HSS
Hollow
Structural
Sections
LRFD COLUMN LOAD TABLES
HSS:
TECHNICAL
BROCHURE
©2013 Steel Tube Institute
2516 Waukegan Road, Suite 172
Glenview, IL 60025
TEL: 847.461.1701
FAX: 847.660.7981
HSS Manufacturing
Methods
The transformation of steel strip into hollow structural sections (HSS)
is the result of a series of operations including forming, welding and
sizing. Currently three methods are being used in North America for the
manufacture of HSS. These methods are described below. Each method
meets ASTM A-500 and CSA G-40.21 requirements for the the manufacture
of HSS, and the sizes listed in this brochure may be produced to either
standard.
Electric Resistance Welding (ERW) Process
In the tube mill, flat steel strip (1) is formed
continuously around its longitudinal axis to
produce a round tube. This is done by moving
the strip through a progressive set of rolls (2-6).
The strip edges (7) are heated by either high
frequency induction or contact welding and
then forged together by weld rolls to create
a continuous longitudinal weld without the
addition of filler metal. The weld seam (8) is then
cooled and processed through a set of sizing
shaping rolls which cold-form it into a round (9),
square (10) or rectangular (11) section.
Form-Square Weld-Square (ERW) Process
In the tube mill, flat steel strip (1) is formed
continuously around its longitudinal axis to
produce a round tube. This is done by moving
the strip through a progressive set of rolls (2-6).
The strip edges (7) are heated by either high
frequency induction or contact welding and
then forged together by weld rolls to create
a continuous longitudinal weld without the
addition of filler metal. The weld seam (8) is then
cooled and processed through a set of sizing
shaping rolls which cold-form it into a round (9),
square (10) or rectangular (11) section.
Submerged Arc Weld (SAW) Process
In the tube mill, flat steel strip (1) is formed
continuously around its longitudinal axis to
produce a round tube. This is done by moving
the strip through a progressive set of rolls (2-6).
The strip edges (7) are heated by either high
frequency induction or contact welding and
then forged together by weld rolls to create
a continuous longitudinal weld without the
addition of filler metal. The weld seam (8) is then
cooled and processed through a set of sizing
shaping rolls which cold-form it into a round (9),
square (10) or rectangular (11) section.
2
TITLE IF NECESSARY
Foreword
Note: The information presented in this publication
has been prepared in accordance with recognized
engineering principles and is for general information
only. While it is believed to be accurate, this
information should not be used or relied upon for any
specific application without competent professional
examination and verification of its accuracy,
suitability, and applicability by a licensed professional
engineer, designer, or architect. The publication of
the material contained herein is not intended as a
representation or warranty on the part of The Steel
Tube Institute of North America or of any other person
named herein, that this information is suitable for
any general or particular use or of freedom from
infringement of any patent or patents. Anyone making
use of this information assumes all liability arising
from such use.
Caution must be exercised when relying upon other
specifications and codes developed by other bodies
and incorporated by reference herein since such
material may be modified or amended from time to
time subsequent to the printing of this edition. The
Institute bears no responsibility for such material other
than to refer to it and incorporate it by reference at the
time of the initial publication of this edition.
Load and Resistance Factor Design (LRFD) column load tables are presented for square, rectangular
and round hollow structural sections (HSS) manufactured by the electric resistance welding (ERW)
method and for square, and rectangular HSS manufactured by the submerged arc welding (SAW)
method. Tables of design stresses for compression members for six minimum specified yield stress
steels from Fy = 42 ksi to Fy = 70 ksi are also included.
The tabulated design strength loads and the compression member design stresses have been
calculated in accordance with the AISC 2010 Specification for Structural Steel Buildings..
Revised section property data for HSS is published in “Hollow Structural Sections - Dimensions and
Section Properties” available from the Steel Tube Institute of North America.
Tables for square and rectangular HSS are presented for Fy = 46 ksi and for Fy = 50 ksi. Separate
tables are used for HSS sizes produced by the ERW and SAW manufacturing methods.
Tables for round HSS are presented for Fy = 42 ksi, Fy = 46 ksi and for Fy = 50 ksi. The round HSS are
produced by the ERW manufacturing method.
The design strength loads have been calculated for effective lengths, KL, with respect to the least
radius of gyration, r or ry, varying from 0 to 40 feet. A HSS defined as a “slender element cross
section”, in accordance with Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.,
is identified in the tables with an asterisk (*) immediately following the design wall thickness
parameter in the heading.
The tabulated values of compression member design stresses are calculated in accordance with the
requirements of AISC Chapter E of the AISC 2010 “Specification” Note that these design stresses do
not apply to a HSS defined as a “slender element cross section”.
Refer to part 4, Design of Compression Members, of the AISC 14th Edition “Steel Construction
Manual ” for a discussion of the design strength of columns. The symbols in these tables follow
those used in the AISC “Manual”.
3
Table of Contents
5 How to Use the Column Load Tables
Column Load Tables
6 Square HSS (ERW) Fy = 46 ksi
10 Square HSS (ERW) Fy = 50 ksi
22 Round HSS (ERW) Fy = 42 ksi
34 Round HSS (ERW) Fy = 46 ksi
46 Round HSS (ERW) Fy = 50 ksi
58 Rectangular HSS (ERW) Fy = 46 ksi
82 Rectangular HSS (ERW) Fy = 50 ksi
108 Square HSS (SAW) Fy = 46 ksi
110 Square HSS (SAW) Fy = 50 ksi
112 Rectangular HSS (SAW) Fy = 46 ksi
115 Rectangular HSS (SAW) Fy = 50 ksi
Design Stress Tables
118 Fy = 42 ksi
119 Fy = 46 ksi
120 Fy = 50 ksi
121 Fy = 60 ksi
122 Fy = 65 ksi
123 Fy = 70 ksi
4
HOW TO USE COLUMN TABLE LOADS
Example 1:
Example 3:
Design the lightest 6-inch square ERW HSS column of Fy = 46 ksi (ASTM
A500 Gr. B) to support a factored concentric load of 148 kips.
Design the lightest 8-inch by 4-inch rectangular ERW HSS column of Fy
= 50 ksi (ASTM A500 Gr. C) to support a factored concentric load of 170
kips.
The largest effective length, KL, is 16 feet.
Enter the Fy = 46 ksi table for the 6-inch square ERW HSS.
The effective length, KL, with respect to the minor axis is 14 feet. The
effective length, KL, with respect to the major axis is 26 feet.
Read across the row at KL = 16 ft. and note the following:
Enter the Fy = 50 ksi table for the 8-inch x 4-inch rectangular
6 x 6 x 5/8 is good for 286 kips > 148 kips - O.K.
EWR HSS. Read across the row at KL = 14 ft. and note the following:
x 1/2 is good for 245 kips > 148 kips - O.K.
8 x 4 x 5/8 is good for 213 kips > 170 kips - O.K.
x 3/8 is good for 195 kips > 148 kips - O.K.
x 1/2 is good for 188 kips > 170 kips - O.K.
x 5/16 is good for 167 kips > 148 kips - O.K.
x 3/8 is good for 154 kips < 170 kips - not good
x 1/4 is good for 138 kips < 148 kips - not good
Tentatively select: 8 x 4 x 1/2
Select: 6 x 6 x 5/16 HSS (Weight = 23.3 lbs./ft.)
rx /ry = 1.74
Equivalent effective length for the major axis:
Example 2:
Design the lightest square ERW HSS column of Fy = 46 ksi (ASTM A500 Gr.
B) to support a factored concentric load of 145 kips.
26 / 1.74 = 14.9
Enter the same table, read across the row at KL = 14.9 and note the
following:
8 x 4 x 5/8 is good for 184 kips (interpolated) > 170 kips
rx /ry = 1.75 - O.K.
The largest effective length, KL, is 12 feet.
8 x 4 x 1/2 is good for 163 kips (interpolated) < 170 kips - not good
Enter the Fy = 46 ksi tables for square ERW HSS.
Select: 8 x 4 x 5/8 HSS (Weight = 42.3 lbs./ft.)
Read across the rows at KL = 12 ft. and note the following:
5 x 5 x 5/16 (19.1 lbs./ft.) is good for 148 kips > 145 kips - O.K.
5 1/2 x 5 1/2 x 1/4 (17.3 lbs./ft.) is good for 145 kips = 145 kips - O.K.
6 x 6 x 1/4 (19.0 lbs./ft.) is good for 168 kips > 145 kips - O.K.
7 x 7 x 3/16 (17.1 lbs./ft.) is good for 161 kips > 145 kips - O.K.
8 x 8 x 3/16 (19.6 lbs./ft.) is good for 179 kips > 145 kips - O.K.
Select: 7 x 7 x 3/16 HSS (Weight = 17.1 lbs./ft.)
1
5
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
16X16
Wall Thickness
Weight Per Foot
Design Wall Thickness
1/2 3/8 5/16
5/8 1/2
3/8
5/16
103.3 78.52 65.87
110 89.68 68.3157.36
0.465 0.349*0.291* 0.581 0.465 0.349* 0.291 *
5/8
1/2
3/8
5/16
1/4
93.3476.07 58.1 48.8639.43
0.581 0.465 0.3490.291*0.233*
1170
1170
1169
1167
1165
1160
1160
1150
1140
1140
1140
1130
1120
1120
1110
1100
1090
1080
1070
1060
1050
1040
1030
1020
1010
994
981
968
955
941
927
913
899
884
870
855
840
825
809
794
1060 865 662 526 359
1062 864 661 525 359
1060 862 660 525 359
1056 859 658 524 358
1052 856 655 522 357
1050 852 652 521 356
1040 847 648 519 355
1030 841 644 517 354
1030 835 640 515 353
1020 828 634 512 351
1010 820 629 509 350
997812 622505348
985803 616502346
973793 609498344
961783 601494342
947773 593489339
933761 584484337
918750 576479334
903738 567474331
887725 557468328
871712 547459325
854699 537451321
837685 527442318
819671 516434314
801656 505425310
783642 494416306
764627 483406301
745612 472397297
726597 460387292
707581 449378287
688566 437368282
669550 425358277
649535 413348272
630519 402338266
610503 390329260
591488 378319254
572472 366309248
552457 354299242
534442 343290235
515426 331280228
Effective Length KL (ft)
Nominal Size
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
782
781
781
780
779
779
777
776
774
772
769
767
764
761
758
755
751
747
743
739
735
730
725
720
714
709
703
697
691
684
677
670
663
656
647
640
631
623
614
606
14x14
572
572
572
571
571
570
569
568
567
566
564
563
561
559
557
555
553
551
549
546
543
540
537
534
531
528
524
520
517
513
509
504
500
495
491
486
481
476
470
465
28.3 21.5 18.1
1130 873 739
6.31 6.37 6.39
1250
1253
1251
1248
1244
1240
1230
1230
1220
1210
1210
1200
1190
1180
1170
1150
1140
1130
1110
1100
1090
1070
1050
1040
1020
1010
988
970
953
934
916
897
878
859
840
821
801
782
762
743
1020
1017
1015
1013
1010
1010
1000
998
992
986
980
972
965
956
947
938
928
918
907
896
884
872
859
846
833
820
806
792
777
763
748
733
718
702
687
671
656
640
625
609
748
747
747
745
744
743
741
738
736
733
729
726
722
718
713
708
703
697
691
683
674
665
656
646
636
626
616
605
594
583
572
561
550
538
527
515
503
492
480
468
12x12
551
550
550
549
548
547
546
545
543
541
539
537
535
532
529
526
523
520
516
513
509
505
500
496
491
486
481
476
470
464
458
452
446
439
432
425
418
411
403
395
30.3 24.6 18.7 15.7
897 743 577 490
5.44 5.49 5.55 5.58
25.7 20.9 16 13.4 10.8
548 457 357 304 248
4.62 4.68 4.73 4.76 4.79
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
6
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
Nominal Size
10x10
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
9x9
5/8
1/2
3/8
5/16
1/4
3/16 1/2
3/8
5/16 1/4
3/16
76.362.5 47.940.432.6 24.7 55.742.8 36.129.222.2
0.581 0.465 0.349 0.291 0.233*0.174* 0.465 0.349 0.2910.233*0.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
633489 411330201
869712 546460342 206 631487 409329201
867710 545458341 206 629485 408328200
864708 543457341 206 625482 406327200
860705 541455340 205 621479 403325199
855701 538452339 205 615475 399323198
849696 534449337 204 609470 395320197
841690 530446336 203 601465 391317196
833683 525442334 202 593458 386312195
823676 519437331 201 584452 380308193
813667 513432329 200 574444 374303192
802658 506426326 199 563436 367298190
789648 499420323 198 552428 360292188
776638 491414320 196 540419 353286186
762627 483407316 195 527409 345280184
748615 474399313 193 514399 337273181
732603 465392308 191 501389 328267178
716590 455384304 189 487379 320260176
700577 446375299 187 472368 311252173
682563 435367295 185 457357 301245170
665549 425358289 183 442345 292237166
647535 414349283 180 427334 283230163
628520 403340275 178 412322 273222159
610505 392330268 175 396311 263214155
591490 380321260 172 381299 253206151
572474 369311253 169 365287 244198147
552459 357301245 166 350275 234190142
533443 345292237 163 335264 224183138
514428 333282229 159 319252 214175133
495412 322272221 156 305241 205167128
475397 310262213 152 290229 195159122
456381 298252205 148 275218 186152116
437366 287243198 144 261208 177145111
419351 275233190 140 247197 168137105
400336 264223182 136 233186 159130100
382321 252214175 131 364307 241205167 127 220 176 150 123 94.5
347292 231196160 122 209 167 142 117 90
329278 220187153 117 198 158 135 111 84.9
313264 209178146 111 188 150 128 105 81
179 143 122 99.8 76.6
297251 199169138 106
21 17.2 13.211.1 8.96 6.76 15.3 11.8 9.92 8.03 6.06
304 256 202 172 141 108 183 145 124 102 78.2
3.8 3.86 3.923.94 3.97 4
3.45 3.51 3.54 3.56 3.59
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
7
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
Nominal Size
8x8
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
7x7
5/8
1/2
3/8
5/16
1/4
3/16 5/8
1/2
3/8
5/16
1/4
3/16
59.348.9 37.731.825.8 19.6 50.842.1 32.627.622.4 17.1
0.5810.465 0.3490.2910.2330.174* 0.5810.465 0.3490.2910.2330.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
679559 431363294 195 580480 371314255 187
676557 429361293 194 576478 369313254 186
672554 427359291 194 572474 367311253 185
667550 424357289 193 566470 363308250 184
661544 420354287 192 559464 359304247 183
653538 415350284 191 550457 354300244 181
644531 410346280 190 540448 348295240 179
633523 404340276 188 528439 341289235 177
622513 397335272 186 515429 333283230 174
609503 389329267 184 501417 325276225 170
596492 381322261 182 486405 316268219 166
581481 372315255 179 470393 306260212 161
565468 363307249 176 453379 296252206 156
549455 353299243 174 436365 286243199 151
532441 343290236 170 418350 275234191 146
514427 333282229 167 399336 264225184 140
496413 322273222 163 381320 252215176 134
478398 311263214 159 362305 241206169 128
459383 299254207 155 343290 229196161 123
440367 288244199 151 324274 217186153 117
421352 276234191 146 305259 206176145 111
402337 264225183 140 287244 194167137 105
383321 253215175 134 268229 183157130 99.1
364306 241205168 128 251214 172148122 93.4
345290 229195160 122 233200 161139115 87.8
326275 218186152 116 216186 150130107 82.4
308260 206176144 111 201173 140121100 77
290246 195167137 105 186 161 130 112 93.4 71.7
273231 184158129 99.3 174 150 121 105 87 66.8
256217 174149122 93.9 162 140 113 97.9 81.3 62.5
239204 163140115 89 152 131 106 92 76 58
225191 153131108 83.2 143 123 99.4 86 71.5 54.9
211180 144124101 78 134 116 94 81 67 52
199 169 136 116 95.6 73.7 126 109 88.1 76.2 63.3 48.6
188 160 128 110 90 70 119 103 83 72 60 46
177 151 121 104 85.3 65.7 113 97.1 78.6 68 56.5 43.4
168 143 115 98 81 62 107 92 74 64 53 41
159 136 109 93.2 76.5 59 101 87.2 70.5 61 50.7 38.9
151 129 103 89 73 56 9683 675848 37
144 122 98 84.1 69.1 53.2
91.478.7 63.655.145.8 35.1
16.4 13.5 10.4 8.76 7.1
146 125 100 85.6 70.7
2.99 3.04 3.1 3.13 3.15
5.37 14 11.6 8.977.59 6.17 4.67
54.4 93.4 80.5 65 56.1 46.5 36
3.18 2.58 2.63 2.69 2.72 2.75 2.77
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
8
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
Nominal Size
6x6
5/8
1/2
3/8
5/16
1/4
3/16
1/8
42.335.2 27.523.3 19 14.59.86
0.5810.465 0.3490.2910.233 0.1740.116*
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
484403 314266217 16589.6
480400 311264215 164 89
475396 309262214 162 89
469391 305259211 160 88
460384 300254208 158 88
450376 293249204 15586.8
438367 286244199 15185.8
425356 279237194 14884.6
410344 270230188 14383.3
394332 260222182 13981.8
378319 250214175 13480.1
360305 240205168 12978.3
342290 229196161 12376.2
324275 218187153 118 74
305260 206177146 11271.6
286245 195167138 10669.1
267230 183158130 10066.3
249215 172148122 94.263.4
231200 160138115 88.460.2
213185 149129107 82.756.7
196 171 138 120 99.4 77 52.9
179 157 127 111 92.1 71.5 49.2
163 144 117 102 85.1 66.2 45.6
150 132 107 93.5 78.1 60.9 42
138 122 98.9 86.1 72 56.1 38.7
128 112 91.4 79.6 66.6 51.9 35.8
119 104 84.8 73.8 61.7 48.1 33.2
11096.978.868.757.4 44.730.9
10390.473.5 64 53.5 41.728.8
9684.468.759.850 39 26.9
9079 645647 36 25
84.474.260.452.6 44 34.223.6
7970 574941 32 22
74.865.7 53.546.638.9 30.3 20.9
7162 504437 29 20
66.758.6 47.741.534.7 27.1 18.7
56453933 2618
42.837.3 31.2 24.3 16.8
30 23 16
11.7 9.74 7.58 6.43 5.24 3.98 2.7
55.2 48.3 39.534.3 28.6 22.315.5
2.17 2.23 2.282.31 2.34 2.372.39
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
9
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
16X16
Wall Thickness
Weight Per Foot
Design Wall Thickness
1/2
3/8
5/16
103.3 78.52 65.87
0.465 0.349* 0.291 *
5/8 1/2
3/8 5/16
110 89.68 68.3157.36
0.581 0.465 0.349* 0.291 *
5/8
1/2
3/8
5/16 1/4
93.3476.07 58.1 48.8639.43
0.581 0.465 0.3490.291*0.233*
1274
1272
1270
1268
1265
1261
1257
1252
1247
1240
1233
1226
1218
1209
1200
1190
1180
1169
1158
1146
1133
1121
1107
1094
1079
1065
1050
1035
1020
1004
988
971
955
938
921
904
887
869
852
834
1364
1362
1359
1356
1351
1346
1340
1333
1325
1316
1306
1295
1284
1272
1259
1245
1230
1215
1199
1183
1166
1148
1130
1111
1092
1072
1052
1032
1011
990
969
947
926
904
882
860
838
816
794
772
1157 941 720 556 379
1154 939 719 556 378
1151 936 717 555 378
1147 933 715 554 377
1142 929 712 552 377
1136 924 708 551 376
1129 919 704 548 374
1121 912 699 546 373
1111 905 693 543 372
1101 896 687 540 370
1089 887 680 537 368
1077 878 673 533 366
1064 867 665 529 364
1050 856 657 525 362
1035 844 648 520 359
1019 832 638 515 357
1003 819 628 510 354
986805 618504351
968791 608498347
949776 596492344
930761 585485340
911745 573478337
891729 561471333
870713 549461328
850696 537451324
829680 524440320
807662 511430315
786645 498419310
764628 485408305
742610 471397299
720593 458386294
698575 445375288
676557 431364282
654540 418352275
632522 405341269
610504 391330262
589487 378319255
567470 365308248
546453 352297241
525436 339287233
Effective Length KL (ft)
Nominal Size
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
825
825
824
823
822
821
820
818
816
814
811
808
805
802
799
795
791
787
782
778
773
768
762
756
750
744
738
731
724
717
709
702
694
685
677
668
659
650
640
630
14x14
603
603
602
602
601
600
599
598
597
596
594
593
591
589
587
584
582
580
577
574
571
568
565
561
558
554
550
546
542
537
533
528
523
518
513
507
502
496
490
484
28.3 21.5 18.1
1130 873 739
6.31 6.37 6.39
1107
1105
1104
1101
1097
1093
1088
1083
1076
1069
1061
1053
1044
1034
1023
1012
1001
989
976
963
949
935
920
905
890
874
858
842
825
808
791
774
757
739
722
704
686
668
651
633
792
791
790
789
787
785
783
781
778
774
771
767
762
758
753
747
742
736
729
722
715
708
700
691
680
668
656
644
631
619
606
593
580
567
554
540
527
514
500
487
12x12
581
580
580
579
578
577
576
574
572
570
568
566
563
560
557
554
551
547
543
539
535
530
525
520
515
510
504
498
492
485
479
472
465
458
450
442
434
426
417
408
30.3 24.6 18.7 15.7
897 743 577 490
5.44 5.49 5.55 5.58
25.7 20.9 16 13.4 10.8
548 457 357 304 248
4.62 4.68 4.73 4.76 4.79
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
10
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Nominal Size
10x10
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
9x9
5/8
1/2
3/8
5/16
1/4
3/16 1/2
3/8
5/16 1/4
3/16
76.362.5 47.940.432.6 24.7 55.742.8 36.129.222.2
0.581 0.465 0.349 0.291 0.233*0.174* 0.465 0.349 0.2910.233*0.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
945774 594500361 217
942772 592498361 217
939769 590496360 216
934765 588494359 216
928760 584491358 215
921755 580487356 215
912748 574483354 214
902740 569478352 213
891731 562473350 212
879721 555467347 211
865711 547460344 209
851699 538453341 208
835687 529445337 206
819674 519437333 205
802660 509429329 203
784646 498420324 201
765631 487411319 199
746616 476401314 196
726600 464391309 194
706583 452381303 191
685567 439370297 189
664550 426360291 186
643533 413349283 183
621515 400338274 180
599498 387327266 176
577480 374316257 173
555462 360305248 169
534445 347293239 165
512427 334282230 161
490410 321271221 157
469392 307260212 153
448375 294249203 149
427359 282239195 144
407342 269228186 139
387326 257218178 134
367310 244207170 129
348294 232197162 123
329278 220187153 118
313264 209178146 112
297251 199169138 106
689531 446349212
686529 445348211
683527 443347211
679524 440346210
673520 437344210
667515 433342209
659509 428340208
651503 423337206
641495 417333205
630488 410330203
619479 403326202
606470 396321200
593460 387314197
579449 379307195
564438 370300193
549427 360292190
533415 350284187
517403 340276184
500390 330268181
483377 319259177
466364 308251173
449351 297242169
431338 286233165
414325 275224161
396311 264215157
379298 253206152
361285 242197147
344272 231188142
327259 220180136
311246 210171131
294234 199163124
278221 189154118
262209 179146112
247197 169138106
233186 159130100
220 176 150 123 95
209 167 142 117 90
198 158 135 111 85
188 150 128 105 81
179 143 122 100 77
21 17.2 13.211.1 8.96 6.76 15.3 11.8 9.92 8.03 6.06
304 256 202 172 141 108 183 145 124 102 78.2
3.8 3.86 3.923.94 3.97 4
3.45 3.51 3.54 3.56 3.59
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
11
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Nominal Size
8x8
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
7x7
5/8
1/2
3/8
5/16
1/4
3/16 5/8
1/2
3/8
5/16
1/4
3/16
59.348.9 37.731.825.8 19.6 50.842.1 32.627.622.4 17.1
0.5810.465 0.3490.2910.2330.174* 0.5810.465 0.3490.2910.2330.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
738608 468394320 206
735605 466393318 205
730601 463390316 205
724597 460387314 204
717590 455384311 203
707583 450379308 202
697575 444374303 200
684565 436368299 198
671554 428361293 196
656542 419354287 194
640529 410346281 191
623516 400338274 189
605501 389329267 186
586486 378319260 182
566470 366310252 179
546454 354299243 175
525437 341289235 171
504420 328278227 166
482403 315267218 162
461385 302256209 157
439368 289245200 152
417350 275234191 146
396333 262223182 139
374315 249212173 133
353298 236201165 126
333281 223191156 120
313265 211180147 113
293249 198170139 107
274233 186160131 101
256217 174150123 95
239204 163140115 89
225191 153131108 83
211180 144124101 78
199 169 136 116 96 74
188 160 128 110 90 70
177 151 121 104 85 66
168 143 115 98 81 62
159 136 109 93 77 59
151 129 103 89 73 56
144 122 98 84 69 53
16.4 13.5 10.4 8.76 7.1
146 125 100 85.6 70.7
2.99 3.04 3.1 3.13 3.15
630522 404342278 197
626519 401340276 197
621515 398337274 196
614509 394334272 195
606503 389330268 193
595494 383324264 191
583484 376319259 189
569474 368312254 186
554461 359304248 183
538448 349296242 180
520434 338288235 176
502419 327278227 172
482404 316269219 167
462387 303258211 161
441371 291248203 154
420354 278237194 148
399336 265226186 141
377319 252215177 135
356301 239204168 128
335284 226193159 121
314267 212182150 115
293250 200172142 108
273233 187161133 102
253217 175150125 95
234201 163140116 89
216186 151130108 83
201173 140121100 77
186 161 130 112 93 72
174 150 121 105 87 67
162 140 113 98 81 62
152 131 106 92 76 58
143 123 99 86 71 55
134 116 94 81 67 52
126 109 88 76 63 49
119 103 83 72 60 46
113 97 79 68 56 43
107 92 74 64 53 41
101 87 71 61 51 39
9683 675848 37
9179 645546 35
5.37 14 11.6 8.977.59 6.17 4.67
54.4 93.4 80.5 65 56.1 46.5 36
3.18 2.58 2.63 2.69 2.72 2.75 2.77
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
12
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Nominal Size
6x6
5/8
1/2
3/8
5/16
1/4
3/16 1/8
42.335.2 27.523.3 19 14.59.86
0.5810.465 0.3490.2910.233 0.1740.116*
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
527438 341289236 179 94
522435 338287234 178 94
516430 335284232 176 94
508424 330280229 174 93
498416 324275225 171 92
486406 317270220 167 91
472395 309263215 163 90
456383 300255208 159 89
439369 289247202 154 87
421355 279238195 148 86
402339 267228187 143 84
382323 255218179 137 82
361306 242207170 130 80
340289 229197162 124 77
318272 216186153 117 75
297255 203175144 111 72
276238 190164135 104 69
255221 177153126 98 65
235204 164142118 91 62
215188 152131109 85 58
196172 140121101 78 54
179 157 128 111 93 72 50
163 144 117 102 85 66 46
150 132 107 93 78 61 42
138 122 99 86 72 56 39
128 112 91 80 67 52 36
119 104 85 74 62 48 33
11097796957 4531
10390746454 4229
9684 696050 39 27
9079 645647 36 25
8474 605344 34 24
7970 574941 32 22
7566 534739 30 21
7162 504437 29 20
6759 484235 27 19
56453933 2618
43 37 31 24 17
30 23 16
11.7 9.74 7.58 6.43 5.24 3.98 2.7
55.2 48.3 39.534.3 28.6 22.315.5
2.17 2.23 2.282.31 2.34 2.372.39
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
13
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
Nominal Size
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
5x5
5 1/2 x 5 1/2
3/8
5/16
1/4
3/16
1/8
24.921.2 17.313.39.01
0.349 0.291 0.233 0.174 0.116*
1/2
3/8
5/16 1/4 3/16
1/8
28.4 22.4 19.1 15.6 12 8.16
0.4650.349 0.2910.2330.1740.116*
285 242 197 150 87.2
282 240 196 149 86.9
279 237 194 147 86.4
275 234 191 145 85.7
269 229 187 143 84.8
263 224 183 139 83.7
255 218 178 136 82.4
247 211 172 132 80.9
238 203 166 127 79.2
228 195 160 122 77.3
217 186 153 117 75.2
206 177 145 111 72.8
195 168 138 106 70.3
184 158 130 100 67.5
172 148 122 94.2 64.5
161 139 114 88.3 60.7
149 129 107 82.5 56.8
138 120 98.9 76.7 52.9
127 110 91.4 71 49.1
116 101 84.1 65.5 45.4
106 92.7 77 60.2 41.8
96.584.4 70.154.938.2
88.3 77.2 64.2 50.2 35
81.170.9 58.946.132.1
74.765.4 54.342.529.6
69.160.4 50.239.327.4
64.1 56 46.6 36.4 25.4
59.652.1 43.333.923.6
55.5 48.6 40.4 31.6 22
51.945.4 37.729.520.6
326256 218178136 84.8
322253 215176134 84.3
318250 213174133 83.7
311245 209171130 82.8
303239 204167127 81.6
294232 198162124 80.2
283223 191157120 78.5
271214 183151116 76.6
257204 175144111 74.4
244194 167137106 71.9
229183 157130100 68.7
214 172 148 122 94.4 64.9
199 160 138 115 88.7 61.1
184 149 129 107 82.8 57.2
169 137 119 99.2 77 53.2
154 126 110 91.5 71.2 49.4
140 115 100 84 65.5 45.5
126 104 91.3 76.7 60 41.8
113 93.9 82.5 69.6 54.6 38.2
102 84.8 74.5 62.8 49.4 34.6
92.9 76.9 67.6 57 44.8 31.4
84.6 70 61.5 51.9 40.8 28.6
77.464.1 56.347.537.4 26.2
71.158.9 51.743.634.3 24.1
65.554.2 47.740.231.6 22.2
60.650.2 44.137.229.2 20.5
56.246.5 40.934.527.1 19
52.243.2 38 32.125.2 17.7
48.740.3 35.429.923.5 16.5
45.5
6.88 5.85 4.77 3.63 2.46
29.7 25.9 21.7 17 11.8
2.08 2.11 2.13 2.16 2.19
7.88 6.18 5.26 4.3 3.28 2.23
26 21.7 19 16 12.6 8.8
1.82 1.87 1.9 1.93 1.96 1.99
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
14
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
Nominal Size
4 1/2x 4 1/2
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
4x4
1/2
3/8
5/16 1/4
3/16
1/8 1/2
3/8
5/16 1/4
3/16
1/8
25 19.8 17 13.9 10.7 7.31 21.617.3 14.812.29.42 6.46
0.4650.349 0.2910.2330.174 0.116 0.4650.349 0.2910.2330.174 0.116
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
288227 194159121 81.8
283224 191157120 81.1
278220 188154118 80.3
271215 184151115 78.8
262208 178147112 76.7
252200 172141108 74.2
240191 164136104 71.3
227 182 156 129 99.1 68.1
213 171 148 122 93.9 64.6
198 160 139 115 88.4 61
183 149 129 107 82.7 57.2
168 138 120 99.8 76.9 53.3
153 126 110 92 71.1 49.4
138 115 100 84.3 65.3 45.5
124 104 91.1 76.7 59.5 41.6
110 93.2 82.1 69.4 54 37.9
97.8 83 73.4 62.4 48.6 34.2
87.2 74 65.5 55.6 43.4 30.7
78.3 66.4 58.8 49.9 39 27.5
70.759.9 53 45.135.2 24.9
64.154.4 48.140.931.9 22.5
58.449.5 43.837.329.1 20.5
53.445.3 40.134.126.6 18.8
49.141.6 36.831.324.4 17.3
45.238.4 34 28.822.5 15.9
41.835.5 31.426.720.8 14.7
32.9
29.1 24.7 19.3
13.6
27.1
23
18
12.7
16.7
11.8
6.95 5.48 4.68 3.84 2.93
18.1 15.3 13.5 11.4 9.02
1.61 1.67 1.7 1.73 1.75
249198 170140107 73.3
244194 167137105 72.1
239190 163134103 70.8
231184 158130100 68.9
221 177 152 126 96.6 66.5
209 168 145 120 92.4 63.7
196 159 137 114 87.7 60.7
182 149 128 107 82.5 57.2
168 138 119 99.3 77.1 53.5
153 126 110 91.7 71.4 49.7
138 115 100 84 65.6 45.8
124 104 90.6 76.3 59.8 41.9
109 92.8 81.2 68.7 54 38
95.882.2 72.261.348.5 34.3
83.5 72 63.5 54.3 43.1 30.6
73.3 63.3 55.8 47.7 38 27.1
65 56.1 49.442.3 33.6 24
58 50 44.137.7 30 21.4
52 44.9 39.633.8 26.9 19.2
46.940.5 35.730.524.3 17.3
42.636.7 32.427.722.1 15.7
38.833.5 29.525.220.1 14.3
35.530.6 27 23.118.4 13.1
28.1
24.8 21.2 16.9
12
19.5 15.6
11.1
10.3
2
6.02 4.78 4.1 3.37 2.58
6.35 11.9 10.3 9.14 7.8 6.21
1.78 1.41 1.47 1.49 1.52 1.55
1.77
4.4
1.58
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
15
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
Nominal Size
3-1/2 x 3-1/2
3x3
3/8
5/16
1/4 3/16
1/8
3/8
5/16
1/4
3/16
1/8
14.712.710.58.155.61
12.2 10.6 8.81 6.87 4.75
0.3490.2910.2330.1740.1160.349 0.291 0.233 0.174 0.116
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
169 146 120 92.7 63.8
165 142 118 90.8 62.5
160 138 115 88.4 60.9
154 133 110 85.2 58.7
145 126 105 81.2 56
136 118 98.6 76.6 52.9
126 110 91.7 71.5 49.5
115 100 84.4 66 45.8
103 90.9 76.8 60.3 42
92 81.4 69.1 54.5 38.1
80.972.1 61.548.734.1
70.3 63 54.1 43.1 30.3
60.354.4 47.137.826.7
52 46.9 40.6 32.7 23.1
45.340.8 35.428.520.2
39.8 35.9 31.1 25 17.7
35.231.8 27.522.215.7
31.4 28.4 24.6 19.8 14
28.225.5 22 17.712.6
25.523 19.91611.3
23.120.8 18 14.510.3
16.413.2 9.37
140 122 101 78.2 53.8
136 118 97.9 75.9 52.3
130 113 94.1 73.2 50.5
122 107 89.1 69.4 48.1
113 98.9 83 59.8 45.1
103 90.3 76.1 54.3 41.7
92 81 68.748.6 38.1
80.871.5 61.142.834.2
69.862.1 53.437.130.3
59.3 53 46 31.8 26.5
49.444.5 39 26.822.9
41.537.4 32.822.819.4
35.431.8 27.919.716.5
30.527.4 24.117.114.2
26.623.9 21 15.112.4
23.3 21 18.4 13.3 10.9
20.718.6 16.311.99.66
16.6 14.610.7 8.62
7.73
3.39 2.94 2.44 1.89 1.3
4.09 3.52 2.91 2.24 1.54
3.78 3.45 3.02 2.46 1.78
6.49 5.84 5.04 4.05 2.9
1.26 1.29 1.32 1.35 1.37 1.03 1.08 1.11 1.14 1.17
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
16
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
Nominal Size
2-1/2 x 2-1/2
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
2-1/4 x 2-1/4
2x2
5/16
1/4
3/16 1/8
8.45 7.11 5.59 3.9
0.291 0.233 0.174 0.116
1/4
3/16
1/8
6.26 4.96 3.48
0.233 0.174 0.116
1/4
3/16
1/8
5.41 4.32 3.05
0.233 0.174 0.116
97.3 81.6 63.8 44.3
92.5 77.8 61 42.5
86.9 73.4 57.7 40.3
79.6 67.6 53.4 37.5
71.2 60.8 48.4 34.2
62 53.4 42.9 30.5
52.7 45.9 37.1 26.6
43.7 38.5 31.5 22.8
35.2 31.5 26.1 19.1
28.6 25.5 21.2 15.6
23.6 21.1 17.5 12.9
19.8 17.7 14.7 10.9
16.9 15.1 12.6 9.25
14.6 13 10.8 7.98
11.3 9.436.95
6.11
72 56.7
67.9 53.6
63 50
56.7 45.4
49.6 40.1
42.1 34.4
34.7 28.7
27.7 23.3
21.9 18.5
17.7 15
14.7 12.4
12.3 10.4
10.5 8.87
62.5
57.8
52.4
45.7
38.3
30.9
24
18.3
14.5
11.7
9.7
2.35 1.97 1.54 1.07
1.82 1.63 1.35 0.998
0.88 0.908 0.937 0.965
1.74 1.37 0.956
1.13 0.953 0.712
0.806 0.835 0.863
39.6
37.6
35.2
32.1
28.6
24.8
20.9
17.2
13.8
11.2
9.23
7.76
6.61
5.7
49.3 34.8
45.8 32.5
41.9 29.9
36.9 26.6
31.4 22.9
25.7 19
20.4 15.3
15.7 11.9
12.4 9.42
10 7.63
8.29 6.31
6.975.3
1.51 1.19 0.84
0.747 0.641 0.486
0.704 0.733 0.761
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
17
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Nominal Size
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
5x5
5 1/2 x 5 1/2
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
3/8
5/16
1/4
3/16
1/8
24.921.2 17.313.39.01
0.349 0.291 0.233 0.174 0.116*
1/2
3/8
5/16 1/4 3/16
1/8
28.4 22.4 19.1 15.6 12 8.16
0.4650.349 0.2910.2330.1740.116*
310 263 215 163 92
307 261 213 162 92
303 258 210 160 91
298 253 207 158 90
291 248 203 154 89
284 242 197 151 88
275 234 192 146 87
265 226 185 141 85
254 217 178 136 83
243 208 170 130 81
231 198 162 124 79
218 187 154 118 76
205 177 145 112 73
192 166 136 105 70
179 155 127 98 67
166 144 118 92 63
153 133 110 85 59
141 122 101 79 54
129 112 93 72 50
117 102 85 66 46
106 93 77 60 42
9684 705538
8877 645035
8171 594632
7565 544330
6960 503927
6456 473625
6052 433424
5649 403222
5245 383021
4943 352819
4640 332618
4338 312417
4035 292316
33 28 22 15
21 14
355278 237194148 90
350275 234191146 89
345271 231189144 88
337265 226185141 87
328258 220180138 86
316250 213175134 85
303240 205168129 83
289229 196161124 81
274218 187154118 78
258206 177146112 75
241193 166137106 72
224 180 156 129 99 68
207 167 145 120 93 64
190 154 134 111 86 60
173 141 123 102 80 55
157 129 112 94 73 51
142 116 102 85 67 47
126 105 92 77 61 42
113 94 83 70 55 38
102 85 74 63 49 35
9377 685745 31
8570 625241 29
7764 564837 26
7159 524434 24
6654 484032 22
6150 443729 20
5647 413427 19
5243 383225 18
4940 353024 16
4538 332822 15
35 31 26 21 14
25 19 14
13
6.88 5.85 4.77 3.63 2.46
29.7 25.9 21.7 17 11.8
2.08 2.11 2.13 2.16 2.19
7.88 6.18 5.26 4.3 3.28 2.23
26 21.7 19 16 12.6 8.8
1.82 1.87 1.9 1.93 1.96 1.99
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
18
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Nominal Size
4 1/2x 4 1/2
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
4x4
1/2
3/8
5/16 1/4
3/16
1/8 1/2
3/8
5/16 1/4
3/16
1/8
25 19.8 17 13.9 10.7 7.31 21.617.3 14.812.29.42 6.46
0.4650.349 0.2910.2330.174 0.116 0.4650.349 0.2910.2330.174 0.116
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
313247 211173132 87
308243 208170130 86
302238 204167128 85
293232 199163125 84
283224 192158121 82
270215 185152117 80
256205 176145111 76
241194 167138106 73
225182 157130100 69
208 169 146 122 93 65
191 156 136 113 87 60
174 143 125 104 80 56
157 130 114 95 74 51
141 118 103 87 67 47
125 105 93 78 61 43
110 94 83 70 55 38
9883 736249 34
8774 655643 31
7866 595039 28
7160 534535 25
6454 484132 23
5850 443729 21
5345 403427 19
4942 373124 17
4538 342923 16
4235 312721 15
33
29
25
19
14
27
23
18
13
17
12
6.95 5.48 4.68 3.84 2.93
18.1 15.3 13.5 11.4 9.02
1.61 1.67 1.7 1.73 1.75
271215 185152116 80
265211 181149114 78
258206 177146112 77
249199 171141108 74
237190 164135104 72
224 180 156 129 99 68
209 169 146 121 94 65
193 157 136 113 88 61
176 145 126 105 81 57
160 132 115 96 75 52
143 119 104 87 68 48
126 107 93 79 62 43
111 94 83 70 55 39
9683 736249 35
8372 635443 31
7363 564838 27
6556 494234 24
5850 443830 21
5245 403427 19
4741 363124 17
4337 322822 16
3933 302520 14
3531 272318 13
28
25
21
17
12
20
16
11
10
6.02 4.78 4.1 3.37 2.58
2
6.35 11.9 10.3 9.14 7.8 6.21
1.78 1.41 1.47 1.49 1.52 1.55
1.77
4.4
1.58
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
19
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Nominal Size
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
3-1/2 x 3-1/2
3/8
5/16
1/4
3/16
1/8
14.712.710.58.155.61
0.3490.2910.2330.1740.116
3x3
3/8
5/16
1/4
3/16
1/8
12.2 10.6 8.81 6.87 4.75
0.349 0.291 0.233 0.174 0.116
184 158 131 101 69
179 154 128 98 68
173 150 124 96 66
166 143 119 92 63
156 135 113 87 60
145 126 105 82 57
133 116 97 76 53
120 106 89 70 48
108 95 80 63 44
9584 725740
8274 635035
7164 554431
6054 473827
5247 413323
4541 352820
4036 312518
3532 282216
3128 252014
2825 221813
2523 201611
2321 181510
16 13 9
153 132 110 85 59
147 128 106 82 57
140 122 102 79 55
131 115 96 75 52
121 106 89 69 48
109 96 81 64 44
9685 725740
8474 645136
7164 554431
6054 473827
4944 393223
4137 332719
3532 282317
3027 242014
2724 211712
2321 181511
2119 161310
17 15 12 9
11 8
4.09 3.52
2.91 2.24 1.54
6.49 5.84 5.04 4.05 2.9
1.26 1.29 1.32 1.35 1.37
3.39 2.94 2.44 1.89 1.3
3.78 3.45 3.02 2.46 1.78
1.03 1.08 1.11 1.14 1.17
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
20
HSS/SQUARE (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
Nominal Size
Effective Length KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
2-1/2 x 2-1/2
5/16
1/4
3/16 1/8
8.45 7.11 5.59 3.9
0.291 0.233 0.174 0.116
2-1/4 x 2-1/4
1/4
3/16
1/8
6.26 4.96 3.48
0.233 0.174 0.116
2x2
1/4
3/16
1/8
5.41 4.32 3.05
0.233 0.174 0.116
106 89 69
100 84 66
94 79 62
85 72 57
75 64 51
65 56 45
54 47 39
44 39 32
35 31 26
29 25 21
24 21 18
20 18 15
17 15 13
15 13 11
11 9
78 62
73 58
68 54
60 48
52 42
44 36
35 29
28 23
22 19
18 15
15 12
12 10
10 9
68
62
56
48
40
32
24
18
14
12
10
48
46
43
40
36
32
28
23
19
16
13
11
9
8
7
6
2.35 1.97 1.54 1.07
1.82 1.63 1.35 0.998
0.88 0.908 0.937 0.965
43
41
38
34
30
26
22
17
14
11
9
8
7
6
1.74 1.37 0.956
1.13 0.953 0.712
0.806 0.835 0.863
54
50
45
39
33
26
20
16
12
10
8
7
38
35
32
28
24
20
16
12
9
8
6
5
1.51 1.19 0.84
0.747 0.641 0.486
0.704 0.733 0.761
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
21
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
Diameter
20
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
0.5 0.375
104.13 78.6
0.465 0.349
18
0.5 0.375
93.45 70.59
0.465 0.349
16
0.5 0.438 0.3750.312
82.77 72.8 62.58 52.28
0.465 0.407 0.349 0.291
14
0.5 0.3750.312
72.09 54.57 45.61
0.465 0.349 0.291
1080
1080
1080
1069
1069
1069
1069
1069
1059
1058
1054
1049
1044
1039
1033
1027
1021
1014
1008
1001
993
985
976
968
959
951
941
932
922
912
902
892
881
869
859
847
836
825
813
800
968
967
966
965
962
959
957
954
950
946
941
936
931
925
919
913
905
898
890
883
875
866
857
847
839
828
818
808
797
787
776
764
753
741
730
718
706
695
682
669
858
857
856
854
851
849
846
842
838
833
828
823
816
810
804
796
788
780
772
763
754
744
735
724
715
704
692
682
670
659
647
635
624
611
599
587
574
561
550
537
749
748
745
744
741
738
735
731
725
720
715
708
701
694
686
678
669
661
651
642
631
622
610
599
589
577
565
553
541
529
517
504
492
480
467
454
442
429
416
403
813
812
811
810
809
808
806
804
800
798
795
792
788
784
780
775
771
766
760
755
750
743
738
732
725
718
712
704
697
689
682
673
666
658
649
641
632
624
615
607
28.5 21.5
1360 1040
6.91 6.95
734
733
732
731
730
727
725
723
720
717
714
709
705
701
697
691
687
681
676
669
664
656
650
644
636
629
622
614
606
598
590
581
573
564
555
546
537
528
519
510
25.6 19.4
985 754
6.2 6.24
752
752
751
749
746
744
741
738
735
731
726
721
716
710
704
698
691
684
678
669
662
653
645
636
627
617
609
598
589
579
569
558
547
537
526
516
505
493
483
472
650
649
648
647
646
644
641
638
635
632
628
624
619
614
609
604
598
592
586
579
573
565
558
551
543
535
526
518
509
501
492
484
474
466
456
447
437
428
419
410
544
543
543
542
540
539
537
535
532
529
526
522
519
515
510
506
501
496
490
485
480
473
468
462
455
448
442
434
428
420
413
406
398
391
383
375
367
360
352
344
22.7 19.9 17.2 14.4
685 606 526 443
5.49 5.51 5.53 5.55
568
566
565
563
561
559
557
554
550
546
541
537
532
526
521
515
508
502
494
487
480
472
464
455
448
438
430
421
412
403
394
384
375
365
357
347
338
328
319
309
472
472
471
470
468
466
464
462
458
455
451
448
444
439
434
429
424
418
413
407
400
394
388
380
374
366
359
352
344
337
329
322
313
306
299
290
283
274
267
259
19.8 15 12.5
453 349 295
4.79 4.83 4.85
22
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
12.75
0.5 0.3750.25
65.42 49.56 33.38
0.465 0.349 0.233
10.75
0.5 0.3750.25
54.74 41.59 28.04
0.465 0.34 0.233
10
0.625 0.5 0.375 0.312 0.25 0.188
62.5850.73 38.5532.2826.03 19.7
0.5810.465 0.3490.2910.233 0.174
677
676
673
671
669
665
662
656
651
646
640
632
625
617
609
600
591
581
572
561
551
540
528
517
505
493
482
469
456
445
432
419
407
394
381
370
357
344
332
321
568
565
563
561
558
554
548
543
537
530
523
515
506
498
488
478
468
456
446
434
422
411
398
386
374
361
348
336
323
311
299
286
274
263
250
238
228
216
205
195
650525 400336270 203
648524 399335269 202
646522 398334269 201
642519 396331267 200
637516 393329266 199
632511 390327264 198
626506 386324260 196
618500 381320257 194
610493 377316254 192
600486 372311251 188
591479 365306247 185
580470 359301242 182
569461 353295238 179
557451 345290234 176
544442 338284229 173
530431 329277223 168
517420 322270218 164
503409 313263213 160
488397 305256206 156
473385 295249201 151
458374 287241195 147
443361 277233188 142
428348 268226182 138
412337 258218176 133
396324 249210169 128
380311 239202163 124
365299 230194157 119
349286 220186151 114
334274 212178145 109
319262 202170139 105
304250 193163132 101
289238 184156126 95
274227 175148121 91
260215 166141114 87
246203 158133109 83
232193 149126103 78
220 182 141 120 97 74
209 173 133 113 92 70
198 164 127 108 88 67
188 156 121 103 84 64
515
514
512
510
508
506
503
499
496
491
486
481
475
470
464
457
450
443
435
428
420
412
403
395
385
377
367
359
349
340
330
321
312
303
293
284
274
265
256
247
346
345
345
344
342
341
339
337
334
331
328
324
321
317
312
308
304
300
294
289
284
278
273
267
262
255
249
244
237
231
224
218
212
205
199
193
186
181
175
168
17.9 13.6 9.16
339 262 180
4.35 4.39 4.43
419
418
417
415
413
410
407
402
398
393
388
382
376
370
362
355
347
340
331
323
314
306
298
288
278
270
260
251
242
233
224
215
206
197
188
180
172
163
155
147
291
290
289
288
287
285
282
280
276
273
269
266
262
257
252
247
242
236
231
226
219
214
208
201
195
188
183
177
170
164
158
151
145
139
133
127
122
115
110
105
15 11.1 7.7
199 151 106
3.64 3.68 3.72
17.2 13.9 10.6 8.88 7.15
191 159 123 105 85.3
3.34 3.38 3.41 3.43 3.45
5.37
64.8
3.47
23
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
9.625
0.5 0.3750.312 0.25 0.188
48.7337.0531.0325.0318.95
0.4650.3490.2910.2330.174
8.625
0.5 0.3750.322 0.25 0.188
43.3933.0428.5522.3616.94
0.4650.349 0.3 0.2330.174
506385 323259196
505384 322258195
503382 320257194
500380 319256193
496378 316254192
491375 313252190
486371 310250188
480365 306247185
473361 302244183
466355 298239181
457349 292236178
449342 287231175
439336 281227170
430328 275222167
419321 269217163
409312 262212160
397304 255205156
385295 248200151
374287 240195147
362277 233188142
349268 226182138
337259 218176133
324250 210169128
311240 202163124
300231 194158119
287221 186151114
274212 178145110
262202 170139105
250193 163132101
237 184 156 126 95
226 175 148 120 91
214 166 141 114 87
202 158 133 108 83
191 149 126 103 78
180 141 119 97 74
170 132 112 92 70
161 126 107 87 66
152 120 101 83 62
145 113 95 78 59
138 108 91 74 56
450343 296232175
448341 295231174
446340 294230173
443338 292229172
438335 289227170
433330 286223168
427326 283221166
420321 278218164
413316 273214161
404309 268210158
396303 263205155
386295 256201151
376288 250196148
365281 244191144
355272 236185140
343264 229180136
331254 221174131
319246 214167127
307236 205162122
294227 198156118
282218 190149113
269209 181143108
257199 174137104
245 190 165 130 98
232 180 157 124 94
220 170 149 118 90
208 162 142 112 85
196 152 133 106 80
184 144 126 100 76
174 136 119 94 72
162 127 111 89 68
152 120 105 83 64
143 112 98 78 59
134 106 93 73 56
127 100 88 70 53
121 94 83 66 50
114 89 78 62 48
108 85 74 59 44
103 80 71 56 42
9776 675340
13.4 10.2 8.53 6.87 5.17
141 110 93 75.9 57.7
3.24 3.28 3.3 3.32 3.34
11.9 9.07 7.85 6.14 4.62
99.5 77.8 68.1 54.1 41.3
2.89 2.93 2.95 2.97 2.99
24
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
Diameter
7.625
0.375 0.328
29.04 25.56
0.349 0.305
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
302
300
298
295
292
288
283
277
271
264
257
249
241
233
223
215
205
196
186
177
168
159
149
141
131
123
114
106
100
92
87
82
76
72
68
65
60
58
55
52
7.5
0.5 0.3750.312 0.25 0.188
37.3828.5423.9519.3614.68
0.4650.3490.2910.2330.174
265 390296 249201151
264 388294 248200150
262 384292 246199149
259 380290 244197148
256 376286 240195146
253 370282 237192144
249 363277 233188142
244 356271 229184139
238 347265 223180136
232 338258 217176132
226 327251 212172129
219 317242 204166125
212 306235 198160121
204 294226 191155116
197 283217 183149112
190 270209 176143108
181 257199 168137104
173 246 190 160 130 98
164 233 180 152 124 94
157 220 170 145 118 89
148 208 161 137 111 85
140 195 151 129 105 79
132 183 143 122 100 75
124 172 133 113 93 71
116 160 125 107 87 67
109 148 116 100 82 62
102 138 108 92 75 58
94
128 101 86 70 54
88
120 93 79 66 50
82
111 88 75 61 47
77
104 82 70 57 43
72
9777 665441
68
9272 615139
64
8768 584836
60
8265 554634
57
7760 524233
54
7357 494031
51
7054 473830
49
6652 443628
47
6249 423526
7.98 7.01
52.9 47.1
2.58 2.59
10.3 7.84 6.59 5.32 4
63.9 50.2 42.9 35.2 26.9
2.49 2.53 2.55 2.57 2.59
25
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
Diameter
6.875
0.5 0.3750.3120.25 0.188 0.125 0.5 0.3750.312 0.25 0.188
34.7126.53 22.2918.0213.68 9.18 34.0426.0321.8717.6913.43
0.4650.349 0.2910.2330.174 0.116 0.4650.3490.2910.2330.174
7
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
361275 232187141 95
359274 230186140 94
356272 229184139 93
352269 226182138 92
346265 222180136 91
340260 219177133 90
334255 215174131 88
325249 210169128 86
316242 204165125 84
306235 198160121 82
295227 192156118 79
285219 184149113 76
273211 178144109 74
262201 170138105 71
250193 163132101 68
237 183 155 126 95 65
224 174 147 120 91 61
212 164 139 113 86 58
199 155 131 107 82 55
187 145 124 101 76 52
175 136 115 94 72 49
163 127 108 89 68 46
151 119 101 83 64 43
140 109 93 76 58 40
129 101 87 71 54 37
120 93 79 66 50 34
110 87 74 60 47 32
103 80 69 56 43 30
9675 655340 28
9070 605038 25
8466 564735 24
7861 534333 22
7458 504031 21
7055 473830 20
6652 443628 19
6249 413426 18
5947 393324 17
5643 373123 16
0 41 36 30 22 15
0 0 0 0 21 15
9.55 7.29 6.13 4.95 3.73
51.2 40.4 34.6 28.4 21.7
2.32 2.35 2.37 2.39 2.41
354271 228184139
352269 227182138
348267 224181137
344264 221179134
339259 218177133
332255 215174130
325250 210169128
317244 205166125
308236 199161122
298230 194157119
287221 186151114
276213 180146110
265204 173140106
253196 165134102
240 186 158 128 97
228 177 150 122 92
215 167 142 115 88
203 158 134 109 83
191 149 126 103 78
178 140 119 96 74
166 130 111 91 69
155 122 104 85 65
143 112 96 78 60
131 104 89 73 56
121 96 82 68 52
112 89 76 62 48
104 83 70 58 44
9676 665441
9071 615038
8467 574736
7862 534334
7458 504132
7055 473930
6652 443628
6149 423426
5847 393325
5543 373123
41 36 30 22
28 21
2.51 9.36 7.16 6.02 4.86 3.66
14.9 48.3 38.2 32.7 26.8 20.6
2.43 2.27 2.31 2.33 2.35 2.37
26
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
Diameter
6.625
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0.5 0.432 0.3750.312 0.28 0.25 0.188 0.125
32.7128.57 25.0321.0418.97 17.02 12.92 8.68
0.4650.403 0.3490.2910.261 0.233 0.174 0.116
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
340298 260219197 177 133 90
338295 258217196 176 132 89
335293 256215194 174 131 88
330289 253213192 173 130 87
325285 249210188 169 128 86
318278 244205185 166 126 85
310272 238201181 162 123 83
302265 232196177 159 120 80
292257 224190172 154 116 78
283248 217183165 149 112 76
272239 210177160 143 109 73
260229 201169154 138 105 71
249219 192162147 132 101 68
236209 183155140 126 95 65
223197 174147133 120 91 61
212186 164140126 113 87 58
199176 155131119 107 82 55
186165 145124112 101 77 52
174154 137115105 94 72 49
162
143
127
10898896846
149
133
118
10191836442
139
123
109
9385765840
127
113
101
8678715437
116
104927972655034
10795857367 60 4732
10089786861 55 4229
9283 736257 52 39 26
8676 685853 48 37 25
7971 645450 44 34 23
7467 595147 41 32 22
7062 554843 39 30 20
6658 524440 37 29 19
6155 494238 35 26 18
5852 463936 33 25 17
5549 433734 31 23 16
5247 413532 29 22 15
393331282115
20
14
9 7.88 6.885.79 5.22 4.68 3.53 2.37
42.9 38.3 34 29.1 26.5 23.9 18.4 12.6
2.18 2.2 2.22 2.24 2.25 2.26 2.28 2.3
27
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
6
0.50.3750.3120.280.250.1880.125
29.3722.53 18.9517.1115.35 11.67 7.84
0.4650.349 0.2910.2610.233 0.174 0.116
5.563
0.375 0.258 0.188 0.134
20.78 14.62 10.79 7.77
0.349 0.241 0.174 0.125
306234 197178160 121 80
303232 196177158 120 80
300230 194175157 118 79
294227 191172155 116 78
289221 187168151 114 77
282216 182165148 111 75
273211 178160144 109 73
264203 172156139 105 71
254196 165149134 102 69
242187 159144129 97 66
232179 151138123 93 64
219170 144130118 89 60
208161 137124111 85 57
195151 129116105 79 54
182
143
121
110987551
169
133
113
103927148
157
124
106
95876644
145
1149789806141
133
1069082745639
122968375685236
110887669624833
101806962574330
9273 645752 40 28
8568 585348 37 25
7862 534944 34 23
7257 504640 32 21
6753 464138 29 20
6250 423935 28 18
5847 403633 25 17
5443 373431 23 16
5140 353229 22 15
4838 333026 21 14
363128251914
241813
216 152 111 80
214 150 110 80
212 149 109 79
208 146 107 78
202 143 105 76
197 139 103 74
191 134 100 72
183 130 95 70
176 124 92 67
167 119 88 64
158 112 84 60
149 106 78 57
140 100 74 54
130 93 69 51
121 87 65 48
111 80 60 43
103 74 55 40
93 68 51 37
85 61 47 34
77 56 42 31
70 51 38 29
64 47 35 25
58 42 32 23
53 39 30 21
49 36 28 20
46 33 25 18
42 31 23 17
39 29 21 16
36 26 20 15
34 24 19 14
23 18 13
12
8.09 6.2 5.22 4.71 4.22
31.2 24.8 21.3 19.4 17.6
1.96 2 2.02 2.03 2.04
5.72 4.03 2.95
19.5 14.3 10.7
1.85 1.88 1.91
3.18 2.14
13.5 9.28
2.06 2.08
2.14
7.9
1.92
28
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
5.5
5
0.5 0.3750.258 0.5 0.375 0.3120.258 0.25 0.188 0.125
26.7 20.5314.44 24.0318.52 15.6213.0712.68 9.66 6.51
0.465 0.349 0.241 0.4650.349 0.2910.2410.233 0.174 0.116
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
278 214 150
275 212 149
271 209 147
266 204 144
259 200 141
252 194 138
244 187 132
233 180 128
222 173 123
211 164 116
199 156 110
187 146 104
175 137 97
162 127 91
149 118 85
138 109 78
125 100 72
113 91 66
103 83 59
92 74 54
84 68 49
76 61 44
70 56 41
65 52 37
59 48 35
55 43 32
51 40 30
48 38 28
44 35 25
33 24
22
250193 163137132 100 68
247191 161134130 98 67
242187 158132128 97 66
237183 155129126 95 65
230178 150126122 92 62
221172 145122118 90 60
212164 139116113 86 58
201157 132111108 83 56
190148 126106103 78 53
178
140
119
100967450
165
130
111
93916947
154
121
103
87856544
141
1119580786041
128
1028774725538
116937967665135
105847261594632
9375 655554 41 29
8367 584949 37 25
7460 524443 34 23
6854 474039 31 21
6150 423635 28 19
5646 393333 25 17
5141 363030 23 16
4738 332828 21 15
4335 302525 19 14
4032 282323 18 13
302522211712
20201611
7.36 5.65 3.98
23.5 18.8 13.8
1.79 1.83 1.86
6.62 5.1 4.3 3.6 3.49
17.2 13.9 12 10.2 9.94
1.61 1.65 1.67 1.68 1.69
2.64 1.78
7.69 5.31
1.71 1.73
29
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
4.5
0.337 0.237 0.188 0.125
14.98 10.79 8.66 5.84
0.315 0.221 0.174 0.116
4
0.3130.25 0.2370.2260.22 0.1880.125
12.33 10.01 9.52 9.11 8.88 7.65 5.17
0.2910.233 0.2210.2110.205 0.174 0.116
157
154
151
147
142
136
128
121
113
105
96
88
79
71
64
55
49
43
39
36
32
30
26
24
60
59
58
57
55
53
51
48
44
42
39
36
33
30
26
23
21
19
17
15
14
13
12
11
10
128
105
100
95927954
126
1039793907753
123
1009491887552
119969188867350
113928884827048
107878379776746
100827774726242
9276 726968 58 39
8570 676461 53 37
7764 605856 49 34
6957 555251 43 31
6151 494746 39 28
5444 434140 35 24
4839 383635 31 21
4134 333231 26 19
3630 292826 23 16
3226 252423 21 15
2923 232221 18 13
2521 201919 17 12
2319 181817 15 11
2117 171616 14 10
1916 151514 13 8
1.6
3.84
1.55
3.39 2.76 2.62 2.51 2.44
5.87 4.91 4.7 4.52 4.41
1.32 1.33 1.34 1.34 1.34
112
110
108
106
102
97
93
88
82
76
70
65
58
53
47
41
37
33
30
26
24
22
20
18
17
89
88
86
84
82
78
74
70
66
61
56
52
47
42
38
34
30
26
24
21
20
18
16
15
14
4.14 2.97 2.36
9.12 6.82 5.54
1.48 1.51 1.53
2.09 1.42
3.83 2.67
1.35 1.37
30
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
3.5
0.313 0.3 0.25 0.216 0.203 0.188 0.125
10.65 10.25 8.68 7.58 7.15 6.65 4.51
0.291 0.28 0.233 0.201 0.189 0.174 0.116
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
111
1079078746947
108
1048876736746
104
1018574706544
100968271676242
9390 766764 58 40
8784 716259 55 37
7976 665754 51 34
7269 595250 46 32
6461 534744 41 29
5654 474139 36 25
4947 413634 32 22
4140 353130 28 19
3534 302625 23 17
3130 252321 20 14
2625 222019 18 13
2322 201717 16 11
2120 171615 14 10
1818 161413 13 8
1716 141312 11 7
7
2.93 2.83 2.39 2.08 1.97
3.81 3.7 3.21 2.84 2.7
1.14 1.14 1.16 1.17 1.17
1.82 1.23
2.52 1.77
1.18 1.2
31
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
3
0.25 0.2160.2030.1880.1520.134 0.125
7.346.42 6.065.654.62 4.1 3.84
0.2330.201 0.1890.1740.142 0.125 0.116
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
2.875
0.25 0.203 0.1880.125
7.01 5.79 5.4 3.67
0.233 0.189 0.174 0.116
7667 645848 42 38
7465 615647 41 37
7161 585444 39 36
6758 555141 37 34
6153 514739 35 31
5549 464235 32 29
4943 413832 29 25
4238 363328 24 22
3633 312923 21 19
3128 252420 18 17
2522 212017 15 14
2119 181714 13 12
1816 161512 11 10
1614 141311 10 8
1412 121110 8 7
12
11
11
10776
65
73 60 56
70 58 54
67 55 51
62 52 48
57 47 44
51 42 39
44 37 35
38 32 30
33 28 25
26 22 21
22 19 18
18 16 15
16 14 13
14 12 11
12 10 10
2.03 1.77 1.67 1.54 1.27
1.95 1.74 1.66 1.55 1.3
0.982 0.992 0.996 1 1.01
1.93 1.59 1.48 1.01
1.7 1.45 1.35 0.958
0.938 0.952 0.957 0.976
1.13 1.02
1.17 1.06
1.02 1.02
38
37
35
33
31
28
24
21
18
15
13
11
8
7
6
6
32
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 42ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=42ksi
Diameter
2.375
0.25 0.1880.125 0.25 0.218 0.1880.154 0.125
6.01 4.64 3.17 5.67 5.02 4.39 3.65 3
0.233 0.174 0.116 0.2330.2040.1740.1430.116
2.5
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
62 48
59 46
55 42
51 39
44 35
38 30
32 25
26 21
21 17
17 14
14 12
12 10
10 8
33
32
30
26
24
21
18
15
12
10
8
6
5
5
6557 504134
6054 473932
5650 433630
5044 383326
4238 342923
3632 282320
2925 231916
2220 181513
1816 141211
15 13 12 10 8
12 11 10 8 6
10 10 8 6 5
00 655
1.66 1.27 0.87 1.57 1.39 1.2 1 0.82
1.08 0.865 0.619 0.91 0.827 0.7330.627 0.527
0.806 0.825 0.844 0.762 0.771 0.7810.791 0.8
1.9
1.66
0.145
2.72
0.135
0.14
2.27
0.13
29
25
23
20
16
13
10
7
5
4
23
21
18
15
11
8
6
4
3
0.75
0.293
0.626
0.62
0.184
0.543
33
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
20
Diameter
0.5 0.375
104.13 78.6
0.465 0.349
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
1175
1175
1175
1175
1175
1175
1165
1165
1165
1154
1154
1144
1144
1133
1122
1122
1112
1101
1101
1091
1080
1069
1059
1049
1040
1029
1018
1006
995
983
971
958
946
933
920
907
894
880
866
852
18
0.5 0.375
93.45 70.59
0.465 0.349
890
889
888
887
885
884
881
879
876
872
868
865
861
856
851
846
840
834
828
822
814
808
800
793
786
777
769
760
752
743
734
725
716
706
697
686
677
666
656
646
1059804
1059803
1058802
1056800
1054798
1050796
1047793
1043791
1039787
1033784
1028779
1022775
1015770
1009764
1002759
993
754
986
748
976
741
968
734
958
727
949
720
938
712
928
704
917
696
905
687
894
679
882
670
870
661
858
651
845
642
832
632
818
623
806
613
792
602
778
592
764
581
751
572
737
561
722
551
708
539
28.5 21.5
1360 1040
6.91 6.95
25.6 19.4
985 754
6.2 6.24
16
0.5 0.438 0.3750.312
82.77 72.8 62.58 52.28
0.465 0.407 0.349 0.291
940
938
937
935
932
929
925
921
916
910
904
897
890
882
875
865
857
847
836
826
815
805
793
781
769
756
743
731
717
704
690
677
662
648
634
619
606
591
576
562
824
823
822
820
817
814
811
807
803
798
793
787
780
774
767
759
752
743
734
725
716
706
696
685
674
664
653
642
630
618
607
594
582
570
557
545
533
520
507
494
713
712
710
708
706
704
701
698
694
690
685
681
674
669
663
656
650
643
635
627
619
611
602
593
584
575
565
556
545
536
525
515
504
493
483
472
462
451
439
429
596
595
594
593
592
590
587
584
581
578
574
570
565
560
556
550
544
538
533
525
519
512
505
498
490
482
474
466
457
449
440
432
424
414
406
397
388
379
370
360
22.7 19.9 17.2 14.4
685 606 526 443
5.49 5.51 5.53 5.55
14
0.5 0.3750.312
72.09 54.57 45.61
0.465 0.349 0.291
820
818
816
814
811
808
803
798
792
786
779
772
763
755
745
736
725
715
704
692
681
668
655
643
630
616
602
589
575
560
546
532
518
503
489
474
460
446
431
417
622
620
618
617
614
612
609
605
600
596
591
584
579
573
565
558
551
543
535
526
517
508
499
489
479
469
458
449
438
428
417
406
395
384
374
362
352
341
330
320
518
517
516
515
512
510
507
504
501
497
492
488
483
478
471
466
460
453
446
439
432
424
416
409
400
392
383
375
366
357
348
340
330
322
312
304
294
286
276
268
19.8 15 12.5
453 349 295
4.79 4.83 4.85
34
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
12.75
0.5 0.3750.25
65.42 49.56 33.38
0.465 0.349 0.233
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
741
739
738
735
732
727
723
717
710
704
697
688
680
670
661
650
640
628
616
604
591
578
565
552
538
524
510
497
482
468
453
438
425
410
396
381
367
354
340
327
563
562
560
559
556
553
550
545
541
536
529
524
517
510
503
496
487
479
470
461
451
442
432
421
411
401
391
380
368
358
347
337
326
314
304
293
283
272
263
252
379
378
378
376
375
373
371
367
364
361
357
354
348
344
340
335
329
323
318
311
305
299
292
286
278
272
265
257
250
244
236
229
221
214
208
200
193
186
179
173
17.9 13.6 9.16
339 262 180
4.35 4.39 4.43
10.75
0.5 0.3750.25
54.74 41.59 28.04
0.465 0.34 0.233
622
619
617
614
610
605
599
593
586
577
569
559
548
538
527
515
503
490
476
464
450
436
421
408
393
379
364
350
336
322
307
293
281
267
254
240
228
216
205
195
460
458
456
454
451
448
444
439
434
428
421
415
408
399
391
382
374
364
355
345
336
325
314
304
294
284
273
263
252
241
231
221
211
201
192
182
173
163
155
147
319
318
317
316
313
311
308
305
301
298
293
288
283
277
272
267
260
254
248
241
234
228
220
213
205
199
192
184
177
169
163
156
148
142
136
129
122
115
110
105
15 11.1 7.7
199 151 106
3.64 3.68 3.72
10
0.625 0.5 0.375 0.312 0.25 0.188
62.5850.73 38.5532.2826.03 19.7
0.5810.465 0.3490.2910.233 0.174
713575438367296
709574437366295
706571435365294
702568433363292
697563430360290
690558426357287
683552421353285
673545416348281
664537410344277
653528403339273
641519397332268
628509390326264
615499381320258
600487373312252
586475364305247
570463355298240
554450345290234
538437335282228
521424325273220
503410314265214
486396304255206
468382293247200
450367283238193
432353272229185
414339260220178
396324250211170
378310239202163
360296229193157
343282218184149
326268208175142
309255197166136
292241187158128
276229177150122
260216167142115
246203158133109
232193149126103
220 182 141 120
97
209 173 133 113
92
198 164 127 108
88
188 156 121 103
84
17.2 13.9 10.6 8.88 7.15
191 159 123 105 85.3
3.34 3.38 3.41 3.43 3.45
222
221
220
219
218
216
214
211
209
205
201
198
194
190
185
181
176
172
166
161
156
150
145
140
134
129
124
119
113
108
103
97
92
88
83
78
74
70
67
64
5.37
64.8
3.47
35
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
9.625
0.5 0.3750.312 0.25 0.188
48.7337.0531.0325.0318.95
0.4650.3490.2910.2330.174
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
8.625
0.5 0.3750.322 0.25 0.188
43.3933.0428.5522.3616.94
0.4650.349 0.3 0.2330.174
214
213
213
211
210
208
205
202
199
196
193
188
185
181
176
172
166
162
157
151
146
141
136
130
124
119
113
108
103
98
93
88
83
78
74
70
66
62
59
56
492376325254192
490374324253191
487372322252190
484368320250188
479365317248186
472361312245184
466356308240181
457349303237179
449343296233175
438336291228172
428327284222167
417319276217164
404310269211159
393301262205155
379291253199150
366282245192145
353271236185140
339260227178134
324250217172129
310239209164124
295229199157119
281217190149113
267206180142108
253196172136103
238185162128 97
224175154121 92
212165144114 87
198155136107 82
185145127101 77
174 136 119
94
72
162 127 111
89
68
152 120 105
83
64
143 112
98
78
59
134 106
93
73
56
127 100
88
70
53
12194836650
11489786248
10885745944
10380715642
9776675340
13.4 10.2 8.53 6.87 5.17
141 110 93 75.9 57.7
3.24 3.28 3.3 3.32 3.34
11.9 9.07 7.85 6.14 4.62
99.5 77.8 68.1 54.1 41.3
2.89 2.93 2.95 2.97 2.99
555
553
551
546
542
537
530
523
515
506
497
486
474
463
451
438
425
412
398
383
370
355
341
326
311
298
283
269
255
241
229
216
202
191
180
170
161
152
145
138
422
420
419
416
413
409
404
398
393
385
379
371
363
354
345
336
325
316
305
294
284
273
263
251
240
230
219
209
198
187
178
168
158
149
141
132
126
120
113
108
354
352
350
348
345
342
338
334
328
323
317
310
304
296
289
282
273
265
256
248
238
230
220
212
202
194
184
176
167
159
150
142
133
126
119
112
107
101
95
91
285
284
283
281
278
275
272
269
265
260
256
251
246
239
233
228
220
214
208
200
193
186
179
172
164
157
150
143
136
129
122
115
109
103
97
92
87
83
78
74
36
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
7.625
0.375 0.328
29.04 25.56
0.349 0.305
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
330
328
326
323
319
313
308
301
293
286
277
268
258
249
238
228
217
206
196
184
174
163
152
143
133
123
114
106
100
92
87
82
76
72
68
65
60
58
55
52
290
289
287
284
280
275
270
265
258
251
244
236
228
219
210
200
192
182
173
163
154
144
136
126
118
109
102
94
88
82
77
72
68
64
60
57
54
51
49
47
7.98 7.01
52.9 47.1
2.58 2.59
7.5
0.5 0.3750.312 0.25 0.188
37.3828.5423.9519.3614.68
0.4650.3490.2910.2330.174
427325273220165
424323271219164
420320269217163
416317267215162
410312263213160
403307258209157
395302254205155
385294248200151
376287241196147
364278235191143
353270228184139
341262220178134
327251212172130
314241203165125
300231195159120
286220186151114
271210178144109
257199168137104
242 188 159
130
98
229 177 150
123
93
214 166 142
115
88
200 156 132
108
83
186 146 124
102
77
174 136 115
94
72
160 126 108
88
67
148 116 100
82
62
138
108
927558
128
101
867054
120
93796650
111
88756147
104
82705743
97
77665441
92
72615139
87
68584836
82
65554634
77
60524233
73
57494031
70
54473830
66
52443628
62
49423526
10.3 7.84 6.59 5.32 4
63.9 50.2 42.9 35.2 26.9
2.49 2.53 2.55 2.57 2.59
37
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
6.875
0.5 0.3750.3120.25 0.188 0.125 0.5 0.3750.312 0.25 0.188
34.7126.53 22.2918.0213.68 9.18 34.0426.0321.8717.6913.43
0.4650.349 0.2910.2330.174 0.116 0.4650.3490.2910.2330.174
7
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
395302254205155104
393300252203154103
389298250202152103
384293247199150102
378289244197148100
371 284 238
193 145
98
362 277 233
188 142
96
353 270 228
184 139
93
342 262 220
179 134
91
330 253 214
173 130
88
318 245 206
167 126
85
305 234 198
161 122
82
291 224 190
154 116
78
277 214 181
147 111
75
264 203 173
140 106
72
250 193 163
132 101
68
235 182 155
126
95
65
220 170 145
119
90
61
206 160 137
111
85
57
193 149 127
104
79
54
179 140 119
97
74
51
165 129 110
90
69
47
152 120 102
84
64
43
140
11094775940
129
10187715437
120
9379665034
110
8774604732
103
8069564330
96
7565534028
90
7060503825
84
6656473524
78
6153433322
74
5850403121
70
5547383020
66
5244362819
62
4941342618
59
4739332417
56
4337312316
4136302215
21 15
9.55 7.29 6.13 4.95 3.73
51.2 40.4 34.6 28.4 21.7
2.32 2.35 2.37 2.39 2.41
388 296 249 201
151
384 294 248 200
150
381 291 246 198
149
376 288 242 196
147
370 284 238 193
145
362 277 234 188
142
354 271 229 184
140
343 264 222 180
136
332 256 216 175
131
321 247 209 168
127
309 238 201 163
123
295 229 193 157
119
282 218 184 149
113
268 208 176 143
108
254 197 167 136
103
239 186 158 128
97
226 176 149 121
92
211 164 140 114
87
197 154 131 107
82
183 143 122 100
76
169 133 113
93
71
156 123 105
86
66
143 113
97
79
60
131 104
89
73
56
121 96
82
68
52
112 89
76
62
48
104 83
70
58
44
96 76 66 54
41
90 71 61 50
38
84 67 57 47
36
78 62 53 43
34
74 58 50 41
32
70 55 47 39
30
66 52 44 36
28
61 49 42 34
26
58 47 39 33
25
55 43 37 31
23
41 36 30 22
28 21
2.51 9.36 7.16 6.02 4.86 3.66
14.9 48.3 38.2 32.7 26.8 20.6
2.43 2.27 2.31 2.33 2.35 2.37
38
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
6.625
Diameter
0.5 0.432 0.3750.312 0.28 0.25 0.188 0.125
32.7128.57 25.0321.0418.97 17.02 12.92 8.68
0.4650.403 0.3490.2910.261 0.233 0.174 0.116
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
373
326285239216 194146 98
370
324283238215 193145 97
366
321280235213 191144 96
361
316276233210 188142 95
354
310271229206 185140 94
346
304266223202 181137 92
337
295258218197 177133 90
327
287251212192 172130 87
316
277242205185 166126 85
304
267234198179 160122 82
291
256224190172 154116 78
277
245215181164 147112 75
264
233204173157 141107 72
250
220194164148 133102 69
235
208183156141 126 96 65
221
196173146132 120 91 61
206
183161138124 112 86 58
193
170150128116 105 79 54
179
159140120108 97 74 51
165
146130111101 91 70 48
151
13412010393 84 65 43
139 124
110
94
86
77
59
40
127 113
101
86
78
71
54
37
116
104927972 6550 34
107
95857367 6047 32
100
89786861 5542 29
92
83736257 5239 26
86
76685853 4837 25
79
71645450 4434 23
74
67595147 4132 22
70
62554843 3930 20
66
58524440 3729 19
61
55494238 3526 18
58
52463936 3325 17
55
49433734 3123 16
52
47413532 2922 15
393331 2821 15
20
14
9 7.88 6.885.79 5.22 4.68 3.53 2.37
42.9 38.3 34 29.1 26.5 23.9 18.4 12.6
2.18 2.2 2.22 2.24 2.25 2.26 2.28 2.3
39
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
6
0.50.3750.3120.280.250.1880.125
29.3722.53 18.9517.1115.35 11.67 7.84
0.4650.349 0.2910.2610.233 0.174 0.116
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
335256216195175131
331254214193173130
327251212191172129
322247208187168127
314241203184165124
306235198179161122
296228193174156118
285220185167150113
273211178161145109
260201170155139105
247192162147132100
233181154139125 95
219170145131118 90
204160136123111 84
190149127115104 78
176 138
118 107
96
73
162 127
109 98
89
68
148 118
101 91
83
62
134 107
92
84
75
58
1229784766953
1108876696248
1018069625743
927364575240
856858534837
786253494434
725750464032
675346413829
625042393528
584740363325
544337343123
514035322922
483833302621
3631282519
24 18
8.09 6.2 5.22 4.71 4.22
31.2 24.8 21.3 19.4 17.6
1.96 2 2.02 2.03 2.04
89
88
87
86
84
82
79
77
74
71
68
65
60
57
54
50
47
43
39
36
33
30
28
25
23
21
20
18
17
16
15
14
14
13
3.18 2.14
13.5 9.28
2.06 2.08
5.563
0.375 0.258 0.188 0.134
20.78 14.62 10.79 7.77
0.349 0.241 0.174 0.125
237 167 122
89
234 165 121
88
231 163 120
87
227 160 118
85
220 156 114
83
214 151 111
80
206 146 107
78
198 140 103
75
188 133
98
72
179 127
93
68
168 120
89
65
158 112
84
60
147 105
78
57
136977353
125906749
114836146
105755741
94695238
85614734
77564231
70513829
64473525
58423223
53393021
49362820
46332518
42312317
39292116
36262015
34241914
231813
12
5.72 4.03 2.95 2.14
19.5 14.3 10.7 7.9
1.85 1.88 1.91 1.92
40
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
5.5
5
0.5 0.3750.258 0.5 0.375 0.3120.258 0.25 0.188
26.7 20.5314.44 24.0318.52 15.6213.0712.68 9.66
0.465 0.349 0.241 0.4650.349 0.2910.2410.233 0.174
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
305 234 165
301 231 163
296 228 161
290 223 158
283 218 154
273 211 149
263 203 144
251 195 138
238 185 131
226 175 125
212 165 118
197 155 110
183 143 103
168 132
95
155 122
88
141 111
80
127 102
73
114
92
67
103
83
60
92 74 54
84 68 49
76 61 44
70 56 41
65 52 37
59 48 35
55 43 32
51 40 30
48 38 28
44 35 25
33 24
22
7.36 5.65 3.98
23.5 18.8 13.8
1.79 1.83 1.86
274 211 178149144 109
270 209 176147143 108
265 204 173144140 106
258 199 168141137 104
250 193 163137132 101
239 185 157131128 97
229 178 150126123 93
216 168 143120116 89
202 158 134113110 84
188 148 126106103 78
175 138
116
98
96
73
160 126
108
91
89
68
146115988482 62
131105907674 57
11995 826968 52
10585 736160 47
9375 655554 42
8367 584949 37
7460 524443 34
6854 474039 31
6150 423635 28
5646 393333 25
5141 363030 23
4738 332828 21
4335 302525 19
4032 282323 18
30 252221 17
20 20 16
6.62 5.1 4.3 3.6 3.49
17.2 13.9 12 10.2 9.94
1.61 1.65 1.67 1.68 1.69
2.64 1.78
7.69 5.31
1.71 1.73
41
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
4.5
0.125 0.337 0.237 0.1880.125
6.51 14.9810.79 8.66 5.84
0.116 0.315 0.221 0.1740.116
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
74 172 123
73 168 121
72 165 119
70 160 114
68 154 110
66 146 106
62 138 100
60 129 93
57 120 87
53 110 80
50 101 73
47 91 67
42 82 60
39 72 54
36 64 48
32 55 41
29 49 37
25 43 33
23 39 30
21 36 26
19 32 24
17 30 22
16 26 20
15 24 18
14
17
13
12
11
97
96
94
91
88
85
79
75
70
65
59
54
49
43
38
34
30
26
24
21
20
18
16
15
14
4.14 2.97 2.36
9.12 6.82 5.54
1.48 1.51 1.53
1.6
3.84
1.55
67
66
64
62
60
57
54
51
48
44
40
37
34
30
26
23
21
19
17
15
14
13
12
11
10
4
0.3130.25 0.2370.2260.22 0.1880.125
12.33 10.01 9.52 9.11 8.88 7.65 5.17
0.2910.233 0.2210.2110.205 0.174 0.116
141 114 108 104
101
87
59
138 112 106 102
98
85
57
133
109
10498968356
128
105
10095937954
122
1009591887652
115948986 84 7149
107888479 77 6746
98807773 72 6142
89737067 66 5639
80666460 59 5135
72595654 53 4632
64525048 47 4028
55464341 40 3524
48393836 35 3121
41343332 31 2619
36302928 26 2316
32262524 23 2115
29232322 21 1813
25212019 19 1712
23191818 17 1511
21171716 16 1410
191615151413 8
3.39 2.76 2.62 2.51 2.44
5.87 4.91 4.7 4.52 4.41
1.32 1.33 1.34 1.34 1.34
2.09 1.42
3.83 2.67
1.35 1.37
42
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
3.5
0.313 0.3 0.25 0.216 0.203 0.188 0.125
10.65 10.25 8.68 7.58 7.15 6.65 4.51
0.291 0.28 0.233 0.201 0.189 0.174 0.116
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
122
118988682 75 51
118
113968479 73 50
113
109938076 71 48
108
104887773 68 46
10197837269 64 43
9390766764 58 40
8582706057 54 37
7573625552 49 33
6765554946 43 30
5756484240 37 26
4948413735 33 22
4140353130 28 19
3534302625 23 17
3130252321 20 14
2625222019 18 13
2322201717 16 11
2120171615 14 10
1818161413 13 8
1716141312 11 7
7
2.93 2.83 2.39 2.08 1.97
3.81 3.7 3.21 2.84 2.7
1.14 1.14 1.16 1.17 1.17
1.82 1.23
2.52 1.77
1.18 1.2
43
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
3
0.25 0.2160.2030.1880.1520.134 0.125
7.346.42 6.065.654.62 4.1 3.84
0.2330.201 0.1890.1740.142 0.125 0.116
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
84
7369645347 42
80
7167615146 40
77
6764584943 39
72
6259554640 36
66
5754504137 34
58
5249443734 31
52
4642393330 26
44
3937342925 23
37
3332292422 20
31
2826242018 17
25
2221201715 14
21
1918171413 12
18
1616151211 10
16
1414131110 8
14
121211108 7
12 11
11 10
7
7
6
6 5
2.03 1.77 1.67 1.54 1.27
1.95 1.74 1.66 1.55 1.3
0.982 0.992 0.996 1 1.01
1.13 1.02
1.17 1.06
1.02 1.02
2.875
0.25 0.203 0.1880.125
7.01 5.79 5.4 3.67
0.233 0.189 0.174 0.116
79 666141
76 645840
72 595638
67 555236
60 514733
54 444229
47 393625
39 333122
33 282618
26 222115
22 191813
18 161511
16 14 13 8
14 12 11 7
12 10 10 6
6
1.93 1.59 1.48 1.01
1.7 1.45 1.35 0.958
0.938 0.952 0.957 0.976
44
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=46ksi
2.375
0.25 0.1880.125 0.25 0.218 0.1880.154 0.125
6.01 4.64 3.17 5.67 5.02 4.39 3.65 3
0.233 0.174 0.116 0.2330.2040.1740.1430.116
2.5
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
69
65
60
54
48
40
33
26
21
17
14
12
10
53
50
47
42
37
32
26
21
17
14
12
10
8
36
34
32
29
25
22
18
15
12
10
8
6
5
6557 504134
6054 473932
5650 433630
5044 383326
4238 342923
3632 282320
2925 231916
2220 181513
1816 141211
15 13 12 10 8
12 11 10 8 6
10 10 8 6 5
00 655
1.66 1.27 0.87 1.57 1.39 1.2 1 0.82
1.08 0.865 0.619 0.91 0.827 0.7330.627 0.527
0.806 0.825 0.844 0.762 0.771 0.7810.791 0.8
1.9
1.66
0.145
2.72
0.135
0.14
2.27
0.13
31
29
24
21
17
13
10
7
5
4
0
0
0
25
22
19
15
12
8
6
4
3
0
0
0
0
0.75
0.293
0.626
0.62
0.184
0.543
45
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Diameter
20
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
18
0.5 0.375
104.13 78.6
0.465 0.349
0.5 0.375
93.45 70.59
0.465 0.349
16
0.5 0.438 0.3750.312
82.77 72.8 62.58 52.28
0.465 0.407 0.349 0.291
1281
1281
1281
1281
1271
1271
1271
1260
1260
1249
1249
1239
1239
1228
1218
1207
1207
1196
1186
1175
1165
1154
1144
1133
1122
1101
1091
1080
1069
1051
1038
1023
1009
994
979
964
949
933
917
901
1154
1154
1154
1144
1144
1144
1133
1133
1122
1122
1112
1112
1101
1091
1080
1069
1069
1055
1044
1032
1021
1009
996
984
971
957
943
930
915
900
885
870
854
840
824
808
792
776
759
743
1022
1020
1019
1015
1012
1009
1004
998
993
987
979
971
962
954
944
934
923
913
900
888
876
863
849
835
822
807
792
777
761
745
731
715
698
682
666
649
633
617
600
584
968
967
966
965
962
960
957
954
951
947
942
938
933
928
921
915
908
901
895
886
879
870
862
853
844
835
825
815
806
795
785
774
763
752
741
730
718
706
695
683
28.5 21.5
1360 1040
6.91 6.95
874
872
870
869
867
865
862
858
854
850
845
840
834
828
822
814
808
799
792
784
775
766
757
748
737
727
717
706
696
684
673
662
650
638
627
615
602
591
578
566
25.6 19.4
985 754
6.2 6.24
896
895
893
890
887
884
880
876
870
865
859
852
845
836
828
820
810
800
790
779
769
757
745
734
721
708
696
682
669
655
642
628
614
599
586
572
557
543
528
515
774
773
772
770
768
764
761
757
753
748
742
737
731
723
717
708
701
692
684
674
665
655
645
635
624
613
602
591
579
568
556
544
532
520
507
496
483
471
458
446
648
647
646
645
643
641
637
634
630
626
622
617
612
606
600
594
587
580
573
565
557
550
541
533
523
515
505
496
486
476
467
456
447
436
427
416
406
396
385
375
22.7 19.9 17.2 14.4
685 606 526 443
5.49 5.51 5.53 5.55
14
0.5 0.3750.312
72.09 54.57 45.61
0.465 0.349 0.291
892
889
887
884
881
877
871
865
859
851
843
834
825
814
804
792
780
768
755
741
727
714
699
684
669
653
637
622
606
590
573
557
541
524
508
491
475
460
444
428
676
673
672
670
667
664
661
655
651
645
640
632
626
618
610
601
593
583
574
563
553
542
532
521
509
498
486
474
462
450
437
426
413
400
389
376
364
352
340
328
562
561
560
558
556
554
551
546
542
538
533
527
522
516
508
502
494
487
479
470
462
453
444
435
426
416
406
396
386
376
366
356
345
336
325
314
305
294
285
275
19.8 15 12.5
453 349 295
4.79 4.83 4.85
46
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
12.75
0.5 0.3750.25
65.42 49.56 33.38
0.465 0.349 0.233
10.75
0.5 0.3750.25
54.74 41.59 28.04
0.465 0.34 0.233
10
0.625 0.5 0.375 0.312 0.25 0.188
62.5850.73 38.5532.2826.03 19.7
0.5810.465 0.3490.2910.233 0.174
806
804
802
798
794
790
784
777
770
762
753
743
733
722
710
699
686
672
659
645
630
615
600
584
569
553
537
521
504
488
472
455
439
424
408
392
376
361
345
330
676
672
670
666
662
656
649
642
633
624
613
602
590
578
564
551
537
522
507
491
475
460
444
427
411
395
378
362
346
330
314
300
284
269
254
240
228
216
205
195
774626 478399322 241
771624 475398321 240
768620 473396319 239
762616 470394318 238
756611 466391314 236
749605 462386311 234
739598 456382308 232
728590 450377304 229
717580 444372300 226
704571 436365294 221
690559 428359289 217
676547 418352284 213
660536 410343277 209
644522 399336271 203
626508 389327264 198
608494 378318256 193
589480 367308249 187
570464 356299241 182
551449 344289234 176
530433 332280226 170
510416 320269218 164
490400 308259210 158
470384 295249201 152
449367 283238194 146
429352 271229185 140
409336 258218177 133
389320 247209168 128
370304 235198161 122
350288 222188152 115
331273 211179145 110
312258 200169138 104
294244 188160130 98
276229 178150123 93
260216 167142115 88
246203 158133109 83
232193 149126103 78
220 182 141 120 97 74
209 173 133 113 92 70
198 164 127 108 88 67
188 156 121 103 84 64
612
611
609
607
604
600
596
591
586
579
573
565
558
550
541
533
523
512
503
492
481
470
458
447
435
424
411
399
386
374
362
349
338
325
313
302
290
278
267
255
412
411
410
409
407
404
401
398
395
391
386
381
377
371
365
359
353
346
340
332
325
318
310
303
294
287
278
271
263
254
246
238
230
221
214
205
198
190
182
175
17.9 13.6 9.16
339 262 180
4.35 4.39 4.43
500
498
496
493
490
486
481
475
469
462
454
447
438
429
419
410
399
389
377
366
355
343
331
319
307
295
284
271
259
248
236
226
214
203
193
182
173
163
155
147
346
345
344
342
340
337
334
330
326
321
316
310
305
299
292
285
278
271
264
255
248
239
232
223
215
208
199
191
183
175
167
159
151
144
137
129
122
115
110
105
15 11.1 7.7
199 151 106
3.64 3.68 3.72
17.2 13.9 10.6 8.88 7.15
191 159 123 105 85.3
3.34 3.38 3.41 3.43 3.45
5.37
64.8
3.47
47
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
9.625
0.5 0.3750.312 0.25 0.188
48.7337.0531.0325.0318.95
0.4650.3490.2910.2330.174
8.625
0.5 0.3750.322 0.25 0.188
43.3933.0428.5522.3616.94
0.4650.349 0.3 0.2330.174
604460 384309233
600457 382308232
597455 380306231
593452 378305229
588448 375302228
581443 371299224
574437 366295222
565431 361291219
556424 355286216
545416 348281212
534408 342275208
522399 334269203
509389 326263198
496379 318256194
481368 309250188
467357 300242183
451346 290235177
435335 281227172
420322 271219165
403310 260211160
388299 251203154
371286 240195147
355273 230186141
339262 220178136
322249 210170129
306237 200162123
290224 190155116
274213 180146111
259201 170139105
245191 161131100
230 179 151 124 94
216 168 142 116 88
202 158 133 109 83
191 149 126 103 78
180 141 119 97 74
170 132 112 92 70
161 126 107 87 66
152 120 101 83 62
145 113 95 78 59
138 108 91 74 56
536408 354276208
533407 352275206
529403 349273205
525400 346271204
519396 343268202
511391 338265199
503384 332260196
494377 327256193
484370 320251188
472361 313246185
460352 305239180
447342 296233176
433331 288226170
418321 278219165
403310 269211160
388299 259203154
372286 249196148
356274 238187142
340263 229180136
323250 218172130
307237 208163124
291226 197155118
275213 186147111
259201 176139106
244190 166131100
229 178 156 123 94
214 167 146 115 88
199 156 137 108 83
185 145 127 101 77
174 136 119 94 72
162 127 111 89 68
152 120 105 83 64
143 112 98 78 59
134 106 93 73 56
127 100 88 70 53
121 94 83 66 50
114 89 78 62 48
108 85 74 59 44
103 80 71 56 42
9776 675340
13.4 10.2 8.53 6.87 5.17
141 110 93 75.9 57.7
3.24 3.28 3.3 3.32 3.34
11.9 9.07 7.85 6.14 4.62
99.5 77.8 68.1 54.1 41.3
2.89 2.93 2.95 2.97 2.99
48
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
7.625
0.375 0.328
29.04 25.56
0.349 0.305
7.5
0.5 0.3750.312 0.25 0.188
37.3828.5423.9519.3614.68
0.4650.3490.2910.2330.174
359
357
354
350
345
339
332
324
316
307
296
286
275
264
252
239
228
215
203
191
179
167
156
144
133
123
114
106
100
92
87
82
76
72
68
65
60
58
55
52
464353 296239180
461350 294238179
456347 292236178
451344 289233176
445339 285230173
436332 280226170
427325 274221166
416318 268216163
403309 260211159
391300 252204154
377289 244197149
363278 235191144
348267 226183138
332255 216175132
317244 206167126
300232 196159121
284219 185151114
268208 176143108
251195 165134102
235 183 156 127 96
219 170 145 119 90
203 159 136 111 85
188 148 126 103 78
174 137 116 95 73
160 126 108 88 68
148 116 100 82 62
138 108 92 75 58
128 101 86 70 54
120 93 79 66 50
111 88 75 61 47
104 82 70 57 43
9777 665441
9272 615139
8768 584836
8265 554634
7760 524233
7357 494031
7054 473830
6652 443628
6249 423526
316
313
311
308
303
299
292
285
277
270
260
252
242
232
221
211
200
190
179
168
158
147
138
128
118
109
102
94
88
82
77
72
68
64
60
57
54
51
49
47
7.98 7.01
52.9 47.1
2.58 2.59
10.3 7.84 6.59 5.32 4
63.9 50.2 42.9 35.2 26.9
2.49 2.53 2.55 2.57 2.59
49
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Diameter
6.875
0.5 0.3750.3120.25 0.188 0.125 0.5 0.3750.312 0.25 0.188
34.7126.53 22.2918.0213.68 9.18 34.0426.0321.8717.6913.43
0.4650.349 0.2910.2330.174 0.116 0.4650.3490.2910.2330.174
7
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
430328 276222168 113
427325 274221166 112
422323 271219165 111
416319 268216163 110
410312 264213161 108
400306 258209158 106
391299 252203154 104
379290 245198149 101
366281 237192145 97
354271 229185140 94
339260 220178134 91
324249 211170129 88
309237 201163124 84
293226 191156118 79
276214 181147111 75
260201 170139106 72
245190 161130100 68
228 177 150 123 93 64
212 165 140 114 87 59
197 154 130 107 82 55
181 142 121 98 75 52
166 130 111 91 70 48
152 120 102 84 65 44
140 110 94 77 59 40
129 101 87 71 54 37
120 93 79 66 50 34
110 87 74 60 47 32
103 80 69 56 43 30
9675 655340 28
9070 605038 25
8466 564735 24
7861 534333 22
7458 504031 21
7055 473830 20
6652 443628 19
6249 413426 18
5947 393324 17
5643 373123 16
0 41 36 30 22 15
0 0 0 0 21 15
9.55 7.29 6.13 4.95 3.73
51.2 40.4 34.6 28.4 21.7
2.32 2.35 2.37 2.39 2.41
421322 271219165
418320 269217163
414317 266215162
408312 263212160
400307 258209157
392300 253204154
381292 247199150
370284 239194146
357274 232187142
343265 223181137
329254 214174131
313242 205166126
299231 195159120
283219 185150114
266206 175143108
250195 165134102
233 182 155 126 95
217 170 144 118 90
201 158 134 110 84
186 146 125 102 77
172 134 115 94 72
157 124 106 87 67
143 113 97 79 61
131 104 89 73 56
121 96 82 68 52
112 89 76 62 48
104 83 70 58 44
9676 665441
9071 615038
8467 574736
7862 534334
7458 504132
7055 473930
6652 443628
6149 423426
5847 393325
5543 373123
0 41 36 30 22
0 28 21
2.51 9.36 7.16 6.02 4.86 3.66
14.9 48.3 38.2 32.7 26.8 20.6
2.43 2.27 2.31 2.33 2.35 2.37
50
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Diameter
6.625
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0.5 0.432 0.3750.312 0.28 0.25 0.188 0.125
32.7128.57 25.0321.0418.97 17.02 12.92 8.68
0.4650.403 0.3490.2910.261 0.233 0.174 0.116
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
406355 309260235 211 159 107
401352 307258233 209 158 106
397347 304255231 206 156 105
391342 300252228 203 154 104
383336 293247223 200 151 102
374328 287241218 196 147 100
363319 278235212 191 144 96
352308 270228205 184 140 94
339298 260220198 178 134 91
324285 250211191 172 130 88
310272 239202182 164 124 84
294259 228193174 157 119 80
278246 216183165 148 113 76
263232 203173157 141 107 72
246217 192162147 132 101 68
230203 179152138 124 94 65
214190 167142129 116 89 60
198176 155132120 108 83 56
182162 143122111 101 76 52
167148 131112103 92 71 48
152
136
121
10494856544
139
124
110
9486775940
127
113
101
8678715437
116
104927972655034
10795857367 60 4732
10089786861 55 4229
9283 736257 52 39 26
8676 685853 48 37 25
7971 645450 44 34 23
7467 595147 41 32 22
7062 554843 39 30 20
6658 524440 37 29 19
6155 494238 35 26 18
5852 463936 33 25 17
5549 433734 31 23 16
5247 413532 29 22 15
393331282115
20
14
9 7.88 6.885.79 5.22 4.68 3.53 2.37
42.9 38.3 34 29.1 26.5 23.9 18.4 12.6
2.18 2.2 2.22 2.24 2.25 2.26 2.28 2.3
51
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
6
0.50.3750.3120.280.250.1880.125
29.3722.53 18.9517.1115.35 11.67 7.84
0.4650.349 0.2910.2610.233 0.174 0.116
5.563
0.375 0.258 0.188 0.134
20.78 14.62 10.79 7.77
0.349 0.241 0.174 0.125
364280 235212190 143 96
360276 233210188 142 95
355272 230208185 140 94
348268 226203182 138 92
340262 220199178 134 91
330254 214194174 131 88
319246 208187167 127 86
306236 199180162 122 83
291226 191173155 118 79
276215 181164147 111 75
262203 172156140 106 72
246191 162147132 101 68
229179 151138124 94 64
213166 142128115 88 59
197155 131120108 82 56
180142 122110100 76 52
165
130
111
102917048
149
119
102
92846443
136
1089285765840
122978476695336
110887669624833
101806962574330
9273 645752 40 28
8568 585348 37 25
7862 534944 34 23
7257 504640 32 21
6753 464138 29 20
6250 423935 28 18
5847 403633 25 17
5443 373431 23 16
5140 353229 22 15
4838 333026 21 14
363128251914
241813
257 181 132 96
254 179 131 95
250 177 129 94
245 173 127 92
238 168 124 90
231 163 120 87
221 157 115 84
212 150 110 80
200 143 105 76
190 134 100 72
178 126 93 68
165 119 88 64
154 110 82 59
141 102 75 55
129 93 69 51
118 85 64 47
106 76 57 42
95 69 52 38
85 61 47 34
77 56 42 31
70 51 38 29
64 47 35 25
58 42 32 23
53 39 30 21
49 36 28 20
46 33 25 18
42 31 23 17
39 29 21 16
36 26 20 15
34 24 19 14
23 18 13
12
8.09 6.2 5.22 4.71 4.22
31.2 24.8 21.3 19.4 17.6
1.96 2 2.02 2.03 2.04
5.72 4.03 2.95
19.5 14.3 10.7
1.85 1.88 1.91
3.18 2.14
13.5 9.28
2.06 2.08
2.14
7.9
1.92
52
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
5.5
5
0.5 0.3750.258 0.5 0.375 0.3120.258 0.25 0.188
26.7 20.5314.44 24.0318.52 15.6213.0712.68 9.66
0.465 0.349 0.241 0.4650.349 0.2910.2410.233 0.174
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
331 254 179
327 251 177
322 247 175
314 241 170
305 235 166
294 227 161
282 218 155
268 208 147
254 197 140
238 185 132
222 174 124
206 162 115
191 149 107
174 138 98
158 125 90
143 113 83
128 103 74
114 92 67
103 83 60
92 74 54
84 68 49
76 61 44
70 56 41
65 52 37
59 48 35
55 43 32
51 40 30
48 38 28
44 35 25
33 24
22
298230 194162157 119
293226 191160155 118
287221 187157151 115
280216 182152148 112
269209 176147143 109
257200 169142138 105
245190 161134131 100
230179 152128124 94
214167 143120116 89
198156 132111109 83
182144 123103101 77
166 131 112 94 92 71
150 120 103 86 85 65
134 108 92 78 76 58
120 96 83 70 69 53
105 85 73 62 61 48
9375 655554 42
8367 584949 37
7460 524443 34
6854 474039 31
6150 423635 28
5646 393333 25
5141 363030 23
4738 332828 21
4335 302525 19
4032 282323 18
30 25 22 21 17
20 20 16
7.36 5.65 3.98
23.5 18.8 13.8
1.79 1.83 1.86
6.62 5.1 4.3 3.6 3.49
17.2 13.9 12 10.2 9.94
1.61 1.65 1.67 1.68 1.69
2.64
7.69
1.71
53
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
4.5
Diameter
0.1250.3370.2370.1880.125
6.51 14.9810.79 8.66 5.84
0.1160.3150.2210.1740.116
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
8018613310672
7918313110571
7717912810269
76 173 124 98 67
73 165 119 95 65
71 157 113 90 61
68 147 107 85 58
64 137 100 79 54
60 126 92 74 51
56 115 85 68 47
52 104 76 61 42
4993 695538
4483 615034
4073 544431
3664 483826
3355 413423
2949 373021
2543 332619
2339 302417
2136 262115
1932 242014
1730 221813
1626 201612
1524 181511
14
17 14 10
13
12
11
4
0.3130.25 0.2370.2260.22 0.1880.125
12.33 10.01 9.52 9.11 8.88 7.65 5.17
0.2910.233 0.2210.2110.205 0.174 0.116
152124 118113110 94 64
149122 115110107 92 62
144118 112107104 89 60
139113 107103100 86 58
131
107
102
97958255
123
1019591897652
113938985837149
104858277756544
9376 737068 59 40
8469 666261 53 36
7360 585554 47 33
6453 514948 41 29
5546 434240 35 24
4839 383635 31 21
4134 333231 26 19
3630 292826 23 16
3226 252423 21 15
2923 232221 18 13
2521 201919 17 12
2319 181817 15 11
2117 171616 14 10
1916 151514 13 8
1.78 4.14 2.97 2.36 1.6
3.39 2.76 2.62 2.51 2.44
5.31 9.12 6.82 5.54 3.84
5.87 4.91 4.7 4.52 4.41
1.73 1.48 1.51 1.53 1.55 1.32 1.33 1.34 1.34 1.34
2.09 1.42
3.83 2.67
1.35 1.37
54
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
3.5
0.313 0.3 0.25 0.216 0.203 0.188 0.125
10.65 10.25 8.68 7.58 7.15 6.65 4.51
0.291 0.28 0.233 0.201 0.189 0.174 0.116
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
132
127
108
93898255
128
123
104
91867954
123
119
101
87837652
115
1129583787350
108
1048977736847
9895 827167 62 42
8986 736560 56 39
7876 665754 51 35
6966 575048 44 31
5856 494341 38 26
5048 413735 33 23
4140 353130 28 19
3534 302625 23 17
3130 252321 20 14
2625 222019 18 13
2322 201717 16 11
2120 171615 14 10
1818 161413 13 8
1716 141312 11 7
7
2.93 2.83 2.39 2.08 1.97
3.81 3.7 3.21 2.84 2.7
1.14 1.14 1.16 1.17 1.17
1.82 1.23
2.52 1.77
1.18 1.2
55
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy=50ksi
3
0.25 0.2160.2030.1880.1520.134 0.125
7.346.42 6.065.654.62 4.1 3.84
0.2330.201 0.1890.1740.142 0.125 0.116
Diameter
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
2.875
0.25 0.203 0.1880.125
7.01 5.79 5.4 3.67
0.233 0.189 0.174 0.116
9179 756957 51 46
8876 726755 49 44
8372 696452 47 42
7667 645849 43 39
7061 575344 39 36
6154 514839 35 32
5448 444135 31 28
4640 383530 26 24
3834 323024 22 20
3128 262420 18 17
2522 212017 15 14
2119 181714 13 12
1816 161512 11 10
1614 141311 10 8
1412 121110 8 7
12
11
11
10776
65
87 72 67
83 69 64
78 65 60
72 59 55
65 54 50
56 47 44
49 40 38
40 34 32
33 28 26
26 22 21
22 19 18
18 16 15
16 14 13
14 12 11
12 10 10
2.03 1.77 1.67 1.54 1.27
1.95 1.74 1.66 1.55 1.3
0.982 0.992 0.996 1 1.01
1.93 1.59 1.48 1.01
1.7 1.45 1.35 0.958
0.938 0.952 0.957 0.976
1.13 1.02
1.17 1.06
1.02 1.02
46
43
41
38
35
31
26
22
19
15
13
11
8
7
6
6
56
HSS/ROUND (ERW) FOR LRFD COLUMNS
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Diameter
2.5
2.375
0.25 0.1880.125 0.25 0.218 0.1880.154 0.125
6.01 4.64 3.17 5.67 5.02 4.39 3.65 3
0.233 0.174 0.116 0.2330.2040.1740.1430.116
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In .2
1, In .4
r, I n.
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
75 57
70 54
65 50
57 44
50 39
41 33
34 26
26 21
21 17
17 14
14 12
12 10
10 8
39
37
34
31
28
23
19
15
12
10
8
6
5
5
7162 544637
6658 514235
6053 473932
5347 413429
4440 353024
3733 292420
2926 232017
2220 181513
1816 141211
15 13 12 10 8
12 11 10 8 6
10 10 8 6 5
6 5 5
1.66 1.27 0.87 1.57 1.39 1.2 1 0.82
1.08 0.865 0.619 0.91 0.827 0.7330.627 0.527
0.806 0.825 0.844 0.762 0.771 0.7810.791 0.8
1.9
1.66
0.145
2.72
0.135
0.14
2.27
0.13
34
31
26
22
17
13
10
7
5
4
28
24
20
16
12
8
6
4
3
0.75
0.293
0.626
0.62
0.184
0.543
57
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
20x12
5/8 1/2
3/8
5/16
127 103 78.5 65.9
0.581 0.465* 0.349* 0.291 *
5/8 1/2 3/8 5/16
110.36 89.68 68.31 57.36
0.581 0.465* 0.349*0.291*
1/2 3/8 5/16
76.07 58.10 48.86
0.465* 0.349* 0.291*
1450
1447
1444
1440
1435
1430
1420
1410
1400
1390
1380
1370
1350
1340
1320
1310
1290
1270
1250
1240
1220
1190
1170
1150
1130
1110
1080
1060
1040
1010
988
963
939
914
889
864
840
815
790
766
1111
1111
1110
1107
1104
1100
1100
1090
1090
1080
1070
1070
1060
1050
1040
1030
1020
1010
997
985
972
959
945
931
916
901
882
864
845
826
806
787
767
747
727
708
688
668
648
629
1254
1250
1245
1237
1227
1216
1202
1187
1169
1150
1129
1107
1083
1058
1032
1004
976
947
917
886
855
824
792
761
729
697
666
635
604
574
545
516
487
459
433
409
387
367
349
331
959
957
954
950
945
938
931
922
913
902
890
877
863
847
831
814
796
775
751
727
702
677
652
627
601
576
551
526
501
477
453
430
407
384
362
342
324
307
292
277
627
626
624
622
619
616
612
607
602
596
590
583
575
567
558
549
539
529
518
507
495
482
469
456
442
428
413
398
383
367
351
334
317
300
283
268
254
240
228
217
806 515
799 512
790 507
777 501
760 493
740 483
716 471
688 458
655 443
614 426
571 407
528 387
484 365
442 341
400 315
359 289
320 260
286 232
256 208
231 188
210 170
191 155
175 142
161 130
148 120
137 111
127 103
118 96
383
381
378
374
369
362
355
346
337
326
314
301
287
271
255
237
219
199
178
161
146
133
122
112
103
95
88
82
77
35
1880
851
1.49
4.93
28.3 21.5
1550 1200
705 547
1.48 1.48
4.99 5.04
30.3
1440
338
2.06
3.34
24.6
1190
283
2.05
3.39
18.7
926
222
2.04
3.44
20.9
838
59
3.77
1.68
13.4
560
41
3.69
1.75
743
742
742
740
739
737
734
731
728
725
721
717
712
707
702
696
690
684
677
670
663
656
648
639
631
622
613
604
594
584
574
563
553
542
531
519
508
496
484
472
563
563
562
561
560
560
558
557
555
553
551
549
546
543
540
537
534
530
526
522
518
513
509
504
497
491
485
478
471
464
457
449
442
434
426
418
409
401
392
384
18.1
1010
464
1.48
5.07
20x4
20x8
478
477
476
475
473
470
468
465
461
457
453
448
443
437
431
425
418
411
404
396
388
379
370
361
352
342
332
322
311
300
289
277
266
254
242
229
217
205
195
185
15.7
786
189
2.04
3.47
16.0
657
48
3.71
1.73
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
58
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
18x6
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
16x12
5/8 1/2 3/8 5/16
1/4
93.34 76.07 58.10 48.86 39.43
0.581 0.465* 0.349*0.291* 0.233*
5/8
1/2
3/8
5/16
110 89.7 68.3 57.4
0.581 0.465 0.349*0.291*
1064 858 563 425 302
1057 854 561 424 301
1049 850 559 422 300
1038 843 555 420 299
1023 833 550 417 297
1005 819 545 413 295
985803 538409292
962785 531404289
937765 522398285
909744 512392281
879720 502385277
848696 490377272
815670 478369267
781643 465360262
747616 450351256
711587 435341250
675559 420330243
639530 403319236
603501 385307229
567472 367295222
531444 348282214
496416 328269205
462389 307255197
429362 286241188
397336 267227179
367310 247212169
340288 229196160
316268 213183149
295250 199170139
276233 186159130
258218 174149122
242205 163140114
228193 153132108
215182 145124101
202 171 136 117 96
191 162 129 110 90
181 153 122 105 86
172 145 116 99 81
163 138 110 94 77
155 131 104 90 73
1250
1250
1250
1246
1241
1240
1230
1220
1210
1200
1190
1180
1170
1160
1140
1130
1110
1090
1080
1060
1040
1020
1000
985
965
944
923
902
881
859
837
816
794
772
750
727
705
684
662
640
1020
1017
1015
1012
1008
1000
998
992
985
978
969
960
950
940
929
917
905
892
878
864
850
835
820
804
788
772
755
738
721
704
687
669
652
634
616
599
581
563
546
528
720
719
718
717
715
712
710
706
703
699
694
689
684
678
672
665
658
651
644
635
627
618
609
600
590
580
570
559
548
537
525
513
500
487
473
460
447
433
420
407
25.7
923
158
2.42
2.48
30.3
1090
700
1.25
4.8
24.6
904
581
1.25
4.86
18.7
702
452
1.25
4.91
20.9
770
134
2.40
2.53
16.0
602
106
2.38
2.58
13.4
513
91
2.37
2.61
10.8
419
75
2.37
2.63
547
547
546
545
544
543
541
540
537
535
533
530
527
524
520
516
512
508
504
499
494
489
482
475
468
461
454
446
438
430
422
414
405
396
387
378
369
360
350
341
15.7
595
384
1.24
4.94
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
59
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
14x10
1/2
3/8
5/16
1/4
1/2 3/8 5/16 5/8
62.46 47.90 40.35 93.3 76.1 58.1 48.9 39.4
0.465 0.349*0.291* 0.581 0.465 0.349*0.291* 0.233*
16x8
5/8
1/2
3/8
5/16
93.3 76.1 58.1 48.9
0.581 0.465 0.349*0.291*
16x4
1060
1060
1055
1049
1040
1030
1020
1000
989
972
954
934
913
891
868
844
819
793
767
741
714
686
659
631
604
577
550
523
497
471
446
421
396
373
352
333
315
299
283
269
865
862
858
853
846
838
829
818
806
792
778
762
746
728
710
691
671
651
630
609
587
565
544
522
500
478
456
434
413
392
372
352
332
313
295
279
264
250
238
226
609
607
605
602
599
595
590
585
579
572
564
556
547
537
527
516
505
493
480
467
453
438
422
405
389
372
356
339
323
307
292
277
262
247
233
220
208
197
187
178
712
702
690
673
651
626
598
567
534
499
463
427
390
355
320
286
254
227
204
184
167
152
139
128
118
109
101
492 371 1060 865 649 505 356
488 368 1060 863 648 504 356
483 365 1058 861 647 503 356
475 360 1054 857 644 502 355
466 354 1048 853 642 500 354
454 346 1040 847 639 497 353
440 337 1030 840 635 495 351
425 327 1020 833 630 492 350
407 316 1010 825 625 488 348
388 303 1000 815 620 484 346
988805 613480344
366 289 974794 607475342
339 274 960783 599470339
312 257 944770 591464336
285 239 927757 581459333
259 221 910743 571452330
234 201 892729 560446326
210 180 873714 549439323
187 161 853698 537431319
168 144 833682 525424315
151 130 812666 513416310
137 118 791649 500408306
125 108 770632 488399301
114 99
748615 475390295
105 90
726597 461381289
97 83
704579 448372282
90 77
681561 434362276
83 71
659543 421353269
77 66
636525 407343263
614507 393332256
591489 380321249
569471 366309242
547453 353298234
525436 339287227
503418 326276219
482401 313265212
461384 300254204
440367 287243196
420351 275233189
399334 262223181
25.7
815
274
1.72
3.27
20.9
679
230
1.72
3.32
16
531
181
1.71
3.37
17.2
455
47
3.12
1.65
13.2
360
38
3.06
1.71
466
465
464
462
460
457
454
450
446
441
436
430
424
418
411
403
395
387
378
369
360
350
340
329
319
307
296
284
273
260
248
235
223
210
198
188
178
168
160
152
13.4
451
155
1.71
3.40
11.1
308
33
3.05
1.73
25.7
687
407
1.30
3.98
20.9
573
341
1.29
4.04
16
447
267
1.29
4.09
13.4
380
227
1.29
4.12
10.8
310
186
1.29
4.14
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
60
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
14x6
5/8 1/2 3/8 5/16
1/4 3/16
76.3362.46 47.9040.3532.63 24.73
0.581 0.465 0.349*0.291* 0.233* 0.174*
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
869712 533410295 192
864708 531408294 191
857702 528406293 190
847694 524403291 189
834685 518399288 188
820673 511395286 187
802659 504390282 185
783644 495384278 183
761627 483377274 180
738608 470369269 178
713589 455361264 175
686568 439352259 172
659546 423342252 168
630523 406331246 165
601500 389320239 161
571476 371308231 157
541452 353296224 152
511427 335283215 148
481403 316268207 143
451379 298253198 138
422356 280238189 133
393332 263223179 128
365310 245209169 122
338287 229195159 116
311266 212181149 111
288246 196168138 105
267228 182155128 99
248212 169144119 92
231197 158135111 86
216184 147126104 80
202 173 138 118 97 75
190 162 129 111 91 71
179 152 122 104 86 66
168 144 115 98 81 62
159 135 108 92 76 59
150 128 102 87 72 56
142 121 97 83 68 53
135 115 92 78 65 50
128 109 87 74 62 47
122 104 83 71 58 45
21.0
478
124
1.96
2.43
17.2
402
105
1.95
2.48
13.2
317
84
1.94
2.53
11.1
271
72
1.94
2.55
9.0
222
60
1.93
2.58
6.8
170
46
1.92
2.61
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
61
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
14x4
5/8 1/2 3/8 5/16
1/4 3/16
67.8255.66 42.7936.1029.23 22.18
0.581 0.465 0.349*0.291* 0.233* 0.174*
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
774633 475361256 163
762624 471358255 162
748613 465354252 161
728598 457349249 159
703579 446342245 157
674556 432334240 154
642531 414324234 151
606503 393313228 148
568473 371301220 144
528442 348287212 140
487410 324272202 135
446377 300255193 130
405345 275236182 124
365313 251216170 118
327282 228197158 112
290252 205178145 105
257223 183159132 98
229199 163142118 90
205179 146128106 83
185 161 132 115 95 74
168 146 120 104 86 68
153 133 109 95 79 62
140 122 100 87 72 56
129 112 92 80 66 52
119 103 85 74 61 48
110 96 78 68 56 44
89 73 63 52 41
67 59 49 38
45 35
18.7
373
47
2.81
1.59
15.3
317
41
2.77
1.64
11.8
252
34
2.74
1.69
9.9
216
29
2.72
1.72
8.0
178
24
2.71
1.74
6.1
137
19
2.68
1.77
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
62
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
12x10
1/2
3/8
5/16 1/4
69.3 53 44.6 36
0.465 0.349 0.291*0.233*
5/8
1/2
3/8
5/16
1/4
3/16
76.362.5 47.940.432.6 24.7
0.581 0.465 0.3490.291*0.233* 0.174*
787
785
782
779
775
770
763
756
749
739
730
720
708
697
685
671
658
644
629
614
599
583
568
551
535
518
502
485
468
451
434
418
401
385
369
354
338
322
307
292
604
603
601
599
595
591
587
582
576
569
562
554
546
537
528
518
508
498
486
475
464
451
439
427
415
402
390
377
364
352
339
326
314
302
289
277
265
253
242
230
491
490
489
487
485
482
479
476
472
468
463
458
452
446
440
433
425
417
408
398
389
379
369
359
349
338
328
317
307
296
286
275
265
254
244
234
224
214
205
195
869712 546445327 204
866709 545444326 204
862706 542442325 203
856701 539440324 203
849696 534437322 202
840688 529434320 201
829680 523430317 200
817671 516425314 199
804660 508420311 197
789648 499415307 196
773636 490408303 194
756622 480401298 192
738607 469394294 190
719592 458386288 188
699576 446376283 186
678560 433365277 183
657543 421355271 180
635525 407344265 177
613507 394333258 174
590489 380321251 171
567470 367310244 167
544452 352298236 164
520433 338286228 160
497414 324274220 156
474396 310263212 151
451377 296251204 146
429359 282239195 141
406341 269228186 136
385323 255217177 130
363306 242205168 125
342289 229194159 120
321272 216184151 114
302255 203173142 109
285241 192163134 103
269227 181154126 97
254215 171145120 91.8
240203 162138113 87
228193 153131107 82.4
216183 146124102 78
206 174 138 118 96.8 74.4
19
395
298
1.15
3.96
14.6
310
234
1.15
4.01
12.2
264
200
1.15
4.04
351
351
350
350
349
347
346
344
342
340
337
335
332
329
325
322
318
314
309
305
300
294
288
282
275
268
261
254
247
240
232
224
217
208
200
192
184
176
168
161
9.9
216
164
1.15
4.07
12x8
9.9
216
164
1.37
3.16
21
397
210
1.37
3.21
13.211.1 8.96
262 224 184
140 120 98.8
1.37 1.37 1.36
3.27 3.29 3.32
6.76
140
75.7
1.36
3.35
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
63
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
12x4
12x6
1/2 3/8 5/16
1/4 3/16
5/8
1/2
3/8
5/16
1/4
3/16 5/8 67.856.7 42.836.129.2 22.2 59.3248.85 37.6931.8425.82 19.63
0.581 0.465 0.3490.291*0.233* 0.174* 0.581 0.465 0.3490.291*0.233* 0.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
774633 489396288 189
769629 485394287 188
762624 482392286 187
753617 476389284 186
742608 470385281 185
728597 462380278 183
712585 453374274 181
695571 442367270 179
675555 430360265 176
653538 418352260 173
631520 404341254 170
606501 390330248 166
581481 375317241 162
555460 360305234 158
529439 344291226 154
502418 327278218 150
474396 311264209 145
447374 294251200 140
420352 278237191 134
393330 262223182 129
366309 245210171 123
341288 229196161 118
316268 214183150 112
291248 199171140 105
268229 184158130 99.2
248211 170146120 92.8
230196 157136111 86.1
241182 146126104 80.1
199 170 136 118 96.6 74.7
186 159 128 110 90.3 69.8
174 149 119 103 85 65
164 140 112 96.5 79.4 61.3
154 131 105 91 75 58
145 124 99.3 85.5 70.3 54.3
137 117 94 81 66 51
129 110 88.6 76.3 62.7 48.5
122 104 84 72 59 46
116 99 79 68 56 43
110 94 75 65 53 41
89.3 71.761.8 50.8 39.2
679559 431348250 160
668551 425345248 159
655541 417341245 158
638527 407335242 156
615510 395327237 154
589489 380318232 151
560466 363307225 147
528441 345293218 143
494414 325276209 139
458386 304259200 134
422358 283242190 129
386328 261224179 123
349300 239206167 117
314271 218188155 110
280244 197171141 103
248217 177154127 96
219192 157137114 88
196172 140123102 80
176 154 126 110 91 71
159 139 114 99 82 65
144 126 103 90 75 59
131 115 94 82 68 53
120 105 86 75 62 49
110 96 79 69 57 45
101 89 73 64 53 41
9482 675949 38
76 62 54 45 35
51 42 33
31
18.7
321
107
1.73
2.39
16.4
245
40
2.46
1.57
15.3
271
91.1
1.73
2.44
11.8 9.92
215 184
72.9 62.8
1.72 1.71
2.49 2.52
8.03
151
51.9
1.71
2.54
6.06
116
40
1.70
2.57
13.5
210
35
2.44
1.62
10.4
168
29
2.41
1.67
8.8
144
25
2.39
1.70
7.1
119
21
2.38
1.72
5.4
92
16
2.36
1.75
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
64
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
12x3 1/2
3/8 5/16
36.41 30.78
0.349 0.291*
12x3
5/16
1/4 3/16
29.72 24.12 18.35
0.291* 0.233* 0.174*
12x2
1/4 3/16
22.42 17.08
0.233* 0.174*
414
407
397
385
370
352
331
310
287
263
239
215
192
170
149
131
116
103
93
84
76
69
63
58
336
332
326
319
309
298
282
264
245
225
205
185
166
147
129
114
101
90
81
73
66
60
55
50
324 231
318 227
311 223
302 218
290 211
272 202
252 192
230 180
208 167
186 152
164 136
142 119
122 102
105 88
92 77
81 68
72 60
64 53
57 48
52 43
47 39
146
144
142
139
136
132
126
120
114
107
98
90
80
70
61
54
47
42
38
34
31
28
211
205
197
185
171
153
131
107
85
69
57
48
41
35
131
128
124
119
112
104
94
82
69
56
46
39
33
28
10.0
156
21
2.70
1.46
8.5
134
19
2.69
1.48
8.2
124
13
3.07
1.27
6.6 5.0
103 80
11 9
3.05 3.02
1.29 1.32
6.2
87
4
4.44
0.85
4.7
67
4
4.36
0.87
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
65
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
10x6
10x8
1/2
3/8
5/16
1/4
3/16
5/8
1/2
3/8
5/16
1/4
3/16 5/8
59.348.9 37.731.825.8 19.6
67.856.7 42.836.129.2 22.2 0.581 0.465 0.349 0.291 0.233* 0.174* 0.581 0.465 0.349 0.291 0.233* 0.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
774633 489411318 200
771631 487409317 200
767628 484407316 199
762624 481405314 199
755618 477401312 198
746611 472397310 197
737604 466392307 196
726595 460387303 194
713585 452381300 193
699574 444374295 191
685562 435367291 189
669550 426359286 187
652537 416351280 185
635522 405342275 182
616508 394333269 179
597493 383323262 176
577477 371314255 173
557461 359303247 170
537444 346293239 166
516428 334283230 162
495411 321272222 158
474394 308261213 154
453377 295251205 149
432360 282240196 144
411343 269229187 139
390326 257218179 134
370309 244208170 128
349293 232197162 123
330277 219187154 117
311262 207177146 111
291246 196167138 106
274231 184158130 99.8
257217 173148122 94
242205 163140115 88.5
229193 154132109 83
216183 145125103 78.9
205 173 138 118 97 75
194 164 130 112 92.1 70.8
184 156 124 106 87 67
175 148 118 101 83.2 63.9
679559 431363279 185
674555 428360278 185
668550 424358276 184
660544 419354274 182
650536 413349271 181
637526 406343268 179
623514 398336263 176
606501 388328259 174
588487 377319253 171
569472 366309247 167
548455 354299241 164
526438 341289234 160
504420 327277226 155
480401 313266216 151
456382 299254207 146
432362 284242197 141
407342 269229187 135
383323 254217177 130
359303 239204167 124
335284 225192157 118
311265 210180148 112
288246 196168138 105
266228 182157129 98.9
245210 169145120 92.3
225194 155134110 85.6
208179 144124102 79.1
193 166 133 115 94.7 73.4
180 154 124 107 88.1 68.2
168 144 116 99.7 82.1 63.6
157 134 108 93.2 76.7 59.4
147 126 101 87 72 56
138 118 94.9 81.9 67.4 52.2
129 111 89 77 63 49
122 105 84 72.5 59.7 46.3
115 99 79 68 56 44
109 93.3 75 64.7 53.3 41.3
103 88 71 61 50 39
97.683.8 67.358.147.8 37
9380 645545 35
60.752.4 43.2 33.4
18.7
253
178
1.19
3.09
16.4
201
89.4
1.50
2.34
15.3
214
151
1.19
3.14
11.8
169
120
1.19
3.19
9.92
145
103
1.19
3.22
8.03
119
84.7
1.18
3.25
6.06
91.4
65.1
1.18
3.28
13.5
171
76.8
1.49
2.39
10.4
137
61.8
1.49
2.44
8.76
118
53.3
1.48
2.47
7.1
96.9
44.1
1.48
2.49
5.37
74.6
34.1
1.48
2.52
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
66
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
10x5
3/8 5/16
1/4 3/16
35.13 29.72 24.12 18.35
0.349 0.291 0.233*0.174*
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
400 338
397 335
392 331
386 326
378 320
368 312
358 303
345 293
332 282
318 270
303 257
287 244
271 231
255 217
238 203
222 190
206 176
190 163
174 150
159 137
145 125
132 113
121 104
111 95
102 88
94 81
87 75
81 70
76 65
71 61
66 57
62 54
59 50
55 48
9.7
120
41
1.72
2.05
260 171
258 170
256 169
253 167
249 165
245 163
240 160
233 156
227 153
219 148
210 144
200 139
189 134
178 128
167 122
156 116
145 109
135 103
124 96
114 88
104 81
95 74
87 68
80 62
73 57
68 53
63 49
59 46
55 42
51 40
48 37
45 35
42 33
40 31
37 29
8.2 6.6 5.0
104 86 66
35 29 23
1.72 1.71 1.70
2.07 2.10 2.13
10x4
10x3 1/2
5/8 1/2 3/8 5/16
1/4 3/16
50.8142.05 32.5827.5922.42 17.08
0.581 0.465 0.349 0.291 0.233* 0.174*
3/8
31.31
0.349
580480 371314241 156
570473 366310239 155
559464 360305236 154
543452 351297232 152
523436 339288226 149
500418 326277220 145
474398 311265213 141
446376 295252205 137
416352 277237195 132
385327 259222183 126
354302 240206170 120
322277 221191158 114
291251 202175145 107
260227 183159132 99
231203 165144120 92
203180 148129108 83
180 159 131 115 97 75
161 142 117 102 86 67
144 127 105 92 77 60
130 115 95 83 70 54
118 104 86 75 63 49
108 95 78 69 58 45
9887 726353 41
9080 665849 38
8374 615345 35
68 56 49 41 32
52 46 38 30
36 28
357
350
342
331
318
302
284
265
244
224
203
182
162
143
125
110
97
87
78
70
64
58
53
49
14.0
149
34
2.12
1.54
8.6
96
18
2.32
1.44
11.6
129
30
2.10
1.59
9.0
104
24
2.08
1.64
7.6
90
21
2.06
1.67
6.2
75
18
2.05
1.70
4.7
58
14
2.05
1.72
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
67
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
10x3
3/8 5/16
1/4 3/16
1/8
30.03 25.46 20.72 15.80 10.71
0.349 0.291 0.233*0.174* 0.116*
10x2
3/8 5/16
1/4 3/16
27.48 23.34 19.02 14.53
0.349 0.291 0.233*0.174*
342 290 221 142 76
334 283 218 140 75
323 274 213 138 74
309 263 207 135 73
291 249 199 130 71
271 232 189 125 69
249 214 177 119 67
226 195 162 113 64
202 176 146 105 61
179 156 131 97 58
156 137 115 88 54
134 119 101 78 50
114 102 87 68 46
9988 755841
8676 655136
7567 574532
6759 514028
6053 453525
5348 413223
4843 372920
33 26 18
17
314 266 202
295 251 195
273 233 186
244 210 173
212 184 154
179 157 132
146 130 110
115 104 90
91 82 71
74 67 58
61 55 48
51 46 40
44 39 34
8.3
88
12
2.67
1.22
7.6
72
5
3.91
0.79
7.0 5.7 4.3 2.9
76 64 49 34
11 9 7 5
2.64 2.61 2.60 2.57
1.25 1.28 1.30 1.33
128
124
120
114
106
96
85
72
58
47
39
32
28
24
6.4 5.2 4.0
63 53 41
4 4 3
3.84 3.78 3.72
0.81 0.84 0.86
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
68
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
9x5
9x7
1/2 3/8 5/16
1/4 3/16
5/8 1/2 3/8 5/16
1/4 3/16 5/8 59.3248.85 37.6931.8425.82 19.63 50.8142.05 32.5827.5922.42 17.08
0.581 0.465 0.349 0.291 0.233* 0.174* 0.581 0.465 0.349 0.291 0.233* 0.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
679559 431363292 194
675556 428361291 193
671552 426359290 193
664547 422356288 192
656541 417352285 191
647533 412347282 189
636524 405342277 187
623514 397335272 185
609503 389328267 183
593491 380321261 181
577478 370313254 178
559464 359304247 174
541449 348295240 170
521433 337285232 166
501417 325275224 162
481401 312265216 157
460384 300254208 152
439367 287244199 147
417350 274233191 142
396332 261222182 136
375315 248211173 131
353298 235200164 125
333281 222190156 119
312264 209179147 113
292248 197168139 107
273232 185158131 100
253217 173148122 94
236201 161138115 88
220188 150129107 83
205175 140121100 77
192 164 131 113 93 72
180 154 123 106 88 68
170 145 116 100 82 64
160 137 109 94 78 60
151 129 103 89 73 57
143 122 97 84 69 54
135 115 92 79 66 51
128 109 87 75 62 48
121 104 83 71 59 46
115 99 79 68 56 43
580480 371314254 168
574475 368311252 167
566470 364308250 166
556461 358303246 164
543451 350297242 162
527439 341289236 159
510425 331281229 156
490409 319271221 153
468392 307261213 149
446374 294250204 144
422355 279238195 139
397335 265225185 134
372315 250213175 128
346294 234200165 122
321274 219187154 116
296253 203174144 109
271233 188161134 102
247214 173149124 95
224195 159137114 87
202177 145125104 80
184 160 131 113 95 73
167 146 120 103 87 67
153 134 110 95 79 61
141 123 101 87 73 56
130 113 93 80 67 52
120 104 86 74 62 48
111 97 80 69 57 44
103 90 74 64 53 41
9684 696050 38
9078 645647 36
8473 605244 34
7969 574941 32
7465 534638 30
43 36 28
26
16.4
174
117
1.22
2.68
14.0
133
52
1.60
1.92
13.5
149
100
1.22
2.73
10.4
119
80
1.22
2.78
8.8
102
69
1.21
2.81
7.1
84
57
1.21
2.84
5.4
65
44
1.21
2.87
11.6 9.0 7.6 6.2
115 93 80 66
45 37 32 27
1.59 1.58 1.58 1.57
1.97 2.03 2.05 2.08
4.7
51
21
1.58
2.10
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
69
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
9x3
8x6
1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16
1/4 3/16
35.24 27.48 23.34 19.02 14.53 50.8142.05 32.5827.5922.42 17.08
0.465 0.349 0.2910.233* 0.174* 0.5810.465 0.3490.2910.233 0.174*
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
403314 266215140
392306 260212138
378296 252206135
360282 241197132
338266 227187127
313247 212175122
285227 196162115
256205 178148108
227184 160133100
199 162 142 119 91
171 141 124 105 81
145 121 107 91 71
124 103 92 78 61
107 89 79 68 53
9377 695946
8268 615241
7260 544636
6554 484132
5848 433729
44 39 33 26
30 24
580480 371314255 180
575477 369312254 179
570473 366310252 178
562467 361306249 176
553459 356301245 174
542450 349296241 172
529440 342289236 169
514428 333282230 166
498415 323274224 162
480401 313266217 159
462386 302256209 154
442371 290247202 150
422354 278236194 145
401337 266226185 140
380320 253215177 134
358303 240204168 128
337285 227193159 122
315268 213182150 115
294251 200171141 108
273234 187160133 102
253217 175150124 95
233201 162139115 89
214185 150129107 83
196 170 138 119 99 77
181 157 128 110 91 71
167 145 118 101 85 66
155 134 109 94 78 61
144 125 102 87 73 57
135 116 95 82 68 53
126 109 89 76 64 49
118 102 83 71 59 46
111 96 78 67 56 43
104 90 73 63 52 41
9885 695949 38
9280 655647 36
8776 625344 34
8372 585042 32
68 55 47 40 31
52 45 38 29
43 36 28
9.7
81
13
2.46
1.17
14.0
114
72
1.26
2.27
7.6 6.4 5.2 4.0
66 58 48 38
11 10 8 7
2.45 2.42 2.39 2.38
1.21 1.24 1.27 1.29
11.6
9.0
98 79
63 51
1.25 1.25
2.32 2.38
7.6
68
44
1.25
2.40
6.2
57
36
1.25
2.43
4.7
44
28
1.24
2.46
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
70
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
8x4
5/8 1/2 3/8 5/16
1/4 3/16
1/8
42.3035.24 27.4823.3419.02 14.53 9.86
0.5810.465 0.3490.2910.2330.174*0.116*
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
484403 314266217 151 84
476397 309262214 150 84
466389 303258210 148 83
453378 296251205 145 82
436365 286243199 142 80
416349 274233191 138 78
393332 261223183 134 76
369313 247211173 128 74
343292 232198163 123 72
317271 216185153 116 69
290249 200171142 109 66
263227 183157131 101 62
236206 167144120 93 59
211185 151130109 85 55
186
165
135
117987751
163
145
120
105886947
145
129
107
93786243
129
1159583705538
116
1038574634934
105937767574531
9584 706151 40 28
8677 645547 37 26
7970 585143 34 23
7365 544739 31 22
6759 494336 29 20
554640342618
37312417
23
16
11.7
82
27
1.75
1.511.56
9.7 7.6 6.4 5.2
72 59 51 43
24 20 17 14
1.74 1.73 1.73 1.72
1.61
1.63 1.66
1.69
4.0 2.7
33 23
11
8
1.70 1.71
1.71
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
71
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
8x3
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
1/2 3/8 5/16 1/4 3/16
1/8
31.8424.93 21.2117.3213.25 9.01
0.465 0.349 0.291 0.233 0.174* 0.116*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
365285 242197137 74
354277 236193134 73
341268 229187132 72
324256 219179128 71
304241 206169123 69
280224 192158117 66
255205 177146110 63
228185 161133103 60
202 165 144 120 93 57
175 145 128 106 83 53
150 126 112 93 73 48
127 108 96 81 64 44
108 92 82 69 55 39
9379 716048 34
8169 625241 29
7161 544636 26
6354 484032 23
5648 433629 20
5143 383226 18
39 35 29 23 17
21 15
8.81
58.5
11.7
2.24
1.15
6.88
48.5
9.94
2.21
1.20
5.85
42.4
8.81
2.19
1.23
4.77
35.5
7.49
2.18
1.25
3.63
27.8
5.94
2.16
1.28
2.46
19.3
4.2
2.14
1.31
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
72
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
8x2
3/8 5/16
1/4 3/16
1/8
22.37 19.08 15.62 11.97 8.16
0.349 0.291 0.2330.174* 0.116*
7x5
5/8 1/2 3/8 5/16
1/4 3/16
1/8
42.3 35.2427.4823.3419.0214.53 9.86
0.5810.465 0.3490.2910.2330.174*0.116*
256 218 178 122 65
240 205 168 118 63
221 190 157 113 61
198 171 142 105 58
171 149 125 96 55
144 127 107 84 51
117 104 89 71 46
9183 725840
7266 574633
5953 463727
4844 383122
4137 322619
31 27 22 16
19 14
484403 314266217 161 89
479399 311264215 160 89
472394 307260212 159 88
463386 302256209 157 87
452377 295250204 154 86
438366 287244199 151 85
422354 278236193 147 84
405340 267228186 142 82
386325 256218179 137 81
366309 244208171 131 79
345292 232198163 125 76
324275 219187154 118 74
302257 206176145 112 71
280240 192165136 105 67
258222 179154127 98 64
237204 166142118 91 60
216187 153131109 85 57
196171 140121101 78 53
176
154
127
110927249
159
139
115
100846645
144
126
105
91766041
131
1159583695438
120
1058776635034
110978069584632
102897464544229
9482 685950 39 27
8776 635546 36 25
8171 595143 33 23
7666 554840 31 22
7162 514437 29 20
6658 484235 27 19
4539332618
37312417
23
16
6.18
38.2
3.72
3.20
0.78
11.7
69.3
40.5
1.31
1.86
5.26
33.7
3.38
3.15
0.80
4.3
28.5
2.94
3.11
0.83
3.3
22
2
3.06
0.85
2.2
16
2
3.01
0.88
9.74
60.6
35.6
1.31
1.91
7.58
49.5
29.2
1.30
1.97
6.43
43
25.5
1.30
1.99
5.24
35.8
21.3
1.30
2.02
4.0 2.7
28
19
17
12
1.29 1.29
2.05 2.07
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
73
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
7x3
7x4
3/8 5/16 1/4 3/16
1/8
1/2 3/8 5/16 1/4 3/16
1/8 1/2 31.8424.93 21.2117.3213.25 9.01 28.4322.37 19.0815.6211.97 8.16
0.465 0.349 0.291 0.233 0.174* 0.116* 0.465 0.349 0.291 0.233 0.174* 0.116*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
326256 218178132 73
365285 242197147 83 317249 212174130 72
359280 239195145 82 305241 205168127 71
351275 234191143 81 290229 196161123 69
341268 228186140 80 271216 185152117 67
329258 221180137 78 249200 172142109 64
314248 212173132 76 226183 157131101 61
298236 202166127 74 165 143 119 92 58
280222 191157120 7 2 202
261208 179148113 69 178 147 127 107 83 54
241193 167138106 66 155 129 112 95 74 49
221 178 154 128 98 62 132 112 98 83 65 45
201 163 141 118 91 59 112 95 84 72 56 40
9581 716148 34
181 148 129 107 83 55 8270 625342 30
162 133 116 97 75 51 7161 544636 26
144 119 104 88 68 47 6354 474132 23
126 105 93 79 61 43 5648 423628 20
112 93 82 70 54 38 5042 373225 18
100 83 73 62 48 34 4538 332923 16
9075 665643 31 8167 595039 28 30 26 20 15
7361 544636 25 19 13
6756 494232 23
6151 453830 21
5647 413527 19
5243 383225 18
40 35 30 23 16
28 22 15
14
8.81
50.6
20.7
1.57
1.53
6.88
41.8
17.3
1.56
1.58
5.85
36.4
15.2
1.55
1.61
4.77
30.5
12.8
1.54
1.64
3.6
24
10
1.54
1.66
2.5
17
7
1.53
1.69
7.9
41
10
1.99
1.14
6.2 5.3 4.3 3.3
34 30 25 20
9
8 7 5
1.97 1.97 1.95 1.94
1.19 1.21 1.24 1.26
2.2
14
4
1.93
1.29
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
74
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
6x5
3/8 5/16
1/4 3/16
24.93 21.21 17.32 13.25
0.349 0.291 0.233 0.174
6x4
1/2 3/8 5/16 1/4 3/16
1/8
28.4322.37 19.0815.6211.97 8.16
0.4650.349 0.2910.2330.174 0.116*
285 242
282 240
278 237
273 233
267 227
259 221
250 214
241 206
230 197
219 188
207 178
195 168
183 157
170 147
158 137
145 126
133 116
122 106
110 97
99 87
90 79
82 72
75 66
69 61
64 56
59 52
55 48
51 45
47 41
44 39
41 36
39 34
197 150
196 149
193 147
190 145
186 142
181 138
175 134
169 129
162 124
154 118
146 112
138 106
130 100
122 94
113 88
105 81
97 75
89 69
81 63
73 58
67 52
61 48
55 43
51 40
47 37
43 34
40 32
37 29
35 27
33 26
31 24
29 22
27 21
326256 218178136 81
321252 214175134 80
314247 210172131 79
305240 205168128 78
293231 198162124 76
279221 189156119 74
264210 180148114 72
248198 170140108 69
230185 159132101 66
212 171 148 123 94 62
194 157 136 113 87 59
176 143 125 104 80 55
158 129 113 95 73 51
140 116 102 86 66 46
124 103 91 77 60 42
109 91 80 68 53 38
9681 716147 33
8672 645442 30
7765 574838 27
7058 524434 24
6353 474031 22
5748 433628 20
5344 393326 18
4840 363024 17
4537 332822 15
30 26 20 14
19 13
6.885.85
33.929.6
25.522.3
1.161.15
1.921.95
3.63
19.3
14.6
1.15
2.01
7.88
33.9
17.7
1.39
1.50
4.77
24.7
18.7
1.15
1.98
6.18
28.3
14.9
1.38
1.55
5.26
24.8
13.1
1.37
1.58
4.3
20.9
11.1
1.37
1.61
3.28
16.4
8.76
1.37
1.63
2.23
11.4
6.15
1.36
1.66
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
75
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
6x3
1/2 3/8 5/16 1/4 3/16
1/8
25.03 19.82 16.96 13.91 10.7 7.31
0.4650.349 0.2910.2330.174 0.116*
6x2
3/8 5/16
1/4 3/16
1/8
17.27 14.83 12.21 9.42
6.46
0.349 0.291 0.233 0.174 0.116*
288227 194159121 72
279221 189155118 71
268213 182150115 69
254203 174143110 67
237190 163135104 65
218 176 151 126 97 62
197 160 139 116 90 58
176 144 125 105 82 54
154 128 111 94 73 50
133 112 98 83 65 45
113 96 85 72 57 40
9582 726250 35
8170 625342 30
7060 534637 26
6152 464032 22
5346 413528 20
4741 363125 18
4236 322822 16
33 29 25 20 14
22 18 13
11
198 170 140 107 62
185 159 132 101 60
170 147 122 94 58
151 132 110 86 54
130 115 96 76 50
108 96 82 65 45
8779 685439
6862 544432
5349 433525
4340 352821
3633 292317
3028 242014
23 21 17 12
11
6.95
26.8
8.65
1.76
1.12
4.78
17.1
2.75
2.49
0.76
5.48
22.7
7.47
1.74
1.17
4.68
20.1
6.66
1.74
1.19
3.84
17
5.7
1.72
1.22
2.93
13.4
4.55
1.71
1.25
2
9.43
3.23
1.71
1.27
4.1
15.3
2.52
2.46
0.79
3.37
13.1
2.21
2.43
0.81
2.58
10.5
1.8
2.40
0.84
1.77
7.42
1.31
2.38
0.86
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
76
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
5x4
1/2 3/8 5/16 1/4 25.03 19.82 16.96 13.91
0.465 0.349 0.291 0.233
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
5x3
3/16 1/2 3/8 5/16 1/4 3/16
1/8
10.7 21.63 17.27 14.83 12.21 9.42 6.46
0.174 0.4650.349 0.2910.2330.174 0.116*
288227 194159121
283223 191156119
276218 187153117
268212 181149114
257204 175144110
244195 167138106
230185 159131101
215 173 149 124 95
199 162 139 116 89
183 149 129 107 83
166 137 118 99 77
150 124 108 90 70
133 112 97 82 64
118 100 87 74 58
103 88 77 66 52
9178 685846
8069 605141
7261 544636
6455 484133
5850 443729
5345 393427
4841 363124
4438 332822
4034 302620
32 28 24 19
22 17
249198 170140107 70
241192 165136104 68
232185 159131101 67
219 176 152 125 96 64
203 164 142 118 91 62
186 151 132 109 85 58
167 137 120 100 78 54
148 123 108 90 70 49
129 108 96 80 63 44
110 94 84 70 56 39
9380 726149 35
7868 615242 30
6658 524436 26
5750 453831 22
5043 393327 19
4438 342924 17
3934 302621 15
3530 272319 13
27 24 21 17 12
15 11
6.95
21.2
14.8
1.20
1.46
6.02
16.4
7.14
1.51
1.09
5.48
17.9
12.6
1.19
1.52
4.68
15.8
11.1
1.19
1.54
3.84
13.4
9.46
1.19
1.57
2.93
10.6
7.48
1.19
1.60
4.78
14.1
6.23
1.51
1.14
4.1
12.6
5.59
1.50
1.17
3.37
10.7
4.81
1.50
1.19
2.58
8.53
3.85
1.49
1.22
1.77
6.03
2.75
1.48
1.25
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
77
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
5x2 1/2
1/4 3/16
1/8
11.36 8.78 6.03
0.233 0.174 0.116*
5x2
3/8 5/16
1/4 3/16
1/8
14.72 12.7 10.51 8.15
5.61
0.349 0.291 0.233 0.174 0.116*
130
125
119
111
102
92
81
70
59
49
41
34
29
25
22
19
100
96
92
86
79
71
63
55
47
39
33
27
23
20
17
15
14
65
63
61
58
54
50
44
39
34
28
24
20
17
15
13
11
10
169 146 120 93 60
158 137 113 88 58
145 126 105 82 55
128 112 94 74 51
110 97 82 65 46
9181 705539
7266 574633
5651 453727
4441 362921
3633 292417
3027 242014
2523 201712
17 14 10
9
3.14
9.4
3.13
1.73
1.00
2.41
7.51
2.53
1.74
1.02
1.65
5.34
1.82
1.71
1.05
4.09
10.3
2.27
2.13
0.75
3.52
9.34
2.09
2.11
0.77
2.91
8.08
1.84
2.10
0.80
2.24
6.5
1.51
2.07
0.82
1.54
4.65
1.1
2.05
0.85
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
78
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
4x3
3/8 5/16
1/4 3/16
14.72 12.7 10.51 8.15
0.349 0.291 0.233 0.174
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
4x2 1/2
1/8 5/16
1/4 3/16
5.61 11.64 9.66 7.51
0.116 0.291 0.233 0.174
169 146 120 93 64
164 141 117 90 62
158 136 113 87 60
149 129 107 83 57
139 121 101 78 54
128 111 93 72 50
115 100 85 66 46
102 90 76 60 42
9079 675337
7768 594733
6558 504129
5549 433525
4742 362921
4036 312518
3531 272216
3128 241914
2724 211712
2422 191511
17 14 10
9
134
128
121
112
102
91
79
67
56
45
38
32
27
23
20
111
106
101
94
86
76
67
57
48
40
33
28
23
20
18
15
4.09
7.92
5
1.25
1.11
3.23
6.13
2.89
1.46
0.95
2.67
5.32
2.53
1.45
0.97
3.52
7.13
4.52
1.26
1.13
2.91 2.24 1.54
6.15 4.93 3.52
3.913.16 2.27
1.25 1.25 1.26
1.16 1.19 1.21
85
82
78
73
67
60
53
46
39
32
27
22
19
16
14
13
2.06
4.3
2.06
1.44
1.00
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
79
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
4x2
3/8 5/16
1/4 3/16
12.17 10.58 8.81 6.87
0.349 0.291 0.233 0.174
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
3 1/2 x 2 1/2
1/4 3/16
1/8 3/8 5/16
4.75 12.17 10.58 8.81 6.87
0.116 0.349 0.291 0.233 0.174
1/8
4.75
0.116
140 122 101 78 54
130 114 95 74 51
119 104 87 68 47
105 93 78 62 43
8979 685438
7366 574632
5753 463827
4441 363022
3532 292417
2826 231914
2322 191612
2018 161310
11 8
169 146 120 93 64
165 142 118 91 62
160 138 115 88 61
154 133 110 85 59
145 126 105 81 56
136 118 99 77 53
126 110 92 71 50
115 100 84 66 46
103 91 77 60 42
9281 695538
8172 614934
7063 544330
6054 473827
5247 413323
4541 352820
4036 312518
3532 282216
3128 252014
2825 221813
2523 201611
2321 181510
16 13 9
3.39
5.59
1.79
1.77
0.73
3.39
4.74
2.75
1.00
1.26
2.94
5.12
1.66
1.75
0.75
2.44
4.49
1.48
1.75
0.78
1.89 1.3
3.66 2.65
1.22 0.898
1.73 1.72
0.80 0.83
2.94
4.34
2.53
1.00
1.29
2.44
3.79
2.23
1.00
1.32
1.89
3.09
1.82
1.00
1.35
1.3
2.23
1.33
1.00
1.37
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
80
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
3x2 1/2
5/16
1/4 3/16 1/8
9.51 7.96 6.23 4.33
0.291 0.233 0.174 0.116
3x2
5/16
1/4 3/16 1/8
8.45 7.11 5.59 3.9
0.291 0.233 0.174 0.116
3x1 1/2
1/4 3/16
1/8
6.26 4.96 3.48
0.233 0.174 0.116
109 91
104 88
98 83
91 77
81 69
72 61
61 53
52 45
42 37
34 30
28 25
24 21
20 18
17 15
15 13
49
47
45
42
38
35
30
26
22
18
15
13
11
9
8
7
97 82 64
90 76 60
82 70 55
72 62 49
61 53 43
50 44 36
39 35 29
30 27 23
24 22 18
19 17 15
16 14 12
13 12 10
44
42
39
35
30
26
21
17
13
11
9
8
6
72 57
64 51
54 44
44 36
33 28
24 20
17 15
13 11
11 9
1.19
1.54
1.16
1.15
0.99
2.35
2.38
1.23
1.39
0.73
1.07
1.3
0.692
1.37
0.80
1.74
1.68
0.541
1.76
0.56
2.64
2.91
2.17
1.16
0.91
2.21
2.57
1.93
1.16
0.94
71
68
64
60
55
49
42
36
30
25
21
17
15
13
11
10
1.71
2.11
1.59
1.15
0.96
1.97
2.12
1.11
1.38
0.75
1.54
1.76
0.931
1.38
0.78
1.37
1.42
0.466
1.75
0.58
40
36
31
26
21
16
11
9
7
6
0.96
1.06
0.355
1.72
0.61
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
81
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
3x1
3/16
1/8
6.32 3.05
0.174 0.116
2 1/2x1 1/2
1/4 3/16
1/8
5.41 4.32 3.05
0.233 0.174 0.116
2x1 1/2
3/16
1/8
3.68 2.63
0.174 0.116
2x1
3/16
1/8
3.04 2.2
0.174 0.116
49
38
27
17
11
7
35
27
20
14
9
6
63
55
47
37
28
20
14
11
9
42
37
32
25
19
14
10
8
6
30
27
23
19
15
11
8
6
5
35 25
26 20
18 14
11 9
7 6
5 4
1.19
1.07
0.172
0.38
1.00
0.84
0.817
0.138
0.41
1.00
1.51
1.03
0.447
0.36
1.50
1.02
0.494
0.312
0.37
1.50
0.72
0.383
0.244
0.39
1.50
49
44
38
31
24
17
12
10
8
35
31
27
23
18
13
10
7
6
1.19 0.84
0.881 0.668
0.389 0.299
0.38 0.40
1.50 1.50
0.84
0.349
0.112
0.37
1.00
0.61
0.28
0.092
0.39
1.00
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
82
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
20x12
5/8 1/2
3/8
5/16
127 103 78.5 65.9
0.581 0.465* 0.349* 0.291 *
20x8
5/8 1/2 3/8 5/16
110.36 89.68 68.31 57.36
0.581 0.465* 0.349*0.291*
20x4
1/2 3/8 5/16
76.07 58.10 48.86
0.465* 0.349* 0.291*
1575
1572
1569
1564
1558
1551
1542
1532
1521
1508
1495
1480
1464
1447
1429
1410
1390
1369
1347
1324
1301
1277
1252
1227
1201
1175
1148
1121
1094
1066
1039
1011
983
955
926
898
870
843
815
788
1189
1187
1186
1183
1180
1176
1171
1165
1159
1152
1144
1136
1127
1117
1106
1095
1083
1071
1058
1044
1029
1014
999
983
966
949
931
912
892
870
848
826
804
781
759
736
714
692
669
647
1364
1358
1352
1343
1332
1318
1302
1284
1263
1241
1216
1190
1162
1133
1103
1071
1038
1004
970
935
899
864
828
792
756
720
685
651
616
583
550
518
487
459
433
409
387
367
349
331
1022
1020
1016
1012
1006
999
990
981
969
957
944
929
913
896
878
858
838
816
793
767
739
711
682
653
624
596
568
540
512
485
459
433
407
384
362
342
324
307
292
277
668
666
664
662
659
655
650
645
639
633
625
617
609
600
590
579
568
557
544
531
518
504
489
474
459
443
426
409
392
374
356
338
319
300
283
268
254
240
228
217
856 546
848 542
837 537
823 530
804 521
781 510
755 497
724 482
689 465
648 446
599 425
550 402
501 377
453 351
406 322
361 292
320 260
286 232
256 208
231 188
210 170
191 155
175 142
161 130
148 120
137 111
127 103
118 96
405
403
400
395
389
382
374
364
354
341
328
313
298
280
262
242
221
199
178
161
146
133
122
112
103
95
88
82
77
35
1880
851
1.49
4.93
28.3 21.5
1550 1200
705 547
1.48 1.48
4.99 5.04
30.3
1440
338
2.06
3.34
24.6
1190
283
2.05
3.39
18.7
926
222
2.04
3.44
20.9
838
59
3.77
1.68
13.4
560
41
3.69
1.75
794
793
792
790
788
786
783
780
777
773
768
763
758
752
746
740
733
726
719
711
702
694
685
676
666
656
646
635
624
613
601
590
578
565
553
540
527
514
500
487
594
593
593
592
591
590
588
586
584
582
580
577
575
572
568
565
561
557
553
548
544
539
533
528
522
516
510
504
496
488
479
471
462
454
445
435
426
416
407
397
18.1
1010
464
1.48
5.07
509
508
507
505
503
500
497
494
490
485
480
475
469
463
456
449
441
433
425
416
407
397
387
377
366
355
344
332
320
308
295
283
269
257
242
229
217
205
195
185
15.7
786
189
2.04
3.47
16.0
657
48
3.71
1.73
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
83
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
18x6
5/8 1/2 3/8 5/16
1/4
93.34 76.07 58.10 48.86 39.43
0.581 0.465* 0.349*0.291* 0.233*
16x12
5/8
1/2
3/8
5/16
110 89.7 68.3 57.4
0.581 0.465 0.349*0.291*
1157 915 599 452 321
1149 910 597 451 320
1139 905 594 449 319
1125 897 590 446 317
1108 887 584 443 315
1087 875 578 438 313
1063 861 571 433 310
1036 844 562 428 306
1007 823 552 421 302
975798 542414298
940771 530406293
904742 517398288
866712 503389282
827681 488379276
787650 472368269
746617 455357262
705585 437345255
664552 418332247
623519 399319239
583487 378305230
544455 357291221
505424 335276212
468394 312261203
431364 289245193
397336 267229182
367310 247212172
340288 229196161
316268 213183149
295250 199170139
276233 186159130
258218 174149122
242205 163140114
228193 153132108
215182 145124101
202 171 136 117 96
191 162 129 110 90
181 153 122 105 86
172 145 116 99 81
163 138 110 94 77
155 131 104 90 73
1364
1361
1358
1354
1348
1341
1333
1324
1314
1303
1290
1277
1262
1247
1230
1213
1195
1176
1156
1136
1115
1093
1071
1048
1025
1001
977
953
928
904
879
854
829
804
779
754
729
705
680
656
1107
1105
1103
1099
1095
1089
1083
1076
1068
1059
1049
1038
1027
1014
1001
988
973
958
942
926
909
892
874
856
838
819
800
780
761
741
721
701
681
661
641
621
601
582
562
542
770
769
768
766
764
761
758
755
750
746
740
735
729
722
715
708
700
692
683
674
664
654
644
633
622
611
599
587
575
562
549
536
523
508
493
478
463
448
433
418
25.7
923
158
2.42
2.48
30.3
1090
700
1.25
4.8
24.6
904
581
1.25
4.86
18.7
702
452
1.25
4.91
20.9
770
134
2.40
2.53
16.0
602
106
2.38
2.58
13.4
513
91
2.37
2.61
10.8
419
75
2.37
2.63
577
577
576
575
574
573
571
569
567
564
561
558
555
552
548
544
539
534
530
524
519
513
507
500
494
486
478
469
460
451
442
432
423
413
403
392
382
372
361
350
15.7
595
384
1.24
4.94
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
84
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
16x8
5/8
1/2
3/8
5/16
93.3 76.1 58.1 48.9
0.581 0.465 0.349*0.291*
16x4
1/2 3/8 5/16
62.46 47.90 40.35
0.465 0.349*0.291*
14x10
5/8
1/2
3/8
5/16
1/4
93.3 76.1 58.1 48.9 39.4
0.581 0.465 0.349*0.291* 0.233*
1157
1152
1146
1138
1128
1116
1102
1086
1068
1048
1027
1004
979
954
927
899
870
841
811
780
749
718
687
656
625
594
564
534
505
477
449
421
396
373
352
333
315
299
283
269
941
937
932
926
918
909
897
885
870
855
838
820
800
780
759
736
714
690
666
642
617
592
567
543
518
493
469
445
421
398
376
353
332
313
295
279
264
250
238
226
649
647
645
642
638
634
628
622
615
607
599
589
579
568
557
545
532
518
504
489
474
458
441
422
403
385
366
348
330
313
295
278
262
247
233
220
208
197
187
178
774
762
748
728
703
673
640
604
566
526
485
443
403
363
324
287
254
227
204
184
167
152
139
128
118
109
101
523 394
518 391
512 387
504 381
493 374
480 366
465 356
447 345
427 332
405 317
381 302
354 284
323 266
293 246
264 225
236 203
210 180
187 161
168 144
151 130
137 118
125 108
114 99
105 90
97 83
90 77
83 71
77 66
1157 941 695 540 376
1153 938 694 539 375
1150 935 692 538 375
1144 931 690 536 374
1137 925 686 534 373
1129 919 683 531 372
1119 911 678 528 370
1108 902 673 525 369
1096 893 667 521 367
1082 882 661 516 365
1067 870 654 511 362
1051 857 646 506 359
1034 843 638 500 357
1015 829 629 494 353
996813 620487350
976797 610480347
954781 599472343
932763 587465339
910745 574456334
886727 560448330
863708 545439325
838688 531429320
814669 516420314
789649 501410309
763628 486399303
738608 470389296
712588 455378289
687567 440367281
661547 424356274
636526 409344266
611506 393332258
586486 378319250
561466 363307242
536446 348294233
512427 333282225
489408 318270216
466389 304258208
442371 290246199
420352 276235191
399334 262223182
25.7
815
274
1.72
3.27
20.9
679
230
1.72
3.32
16
531
181
1.71
3.37
17.2
455
47
3.12
1.65
13.2
360
38
3.06
1.71
25.7
687
407
1.30
3.98
497
496
495
493
490
487
483
479
474
469
463
456
450
442
434
426
417
407
398
387
377
366
354
342
330
318
305
292
279
265
251
237
223
210
198
188
178
168
160
152
13.4
451
155
1.71
3.40
11.1
308
33
3.05
1.73
20.9
573
341
1.29
4.04
16
447
267
1.29
4.09
13.4
380
227
1.29
4.12
10.8
310
186
1.29
4.14
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
85
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
14x4
14x6
1/2 3/8 5/16
1/4 3/16
5/8 1/2 3/8 5/16
1/4 3/16 5/8 76.3362.46 47.9040.3532.63 24.73 67.8255.66 42.7936.1029.23 22.18
0.581 0.465 0.349*0.291* 0.233* 0.174* 0.581 0.465 0.349* 0.291* 0.233* 0.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
945774 569437314 204
938769 566435313 204
930762 563432311 203
918753 558429309 202
904742 552425307 200
886728 544420304 198
866712 535414300 196
843694 525407295 194
818674 514399291 191
791652 501390285 188
762629 487381279 185
731605 469371273 181
699580 450360266 178
666553 430348259 174
633527 410335251 169
599499 390322242 164
564472 369308234 160
530444 349294224 154
496417 328278215 149
463390 308261205 144
430364 288245194 138
399338 268228184 132
368313 249212173 126
338288 230197161 119
311266 212181150 113
288246 196168138 106
267228 182155128 99
248212 169144119 92
231197 158135111 86
216184 147126104 80
202 173 138 118 97 75
190 162 129 111 91 71
179 152 122 104 86 66
168 144 115 98 81 62
159 135 108 92 76 59
150 128 102 87 72 56
142 121 97 83 68 53
135 115 92 78 65 50
128 109 87 74 62 47
122 104 83 71 58 45
842689 506384272 173
828678 501380270 172
811665 494376268 170
787647 485370264 169
758624 473362259 166
724598 459353254 163
686568 442342247 160
645536 419330240 156
601501 394316231 152
555465 367300222 147
508429 340283212 141
462392 312265200 136
416355 285245188 129
372320 258222175 123
330285 232200162 115
290252 207179147 108
257223 183159132 100
229199 163142118 92
205179 146128106 83
185 161 132 115 95 74
168 146 120 104 86 68
153 133 109 95 79 62
140 122 100 87 72 56
129 112 92 80 66 52
119 103 85 74 61 48
110 96 78 68 56 44
89 73 63 52 41
67 59 49 38
45 35
21.0
478
124
1.96
2.43
18.7
373
47
2.81
1.59
17.2
402
105
1.95
2.48
13.2
317
84
1.94
2.53
11.1
271
72
1.94
2.55
9.0
222
60
1.93
2.58
6.8
170
46
1.92
2.61
15.3
317
41
2.77
1.64
11.8
252
34
2.74
1.69
9.9
216
29
2.72
1.72
8.0
178
24
2.71
1.74
6.1
137
19
2.68
1.77
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
86
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
12x10
1/2
3/8
5/16 1/4
69.3 53 44.6 36
0.465 0.349 0.291*0.233*
5/8
1/2
3/8
5/16
1/4
3/16
76.362.5 47.940.432.6 24.7
0.581 0.465 0.3490.291*0.233* 0.174*
855
853
850
846
841
835
827
819
810
799
788
776
763
750
735
720
704
688
671
654
636
618
599
581
562
543
524
505
486
467
448
430
412
393
376
358
341
324
307
292
657
655
653
650
646
642
636
630
623
615
607
598
588
578
567
556
544
531
519
506
492
479
465
451
436
422
408
393
379
364
350
336
322
308
295
281
268
255
242
230
526
525
523
521
519
516
513
509
504
499
494
488
481
475
467
459
451
443
434
424
413
402
390
379
367
355
343
331
319
307
295
284
272
260
249
238
227
216
205
195
945774 594476350 215
941771 592475349 215
936767 589473347 214
929761 585470346 214
920754 580467344 213
910746 573463341 212
897736 566459338 211
883725 558454335 209
868713 548448331 208
850699 538441327 206
832684 527434322 204
812668 515426317 202
791651 503418312 200
769634 490409306 197
745615 476399299 195
721596 462389293 192
697576 447377286 189
672556 432364279 186
646535 416352271 182
620514 401338263 178
594493 385325255 175
567472 369312246 170
541451 353299238 166
515430 337285229 162
489409 321272219 157
463388 305259210 151
438367 290246201 145
413347 274233191 140
389328 260220181 134
366309 245208171 128
342289 231196161 122
321272 216184151 116
302255 203173142 109
285241 192163134 103
269227 181154126 97
254215 171145120 92
240203 162138113 87
228193 153131107 82
216183 146124102 78
206 174 138 118 97 74
19
395
298
1.15
3.96
14.6
310
234
1.15
4.01
12.2
264
200
1.15
4.04
371
370
370
369
368
366
365
363
361
358
355
353
349
346
342
338
334
329
324
319
314
308
302
296
288
281
273
265
257
248
240
231
222
214
205
195
187
178
169
161
9.9
216
164
1.15
4.07
12x8
9.9
216
164
1.37
3.16
21
397
210
1.37
3.21
13.211.1 8.96
262 224 184
140 120 98.8
1.37 1.37 1.36
3.27 3.29 3.32
6.76
140
75.7
1.36
3.35
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
87
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
12x4
12x6
1/2 3/8 5/16
1/4 3/16
5/8
1/2
3/8
5/16
1/4
3/16 5/8 67.856.7 42.836.129.2 22.2 59.3248.85 37.6931.8425.82 19.63
0.581 0.465 0.3490.291*0.233* 0.174* 0.581 0.465 0.3490.291*0.233* 0.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
842689 531423308 201
835684 527421306 201
828678 523418305 200
817669 517415302 199
804659 509410299 197
787646 500404296 195
769631 489398292 193
748615 476390287 190
725597 463382281 187
700577 448372275 183
673556 432362269 180
645534 416351262 176
616511 399337254 171
586487 381323246 167
556462 362307237 162
525438 344292228 157
494413 325276218 151
463388 306261208 146
433364 288245198 140
403339 269230187 134
373316 251215176 127
345293 233200164 121
317270 216186152 114
291248 199172141 107
268229 184158130 100
248211 170146120 93
230196 157136111 86
214182 146126104 80
199 170 136 118 97 75
186 159 128 110 90 70
174 149 119 103 85 65
164 140 112 97 79 61
154 131 105 91 75 58
145 124 99 85 70 54
137 117 94 81 66 51
129 110 89 76 63 48
122 104 84 72 59 46
116 99 79 68 56 43
110 94 75 65 53 41
89 72 62 51 39
738608 468371266 170
725598 461367264 169
710586 452362261 168
689570 441356257 166
663550 426347251 163
633526 409337245 160
599499 389325238 156
561470 368311229 151
522439 345293220 146
481407 321274209 141
440374 296254198 135
399341 272233186 128
359308 247213173 121
319277 223193159 114
282246 200174143 106
248217 178155128 98
219192 157137114 89
196172 140123102 80
176 154 126 110 91 71
159 139 114 99 82 65
144 126 103 90 75 59
131 115 94 82 68 53
120 105 86 75 62 49
110 96 79 69 57 45
101 89 73 64 53 41
9482 675949 38
76 62 54 45 35
51 42 33
31
18.7
321
107
1.73
2.39
16.4
245
40
2.46
1.57
15.3
271
91.1
1.73
2.44
11.8 9.92
215 184
72.9 62.8
1.72 1.71
2.49 2.52
8.03
151
51.9
1.71
2.54
6.06
116
40
1.70
2.57
13.5
210
35
2.44
1.62
10.4
168
29
2.41
1.67
8.8
144
25
2.39
1.70
7.1
119
21
2.38
1.72
5.4
92
16
2.36
1.75
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
88
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
12x3 1/2
3/8 5/16
36.41 30.78
0.349 0.291*
12x3
5/16
1/4 3/16
29.72 24.12 18.35
0.291* 0.233* 0.174*
12x2
1/4 3/16
22.42 17.08
0.233* 0.174*
450
441
430
416
398
377
353
328
302
275
248
221
195
171
149
131
116
103
93
84
76
69
63
58
357
353
347
338
328
315
300
280
258
235
213
191
169
148
129
114
101
90
81
73
66
60
55
50
344 245
338 241
330 237
320 230
306 222
290 212
267 201
242 188
217 173
191 157
167 139
144 120
122 102
105 88
92 77
81 68
72 60
64 53
57 48
52 43
47 39
155
153
151
147
143
139
133
126
119
111
101
92
81
70
61
54
47
42
38
34
31
28
224
217
208
195
178
158
135
108
85
69
57
48
41
35
139
136
131
125
118
108
97
84
69
56
46
39
33
28
10.0
156
21
2.70
1.46
8.5
134
19
2.69
1.48
8.2
124
13
3.07
1.27
6.6 5.0
103 80
11 9
3.05 3.02
1.29 1.32
6.2
87
4
4.44
0.85
4.7
67
4
4.36
0.87
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
89
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
10x6
10x8
1/2
3/8
5/16
1/4
3/16
5/8
1/2
3/8
5/16
1/4
3/16 5/8
59.348.9 37.731.825.8 19.6
67.856.7 42.836.129.2 22.2 0.581 0.465 0.349 0.291 0.233* 0.174* 0.581 0.465 0.349 0.291 0.233* 0.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
842689 531446340 211
838686 529445339 211
833682 526442338 210
827677 522439336 210
819670 517435334 209
809663 512430331 208
797653 505425328 206
784643 497418324 205
770631 488411320 203
754619 479403315 201
736605 469395309 199
718590 457386304 196
698575 446376298 194
678558 434366291 191
657541 421355284 188
635524 407344277 185
612506 394333269 181
589487 380321261 178
565468 365309252 174
541449 351297243 169
517430 336285233 165
493411 322273223 160
470391 307261213 155
446372 293249204 150
422353 278237194 144
399334 264225184 138
377316 250213175 132
354298 236201165 125
333280 222190156 119
311263 209179147 113
291246 196168138 106
274231 184158130 100
257217 173148122 94
242205 163140115 88
229193 154132109 83
216183 145125103 79
205 173 138 118 97 75
194 164 130 112 92 71
184 156 124 106 87 67
175 148 118 101 83 64
738608 468394299 198
732603 465391297 197
725598 461388295 196
716590 455383293 195
703580 448378289 193
689568 439370285 190
672555 429362280 188
653540 418353275 185
632523 406343269 181
609505 392332262 177
585486 378320255 173
560466 363307247 169
533445 347294238 164
506423 331281229 158
479401 314267218 153
451379 298253207 147
423357 281239196 141
396334 264225184 135
369312 247211173 128
342291 231198162 121
316269 215184151 115
291249 199171140 107
266229 184158130 100
245210 169146120 93
225194 155134110 86
208179 144124102 79
193 166 133 115 95 73
180 154 124 107 88 68
168 144 116 100 82 64
157 134 108 93 77 59
147 126 101 87 72 56
138 118 95 82 67 52
129 111 89 77 63 49
122 105 84 73 60 46
115 99 79 68 56 44
109 93 75 65 53 41
103 88 71 61 50 39
9884 675848 37
9380 645545 35
61 52 43 33
18.7
253
178
1.19
3.09
16.4
201
89.4
1.50
2.34
15.3
214
151
1.19
3.14
11.8
169
120
1.19
3.19
9.92
145
103
1.19
3.22
8.03
119
84.7
1.18
3.25
6.06
91.4
65.1
1.18
3.28
13.5
171
76.8
1.49
2.39
10.4
137
61.8
1.49
2.44
8.76
118
53.3
1.48
2.47
7.1
96.9
44.1
1.48
2.49
5.37
74.6
34.1
1.48
2.52
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
90
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
20-10
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
10x5
3/8 5/16
1/4 3/16
35.13 29.72 24.12 18.35
0.349 0.291 0.233*0.174*
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
435 368
431 364
425 360
418 353
409 346
398 337
385 326
371 314
355 301
339 288
321 273
303 258
285 243
266 227
248 212
229 196
211 181
193 166
176 151
159 137
145 125
132 113
121 104
111 95
102 88
94 81
87 75
81 70
76 65
71 61
66 57
62 54
59 50
55 48
9.7
120
41
1.72
2.05
277 182
276 181
273 180
270 178
266 176
260 173
254 170
247 166
240 161
231 157
222 152
212 146
199 140
187 134
174 127
162 120
150 113
138 105
126 97
115 89
104 81
95 74
87 68
80 62
73 57
68 53
63 49
59 46
55 42
51 40
48 37
45 35
42 33
40 31
37 29
8.2 6.6 5.0
104 86 66
35 29 23
1.72 1.71 1.70
2.07 2.10 2.13
10x4
10x3 1/2
5/8 1/2 3/8 5/16
1/4 3/16
50.8142.05 32.5827.5922.42 17.08
0.581 0.465 0.349 0.291 0.233* 0.174*
3/8
31.31
0.349
630522 404342257 167
619513 397336254 165
605503 390330251 163
587488 379322246 161
564470 366311240 158
537449 351298233 154
507426 333284225 150
474400 314268216 145
440373 294252205 139
404344 273234193 133
368315 251216179 126
332287 230198164 118
298258 208180150 111
264231 187163136 102
232205 167146122 93
203180 148130109 84
180 159 131 115 97 75
161 142 117 102 86 67
144 127 105 92 77 60
130 115 95 83 70 54
118 104 86 75 63 49
108 95 78 69 58 45
9887 726353 41
9080 665849 38
8374 615345 35
68 56 49 41 32
52 46 38 30
36 28
388
380
371
358
342
323
302
280
257
233
210
187
164
143
125
110
97
87
78
70
64
58
53
49
14.0
149
34
2.12
1.54
8.6
96
18
2.32
1.44
11.6
129
30
2.10
1.59
9.0
104
24
2.08
1.64
7.6
90
21
2.06
1.67
6.2
75
18
2.05
1.70
4.7
58
14
2.05
1.72
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
91
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
Fy = 20-10
50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
10x3
3/8 5/16
1/4 3/16
1/8
30.03 25.46 20.72 15.80 10.71
0.349 0.291 0.233*0.174* 0.116*
10x2
3/8 5/16
1/4 3/16
27.48 23.34 19.02 14.53
0.349 0.291 0.233*0.174*
372 315 236 151 81
362 307 231 149 80
349 297 226 146 79
332 283 219 142 77
312 267 210 138 76
288 248 199 132 73
263 227 186 125 71
237 205 170 118 67
210 183 152 109 64
183 161 135 100 60
158 140 118 90 56
134 119 102 79 51
114 102 87 68 47
9988 755841
8676 655136
7567 574532
6759 514028
6053 453525
5348 413223
4843 372920
33 26 18
17
341 289 215
319 271 207
293 251 196
260 224 182
223 194 162
185 163 137
148 132 113
115 104 90
91 82 71
74 67 58
61 55 48
51 46 40
44 39 34
8.3
88
12
2.67
1.22
7.6
72
5
3.91
0.79
7.0 5.7 4.3 2.9
76 64 49 34
11 9 7 5
2.64 2.61 2.60 2.57
1.25 1.28 1.30 1.33
136
132
127
120
111
100
87
72
58
47
39
32
28
24
6.4 5.2 4.0
63 53 41
4 4 3
3.84 3.78 3.72
0.81 0.84 0.86
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
92
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
9x7
5/8 1/2 3/8 5/16
1/4 3/16
59.3248.85 37.6931.8425.82 19.63
0.581 0.465 0.349 0.291 0.233* 0.174*
9x5
5/8 1/2 3/8 5/16
1/4 3/16
50.8142.05 32.5827.5922.42 17.08
0.581 0.465 0.349 0.291 0.233* 0.174*
738608 468394313 205
734604 465392312 204
728600 462389310 203
721594 458386308 202
711586 452381305 201
700577 446376302 200
687567 438369297 198
672555 429362293 195
655542 419354287 193
637527 408345280 190
618512 397335273 187
598496 385325265 184
576478 372315256 180
554461 358304247 175
531442 344292238 170
507423 330280229 165
483404 316268219 160
459384 301256209 154
435365 286244199 148
411345 271231190 142
387326 257219180 135
363307 242207170 129
340288 228195160 122
317269 214183151 116
295251 200171141 109
273234 186160132 102
253217 173149123 95
236201 161138115 89
220188 150129107 83
205175 140121100 77
192 164 131 113 93 72
180 154 123 106 88 68
170 145 116 100 82 64
160 137 109 94 78 60
151 129 103 89 73 57
143 122 97 84 69 54
135 115 92 79 66 51
128 109 87 75 62 48
121 104 83 71 59 46
115 99 79 68 56 43
630522 404342271 180
623516 400338269 179
614509 394334267 177
602500 387328263 175
587488 379321259 173
568473 368312253 170
548457 356302246 166
525439 343291238 162
500419 328279228 157
473398 313266218 152
446376 296252207 146
418353 279238196 140
389330 262224184 134
360307 245209172 127
331284 227194161 120
303261 210180149 113
276238 193166137 105
250217 176152126 97
224196 160138115 89
202177 145125105 81
184 160 131 113 95 73
167 146 120 103 87 67
153 134 110 95 79 61
141 123 101 87 73 56
130 113 93 80 67 52
120 104 86 74 62 48
111 97 80 69 57 44
103 90 74 64 53 41
9684 696050 38
9078 645647 36
8473 605244 34
7969 574941 32
53 46 38 30
43 36 28
26
16.4
174
117
1.22
2.68
14.0
133
52
1.60
1.92
13.5
149
100
1.22
2.73
10.4
119
80
1.22
2.78
8.8
102
69
1.21
2.81
7.1
84
57
1.21
2.84
5.4
65
44
1.21
2.87
11.6 9.0 7.6 6.2
115 93 80 66
45 37 32 27
1.59 1.58 1.58 1.57
1.97 2.03 2.05 2.08
4.7
51
21
1.58
2.10
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
93
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
9x3
8x6
1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16
1/4 3/16
35.24 27.48 23.34 19.02 14.53 50.8142.05 32.5827.5922.42 17.08
0.465 0.349 0.291 0.233* 0.174* 0.5810.465 0.3490.2910.233 0.174*
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
438341 289230149
425331 282225146
409320 272220144
388304 259212140
362285 244200134
332263 226186128
301240 207171121
268215 187155113
235191 166139104
203 166 146 123 94
173 143 126 107 83
145 121 108 92 72
124 103 92 78 61
107 89 79 68 53
9377 695946
8268 615241
7260 544636
6554 484132
5848 433729
44 39 33 26
30 24
630522 404342278 192
625518 401339276 191
619513 397336273 190
610506 392332270 188
599497 385326266 186
585487 378320260 183
570474 369312254 180
553461 358304248 177
534446 347295240 173
514429 335284232 168
492412 322274224 163
469394 309263215 158
446375 295251205 153
422356 280239196 147
398336 266226186 140
373316 251214176 134
349297 236201166 127
325277 221189156 120
301258 206177146 112
278239 192164136 105
256220 178153126 98
234203 164141117 91
214185 151130108 84
196 170 138 119 99 77
181 157 128 110 91 71
167 145 118 101 85 66
155 134 109 94 78 61
144 125 102 87 73 57
135 116 95 82 68 53
126 109 89 76 64 49
118 102 83 71 59 46
111 96 78 67 56 43
104 90 73 63 52 41
9885 695949 38
9280 655647 36
8776 625344 34
8372 585042 32
68 55 47 40 31
52 45 38 29
43 36 28
9.7
81
13
2.46
1.17
14.0
114
72
1.26
2.27
7.6 6.4 5.2 4.0
66 58 48 38
11 10 8 7
2.45 2.42 2.39 2.38
1.21 1.24 1.27 1.29
11.6 9.0 7.6 6.2
98 79 68 57
63 51 44 36
1.25 1.25 1.25 1.25
2.32 2.38 2.40 2.43
4.7
44
28
1.24
2.46
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
94
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
8x4
5/8 1/2 3/8 5/16
1/4 3/16
1/8
42.3035.24 27.4823.3419.02 14.53 9.86
0.5810.465 0.3490.2910.2330.174*0.116*
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
527438 341289236 161 90
517431 336285232 160 89
505422 329279228 157 88
489409 320272222 155 87
469393 308262214 151 85
446375 295251205 147 83
420355 280238196 141 81
392332 263225185 135 78
362309 245210173 129 75
332284 227195161 122 72
301260 209179149 114 69
271235 190164136 105 65
241211 172148124 96 61
213188 154133112 87 57
186165 137119100 78 52
163
145
120
105887048
145
129
107
93786243
129
1159583705538
116
1038574634934
105937767574531
9584 706151 40 28
8677 645547 37 26
7970 585143 34 23
7365 544739 31 22
6759 494336 29 20
554640342618
37312417
23
16
11.7
82
27
1.75
1.51
9.7 7.6 6.4 5.2
72 59 51 43
24 20 17 14
1.74 1.73 1.73 1.72
1.56 1.61 1.63 1.66
4.0 2.7
33 23
11
8
1.70 1.71
1.69 1.71
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
95
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
8x3
1/2 3/8 5/16 1/4 3/16
1/8
31.8424.93 21.2117.3213.25 9.01
0.465 0.349 0.291 0.233 0.174* 0.116*
8x2
3/8 5/16
1/4 3/16
1/8
22.37 19.08 15.62 11.97 8.16
0.349 0.291 0.2330.174* 0.116*
396309 264215145 79
384301 256209143 78
370290 248202140 77
349275 235193136 75
325258 221181130 73
298238 205168123 70
268216 187155116 67
238194 168140107 63
208 172 149 124 97 59
179 149 131 109 86 55
151 128 113 95 75 50
127 108 96 82 65 45
108 92 83 69 55 39
9379 715948 34
8269 615241 29
7160 544636 26
6454 484032 23
5648 423629 20
5143 383326 18
39 35 30 23 17
21 15
278 237 194 130 69
259 221 182 125 67
237 204 168 119 65
211 182 151 111 62
180 157 131 100 58
148 131 111 88 53
119 106 91 73 47
9183 725841
7266 574633
5853 473727
4943 383122
4037 322619
31 27 22 16
19 14
8.81
58.5
11.7
2.24
1.15
6.18
38.2
3.72
3.20
0.78
6.88
48.5
9.94
2.21
1.20
5.85
42.4
8.81
2.19
1.23
4.77
35.5
7.49
2.18
1.25
3.63
27.8
5.94
2.16
1.28
2.46
19.3
4.2
2.14
1.31
5.26
33.7
3.38
3.15
0.80
4.3
28.5
2.94
3.11
0.83
3.28
22.4
2.39
3.06
0.85
2.23
15.7
1.72
3.01
0.88
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
96
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
7x5
5/8 1/2 3/8 5/16
1/4 3/16
1/8
42.3 35.2427.4823.3419.0214.53 9.86
0.5810.465 0.3490.2910.2330.174*0.116*
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
526438 341289236 173 94
520433 338286233 171 93
512427 332283231 170 93
502418 326277227 167 92
488408 319271221 164 91
472395 309263215 161 90
453380 299254208 156 88
433364 286245200 152 86
412347 273233192 146 84
389328 259221182 139 82
364309 245210173 132 80
340289 230197163 125 77
314269 215184152 117 74
290249 199172142 110 70
266229 184159132 102 66
241210 169146122 94 62
218191 155134112 87 58
196172 141122103 80 54
176
155
127
111937250
159
140
114
100846645
144
126
104
91766041
131
1159483695438
120
1068775645034
110967970584632
102897364544229
9483 685950 39 27
8776 625546 36 25
8071 585142 33 23
7567 544840 31 22
7161 514437 29 20
6658 484135 27 19
0 0 4439332618
0 0 037312417
00 0002316
11.7
69.3
40.5
1.31
1.86
9.74
60.6
35.6
1.31
1.91
7.58
49.5
29.2
1.30
1.97
6.43
43
25.5
1.30
1.99
5.24
35.8
21.3
1.30
2.02
3.98
27.9
16.6
1.29
2.05
2.7
19.3
11.6
1.29
2.07
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
97
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
7x3
7x4
3/8 5/16 1/4 3/16
1/8
1/2 3/8 5/16 1/4 3/16
1/8 1/2 31.8424.93 21.2117.3213.25 9.01 28.43 22.37 19.0815.62 11.97 8.16
0.465 0.349 0.291 0.233 0.174* 0.116* 0.465 0.349 0.2910.2330.174* 0.116*
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
396309 264215157 88
390305 259212155 88
381299 254208153 86
368289 247201150 85
355278 238195146 83
337266 228186141 81
318252 216177135 79
298236 203167128 76
275220 190157120 73
253203 176145111 69
230186 161133103 65
208 168 147 122 94 61
185 151 132 111 86 57
164 136 119 100 77 52
144 120 106 89 69 48
126 105 93 78 61 43
112 93 83 70 54 38
100 84 73 62 48 34
9074 665643 31
8068 595139 28
7361 544636 25
6756 494132 23
6151 443830 21
5647 413527 19
5243 383225 18
40 35 30 23 16
28 22 15
14
355278 237194141 78
343270 230188138 77
329260 222182135 75
311247 211174130 73
289231 198163124 71
265213 183151116 68
238193 166139107 64
211 173 149 125 97 60
184 152 132 111 86 56
158 132 115 97 76 51
132 113 100 85 66 46
111 95 84 72 57 40
9582 726148 34
8270 615342 30
7161 544736 26
6254 484032 23
5648 413628 20
5042 373225 18
4438 332923 16
31 25 20 15
19 13
8.81
50.6
20.7
1.57
1.53
7.88
40.7
10.2
1.99
1.14
6.88
41.8
17.3
1.56
1.58
5.85
36.4
15.2
1.55
1.61
4.77
30.5
12.8
1.54
1.64
3.63
23.8
10
1.54
1.66
2.46
16.6
7.03
1.53
1.69
6.18
34
8.7
1.97
1.19
5.26
29.9
7.74
1.97
1.21
4.3
25.2
6.59
1.95
1.24
3.28
19.8
5.24
1.94
1.26
2.23
13.8
3.71
1.93
1.29
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
98
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
6x5
3/8 5/16
1/4 3/16
24.93 21.21 17.32 13.25
0.349 0.291 0.233 0.174
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
6x4
1/2 3/8 5/16 1/4 3/16
1/8
28.4322.37 19.0815.6211.97 8.16
0.4650.349 0.2910.2330.174 0.116*
309 264
306 260
302 257
295 252
288 246
280 238
269 230
258 220
246 211
233 199
219 188
205 177
191 165
177 152
163 141
149 129
136 119
123 107
110 96
100 87
90 79
83 72
75 66
69 60
64 56
59 52
55 48
51 44
48 41
44 39
41 36
39 34
215 163
213 162
210 160
205 157
201 154
195 148
188 144
181 139
173 132
164 126
155 120
146 112
137 105
127 98
118 91
108 84
98 77
90 70
82 64
73 57
67 52
60 48
55 43
51 40
47 37
43 34
40 32
37 30
35 28
33 25
31 24
29 22
26 21
355278 237194147 87
348273 233191145 86
340267 228186143 85
329259 221181139 83
316249 213175133 81
300237 203167128 79
282224 193159122 76
263210 181149114 73
242195 168140107 69
222179 156129100 65
201 164 142 119 91 61
181 148 129 108 84 57
161 132 116 97 75 52
142 118 104 87 68 47
124 104 91 77 60 42
109 91 80 69 53 38
9680 716048 33
8672 645442 30
7765 574938 27
7058 524334 24
6453 473931 22
5748 423629 20
5344 393325 18
4940 363123 17
4437 332822 15
31 25 20 14
19 13
6.88
33.9
25.5
1.16
1.92
4.77
24.7
18.7
1.15
1.98
7.88
33.9
17.7
1.39
1.50
5.85
29.6
22.3
1.15
1.95
3.63
19.3
14.6
1.15
2.01
6.18
28.3
14.9
1.38
1.55
5.26
24.8
13.1
1.37
1.58
4.3
20.9
11.1
1.37
1.61
3.28
16.4
8.76
1.37
1.63
2.23
11.4
6.15
1.36
1.66
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
99
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
6x2
5/16
1/4 3/16
1/8
1/2 3/8 5/16 1/4 3/16
1/8 3/8 25.03 19.82 16.9613.91 10.7 7.31 17.27 14.8312.21 9.42 6.46
0.465 0.349 0.2910.233 0.174 0.116* 0.349 0.291 0.2330.174 0.116*
Nominal Size
6x3
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
312247 211173132 76
303239 204168128 75
290230 197162124 74
273218 187155119 71
253203 175145111 68
231187 161134104 65
208 169 146 122 95 61
183 150 131 110 86 57
159 132 115 97 76 52
136 114 101 85 67 47
113 97 86 73 58 41
9582 726250 35
8070 615342 30
7060 534637 26
6052 474032 22
5346 403528 20
4840 363124 18
4236 322822 16
33 29 24 20 14
22 18 13
11
215 184 151 116 66
200 173 142 109 64
182 158 131 102 61
161 140 118 91 57
137 121 102 79 52
111 100 85 68 46
8879 695540
6861 544432
5349 423525
4339 352921
3633 292317
3028 242014
23 20 17 12
11
6.95
26.8
8.65
1.76
1.12
4.78
17.1
2.75
2.49
0.76
5.48
22.7
7.47
1.74
1.17
4.68
20.1
6.66
1.74
1.19
3.84
17
5.7
1.72
1.22
2.93
13.4
4.55
1.71
1.25
2
9.43
3.23
1.71
1.27
4.1
15.3
2.52
2.46
0.79
3.37
13.1
2.21
2.43
0.81
2.58
10.5
1.8
2.40
0.84
1.77
7.42
1.31
2.38
0.86
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
100
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
5x4
1/2 3/8 5/16 1/4 25.03 19.82 16.96 13.91
0.465 0.349 0.291 0.233
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
5x3
3/16 1/2 3/8 5/16 1/4 3/16
1/8
10.7 21.63 17.27 14.83 12.21 9.42 6.46
0.174 0.4650.349 0.2910.2330.174 0.116*
312247 211173132
307242 206169129
300237 202166127
289230 196161124
276220 188156119
262210 180148113
246197 169140108
228184 159131102
210 170 147 122 94
191 157 136 112 88
172 142 123 103 80
154 128 111 93 73
136 114 100 84 66
119 101 88 75 59
104 88 77 66 52
9177 685846
8069 605240
7261 544636
6555 494133
5850 433730
5346 393426
4841 363124
4337 332922
4035 312520
32 28 23 19
22 17
271215 184151116 74
262209 179147113 73
250200 173142109 71
235188 163134104 68
217 176 152 126 97 65
197 161 140 116 90 61
176 145 127 105 83 57
154 128 113 94 74 52
132 111 98 83 66 46
111 95 86 72 57 41
9380 736150 35
7868 615242 30
6757 524436 26
5750 443831 22
5043 393326 19
4338 343023 17
3934 312521 15
3530 282319 13
26 24 21 17 12
0 15 11
6.95
21.2
14.8
1.20
1.46
6.02
16.4
7.14
1.51
1.09
5.48
17.9
12.6
1.19
1.52
4.68
15.8
11.1
1.19
1.54
3.84
13.4
9.46
1.19
1.57
2.93
10.6
7.48
1.19
1.60
4.78
14.1
6.23
1.51
1.14
4.1
12.6
5.59
1.50
1.17
3.37
10.7
4.81
1.50
1.19
2.58
8.53
3.85
1.49
1.22
1.77
6.03
2.75
1.48
1.25
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
101
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
5x2 1/2
1/4 3/16
1/8
11.36 8.78 6.03
0.233 0.174 0.116*
5x2
3/8 5/16
1/4 3/16
1/8
14.72 12.7 10.51 8.15
5.61
0.349 0.291 0.233 0.174 0.116*
141
136
128
120
108
96
84
72
60
49
40
34
29
25
22
19
108
104
100
92
85
75
66
57
48
39
33
28
23
20
18
16
14
69
67
65
61
57
53
47
40
34
29
24
20
17
15
13
11
10
184 159 131 101 64
170 147 123 94 61
156 136 112 88 58
136 120 101 78 54
114 102 87 68 48
9384 725741
7367 584734
5651 463727
4440 363021
3633 292317
3028 242014
2423 201712
17 14 10
9
3.14
9.4
3.13
1.73
1.00
2.41
7.51
2.53
1.74
1.02
1.65
5.34
1.82
1.71
1.05
4.09
10.3
2.27
2.13
0.75
3.52
9.34
2.09
2.11
0.77
2.91
8.08
1.84
2.10
0.80
2.24
6.5
1.51
2.07
0.82
1.54
4.65
1.1
2.05
0.85
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
102
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
4x3
3/8 5/16
1/4 3/16
14.72 12.7 10.51 8.15
0.349 0.291 0.233 0.174
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
4x2 1/2
1/8
5.61
0.116
5/16
1/4 3/16
11.64 9.66 7.51
0.291 0.233 0.174
184 159 131 101 69
178 154 127 97 68
170 147 122 94 65
161 139 115 90 61
148 129 108 84 58
136 118 98 77 54
121 106 89 70 49
107 93 79 62 43
9282 705539
7870 604834
6658 514129
5549 423524
4741 363021
4036 322518
3532 282216
3128 241914
2824 211713
2422 191611
17 14 10
8
145
139
130
121
108
95
82
69
56
46
37
32
26
23
20
120
115
109
101
91
80
70
59
49
39
33
28
23
20
18
16
4.09
7.92
5
1.25
1.11
3.23
6.13
2.89
1.46
0.95
2.67
5.32
2.53
1.45
0.97
3.52
7.13
4.52
1.26
1.13
2.91 2.24 1.54
6.15 4.93 3.52
3.913.16 2.27
1.25 1.25 1.26
1.16 1.19 1.21
93
89
85
78
71
64
55
48
39
32
26
22
19
17
15
13
2.06
4.3
2.06
1.44
1.00
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
103
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
4x2
3/8 5/16
1/4 3/16
12.17 10.58 8.81 6.87
0.349 0.291 0.233 0.174
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
3 1/2x2 1/2
5/16
1/4 3/16
1/8 3/8 4.75 12.17 10.58 8.81 6.87
0.116 0.349 0.291 0.233 0.174
1/8
4.75
0.116
152 132 110 85 58
141 123 103 79 55
127 112 94 73 51
111 98 84 66 46
9383 715640
7468 584834
5753 473828
4340 363022
3532 292317
2926 231914
2321 191612
1918 161410
12 8
152 132 110 85 58
145 126 105 82 56
136 119 98 77 53
124 109 91 71 50
110 97 83 65 46
9586 725740
8073 625035
6760 534231
5349 433525
4340 352921
3633 292317
3028 242015
2523 211713
2220 181511
1918 161310
12 8
3.39
5.59
1.79
1.77
0.73
3.39
4.74
2.75
1.00
1.26
2.94
5.12
1.66
1.75
0.75
2.44
4.49
1.48
1.75
0.78
1.89 1.3
3.66 2.65
1.22 0.898
1.73 1.72
0.80 0.83
2.94
4.34
2.53
1.00
1.29
2.44
3.79
2.23
1.00
1.32
1.89
3.09
1.82
1.00
1.35
1.3
2.23
1.33
1.00
1.37
2.64
2.91
2.17
1.16
0.91
2.21
2.57
1.93
1.16
0.94
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
104
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
5/16
9.51
0.291
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
3x2 1/2
1/4
3/16 1/8
7.96 6.23 4.33
0.2330.174 0.116
3 1/2x2 1/2
119
100
77
54
113
95
73
51
106
89
70
49
96
82
65 46
86
74
58 41
75
65
51 36
64
55
44 32
52
46
37 26
42
37
31 22
34
31
24 18
29
25
20 15
23
21
17 13
20
18
15 11
171613
10
15
14
11
8
10 7
3.39
5.59
1.79
1.77
0.73
2.94
5.12
1.66
1.75
0.75
2.44
4.49
1.48
1.75
0.78
1.89 1.3
3.66 2.65
1.22 0.898
1.73 1.72
0.80 0.83
3.39
4.74
2.75
1.00
1.26
2.94
4.34
2.53
1.00
1.29
2.44
3.79
2.23
1.00
1.32
1.89
3.09
1.82
1.00
1.35
1.3
2.23
1.33
1.00
1.37
2.64
2.91
2.17
1.16
0.91
2.21
2.57
1.93
1.16
0.94
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
105
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
3x2
5/16
1/4 3/16 1/8
8.45 7.11 5.59 3.9
0.291 0.233 0.174 0.116
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
1.71
2.11
1.59
1.15
0.96
1.19
1.54
1.16
1.15
0.99
3x1 1/2
1/4 3/16
1/8
6.26 4.96 3.48
0.233 0.174 0.116
106 89 69
97 83 65
88 75 59
76 66 53
64 55 44
51 46 37
39 35 30
31 28 23
24 21 18
19 17 15
16 15 12
14 12 11
48
46
41
37
32
26
21
17
14
11
8
7
6
78 61
69 54
58 47
46 38
34 29
23 20
17 15
14 12
11 10
2.35
2.38
1.23
1.39
0.73
1.07
1.3
0.692
1.37
0.80
1.74
1.68
0.541
1.76
0.56
1.97
2.12
1.11
1.38
0.75
1.54
1.76
0.931
1.38
0.78
1.37
1.42
0.466
1.75
0.58
3x1
3/16
1/8
6.32 3.05
0.174 0.116
43
38
34
28
21
16
12
8
7
5
54
40
28
17
11
7
38
30
21
14
8
6
0.96
1.06
0.355
1.72
0.61
1.19
1.07
0.172
0.38
1.00
0.84
0.817
0.138
0.41
1.00
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
106
HSS/RECTANGLE (ERW) FOR LRFD COLUMNS
RECT
9-2
Fy = 50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Nominal Size
Effective Length KL in test
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, In 2
lx (in4)
ly (in4)
rx/ry
ry (in)
2x1 1/2
1/8
1/4 3/16
1/8 3/16
3.68 2.63
5.41 4.32 3.05
0.233 0.174 0.116 0.174 0.116
2x1
3/16
1/8
3.04 2.2
0.174 0.116
68
59
50
38
28
19
15
11
8
2 1/2x1 1/2
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
1.51
1.03
0.447
0.36
1.50
54
47
40
32
24
17
13
10
7
38
34
29
23
18
13
10
7
5
1.19 0.84
0.881 0.668
0.389 0.299
0.38 0.40
1.50 1.50
46
40
34
26
19
14
10
7
6
33
29
24
20
15
11
7
6
4
38
28
18
11
7
5
28
21
15
10
5
4
1.02
0.494
0.312
0.37
1.50
0.72
0.383
0.244
0.39
1.50
0.84
0.349
0.112
0.37
1.00
0.61
0.28
0.092
0.39
1.00
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
107
HSS/SQUARE (SAW) FOR LRFD COLUMNS
SAW
SQUARE
Fy
= -46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
32x32
Nominal Size
Effective Length KL in KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, in2
l, in4
r, in
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
30x30
28x28
26x26
5/8 1/2 3/8
259.83 210.72159.37
0.625* 0.5* 0.375*
5/8 1/2 3/8
242.82 197.11149.16
0.625* 0.5* 0.375*
5/8 1/2 3/8
5/8 1/2 3/8
225.80 183.50138.95 208.79 169.89128.74
0.625* 0.5* 0.375* 0.625* 0.5* 0.375*
2546
2546
2545
2545
2544
2543
2542
2541
2540
2538
2537
2535
2533
2531
2529
2526
2524
2521
2518
2515
2512
2509
2505
2501
2498
2494
2489
2485
2481
2476
2471
2466
2461
2456
2451
2445
2439
2433
2427
2421
2502
2502
2501
2501
2500
2499
2498
2496
2495
2493
2491
2489
2487
2484
2481
2478
2475
2472
2469
2465
2461
2457
2453
2449
2444
2439
2434
2429
2424
2418
2413
2407
2400
2394
2388
2381
2374
2367
2360
2352
2452
2451
2451
2450
2449
2448
2446
2444
2443
2440
2438
2435
2433
2430
2426
2423
2419
2415
2411
2407
2402
2397
2392
2387
2381
2375
2369
2363
2357
2350
2343
2336
2328
2321
2313
2305
2296
2288
2279
2270
1721
1721
1721
1720
1720
1719
1719
1718
1718
1717
1716
1715
1714
1713
1712
1710
1709
1708
1706
1704
1703
1701
1699
1697
1695
1693
1691
1689
1686
1684
1681
1679
1676
1673
1670
1667
1664
1661
1658
1655
1013
1013
1013
1012
1012
1012
1012
1012
1011
1011
1011
1010
1010
1009
1009
1008
1008
1007
1006
1006
1005
1004
1003
1003
1002
1001
1000
999
998
997
996
995
993
992
991
990
988
987
986
984
76.4 61.9 46.8
12300 10100 7750
12.7 12.8 12.9
1699
1699
1699
1698
1698
1697
1697
1696
1695
1694
1693
1692
1691
1689
1688
1686
1685
1683
1681
1679
1677
1675
1673
1670
1668
1665
1663
1660
1657
1654
1651
1648
1645
1642
1638
1635
1631
1627
1623
1619
1004
1004
1004
1003
1003
1003
1003
1002
1002
1002
1001
1001
1000
1000
999
998
998
997
996
995
994
993
992
991
990
989
988
987
986
984
983
982
980
979
977
976
974
973
971
969
71.4 57.9 43.8
10100 8320 6370
11.9 12 12.1
1674
1674
1673
1673
1672
1672
1671
1670
1669
1668
1667
1665
1664
1662
1660
1658
1656
1654
1652
1650
1647
1645
1642
1639
1636
1633
1630
1627
1623
1619
1616
1612
1608
1604
1600
1595
1591
1586
1582
1577
993
993
993
993
993
992
992
992
991
991
990
990
989
988
987
987
986
985
984
983
982
981
979
978
977
975
974
973
971
969
968
966
964
963
961
959
957
955
953
951
66.4 53.9 40.8
8140 6730 5150
11.1 11.2 11.2
2393
2392
2391
2390
2389
2388
2386
2384
2381
2379
2376
2373
2369
2366
2362
2357
2353
2348
2343
2337
2332
2326
2319
2313
2306
2299
2292
2284
2276
2268
2259
2251
2242
2232
2223
2213
2202
2192
2181
2170
1644
1644
1644
1643
1643
1642
1641
1640
1638
1637
1636
1634
1632
1630
1628
1626
1623
1620
1618
1615
1612
1609
1605
1602
1598
1594
1590
1586
1582
1578
1573
1568
1563
1558
1553
1548
1542
1537
1531
1525
981
981
981
981
981
980
980
979
979
978
977
977
976
975
974
973
972
971
970
968
967
965
964
962
961
959
957
956
954
952
950
948
945
943
941
939
936
934
931
928
61.4 49.9 37.8
6460 5350 4110
10.3 10.4 10.4
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
108
HSS/SQUARE (SAW) FOR LRFD COLUMNS
SAW
SQUARE
Fy
= -46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
24x24
5/8 1/2 3/8
191.78 156.28118.53
0.625* 0.5* 0.375*
22x22
5/8 1/2 3/8
174.76 142.67108.32
0.625 0.5* 0.375*
20x20
5/8 1/2 3/8
157.75 129.06 98.12
0.625 0.5* 0.375*
5/8 1/2 3/8
140.73 115.45 87.91
0.625 0.5 0.375*
2323
2322
2321
2320
2319
2317
2314
2312
2309
2306
2302
2298
2292
2286
2279
2271
2263
2254
2245
2236
2226
2215
2204
2193
2182
2170
2157
2144
2131
2117
2103
2089
2074
2059
2044
2028
2012
1996
1979
1962
2128
2127
2125
2124
2121
2118
2114
2110
2106
2100
2095
2088
2082
2074
2066
2058
2049
2040
2030
2020
2009
1998
1986
1974
1961
1948
1935
1921
1907
1892
1877
1862
1846
1830
1814
1797
1780
1763
1745
1727
1921
1920
1918
1916
1913
1910
1906
1902
1896
1891
1884
1878
1870
1862
1854
1844
1835
1825
1814
1803
1791
1779
1766
1753
1739
1725
1711
1696
1681
1665
1649
1633
1616
1599
1581
1564
1546
1527
1509
1490
1714
1713
1711
1709
1705
1702
1697
1692
1687
1680
1673
1666
1657
1649
1639
1629
1619
1607
1596
1583
1570
1557
1543
1529
1514
1499
1483
1467
1451
1434
1417
1399
1381
1363
1344
1326
1307
1287
1268
1248
Nominal Size
Effective Length KL in KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, in2
l, in4
r, in
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
1610
1610
1609
1608
1608
1607
1605
1604
1602
1601
1599
1596
1594
1592
1589
1586
1583
1580
1576
1572
1569
1564
1560
1556
1551
1546
1541
1536
1531
1525
1519
1513
1507
1501
1494
1487
1480
1473
1466
1458
967
967
967
967
966
966
965
965
964
963
962
961
960
959
958
957
955
954
952
951
949
947
945
943
941
939
937
935
932
930
927
925
922
919
916
913
910
907
904
900
56.4 45.9 34.8
5030 4170 3210
9.44 9.53 9.6
1569
1568
1568
1567
1566
1564
1563
1561
1559
1557
1554
1551
1548
1545
1542
1538
1534
1530
1525
1521
1516
1511
1505
1500
1494
1488
1481
1474
1468
1460
1453
1445
1437
1429
1421
1412
1403
1394
1385
1375
950
950
950
950
949
949
948
947
946
945
944
943
941
940
939
937
935
933
931
929
927
925
922
920
917
914
912
909
906
902
899
896
892
889
885
881
877
873
869
864
51.4 41.9 31.8
3820 3190 2460
8.62 8.72 8.78
1518
1518
1517
1516
1515
1513
1511
1508
1506
1503
1500
1496
1492
1488
1483
1479
1473
1468
1462
1456
1450
1443
1436
1428
1421
1413
1401
1389
1377
1365
1352
1338
1325
1311
1297
1283
1269
1254
1239
1224
930
930
929
929
928
928
927
926
924
923
922
920
918
916
914
912
910
908
905
902
899
896
893
890
886
883
879
875
871
867
863
858
854
849
844
839
833
828
823
817
46.4 37.9 28.8
2830 2370 1830
7.81 7.9 7.97
18x18
1403
1402
1401
1399
1397
1394
1390
1386
1382
1377
1371
1365
1358
1351
1344
1336
1327
1318
1309
1299
1289
1278
1267
1256
1244
1232
1219
1206
1193
1179
1166
1151
1137
1122
1108
1093
1077
1062
1046
1030
905
904
904
903
902
901
900
899
897
895
893
891
889
886
884
881
878
874
871
867
863
859
855
851
846
841
836
831
825
820
814
808
801
795
788
781
774
767
759
752
41.4 33.9 25.8
2020 1700 1320
6.99 7.08 7.15
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
109
HSS/SQUARE (SAW) FOR LRFD COLUMNS
SAW
SQUARE
Fy
= -50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
32x32
5/8 1/2 3/8
259.83 210.72159.37
0.625* 0.5* 0.375*
30x30
5/8 1/2 3/8
242.82 197.11149.16
0.625* 0.5* 0.375*
28x28
5/8 1/2 3/8
225.80 183.50138.95
0.625* 0.5* 0.375*
5/8 1/2 3/8
208.79 169.89128.74
0.625* 0.5* 0.375*
2683
2683
2682
2682
2681
2680
2679
2677
2676
2674
2673
2671
2668
2666
2664
2661
2658
2655
2652
2649
2645
2641
2638
2634
2629
2625
2620
2616
2611
2606
2600
2595
2589
2584
2578
2571
2565
2559
2552
2545
2639
2639
2638
2637
2636
2635
2634
2632
2631
2629
2627
2624
2622
2619
2616
2613
2609
2606
2602
2598
2594
2589
2585
2580
2575
2570
2564
2558
2552
2546
2540
2534
2527
2520
2513
2505
2498
2490
2482
2474
2588
2588
2587
2586
2585
2584
2582
2580
2578
2576
2573
2570
2567
2564
2560
2557
2552
2548
2543
2539
2534
2528
2523
2517
2511
2504
2498
2491
2483
2476
2468
2460
2452
2444
2435
2426
2417
2408
2398
2388
2529
2529
2528
2527
2526
2524
2522
2520
2517
2514
2511
2507
2504
2499
2495
2490
2485
2480
2474
2468
2462
2455
2449
2441
2434
2426
2418
2409
2401
2392
2382
2372
2362
2352
2341
2330
2319
2307
2295
2283
Nominal Size
Effective Length KL in KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, in2
l, in4
r, in
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
1809
1809
1809
1808
1808
1807
1807
1806
1805
1805
1804
1803
1801
1800
1799
1798
1796
1794
1793
1791
1789
1787
1785
1783
1781
1778
1776
1774
1771
1768
1766
1763
1760
1757
1753
1750
1747
1743
1740
1736
1062
1062
1062
1062
1062
1062
1061
1061
1061
1060
1060
1059
1059
1058
1058
1057
1057
1056
1055
1055
1054
1053
1052
1051
1050
1049
1048
1047
1046
1045
1044
1042
1041
1040
1038
1037
1036
1034
1033
1031
76.4 61.9 46.8
12300 10100 7750
12.70 12.80 12.90
1787
1787
1787
1786
1786
1785
1785
1784
1783
1782
1781
1779
1778
1777
1775
1773
1772
1770
1768
1765
1763
1761
1758
1756
1753
1750
1747
1744
1741
1738
1735
1731
1728
1724
1720
1716
1712
1708
1704
1699
1053
1053
1053
1053
1053
1052
1052
1052
1051
1051
1050
1050
1049
1049
1048
1047
1047
1046
1045
1044
1043
1042
1041
1040
1039
1037
1036
1035
1034
1032
1031
1029
1028
1026
1024
1023
1021
1019
1017
1016
71.4 57.9 43.8
10100 8320 6370
11.90 12.00 12.10
1762
1762
1761
1761
1760
1760
1759
1758
1757
1755
1754
1752
1751
1749
1747
1745
1743
1741
1738
1736
1733
1730
1727
1724
1721
1717
1714
1710
1706
1702
1698
1694
1690
1685
1680
1676
1671
1666
1661
1655
1043
1043
1043
1042
1042
1042
1041
1041
1041
1040
1039
1039
1038
1037
1036
1035
1035
1034
1032
1031
1030
1029
1028
1026
1025
1023
1022
1020
1018
1017
1015
1013
1011
1009
1007
1005
1003
1001
998
996
66.4 53.9 40.8
8140 6730 5150
11.10 11.20 11.20
26x26
1733
1732
1732
1731
1731
1730
1729
1727
1726
1725
1723
1721
1719
1717
1714
1712
1709
1706
1703
1700
1697
1693
1690
1686
1682
1677
1673
1669
1664
1659
1654
1649
1643
1638
1632
1626
1620
1614
1607
1601
1031
1031
1031
1030
1030
1030
1029
1029
1028
1027
1027
1026
1025
1024
1023
1022
1021
1019
1018
1017
1015
1013
1012
1010
1008
1007
1005
1003
1001
998
996
994
992
989
987
984
981
978
976
973
61.4 49.9 37.8
6460 5350 4110
10.30 10.40 10.40
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
110
HSS/SQUARE (SAW) FOR LRFD COLUMNS
SAW
SQUARE
Fy
= -50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
24x24
5/8 1/2 3/8
191.78 156.28118.53
0.625* 0.5* 0.375*
22x22
5/8 1/2 3/8
174.76 142.67108.32
0.625 0.5* 0.375*
20x20
5/8 1/2 3/8
157.75 129.06 98.12
0.625 0.5* 0.375*
5/8 1/2 3/8
140.73 115.45 87.91
0.625 0.5 0.375*
2460
2459
2458
2457
2455
2453
2450
2447
2444
2440
2436
2432
2427
2422
2416
2410
2404
2397
2390
2383
2375
2367
2358
2349
2339
2329
2319
2309
2297
2282
2266
2249
2232
2214
2196
2178
2159
2140
2121
2101
2313
2312
2310
2308
2305
2301
2297
2292
2287
2280
2274
2266
2258
2250
2240
2231
2220
2209
2198
2186
2173
2160
2146
2132
2117
2102
2086
2070
2053
2036
2019
2001
1982
1964
1944
1925
1905
1885
1865
1844
2088
2087
2085
2082
2079
2075
2070
2065
2059
2052
2045
2037
2028
2019
2008
1998
1986
1974
1962
1949
1935
1921
1906
1890
1874
1858
1841
1824
1806
1788
1769
1750
1730
1710
1690
1669
1649
1627
1606
1584
1863
1861
1859
1857
1853
1849
1843
1837
1831
1823
1815
1806
1796
1786
1775
1763
1751
1737
1724
1709
1694
1678
1662
1646
1628
1610
1592
1573
1554
1535
1515
1494
1473
1452
1431
1409
1387
1365
1342
1320
Nominal Size
Effective Length KL in KL (ft)
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, in2
l, in4
r, in
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
1698
1698
1697
1696
1696
1694
1693
1692
1690
1688
1686
1683
1681
1678
1675
1672
1668
1665
1661
1657
1652
1648
1643
1638
1633
1628
1622
1617
1611
1605
1598
1592
1585
1578
1570
1563
1555
1547
1539
1531
1017
1017
1016
1016
1016
1015
1015
1014
1013
1012
1011
1010
1009
1008
1007
1005
1004
1002
1000
999
997
995
993
991
988
986
984
981
979
976
973
970
967
964
961
958
954
951
947
943
56.4 45.9 34.8
5030 4170 3210
9.44 9.53 9.60
1657
1656
1656
1655
1654
1652
1650
1648
1646
1644
1641
1638
1635
1631
1627
1623
1619
1614
1609
1604
1599
1593
1587
1581
1574
1567
1560
1553
1545
1537
1529
1521
1512
1503
1494
1484
1474
1464
1454
1443
1000
1000
999
999
999
998
997
996
995
994
993
992
990
989
987
985
983
981
979
977
974
972
969
966
963
960
957
954
951
947
944
940
936
932
928
924
919
915
910
905
51.4 41.9 31.8
3820 3190 2460
8.62 8.72 8.78
1607
1606
1605
1604
1602
1600
1598
1596
1593
1589
1586
1582
1578
1573
1568
1563
1557
1551
1544
1538
1531
1523
1515
1507
1499
1490
1480
1471
1461
1451
1440
1429
1417
1403
1387
1371
1354
1337
1320
1302
980
979
979
978
978
977
976
975
973
972
970
969
967
965
962
960
957
955
952
949
946
942
939
935
932
928
923
919
915
910
905
900
895
890
885
879
873
867
861
855
46.4 37.9 28.8
2830 2370 1830
7.81 7.90 7.97
18x18
1526
1524
1523
1520
1518
1514
1510
1505
1500
1494
1487
1480
1472
1464
1455
1446
1436
1425
1414
1403
1391
1378
1365
1352
1338
1324
1309
1294
1278
1263
1247
1230
1214
1197
1179
1162
1144
1126
1108
1090
954
954
953
953
952
951
949
948
946
944
942
940
937
934
931
928
924
921
917
913
909
904
899
895
889
884
878
873
867
860
854
847
840
833
826
818
810
802
794
785
41.4 33.9 25.8
2020 1700 1320
6.99 7.08 7.15
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds. Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
111
HSS/RECTANGLE (SAW) FOR LRFD COLUMNS
SAW
RECTANGLE
Fy
= -46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Effective Length KL in KL (ft)
28x24
26x24
5/8 1/2 3/8
5/8 1/2 3/8
5/8 1/2 3/8
225.80 183.50138.95 217.30 176.70133.84 217.30 176.70133.84
0.625* 0.5* 0.375* 0.625* 0.5* 0.375* 0.625* 0.5* 0.375*
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, in2
Ix, in4
Iy, in4
Ratio, rx/ry
ry, in
30x24
32x24
Nominal Size
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
5/8 1/2 3/8
200.28 163.08123.64
0.625* 0.5* 0.375*
2435
2434
2433
2432
2431
2429
2428
2425
2423
2420
2417
2414
2410
2406
2401
2396
2390
2384
2377
2371
2364
2356
2348
2340
2332
2323
2314
2305
2295
2285
2274
2264
2253
2241
2230
2218
2206
2193
2180
2167
1665
1665
1665
1664
1663
1663
1662
1661
1659
1658
1656
1654
1652
1650
1648
1646
1643
1641
1638
1635
1632
1628
1625
1621
1617
1613
1609
1605
1601
1596
1591
1586
1581
1576
1571
1565
1559
1553
1547
1541
990
990
990
989
989
989
988
988
987
987
986
985
984
983
982
981
980
979
978
977
975
974
972
971
969
967
966
964
962
960
958
956
953
951
949
946
944
941
939
936
2413
2412
2411
2410
2409
2407
2405
2403
2401
2398
2395
2391
2387
2383
2377
2372
2366
2359
2353
2346
2338
2330
2322
2314
2305
2296
2286
2276
2266
2256
2245
2234
2222
2211
2198
2186
2173
2160
2147
2133
1654
1654
1654
1653
1652
1652
1651
1649
1648
1646
1645
1643
1641
1639
1636
1634
1631
1628
1625
1622
1619
1616
1612
1608
1604
1600
1596
1591
1587
1582
1577
1572
1566
1561
1555
1549
1543
1537
1531
1524
985
985
985
985
985
984
984
983
983
982
981
980
980
979
978
977
975
974
973
971
970
968
967
965
964
962
960
958
956
954
952
949
947
945
942
940
937
934
932
929
2387
2387
2386
2385
2383
2382
2380
2377
2375
2372
2368
2365
2361
2356
2350
2344
2338
2331
2324
2317
2309
2301
2292
2284
2274
2265
2255
2245
2234
2223
2212
2200
2188
2176
2163
2150
2137
2124
2110
2095
1642
1642
1641
1641
1640
1639
1638
1636
1635
1633
1632
1630
1628
1625
1623
1620
1617
1614
1611
1608
1605
1601
1597
1593
1589
1585
1580
1575
1571
1565
1560
1555
1549
1544
1538
1531
1525
1519
1512
1505
980
980
980
980
979
979
978
978
977
977
976
975
974
973
972
971
970
968
967
966
964
962
961
959
957
955
953
951
949
947
945
942
940
937
935
932
929
926
923
920
2358
2357
2356
2355
2354
2352
2350
2347
2344
2341
2338
2334
2330
2324
2318
2312
2306
2299
2291
2283
2275
2267
2258
2249
2239
2229
2219
2208
2197
2185
2173
2161
2149
2136
2123
2109
2095
2081
2067
2052
1627
1627
1626
1626
1625
1624
1623
1622
1620
1618
1616
1614
1612
1610
1607
1604
1602
1598
1595
1592
1588
1584
1580
1576
1572
1567
1562
1557
1552
1547
1541
1536
1530
1524
1518
1511
1504
1498
1491
1483
974
974
974
974
973
973
972
972
971
970
970
969
968
967
966
964
963
962
960
959
957
955
954
952
950
948
946
944
941
939
937
934
932
929
926
923
920
917
914
911
66.4
9880 6390 1.24 9.81 53.9
8160 5280 1.24 9.89 40.8
6250
4050
1.24
9.96
63.9
8480 6050 1.18 9.73 51.9
7010 5000 1.18 9.82 39.3
5380
3840
1.18
9.88
61.4
7210 5710 1.12 9.65 49.9
5970 4730 1.12 9.73 37.8
4580
3630
1.12
9.79
58.9
6060 5370 1.06 9.55 47.9
5020 4450 1.06 9.64 36.3
3860
3420
1.06
9.7
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
112
HSS/RECTANGLE (SAW) FOR LRFD COLUMNS
SAW
RECTANGLE
Fy
= -46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
Effective Length KL in KL (ft)
20x18
20x16
1/2 3/8 5/8 1/2 3/8
5/8 1/2 3/8 5/8 183.27 149.47113.43 166.25 135.86103.22 149.24 122.25 93.01
0.625* 0.5* 0.375* 0.625 0.5* 0.375* 0.625 0.5* 0.375*
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, in2
Ix, in4
Iy, in4
Ratio, rx/ry
ry, in
22x20
24x22
Nominal Size
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
5/8 1/2 3/8
140.73 115.45 87.91
0.625 0.5* 0.375*
2225
2225
2223
2222
2220
2217
2214
2210
2206
2202
2197
2191
2184
2177
2169
2160
2151
2141
2131
2121
2110
2098
2086
2074
2061
2048
2034
2020
2005
1990
1975
1959
1943
1927
1910
1893
1875
1857
1839
1821
1589
1589
1588
1587
1586
1585
1584
1582
1580
1578
1576
1573
1570
1567
1564
1560
1557
1553
1548
1544
1539
1534
1529
1524
1518
1513
1507
1500
1494
1487
1480
1473
1465
1458
1450
1441
1433
1424
1415
1406
959
959
958
958
958
957
956
956
955
954
953
952
950
949
948
946
944
943
941
939
937
935
932
930
928
925
922
920
917
914
911
907
904
901
897
894
890
886
882
878
2024
2023
2022
2019
2017
2013
2009
2005
1999
1993
1987
1980
1972
1964
1955
1946
1936
1925
1914
1903
1891
1878
1865
1852
1838
1823
1808
1793
1777
1761
1745
1728
1710
1693
1675
1656
1638
1619
1600
1580
1544
1543
1542
1541
1540
1538
1536
1534
1532
1529
1526
1522
1519
1515
1511
1506
1501
1496
1490
1485
1479
1472
1466
1459
1451
1444
1436
1426
1416
1405
1395
1384
1372
1361
1349
1337
1324
1312
1299
1285
940
940
940
939
939
938
937
936
935
934
932
931
929
927
926
924
921
919
917
914
911
909
906
903
899
896
892
889
885
881
877
873
869
864
859
855
850
845
839
834
1817
1816
1814
1812
1809
1805
1800
1795
1789
1783
1776
1768
1759
1750
1741
1730
1719
1708
1696
1683
1670
1656
1642
1627
1612
1596
1580
1563
1546
1529
1511
1493
1474
1455
1436
1417
1397
1377
1357
1336
1461
1460
1459
1457
1455
1453
1450
1447
1443
1439
1434
1429
1423
1417
1411
1404
1397
1389
1381
1373
1364
1354
1345
1334
1322
1309
1296
1283
1270
1256
1241
1227
1212
1197
1181
1166
1150
1134
1118
1101
917
917
917
916
915
914
913
912
910
909
907
905
903
900
898
895
892
889
886
882
879
875
871
867
862
858
853
848
843
838
832
827
821
815
809
802
796
789
782
775
1714
1712
1710
1707
1704
1699
1694
1688
1681
1674
1665
1656
1646
1636
1624
1612
1600
1586
1572
1558
1543
1527
1511
1494
1476
1459
1440
1421
1402
1383
1363
1342
1322
1301
1279
1258
1236
1214
1192
1170
1378
1377
1376
1374
1372
1369
1365
1362
1357
1352
1347
1341
1335
1328
1320
1313
1304
1296
1286
1277
1266
1254
1241
1228
1214
1200
1185
1170
1155
1139
1123
1107
1090
1073
1056
1039
1021
1004
986
968
901
901
900
900
899
897
896
894
892
890
888
885
882
879
876
873
869
865
861
856
852
847
842
836
831
825
819
812
806
799
792
785
777
769
760
750
741
731
720
710
53.9
4680 4110 1.07 8.73 43.9
3900 3420 1.07 8.82 33.3
3000
2630
1.07
8.89
48.9
3530 3060 1.07 7.91 39.9
2950 2560 1.07 8
30.3
2280
1970
1.08
8.07
43.9
2590 2210 1.08 7.1 35.9
2180 1850 1.09 7.19 27.3
1690
1440
1.08
7.25
41.4
2360 1680 1.19 6.37 33.9
1990 1410 1.19 6.46 25.8
1540
1100
1.18
6.52
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
113
HSS/RECTANGLE (SAW) FOR LRFD COLUMNS
SAW
RECTANGLE
Fy
= -46ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy46ksi
20x12
Wall Thickness
Weight Per Foot
Design Wall Thickness
5/8
123.72
0.625
Effective Length KL in KL (ft)
Nominal Size
Area, in2
Ix, in4
Iy, in4
Ratio, rx/ry
ry, in
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
16x12
18x12
5/8 1/2 3/8
115.21 95.03 72.59
0.625 0.5 0.375*
5/8
106.71
0.625
14x12
1/2 3/8
81.42 62.39
0.5 0.375
1507
1505
1501
1497
1492
1485
1477
1468
1458
1447
1434
1421
1406
1391
1375
1357
1339
1320
1300
1280
1259
1237
1214
1191
1167
1143
1119
1094
1069
1043
1018
992
966
940
914
888
862
836
810
784
1403
1401
1398
1394
1389
1382
1375
1366
1357
1346
1334
1321
1308
1293
1277
1261
1244
1225
1207
1187
1167
1146
1125
1103
1080
1058
1034
1011
987
963
939
914
890
865
840
816
791
767
742
718
1155
1153
1151
1148
1143
1138
1132
1125
1118
1109
1100
1090
1079
1067
1054
1041
1027
1013
998
982
966
949
932
915
897
878
860
841
822
802
783
763
743
723
703
683
663
644
624
604
800
799
798
796
794
792
789
786
782
777
773
767
762
756
749
743
735
728
719
711
702
693
683
673
663
652
641
630
618
606
594
582
569
556
543
528
513
498
483
468
1300
1298
1295
1291
1286
1280
1273
1264
1255
1245
1234
1221
1208
1194
1179
1164
1147
1130
1112
1093
1074
1054
1034
1013
992
970
948
926
903
880
857
834
811
788
765
742
719
696
673
650
989
988
986
983
979
974
969
962
955
948
939
930
920
909
898
886
873
860
846
832
817
802
787
771
755
738
722
705
687
670
653
635
617
600
582
565
547
530
512
495
758
756
755
753
750
746
742
738
732
726
720
713
706
698
689
680
671
661
651
640
629
618
607
595
583
570
558
545
532
519
506
493
479
466
453
439
426
413
400
387
36.4
1890
864
1.48
4.87
33.9
1450 783 1.36 4.81 27.9
1240 668 1.36 4.89 21.3
971
524
1.36
4.95
31.4
1090
702
1.25
4.73
23.9
678 536 1.12 4.73 18.3
534
422
1.12
4.8
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
114
HSS/RECTANGLE (SAW) FOR LRFD COLUMNS
SAW
RECTANGLE
Fy
= -50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Effective Length KL in KL (ft)
28x24
26x24
1/2 3/8 5/8 1/2 3/8
5/8 1/2 3/8 5/8 225.80 183.50138.95 217.30 176.70133.84 208.79 169.89128.74
0.625* 0.5* 0.375* 0.625* 0.5* 0.375* 0.625* 0.5* 0.375*
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, in2
Ix, in4
Iy, in4
Ratio, rx/ry
ry, in
30x24
32x24
Nominal Size
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
5/8 1/2 3/8
200.28 163.08123.64
0.625* 0.5* 0.375*
2571
2571
2570
2569
2567
2566
2564
2561
2558
2555
2552
2549
2545
2540
2536
2531
2526
2520
2514
2508
2501
2495
2487
2480
2472
2464
2456
2447
2438
2428
2419
2408
2396
2383
2370
2356
2342
2328
2313
2299
1754
1753
1753
1752
1752
1751
1749
1748
1747
1745
1743
1741
1739
1737
1735
1732
1729
1726
1723
1720
1716
1713
1709
1705
1701
1696
1692
1687
1682
1677
1672
1667
1661
1655
1649
1643
1637
1630
1624
1617
1040
1039
1039
1039
1039
1038
1038
1037
1037
1036
1035
1034
1033
1032
1031
1030
1029
1028
1026
1025
1023
1022
1020
1018
1017
1015
1013
1011
1009
1006
1004
1002
999
997
994
992
989
986
983
980
2549
2549
2548
2547
2545
2543
2541
2539
2536
2533
2529
2526
2521
2517
2512
2507
2501
2496
2490
2483
2476
2469
2462
2454
2446
2437
2428
2419
2409
2400
2389
2377
2364
2351
2337
2323
2308
2293
2278
2263
1743
1742
1742
1741
1740
1739
1738
1737
1736
1734
1732
1730
1728
1725
1723
1720
1717
1714
1711
1707
1704
1700
1696
1692
1687
1683
1678
1673
1668
1663
1657
1652
1646
1640
1633
1627
1620
1614
1607
1599
1035
1035
1035
1034
1034
1034
1033
1033
1032
1031
1030
1029
1029
1028
1026
1025
1024
1023
1021
1020
1018
1016
1015
1013
1011
1009
1007
1005
1003
1000
998
995
993
990
987
985
982
979
976
973
2524
2523
2522
2521
2520
2518
2516
2513
2510
2507
2503
2499
2495
2490
2485
2480
2474
2468
2461
2455
2447
2440
2432
2424
2415
2406
2397
2388
2378
2367
2356
2342
2329
2315
2300
2286
2270
2255
2239
2223
1730
1730
1729
1729
1728
1727
1726
1724
1723
1721
1719
1717
1714
1712
1709
1706
1703
1700
1697
1693
1689
1685
1681
1676
1672
1667
1662
1657
1652
1646
1640
1634
1628
1622
1615
1608
1601
1594
1587
1579
1030
1030
1029
1029
1029
1028
1028
1027
1027
1026
1025
1024
1023
1022
1021
1019
1018
1017
1015
1014
1012
1010
1008
1006
1004
1002
1000
998
996
993
991
988
985
983
980
977
974
971
967
964
2494
2494
2493
2492
2490
2488
2486
2483
2480
2476
2472
2468
2464
2459
2453
2448
2442
2435
2429
2421
2414
2406
2398
2389
2380
2371
2361
2351
2341
2329
2316
2302
2288
2273
2258
2242
2227
2210
2194
2177
1715
1715
1715
1714
1713
1712
1711
1709
1707
1706
1704
1701
1699
1696
1693
1690
1687
1684
1680
1676
1672
1668
1664
1659
1654
1649
1644
1638
1633
1627
1621
1615
1608
1601
1595
1587
1580
1573
1565
1557
1024
1024
1023
1023
1023
1022
1022
1021
1020
1020
1019
1018
1017
1015
1014
1013
1011
1010
1008
1007
1005
1003
1001
999
997
995
993
990
988
985
982
980
977
974
971
968
965
961
958
955
66.4
9880 6390 1.24 9.81
53.9
8160 5280 1.24 9.89
40.8
6250
4050
1.24
9.96
63.9
8480 6050 1.18 9.73
51.9
7010 5000 1.18 9.82
39.3
5380
3840
1.18
9.88
61.4
7210 5710 1.12 9.65
49.9
5970 4730 1.12 9.73
37.8
4580
3630
1.12
9.79
58.9
6060 5370 1.06 9.55
47.9
5020 4450 1.06 9.64
36.3
3860
3420
1.06
9.70
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
115
HSS/RECTANGLE (SAW) FOR LRFD COLUMNS
SAW
RECTANGLE
Fy
= -50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
Effective Length KL in KL (ft)
20x18
20x16
1/2 3/8 5/8 1/2 3/8
5/8 1/2 3/8 5/8 183.27 149.47113.43 166.25 135.86103.22 149.24 122.25 93.01
0.625* 0.5* 0.375* 0.625 0.5* 0.375* 0.625 0.5* 0.375*
Wall Thickness
Weight Per Foot
Design Wall Thickness
Area, in2
Ix, in4
Iy, in4
Ratio, rx/ry
ry, in
22x20
24x22
Nominal Size
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
5/8 1/2 3/8
140.73 115.45 87.91
0.625 0.5* 0.375*
2386
2385
2384
2382
2380
2377
2373
2369
2364
2359
2354
2347
2341
2334
2326
2318
2309
2299
2290
2279
2268
2257
2245
2233
2220
2207
2193
2177
2159
2142
2124
2106
2087
2067
2048
2028
2008
1987
1966
1944
1677
1677
1676
1675
1674
1673
1671
1670
1667
1665
1662
1660
1656
1653
1649
1646
1641
1637
1632
1628
1622
1617
1611
1605
1599
1593
1586
1579
1572
1565
1557
1549
1541
1532
1523
1514
1505
1495
1485
1475
1008
1008
1008
1008
1007
1006
1006
1005
1004
1003
1002
1001
999
998
996
994
993
991
989
986
984
982
979
977
974
971
968
965
962
959
955
952
948
945
941
937
933
928
924
919
2201
2199
2197
2195
2191
2187
2182
2177
2171
2164
2156
2148
2139
2129
2119
2108
2096
2084
2071
2057
2043
2028
2013
1997
1981
1964
1946
1929
1910
1891
1872
1852
1832
1811
1791
1769
1748
1726
1704
1681
1632
1631
1630
1629
1628
1626
1624
1621
1619
1616
1612
1608
1604
1600
1595
1590
1585
1579
1573
1567
1560
1553
1546
1538
1530
1522
1513
1504
1495
1485
1475
1464
1454
1442
1430
1416
1402
1387
1372
1357
990
989
989
989
988
987
986
985
984
983
981
979
978
976
974
971
969
967
964
961
958
955
952
948
945
941
937
933
929
925
920
916
911
906
901
896
890
885
879
873
1976
1974
1972
1969
1965
1961
1955
1949
1942
1935
1926
1917
1907
1896
1885
1873
1860
1846
1832
1817
1802
1786
1769
1752
1734
1715
1696
1677
1657
1637
1616
1595
1574
1552
1530
1507
1484
1461
1438
1414
1566
1565
1564
1562
1560
1557
1553
1550
1545
1540
1535
1529
1523
1516
1509
1501
1493
1484
1475
1465
1455
1444
1433
1422
1410
1397
1385
1372
1358
1344
1328
1311
1294
1277
1259
1241
1222
1204
1185
1166
967
967
966
965
965
964
962
961
959
957
955
953
951
948
945
942
939
936
932
928
924
920
916
911
906
901
896
891
885
879
873
867
861
854
847
840
833
825
817
809
1863
1861
1859
1855
1851
1846
1839
1832
1824
1815
1805
1795
1783
1771
1757
1743
1728
1713
1696
1679
1662
1643
1624
1604
1584
1563
1542
1520
1498
1475
1452
1428
1404
1380
1356
1331
1306
1281
1255
1230
1476
1475
1473
1471
1469
1465
1462
1457
1452
1447
1440
1434
1426
1419
1410
1401
1392
1382
1371
1360
1348
1336
1324
1311
1297
1283
1268
1252
1234
1216
1197
1178
1159
1140
1120
1100
1080
1060
1039
1019
951
950
950
949
948
947
945
943
941
939
936
933
930
927
923
919
915
911
906
901
896
891
885
879
873
866
860
853
846
838
830
822
814
805
796
787
777
768
756
744
53.9
4680 4110 1.07 8.73
43.9
3900 3420 1.07 8.82
33.3
3000
2630
1.07
8.89
48.9
3530 3060 1.07 7.91
39.9
2950 2560 1.07 8.00
30.3
2280
1970
1.08
8.07
43.9
2590 2210 1.08 7.10
35.9
2180 1850 1.09 7.19
27.3
1690
1440
1.08
7.25
41.4
2360 1680 1.19 6.37
33.9
1990 1410 1.19 6.46
25.8
1540
1100
1.18
6.52
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
116
HSS/RECTANGLE (SAW) FOR LRFD COLUMNS
SAW
RECTANGLE
Fy
= -50ksi
Y
X
X
Y
Design Axial Strength in kips (ф = 0.90)
Fy50ksi
20x12
Wall Thickness
Weight Per Foot
Design Wall Thickness
5/8
123.72
0.625
Effective Length KL in KL (ft)
Nominal Size
Area, in2
Ix, in4
Iy, in4
Ratio, rx/ry
ry, in
0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
16x12
18x12
5/8 1/2 3/8
115.21 95.03 72.59
0.625 0.5 0.375*
5/8
106.71
0.625
14x12
1/2 3/8
81.42 62.39
0.5 0.375
1638
1635
1631
1626
1620
1612
1603
1592
1580
1567
1552
1537
1520
1501
1482
1462
1441
1419
1395
1371
1347
1321
1295
1268
1241
1213
1185
1157
1128
1098
1069
1040
1010
980
951
921
892
863
834
805
1526
1523
1519
1514
1508
1501
1492
1482
1470
1458
1444
1429
1413
1395
1377
1358
1338
1316
1294
1272
1248
1224
1199
1174
1148
1122
1095
1068
1040
1013
985
957
929
901
874
846
818
791
763
737
1256
1253
1251
1247
1242
1236
1229
1221
1212
1201
1190
1178
1165
1152
1137
1122
1105
1089
1071
1053
1034
1015
995
974
953
932
911
889
867
845
822
800
777
755
732
710
687
665
643
621
855
854
853
851
849
846
842
839
834
829
824
818
812
805
797
790
781
772
763
754
744
733
722
711
699
687
675
662
649
635
621
607
593
578
563
548
532
515
499
482
1413
1410
1407
1402
1396
1389
1381
1371
1360
1348
1335
1320
1305
1288
1271
1253
1233
1213
1192
1171
1148
1125
1102
1078
1053
1028
1003
977
951
925
899
873
846
820
794
768
742
716
691
665
1076
1073
1071
1067
1063
1057
1051
1044
1035
1026
1016
1005
993
981
967
953
939
923
907
891
874
856
838
820
801
782
763
744
724
704
684
664
644
624
604
584
565
545
526
507
818
817
815
813
810
807
803
799
793
787
779
771
762
753
743
733
722
710
698
686
673
660
647
633
619
605
590
576
561
546
531
516
501
486
470
455
441
426
411
396
36.4
1890
864
1.48
4.87
33.9
1450 783 1.36 4.81
27.9
1240 668 1.36 4.89
21.3
971
524
1.36
4.95
31.4
1090
702
1.25
4.73
23.9
678 536 1.12 4.73
18.3
534
422
1.12
4.80
*Slender Element cross section. Width-Thickness and/or Depth-Thickness ratio λr,
exceeds Table B4.1 of the AISC 2010 Specification for Structural Steel Buildings.
Double horizontal line indicates Kl/r limit of 200.
117
LFRD COLUMNS - 42 STRESS
Y
X
X
Y
Design Stress, фc x Fcr
Fy=42
Minimum specified yield stress steel, фc = 0.90
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
1
37.80
41
34.09
81
25.26
121
15.38
161
8.71
2
37.79
42
33.91
82
25.01
122
15.15
162
8.61
3
37.78
43
33.74
83
24.76
123
14.93
163
8.50
4
37.76
44
33.56
84
24.51
124
14.70
164
8.40
5
37.75
45
33.37
85
24.26
125
14.46
165
8.30
6
37.72
46
33.19
86
24.00
126
14.23
166
8.20
7
37.68
47
33.00
87
23.75
127
14.01
167
8.10
8
37.65
48
32.81
88
23.50
128
13.79
168
8.00
9
37.61
49
32.62
89
23.24
129
13.57
169
7.91
10
37.57
50
32.42
90
22.99
130
13.36
170
7.81
11
37.52
51
32.22
91
22.73
131
13.16
171
7.73
12
37.47
52
32.02
92
22.48
132
12.97
172
7.63
13
37.41
53
31.81
93
22.22
133
12.77
173
7.55
14
37.34
54
31.61
94
21.97
134
12.58
174
7.46
15
37.28
55
31.39
95
21.72
135
12.40
175
7.38
16
37.21
56
31.18
96
21.46
136
12.22
176
7.30
17
37.13
57
30.96
97
21.21
137
12.04
177
7.21
18
37.06
58
30.75
98
20.95
138
11.86
178
7.13
19
36.97
59
30.53
99
20.70
139
11.69
179
7.05
20
36.88 60
30.30100
20.46140
11.531806.98
21
36.79 61
30.08101
20.20141
11.361816.89
22
36.69 62
29.85102
19.95142
11.201826.82
23
36.59 63
29.63103
19.70143
11.041836.74
24
36.49 64
29.39104
19.45144
10.901846.67
25
36.38 65
29.16105
19.21145
10.751856.60
26
36.26 66
28.93106
18.95146
10.601866.53
27
36.15 67
28.69107
18.71147
10.451876.46
28
36.02 68
28.45108
18.47148
10.311886.40
29
35.89 69
28.22109
18.22149
10.181896.32
30
35.77 70
27.97110
17.98150
10.041906.26
31 35.63 7127.73 111 17.74 1519.91 191 6.19
32 35.49 7227.50 112 17.49 1529.77 192 6.13
33 35.35 7327.24 113 17.26 1539.65 193 6.07
34 35.21 7427.00 114 17.02 1549.53 194 6.00
35 35.06 7526.76 115 16.78 1559.40 195 5.94
36 34.91 7626.51 116 16.54 1569.29 196 5.88
37 34.75 7726.26 117 16.31 1579.17 197 5.82
38 34.59 7826.02 118 16.07 1589.05 198 5.76
39 34.43 7925.76 119 15.84 1598.94 199 5.71
40 34.26 8025.52 120 15.61 1608.82 200 5.64
Tabulated design comprehensive stress does not apply to slender sections. When element width-to-thickness ration
exceeds λr, refer to AISC Chapter E7 of the AISC 2010 Specification for Structural Steel Buildings.
118
LFRD COLUMNS - 46 STRESS
Y
X
X
Y
Design Stress, фc x Fcr
Fy=46
Minimum specified yield stress steel, фc = 0.90
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
1
41.40
41
36.97
81
26.63
121
15.43
161
8.71
2
41.39
42
36.77
82
26.33
122
15.17
162
8.61
3
41.38
43
36.56
83
26.05
123
14.93
163
8.50
4
41.36
44
36.35
84
25.75
124
14.70
164
8.40
5
41.33
45
36.13
85
25.46
125
14.46
165
8.30
6
41.30
46
35.90
86
25.17
126
14.23
166
8.20
7
41.26
47
35.68
87
24.88
127
14.01
167
8.10
8
41.22
48
35.46
88
24.59
128
13.79
168
8.00
9
41.18
49
35.23
89
24.30
129
13.57
169
7.91
10
41.12
50
34.99
90
24.00
130
13.36
170
7.81
11
41.06
51
34.75
91
23.72
131
13.16
171
7.73
12
41.00
52
34.52
92
23.43
132
12.97
172
7.63
13
40.93
53
34.27
93
23.14
133
12.77
173
7.55
14
40.86
54
34.03
94
22.85
134
12.58
174
7.46
15
40.78
55
33.78
95
22.56
135
12.40
175
7.38
16
40.69
56
33.52
96
22.27
136
12.22
176
7.30
17
40.61
57
33.27
97
21.98
137
12.04
177
7.21
18
40.51
58
33.01
98
21.70
138
11.86
178
7.13
19
40.40
59
32.76
99
21.41
139
11.69
179
7.05
20
40.30 60
32.50100
21.12140
11.531806.98
21
40.19 61
32.23101
20.85141
11.361816.89
22
40.08 62
31.97102
20.56142
11.201826.82
23
39.95 63
31.70103
20.28143
11.041836.74
24
39.82 64
31.43104
20.00144
10.901846.67
25
39.70 65
31.16105
19.72145
10.751856.60
26
39.56 66
30.89106
19.44146
10.601866.53
27
39.42 67
30.61107
19.16147
10.451876.46
28
39.27 68
30.34108
18.89148
10.311886.40
29
39.12 69
30.05109
18.61149
10.181896.32
30
38.96 70
29.77110
18.35150
10.041906.26
31 38.81 7129.50 111 18.07 1519.91 191 6.19
32 38.65 7229.21 112 17.81 1529.77 192 6.13
33 38.48 7328.93 113 17.53 1539.65 193 6.07
34 38.30 7428.64 114 17.27 1549.53 194 6.00
35 38.13 7528.36 115 17.00 1559.40 195 5.94
36 37.95 7628.07 116 16.75 1569.29 196 5.88
37 37.76 7727.78 117 16.49 1579.17 197 5.82
38 37.57 7827.50 118 16.22 1589.05 198 5.76
39 37.38 7927.21 119 15.96 1598.94 199 5.71
40 37.18 8026.92 120 15.69 1608.82 200 5.64
Tabulated design comprehensive stress does not apply to slender sections. When element width-to-thickness ration
exceeds λr, refer to AISC Chapter E7 of the AISC 2010 Specification for Structural Steel Buildings.
119
LFRD COLUMNS - 50 STRESS
Y
X
X
Y
Design Stress, фc x Fcr
Fy=50
Minimum specified yield stress steel, фc = 0.90
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
1
45.00
41
39.79
81
27.86
121
15.43
161
8.71
2
44.99
42
39.56
82
27.52
122
15.17
162
8.61
3
44.97
43
39.31
83
27.19
123
14.93
163
8.50
4
44.95
44
39.06
84
26.86
124
14.70
164
8.40
5
44.92
45
38.81
85
26.53
125
14.46
165
8.30
6
44.88
46
38.55
86
26.21
126
14.23
166
8.20
7
44.84
47
38.29
87
25.88
127
14.01
167
8.10
8
44.79
48
38.02
88
25.55
128
13.79
168
8.00
9
44.74
49
37.76
89
25.22
129
13.57
169
7.91
10
44.67
50
37.48
90
24.89
130
13.36
170
7.81
11
44.61
51
37.21
91
24.56
131
13.16
171
7.73
12
44.52
52
36.93
92
24.24
132
12.97
172
7.63
13
44.45
53
36.65
93
23.91
133
12.77
173
7.55
14
44.36
54
36.36
94
23.58
134
12.58
174
7.46
15
44.27
55
36.07
95
23.26
135
12.40
175
7.38
16
44.16
56
35.78
96
22.93
136
12.22
176
7.30
17
44.06
57
35.48
97
22.62
137
12.04
177
7.21
18
43.95
58
35.18
98
22.30
138
11.86
178
7.13
19
43.82
59
34.89
99
21.98
139
11.69
179
7.05
20
43.71 60
34.58100
21.66140
11.531806.98
21
43.57 61
34.28101
21.35141
11.361816.89
22
43.43 62
33.98102
21.03142
11.201826.82
23
43.30 63
33.66103
20.72143
11.041836.74
24
43.15 64
33.35104
20.40144
10.901846.67
25
42.99 65
33.05105
20.10145
10.751856.60
26
42.83 66
32.73106
19.79146
10.601866.53
27
42.66 67
32.41107
19.48147
10.451876.46
28
42.49 68
32.09108
19.18148
10.311886.40
29
42.32 69
31.78109
18.88149
10.181896.32
30
42.13 70
31.45110
18.58150
10.041906.26
31 41.95 7131.13 111 18.28 1519.91 191 6.19
32 41.75 7230.80 112 17.98 1529.77 192 6.13
33 41.56 7330.48 113 17.69 1539.65 193 6.07
34 41.36 7430.16 114 17.39 1549.53 194 6.00
35 41.15 7529.83 115 17.08 1559.40 195 5.94
36 40.93 7629.50 116 16.79 1569.29 196 5.88
37 40.71 7729.17 117 16.51 1579.17 197 5.82
38 40.49 7828.84 118 16.22 1589.05 198 5.76
39 40.27 7928.51 119 15.96 1598.94 199 5.71
40 40.03 8028.19 120 15.69 1608.82 200 5.64
Tabulated design comprehensive stress does not apply to slender sections. When element width-to-thickness ration
exceeds λr, refer to AISC Chapter E7 of the AISC 2010 Specification for Structural Steel Buildings.
120
LFRD COLUMNS - 60 STRESS
Y
X
X
Y
Design Stress, фc x Fcr
Fy=60
Minimum specified yield stress steel, фc = 0.90
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
1
54.00
41
46.60
81
30.37
121
15.43
161
8.71
2
53.98
42
46.26
82
29.93
122
15.17
162
8.61
3
53.96
43
45.91
83
29.51
123
14.93
163
8.50
4
53.93
44
45.56
84
29.08
124
14.70
164
8.40
5
53.88
45
45.21
85
28.65
125
14.46
165
8.30
6
53.83
46
44.85
86
28.22
126
14.23
166
8.20
7
53.77
47
44.48
87
27.79
127
14.01
167
8.10
8
53.69
48
44.12
88
27.37
128
13.79
168
8.00
9
53.62
49
43.74
89
26.95
129
13.57
169
7.91
10
53.52
50
43.36
90
26.53
130
13.36
170
7.81
11
53.43
51
42.98
91
26.11
131
13.16
171
7.73
12
53.32
52
42.60
92
25.70
132
12.97
172
7.63
13
53.21
53
42.20
93
25.28
133
12.77
173
7.55
14
53.08
54
41.81
94
24.87
134
12.58
174
7.46
15
52.94
55
41.41
95
24.46
135
12.40
175
7.38
16
52.80
56
41.01
96
24.06
136
12.22
176
7.30
17
52.64
57
40.61
97
23.65
137
12.04
177
7.21
18
52.49
58
40.20
98
23.25
138
11.86
178
7.13
19
52.32
59
39.79
99
22.85
139
11.69
179
7.05
20
52.14 60
39.38100
22.46140
11.531806.98
21
51.95 61
38.95101
22.07141
11.361816.89
22
51.76 62
38.54102
21.67142
11.201826.82
23
51.55 63
38.12103
21.29143
11.041836.74
24
51.34 64
37.69104
20.89144
10.901846.67
25
51.12 65
37.27105
20.49145
10.751856.60
26
50.89 66
36.85106
20.11146
10.601866.53
27
50.65 67
36.42107
19.74147
10.451876.46
28
50.41 68
35.99108
19.37148
10.311886.40
29
50.16 69
35.57109
19.02149
10.181896.32
30
49.90 70
35.13110
18.67150
10.041906.26
31 49.64 7134.70 111 18.34 1519.91 191 6.19
32 49.36 7234.26 112 18.01 1529.77 192 6.13
33 49.08 7333.83 113 17.69 1539.65 193 6.07
34 48.79 7433.40 114 17.39 1549.53 194 6.00
35 48.49 7532.96 115 17.08 1559.40 195 5.94
36 48.20 7632.53 116 16.79 1569.29 196 5.88
37 47.89 7732.09 117 16.51 1579.17 197 5.82
38 47.57 7831.66 118 16.22 1589.05 198 5.76
39 47.26 7931.24 119 15.96 1598.94 199 5.71
40 46.93 8030.80 120 15.69 1608.82 200 5.64
Tabulated design comprehensive stress does not apply to slender sections. When element width-to-thickness ration
exceeds λr, refer to AISC Chapter E7 of the AISC 2010 Specification for Structural Steel Buildings.
121
LFRD COLUMNS - 65 STRESS
Y
X
X
Y
Design Stress, фc x Fcr
Fy=65
Minimum specified yield stress steel, фc = 0.90
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
1
58.49
41
49.86
81
31.35
121
15.43
161
8.71
2
58.48
42
49.47
82
30.88
122
15.17
162
8.61
3
58.45
43
49.08
83
30.39
123
14.93
163
8.50
4
58.42
44
48.66
84
29.91
124
14.70
164
8.40
5
58.36
45
48.26
85
29.44
125
14.46
165
8.30
6
58.30
46
47.84
86
28.96
126
14.23
166
8.20
7
58.22
47
47.42
87
28.49
127
14.01
167
8.10
8
58.14
48
46.99
88
28.02
128
13.79
168
8.00
9
58.06
49
46.57
89
27.55
129
13.57
169
7.91
10
57.95
50
46.12
90
27.08
130
13.36
170
7.81
11
57.83
51
45.69
91
26.63
131
13.16
171
7.73
12
57.71
52
45.24
92
26.16
132
12.97
172
7.63
13
57.57
53
44.79
93
25.71
133
12.77
173
7.55
14
57.42
54
44.34
94
25.25
134
12.58
174
7.46
15
57.26
55
43.88
95
24.81
135
12.40
175
7.38
16
57.09
56
43.42
96
24.36
136
12.22
176
7.30
17
56.91
57
42.96
97
23.92
137
12.04
177
7.21
18
56.72
58
42.49
98
23.48
138
11.86
178
7.13
19
56.53
59
42.02
99
23.04
139
11.69
179
7.05
20
56.32 60
41.55100
22.60140
11.531806.98
21
56.10 61
41.07101
22.15141
11.361816.89
22
55.87 62
40.60102
21.72142
11.201826.82
23
55.63 63
40.12103
21.29143
11.041836.74
24
55.39 64
39.63104
20.89144
10.901846.67
25
55.12 65
39.16105
20.49145
10.751856.60
26
54.86 66
38.67106
20.11146
10.601866.53
27
54.58 67
38.18107
19.74147
10.451876.46
28
54.30 68
37.69108
19.37148
10.311886.40
29
54.01 69
37.21109
19.02149
10.181896.32
30
53.70 70
36.72110
18.67150
10.041906.26
31 53.40 7136.23 111 18.34 1519.91 191 6.19
32 53.08 7235.74 112 18.01 1529.77 192 6.13
33 52.75 7335.25 113 17.69 1539.65 193 6.07
34 52.41 7434.76 114 17.39 1549.53 194 6.00
35 52.07 7534.27 115 17.08 1559.40 195 5.94
36 51.72 7633.79 116 16.79 1569.29 196 5.88
37 51.36 7733.30 117 16.51 1579.17 197 5.82
38 50.99 7832.81 118 16.22 1589.05 198 5.76
39 50.62 7932.33 119 15.96 1598.94 199 5.71
40 50.25 8031.84 120 15.69 1608.82 200 5.64
Tabulated design comprehensive stress does not apply to slender sections. When element width-to-thickness ration
exceeds λr, refer to AISC Chapter E7 of the AISC 2010 Specification for Structural Steel Buildings.
122
LFRD COLUMNS - 70 STRESS
Y
X
X
Y
Design Stress, фc x Fcr
Fy=70
Minimum specified yield stress steel, фc = 0.90
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
Kl/r
фc Fcr (ksi)
1
62.99
41
53.04
81
32.19
121
15.43
161
8.71
2
62.98
42
52.59
82
31.65
122
15.17
162
8.61
3
62.95
43
52.14
83
31.12
123
14.93
163
8.50
4
62.89
44
51.67
84
30.60
124
14.70
164
8.40
5
62.84
45
51.20
85
30.07
125
14.46
165
8.30
6
62.77
46
50.73
86
29.55
126
14.23
166
8.20
7
62.68
47
50.25
87
29.03
127
14.01
167
8.10
8
62.59
48
49.76
88
28.51
128
13.79
168
8.00
9
62.48
49
49.27
89
28.01
129
13.57
169
7.91
10
62.35
50
48.78
90
27.50
130
13.36
170
7.81
11
62.23
51
48.27
91
26.99
131
13.16
171
7.73
12
62.08
52
47.76
92
26.49
132
12.97
172
7.63
13
61.92
53
47.26
93
25.99
133
12.77
173
7.55
14
61.75
54
46.75
94
25.50
134
12.58
174
7.46
15
61.57
55
46.23
95
25.01
135
12.40
175
7.38
16
61.37
56
45.70
96
24.51
136
12.22
176
7.30
17
61.17
57
45.18
97
24.01
137
12.04
177
7.21
18
60.95
58
44.65
98
23.53
138
11.86
178
7.13
19
60.71
59
44.11
99
23.05
139
11.69
179
7.05
20
60.47 60
43.58100
22.60140
11.531806.98
21
60.22 61
43.04101
22.15141
11.361816.89
22
59.95 62
42.50102
21.72142
11.201826.82
23
59.68 63
41.96103
21.29143
11.041836.74
24
59.39 64
41.42104
20.89144
10.901846.67
25
59.09 65
40.88105
20.49145
10.751856.60
26
58.79 66
40.33106
20.11146
10.601866.53
27
58.47 67
39.79107
19.74147
10.451876.46
28
58.14 68
39.24108
19.37148
10.311886.40
29
57.80 69
38.70109
19.02149
10.181896.32
30
57.45 70
38.15110
18.67150
10.041906.26
31 57.10 7137.61 111 18.34 1519.91 191 6.19
32 56.73 7237.06 112 18.01 1529.77 192 6.13
33 56.35 7336.51 113 17.69 1539.65 193 6.07
34 55.97 7435.97 114 17.39 1549.53 194 6.00
35 55.58 7535.42 115 17.08 1559.40 195 5.94
36 55.18 7634.88 116 16.79 1569.29 196 5.88
37 54.76 7734.34 117 16.51 1579.17 197 5.82
38 54.34 7833.80 118 16.22 1589.05 198 5.76
39 53.92 7933.26 119 15.96 1598.94 199 5.71
40 53.48 8032.72 120 15.69 1608.82 200 5.64
Tabulated design comprehensive stress does not apply to slender sections. When element width-to-thickness ration
exceeds λr, refer to AISC Chapter E7 of the AISC 2010 Specification for Structural Steel Buildings.
123