1M5318 5673 6563 8728 5643 6140 6759 7337 8768 12101 8152 9033 11022 9457 10556 10766

1P387 387 387 387

1M1.15 2.04 1.02 1.30 1.59 2.30 4.08 1.94 2.39 3.44 6.12 2.59 3.18 4.59 3.24 3.98 5.74 4.78 9173 9745 8965 9121 9271 9649 10569 9497 9724 10292 11679 9812 10101 10826 10176 10537 11445 10967

1P

1M

1P2347 2453 2372 2408 2436 2531 2776 2525 2579 2736 3138 2630 2707 2920 2730 2830 3098 2967

1M15457 17211 14715 15150 15585 16655 19287 16009 16620 18127 21828 16944 17745 19727 17880 18873 21330 20015

1P1979 2052

1M15758 17866

1P

1M

1P1268 1237 1305 1300 1287 1274 1242 1305 1292 1279 1247 1298 1282 1264 1303 1287 1269 1292

1M11445 14471 10916 11801 12678 14769 19704 13581 14860 17944 24921 15456 17060 20916 17372 19298 23933 21467

1P627 627 627 627 627 627 627 627 627 627 627 627 627 627 627 627 627 627

1028 7402 1027 7716 1043 8552 1085 10593 1055 7332 1068 7738 1086 8256 1097 8742 1141 10006 1255 13088 1131 9326 1152 10021 1219 11817 1189 10397 1221 11303 1235 11531

3254 14563 3462 15987 3224 3288 3357 3522 3939 3439 3543 3790 4415 13897 14252 14633 15497 17607 14927 15446 16653 19603

1693 15793 1732 18644 1727 1744 1754 1799 1915 1793 1813 1883 2061 14653 15358 16036 17781 22090 16815 17792 20279 26405

387 3279 387 4071 387 5069 387 6076 387 8463 387 13768 387 387 387 387 387 387 7396 8711 11712 9354 11054 11365

2003 14901 2028 15423 2046 15930 2134 17220 2324 20398 2117 16466 2155 17187 2268 19007 2559 23485 2194 17592 2248 18543 2424 20935 2283 18723 2357 19906 2558 22872 2448 21299

1360 8853 1398 9365 1510 10676 1446 9678 1503 10351 1520 10506

3591 15670 3729 16340 4058 17924 3742 16406 3915 17235 4326 19205 4101 18076

1854 18278 1887 19554 1988 22784 1903 19827 1946 21419 2072 25436 2020 23308

2 2 SQUARE TIED COLUMNS 242 + 2424-#11 4-#14 4-#18 8-# 8 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 16-#10 16-#11 16-#14 20-#10 20-#11 1.08 1.56 2.78 1.10 1.39 1.76 2.17 3.13 5.56 2.65 3.25 4.69 3.53 4.33 6.25 4.41 5.42 5728 5917 6369 5657 5756 5882 6000 6303 7036 6191 6373 6831 6447 6677 7261 6742 7029 2379 9112 2462 9584 2670 10728 2382 8833 2432 9062 2496 9350 2565 9651 2730 10351 3147 12050 2647 9905 2751 10317 2998 11294 2799 10515 2937 11048 3266 12330 2950 11132 3123 11768 1697 1738 1848 1729 1757 1794 1824 1919 2166 1909 1965 2122 2013 2091 2303 2114 2230 9608 10187 11603 9314 9594 9951 10300 11171 13297 10657 11147 12371 11424 12067 13675 12193 12989 1432 9748 1460 10444 1536 12150 1467 9417 1488 9753 1516 10182 1538 10592 1612 11644 1802 14217 1592 11040 1630 11621 1743 13102 1679 11965 1736 12731 1895 14674 1754 1827 12894 13845 1226 9695 1241 10637 1282 12948 1257 1270 1287 1298 1343 1458 9259 9714 10294 10844 12269 15760 921 908 879 945 941 935 923 909 874 938 924 910 928 911 889 931 913 6987 7990 10442 6971 7539 8246 8917 10563 14418 9773 10791 13199 11256 12532 15627 12760 14284 461 461 461 3557 4958 8340

461 3642 461 4529 461 5648 461 6789 461 9490 461 15928 461 461 461 461 461 461 461 461 8266 9908 13396 10575 12518 17176 12915 15200

2 2 SQUARE TIED COLUMNS 302 + 3024-#14 4-#18 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 24-#11 1.00 1.78 1.13 1.39 2.00 3.56 1.69 2.08 3.00 5.33 2.26 2.77 4.00 7.11 2.82 3.47 5.00 4.16 11177 11810 11116 11282 11698 12714 11526 11776 12400 13926 11871 12189 12986 14935 12270 12668 13666 13137 3695 17600 3904 19167 3730 3799 3963 4381 3881 3985 4232 4857 4033 4171 4500 5334 17250 17671 18619 20936 17985 18558 19882 23121 18794 19534 21271 25524 2688 2792 2752 2779 2873 3118 2869 2922 3079 3482 2975 3051 3264 3809 3074 3174 3442 3312 18676 20598 18333 18811 19981 22865 19268 19940 21588 25647 20286 21168 23336 28671 21307 22399 25088 23633 2270 2341 18999 21307 1947 18918 1985 22038 2000 2009 2054 2171 18438 19179 21085 25801 1470 1438 1504 1491 1478 1447 1510 1497 1485 1455 1504 1488 1471 1426 1510 1494 1479 1500 13504 16819 13899 14869 17176 22636 15812 17217 20599 28473 17888 19659 23901 34074 20014 22150 27260 24534 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 6510 11069 7378 8915 12548 21363 10854 13098 18399 30067 14256 17080 23461 38765 17348 20724 28740 24449

1334 11493 1354 12282 1423 14309 1393 12695 1426 13724 1524 16352 1440 13967 1482 15250

2322 18627 2339 19183 2405 20592 2617 24073 2412 19763 2448 20554 2562 22543 2854 27451 2489 20989 2543 22033 2697 24649 3129 31096 2579 22222 2652 23520 2854 26765 2743 25041

2050 20024 2070 21094 2140 23811 2319 30523 2112 2144 2247 2506 21618 23016 26548 35259

2 2 SQUARE TIED COLUMNS 262 + 2624-#14 4-#18 8-# 9 8-#10 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 20-#10 20-#11 1.33 2.37 1.18 1.50 1.85 2.66 4.73 2.25 2.77 3.99 7.10 3.01 3.69 5.33 3.76 4.62 7426 7937 7241 7382 7516 7857 8682 7725 7929 8442 9691 8010 8269 8924 8339 8663 2842 11899 3051 13183 2813 2877 2946 3110 3528 3028 3132 3379 4004 11306 11628 11968 12750 14654 12243 12707 13799 16460 2030 2138 2052 2089 2117 2213 2459 2205 2259 2417 2818 2309 2387 2599 2410 2511 12637 14222 11970 12366 12757 13728 16107 13148 13698 15064 18407 13999 14721 16516 14852 15746 1709 1783 1730 1756 1789 1863 2053 12916 14823 12142 12618 13076 14247 17123 1458 13042 1498 15623 1489 1507 1517 1562 1678 1555 1575 1644 1819 12010 12653 13266 14852 18752 13980 14864 17120 22660 1081 1051 1116 1110 1098 1084 1051 1114 1101 1088 1051 1106 1090 1070 1110 1093 9612 12351 9130 9928 10693 12561 16948 11573 12727 15514 21627 13250 14689 18162 14957 16681 541 541 541 541 541 541 541 541 541 541 541 541 541 541 541 541 5476 9251 4985 6226 7499 10513 17745 9132 10975 15136 24263 11822 14009 19237 14376 17132

4184 19590 4357 20503 4768 22657 4543 21420

2162 23305 2205 25051 2332 29444 2279 27112

1844 13568 1882 14219 1995 15869 2284 19917 1920 14593 1989 15452 2149 17620 2009 15623 2082 16690

3180 12919 3318 13520 3647 14953 3331 13595 3504 14342

1615 15313 1647 16465 1748 19395 1663 16723 1705 18161

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-10

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 322 + 322 fc = 8,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M11976 9622 13563 23166 11712 14156 19925 33084 15402 18582 25626 42381 18859 22547 31318 26681 36700

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 362 + 362 fc = 8,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M13788 15588 26763 13422 16259 22966 39263 17686 21396 30062 49721 21883 26251 36488 60637 30957 43173

BARS4-#18 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 24-#11 24-#14

BARS4-#18 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14

1M1.56 1.22 1.76 3.13 1.49 1.83 2.64 4.69 1.98 2.44 3.52 6.25 2.48 3.05 4.39 3.66 5.27 14152 13567 14023 15135 13829 14103 14784 16450 14205 14554 15423 17551 14639 15075 16163 15583 16883

1P

1M

1P3156 3146 3240 3485 3238 3290 3447 3851 3344 3420 3633 4179 3444 3542 3811 3681 4010

1M24413 22463 23734 26871 22954 23686 25476 29894 24055 25017 27372 33180 25160 26351 29272 27678 31175

1P2652

1M25175

1P

1M

1P1654 1709 1696 1666 1730 1716 1705 1678 1724 1709 1693 1651 1731 1716 1702 1723 1712

1M19410 17302 19828 25818 18282 19814 23493 32296 20562 22501 27134 38260 22842 25252 30843 27798 34438

1P819 819 819 819 819 819 819 819 819 819 819 819 819 819 819 819 819

1M1.23 1.39 2.47 1.18 1.44 2.08 3.70 1.57 1.93 2.78 4.94 1.96 2.41 3.47 6.17 2.89 4.17 19733 19569 20877 19334 19655 20450 22401 19770 20180 21196 23688 20275 20787 22059 25183 21375 22892

1P

1M

1P3959 4048 4291 4050 4101 4257 4660 4157 4231 4445 4991 4256 4353 4621 5306 4493 4822

1M33436 32631 36276 31716 32571 34645 39781 32985 34107 36837 43594 34249 35647 39035 47417 37159 41204

1P3337 3408 3580

1M34307 33383 37771

1P

1M

1P2129 2176 2146 2200 2198 2188 2164 2208 2192 2178 2143 2216 2201 2190 2160 2210 2202

1M25385 25923 32993 24004 25789 30066 40480 26698 28975 34399 47460 29281 32141 38835 54432 35123 43042

1P1037 1037 1037 1037 1037 1037 1037 1037 1037 1037 1037 1037 1037 1037 1037 1037 1037

4376 22749 4271 21109 4436 22141 4853 24666 4353 4457 4704 5329 4505 4643 4972 5806 21442 22071 23510 27041 22318 23129 25017 29654

2255 25833 2283 22723 2328 24789 2445 29913 2325 2344 2415 2596 2388 2420 2523 2785 23635 24797 27745 35042 25359 26880 30712 40189

5412 31220 5471 30490 5889 33435 5389 5493 5740 6365 5541 5679 6008 6842 5692 5865 6276 7319 29658 30399 32073 36190 30662 31621 33816 39221 31641 32808 35519 42215

2852 34731 2929 33507 3046 39445 2930 2948 3019 3201 2993 3025 3129 3395 3045 3087 3218 3550 32106 33515 36922 45389 34154 35919 40352 51358 36256 38463 43984 57677

2653 22863 2719 24390 2892 28174 2727 2763 2877 3169 2805 2858 3013 3409 23487 24347 26506 31845 24814 25951 28790 35806

3420 32330 3454 33330 3568 35828 3862 42027 3499 33859 3551 35181 3707 38468 4105 46621 3589 35395 3662 37041 3866 41123 4386 51238 3752 38944 3996 43838

4656 23173 4829 24170 5240 26509 5015 25163 5508 27925

2895 26148 2968 27562 3171 31086 3058 29210 3302 33433

2438 27184 2481 29085 2610 33854 2557 31318 2718 37035

6051 33953 6544 37153

3165 41041 3329 47661

2 2 SQUARE TIED COLUMNS 342 + 3424-#18 8-#11 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 24-#11 24-#14 1.38 1.08 1.56 2.77 1.32 1.62 2.34 4.15 1.76 2.16 3.11 5.54 2.20 2.70 3.89 3.24 4.67 16786 16146 16640 17850 16426 16723 17461 19269 16832 17211 18153 20463 17301 17775 18955 18323 19731 4879 26758 4774 24974 4938 26089 5355 28824 4856 4960 5206 5832 5007 5146 5475 6309 25324 26009 27566 31389 26266 27149 29190 34211 3545 3538 3632 3875 3632 3683 3840 4243 3738 3813 4027 4573 3838 3935 4204 4075 4404 28683 26570 27941 31332 27093 27887 29819 34595 28279 29320 31863 38145 29466 30757 33912 32177 35948 2984 29499 2987 26998 3053 28645 3225 32731 3063 3098 3212 3505 3141 3194 3349 3747 27666 28597 30925 36694 29094 30324 33387 40972 2545 30055 2575 26696 2619 28921 2736 34451 2618 2637 2708 2889 27674 28928 32106 39988 1884 1942 1929 1899 1964 1950 1939 1914 1959 1943 1929 1890 1967 1951 1939 1960 1950 22260 19991 22738 29265 21007 22666 26644 36307 23494 25601 30628 42717 25926 28579 34697 31322 38646 925 925 925 925 925 925 925 925 925 925 925 925 925 925 925 925 925 12882 10327 14576 24966 12568 15208 21447 36178 16545 19991 27826 46027 20389 24390 33892 28813 39908 4-#18 8-#14 8-#18 12-#10 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 1.11 1.25 2.22 1.06 1.30 1.87 3.32 1.41 1.73 2.49 4.43 1.76 2.16 3.12 5.54 2.59 3.74 23009 22828 24234 22570 22916 23769 25864 23038 23479 24568 27245 23578 24129 25494 28849 24757 26384

2 2 SQUARE TIED COLUMNS 382 + 3825975 36161 6035 35369 6452 38526 5953 6056 6303 6929 6104 6242 6571 7405 6255 6428 6839 7882 34468 35267 37059 41471 35535 36566 38920 44712 36577 37831 40728 47892 4398 4489 4730 4493 4543 4699 5101 4599 4673 4887 5434 4699 4795 5063 5748 4935 5264 38700 37833 41731 36849 37766 39982 45478 38202 39404 42322 49554 39544 41041 44669 53641 42652 46971 3711 39627 3179 39889 3258 38576 3374 44920 3260 3277 3348 3531 37079 38503 42220 51272 2388 2438 2408 2463 2446 2451 2428 2471 2456 2442 2409 2480 2465 2456 2429 2460 2469 28797 29397 37016 27287 29198 33775 44942 30191 32638 38462 52503 32924 35991 43272 60071 39214 47712 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 14692 16599 28557 14276 17309 24482 41966 18825 22798 32188 53461 23308 28133 39108 65531 33113 46322 3785 38634 3956 43325 3798 37507 3832 38577 3945 41243 4239 47873 3877 39136 3929 40551 4084 44062 4484 52784 3967 40774 4040 42535 4245 46896 4766 57720 4130 44565 4374 49795

2681 29529 2713 31172 2817 35305 3081 45546 2732 31492 2775 33546 2905 38691 2852 35952 3015 42121

3324 39262 3355 41148 3459 45882 3726 57652 3376 3418 3549 3883 41502 43863 49758 64406

5159 27182 5332 28263 5743 30788 5517 29332 6011 32313

3232 30530 3305 32059 3508 35862 3395 33835 3639 38393

6614 39052 7108 42472

3496 46532 3661 53685

(1) 0% fy indicates zero tension in bars on the tension side, 50% fy indicates 50% fy stress in bars on the tension side, and 100% fy indicates 100% fy stress (i.e., balance point) in bars on the tension side.

CONCRETE REINFORCING STEEL INSTITUTE

Return To Column Criteria

CD/3-11

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 402 + 402 fc = 8,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M15595 17608 30349 18357 25996 44663 19962 24198 34211 57250 24731 29948 41751 70226 35283 49380

Short columns no sidesway

2 2 SQUARE TIED COLUMNS 442 + 442 fc = 8,000 psi fy = 60,000 psi U Bars symmetrical in 4 faces 1M in inch-kips 1P in kipsMax Cap 0% fy 25% fy 50% fy 100% fy RHO .1fc Ag U Zero Axial Load 1M33923 29016 50042 22227 26991 38245 64971 27568 33443 47109 79283 39663 55543 93482

BARS4-#18 8-#14 8-#18 12-#11 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14

BARS8-#18 12-#14 12-#18 16-#10 16-#11 16-#14 16-#18 20-#10 20-#11 20-#14 20-#18 24-#11 24-#14 24-#18

1M1.00 1.13 2.00 1.17 1.69 3.00 1.27 1.56 2.25 4.00 1.59 1.95 2.81 5.00 2.34 3.38 26634 26434 27940 26525 27436 29675 26654 27126 28289 31152 27229 27819 29277 32864 28487 30224

1P

1M

1P4861 4955 5195 5009 5165 5567 5067 5140 5353 5901 5167 5262 5529 6214 5402 5731

1M44505 43574 47727 43500 45859 51714 43958 45241 48347 56054 45377 46973 50832 60406 48684 53278

1P4106 4182 4352

1M45489 44426 49419

1P

1M

1P2663 2714 2684 2723 2707 2706 2749 2733 2721 2689 2759 2744 2735 2711 2739 2727

1M32494 33176 41349 32911 37788 49709 33987 36607 42832 57860 36871 40145 47972 66189 43612 52693

1P1280 1280 1280 1280 1280 1280 1280 1280 1280 1280 1280 1280 1280 1280 1280 1280

1M1.65 1.39 2.48 1.05 1.29 1.86 3.31 1.31 1.61 2.32 4.13 1.93 2.79 4.96 36469 35886 38418 35001 35535 36849 40085 35648 36317 37961 42018

1P

1M

1P6198 6171 6572 6076 6147 6359 6906 6177 6270 6536 7219 6411 6739 7578

1M61450 59344 65920 57200 58647 62129 70787 58774 60568 64888 75645 62480 67623 80430

1P5208

1M63345

1P

1M

1P3280 3305 3267 3349 3332 3320 3292 3359 3344 3336 3317 3340 3330 3304

1M51004 46786 60219 42555 45520 52555 69578 45737 49427 58236 79166 53389 63643 88479

1P1549 1549 1549 1549 1549 1549 1549 1549 1549 1549 1549 1549 1549 1549

6569 41609 6629 40752 7046 44122 6651 40639 6897 42550 7523 47257 6698 6836 7165 7999 6850 7022 7433 8476 40911 42015 44522 50707 42017 43357 46442 54075

3523 45555 3604 44154 3720 50903 3625 44076 3695 47905 3879 57663 3672 3703 3807 4075 3724 3766 3898 4234 44879 46886 51920 64454 47258 49771 56042 71644

8326 56934 8177 55148 8802 60449 7978 8116 8445 9279 8129 8302 8713 9756 53276 54527 57340 64306 54510 56026 59486 68061

4467 64503 4445 61140 4628 71839 4424 4454 4558 4828 4477 4518 4650 4989 57751 59999 65633 79693 60407 63224 70245 87755

5202 60851 5495 68771 5139 58330 5188 60022 5343 64206 5744 74633 5228 60272 5298 62380 5503 67578 6028 80527 5389 64761 5634 70998 6259 86553

4230 44364 4343 47200 4637 54259 4277 44955 4327 46462 4483 50198 4883 59488 4367 46694 4438 48571 4643 53211 5167 64743 4529 50718 4773 56292

37066 8488 57475 39025 8981 61559 43855 10232 71687

4595 66395 4762 74780 5188 95680

7208 44654 7702 48296

3844 52607 4010 60094

2 2 SQUARE TIED COLUMNS 462 + 4628-#18 1.51 1.28 2.27 1.18 1.70 3.02 1.20 1.47 2.13 3.78 1.77 2.55 4.54 41329 40706 43386 40335 41723 45149 9011 64202 8862 62307 9488 67907 8801 61643 9130 64610 9964 71961 61614 63220 66869 75917 6736 6711 7111 6687 6899 7445 6719 6811 7076 7759 6952 7280 8