HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in...

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HOLLOW STRUCTURAL SECTIONS OF NORTH AMERICA Column Load Tables

Transcript of HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in...

Page 1: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

HOLLOW STRUCTURAL SECTIONS

O F N O R T H A M E R I C A

Column Load Tables

Page 2: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

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Electric Resistance Welding (ERW) ProcessIn the tube mill, flat steel strip (1) is formed continuously around itslongitudinal axis to produce a round tube. This is done by moving thestrip through a progressive set of rolls (2-6). The strip edges (7) areheated by either high frequency induction or contact welding and thenforged together by weld rolls to create a continuous longitudinal weldwithout the addition of filler metal. The weld seam (8) is then cooledand processed through a set of sizing/shaping rolls which cold-form itinto a round (9), square (10) or rectangular (11) section.

Form-Square Weld-Square (ERW) ProcessIn the weld mill, driven forming dies progressively shape the flat strip(1) by forming the top two corners (2) of the square or rectangular tubein the initial forming station. Subsequent stations form the bottom twocorners (3) of the shape. No cold working of the sides of the shape isperformed, and the shape’s seam is welded by high-frequency contactswhen the tube is near its final shape and size. The welded tube (4) iscooled and then driven through a series of sizing stations which qualifiesthe tube’s final dimensions.

HSS Manufacturing MethodsThe transformation of steel strip into hollow structural sections (HSS) is the result of operations including forming, welding and sizing. Currentlythree methods are being used in North America for the manufacture of HSS. These methods, including two ERW methods and an SAW method, aredescribed below. Both ERW methods meet ASTM A 500 and CSA G-40.21 requirements for the manufacture of HSS, and the ERW sizes included inthis publication may be produced to either standard. The SAW method is not included as a manufacturing process in the ASTM or CSA specification.SAW sizes listed in this publication can be specified to meet desired physical and dimensional criteria of ASTM A500 and CSA G-40.21

Submerged Arc Weld (SAW) ProcessTwo identical pieces of flat strip (1) are placed in a press brake andformed into two identical halves (2) of a finished tube size. A backup baris tack welded to each leg of one of the half-sections (3). The two half-sections are fitted together toe-to-toe (4) and welded by the submergedarc process to complete the square or rectangular section (5).

1

2

34

5 6 7

8

9 10 11

1 12 23 3

4

1 2 3 4

5

2 1

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O F N O R T H A M E R I C A

STI/HSS Member Companies

Atlas Tube, Inc.200 Clark Street, P.O. Box 970Harrow, Ontario N0R 1G0Telephone: (519) 738-3541

(800) 265-6912Fax: (519) 738-3537

Bull Moose Tube Company1819 Clarkson Road, Suite 100Chesterfield, MO 63017Telephone: (636) 537-2600

(800) 325-4467Fax: (636) 537-5848

Eugene Welding CompanyP.O. Box 249Marysville, MI 48040Telephone: (810) 364-7421

(800) 336-3926Fax: (810) 364-4347

Hanna Steel CorporationP.O. Box 558, Fairfield, AL 35064Telephone: (205) 780-1111

(800) 633-8252Fax: (205) 783-8296

Hannibal Industries, Inc.P.O. Box 58814, 3851 Santa Fe Ave.Los Angeles, CA 90058Telephone: (323) 588-4261Fax: (323) 589-5640

Independence Tube Corporation6226 W. 74th StreetChicago, IL 60638-6196Telephone: (708) 496-0380

(800) 376-6000Fax: (708) 563-1950

IPSCO Tubulars Inc.P.O. Box 18, 2011 7th AvenueCamanche, IA 52730Telephone: (563) 242-0000

(800) 950-4772Fax: (563) 242-9137

LTV Copperweld1855 East 122nd Street Chicago, IL 60633 Telephone: (800) 733-5683 Fax: (773) 646-6128(In Canada)14 Holtby AvenueBrampton, OntarioCanada L6X 2M3Telephone: (905) 451-2400

(800) 268-3005Fax: (905) 840-4716

Maverick Tube Corporation16401 Swingley Ridge Road,Suite 700Chesterfield, MO 63017Telephone: (314) 733-1600

(800) 840-8823Fax: (314) 733-1677

Novamerican Steel Inc.2175 Hymus BoulevardDorval, Quebec, Canada H9P 1J8Telephone: (514) 335-6682

(800) 361-1496Fax: (514) 683-5285(In United States)600 Dean Sievres PlaceMorrisville, PA 19067Telephone: (215) 295-8813Fax: (215) 295-8798

Productos Laminados de Monterrey, SA de CVHeadquarters & Monterrey PlantAve. Lazaro Cardenas 1525 Pte.Col. Nino ArtilleroMonterrey, N.L. Mexico C.P. 64280Telephone: (8) 351-1625

(8) 351-1070Fax: (8) 351-0322(U.S. Office)Prolamsa, Inc.12603 SW Freeway, Suite 521Stafford, TX 77477Telephone: (281) 494-0900Fax: (281) 494-0990

Valmont Industries (Structural Tube Division)P.O. Box 2620Tulsa, OK 74101Telephone: (918) 583-5881

(800) 331-3002Fax: (918) 585-1927

Vest, Incorporated6023 Alcoa AvenueLos Angeles, CA 90058Telephone: (323) 581-8823

(800) 421-6370Fax: (323) 581-3465

Welded Tube of Canada Limited111 Rayette RoadConcord, Ontario,Canada L4K 2E9Telephone: (905) 669-1111

(800) 565-8823Fax: (905) 738-4070

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Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections (HSS) manufac-tured by the electric resistance welding (ERW) method and for square and rectangular HSS manufactured by the submerged arc welding (SAW)method. Tables of allowable stresses for compression members of 42 ksi to 70 ksi specified minimum yield stress are also included.

The allowable axial compressive loads, in kips, and the allowable axial compressive stresses, in ksi, have been calculated in accordance with the1989 “Specification for Structural Steel Buildings - Allowable Stress Design and Plastic Design” published by the American Institute of SteelConstruction. The allowable loads are based upon section property data for HSS that were recalculated in 1996 to account for today’s more precisemanufacturing methods. Recalculated 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 theERW and SAW manufacturing methods.

Tables for round HSS are presented for Fy = 42 ksi, Fy = 46 ksi, and Fy = 50 ksi. Only round sizes produced by the ERW manufacturing methodare included.

The allowable axial loads have been calculated for effective lengths, KL, with respect to the least radius of gyration (r or ry) varying from 0 to 40feet. AlSC “Specification” Appendix B5.2 is used to calculate the allowable loads for members with slender elements. These members are identified inthe tables with an asterisk (*) immediately following the design wall thickness parameter.

The properties at the bottom of the tables are useful for determining column strength with respect to the major axis and for the design of columnssubject to combined axial and bending loads.

Refer to part 3, Column Design, in the AISC 9th Edition “Manual of Steel Construction” for a discussion of effective length, strength about themajor axis, and combined axial and bending loading (interaction). Symbols in these tables follow those used in the AISC “Manual”.

The tabulated values of allowable axial compressive stresses on pages 124 through 126, are calculated in accordance with the requirements of AISC “Specification” Chapter E, Formulae (E2-1) and (E2-2).

“Designs for the 21st Century”

Page

How to Use the Column Load Tables ……………………… 5

Column Load Tables:

Square HSS (ERW) Fy = 46 ksi ………………… 6Rectangular HSS (ERW) Fy = 46 ksi …………………14

Square HSS (ERW) Fy = 50 ksi ………………… 36Rectangular HSS (ERW) Fy = 50 ksi …………………44

Square HSS (SAW) Fy = 46 ksi …………………67Rectangular HSS (SAW) Fy = 46 ksi …………………69

Square HSS (SAW) Fy = 50 ksi …………………72Rectangular HSS (SAW) Fy = 50 ksi …………………74

Page

Round HSS (ERW) Fy = 42 ksi …………………………… 78Round HSS (ERW) Fy = 46 ksi ……………………………93Round HSS (ERW) Fy = 50 ksi ………………………… 108

Allowable Stress Tables

Fy=42 ksi ………………………………………………… 124Fy=46 ksi ………………………………………………… 124

Fy=50 ksi ………………………………………………… 125Fy=60 ksi ………………………………………………… 125

Fy=65 ksi ………………………………………………… 126Fy=70 ksi ………………………………………………… 126

Foreword

Table of Contents

The information presented in this publication has been prepared in accordance with recognized engineering principles and is for general information only.While it isbelieved to be accurate, this information should not be used or relied upon for any specific application without competent professional examination and verification of itsaccuracy, suitability, and applicability by a licensed professional engineer, designer, or architect.The publication of the material contained herein is not intended as arepresentation 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 generalor 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 bemodified 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 andincorporate it by reference at the time of the initial publication of this edition.

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Example I

Select the lightest 8-inch square ERW HSS column of Fy = 46 ksi(ASTM A500 Gr. B) to support a concentrated axial compressiveload of 152 kips. The largest effective length, KL, is 20 feet.

Enter the Fy = 46 ksi table (page 8) for the 8-inch square ERW HSS.Read across the row at KL = 20 and note the following:

8 x 8 x 5/8 can carry 296 kips > 152 kips - O.K.x 1/2 can carry 247 kips > 152 kips - O K.x 3/8 can carry 193 kips > 152 kips - O.Kx 5/16 can carry 163 kips > 152 kips - O.K.x 1/4 can carry 133 kips < 152 kips - No Good

Select: 8 x 8 x 5/16 HSS (Weight = 31.84 lbs./ft.)

Example II

Select the lightest square ERW HSS column of Fy = 46 ksi (ASTM A500 Gr. B) to support a concentrated axial compressiveload of 120 kips. The largest effective length, KL, is 14 feet.

Enter the Fy = 46 ksi tables for square HSS. Read across the rows at KL = 14 and note the following:

5 x 5 x 1/2 can carry 125 kips > 120 kips - O.K. (Weight = 28.43 lbs./ft.) (page 10)

5 1/2 x 5 l/2 x 3/8 can carry 124 kips > 120 kips - O.K. (Weight = 24.93 lbs. /ft.) (page 9)

6 x 6 x 5/16 can carry 124 kips > l20 kips - O.K. (Weight = 23.34 lbs./ft.) (page 9)

7 x 7 x l/4 can carry 130 kips > 120 kips - O.K. (Weight = 22.42 lbs./ft.) (page 8)

8 x 8 x 1/4 can carry 158 kips > 120 kips - O.K. (Weight = 25.82 lbs./ft.) (page 8)

9 x 9 x 3/16 can carry 129 kips > 120 kips - O.K.(Weight = 22.18 lbs./ft.) (page 7)

Final Selection: 9 x 9 x 3/16 HSS (Weight = 22. l8 lbs./ft.)

Example III

Select the lightest 10-inch x 6-inch rectangular ERW HSS columnof Fy = 50 ksi (ASTM A500 Gr. C) to support a concentrated axialcompressive load of 220 kips. The effective length, KL, with respectto the minor axis is 16 feet. The effective length, KL, with respect tothe major axis is 30 feet.

Enter the Fy = 50 ksi table (page 51) for the 10-inch x 6-inchrectangular ERW HSS. Read across the row at KL = 16 and note thefollowing:

10 x 6 x 5/8 can carry 305 kips > 220 kips - O.K. x 1/2 can carry 256 kips > 220 kips - O.K. x 3/8 can carry 200 kips < 220 kips - No Good

Tentatively select: 10 x 6 x 1/2rx / ry= 1.49

Equivalent effective length for the major axis:30 / 1.49 = 20.1 ft. > 16 ft. Therefore major axis governs.

Enter the same table, read across the row at KL = 20.1 and note the following:

10 x 6 x 5/8 can carry 229 kips (interpolated) > 220 kipsrx / ry= 1.50 - O.K.

10 x 6 x 1/2 can carry 195 kips (interpolated) < 220 kips - No Good

Final Selection: 10 x 6 x 5/8 HSS (Weight= 59.32 lbs./ft.)

How To Use The Column Load Tables

Page 6: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

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Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

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PROPERTIES

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 46 ksi

16 x 16 14 x 14 12 x 12

5/8 1/2 3/8 5/16 5/8 1/2 3/8 5/16 5/8 1/2 3/8 5/16 1/4

127.37 103.30 78.52 65.87 110.36 89.68 68.31 57.36 93.34 76.07 58.10 48.86 39.43

0.581 0.465 0.349* 0.291* 0.581 0.465 0.349 0.291* 0.581 0.465 0.349 0.291* 0.233*

966 781 552 418 836 679 516 392 709 577 442 365 259958 775 549 416 828 673 511 389 701 570 437 362 257954 771 547 415 824 669 509 388 697 567 434 360 256949 768 545 414 819 665 506 387 692 563 431 358 255944 764 543 412 814 661 503 385 687 559 428 357 254

939 760 541 411 809 657 500 383 681 554 425 355 253934 755 539 409 803 653 496 382 675 550 421 352 251928 751 537 408 798 648 493 380 669 545 417 350 250923 746 534 406 792 643 489 378 663 540 414 347 248917 742 532 405 785 638 486 376 656 534 410 343 247

910 737 530 403 779 633 482 374 649 529 405 340 245904 732 527 401 772 628 478 372 642 523 401 336 243897 726 524 399 765 622 473 369 635 517 397 333 241891 721 522 397 758 616 469 367 627 511 392 329 240884 715 519 395 751 610 465 365 619 505 387 325 238

876 710 516 393 743 604 460 362 611 498 382 321 236869 704 513 391 735 598 456 359 603 492 377 317 233862 698 510 389 728 592 451 357 594 485 372 312 231854 691 506 387 719 585 446 354 585 478 367 308 229846 685 503 385 711 578 441 351 576 471 361 303 227

838 679 500 382 702 572 436 348 567 463 356 299 224829 672 496 380 694 565 430 345 558 456 350 294 222821 665 492 377 685 557 425 342 548 448 344 289 219812 658 489 375 675 550 420 339 538 440 338 284 217804 651 485 372 666 542 414 336 528 432 332 279 214

795 644 481 369 657 535 408 332 517 424 326 274 211785 637 477 367 647 527 402 329 507 415 320 269 208776 630 473 364 637 519 396 325 496 407 313 263 205767 622 468 361 627 511 390 321 485 398 307 258 202757 614 464 358 616 503 384 317 474 389 300 252 198

747 607 460 355 606 494 378 313 462 380 293 247 195737 599 455 352 595 486 372 309 451 371 286 241 191727 591 450 349 585 477 365 305 439 361 279 235 188717 582 444 345 574 468 359 301 427 351 272 229 184707 574 438 342 562 460 352 296 415 342 264 223 180

696 566 432 338 551 450 345 291 402 332 257 217 176685 557 426 335 539 441 338 285 389 322 249 210 171674 548 419 331 528 432 331 279 376 311 241 204 165663 540 412 327 516 422 324 273 363 301 234 197 160652 531 406 324 504 413 317 267 350 290 225 191 155

35.0 28.3 21.5 18.1 30.3 24.6 18.7 15.7 25.7 20.9 16.0 13.4 10.8

1370 1130 873 739 896 743 577 490 548 457 357 304 248

6.25 6.31 6.37 6.39 5.44 5.49 5.55 5.58 4.62 4.68 4.73 4.76 4.79

0.204 0.200 0.197 0.196 0.237 0.232 0.227 0.224 0.281 0.274 0.269 0.264 0.261

205 169 130 110 134 111 86.2 73.2 81.8 68.2 53.3 45.4 37.0

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

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Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

21.0 17.2 13.2 11.1 8.96 6.76 15.3 11.8 9.92 8.03 6.06

304 256 202 172 141 108 182 145 124 102 78.2

3.80 3.86 3.92 3.94 3.97 4.00 3.45 3.51 3.54 3.56 3.59

0.345 0.336 0.327 0.323 0.318 0.313 0.378 0.366 0.360 0.354 0.349

45.4 38.2 30.2 25.7 21.1 16.1 27.2 21.7 18.5 15.2 11.7

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PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

5/8 1/2 3/8 5/16 1/4 3/16 1/2 3/8 5/16 1/4 3/16

76.33 62.46 47.90 40.35 32.63 24.73 55.66 42.79 36.10 29.23 22.18

0.581 0.465 0.349 0.291 0.233* 0.174* 0.465 0.349 0.291 0.233 0.174*

580 475 364 306 239 152 422 326 274 222 145571 468 359 302 236 151 416 321 270 218 144567 464 356 300 235 150 412 318 267 216 143562 460 353 297 234 149 408 315 265 214 142556 456 350 295 232 148 403 311 262 212 141

550 451 347 292 230 148 398 308 259 210 140544 446 343 289 229 147 393 304 256 207 139538 441 339 285 227 146 388 300 252 204 137531 436 335 282 225 144 382 295 249 201 136524 430 331 278 223 143 376 291 245 198 135

516 424 326 275 220 142 370 286 241 195 133509 418 322 271 218 141 364 281 237 192 132501 411 317 267 216 139 357 276 233 189 130492 405 312 263 212 138 350 271 228 185 129484 398 307 258 209 137 343 266 224 182 127

475 391 301 254 205 135 335 260 219 178 125466 384 296 249 202 134 328 254 215 174 123457 376 290 245 198 132 320 248 210 170 121447 368 284 240 194 130 312 242 205 166 119437 360 279 235 190 129 303 236 199 162 117

427 352 272 230 186 127 295 230 194 158 115416 344 266 224 182 125 286 223 188 153 112406 335 260 219 178 123 277 216 183 149 110395 327 253 214 173 121 267 209 177 144 107384 318 247 208 169 119 258 202 171 139 104

372 309 240 202 164 116 248 195 165 134 102360 299 233 196 160 114 238 187 159 129 98348 290 225 190 155 112 228 180 153 124 95336 280 218 184 150 109 217 172 146 119 91324 270 211 178 145 106 207 164 139 114 87

311 260 203 172 140 103 196 155 133 108 83298 249 195 165 135 100 184 147 126 103 79284 239 187 159 129 97 173 138 118 97 74271 228 179 152 124 94 163 130 112 91 70257 216 171 145 118 90 154 123 105 86 66

243 205 162 138 113 86 146 116 99 81 62230 194 154 131 107 82 138 110 94 77 59218 184 146 124 101 78 131 104 89 73 56207 175 138 117 96 74 124 99 85 69 53197 166 131 112 92 70 118 94 81 66 51

10 x 10 9 x 9Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 46 ksi

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

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Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

5/8 1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16

59.32 48.85 37.69 31.84 25.82 19.63 50.81 42.05 32.58 27.59 22.42 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

453 373 287 242 196 138 386 320 248 209 170 129444 366 282 238 193 136 378 313 242 205 167 126439 362 279 235 191 135 373 309 239 203 165 125434 358 276 232 188 134 367 305 236 200 163 123428 353 272 229 186 133 361 300 232 197 160 121

422 348 268 226 184 131 355 295 228 193 157 119415 342 264 223 181 130 348 289 224 190 155 117408 337 260 219 178 129 340 283 220 186 152 115401 331 256 216 175 127 332 277 215 182 148 113393 325 251 212 172 125 324 270 210 178 145 110

385 318 246 208 169 124 315 263 205 174 142 107376 311 241 203 165 122 306 256 199 169 138 105367 304 236 199 162 120 297 248 194 164 134 102358 297 230 194 158 118 287 240 188 160 130 99349 289 224 190 154 116 277 232 181 154 126 96

339 281 218 185 150 113 266 223 175 149 122 93328 273 212 180 146 111 255 215 169 144 118 89318 264 206 174 142 108 244 206 162 138 113 86307 256 199 169 137 105 232 196 155 132 108 83296 247 193 163 133 101 220 186 148 126 104 79

284 237 186 158 128 98 208 176 140 120 99 75272 228 179 152 124 94 195 166 132 114 94 71260 218 171 146 119 91 182 155 124 107 88 68248 208 164 140 114 87 168 144 116 100 83 63235 198 156 133 109 83 155 133 108 93 77 59

222 187 148 127 103 79 143 123 100 86 72 55208 176 140 120 98 75 133 114 92 80 66 51194 165 132 113 93 71 123 106 86 74 62 47181 154 123 106 87 67 115 99 80 69 58 44169 144 115 99 81 63 107 92 75 65 54 41

158 135 108 93 76 59 101 87 70 61 50 39148 126 101 87 71 55 94 81 66 57 47 36140 119 95 82 67 52 89 76 62 53 44 34132 112 90 77 63 49 84 72 58 50 42 32124 106 85 73 60 46 79 68 55 48 40 30

117 100 80 69 56 43 75 64 52 45 37 29111 95 76 65 53 41 71 61 49 43 35 27105 90 72 62 51 39 67 58 47 40 34 26100 85 68 59 48 37 64 55 44 38 32 2495 81 65 56 46 35 60 52 42 36 30 23

16.4 13.5 10.4 8.76 7.10 5.37 14.0 11.6 8.97 7.59 6.17 4.67

146 125 99.6 85.6 70.7 54.4 93.3 80.5 64.9 56.1 46.5 36.0

2.99 3.04 3.10 3.13 3.15 3.18 2.58 2.63 2.69 2.72 2.75 2.77

0.449 0.432 0.418 0.409 0.402 0.395 0.525 0.504 0.484 0.474 0.464 0.454

21.8 18.7 14.9 12.8 10.6 8.12 13.9 12.0 9.69 8.38 6.94 5.38

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PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

8 x 8 7 x 7Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 46 ksi

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

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Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

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Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

5/8 1/2 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8

42.30 35.24 27.48 23.34 19.02 14.53 9.86 24.93 21.21 17.32 13.25 9.01

0.581 0.465 0.349 0.291 0.233 0.174 0.116* 0.349 0.291 0.233 0.174 0.116*

323 269 209 177 145 110 65 190 161 132 100 62314 262 204 173 141 107 64 185 157 128 98 61309 258 201 170 139 106 63 181 154 126 96 60303 253 197 167 137 104 62 178 151 123 94 59297 248 193 164 134 102 62 174 148 121 92 58

290 242 189 161 131 100 61 169 144 118 90 57282 236 185 157 128 98 60 165 140 115 88 56274 230 180 153 125 95 59 160 136 111 85 55266 223 175 149 122 93 58 154 132 108 82 54257 216 169 144 118 90 57 149 127 104 80 53

248 208 164 140 114 87 55 143 122 100 77 51238 201 158 135 110 84 54 137 117 96 74 50227 192 152 129 106 81 53 130 112 92 70 48217 184 145 124 102 78 51 124 106 87 67 46206 175 138 119 98 75 49 116 100 83 64 44

194 166 132 113 93 71 48 109 94 78 60 41182 156 124 107 88 68 46 102 88 73 56 39169 146 117 101 83 64 44 94 81 67 52 36156 136 109 94 78 60 41 85 75 62 48 33143 125 101 87 73 56 39 77 68 56 44 31

130 114 93 81 67 52 36 70 61 51 40 28118 104 84 74 61 48 33 64 56 46 36 25108 95 77 67 56 44 30 58 51 42 33 2399 87 71 62 52 40 28 54 47 39 30 2191 80 65 57 48 37 26 49 43 36 28 20

85 74 60 53 44 34 24 46 40 33 26 1878 69 56 49 41 32 22 42 37 31 24 1773 64 52 45 38 30 20 39 34 29 22 1668 60 49 42 35 28 19 37 32 27 21 1563 56 45 40 33 26 18 34 30 25 20 14

59 52 43 37 31 24 17 32 28 23 18 1356 49 40 35 29 23 16 30 26 22 17 1252 46 38 33 27 21 15 28 25 21 16 1149 43 35 31 26 20 14 27 23 19 15 1147 41 33 29 24 19 13 ==== 22 18 14 10

==== ====44 39 32 27 23 18 12 14 9

==== 37 30 26 22 17 12 ==== ======== 28 25 21 16 11

==== ==== 20 15 11==== ==== ====

11.7 9.74 7.58 6.43 5.24 3.98 2.70 6.88 5.85 4.77 3.63 2.46

55.1 48.2 39.4 34.3 28.6 22.3 15.5 29.7 25.9 21.7 17.0 11.8

2.17 2.23 2.28 2.31 2.34 2.37 2.39 2.08 2.11 2.13 2.16 2.19

0.637 0.606 0.577 0.562 0.550 0.535 0.523 0.637 0.621 0.604 0.587 0.573

8.23 7.20 5.88 5.12 4.27 3.33 2.31 4.44 3.87 3.24 2.54 1.76

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PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

6 x 6 5 1/2 x 51/2

Fy = 46 ksi

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 10: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

10

Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

1/2 3/8 5/16 1/4 3/16 1/8 1/2 3/8 5/16 1/4 3/16 1/8

28.43 22.37 19.08 15.62 11.97 8.16 25.03 19.82 16.96 13.91 10.70 7.31

0.465 0.349 0.291 0.233 0.174 0.116* 0.465 0.349 0.291 0.233 0.174 0.116

217 171 145 119 91 59 192 151 129 106 81 55210 165 141 115 88 58 185 146 125 102 78 53206 162 138 113 86 57 180 142 122 100 76 52201 158 135 110 84 56 175 138 118 97 74 51195 154 131 108 82 55 169 134 115 94 72 49

189 149 127 104 80 54 163 129 111 91 70 48183 144 123 101 77 53 156 124 107 88 67 46176 139 119 98 75 51 148 119 102 84 65 44168 134 114 94 72 49 140 113 97 80 62 42161 128 109 90 69 47 132 107 92 76 59 40

152 121 104 86 66 45 123 100 87 72 55 38144 115 99 82 63 43 114 93 81 67 52 36135 108 93 77 60 41 104 86 75 62 48 33125 101 87 72 56 39 94 78 68 57 44 31115 93 81 67 52 36 83 70 62 52 40 28

105 86 75 62 49 34 73 62 55 47 36 2694 77 68 57 44 31 65 55 49 41 32 2384 69 61 51 40 28 58 49 43 37 29 2075 62 55 46 36 25 52 44 39 33 26 1868 56 49 42 33 23 47 40 35 30 23 16

61 51 45 38 30 21 42 36 32 27 21 1556 46 41 34 27 19 39 33 29 25 19 1451 42 37 31 25 17 35 30 27 23 18 1247 39 34 29 23 16 32 28 24 21 16 1143 36 32 27 21 15 30 25 22 19 15 11

40 33 29 25 19 14 28 23 21 18 14 1037 31 27 23 18 13 ==== 22 19 16 13 935 29 25 21 17 12 ==== 18 15 12 832 27 23 20 16 11 ==== ==== 11 830 25 22 18 15 10 ==== ====

====23 20 17 14 10

==== ==== 16 13 9==== ==== 8

====

7.88 6.18 5.26 4.30 3.28 2.23 6.95 5.48 4.68 3.84 2.93 2.00

26.0 21.7 19.0 16.0 12.6 8.80 18.0 15.3 13.5 11.4 9.02 6.35

1.82 1.87 1.90 1.93 1.96 1.99 1.61 1.67 1.70 1.73 1.75 1.78

0.758 0.712 0.692 0.672 0.651 0.634 0.869 0.806 0.780 0.758 0.731 0.709

3.88 3.24 2.84 2.39 1.88 1.31 2.69 2.28 2.02 1.70 1.35 0.948

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PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

5 x 5 4 1/2 x 41/2

Fy = 46 ksi

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253/ FyNote: Double Horizontal Line indicates k l/r limit of 200.

Page 11: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

11

Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

6.02 4.78 4.10 3.37 2.58 1.77 4.09 3.52 2.91 2.24 1.54

11.9 10.3 9.14 7.80 6.21 4.40 6.48 5.84 5.04 4.05 2.90

1.41 1.46 1.49 1.52 1.55 1.58 1.26 1.29 1.32 1.35 1.37

1.01 0.928 0.897 0.864 0.831 0.805 1.10 1.05 1.01 0.968 0.929

1.78 1.54 1.36 1.16 0.927 0.657 0.968 0.872 0.753 0.605 0.433

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PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

1/2 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8

21.63 17.27 14.83 12.21 9.42 6.46 14.72 12.70 10.51 8.15 5.61

0.465 0.349 0.291 0.233 0.174 0.116 0.349 0.291 0.233 0.174 0.116

166 132 113 93 71 49 113 97 80 62 43159 126 108 89 68 47 107 92 76 59 41154 123 105 87 67 46 103 89 74 57 39149 119 102 84 65 44 99 86 71 55 38142 114 98 81 62 43 94 82 68 52 36

136 109 94 78 60 41 89 77 64 50 34128 103 89 74 57 39 83 72 60 47 32121 98 85 70 54 37 77 67 56 44 30112 91 79 66 51 35 70 61 52 41 28103 85 74 62 48 33 63 55 47 37 26

94 78 68 57 44 31 55 49 42 33 2384 70 62 52 41 28 47 42 36 29 2173 62 55 47 37 26 40 36 31 25 1863 54 48 41 33 23 34 31 27 22 1555 47 42 36 29 20 30 27 23 19 13

48 41 37 32 25 18 26 24 21 17 1243 37 33 28 22 16 23 21 18 15 1038 33 29 25 20 14 21 19 16 13 934 29 26 22 18 13 19 17 15 12 831 26 24 20 16 11 17 15 13 11 7

28 24 21 18 15 10 15 14 12 10 726 22 20 17 13 9 ==== ==== 11 9 623 20 18 15 12 9 ==== ==== ====

==== 18 16 14 11 8==== ==== 13 10 7

==== ====7

====

4 x 4 3 1/2 x 3 1/2

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Page 12: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

12

Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

3/8 5/16 1/4 3/16 1/8 5/16 1/4 3/16 1/8 1/4 3/16 1/8

12.17 10.58 8.81 6.87 4.75 8.45 7.11 5.59 3.90 6.26 4.96 3.48

0.349 0.291 0.233 0.174 0.116 0.291 0.233 0.174 0.116 0.233 0.174 0.116

94 81 67 52 36 65 54 43 30 48 38 2688 76 63 49 34 60 50 39 27 44 35 2484 73 61 47 33 56 47 37 26 41 32 2379 69 58 45 31 52 44 35 24 37 30 2174 64 54 42 29 47 40 32 22 33 27 19

68 60 50 39 27 42 36 29 20 29 23 1761 54 46 36 25 36 31 25 18 24 20 1454 49 41 33 23 29 26 21 16 18 15 1247 42 36 29 21 23 21 17 13 14 12 939 36 31 25 18 19 17 14 10 12 10 7

32 29 26 21 15 16 14 12 9 10 8 627 25 22 18 13 13 12 10 7 8 7 523 21 18 15 11 11 10 8 6 7 6 420 18 16 13 9 10 9 7 5 ==== ==== 417 16 14 11 8 ==== 7 6 5 ====

==== ====15 14 12 10 7 413 12 11 9 6 ====

==== 11 10 8 6==== ==== 7 5

==== ====

3.39 2.94 2.44 1.89 1.30 2.35 1.97 1.54 1.07 1.74 1.37 0.96

3.77 3.45 3.02 2.46 1.78 1.82 1.63 1.35 0.998 1.13 0.952 0.712

1.05 1.08 1.11 1.14 1.17 0.879 0.908 0.937 0.965 0.805 0.835 0.863

1.35 1.28 1.21 1.15 1.10 1.61 1.51 1.43 1.34 1.73 1.62 1.52

0.563 0.515 0.451 0.367 0.266 0.272 0.243 0.202 0.149 0.169 0.142 0.106

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PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

3 x 3 2 1/2 x 2 1/2 2 1/4 x 2 1/4

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Page 13: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

13

Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

1.51 1.19 0.84 1.02 0.93 0.67 0.84 0.61 0.67 0.49

0.745 0.640 0.486 0.405 0.312 0.246 0.235 0.188 0.121 0.101

0.703 0.732 0.761 0.630 0.579 0.608 0.528 0.556 0.425 0.454

2.03 1.86 1.73 2.20 2.42 2.21 2.68 2.43 3.46 3.03

0.111 0.096 0.073 0.060 0.047 0.037 0.035 0.028 0.018 0.015

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1/4 3/16 1/8 3/16 3/16 1/8 3/16 1/8 3/16 1/8

5.41 4.32 3.05 3.68 3.36 2.42 3.04 2.20 2.40 1.78

0.233 0.174 0.116 0.174 0.174 0.116 0.174 0.116 0.174 0.116

42 33 23 28 26 18 23 17 18 1437 30 21 25 22 16 20 14 15 1134 27 19 22 19 14 17 13 12 930 24 17 19 16 12 14 10 8 626 21 15 16 13 10 10 8 5 4

21 18 13 12 9 7 7 5 3 316 13 10 9 7 5 5 4 3 212 10 8 7 5 4 4 3 ==== ====10 8 6 5 4 3 ==== 28 7 5 4 ==== 3 ====

==== ====6 5 4

==== 5 4==== ====

2 x 2 1 3/4 x 1 3/4 1 5/8 x 1 5/8 1 1/2 x 1 1/2 1 1/4 x 1 1/4

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Page 14: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.

Bx, Bending Factor

By, Bending Factorax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

14

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

28.3 21.5 18.1 30.3 24.6 18.7 15.7 20.9 16.0 13.4

1550 1200 1010 1440 1190 926 786 838 657 560

705 547 464 338 283 222 189 58.7 47.6 41.2

1.48 1.48 1.48 2.06 2.05 2.04 2.04 3.78 3.72 3.69

4.99 5.04 5.07 3.34 3.39 3.44 3.47 1.68 1.73 1.75

0.183 0.179 0.179 0.210 0.207 0.202 0.200 0.249 0.244 0.239

0.241 0.236 0.234 0.359 0.348 0.337 0.332 0.712 0.672 0.650

231 179 151 215 178 138 117 125 98.1 83.6

105 81.7 69.3 50.5 42.3 33.2 28.2 8.77 7.11 6.15

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1/2 3/8 5/16 5/8 1/2 3/8 5/16 1/2 3/8 5/16

103.30 78.52 65.87 110.30 89.68 68.31 57.36 76.07 58.10 48.86

0.465* 0.349* 0.291* 0.581 0.465* 0.349* 0.291* 0.465* 0.349* 0.291*

761 517 406 836 660 442 343 558 370 282755 513 403 823 651 437 339 543 361 276751 511 402 815 647 434 337 533 356 272747 509 400 806 641 431 334 522 349 268743 506 398 797 636 427 332 509 342 263

739 503 396 787 629 424 329 494 334 257734 500 394 776 623 420 326 474 325 251730 497 391 765 616 416 323 453 316 245724 494 389 753 608 411 320 431 305 237719 491 387 741 600 407 317 408 294 230

714 488 384 728 592 402 313 383 282 221708 484 382 715 582 397 310 357 268 212702 480 379 701 571 391 306 330 253 202696 477 376 686 560 386 302 301 236 191689 473 373 671 548 380 298 270 217 178

683 469 370 656 536 374 293 239 194 164675 464 367 640 523 367 289 212 172 147667 460 364 624 510 360 284 189 153 131658 456 360 607 496 353 279 169 138 118649 451 357 589 483 346 274 153 124 106

640 446 354 571 468 339 268 139 113 97631 441 350 553 454 331 263 126 103 88621 436 346 534 439 322 257 116 94 80612 431 342 515 424 314 251 106 86 74602 426 339 495 408 305 245 98 79 68

592 420 334 475 392 295 238 90 73 63581 415 330 454 375 285 231 84 68 58571 409 326 432 358 274 224 78 63 54560 403 322 410 341 263 216 ==== ==== 51549 397 317 388 323 251 208 ====

538 391 313 365 305 238 199526 384 308 342 286 224 190515 377 303 322 269 211 180503 371 298 303 254 199 170491 364 293 286 239 187 160

479 356 288 270 226 177 151467 349 282 256 214 168 143454 341 277 243 203 159 136441 333 271 230 193 151 129428 325 265 219 183 143 123

20 x 12 20 x 8 20 x 4

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 15: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.

Bx, Bending Factor

By, Bending Factorax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

15

5/8 1/2 3/8 5/16 1/4 1/2 3/8 5/16 5/8 1/2 3/8 5/16

93.34 76.07 58.10 48.86 39.43 89.68 68.31 57.36 93.34 76.07 58.10 48.86

0.581 0.465 0.349* 0.291* 0.233* 0.465 0.349* 0.291* 0.581 0.465 0.349* 0.291*

709 577 395 304 221 679 493 388 709 577 419 325693 564 388 299 218 672 488 384 697 567 413 321683 556 384 297 216 668 486 382 691 562 410 319673 548 380 293 214 663 483 381 683 556 407 317661 538 376 290 212 658 481 379 675 549 403 314

648 528 371 287 209 654 478 376 666 543 399 311635 518 365 283 207 648 475 374 657 535 395 308620 506 359 279 204 643 472 372 647 527 391 305605 494 353 274 201 637 468 369 637 519 386 301589 481 346 270 198 631 465 367 626 511 381 298

572 468 339 265 195 625 461 364 615 502 376 294554 454 332 259 191 619 457 361 603 492 370 290536 440 324 254 188 612 453 358 591 483 364 286517 425 316 248 184 605 449 355 578 473 358 282497 409 307 242 180 598 445 352 565 462 352 277

476 393 297 235 175 591 441 349 552 451 345 272455 376 287 228 171 584 436 345 538 440 338 267433 358 276 221 166 576 431 342 523 429 331 262410 340 265 213 161 568 427 338 509 417 322 257386 322 252 205 156 560 422 335 493 405 313 251

361 302 237 196 150 552 416 331 478 392 303 245336 282 223 186 144 544 411 327 462 380 294 239310 262 208 176 138 535 406 323 445 367 284 233285 241 192 164 131 526 400 319 428 353 274 226262 222 177 151 123 517 394 315 411 339 264 219

242 205 163 140 115 508 388 310 393 325 253 212225 190 152 130 106 499 381 306 374 311 242 204209 177 141 121 99 489 374 301 356 296 231 195195 165 131 113 92 479 367 296 336 280 220 186182 154 123 105 86 469 359 291 316 265 208 177

171 144 115 99 81 459 352 286 297 249 196 167160 135 108 92 76 449 344 281 278 233 184 157151 127 101 87 71 439 336 276 262 219 173 148142 120 96 82 67 428 328 270 247 207 163 139134 113 90 77 63 417 320 265 233 195 154 131

126 107 85 73 60 406 312 259 220 184 145 124120 101 81 69 57 395 303 253 208 175 138 117114 96 76 66 54 383 295 247 197 165 130 111108 91 73 62 51 372 286 240 187 157 124 106102 87 69 59 48 360 277 234 178 149 118 100

25.7 20.9 16.0 13.4 10.8 24.6 18.7 15.7 25.7 20.9 16.0 13.4923 770 602 513 419 904 702 595 815 679 531 451

158 134 106 91.3 75.1 581 452 384 274 230 181 1552.42 2.40 2.38 2.37 2.36 1.25 1.25 1.24 1.72 1.72 1.71 1.71

2.48 2.53 2.58 2.61 2.63 4.86 4.91 4.94 3.27 3.32 3.37 3.40

0.251 0.244 0.239 0.235 0.232 0.218 0.213 0.211 0.252 0.246 0.241 0.2380.488 0.468 0.453 0.440 0.431 0.254 0.248 0.245 0.375 0.363 0.354 0.346

138 115 89.9 76.6 62.6 135 105 88.9 122 101 79.3 67.323.6 20.0 15.8 13.6 11.2 86.8 67.5 57.3 40.9 34.3 27.0 23.1

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18 x 6 16 x 12 16 x 8

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 16: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.

Bx, Bending Factor

By, Bending Factorax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

16

17.2 13.2 11.1 25.7 20.9 16.0 13.4 10.8

455 360 308 687 573 447 380 310

47.0 38.3 33.2 407 341 267 227 186

3.11 3.07 3.05 1.30 1.30 1.29 1.29 1.29

1.65 1.71 1.73 3.98 4.04 4.09 4.12 4.14

0.302 0.293 0.288 0.262 0.255 0.251 0.247 0.244

0.732 0.689 0.669 0.316 0.306 0.300 0.295 0.290

67.9 53.8 46.0 103 85.6 66.8 56.7 46.3

7.02 5.72 4.96 60.8 50.9 39.9 33.9 27.8

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1/2 3/8 5/16 5/8 1/2 3/8 5/16 1/4

62.46 47.90 40.35 93.34 76.07 58.10 48.86 39.43

0.465 0.349* 0.291* 0.581 0.465 0.349 0.291* 0.233*

475 342 264 709 577 442 347 258457 333 257 700 569 436 343 255446 328 253 694 565 433 341 254434 321 248 688 560 429 339 252420 313 243 682 555 425 336 250

405 305 237 676 550 421 334 249388 296 231 669 544 417 331 247371 286 224 661 538 413 328 245352 275 216 653 532 408 325 243332 260 208 645 526 403 322 241

311 245 199 637 519 398 319 238289 229 189 628 512 393 316 236266 212 178 619 505 387 312 234241 194 165 609 497 381 308 231215 176 151 599 489 376 305 228

190 156 135 589 481 370 301 226168 139 119 579 473 363 297 223150 124 106 568 464 357 292 220135 111 95 557 456 350 288 217121 100 86 546 447 344 283 214

110 91 78 534 437 337 278 210100 83 71 522 428 330 274 20792 76 65 510 418 322 268 20384 69 60 498 408 315 263 20078 64 55 485 398 307 258 196

72 59 51 472 388 299 252 19267 55 47 459 377 292 245 188

==== 51 44 445 366 283 239 184==== ==== 431 355 275 232 180

417 344 267 225 175

402 333 258 218 171387 321 249 210 166372 309 240 203 161357 297 231 195 156341 284 222 188 151

325 271 212 180 145308 258 202 172 139292 245 192 163 133278 233 182 155 126264 221 173 147 120

16 x 4 14 x 10

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 17: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

17

5/8 1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16

76.33 62.46 47.90 40.35 32.63 24.73 67.82 55.66 42.79 36.10 29.23 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*

580 475 364 284 208 139 516 422 326 252 183 120566 464 356 279 205 137 496 407 314 245 179 118558 457 351 276 203 135 484 397 307 241 176 116549 450 346 273 201 134 469 386 298 236 173 114539 442 340 269 198 133 453 373 289 231 170 112

528 434 334 266 196 131 436 359 279 225 166 110517 425 327 261 193 130 417 345 268 218 161 108505 415 320 257 190 128 397 329 257 211 157 105492 405 312 252 187 126 375 312 244 203 152 102478 394 304 247 184 124 353 294 231 195 146 99

464 383 296 242 180 122 328 275 217 185 140 96449 371 287 236 176 119 303 256 203 173 133 92434 359 278 230 172 117 276 235 187 160 126 88418 346 268 224 168 115 248 213 171 147 118 84401 332 258 217 163 112 218 189 154 133 109 79

383 319 248 209 159 109 192 167 137 119 98 74365 304 237 201 154 106 170 148 121 105 87 68347 290 226 192 148 103 151 132 108 94 78 61327 274 215 182 143 100 136 118 97 84 70 55307 258 203 172 137 97 123 107 87 76 63 49

286 242 191 162 130 93 111 97 79 69 57 45265 225 178 152 123 89 101 88 72 63 52 41243 207 165 141 116 85 93 81 66 58 48 37223 190 152 130 107 81 85 74 61 53 44 34206 176 140 120 99 76 78 68 56 49 40 32

190 162 130 111 91 71 73 63 52 45 37 29176 150 120 103 85 66 ==== 59 48 42 35 27164 140 112 95 79 61 ==== 45 39 32 25153 130 104 89 74 57 ==== ==== 30 23143 122 97 83 69 53 ==== ====

134 114 91 78 64 50126 107 86 73 60 47118 101 80 69 57 44111 95 76 65 54 41105 90 72 61 50 39

99 85 68 58 48 3794 80 64 55 45 3589 76 61 52 43 3385 72 58 49 41 3180 69 55 47 39 30

21.0 17.2 13.2 11.1 8.96 6.76 18.7 15.3 11.8 9.92 8.03 6.06

478 402 317 271 222 170 373 317 252 216 178 137

124 105 84.1 72.3 59.6 45.9 47.1 41.1 33.6 29.2 24.4 19.0

1.96 1.96 1.94 1.94 1.93 1.92 2.81 2.78 2.74 2.72 2.70 2.69

2.43 2.48 2.53 2.55 2.58 2.61 1.59 1.64 1.69 1.72 1.74 1.77

0.308 0.300 0.291 0.287 0.283 0.278 0.351 0.338 0.328 0.321 0.316 0.310

0.508 0.491 0.471 0.461 0.451 0.442 0.794 0.745 0.702 0.679 0.658 0.638

71.4 60.0 47.3 40.5 33.2 25.4 55.7 47.3 37.6 32.3 26.6 20.5

18.5 15.7 12.6 10.8 8.90 6.85 7.03 6.14 5.02 4.36 3.64 2.84

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1617181920

2122232425

2627282930

3132333435

3637383940

14 x 6 14 x 4

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 18: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

18

19.0 14.6 12.2 9.90 21.0 17.2 13.2 11.1 8.96 6.76

395 310 264 216 396 333 262 224 184 140

298 234 200 164 210 177 140 120 98.8 75.7

1.15 1.15 1.15 1.15 1.37 1.37 1.37 1.37 1.36 1.36

3.96 4.01 4.04 4.07 3.16 3.21 3.27 3.29 3.32 3.35

0.289 0.283 0.277 0.275 0.318 0.310 0.302 0.297 0.292 0.290

0.319 0.312 0.305 0.302 0.400 0.389 0.377 0.370 0.363 0.357

59.0 46.3 39.4 32.3 59.1 49.7 39.1 33.5 27.5 20.9

44.5 34.9 29.9 24.5 31.4 26.4 20.9 17.9 14.8 11.3

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1/2 3/8 5/16 1/4 5/8 1/2 3/8 5/16 1/4 3/16

69.27 53.00 44.60 36.03 76.33 62.46 47.90 40.35 32.63 24.73

0.465 0.349 0.291* 0.233* 0.581 0.465 0.349 0.291* 0.233* 0.174*

524 403 334 249 580 475 364 304 226 151517 398 330 247 570 467 358 299 223 150513 395 328 246 564 462 355 297 221 149509 391 326 244 557 457 351 294 219 148504 388 323 243 550 451 347 292 217 147

499 384 321 241 543 445 342 288 215 145494 380 318 240 535 439 337 284 213 144489 376 314 238 527 432 332 280 210 143483 371 311 236 518 425 327 275 208 141477 367 307 233 509 418 322 271 205 140

470 362 303 231 499 410 316 266 202 138464 357 299 228 489 402 310 261 199 136457 352 295 226 478 394 304 256 196 134450 347 290 223 467 385 297 250 193 132443 341 286 220 456 376 290 245 189 130

435 335 281 217 445 367 283 239 186 128427 330 276 214 433 357 276 233 182 126419 324 271 211 420 347 269 227 178 123411 317 266 208 407 337 261 220 174 121403 311 261 205 394 326 253 214 170 118

394 305 255 201 381 315 245 207 165 116385 298 250 198 367 304 237 200 161 113376 291 244 194 353 293 229 193 156 110367 284 238 190 338 281 220 186 151 107357 277 232 186 323 269 211 178 145 104

348 270 226 182 307 257 202 171 139 101338 262 220 178 291 244 192 163 133 97327 254 214 173 275 231 183 155 127 94317 247 207 169 258 218 173 147 120 90307 239 201 164 242 204 163 138 113 86

296 230 194 159 226 191 152 130 107 81285 222 187 153 212 179 143 122 100 77273 214 180 148 200 169 134 114 94 72262 205 173 142 188 159 127 108 89 68250 196 166 136 178 150 119 102 84 64

238 187 158 130 168 142 113 96 79 61226 178 151 124 159 134 107 91 75 57214 169 143 118 151 127 101 86 71 54203 160 136 112 143 121 96 82 67 52193 152 129 106 136 115 91 78 64 49

12 x 10 12 x 8

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 19: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

19

5/8 1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16

67.82 55.66 42.79 36.10 29.23 22.18 59.32 48.85 37.69 31.84 25.82 19.63

0.581 0.465 0.349 0.291* 0.233* 0.174* 0.581 0.465 0.349 0.291* 0.233* 0.174*

516 422 326 271 200 134 453 373 287 239 175 116504 412 318 266 197 132 435 359 277 232 171 113496 407 314 263 195 131 424 350 270 228 168 111488 400 309 260 193 129 411 340 263 222 164 110479 393 304 255 190 128 397 328 254 215 161 107

469 385 298 251 187 126 381 316 245 207 157 105459 377 292 246 185 124 364 303 236 199 152 102448 368 285 240 181 123 346 289 225 191 147 100436 359 278 234 178 121 327 274 214 182 142 97424 349 271 228 175 118 307 258 202 172 136 93

411 339 263 222 171 116 285 241 190 162 130 90397 328 255 215 167 114 262 223 177 151 123 86383 317 246 208 163 111 238 204 163 140 115 82368 305 238 201 158 109 213 184 148 128 105 77353 293 229 194 153 106 186 163 133 116 95 72

337 280 219 186 148 103 164 144 117 103 85 66321 267 209 178 143 100 145 127 104 91 75 59304 254 199 169 137 97 129 113 93 81 67 53286 240 189 161 131 93 116 102 83 73 60 47267 225 178 152 124 89 105 92 75 66 54 43

248 210 167 143 117 86 95 83 68 60 49 39229 195 155 133 109 81 87 76 62 54 45 35209 179 143 123 101 77 79 69 57 50 41 32192 164 132 113 93 72 73 64 52 46 38 30177 151 121 105 86 66 67 59 48 42 35 27

164 140 112 97 79 61 62 54 44 39 32 25152 130 104 90 74 57 ==== 50 41 36 30 23141 120 97 83 69 53 ==== ==== 33 28 22132 112 90 78 64 49 ==== ==== 20123 105 84 73 60 46 ====

115 98 79 68 56 43108 92 74 64 52 41102 87 70 60 49 3896 82 66 57 46 3690 77 62 53 44 34

85 73 59 50 41 3281 69 55 48 39 3077 65 53 45 37 2973 62 50 43 35 27

==== 59 47 41 34 26

18.7 15.3 11.8 9.92 8.03 6.06 16.4 13.5 10.4 8.76 7.10 5.37

321 271 215 184 151 116 245 209 168 144 119 91.8

106 91.1 72.9 62.8 51.9 40.0 40.3 35.3 28.9 25.2 21.0 16.4

1.74 1.72 1.72 1.71 1.71 1.70 2.47 2.43 2.41 2.39 2.38 2.37

2.39 2.44 2.49 2.52 2.54 2.57 1.57 1.62 1.67 1.70 1.72 1.75

0.350 0.339 0.329 0.323 0.319 0.313 0.402 0.388 0.371 0.365 0.358 0.351

0.529 0.504 0.486 0.474 0.464 0.455 0.814 0.765 0.720 0.695 0.676 0.655

47.9 40.5 32.1 27.5 22.5 17.3 36.6 31.2 25.1 21.5 17.8 13.7

15.8 13.6 10.9 9.38 7.75 5.97 6.02 5.27 4.32 3.76 3.14 2.45

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2122232425

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3637383940

12 x 6 12 x 4

Fy = 46 ksi

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

PROPERTIES

Page 20: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

20

3/8 5/16 5/16 1/4 3/16 1/4 3/16 1/2 3/8 5/16 1/4 3/16

36.41 30.78 29.72 24.12 18.35 22.42 17.08 55.66 42.79 36.10 29.23 22.18

0.349 0.291* 0.291* 0.233* 0.174* 0.233* 0.174* 0.465 0.349 0.291 0.233* 0.174*

276 231 223 163 107 150 98 422 326 274 217 145264 223 214 157 103 141 93 415 320 269 214 143257 217 207 153 101 135 89 411 317 266 212 142248 210 198 148 98 127 85 406 313 263 210 141238 202 188 143 96 117 79 401 309 260 208 140

228 194 178 137 92 105 73 395 305 257 206 139216 184 166 130 89 89 66 390 301 253 203 138204 174 154 123 84 71 57 383 296 249 201 136191 163 141 114 80 56 45 377 291 245 198 135177 151 126 104 75 46 37 370 286 241 195 133

162 139 111 92 69 38 30 363 281 237 192 132147 126 95 79 62 32 26 356 275 232 188 130130 112 81 68 54 27 22 348 270 227 184 128113 98 70 58 46 23 19 340 263 222 180 12698 85 61 51 40 ==== ==== 332 257 217 176 124

86 75 53 45 35 323 251 212 172 12276 66 47 40 31 314 244 206 168 11968 59 42 35 28 305 237 200 163 11761 53 38 32 25 296 230 195 158 11455 48 34 29 23 286 223 189 154 111

50 44 31 26 21 276 215 182 149 10846 40 ==== ==== 19 266 208 176 144 10542 36 ==== 255 200 169 138 10238 33 245 192 163 133 99

==== ==== 233 183 156 127 95

222 175 149 122 92210 166 141 116 88198 157 134 110 84186 148 126 104 80174 138 119 98 75

163 130 111 92 70153 122 104 86 66144 114 98 81 62135 108 92 76 58128 102 87 72 55

121 96 82 68 52114 91 78 64 49108 86 74 61 47103 82 70 58 4498 78 67 55 42

10.0 8.46 8.17 6.63 5.02 6.17 4.67 15.3 11.8 9.92 8.03 6.06

156 134 124 103 79.6 86.9 67.4 214 169 145 119 91.4

21.3 18.6 13.1 11.1 8.72 4.40 3.55 151 120 103 84.7 65.1

2.71 2.68 3.08 3.05 3.02 4.44 4.36 1.19 1.19 1.19 1.19 1.18

1.46 1.48 1.27 1.29 1.32 0.845 0.872 3.14 3.19 3.22 3.25 3.28

0.385 0.379 0.395 0.386 0.378 0.426 0.416 0.357 0.349 0.342 0.337 0.332

0.822 0.796 0.935 0.896 0.864 1.40 1.32 0.405 0.393 0.385 0.379 0.372

23.3 20.0 18.5 15.4 11.9 13.0 10.1 32.0 25.2 21.7 17.8 13.6

3.18 2.78 1.96 1.66 1.30 0.657 0.530 22.5 17.9 15.4 12.6 9.72

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12 x 3 1/2 12 x 3 12 x 2 10 x 8

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 21: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

21

16.4 13.5 10.4 8.76 7.10 5.37 9.67 8.17 6.63 5.02

201 171 137 118 96.9 74.6 120 104 85.8 66.2

89.4 76.8 61.8 53.3 44.1 34.1 40.6 35.2 29.3 22.7

1.50 1.49 1.49 1.49 1.48 1.48 1.72 1.72 1.71 1.71

2.34 2.39 2.44 2.47 2.49 2.52 2.05 2.07 2.10 2.13

0.408 0.395 0.380 0.371 0.366 0.360 0.403 0.393 0.386 0.379

0.550 0.527 0.505 0.493 0.483 0.472 0.595 0.580 0.566 0.553

30.0 25.5 20.5 17.6 14.5 11.1 17.9 15.5 12.8 9.89

13.4 11.5 9.23 7.96 6.59 5.09 6.06 5.26 4.38 3.39

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5/8 1/2 3/8 5/16 1/4 3/16 3/8 5/16 1/4 3/16

59.32 48.85 37.69 31.84 25.82 19.63 35.13 29.72 24.12 18.35

0.581 0.465 0.349 0.291 0.233* 0.174* 0.349 0.291 0.233* 0.174*

453 373 287 242 191 129 267 225 178 120442 364 280 236 188 127 259 219 174 117435 358 276 233 186 126 255 215 172 116427 352 272 229 183 124 249 211 169 114419 346 267 225 181 123 244 206 166 112

411 339 262 221 178 121 237 201 163 110401 331 256 216 175 119 231 195 159 108391 323 250 211 171 117 224 189 154 106380 315 244 206 167 115 216 183 149 103369 306 237 200 163 113 208 176 144 100

358 297 230 195 158 110 199 169 138 98345 287 223 189 153 108 191 162 132 94332 277 215 182 148 105 181 154 126 91319 266 207 176 143 102 172 146 120 88305 255 199 169 138 99 162 138 113 84

291 243 190 162 132 96 151 129 106 80276 231 182 154 126 93 140 120 99 75260 219 172 147 120 89 129 110 92 70244 206 163 139 114 85 117 101 84 65228 193 153 131 107 81 105 91 76 59

210 179 143 122 100 77 96 82 69 54192 165 132 114 93 72 87 75 63 49176 151 121 105 86 67 80 69 57 45162 139 111 96 79 61 73 63 53 41149 128 103 89 73 57 67 58 49 38

138 118 95 82 68 52 62 54 45 35128 110 88 76 63 49 58 50 42 32119 102 82 71 58 45 54 46 39 30111 95 76 66 54 42 50 43 36 28103 89 71 62 51 39 47 40 34 26

97 83 67 58 48 37 44 38 32 2591 78 63 54 45 35 41 35 30 2386 73 59 51 42 32 39 33 28 2281 69 56 48 39 31 36 31 26 2076 65 52 45 37 29 ==== ==== 25 19

==== ====72 62 50 43 35 2768 58 47 40 33 2664 55 44 38 32 2461 53 42 36 30 23

==== ==== 40 35 29 22

10 x 6 10 x 5

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 22: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

22

5/8 1/2 3/8 5/16 1/4 3/16 3/16 3/8 5/16 1/4 3/16 1/8

50.81 42.05 32.58 27.59 22.42 17.08 16.44 30.03 25.46 20.72 15.80 10.71

0.581 0.465 0.349 0.291 0.233* 0.174* 0.174* 0.349 0.291 0.233* 0.174* 0.116*

386 320 248 209 166 110 106 228 193 153 101 57371 308 238 202 161 108 103 216 184 147 97 55361 300 233 197 158 106 101 208 177 143 95 54350 291 226 192 155 104 98 199 169 138 92 53337 281 219 186 151 101 96 189 161 132 89 51

324 270 211 179 146 99 93 177 152 124 86 49309 259 202 172 140 96 90 165 142 116 82 48293 246 193 164 134 93 86 151 131 108 78 46276 233 183 156 128 90 82 137 119 99 73 44258 219 173 148 121 86 78 122 106 89 67 41

239 204 161 139 114 83 73 105 93 78 60 38219 188 150 129 107 78 68 89 79 67 53 35198 171 138 119 99 74 62 76 67 57 45 32175 154 125 108 90 68 54 65 58 49 39 27153 135 111 97 81 63 47 57 50 43 34 24

134 119 98 86 72 56 42 50 44 38 30 21119 105 87 76 64 50 37 44 39 34 26 19106 94 77 68 57 44 33 39 35 30 23 1795 84 69 61 51 40 29 35 31 27 21 1586 76 63 55 46 36 27 32 28 24 19 13

==== ====78 69 57 50 42 32 24 22 17 1271 63 52 45 38 30 22 ==== ==== 1165 57 47 41 35 27 20 ====60 53 43 38 32 25 1855 49 40 35 30 23 17

==== ====45 37 32 27 21

==== 34 30 25 20==== ==== 24 18

==== ====

14.0 11.6 8.97 7.59 6.17 4.67 4.50 8.27 7.01 5.70 4.32 2.93

149 129 104 90.1 74.7 57.8 53.6 88.0 76.3 63.6 49.4 34.2

33.4 29.4 24.3 21.2 17.7 13.9 10.3 12.4 11.0 9.28 7.33 5.16

2.11 2.09 2.07 2.06 2.05 2.04 2.28 2.66 2.63 2.62 2.60 2.57

1.54 1.59 1.64 1.67 1.70 1.72 1.51 1.22 1.25 1.28 1.30 1.33

0.470 0.450 0.431 0.421 0.413 0.404 0.420 0.470 0.459 0.448 0.437 0.428

0.838 0.789 0.738 0.716 0.697 0.672 0.765 1.00 0.956 0.921 0.884 0.852

22.3 19.3 15.5 13.5 11.2 8.63 8.00 13.1 11.4 9.50 7.38 5.11

4.99 4.39 3.63 3.17 2.64 2.08 1.54 1.85 1.64 1.39 1.09 0.771

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1617181920

2122232425

2627282930

3132333435

3637383940

10 x 4 10 x 3 1/2 10 x 3

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 23: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

23

7.58 6.43 5.24 3.98 16.4 13.5 10.4 8.76 7.10 5.37

71.7 62.6 52.5 41.0 174 149 119 102 84.1 64.7

4.69 4.24 3.67 2.97 117 100 80.4 69.2 57.2 44.1

3.91 3.84 3.78 3.72 1.22 1.22 1.22 1.21 1.21 1.21

0.786 0.812 0.837 0.864 2.68 2.73 2.78 2.81 2.84 2.87

0.529 0.514 0.499 0.485 0.424 0.408 0.393 0.386 0.380 0.373

1.62 1.52 1.43 1.34 0.491 0.473 0.453 0.443 0.434 0.426

10.7 9.35 7.84 6.12 26.0 22.3 17.8 15.2 12.6 9.66

0.700 0.633 0.548 0.444 17.5 14.9 12.0 10.3 8.54 6.59

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3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16

27.48 23.34 19.02 14.53 59.32 48.85 37.69 31.84 25.82 19.63

0.349 0.291 0.233* 0.174* 0.581 0.465 0.349 0.291 0.233 0.174*

209 177 140 92 453 373 287 242 196 136190 162 131 87 443 365 281 237 192 134176 151 124 83 438 360 278 234 190 132160 138 114 78 431 355 274 231 187 131142 123 102 73 425 350 270 228 185 130

121 106 89 67 417 344 266 224 182 12898 88 75 59 410 338 261 220 179 12676 69 59 48 401 331 256 216 175 12460 54 47 38 393 324 251 212 172 12249 44 38 31 383 317 245 207 168 120

40 36 31 25 374 309 239 202 164 11834 31 26 21 364 301 233 197 160 11629 26 23 18 353 293 227 192 156 114

==== ==== ==== 16 342 284 221 187 152 111==== 331 275 214 181 148 108

319 266 207 175 143 106307 256 200 169 138 103295 246 192 163 133 100282 236 184 157 128 96269 225 176 150 123 93

255 214 168 143 117 89241 203 160 136 112 86226 191 151 129 106 81211 179 142 122 100 77195 167 133 114 94 72

181 154 123 106 88 68168 143 114 98 81 63156 133 106 91 76 59145 124 99 85 71 55136 116 93 80 66 51

127 109 87 75 62 48119 102 81 70 58 45112 96 77 66 55 42106 90 72 62 51 40100 85 68 59 48 37

94 81 64 55 46 3589 76 61 52 43 3485 72 58 50 41 3280 69 55 47 39 3076 65 52 45 37 29

10 x 2 9 x 7

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 24: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

24

14.0 11.6 8.97 7.59 6.17 4.67 9.74 7.58 6.43 5.24 3.98

133 115 92.5 79.8 66.1 51.1 80.8 66.3 57.7 48.2 37.6

51.9 45.2 36.8 32.0 26.6 20.7 13.2 11.2 9.88 8.38 6.63

1.60 1.60 1.59 1.58 1.58 1.57 2.47 2.43 2.42 2.40 2.38

1.92 1.97 2.03 2.05 2.08 2.10 1.16 1.21 1.24 1.27 1.29

0.474 0.454 0.436 0.428 0.420 0.411 0.542 0.514 0.501 0.489 0.476

0.674 0.642 0.609 0.593 0.580 0.564 1.11 1.02 0.976 0.938 0.900

19.9 17.2 13.8 11.9 9.87 7.63 12.1 9.90 8.62 7.20 5.61

7.75 6.75 5.50 4.78 3.97 3.09 1.97 1.67 1.48 1.25 0.990

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5/8 1/2 3/8 5/16 1/4 3/16 1/2 3/8 5/16 1/4 3/16

50.81 42.05 32.58 27.59 22.42 17.08 35.24 27.48 23.34 19.02 14.53

0.581 0.465 0.349 0.291 0.233 0.174* 0.465 0.349 0.291 0.233 0.174*

386 320 248 209 170 117 269 209 177 145 98375 311 240 204 166 114 254 198 168 137 94367 305 236 200 163 113 244 191 162 133 92359 298 231 196 159 111 232 182 155 127 89350 291 226 191 156 109 219 172 147 121 86

340 283 220 186 152 107 204 162 139 114 82329 274 214 181 148 105 189 150 129 107 78318 265 207 175 143 102 171 138 119 99 74306 256 200 169 138 100 153 125 108 90 69293 245 192 163 133 97 133 110 97 81 63

279 235 184 157 128 94 112 95 84 71 55265 223 176 150 123 90 94 80 71 61 48250 211 167 142 117 87 80 68 61 52 41235 199 158 135 111 83 69 59 52 45 35218 186 148 127 104 79 60 51 46 39 31

201 173 138 119 98 75 53 45 40 34 27184 159 128 110 91 70 47 40 35 30 24165 144 117 101 84 65 42 36 32 27 21148 129 106 92 77 59 38 32 28 24 19134 117 96 83 69 53 ==== 29 26 22 17

==== ====121 106 87 75 63 48 20 16111 96 79 68 57 44 ==== ====101 88 72 63 52 4093 81 67 57 48 3786 75 61 53 44 34

79 69 57 49 41 3273 64 53 45 38 2968 60 49 42 35 2764 56 46 39 33 2559 52 43 37 31 24

56 49 40 34 29 2252 46 37 32 27 21

==== ==== 35 30 25 20==== 29 24 18

==== ==== 17====

9 x 5 9 x 3

Fy = 46 ksi

PROPERTIES

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 25: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

25

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Fy = 46 ksi

8 x 6 8 x 4

5/8 1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16 1/8

50.81 42.05 32.58 27.59 22.42 17.08 42.30 35.24 27.48 23.34 19.02 14.53 9.86

0.581 0.465 0.349 0.291 0.233 0.174* 0.581 0.465 0.349 0.291 0.233 0.174* 0.116*

386 320 248 209 170 123 323 269 209 177 145 104 60377 312 242 205 166 121 310 258 201 171 139 101 58371 308 238 202 164 119 301 252 196 167 136 99 57364 302 234 198 161 118 292 244 191 162 132 97 56357 296 230 195 158 116 281 235 184 157 128 95 55

349 290 225 191 155 114 269 226 177 151 123 92 54341 283 220 186 152 112 256 216 170 145 118 90 52332 276 215 182 148 110 243 205 162 138 113 86 51322 269 209 177 145 108 228 194 153 131 108 82 49312 261 203 172 141 105 213 181 144 123 102 78 47

302 252 197 167 136 103 196 168 134 115 95 73 45291 243 190 162 132 100 179 155 124 107 89 68 43279 234 183 156 127 97 161 140 114 98 82 63 41267 225 176 150 123 93 141 125 102 89 74 58 38255 215 169 144 118 90 123 109 91 79 66 52 35

242 204 161 137 113 86 108 96 80 69 58 46 32229 193 153 131 107 82 96 85 71 61 52 41 28215 182 145 124 102 78 85 76 63 55 46 36 25200 171 136 117 96 74 77 68 56 49 41 33 23185 159 128 109 90 69 69 61 51 44 37 29 20

170 146 118 102 84 65 63 56 46 40 34 27 19155 134 109 94 78 60 57 51 42 37 31 24 17141 122 100 86 71 55 52 46 39 33 28 22 15130 112 91 79 66 51 48 43 35 31 26 20 14120 104 84 73 60 47 44 39 33 28 24 19 13

====111 96 78 67 56 43 36 30 26 22 17 12103 89 72 62 52 40 ==== ==== 24 21 16 1195 83 67 58 48 37 ==== ==== 15 1089 77 63 54 45 35 ==== ====83 72 59 50 42 33

78 67 55 47 39 3073 63 51 44 37 2969 59 48 42 35 2765 56 46 39 33 2561 53 43 37 31 24

58 50 41 35 29 2355 47 38 33 28 21

==== 45 36 31 26 20==== 35 30 25 19

==== 28 24 18

14.0 11.6 8.97 7.59 6.17 4.67 11.7 9.74 7.58 6.43 5.24 3.98 2.70

114 98.2 79.1 68.3 56.6 43.7 81.9 71.7 58.7 51.0 42.5 33.1 22.9

72.2 62.5 50.6 43.8 36.4 28.2 26.6 23.6 19.6 17.2 14.4 11.3 7.90

1.26 1.25 1.25 1.25 1.25 1.24 1.75 1.74 1.73 1.72 1.72 1.71 1.70

2.27 2.32 2.38 2.40 2.43 2.46 1.51 1.56 1.61 1.63 1.66 1.69 1.71

0.491 0.473 0.454 0.445 0.436 0.427 0.571 0.543 0.517 0.504 0.493 0.481 0.472

0.582 0.557 0.532 0.520 0.509 0.497 0.880 0.825 0.773 0.748 0.728 0.704 0.684

17.0 14.7 11.8 10.2 8.45 6.53 12.2 10.7 8.77 7.62 6.35 4.94 3.42

10.8 9.33 7.56 6.54 5.44 4.21 3.97 3.52 2.93 2.57 2.15 1.69 1.18

PROPERTIES

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 26: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

26

8.81 6.88 5.85 4.77 3.63 2.46 6.18 5.26 4.30 3.28 2.23

58.5 48.5 42.4 35.5 27.8 19.3 38.2 33.7 28.5 22.4 15.7

11.7 9.94 8.81 7.49 5.94 4.20 3.72 3.38 2.94 2.39 1.72

2.24 2.21 2.19 2.18 2.16 2.14 3.20 3.16 3.11 3.06 3.02

1.15 1.20 1.23 1.25 1.28 1.31 0.776 0.801 0.827 0.853 0.879

0.602 0.567 0.552 0.537 0.522 0.510 0.647 0.624 0.604 0.586 0.568

1.13 1.04 0.996 0.955 0.917 0.879 1.66 1.56 1.46 1.37 1.30

8.74 7.24 6.33 5.30 4.15 2.88 5.70 5.03 4.26 3.35 2.34

1.75 1.48 1.32 1.12 0.887 0.627 0.556 0.505 0.439 0.357 0.257

Effe

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

1/2 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8

31.84 24.93 21.21 17.32 13.25 9.01 22.37 19.08 15.62 11.97 8.16

0.465 0.349 0.291 0.233 0.174* 0.116* 0.349 0.291 0.233 0.174* 0.116*

243 190 161 132 94 53 171 145 119 85 47229 180 153 125 91 52 155 132 108 80 45220 173 147 120 88 50 143 123 101 76 43209 165 141 115 86 49 130 112 93 71 41197 156 134 110 82 48 115 100 83 65 38

184 146 126 103 79 46 98 86 72 57 35170 136 117 96 74 44 79 71 61 48 32154 124 108 89 69 42 60 55 48 39 27137 112 98 81 63 39 48 43 38 31 22119 99 87 72 57 37 39 35 30 25 18

100 85 75 63 50 34 32 29 25 20 1584 71 64 54 43 30 27 24 21 17 1271 61 54 46 36 26 ==== 21 18 15 1162 52 47 39 31 22 ==== ==== 13 954 46 41 34 27 19 ==== ====

47 40 36 30 24 1742 36 32 27 21 1537 32 28 24 19 1433 28 25 21 17 12

==== 26 23 19 15 11==== ==== ====

14 10==== ====

8 x 3 8 x 2

Fy = 46 ksi

PROPERTIES

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 27: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

27

Effe

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KL

in fe

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02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

Fy = 46 ksi

7 x 5 7 x 4

5/8 1/2 3/8 5/16 1/4 3/16 1/8 1/2 3/8 5/16 1/4 3/16 1/8

42.30 35.24 27.48 23.34 19.02 14.53 9.86 31.84 24.93 21.21 17.32 13.25 9.01

0.581 0.465 0.349 0.291 0.233 0.174 0.116* 0.465 0.349 0.291 0.233 0.174 0.116*

323 269 209 177 145 110 64 243 190 161 132 100 58313 261 203 172 140 107 63 233 183 155 127 97 56306 255 199 169 138 105 62 227 178 151 124 94 55299 250 195 165 135 103 61 220 173 147 120 92 54291 243 190 161 132 100 60 212 167 142 116 89 53

282 236 185 157 128 98 59 203 160 137 112 86 52273 229 179 152 125 95 58 194 153 131 107 82 50263 221 173 147 121 92 56 184 146 125 103 78 48252 212 167 142 116 89 55 173 138 118 97 74 47241 203 160 137 112 86 53 162 129 111 92 70 45

229 194 153 131 107 82 52 150 120 104 86 66 43217 184 145 125 102 78 50 137 111 96 80 61 40204 173 138 118 97 75 48 123 101 88 73 56 38190 162 129 111 92 71 46 109 90 79 66 51 35176 151 121 104 86 66 44 95 79 70 59 46 32

161 139 112 97 80 62 42 84 70 61 52 41 28145 127 103 89 74 58 39 74 62 54 46 36 25130 114 93 81 68 53 36 66 55 49 41 32 22116 102 84 73 61 48 33 59 49 44 37 29 20105 92 75 66 55 43 30 53 45 39 33 26 18

95 84 68 60 50 39 27 48 40 36 30 24 1787 76 62 55 46 36 25 44 37 32 27 21 1579 70 57 50 42 33 23 40 34 30 25 20 1473 64 52 46 38 30 21 37 31 27 23 18 1367 59 48 42 35 28 19 34 28 25 21 17 12

====62 55 45 39 33 26 18 26 23 20 15 1158 51 41 36 30 24 16 ==== ==== 18 14 1054 47 39 34 28 22 15 ==== ==== 950 44 36 31 26 21 14 ====47 41 34 29 25 19 13

44 38 31 27 23 18 12==== ==== 29 26 22 17 12

==== 24 20 16 11==== ==== 15 10

==== ====

11.7 9.74 7.58 6.43 5.24 3.98 2.70 8.81 6.88 5.85 4.77 3.63 2.46

69.3 60.6 49.5 43.0 35.8 27.9 19.3 50.6 41.8 36.4 30.5 23.8 16.6

40.5 35.6 29.2 25.5 21.3 16.6 11.6 20.7 17.3 15.2 12.8 10.0 7.03

1.31 1.30 1.30 1.30 1.30 1.30 1.29 1.56 1.55 1.55 1.54 1.54 1.54

1.86 1.91 1.96 1.99 2.02 2.05 2.07 1.53 1.58 1.61 1.64 1.66 1.69

0.591 0.563 0.536 0.523 0.512 0.499 0.490 0.609 0.576 0.563 0.547 0.534 0.519

0.722 0.684 0.649 0.630 0.615 0.599 0.582 0.851 0.795 0.770 0.745 0.726 0.700

10.3 9.05 7.39 6.42 5.35 4.17 2.88 7.56 6.24 5.44 4.55 3.55 2.48

6.05 5.32 4.36 3.81 3.18 2.48 1.73 3.09 2.58 2.27 1.91 1.49 1.05

PROPERTIES

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 28: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

28

7.88 6.18 5.26 4.30 3.28 2.23 6.88 5.85 4.77 3.63

40.7 34.0 29.9 25.2 19.8 13.8 33.9 29.6 24.7 19.3

10.2 8.70 7.74 6.59 5.24 3.71 25.5 22.3 18.7 14.6

2.00 1.98 1.97 1.96 1.94 1.93 1.15 1.15 1.15 1.15

1.14 1.19 1.21 1.24 1.26 1.29 1.92 1.95 1.98 2.01

0.678 0.636 0.616 0.597 0.580 0.566 0.609 0.593 0.579 0.564

1.16 1.07 1.02 0.979 0.939 0.902 0.675 0.656 0.638 0.622

6.08 5.08 4.47 3.76 2.96 2.06 5.06 4.42 3.69 2.88

1.52 1.30 1.16 0.984 0.782 0.554 3.81 3.33 2.79 2.18

Effe

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

1/2 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16

28.43 22.37 19.08 15.62 11.97 8.16 24.93 21.21 17.32 13.25

0.465 0.349 0.291 0.233 0.174 0.116* 0.349 0.291 0.233 0.174

217 171 145 119 91 52 190 161 132 100205 161 137 113 86 50 184 157 128 97197 155 132 108 83 49 180 154 125 95187 148 126 104 79 47 176 150 123 93176 140 120 99 75 46 172 146 120 91

164 131 112 93 71 44 167 142 116 89151 121 104 86 66 42 162 138 113 86137 111 96 80 61 39 156 133 109 83121 100 86 72 56 37 150 128 105 81105 88 77 65 50 34 144 123 101 77

88 75 66 56 44 31 137 118 97 7474 63 55 48 38 27 130 112 92 7163 54 47 41 32 23 123 106 87 6754 46 41 35 28 20 115 99 82 6347 40 35 30 24 17 107 93 77 59

41 35 31 27 21 15 99 86 71 5537 31 28 24 19 13 90 79 66 5133 28 25 21 17 12 81 71 60 4729 25 22 19 15 11 73 64 54 42

==== ==== 20 17 14 10 66 58 48 38==== ====

12 9 60 52 44 34==== ==== 54 48 40 31

50 44 37 2946 40 34 2642 37 31 24

39 34 29 2236 32 27 2134 29 25 1931 27 23 1829 26 22 17

27 24 20 1626 23 19 15

==== ==== 18 14==== ====

7 x 3 6 x 5

Fy = 46 ksi

PROPERTIES

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 29: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

29

PROPERTIES

1/2 3/8 5/16 1/4 3/16 1/8 1/2 3/8 5/16 1/4 3/16 1/8

28.43 22.37 19.08 15.62 11.97 8.16 25.03 19.82 16.96 13.91 10.70 7.31

0.465 0.349 0.291 0.233 0.174 0.116* 0.465 0.349 0.291 0.233 0.174 0.116*

217 171 145 119 91 56 192 151 129 106 81 50209 164 140 114 87 54 181 143 122 100 77 48203 160 136 111 85 53 173 137 117 97 74 47196 155 132 108 83 52 164 131 112 92 71 45189 149 127 104 80 51 154 123 106 88 67 43

181 143 122 101 77 49 143 115 99 82 63 41172 137 117 96 74 48 132 107 92 77 59 39163 130 111 92 70 46 119 97 84 70 55 37153 122 105 87 67 44 105 87 76 64 50 34143 114 99 82 63 42 90 76 67 56 44 31

131 106 92 76 59 40 75 64 57 49 39 27120 97 85 71 54 38 63 54 48 41 33 23107 88 77 64 50 35 53 46 41 35 28 2094 78 69 58 45 32 46 40 35 30 24 1782 68 61 51 40 28 40 35 31 26 21 15

72 60 53 45 35 25 35 30 27 23 19 1364 53 47 40 31 22 31 27 24 21 16 1257 48 42 36 28 20 28 24 21 18 15 1051 43 38 32 25 18 ==== 22 19 16 13 946 38 34 29 23 16 ==== ==== 15 12 8

==== ====42 35 31 26 20 14 838 32 28 24 19 13 ====35 29 26 22 17 1232 27 24 20 16 1129 25 22 18 14 10

==== ====20 17 13 9

==== ==== 12 9==== ====

7.88 6.18 5.26 4.30 3.28 2.23 6.95 5.48 4.68 3.84 2.93 2.00

33.9 28.3 24.8 20.9 16.4 11.4 26.8 22.7 20.1 17.0 13.4 9.43

17.7 14.9 13.1 11.1 8.76 6.15 8.65 7.47 6.66 5.70 4.55 3.23

1.38 1.38 1.38 1.37 1.37 1.36 1.76 1.74 1.74 1.73 1.72 1.71

1.50 1.55 1.58 1.61 1.63 1.66 1.12 1.17 1.19 1.22 1.25 1.27

0.697 0.655 0.636 0.617 0.600 0.587 0.778 0.724 0.699 0.678 0.656 0.636

0.890 0.830 0.803 0.775 0.749 0.725 1.21 1.10 1.05 1.01 0.966 0.929

5.06 4.23 3.70 3.12 2.45 1.70 4.00 3.39 3.00 2.54 2.00 1.41

2.64 2.23 1.96 1.66 1.31 0.918 1.29 1.12 0.995 0.851 0.679 0.482

Effe

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02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

6 x 4 6 x 3

Fy = 46 ksi

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 30: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

30

4.78 4.10 3.37 2.58 1.77 6.95 5.48 4.68 3.84 2.93

17.1 15.3 13.1 10.5 7.42 21.2 17.9 15.8 13.4 10.6

2.75 2.52 2.21 1.80 1.31 14.8 12.6 11.1 9.46 7.48

2.49 2.46 2.43 2.42 2.38 1.20 1.19 1.19 1.19 1.19

0.759 0.784 0.809 0.835 0.861 1.46 1.52 1.54 1.57 1.60

0.839 0.804 0.772 0.737 0.716 0.820 0.765 0.741 0.716 0.691

1.74 1.63 1.52 1.43 1.35 0.939 0.870 0.843 0.812 0.783

2.55 2.28 1.96 1.57 1.11 3.17 2.67 2.36 2.00 1.58

0.411 0.376 0.330 0.269 0.196 2.21 1.88 1.66 1.41 1.12

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

3/8 5/16 1/4 3/16 1/8 1/2 3/8 5/16 1/4 3/16

17.27 14.83 12.21 9.42 6.46 25.03 19.82 16.96 13.91 10.70

0.349 0.291 0.233 0.174 0.116* 0.465 0.349 0.291 0.233 0.174

132 113 93 71 44 192 151 129 106 81119 103 85 65 41 184 145 124 102 78110 95 79 61 39 178 141 121 99 7699 87 72 56 37 172 137 117 96 7487 77 64 50 34 166 132 113 93 71

74 65 56 44 31 158 126 108 89 6858 53 46 37 26 150 120 103 85 6545 41 36 29 21 142 114 98 81 6235 32 28 23 17 133 107 92 77 5929 26 23 19 14 123 100 86 72 55

24 22 19 15 11 113 92 80 67 5220 18 16 13 9 102 84 73 61 48

==== 15 14 11 8 90 76 66 56 44==== ==== ==== 7 78 67 59 50 39

==== 68 58 51 44 35

60 51 45 38 3053 45 40 34 2747 41 36 30 2443 36 32 27 2238 33 29 25 19

35 30 26 22 1832 27 24 20 1629 25 22 19 1527 23 20 17 14

==== 21 18 16 12==== ====

15 12==== ====

6 x 2 5 x 4

Fy = 46 ksi

PROPERTIES

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 31: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

31

6.02 4.78 4.10 3.37 2.58 1.77 3.14 2.41 1.65

16.4 14.1 12.6 10.7 8.53 6.03 9.40 7.51 5.34

7.14 6.23 5.59 4.81 3.85 2.75 3.13 2.53 1.82

1.52 1.50 1.50 1.49 1.49 1.48 1.73 1.72 1.71

1.09 1.14 1.17 1.19 1.22 1.25 0.998 1.02 1.05

0.918 0.848 0.813 0.787 0.756 0.734 0.835 0.802 0.772

1.26 1.15 1.10 1.05 1.01 0.965 1.25 1.19 1.13

2.45 2.11 1.88 1.60 1.27 0.900 1.40 1.12 0.797

1.07 0.930 0.835 0.718 0.575 0.411 0.467 0.378 0.272

Effe

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02345

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

1/2 3/8 5/16 1/4 3/16 1/8 1/4 3/16 1/8

21.63 17.27 14.83 12.21 9.42 6.46 11.36 8.78 6.03

0.465 0.349 0.291 0.233 0.174 0.116* 0.233 0.174 0.116*

166 132 113 93 71 48 87 67 44156 124 107 88 67 46 81 62 42149 119 103 85 65 44 77 59 40141 113 98 81 62 43 72 56 38132 107 92 76 59 41 67 52 36

123 99 86 71 55 38 61 47 33112 92 80 66 51 36 54 43 30100 83 73 61 47 33 48 37 2688 74 65 54 43 30 40 32 2374 64 57 48 38 27 32 26 19

61 53 48 41 33 23 27 21 1652 45 40 34 28 20 23 18 1344 38 34 29 24 17 19 15 1138 33 30 25 20 15 17 13 1033 29 26 22 18 13 14 12 8

29 25 23 19 16 11 13 10 726 22 20 17 14 10 ==== 9 723 20 18 15 12 9 ==== ====

==== 18 16 14 11 8==== ==== ==== 10 7

==== ====

5 x 3 5 x 2 1/2

Fy = 46 ksi

PROPERTIES

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 32: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

32

Effe

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KL

in fe

et

02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

Fy = 46 ksi

5 x 2 4 x 3 4 x 2 1/2

3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8 5/16 1/4 3/16

14.72 12.70 10.51 8.15 5.61 14.72 12.70 10.51 8.15 5.61 11.64 9.66 7.51

0.349 0.291 0.233 0.174 0.116* 0.349 0.291 0.233 0.174 0.116 0.291 0.233 0.174

113 97 80 62 41 113 97 80 62 43 89 74 57102 88 73 56 39 106 92 76 58 40 83 69 5394 81 68 53 36 102 88 73 56 39 78 65 5084 74 62 48 34 96 83 69 54 37 73 61 4774 65 55 43 30 91 78 65 51 35 67 56 44

62 55 47 38 27 84 73 61 48 33 61 51 4048 44 39 31 22 77 67 56 44 31 53 45 3637 34 30 25 18 69 61 51 40 28 46 39 3129 27 24 19 14 61 54 46 36 25 37 32 2624 22 19 16 11 52 46 40 32 22 30 26 21

20 18 16 13 9 43 39 34 27 19 25 22 1816 15 13 11 8 36 32 28 23 16 21 18 15

==== ==== 11 9 7 31 28 24 19 14 18 16 13==== ==== 6 27 24 21 17 12 15 13 11

==== 23 21 18 15 10 13 12 9====

20 18 16 13 9 10 818 16 14 11 8 ==== ====16 14 13 10 7

==== ==== 11 9 6==== ==== 6

====

4.09 3.52 2.91 2.24 1.54 4.09 3.52 2.91 2.24 1.54 3.23 2.67 2.06

10.3 9.34 8.08 6.50 4.65 7.92 7.13 6.15 4.93 3.52 6.13 5.32 4.30

2.27 2.09 1.84 1.51 1.10 5.00 4.52 3.91 3.16 2.27 2.89 2.53 2.06

2.13 2.11 2.10 2.07 2.06 1.26 1.26 1.25 1.25 1.25 1.46 1.45 1.44

0.746 0.771 0.796 0.822 0.848 1.11 1.13 1.16 1.19 1.21 0.946 0.973 0.999

0.993 0.942 0.900 0.862 0.828 1.03 0.987 0.946 0.909 0.875 1.05 1.00 0.958

1.80 1.68 1.58 1.48 1.40 1.23 1.17 1.12 1.06 1.02 1.40 1.32 1.25

1.54 1.39 1.21 0.971 0.694 1.18 1.06 0.918 0.736 0.526 0.915 0.794 0.642

0.339 0.312 0.275 0.225 0.164 0.747 0.675 0.584 0.472 0.339 0.432 0.378 0.308

PROPERTIES

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 33: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

33

3.39 2.94 2.44 1.89 1.30 3.39 2.94 2.44 1.89 1.30

5.59 5.12 4.49 3.66 2.65 4.74 4.34 3.79 3.09 2.23

1.79 1.66 1.48 1.22 0.898 2.75 2.53 2.23 1.82 1.33

1.77 1.76 1.74 1.73 1.72 1.31 1.31 1.30 1.30 1.29

0.727 0.752 0.778 0.804 0.830 0.902 0.929 0.956 0.983 1.01

1.21 1.15 1.09 1.03 0.981 1.25 1.19 1.13 1.07 1.02

1.89 1.77 1.65 1.55 1.45 1.54 1.45 1.37 1.30 1.22

0.835 0.765 0.670 0.547 0.396 0.708 0.648 0.566 0.461 0.333

0.267 0.248 0.221 0.182 0.134 0.411 0.378 0.333 0.272 0.199

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3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8

12.17 10.58 8.81 6.87 4.75 12.17 10.58 8.81 6.87 4.75

0.349 0.291 0.233 0.174 0.116 0.349 0.291 0.233 0.174 0.116

94 81 67 52 36 94 81 67 52 3684 73 61 48 33 86 75 63 49 3377 68 57 44 31 81 71 59 46 3269 61 51 40 28 75 66 55 43 3060 53 45 36 25 69 61 51 40 28

49 45 39 31 22 61 54 46 36 2538 35 31 25 18 53 48 41 32 2329 27 24 20 15 44 40 35 28 2023 21 19 16 11 35 32 29 23 1719 17 15 13 9 29 26 23 19 14

15 14 13 10 8 24 22 19 16 1113 12 11 9 6 20 18 16 13 10

==== ==== ==== 7 5 17 16 14 11 8==== ==== 15 13 12 10 7

13 12 10 8 6==== ==== ====

7 5==== ====

4 x 2 3 1/2 x 2 1/2

Fy = 46 ksi

PROPERTIES

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Note: Double Horizontal Line indicates k l/r limit of 200.

Page 34: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

34

2.64 2.21 1.71 1.19 2.35 1.97 1.54 1.07 1.74 1.37 0.96

2.91 2.57 2.11 1.54 2.38 2.12 1.76 1.30 1.68 1.42 1.06

2.17 1.93 1.59 1.16 1.23 1.11 0.931 0.692 0.541 0.466 0.355

1.16 1.15 1.15 1.15 1.39 1.38 1.37 1.37 1.76 1.75 1.73

0.907 0.935 0.962 0.990 0.724 0.750 0.777 0.804 0.558 0.584 0.610

1.36 1.29 1.22 1.16 1.48 1.39 1.31 1.23 1.55 1.45 1.36

1.52 1.43 1.34 1.28 1.91 1.77 1.65 1.55 2.41 2.20 2.03

0.435 0.384 0.315 0.230 0.355 0.317 0.263 0.194 0.251 0.212 0.158

0.324 0.288 0.237 0.173 0.184 0.166 0.139 0.103 0.081 0.070 0.053

5/16 1/4 3/16 1/8 5/16 1/4 3/16 1/8 1/4 3/16 1/8

9.51 7.96 6.23 4.33 8.45 7.11 5.59 3.90 6.26 4.96 3.48

0.291 0.233 0.174 0.116 0.291 0.233 0.174 0.116 0.233 0.174 0.116

73 61 47 33 65 54 43 30 48 38 2667 57 44 31 58 49 39 27 41 33 2363 53 42 29 53 45 36 25 36 29 2159 50 39 27 48 41 32 23 30 24 1854 46 36 25 41 36 29 20 22 19 14

48 41 32 23 34 30 24 18 16 13 1042 36 29 21 26 23 20 14 11 10 835 31 25 18 20 18 15 11 9 8 628 25 20 15 16 14 12 9 7 6 523 20 16 12 13 11 10 7 ==== ==== 4

====19 17 14 10 11 9 8 616 14 11 8 9 8 7 513 12 10 7 ==== ==== ==== 411 10 8 6 ====10 9 7 5

==== ====6 5

==== ====

3 x 2 1/2 3 x 2 3 x 1 1/2

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Fy = 46 ksi

PROPERTIES

Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 35: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

35

1.19 0.84 1.51 1.19 0.84 1.02 0.72 0.84 0.61

1.07 0.817 1.03 0.881 0.668 0.494 0.383 0.349 0.280

0.172 0.138 0.447 0.389 0.299 0.312 0.244 0.112 0.092

2.49 2.43 1.52 1.50 1.49 1.26 1.25 1.77 1.74

0.380 0.405 0.544 0.571 0.597 0.553 0.580 0.364 0.389

1.67 1.54 1.83 1.69 1.57 2.06 1.88 2.41 2.18

3.46 3.04 2.53 2.29 2.11 2.45 2.21 3.75 3.32

0.160 0.122 0.154 0.132 0.100 0.074 0.057 0.052 0.042

0.026 0.021 0.067 0.058 0.045 0.047 0.036 0.017 0.014

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3/16 1/8 1/4 3/16 1/8 3/16 1/8 3/16 1/8

4.32 3.05 5.41 4.32 3.05 3.68 2.63 3.04 2.20

0.174 0.116 0.233 0.174 0.116 0.174 0.116 0.174 0.116

33 23 42 33 23 28 20 23 1725 18 35 28 20 24 17 17 1318 14 31 25 18 21 15 12 1011 9 25 21 15 17 13 7 67 6 19 16 12 13 10 5 4

5 4 13 11 9 9 7 3 3==== ==== 9 8 6 7 5 ==== ====

7 6 5 5 46 5 4 4 3

==== ==== ==== ==== ====

3 x 1 2 1/2 x 1 1/2 2 x 1 1/2 2 x 1

Fy = 46 ksi

PROPERTIES

Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 36: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

36

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

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1617181920

2122232425

2627282930

3132333435

3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Fy = 50 ksi

16 x 16 14 x 14 12 x 12

5/8 1/2 3/8 5/16 5/8 1/2 3/8 5/16 5/8 1/2 3/8 5/16 1/4

127.37 103.30 78.52 65.87 110.36 89.68 68.31 57.36 93.34 76.07 58.10 48.86 39.43

0.581 0.465 0.349* 0.291* 0.581 0.465 0.349* 0.291* 0.581 0.465 0.349 0.291* 0.233*

1050 849 587 444 909 738 550 417 771 627 480 388 2751040 842 583 442 900 731 546 414 762 620 474 385 2731040 838 581 441 895 727 544 412 757 615 471 383 2721030 834 579 439 889 722 542 411 751 611 468 381 2711030 829 577 438 884 718 539 409 745 606 464 379 269

1020 824 575 436 878 713 537 407 739 601 461 377 2681010 820 573 435 871 708 534 405 732 596 456 374 2671010 815 570 433 865 703 531 403 725 590 452 372 2651000 809 568 431 858 697 528 401 718 584 448 369 263993 804 565 429 851 691 525 399 710 578 443 366 262

986 798 562 427 843 685 521 396 702 572 439 363 260979 792 559 425 836 679 517 394 694 565 434 360 258971 786 556 423 828 673 512 392 686 559 428 357 256964 780 553 421 819 666 507 389 677 552 423 354 254955 774 550 419 811 659 502 386 668 544 418 350 252

947 767 547 417 802 652 497 384 658 537 412 346 249939 760 543 414 793 645 491 381 649 529 406 341 247930 753 540 412 784 638 486 378 639 521 400 336 245921 746 536 410 774 630 480 375 628 513 394 331 242912 739 533 407 765 622 474 371 618 505 388 325 239

903 731 529 404 755 614 468 368 607 496 381 320 237893 724 525 402 745 606 462 365 596 487 375 315 234883 716 521 399 734 598 456 361 585 478 368 309 231873 708 517 396 724 589 450 358 573 469 361 303 228863 700 512 393 713 581 443 354 562 460 354 297 225

853 692 508 390 702 572 437 350 550 450 347 291 222842 683 503 387 691 563 430 346 537 441 339 285 218831 675 499 384 679 554 423 342 525 431 332 279 215820 666 494 381 667 544 416 338 512 420 324 273 211809 657 489 377 656 535 409 334 499 410 316 266 208

798 648 484 374 643 525 402 329 486 399 309 260 204786 639 479 370 631 515 394 325 472 389 300 253 200775 629 474 367 619 505 387 320 459 378 292 246 195763 620 468 363 606 495 379 315 445 367 284 239 191751 610 463 359 593 485 371 310 430 355 275 232 186

739 601 457 355 580 474 364 305 416 344 266 225 182726 591 451 351 566 463 356 299 401 332 257 217 177713 581 444 347 553 452 347 293 386 320 248 210 171701 570 436 343 539 441 339 286 370 307 239 202 165688 560 428 339 525 430 331 279 354 295 230 194 158

35.0 28.3 21.5 18.1 30.3 24.6 18.7 15.7 25.7 20.9 16.0 13.4 10.8

1370 1130 873 739 896 743 577 490 548 457 357 304 248

6.25 6.31 6.37 6.39 5.44 5.49 5.55 5.58 4.62 4.68 4.73 4.76 4.79

0.204 0.200 0.197 0.196 0.237 0.232 0.227 0.224 0.281 0.274 0.269 0.264 0.261

205 169 130 110 134 111 86.2 73.2 81.8 68.2 53.3 45.4 37.0

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 37: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

37

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

21.0 17.2 13.2 11.1 8.96 6.76 15.3 11.8 9.92 8.03 6.06

304 256 202 172 141 108 182 145 124 102 78.2

3.80 3.86 3.92 3.94 3.97 4.00 3.45 3.51 3.54 3.56 3.59

0.345 0.336 0.327 0.323 0.318 0.313 0.378 0.366 0.360 0.354 0.349

45.4 38.2 30.2 25.7 21.1 16.1 27.2 21.7 18.5 15.2 11.7

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2122232425

2627282930

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PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

5/8 1/2 3/8 5/16 1/4 3/16 1/2 3/8 5/16 1/4 3/16

76.33 62.46 47.90 40.35 32.63 24.73 55.66 42.79 36.10 29.23 22.18

0.581 0.465 0.349 0.291 0.233* 0.174* 0.465 0.349 0.291 0.233 0.174*

630 516 396 333 254 162 459 354 298 241 154621 508 390 328 251 160 451 348 293 237 153615 504 387 326 250 159 447 345 290 235 152609 500 384 323 248 158 442 341 287 232 151603 495 380 319 246 158 437 337 284 230 150

597 489 376 316 245 156 432 333 280 227 148590 484 372 313 243 155 426 329 277 224 147582 478 367 309 241 154 419 324 273 221 146574 471 362 305 238 153 413 319 269 218 144566 465 357 301 236 152 406 314 264 214 143

558 458 352 296 234 150 399 309 260 211 141549 451 347 292 231 149 391 303 255 207 140539 443 341 287 228 148 384 297 250 203 138530 436 336 283 225 146 376 291 245 199 136520 428 330 278 222 144 367 285 240 195 134

510 420 324 272 219 143 359 278 235 191 132499 411 317 267 216 141 350 272 229 186 130488 402 311 262 212 139 341 265 224 181 128477 393 304 256 207 137 331 258 218 177 125466 384 297 250 203 135 322 251 212 172 123

454 375 290 245 198 133 312 243 206 167 120442 365 283 238 193 131 301 235 199 162 118429 355 275 232 188 129 291 228 193 157 115417 345 268 226 183 127 280 219 186 151 112404 335 260 219 178 124 269 211 179 146 109

390 324 252 213 173 122 258 203 172 140 105377 313 244 206 167 119 246 194 165 134 102363 302 236 199 162 116 234 185 157 128 98349 291 227 192 156 113 222 176 150 122 93334 279 218 185 150 110 209 166 142 116 89

319 267 209 177 145 107 197 157 134 110 84304 255 200 170 138 103 184 147 126 103 79288 243 191 162 132 100 173 138 118 97 74272 230 181 154 126 96 163 130 112 91 70257 217 172 146 119 91 154 123 105 86 66

243 205 162 138 113 87 146 116 99 81 62230 194 154 131 107 82 138 110 94 77 59218 184 146 124 101 78 131 104 89 73 56207 175 138 117 96 74 124 99 85 69 53197 166 131 112 92 70 118 94 81 66 51

10 x 10 9 x 9

Fy = 50 ksi

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 38: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

38

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

5/8 1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16

59.32 48.85 37.69 31.84 25.82 19.63 50.81 42.05 32.58 27.59 22.42 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*

492 405 312 263 213 146 420 348 269 228 185 137482 397 306 258 209 144 410 340 263 223 181 135477 393 303 255 207 143 405 336 260 220 179 134471 388 299 252 204 142 398 330 256 217 176 132464 382 295 249 202 141 391 325 252 213 173 131

457 377 291 245 199 139 384 319 247 209 170 129449 370 286 241 196 138 376 312 242 205 167 127441 364 281 237 192 136 367 305 237 201 164 124432 357 276 233 189 135 358 298 232 196 160 121423 350 271 228 185 133 348 290 226 192 156 118

414 342 265 224 181 131 338 282 220 187 152 115404 334 259 219 178 129 328 274 213 181 148 112394 326 253 214 173 127 317 265 207 176 144 109383 317 246 208 169 124 306 256 200 170 139 106372 308 240 203 165 122 294 246 193 164 134 102

361 299 233 197 160 119 281 236 186 158 129 98349 290 226 191 155 117 269 226 178 152 124 95337 280 218 185 151 114 256 216 170 145 119 91324 270 211 179 145 111 242 205 162 138 114 87311 259 203 172 140 107 228 193 153 131 108 82

298 249 195 166 135 103 213 182 145 124 102 78284 238 187 159 130 99 198 170 136 117 96 74270 226 178 152 124 95 183 157 126 109 90 69255 215 170 145 118 90 168 144 117 101 84 64240 203 161 137 112 86 155 133 108 93 77 59

224 190 151 129 106 81 143 123 100 86 72 55209 177 142 122 100 77 133 114 92 80 66 51194 165 132 114 93 72 123 106 86 74 62 47181 154 123 106 87 67 115 99 80 69 58 44169 144 115 99 81 63 107 92 75 65 54 41

158 135 108 93 76 59 101 87 70 61 50 39148 126 101 87 71 55 94 81 66 57 47 36140 119 95 82 67 52 89 76 62 53 44 34132 112 90 77 63 49 84 72 58 50 42 32124 106 85 73 60 46 79 68 55 48 40 30

117 100 80 69 56 43 75 64 52 45 37 29111 95 76 65 53 41 71 61 49 43 35 27105 90 72 62 51 39 67 58 47 40 34 26100 85 68 59 48 37 64 55 44 38 32 2495 81 65 56 46 35 60 52 42 36 30 23

16.4 13.5 10.4 8.76 7.10 5.37 14.0 11.6 8.97 7.59 6.17 4.67

146 125 99.6 85.6 70.7 54.4 93.3 80.5 64.9 56.1 46.5 36.0

2.99 3.04 3.10 3.13 3.15 3.18 2.58 2.63 2.69 2.72 2.75 2.77

0.449 0.432 0.418 0.409 0.402 0.395 0.525 0.504 0.484 0.474 0.464 0.454

21.8 18.7 14.9 12.8 10.6 8.12 13.9 12.0 9.69 8.38 6.94 5.38

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2122232425

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3132333435

3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

8 x 8 7 x 7

Fy = 50 ksi

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 39: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

39

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

5/8 1/2 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8

42.30 35.24 27.48 23.34 19.02 14.53 9.86 24.93 21.21 17.32 13.25 9.01

0.581 0.465 0.349 0.291 0.233 0.174 0.116* 0.349 0.291 0.233 0.174 0.116*

351 292 227 193 157 119 69 206 176 143 109 66341 284 221 188 153 116 68 200 170 139 106 65335 279 218 185 151 115 67 197 167 137 104 64328 274 214 181 148 113 66 192 164 134 102 63321 268 209 178 145 110 65 188 160 131 100 62

313 262 204 174 142 108 64 183 156 127 97 61304 255 199 169 138 105 63 177 151 124 94 60295 247 194 165 135 103 62 172 146 120 91 58285 240 188 160 131 100 61 165 141 116 88 57275 231 181 155 127 97 60 159 136 111 85 56

264 223 175 149 122 93 58 152 130 107 82 54253 214 168 143 118 90 57 145 124 102 78 52241 204 161 138 113 86 55 138 118 97 74 50228 194 153 131 108 83 54 130 112 92 71 48215 184 146 125 103 79 52 122 105 86 67 46

202 173 138 118 97 75 50 113 98 81 62 43188 162 129 111 92 71 48 104 90 75 58 40173 150 121 104 86 66 45 95 83 69 53 37158 138 111 96 80 62 43 86 75 62 49 34143 126 102 89 74 57 39 77 68 56 44 31

130 114 93 81 67 53 36 70 61 51 40 28118 104 84 74 61 48 33 64 56 46 36 25108 95 77 67 56 44 30 58 51 42 33 2399 87 71 62 52 40 28 54 47 39 30 2191 80 65 57 48 37 26 49 43 36 28 20

85 74 60 53 44 34 24 46 40 33 26 1878 69 56 49 41 32 22 42 37 31 24 1773 64 52 45 38 30 20 39 34 29 22 1668 60 49 42 35 28 19 37 32 27 21 1563 56 45 40 33 26 18 34 30 25 20 14

59 52 43 37 31 24 17 32 28 23 18 1356 49 40 35 29 23 16 30 26 22 17 1252 46 38 33 27 21 15 28 25 21 16 1149 43 35 31 26 20 14 27 23 19 15 1147 41 33 29 24 19 13 ==== 22 18 14 10

==== ====44 39 32 27 23 18 12 14 9

==== 37 30 26 22 17 12 ==== ======== 28 25 21 16 11

==== ==== 20 15 11==== ==== ====

11.7 9.74 7.58 6.43 5.24 3.98 2.70 6.88 5.85 4.77 3.63 2.46

55.1 48.2 39.4 34.3 28.6 22.3 15.5 29.7 25.9 21.7 17.0 11.8

2.17 2.23 2.28 2.31 2.34 2.37 2.39 2.08 2.11 2.13 2.16 2.19

0.637 0.606 0.577 0.562 0.550 0.535 0.523 0.637 0.621 0.604 0.587 0.573

8.23 7.20 5.88 5.12 4.27 3.33 2.31 4.44 3.87 3.24 2.54 1.76

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2122232425

2627282930

3132333435

3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Fy = 50 ksi

6 x 6 5 1/2 x 5 1/2

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates K l/r limit of 200.

Page 40: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

40

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

1/2 3/8 5/16 1/4 3/16 1/8 1/2 3/8 5/16 1/4 3/16 1/8

28.43 22.37 19.08 15.62 11.97 8.16 25.03 19.82 16.96 13.91 10.70 7.31

0.465 0.349 0.291 0.233 0.174 0.116* 0.465 0.349 0.291 0.233 0.174 0.116*

236 185 158 129 98 63 209 164 140 115 88 60228 179 153 125 95 62 200 158 135 111 85 58223 175 149 122 93 61 195 154 132 108 83 57217 171 146 119 91 60 189 150 128 105 80 55211 166 142 116 89 59 182 145 124 102 78 53

204 161 137 113 86 57 175 139 119 98 75 52197 155 133 109 83 56 167 133 114 94 72 50188 149 128 105 80 55 158 127 109 90 69 47180 143 122 101 77 53 149 120 103 86 66 45171 136 117 96 74 51 140 113 97 81 62 43

161 129 111 91 70 48 129 105 91 76 58 40151 121 104 86 67 46 119 97 84 70 54 38141 113 98 81 63 43 107 89 77 65 50 35130 105 91 76 59 40 95 80 70 59 46 32118 96 84 70 54 38 83 70 62 53 41 29

106 87 76 64 50 35 73 62 55 47 36 2694 78 68 57 45 31 65 55 49 41 32 2384 69 61 51 40 28 58 49 43 37 29 2075 62 55 46 36 25 52 44 39 33 26 1868 56 49 42 33 23 47 40 35 30 23 16

61 51 45 38 30 21 42 36 32 27 21 1556 46 41 34 27 19 39 33 29 25 19 1451 42 37 31 25 17 35 30 27 23 18 1247 39 34 29 23 16 32 28 24 21 16 1143 36 32 27 21 15 30 25 22 19 15 11

40 33 29 25 19 14 28 23 21 18 14 1037 31 27 23 18 13 ==== 22 19 16 13 935 29 25 21 17 12 ==== 18 15 12 832 27 23 20 16 11 ==== ==== 11 830 25 22 18 15 10 ==== ====

====23 20 17 14 10

==== ==== 16 13 9==== ==== 8

====

7.88 6.18 5.26 4.30 3.28 2.23 6.95 5.48 4.68 3.84 2.93 2.00

26.0 21.7 19.0 16.0 12.6 8.80 18.0 15.3 13.5 11.4 9.02 6.35

1.82 1.87 1.90 1.93 1.96 1.99 1.61 1.67 1.70 1.73 1.75 1.78

0.758 0.712 0.692 0.672 0.651 0.634 0.869 0.806 0.780 0.758 0.731 0.709

3.88 3.24 2.84 2.39 1.88 1.31 2.69 2.28 2.02 1.70 1.35 0.948

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1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

5 x 5 4 1/2 x 4 1/2

Fy = 50 ksi

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates K l/r limit of 200.

Page 41: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

41

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

6.02 4.78 4.10 3.37 2.58 1.77 4.09 3.52 2.91 2.24 1.54

11.9 10.3 9.14 7.80 6.21 4.40 6.48 5.84 5.04 4.05 2.90

1.41 1.46 1.49 1.52 1.55 1.58 1.26 1.29 1.32 1.35 1.37

1.01 0.928 0.897 0.864 0.831 0.805 1.10 1.05 1.01 0.968 0.929

1.78 1.54 1.36 1.16 0.927 0.657 0.968 0.872 0.753 0.605 0.433

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

1/2 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8

21.63 17.27 14.83 12.21 9.42 6.46 14.72 12.70 10.51 8.15 5.61

0.465 0.349 0.291 0.233 0.174 0.116 0.349 0.291 0.233 0.174 0.116

181 143 123 101 77 53 123 106 87 67 46172 137 118 97 74 51 116 100 83 64 44167 133 114 94 72 50 112 96 80 62 43160 128 110 91 70 48 107 92 77 59 41153 123 106 87 67 46 101 88 73 56 39

146 117 101 83 64 44 95 82 69 53 37137 111 96 79 61 42 88 77 64 50 35128 104 90 75 58 40 81 71 59 46 32118 97 84 70 54 38 73 64 54 43 30108 89 78 65 50 35 65 57 49 38 27

97 81 71 59 46 32 56 50 43 34 2486 72 63 54 42 30 47 42 37 29 2173 63 56 47 38 27 40 36 31 25 1863 54 48 41 33 23 34 31 27 22 1555 47 42 36 29 20 30 27 23 19 13

48 41 37 32 25 18 26 24 21 17 1243 37 33 28 22 16 23 21 18 15 1038 33 29 25 20 14 21 19 16 13 934 29 26 22 18 13 19 17 15 12 831 26 24 20 16 11 17 15 13 11 7

28 24 21 18 15 10 15 14 12 10 726 22 20 17 13 9 ==== ==== 11 9 623 20 18 15 12 9 ==== ==== ====

==== 18 16 14 11 8==== ==== 13 10 7

==== ====7

====

4 x 4 3 1/2 x 3 1/2

Fy = 50 ksi

Note: Double Horizontal Line indicates K l/r limit of 200.

Page 42: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

Note: Double Horizontal Line indicates K l/r limit of 200.

42

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

3/8 5/16 1/4 3/16 1/8 5/16 1/4 3/16 1/8 1/4 3/16 1/8

12.17 10.58 8.81 6.87 4.75 8.45 7.11 5.59 3.90 6.26 4.96 3.48

0.349 0.291 0.233 0.174 0.116 0.291 0.233 0.174 0.116 0.233 0.174 0.116

102 88 73 57 39 71 59 46 32 52 41 2995 82 69 53 37 65 54 43 30 47 37 2690 79 66 51 35 60 51 40 28 44 35 2585 74 62 48 33 55 47 37 26 40 32 2379 69 58 45 31 50 43 34 24 35 28 20

72 63 53 42 29 44 38 30 21 30 24 1864 57 48 38 27 37 32 26 19 24 20 1556 50 43 34 24 29 26 22 16 18 15 1248 43 37 30 21 23 21 17 13 14 12 939 36 31 25 18 19 17 14 10 12 10 7

32 29 26 21 15 16 14 12 9 10 8 627 25 22 18 13 13 12 10 7 8 7 523 21 18 15 11 11 10 8 6 7 6 420 18 16 13 9 10 9 7 5 ==== ==== 417 16 14 11 8 ==== 7 6 5 ====

==== ====15 14 12 10 7 413 12 11 9 6 ====

==== 11 10 8 6==== ==== 7 5

==== ====

3.39 2.94 2.44 1.89 1.30 2.35 1.97 1.54 1.07 1.74 1.37 0.96

3.77 3.45 3.02 2.46 1.78 1.82 1.63 1.35 0.998 1.13 0.952 0.712

1.05 1.08 1.11 1.14 1.17 0.879 0.908 0.937 0.965 0.805 0.835 0.863

1.35 1.28 1.21 1.15 1.10 1.61 1.51 1.43 1.34 1.73 1.62 1.52

0.563 0.515 0.451 0.367 0.266 0.272 0.243 0.202 0.149 0.169 0.142 0.106

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PROPERTIES

3 x 3 2 1/2 x 2 1/2 2 1/4 x 2 1/4

Fy = 50 ksi

Page 43: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

43

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips ERW

1.51 1.19 0.84 1.02 0.93 0.67 0.84 0.61 0.67 0.49

0.745 0.640 0.486 0.405 0.312 0.246 0.235 0.188 0.121 0.101

0.703 0.732 0.761 0.630 0.579 0.608 0.528 0.556 0.425 0.454

2.03 1.86 1.73 2.20 2.42 2.21 2.68 2.43 3.46 3.03

0.111 0.096 0.073 0.060 0.047 0.037 0.035 0.028 0.018 0.015

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3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

1/4 3/16 1/8 3/16 3/16 1/8 3/16 1/8 3/16 1/8

5.41 4.32 3.05 3.68 3.36 2.42 3.04 2.20 2.40 1.78

0.233 0.174 0.116 0.174 0.174 0.116 0.174 0.116 0.174 0.116

45 36 25 31 28 20 25 18 20 1540 32 23 27 24 17 21 15 16 1236 29 21 24 21 15 18 13 12 932 26 19 20 17 13 14 11 8 727 22 16 16 13 10 10 8 5 4

21 18 13 12 9 7 7 5 3 316 13 10 9 7 5 5 4 3 212 10 8 7 5 4 4 3 ==== ====10 8 6 5 4 3 ==== 28 7 5 4 ==== 3 ====

==== ====6 5 4

==== 5 4==== ====

2 x 2 1 3/4 x 1 3/4 1 5/8 x 1 5/8 1 1/2 x 1 1/2 1 1/4 x 1 1/4

Fy = 50 ksi

Note: Double Horizontal Line indicates K l/r limit of 200.

Page 44: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

44

28.3 21.5 18.1 30.3 24.6 18.7 15.7 20.9 16.0 13.4

1550 1200 1010 1440 1190 926 786 838 657 560

705 547 464 338 283 222 189 58.7 47.6 41.2

1.48 1.48 1.48 2.06 2.05 2.04 2.04 3.78 3.72 3.69

4.99 5.04 5.07 3.34 3.39 3.44 3.47 1.68 1.73 1.75

0.183 0.179 0.179 0.210 0.207 0.202 0.200 0.249 0.244 0.239

0.241 0.236 0.234 0.359 0.348 0.337 0.332 0.712 0.672 0.650

231 179 151 215 178 138 117 125 98.1 83.6

105 81.7 69.3 50.5 42.3 33.2 28.2 8.77 7.11 6.15

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1/2 3/8 5/16 5/8 1/2 3/8 5/16 1/2 3/8 5/16

103.30 78.52 65.87 110.36 89.68 68.31 57.36 76.07 58.10 48.86

0.465* 0.349* 0.291* 0.581 0.465* 0.349* 0.291* 0.465* 0.349* 0.291*

815 554 435 909 705 472 366 595 394 301808 549 432 893 696 467 362 578 385 294804 547 430 884 691 463 360 568 378 289800 544 428 875 685 460 357 555 371 284795 541 426 864 678 456 354 541 363 279

790 538 423 852 671 452 351 525 354 273785 535 421 840 664 447 348 507 345 266780 532 418 827 656 443 345 485 334 259774 528 416 814 648 438 341 459 322 250768 524 413 800 639 433 337 432 309 242

762 521 410 785 630 427 333 403 295 232755 517 407 769 620 421 329 373 279 222749 513 404 753 609 415 325 341 262 210742 508 401 736 599 409 320 307 242 197734 504 398 719 587 402 316 272 220 183

727 499 394 701 573 395 311 239 194 166719 494 391 683 558 388 305 212 172 147711 490 387 664 543 381 300 189 153 131703 484 384 644 527 373 294 169 138 117694 479 380 624 511 364 289 153 124 106

685 174 376 603 495 356 282 139 113 97676 468 372 582 478 347 276 126 103 88665 463 367 560 461 337 270 116 94 80654 457 363 537 443 327 263 106 86 74642 451 359 514 425 317 255 98 79 68

631 445 354 491 406 306 248 90 73 63619 438 349 466 387 294 240 84 68 58606 432 345 441 367 282 231 78 63 54594 425 340 416 347 269 222 ==== ==== 51581 418 335 389 326 254 213 ====

568 411 329 365 305 239 202555 403 324 342 286 224 191542 396 319 322 269 211 180528 388 313 303 254 199 170514 380 307 286 239 187 160

500 371 301 270 226 177 151486 363 295 256 214 168 143471 354 288 243 203 159 136456 344 282 230 193 151 129441 335 275 219 183 143 123

20 x 12 20 x 8 20 x 4

Fy = 50 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Page 45: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

45

771 627 421 324 236 738 528 415 771 627 448 348753 612 414 319 232 730 523 412 758 616 442 344741 604 410 316 230 725 521 410 750 610 439 341729 594 405 313 228 720 518 408 741 603 435 338716 583 400 309 226 715 515 405 732 596 431 335

701 571 394 305 223 709 512 403 722 588 426 332685 559 388 301 220 703 508 400 711 579 422 329669 546 382 296 217 697 505 398 700 570 417 325651 532 375 291 214 690 501 395 688 561 411 321632 517 367 286 210 683 497 392 676 551 406 317

613 502 359 280 207 676 493 389 663 541 400 313592 486 351 274 203 669 488 386 649 530 394 308571 469 342 268 199 661 484 382 635 519 387 304549 451 333 262 194 654 479 379 620 507 380 299526 433 322 255 190 646 475 375 605 495 373 294

502 414 312 247 185 637 470 372 589 482 365 288477 395 300 239 180 629 464 368 573 470 358 283451 374 288 231 174 620 459 364 557 456 349 277425 353 275 222 169 611 454 360 539 443 341 271397 332 260 212 162 601 448 356 522 429 331 264

368 309 244 202 156 592 442 352 504 414 321 258339 286 227 191 149 582 436 347 485 399 309 251310 262 209 178 141 572 430 343 466 384 298 243285 241 192 164 133 562 424 338 446 368 286 236262 222 177 151 124 552 417 333 426 352 274 227

242 205 163 140 115 541 410 328 405 336 262 219225 190 152 130 106 530 403 323 383 319 249 210209 177 141 121 99 519 396 318 361 302 236 200195 165 131 113 92 508 388 312 339 284 223 190182 154 123 105 86 496 380 307 317 265 209 178

171 144 115 99 81 484 371 301 297 249 196 167160 135 108 92 76 473 362 295 278 233 184 157151 127 101 87 71 460 353 289 262 219 173 148142 120 96 82 67 448 344 283 247 207 163 139134 113 90 77 63 435 334 276 233 195 154 131

126 107 85 73 60 423 325 269 220 184 145 124120 101 81 69 57 409 315 262 208 175 138 117114 96 76 66 54 396 305 255 197 165 130 111108 91 73 62 51 383 295 248 187 157 124 106102 87 69 59 48 369 285 240 178 149 118 100

25.7 20.9 16.0 13.4 10.8 24.6 18.7 15.7 25.7 20.9 16.0 13.4

923 770 602 513 419 904 702 595 815 679 531 451

158 134 106 91.3 75.1 581 452 384 274 230 181 155

2.42 2.40 2.38 2.37 2.36 1.25 1.25 1.24 1.72 1.72 1.71 1.71

2.48 2.53 2.58 2.61 2.63 4.86 4.91 4.94 3.27 3.32 3.37 3.40

0.251 0.244 0.239 0.235 0.232 0.218 0.213 0.211 0.252 0.246 0.241 0.238

0.488 0.468 0.453 0.440 0.431 0.254 0.248 0.245 0.375 0.363 0.354 0.346

138 115 89.9 76.6 62.6 135 105 88.9 122 101 79.3 67.3

23.6 20.0 15.8 13.6 11.2 86.8 67.5 57.3 40.9 34.3 27.0 23.1

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18 x 6 16 x 12 16 x 8

Fy = 50 ksi

PROPERTIES

5/8 1/2 3/8 5/16 1/4 1/2 3/8 5/16 5/8 1/2 3/8 5/16

93.34 76.07 58.10 48.86 39.43 89.68 68.31 57.36 93.34 76.07 58.10 48.86

0.581 0.465 0.349* 0.291* 0.233* 0.465 0.349* 0.291* 0.581 0.465 0.349* 0.291*

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 46: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

46

17.2 13.2 11.1 25.7 20.9 16.0 13.4 10.8

455 360 308 687 573 447 380 310

47.0 38.3 33.2 407 341 267 227 186

3.11 3.07 3.05 1.30 1.30 1.29 1.29 1.29

1.65 1.71 1.73 3.98 4.04 4.09 4.12 4.14

0.302 0.293 0.288 0.262 0.255 0.251 0.247 0.244

0.732 0.689 0.669 0.316 0.306 0.300 0.295 0.290

67.9 53.8 46.0 103 85.6 66.8 56.7 46.3

7.02 5.72 4.96 60.8 50.9 39.9 33.9 27.8

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1/2 3/8 5/16 5/8 1/2 3/8 5/16 1/4

62.46 47.90 40.35 93.34 76.07 58.10 48.86 39.43

0.465 0.349* 0.291* 0.581 0.465 0.349* 0.291* 0.233*

516 365 281 771 627 474 371 274496 355 274 760 618 469 367 272483 349 269 754 613 466 365 270469 341 264 747 608 462 363 269453 333 258 740 602 459 360 267

435 324 252 732 596 455 357 265416 313 244 724 590 451 354 263396 302 237 716 583 446 351 261374 290 228 707 576 441 348 259351 276 219 697 568 436 344 257

327 258 208 688 560 430 341 254301 240 197 677 552 424 337 252274 220 184 667 544 417 333 249246 199 170 656 535 411 329 246216 178 153 644 526 404 324 243

190 156 135 633 517 397 320 240168 139 119 621 507 390 315 237150 124 106 608 497 383 310 233135 111 95 596 487 375 305 230121 100 86 583 477 367 300 226

110 91 78 569 466 359 295 223100 83 71 555 455 351 289 21992 76 65 541 444 342 283 21584 69 60 527 433 334 277 21178 64 55 512 421 325 271 206

72 59 51 497 409 316 264 20267 55 47 481 397 307 258 198

==== 51 44 466 384 297 251 193==== ==== 449 371 288 243 188

433 358 278 234 183

416 345 268 226 178399 331 257 218 172381 317 247 209 166363 303 236 200 160344 288 225 191 154

326 273 214 182 147308 258 203 172 140292 245 192 163 133278 233 182 155 126264 221 173 147 120

16 x 4 14 x 10

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 47: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

47

5/8 1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16

76.33 62.46 47.90 40.35 32.63 24.73 67.82 55.66 42.79 36.10 29.23 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*

630 516 390 303 222 148 561 459 348 269 196 128615 504 383 298 219 146 538 441 338 262 191 126605 496 378 295 217 145 524 430 331 257 188 124595 488 373 291 214 143 507 417 323 251 184 122583 479 368 287 212 142 489 402 312 245 180 119

571 469 361 283 209 140 469 387 300 239 176 117558 459 353 278 206 138 447 370 288 231 171 114544 447 345 273 202 136 424 351 274 223 166 111529 436 336 268 199 134 399 332 260 214 160 108513 423 327 262 195 132 372 311 245 205 154 104

497 410 317 256 191 129 344 289 229 194 147 101480 396 307 250 187 127 314 266 212 181 139 96462 382 296 243 182 124 283 242 194 167 131 92443 367 285 236 177 121 250 216 175 151 122 87424 352 274 228 172 118 218 190 155 135 111 81

403 336 262 220 167 115 192 167 137 119 98 75382 319 249 211 161 112 170 148 121 105 87 68361 302 236 200 155 108 151 132 108 94 78 61338 284 223 189 149 105 136 118 97 84 70 55315 266 210 178 142 101 123 107 87 76 63 49

291 246 195 166 134 97 111 97 79 69 57 45266 227 181 154 126 92 101 88 72 63 52 41243 207 166 141 117 87 93 81 66 58 48 37223 190 152 130 107 82 85 74 61 53 44 34206 176 140 120 99 76 78 68 56 49 40 32

190 162 130 111 91 71 73 63 52 45 37 29176 150 120 103 85 66 ==== 59 48 42 35 27164 140 112 95 79 61 ==== 45 39 32 25153 130 104 89 74 57 ==== ==== 30 23143 122 97 83 69 53 ==== ====

134 114 91 78 64 50126 107 86 73 60 47118 101 80 69 57 44111 95 76 65 54 41105 90 72 61 50 39

99 85 68 58 48 3794 80 64 55 45 3589 76 61 52 43 3385 72 58 49 41 3180 69 55 47 39 30

21.0 17.2 13.2 11.1 8.96 6.76 18.7 15.3 11.8 9.92 8.03 6.06

478 402 317 271 222 170 373 317 252 216 178 137

124 105 84.1 72.3 59.6 45.9 47.1 41.1 33.6 29.2 24.4 19.0

1.96 1.96 1.94 1.94 1.93 1.92 2.81 2.78 2.74 2.72 2.70 2.69

2.43 2.48 2.53 2.55 2.58 2.61 1.59 1.64 1.69 1.72 1.74 1.77

0.308 0.300 0.291 0.287 0.283 0.278 0.351 0.338 0.328 0.321 0.316 0.310

0.508 0.491 0.471 0.461 0.451 0.442 0.794 0.745 0.702 0.679 0.658 0.638

71.4 60.0 47.3 40.5 33.2 25.4 55.7 47.3 37.6 32.3 26.6 20.5

18.5 15.7 12.6 10.8 8.90 6.85 7.03 6.14 5.02 4.36 3.64 2.84

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14 x 6 14 x 4

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 48: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

48

19.0 14.6 12.2 9.90 21.0 17.2 13.2 11.1 8.96 6.76

395 310 264 216 396 333 262 224 184 140

298 234 200 164 210 177 140 120 98.8 75.7

1.15 1.15 1.15 1.15 1.37 1.37 1.37 1.37 1.36 1.36

3.96 4.01 4.04 4.07 3.16 3.21 3.27 3.29 3.32 3.35

0.289 0.283 0.277 0.275 0.318 0.310 0.302 0.297 0.292 0.290

0.319 0.312 0.305 0.302 0.400 0.389 0.377 0.370 0.363 0.357

59.0 46.3 39.4 32.3 59.1 49.7 39.1 33.5 27.5 20.9

44.5 34.9 29.9 24.5 31.4 26.4 20.9 17.9 14.8 11.3

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1/2 3/8 5/16 1/4 5/8 1/2 3/8 5/16 1/4 3/16

69.27 53.00 44.60 36.03 76.33 62.46 47.90 40.35 32.63 24.73

0.465 0.349 0.291* 0.233* 0.581 0.465 0.349 0.291* 0.233* 0.174*

570 438 358 265 630 516 396 325 242 161562 432 354 263 619 507 389 321 238 159557 428 352 261 612 501 385 318 236 158552 425 349 260 604 495 381 315 234 157547 421 346 258 597 489 376 312 232 156

541 416 343 256 588 482 371 308 230 154535 412 340 254 579 475 365 305 227 153529 407 337 252 569 467 359 301 224 151522 402 334 250 559 459 353 296 222 150515 397 330 248 548 451 347 292 219 148

508 391 326 246 537 442 340 287 215 146500 385 322 243 526 432 333 281 212 145492 379 318 241 513 423 326 275 208 143484 373 312 238 501 412 319 268 205 141476 367 307 235 488 402 311 262 201 138

467 360 302 231 474 391 303 255 197 136458 354 296 228 460 380 294 248 192 133449 347 290 224 446 369 286 241 188 131439 339 284 221 431 357 277 234 183 128430 332 278 217 416 345 268 226 179 125

420 325 272 213 400 332 259 218 174 122409 317 266 209 384 319 249 210 168 119399 309 259 205 368 306 239 202 163 115388 301 253 200 351 292 229 194 157 112377 292 246 196 333 278 219 185 151 108

366 284 239 191 315 264 208 176 144 104354 275 231 186 296 249 197 167 137 100342 266 224 181 277 234 186 158 129 96330 257 217 176 259 219 174 148 122 92318 248 209 170 242 204 163 138 114 87

305 239 201 164 226 191 152 130 107 82293 229 193 158 212 179 143 122 100 77279 219 185 152 200 169 134 114 94 72266 209 177 145 188 159 127 108 89 68252 198 168 138 178 150 119 102 84 64

238 188 159 131 168 142 113 96 79 61226 178 151 124 159 134 107 91 75 57214 169 143 118 151 127 101 86 71 54203 160 136 112 143 121 96 82 67 52193 152 129 106 136 115 91 78 64 49

12 x 10 12 x 8

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 49: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

49

5/8 1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16

67.82 55.66 42.79 36.10 29.23 22.18 59.32 48.85 37.69 31.84 25.82 19.63

0.581 0.465 0.349 0.291* 0.233* 0.174* 0.581 0.465 0.349 0.291* 0.233* 0.174*

561 459 354 290 214 143 492 405 312 255 187 124547 448 346 285 210 141 472 389 300 248 182 121538 441 340 281 208 140 459 379 293 243 179 119529 434 335 278 206 138 444 367 284 238 175 117519 425 329 274 203 136 428 354 274 231 171 114

507 416 322 269 200 135 410 340 264 223 166 112495 407 315 264 197 133 390 325 253 214 161 109483 397 307 259 193 131 369 308 241 204 156 105469 386 299 252 189 128 347 291 228 194 150 102455 375 291 245 185 126 323 272 214 182 143 98

440 363 282 238 181 123 298 253 200 171 136 94424 350 272 230 177 121 272 232 184 158 128 90408 337 263 222 172 118 244 210 168 145 119 85391 324 253 214 167 115 214 187 151 131 108 80373 310 242 205 161 112 186 163 134 117 97 73

354 295 231 196 156 108 164 144 117 103 85 67335 280 220 187 149 105 145 127 104 91 75 59315 264 208 177 143 101 129 113 93 81 67 53295 248 196 167 136 97 116 102 83 73 60 47273 231 183 157 128 93 105 92 75 66 54 43

251 213 170 146 120 88 95 83 68 60 49 39229 195 157 135 111 83 87 76 62 54 45 35209 179 143 123 102 78 79 69 57 50 41 32192 164 132 113 93 72 73 64 52 46 38 30177 151 121 105 86 66 67 59 48 42 35 27

164 140 112 97 79 61 62 54 44 39 32 25152 130 104 90 74 57 ==== 50 41 36 30 23141 120 97 83 69 53 ==== ==== 33 28 22132 112 90 78 64 49 ==== ==== 20123 105 84 73 60 46 ====

115 98 79 68 56 43108 92 74 64 52 41102 87 70 60 49 3896 82 66 57 46 3690 77 62 53 44 34

85 73 59 50 41 3281 69 55 48 39 3077 65 53 45 37 2973 62 50 43 35 27

==== 59 47 41 34 26

18.7 15.3 11.8 9.92 8.03 6.06 16.4 13.5 10.4 8.76 7.10 5.37

321 271 215 184 151 116 245 209 168 144 119 91.8

106 91.1 72.9 62.8 51.9 40.0 40.3 35.3 28.9 25.2 21.0 16.4

1.74 1.72 1.72 1.71 1.71 1.70 2.47 2.43 2.41 2.39 2.38 2.37

2.39 2.44 2.49 2.52 2.54 2.57 1.57 1.62 1.67 1.70 1.72 1.75

0.350 0.339 0.329 0.323 0.319 0.313 0.402 0.388 0.371 0.365 0.358 0.351

0.529 0.504 0.486 0.474 0.464 0.455 0.814 0.765 0.720 0.695 0.676 0.655

47.9 40.5 32.1 27.5 22.5 17.3 36.6 31.2 25.1 21.5 17.8 13.7

15.8 13.6 10.9 9.38 7.75 5.97 6.02 5.27 4.32 3.76 3.14 2.45

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1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

12 x 6 12 x 4

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 50: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

50

3/8 5/16 5/16 1/4 3/16 1/4 3/16 1/2 3/8 5/16 1/4 3/16

36.41 30.78 29.72 24.12 18.35 22.42 17.08 55.66 42.79 36.10 29.23 22.18

0.349 0.291* 0.291* 0.233* 0.174* 0.233* 0.174* 0.465 0.349 0.291 0.233* 0.174*

300 247 238 173 114 160 104 459 354 298 232 154287 238 228 167 110 150 98 451 348 292 229 152278 233 221 163 107 143 94 446 344 289 227 151268 226 214 157 105 134 89 440 340 286 225 150257 218 202 152 101 123 84 434 335 282 223 149

245 208 190 145 98 109 77 428 331 278 220 147231 197 177 137 93 92 68 421 326 274 217 146217 185 162 129 89 71 57 414 320 270 214 144202 172 147 119 84 56 45 407 315 265 211 143186 159 130 108 78 46 37 399 309 260 208 141

168 145 113 94 71 38 30 391 303 255 205 139150 130 95 79 63 32 26 382 296 250 201 137131 114 81 68 54 27 22 373 289 244 197 135113 98 70 58 46 23 19 364 282 238 193 13398 85 61 51 40 ==== ==== 354 275 232 189 131

86 75 53 45 35 345 268 226 184 12876 66 47 40 31 334 260 220 179 12668 59 42 35 28 324 252 213 173 12361 53 38 32 25 313 244 206 168 12055 48 34 29 23 302 235 199 162 117

50 44 31 26 21 290 227 192 157 11446 40 ==== ==== 19 278 218 185 151 11042 36 ==== 266 209 177 145 10738 33 253 199 169 138 103

==== ==== 241 189 161 132 99

227 179 153 125 95214 169 144 119 90200 159 136 112 85186 148 127 105 80174 138 119 98 75

163 130 111 92 70153 122 104 86 66144 114 98 81 62135 108 92 76 58128 102 87 72 55

121 96 82 68 52114 91 78 64 49108 86 74 61 47103 82 70 58 4498 78 67 55 42

10.0 8.46 8.17 6.63 5.02 6.17 4.67 15.3 11.8 9.92 8.03 6.06

156 134 124 103 79.6 86.9 67.4 214 169 145 119 91.4

21.3 18.6 13.1 11.1 8.72 4.40 3.55 151 120 103 84.7 65.1

2.71 2.68 3.08 3.05 3.02 4.44 4.36 1.19 1.19 1.19 1.19 1.18

1.46 1.48 1.27 1.29 1.32 0.845 0.872 3.14 3.19 3.22 3.25 3.28

0.385 0.379 0.395 0.386 0.378 0.426 0.416 0.357 0.349 0.342 0.337 0.332

0.822 0.796 0.935 0.896 0.864 1.40 1.32 0.405 0.393 0.385 0.379 0.372

23.3 20.0 18.5 15.4 11.9 13.0 10.1 32.0 25.2 21.7 17.8 13.6

3.18 2.78 1.96 1.66 1.30 0.657 0.530 22.5 17.9 15.4 12.6 9.72

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1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

12 x 3 1/2 12 x 3 12 x 2 10 x 8

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 51: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

51

16.4 13.5 10.4 8.76 7.10 5.37 9.67 8.17 6.63 5.02

201 171 137 118 96.9 74.6 120 104 85.8 66.2

89.4 76.8 61.8 53.3 44.1 34.1 40.6 35.2 29.3 22.7

1.50 1.49 1.49 1.49 1.48 1.48 1.72 1.72 1.71 1.71

2.34 2.39 2.44 2.47 2.49 2.52 2.05 2.07 2.10 2.13

0.408 0.395 0.38 0.371 0.366 0.360 0.403 0.393 0.386 0.379

0.550 0.527 0.505 0.493 0.483 0.472 0.595 0.580 0.566 0.553

30.0 25.5 20.5 17.6 14.5 11.1 17.9 15.5 12.8 9.89

13.4 11.5 9.23 7.96 6.59 5.09 6.06 5.26 4.38 3.39

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5/8 1/2 3/8 5/16 1/4 3/16 3/8 5/16 1/4 3/16

59.32 48.85 37.69 31.84 25.82 19.63 35.13 29.72 24.12 18.35

0.581 0.465 0.349 0.291 0.233* 0.174* 0.349 0.291 0.233* 0.174*

492 405 312 263 205 138 290 245 191 128479 395 304 256 201 136 281 238 186 126472 389 300 253 198 134 276 233 184 124463 382 295 248 196 133 270 228 181 122454 374 289 244 193 131 263 223 177 120

444 366 283 239 190 129 256 217 173 117433 358 277 233 186 127 248 210 169 115421 348 270 228 182 125 240 203 165 112409 339 262 222 178 122 231 196 160 110396 328 255 215 174 120 222 188 154 106

382 317 246 209 170 117 212 180 147 103368 306 238 202 164 114 202 172 141 100353 294 229 194 158 111 191 163 133 96338 282 220 187 152 108 180 153 126 92322 269 210 179 146 104 168 144 118 87

305 256 200 170 139 101 156 133 110 83288 242 190 162 132 97 143 123 102 78270 228 179 153 125 93 130 112 93 72251 213 168 144 118 88 117 101 84 65231 197 157 135 110 84 105 91 76 59

211 181 145 125 102 78 96 82 69 54192 165 133 115 94 73 87 75 63 49176 151 121 105 86 67 80 69 57 45162 139 111 96 79 61 73 63 53 41149 128 103 89 73 57 67 58 49 38

138 118 95 82 68 52 62 54 45 35128 110 88 76 63 49 58 50 42 32119 102 82 71 58 45 54 46 39 30111 95 76 66 54 42 50 43 36 28103 89 71 62 51 39 47 40 34 26

97 83 67 58 48 37 44 38 32 2591 78 63 54 45 35 41 35 30 2386 73 59 51 42 32 39 33 28 2281 69 56 48 39 31 36 31 26 2076 65 52 45 37 29 ==== ==== 25 19

==== ====72 62 50 43 35 2768 58 47 40 33 2664 55 44 38 32 2461 53 42 36 30 23

==== ==== 40 35 29 22

10 x 6 10 x 5

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 52: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

52

5/8 1/2 3/8 5/16 1/4 3/16 3/16 3/8 5/16 1/4 3/16 1/8

50.81 42.05 32.58 27.59 22.42 17.08 16.44 30.03 25.46 20.72 15.80 10.71

0.581 0.465 0.349 0.291 0.233* 0.174* 0.174* 0.349 0.291 0.233* 0.174* 0.116*

420 348 296 228 177 118 113 248 210 163 108 60402 334 259 219 172 115 109 234 199 156 104 59391 325 252 214 169 113 107 225 191 152 101 57378 315 244 207 165 110 105 214 183 147 98 56364 303 236 200 160 108 102 202 173 141 95 54

348 291 227 193 156 105 98 189 162 133 91 52331 277 217 184 150 102 95 175 150 124 86 50312 263 206 176 144 99 91 159 138 114 81 48293 247 195 166 136 95 86 143 124 103 76 46272 231 182 156 129 91 81 125 109 92 69 43

250 213 170 146 120 87 76 105 94 80 62 40226 195 156 135 111 82 70 89 79 67 53 36202 176 142 123 102 76 63 76 67 57 45 32176 155 127 111 92 70 54 65 58 49 39 27153 135 111 98 82 63 47 57 50 43 34 24

134 119 98 86 72 56 42 50 44 38 30 21119 105 87 76 64 50 37 44 39 34 26 19106 94 77 68 57 44 33 39 35 30 23 1795 84 69 61 51 40 29 35 31 27 21 1586 76 63 55 46 36 27 32 28 24 19 13

==== ====78 69 57 50 42 32 24 22 17 1271 63 52 45 38 30 22 ==== ==== 1165 57 47 41 35 27 20 ====60 53 43 38 32 25 1855 49 40 35 30 23 17

==== ====45 37 32 27 21

==== 34 30 25 20==== ==== 24 18

==== ====

14.0 11.6 8.97 7.59 6.17 4.67 4.50 8.27 7.01 5.70 4.32 2.93

149 129 104 90.1 74.7 57.8 53.6 88.0 76.3 63.6 49.4 34.2

33.4 29.4 24.3 21.2 17.7 13.9 10.3 12.4 11.0 9.28 7.33 5.16

2.11 2.09 2.07 2.06 2.05 2.04 2.28 2.66 2.63 2.62 2.60 2.57

1.54 1.59 1.64 1.67 1.70 1.72 1.51 1.22 1.25 1.28 1.30 1.33

0.470 0.450 0.431 0.421 0.413 0.404 0.420 0.470 0.459 0.448 0.437 0.428

0.838 0.789 0.738 0.716 0.697 0.672 0.765 1.00 0.956 0.921 0.884 0.852

22.3 19.3 15.5 13.5 11.2 8.63 8.00 13.1 11.4 9.50 7.38 5.11

4.99 4.39 3.63 3.17 2.64 2.08 1.54 1.85 1.64 1.39 1.09 0.771

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

10 x 4 10 x 3 1/2 10 x 3

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 53: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

53

7.58 6.43 5.24 3.98 16.4 13.5 10.4 8.76 7.10 5.37

71.7 62.6 52.5 41.0 174 149 119 102 84.1 64.7

4.69 4.24 3.67 2.97 117 100 80.4 69.2 57.2 44.1

3.91 3.84 3.78 3.72 1.22 1.22 1.22 1.21 1.21 1.21

0.786 0.812 0.837 0.864 2.68 2.73 2.78 2.81 2.84 2.87

0.529 0.514 0.499 0.485 0.424 0.408 0.393 0.386 0.380 0.373

1.62 1.52 1.43 1.34 0.491 0.473 0.453 0.443 0.434 0.426

10.7 9.35 7.84 6.12 26.0 22.3 17.8 15.2 12.6 9.66

0.700 0.633 0.548 0.444 17.5 14.9 12.0 10.3 8.54 6.59

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3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16

27.48 23.34 19.02 14.53 59.32 48.85 37.69 31.84 25.82 19.63

0.349 0.291 0.233* 0.174* 0.581 0.465 0.349 0.291 0.233 0.174*

227 193 149 98 492 405 312 263 213 145205 175 139 92 481 396 305 257 209 143189 162 132 88 475 391 302 254 206 142171 147 121 83 468 385 297 251 203 140150 130 108 77 460 379 293 247 200 139

126 111 93 69 452 372 288 242 197 13799 89 77 60 443 365 282 238 193 13576 69 59 48 433 358 276 233 189 13360 54 47 38 423 350 270 228 185 13149 44 38 31 412 341 264 223 181 128

40 36 31 25 401 332 257 217 177 12634 31 26 21 390 323 250 212 172 12329 26 23 18 378 313 243 206 167 120

==== ==== ==== 16 365 303 235 199 162 118==== 352 293 228 193 157 115

338 282 220 186 152 111324 271 211 179 146 108310 259 202 172 141 105295 247 194 165 135 101279 235 184 157 128 97

263 222 175 149 122 93247 209 165 141 116 89230 195 155 132 109 84212 181 144 124 102 79195 167 133 115 95 73

181 154 123 106 88 68168 143 114 98 81 63156 133 106 91 76 59145 124 99 85 71 55136 116 93 80 66 51

127 109 87 75 62 48119 102 81 70 58 45112 96 77 66 55 42106 90 72 62 51 40100 85 68 59 48 37

94 81 64 55 46 3589 76 61 52 43 3485 72 58 50 41 3280 69 55 47 39 3076 65 52 45 37 29

10 x 2 9 x 7

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 54: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

54

14.0 11.6 8.97 7.59 6.17 4.67 9.74 7.58 6.43 5.24 3.98

133 115 92.5 79.8 66.1 51.1 80.8 66.3 57.7 48.2 37.6

51.9 45.2 36.8 32.0 26.6 20.7 13.2 11.2 9.88 8.38 6.63

1.60 1.60 1.59 1.58 1.58 1.57 2.47 2.43 2.42 2.40 2.38

1.92 1.97 2.03 2.05 2.08 2.10 1.16 1.21 1.24 1.27 1.29

0.474 0.454 0.436 0.428 0.420 0.411 0.542 0.514 0.501 0.489 0.476

0.674 0.642 0.609 0.593 0.580 0.564 1.11 1.02 0.976 0.938 0.900

19.9 17.2 13.8 11.9 9.87 7.63 12.1 9.90 8.62 7.20 5.61

7.75 6.75 5.50 4.78 3.97 3.09 1.97 1.67 1.48 1.25 0.990

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1617181920

2122232425

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3132333435

3637383940

5/8 1/2 3/8 5/16 1/4 3/16 1/2 3/8 5/16 1/4 3/16

50.81 42.05 32.58 27.59 22.42 17.08 35.24 27.48 23.34 19.02 14.53

0.581 0.465 0.349 0.291 0.233 0.174* 0.465 0.349 0.291 0.233 0.174*

420 348 269 228 185 125 292 227 193 157 105406 337 261 221 180 122 275 215 182 149 101398 330 256 217 176 120 263 206 175 143 98388 323 250 212 173 118 250 196 167 137 95378 314 244 207 168 116 235 185 158 130 91

366 305 237 201 164 114 218 173 148 122 87354 295 230 195 159 111 200 160 137 113 83341 285 222 189 154 109 180 145 126 104 77327 274 214 182 148 106 158 130 113 94 72312 262 205 174 143 102 135 113 99 84 65

296 249 196 167 136 99 112 95 85 72 56280 236 186 159 130 95 94 80 71 61 48263 222 176 150 123 91 80 68 61 52 41245 208 166 141 116 87 69 59 52 45 35226 193 154 132 109 82 60 51 46 39 31

206 177 143 123 101 77 53 45 40 34 27185 161 131 112 93 72 47 40 35 30 24165 144 118 102 85 66 42 36 32 27 21148 129 106 92 77 59 38 32 28 24 19134 117 96 83 69 53 ==== 29 26 22 17

==== ====121 106 87 75 63 48 20 16111 96 79 68 57 44 ==== ====101 88 72 63 52 4093 81 67 57 48 3786 75 61 53 44 34

79 69 57 49 41 3273 64 53 45 38 2968 60 49 42 35 2764 56 46 39 33 2559 52 43 37 31 24

56 49 40 34 29 2252 46 37 32 27 21

==== ==== 35 30 25 20==== 29 24 18

==== ==== 17====

9 x 5 9 x 3

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 55: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

55

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

Fy = 50 ksi

8 x 6 8 x 4

5/8 1/2 3/8 5/16 1/4 3/16 5/8 1/2 3/8 5/16 1/4 3/16 1/8

50.81 42.05 32.58 27.59 22.42 17.08 42.30 35.24 27.48 23.34 19.02 14.53 9.86

0.581 0.465 0.349 0.291 0.233 0.174* 0.581 0.465 0.349 0.291 0.233 0.174* 0.116*

420 348 269 228 185 132 351 292 227 193 157 111 64409 339 262 222 181 139 336 280 218 185 151 108 62402 334 258 219 178 128 326 272 213 181 147 106 61394 327 254 215 175 126 315 264 206 175 143 104 60386 321 249 211 171 124 303 254 199 169 138 101 59

377 313 243 206 168 122 289 243 191 162 133 98 57367 306 237 201 164 120 274 231 182 155 127 95 56357 297 231 196 160 117 259 219 173 147 121 91 54346 289 225 191 155 115 242 205 163 139 114 87 52335 279 218 185 151 112 224 191 152 130 107 83 50

322 270 211 179 146 109 205 176 141 121 100 77 47310 259 203 172 141 106 184 160 129 111 92 71 45296 249 195 166 136 102 163 143 117 101 84 65 42283 238 187 159 130 99 141 125 104 90 76 59 39268 226 178 152 124 95 123 109 91 79 67 52 36

253 214 169 144 119 91 108 96 80 69 58 46 32238 202 160 137 112 86 96 85 71 61 52 41 28221 189 150 129 106 81 85 76 63 55 46 36 25204 175 141 120 99 76 77 68 56 49 41 33 23187 161 130 112 92 71 69 61 51 44 37 29 20

170 147 119 103 85 66 63 56 46 40 34 27 19155 134 109 94 78 61 57 51 42 37 31 24 17141 122 100 86 71 55 52 46 39 33 28 22 15130 112 91 79 66 51 48 43 35 31 26 20 14120 104 84 73 60 47 44 39 33 28 24 19 13

====111 96 78 67 56 43 36 30 26 22 17 12103 89 72 62 52 40 ==== ==== 24 21 16 1195 83 67 58 48 37 ==== ==== 15 1089 77 63 54 45 35 ==== ====83 72 59 50 42 33

78 67 55 47 39 3073 63 51 44 37 2969 59 48 42 35 2765 56 46 39 33 2561 53 43 37 31 24

58 50 41 35 29 2355 47 38 33 28 21

==== 45 36 31 26 20==== 35 30 25 19

==== 28 24 18

14.0 11.6 8.97 7.59 6.17 4.67 11.7 9.74 7.58 6.43 5.24 3.98 2.70

114 98.2 79.1 68.3 56.6 43.7 81.9 71.7 58.7 51.0 42.5 33.1 22.9

72.2 62.5 50.6 43.8 36.4 28.2 26.6 23.6 19.6 17.2 14.4 11.3 7.90

1.26 1.25 1.25 1.25 1.25 1.24 1.75 1.74 1.73 1.72 1.72 1.71 1.70

2.27 2.32 2.38 2.40 2.43 2.46 1.51 1.56 1.61 1.63 1.66 1.69 1.71

0.491 0.473 0.454 0.445 0.436 0.427 0.571 0.543 0.517 0.504 0.493 0.481 0.472

0.582 0.557 0.532 0.520 0.509 0.497 0.880 0.825 0.773 0.748 0.728 0.704 0.684

17.0 14.7 11.8 10.2 8.45 6.53 12.2 10.7 8.77 7.62 6.35 4.94 3.42

10.8 9.33 7.56 6.54 5.44 4.21 3.97 3.52 2.93 2.57 2.15 1.69 1.18

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 56: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

56

8.81 6.88 5.85 4.77 3.63 2.46 6.18 5.26 4.30 3.28 2.23

58.5 48.5 42.4 35.5 27.8 19.3 38.2 33.7 28.5 22.4 15.7

11.7 9.94 8.81 7.49 5.94 4.20 3.72 3.38 2.94 2.39 1.72

2.24 2.21 2.19 2.18 2.16 2.14 3.20 3.16 3.11 3.06 3.02

1.15 1.20 1.23 1.25 1.28 1.31 0.776 0.801 0.827 0.853 0.879

0.602 0.567 0.552 0.537 0.522 0.510 0.647 0.624 0.604 0.586 0.568

1.13 1.04 0.996 0.955 0.917 0.879 1.66 1.56 1.46 1.37 1.30

8.74 7.24 6.33 5.30 4.15 2.88 5.70 5.03 4.26 3.35 2.34

1.75 1.48 1.32 1.12 0.887 0.627 0.556 0.505 0.439 0.357 0.257

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2122232425

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1/2 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8

31.84 24.93 21.21 17.32 13.25 9.01 22.37 19.08 15.62 11.97 8.16

0.465 0.349 0.291 0.233 0.174* 0.116* 0.349 0.291 0.233 0.174* 0.116*

264 206 176 143 101 57 185 158 129 91 51249 195 166 135 97 55 167 143 117 85 48238 187 159 130 94 54 154 132 109 80 46225 178 152 124 91 52 138 120 99 75 43212 168 144 118 87 50 121 105 88 68 40

196 156 134 110 83 49 101 89 76 59 37179 144 124 102 78 46 79 71 62 49 33161 131 113 94 73 44 60 55 48 39 28142 117 102 84 66 41 48 43 38 31 22121 101 89 74 59 38 39 35 30 25 18

100 85 76 64 51 35 32 29 25 20 1584 71 64 54 43 30 27 24 21 17 1271 61 54 46 36 26 ==== 21 18 15 1162 52 47 39 31 22 ==== ==== 13 954 46 41 34 27 19 ==== ====

47 40 36 30 24 1742 36 32 27 21 1537 32 28 24 19 1433 28 25 21 17 12

==== 26 23 19 15 11==== ==== ====

14 10==== ====

8 x 3 8 x 2

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 57: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

57

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

Effe

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in fe

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02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

Fy = 50 ksi

7 x 5 7 x 4

5/8 1/2 3/8 5/16 1/4 3/16 1/8 1/2 3/8 5/16 1/4 3/16 1/8

42.30 35.24 27.48 23.34 19.02 14.53 9.86 31.84 24.93 21.21 17.32 13.25 9.01

0.581 0.465 0.349 0.291 0.233 0.174* 0.116* 0.465 0.349 0.291 0.233 0.174* 0.116*

351 292 227 193 157 118 68 264 206 176 143 107 62339 283 220 187 152 115 67 253 198 169 138 104 60332 277 216 183 149 113 66 246 193 164 134 102 59324 270 211 179 146 111 65 238 186 159 130 99 58314 263 205 174 142 108 64 229 180 153 125 96 56

304 255 199 169 138 105 63 219 172 147 121 92 55294 246 193 164 134 102 61 208 164 140 115 88 53282 237 186 158 130 99 60 196 155 133 110 84 51270 227 178 152 125 95 58 183 146 126 103 79 49257 217 171 146 120 91 57 170 136 117 97 74 47

243 206 162 139 114 87 55 156 126 109 90 69 45228 194 154 132 108 83 53 141 115 100 83 64 42213 182 145 124 102 79 50 126 103 90 75 58 39197 169 135 116 96 74 48 109 91 80 67 52 36181 156 125 108 90 69 46 95 79 70 59 46 32

163 142 115 100 83 64 43 84 70 61 52 41 28145 128 104 91 76 59 40 74 62 54 46 36 25130 114 93 82 68 53 37 66 55 49 41 32 22116 102 84 73 61 48 33 59 49 44 37 29 20105 92 75 66 55 43 30 53 45 39 33 26 18

95 84 68 60 50 39 27 48 40 36 30 24 1787 76 62 55 46 36 25 44 37 32 27 21 1579 70 57 50 42 33 23 40 34 30 25 20 1473 64 52 46 38 30 21 37 31 27 23 18 1367 59 48 42 35 28 19 34 28 25 21 17 12

====62 55 45 39 33 26 18 26 23 20 15 1158 51 41 36 30 24 16 ==== ==== 18 14 1054 47 39 34 28 22 15 ==== ==== 950 44 36 31 26 21 14 ====47 41 34 29 25 19 13

44 38 31 27 23 18 12==== ==== 29 26 22 17 12

==== 24 20 16 11==== ==== 15 10

==== ====

11.7 9.74 7.58 6.43 5.24 3.98 2.70 8.81 6.88 5.85 4.77 3.63 2.46

69.3 60.6 49.5 43.0 35.8 27.9 19.3 50.6 41.8 36.4 30.5 23.8 16.6

40.5 35.6 29.2 25.5 21.3 16.6 11.6 20.7 17.3 15.2 12.8 10.0 7.03

1.31 1.30 1.30 1.30 1.30 1.30 1.29 1.56 1.55 1.55 1.54 1.54 1.54

1.86 1.91 1.96 1.99 2.02 2.05 2.07 1.53 1.58 1.61 1.64 1.66 1.69

0.591 0.563 0.536 0.523 0.512 0.499 0.490 0.609 0.576 0.563 0.547 0.534 0.519

0.722 0.684 0.649 0.63 0.615 0.599 0.582 0.851 0.795 0.77 0.745 0.726 0.700

10.3 9.05 7.39 6.42 5.35 4.17 2.88 7.56 6.24 5.44 4.55 3.55 2.48

6.05 5.32 4.36 3.81 3.18 2.48 1.73 3.09 2.58 2.27 1.91 1.49 1.05

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 58: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

58

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

7.88 6.18 5.26 4.30 3.28 2.23 6.88 5.85 4.77 3.63

40.7 34.0 29.9 25.2 19.8 13.8 33.9 29.6 24.7 19.3

10.2 8.70 7.74 6.59 5.24 3.71 25.5 22.3 18.7 14.6

2.00 1.98 1.97 1.96 1.94 1.93 1.15 1.15 1.15 1.15

1.14 1.19 1.21 1.24 1.26 1.29 1.92 1.95 1.98 2.01

0.678 0.636 0.616 0.597 0.580 0.566 0.609 0.593 0.579 0.564

1.16 1.07 1.02 0.979 0.939 0.902 0.675 0.656 0.638 0.622

6.08 5.08 4.47 3.76 2.96 2.06 5.06 4.42 3.69 2.88

1.52 1.30 1.16 0.984 0.782 0.554 3.81 3.33 2.79 2.18

Effe

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6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

1/2 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16

28.43 22.37 19.08 15.62 11.97 8.16 24.93 21.21 17.32 13.25

0.465 0.349 0.291 0.233 0.174* 0.116* 0.349 0.291 0.233 0.174

236 185 158 129 97 55 206 176 143 109222 175 149 122 93 53 200 170 139 106212 168 143 117 90 52 196 166 136 104201 159 136 112 86 50 191 163 133 101189 150 128 106 81 48 186 158 129 99

175 140 120 99 76 46 180 154 126 96160 129 111 92 71 44 174 149 122 93143 117 101 84 65 41 168 143 117 90125 104 90 75 59 39 161 137 113 86106 90 78 66 52 35 153 131 108 83

88 75 66 57 45 31 146 125 103 7974 63 55 48 38 27 138 118 97 7563 54 47 41 32 23 129 111 92 7154 46 41 35 28 20 120 104 86 6647 40 35 30 24 17 111 96 80 62

41 35 31 27 21 15 101 88 73 5737 31 28 24 19 13 91 80 67 5233 28 25 21 17 12 81 71 60 4729 25 22 19 15 11 73 64 54 42

==== ==== 20 17 14 10 66 58 48 38==== ====

12 9 60 52 44 34==== ==== 54 48 40 31

50 44 37 2946 40 34 2642 37 31 24

39 34 29 2236 32 27 2134 29 25 1931 27 23 1829 26 22 17

27 24 20 1626 23 19 15

==== ==== 18 14==== ====

7 x 3 6 x 5

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 59: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

59

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

PROPERTIES

1/2 3/8 5/16 1/4 3/16 1/8 1/2 3/8 5/16 1/4 3/16 1/8

28.43 22.37 19.08 15.62 11.97 8.16 25.03 19.82 16.96 13.91 10.70 7.31

0.465 0.349 0.291 0.233 0.174 0.116* 0.465 0.349 0.291 0.233 0.174 0.116*

236 185 158 129 98 60 209 164 140 115 88 53226 178 151 124 95 58 196 155 132 109 83 51220 173 147 121 92 57 187 148 127 104 80 50212 167 143 117 89 56 177 141 121 100 76 48204 161 137 113 86 54 165 132 114 94 72 46

194 154 132 108 83 53 153 123 106 88 68 44184 146 125 103 79 51 139 113 97 81 63 41174 138 119 98 75 49 124 102 88 74 58 39162 130 112 92 71 47 108 90 79 66 52 36150 121 104 86 66 44 90 77 68 58 46 32

137 111 96 80 62 42 75 64 57 49 39 28123 101 88 73 57 39 63 54 48 41 33 23108 90 79 66 51 36 53 46 41 35 28 2094 79 69 59 46 32 46 40 35 30 24 1782 68 61 51 40 28 40 35 31 26 21 15

72 60 53 45 35 25 35 30 27 23 19 1364 53 47 40 31 22 31 27 24 21 16 1257 48 42 36 28 20 28 24 21 18 15 1051 43 38 32 25 18 ==== 22 19 16 13 946 38 34 29 23 16 ==== ==== 15 12 8

==== ====42 35 31 26 20 14 838 32 28 24 19 13 ====35 29 26 22 17 1232 27 24 20 16 1129 25 22 18 14 10

==== ====20 17 13 9

==== ==== 12 9==== ====

7.88 6.18 5.26 4.30 3.28 2.23 6.95 5.48 4.68 3.84 2.93 2.00

33.9 28.3 24.8 20.9 16.4 11.4 26.8 22.7 20.1 17.0 13.4 9.43

17.7 14.9 13.1 11.1 8.76 6.15 8.65 7.47 6.66 5.70 4.55 3.23

1.38 1.38 1.38 1.37 1.37 1.36 1.76 1.74 1.74 1.73 1.72 1.71

1.50 1.55 1.58 1.61 1.63 1.66 1.12 1.17 1.19 1.22 1.25 1.27

0.697 0.655 0.636 0.617 0.600 0.587 0.778 0.724 0.699 0.678 0.656 0.636

0.890 0.830 0.803 0.775 0.749 0.725 1.21 1.10 1.05 1.01 0.966 0.929

5.06 4.23 3.70 3.12 2.45 1.70 4.00 3.39 3.00 2.54 2.00 1.41

2.64 2.23 1.96 1.66 1.31 0.918 1.29 1.12 0.995 0.851 0.679 0.482

Effe

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

6 x 4 6 x 3

Fy = 50 ksi

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 60: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

70

5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8

200.28 163.08 123.64 183.27 149.47 113.43 166.25 135.86 103.22 149.24 122.25 93.01

0.625* 0.500* 0.375* 0.625 0.500* 0.375* 0.625 0.500* 0.375* 0.625 0.500 0.375*

1610 1170 746 1490 1120 720 1350 1070 691 1210 991 6611600 1160 744 1480 1120 717 1340 1060 689 1200 984 6571600 1160 743 1470 1120 716 1340 1060 687 1200 980 6561590 1160 742 1470 1110 715 1330 1060 685 1190 976 6541590 1160 740 1460 1110 713 1330 1050 684 1190 972 652

1580 1150 739 1460 1110 712 1320 1050 682 1180 967 6501580 1150 737 1450 1110 710 1320 1050 680 1180 963 6481580 1150 736 1450 1100 708 1310 1040 678 1170 958 6461570 1150 734 1440 1100 707 1300 1040 677 1160 953 6441570 1140 733 1440 1100 705 1300 1040 675 1160 948 641

1560 1140 731 1430 1090 703 1290 1030 672 1150 943 6391560 1140 730 1420 1090 701 1280 1030 670 1150 937 6371550 1140 728 1420 1090 699 1280 1020 668 1140 932 6341550 1130 726 1410 1080 697 1270 1020 666 1130 926 6311540 1130 724 1400 1080 695 1260 1010 664 1120 920 629

1530 1130 722 1400 1080 693 1260 1010 661 1120 914 6261530 1120 721 1390 1070 691 1250 1000 659 1110 908 6231520 1120 719 1380 1070 689 1240 999 656 1100 902 6201520 1120 717 1380 1060 687 1230 993 654 1090 895 6171510 1110 715 1370 1060 684 1230 988 651 1080 888 614

1500 1110 713 1360 1060 682 1220 983 648 1080 882 6111490 1100 711 1350 1050 680 1210 977 646 1070 875 6081490 1100 708 1340 1050 677 1200 972 643 1060 868 6041480 1100 706 1340 1040 675 1190 966 640 1050 860 6011470 1090 704 1330 1040 672 1180 960 637 1040 853 597

1460 1090 702 1320 1030 670 1180 954 634 1030 846 5941450 1080 700 1310 1030 667 1170 948 631 1020 838 5901450 1080 697 1300 1020 664 1160 941 628 1010 830 5861440 1080 695 1290 1020 662 1150 935 625 1000 822 5821430 1070 692 1280 1010 659 1140 929 621 992 814 578

1420 1070 690 1270 1010 656 1130 922 618 982 806 5741410 1060 687 1270 1000 653 1120 915 614 972 798 5701400 1060 685 1260 996 650 1110 908 611 961 789 5661390 1050 682 1250 990 647 1100 900 607 950 781 5621380 1050 680 1240 984 644 1090 892 604 940 772 557

1370 1040 677 1230 977 641 1080 884 600 929 764 5531360 1040 674 1220 970 638 1070 875 596 918 755 5481350 1030 671 1210 964 635 1060 867 592 906 746 5431340 1030 669 1200 957 631 1050 858 588 895 736 5391330 1020 666 1190 950 628 1040 849 584 883 727 534

58.9 47.9 36.3 53.9 43.9 33.3 48.9 39.9 30.3 43.9 35.9 27.3

6060 5020 3860 4680 3900 3000 3530 2950 2280 2590 2180 1690

5370 4450 3420 4110 3420 2630 3060 2560 1970 2210 1850 1440

1.06 1.06 1.06 1.07 1.07 1.07 1.07 1.07 1.08 1.08 1.09 1.08

9.55 9.64 9.70 8.73 8.82 8.89 7.91 8.00 8.07 7.10 7.19 7.25

0.126 0.124 0.122 0.138 0.135 0.133 0.152 0.149 0.146 0.169 0.165 0.162

0.132 0.129 0.127 0.144 0.141 0.139 0.160 0.156 0.154 0.179 0.175 0.171

905 750 576 699 582 448 527 441 340 387 326 252

802 665 511 614 511 393 457 382 294 330 276 215

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

26 x 24 24 x 22 22 x 20 20 x 18

Fy = 46 ksi

PROPERTIES

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips SAW

Page 61: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

41.4 33.9 25.8 36.4 33.9 27.9 21.3 31.4 23.9 18.3

2360 1990 1540 1890 1450 1240 971 1090 678 534

1680 1410 1100 864 783 668 524 702 536 422

1.19 1.19 1.18 1.48 1.36 1.36 1.36 1.25 1.12 1.12

6.37 6.46 6.52 4.87 4.81 4.89 4.95 4.73 4.73 4.80

0.175 0.170 0.168 0.193 0.210 0.202 0.197 0.230 0.247 0.240

0.197 0.192 0.188 0.253 0.260 0.251 0.244 0.268 0.268 0.260

352 297 230 282 217 185 145 163 101 79.7

251 211 164 129 117 99.8 78.2 105 80.0 63.0

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

5/8 1/2 3/8 5/8 5/8 1/2 3/8 5/8 1/2 3/8

140.73 115.45 87.91 123.72 115.21 95.03 72.59 106.71 81.42 62.39

0.625 0.500 0.375* 0.625 0.625 0.500 0.375* 0.625 0.500 0.375

1140 936 643 1000 936 770 550 867 660 5051130 928 639 994 925 762 546 857 652 5001130 924 637 988 920 757 543 852 648 4961120 920 635 981 914 752 543 846 644 4931120 915 633 974 907 747 537 840 639 490

1110 911 631 967 900 741 534 833 634 4861110 906 629 960 893 736 531 826 629 4821100 901 626 952 885 730 527 819 623 4781090 895 623 943 877 723 524 812 618 4741090 890 620 934 869 717 520 804 612 469

1080 884 617 925 861 710 516 796 606 4641070 878 614 916 852 702 512 787 599 4601060 872 611 906 843 695 508 778 593 4551060 866 607 896 833 687 503 769 586 4501050 859 604 886 823 680 499 760 579 444

1040 853 600 875 813 671 494 751 571 4391030 846 596 864 803 663 489 741 564 4331020 839 592 853 792 654 484 731 556 4271010 832 588 841 781 646 479 720 548 4211000 824 584 830 770 637 474 709 540 415

995 817 580 817 758 627 468 698 532 409985 809 576 805 746 618 462 687 523 403975 801 572 792 734 608 456 676 514 396966 793 567 779 722 598 450 664 505 389955 785 563 766 709 588 444 652 496 383

945 777 558 752 697 578 438 640 487 376935 769 553 739 683 567 431 627 478 369924 760 548 725 670 557 424 615 468 361913 751 543 710 656 546 417 602 458 354902 742 538 696 643 535 410 589 448 346

891 733 533 681 628 523 403 575 438 339879 724 527 665 614 512 394 561 427 331868 715 522 650 599 500 385 547 417 323856 705 516 634 584 488 376 533 406 315844 696 511 618 569 476 367 519 395 307

832 686 505 602 554 463 358 504 384 298819 676 499 585 538 451 348 489 372 290807 666 493 569 522 438 339 474 361 281794 656 487 551 506 425 329 458 349 272781 646 481 534 489 411 319 442 337 263

20 x 16 20 x 12 18 x 12 16 x 12 14 x 12

Fy = 46 ksi

PROPERTIES

71

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips SAW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 62: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

60

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

4.78 4.10 3.37 2.58 1.77 6.95 5.48 4.68 3.84 2.93

17.1 15.3 13.1 10.5 7.42 21.2 17.9 15.8 13.4 10.6

2.75 2.52 2.21 1.80 1.31 14.8 12.6 11.1 9.46 7.48

2.49 2.46 2.43 2.42 2.38 1.20 1.19 1.19 1.19 1.19

0.759 0.784 0.809 0.835 0.861 1.46 1.52 1.54 1.57 1.60

0.839 0.804 0.772 0.737 0.716 0.820 0.765 0.741 0.716 0.691

1.74 1.63 1.52 1.43 1.35 0.939 0.870 0.843 0.812 0.783

2.55 2.28 1.96 1.57 1.11 3.17 2.67 2.36 2.00 1.58

0.411 0.376 0.330 0.269 0.196 2.21 1.88 1.66 1.41 1.12

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

3/8 5/16 1/4 3/16 1/8 1/2 3/8 5/16 1/4 3/16

17.27 14.83 12.21 9.42 6.46 25.03 19.82 16.96 13.91 10.70

0.349 0.291 0.233 0.174 0.116* 0.465 0.349 0.291 0.233 0.174

143 123 101 77 47 209 164 140 115 88129 111 92 70 44 199 157 135 110 84118 102 85 65 41 193 153 131 107 82106 92 77 60 39 186 148 126 104 8092 81 68 53 36 178 142 122 100 77

76 68 58 46 32 170 136 116 96 7458 53 47 38 27 161 129 111 91 7045 41 36 29 21 151 121 104 86 6735 32 28 23 17 140 114 98 81 6329 26 23 19 14 129 105 91 76 59

24 22 19 15 11 117 97 84 70 5420 18 16 13 9 104 87 76 64 50

==== 15 14 11 8 91 77 67 57 45==== ==== ==== 7 78 67 59 50 40

==== 68 58 51 44 35

60 51 45 38 3053 45 40 34 2747 41 36 30 2443 36 32 27 2238 33 29 25 19

35 30 26 22 1832 27 24 20 1629 25 22 19 1527 23 20 17 14

==== 21 18 16 12==== ====

15 12==== ====

6 x 2 5 x 4

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 63: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

61

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

6.02 4.78 4.10 3.37 2.58 1.77 3.14 2.41 1.65

16.4 14.1 12.6 10.7 8.53 6.03 9.40 7.51 5.34

7.14 6.23 5.59 4.81 3.85 2.75 3.13 2.53 1.82

1.52 1.50 1.50 1.49 1.49 1.48 1.73 1.72 1.71

1.09 1.14 1.17 1.19 1.22 1.25 0.998 1.02 1.05

0.918 0.848 0.813 0.787 0.756 0.734 0.835 0.802 0.772

1.26 1.15 1.10 1.05 1.01 0.965 1.25 1.19 1.13

2.45 2.11 1.88 1.60 1.27 0.900 1.40 1.12 0.797

1.07 0.93 0.835 0.718 0.575 0.411 0.467 0.378 0.272

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

1/2 3/8 5/16 1/4 3/16 1/8 1/4 3/16 1/8

21.63 17.27 14.83 12.21 9.42 6.46 11.36 8.78 6.03

0.465 0.349 0.291 0.233 0.174 0.116* 0.233 0.174 0.116*

181 143 123 101 77 51 94 72 47169 135 116 95 73 49 87 67 45161 129 111 91 70 47 83 64 43152 122 105 87 67 45 77 60 41142 114 99 82 63 43 71 55 38

130 106 92 76 59 41 64 50 35118 97 84 70 55 38 57 45 31104 87 76 64 50 35 49 39 2790 76 67 57 45 31 40 32 2374 64 58 49 39 28 32 26 19

61 53 48 41 33 24 27 21 1652 45 40 34 28 20 23 18 1344 38 34 29 24 17 19 15 1138 33 30 25 20 15 17 13 1033 29 26 22 18 13 14 12 8

29 25 23 19 16 11 13 10 726 22 20 17 14 10 ==== 9 723 20 18 15 12 9 ==== ====

==== 18 16 14 11 8==== ==== ==== 10 7

==== ====

5 x 3 5 x 2 1/2

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 64: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

62

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

Effe

ctiv

e le

ngth

KL

in fe

et

02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

Fy = 50 ksi

5 x 2 4 x 3 4 x 2 1/2

3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8 5/16 1/4 3/16

14.72 12.70 10.51 8.15 5.61 14.72 12.70 10.51 8.15 5.61 11.64 9.66 7.51

0.349 0.291 0.233 0.174 0.116* 0.349 0.291 0.233 0.174 0.116 0.291 0.233 0.174

123 106 87 67 44 123 106 87 67 46 97 80 62110 95 79 61 41 115 99 82 63 44 89 74 57101 87 73 57 39 110 95 79 61 42 84 70 5490 79 66 51 36 104 90 75 58 40 78 65 5177 68 58 46 32 97 84 70 54 38 71 60 47

63 57 49 39 28 89 78 65 51 35 64 54 4248 44 39 32 23 81 71 60 47 32 56 47 3737 34 30 25 18 72 63 54 42 29 46 40 3229 27 24 19 14 63 55 47 38 26 37 32 2624 22 19 16 11 52 47 40 33 23 30 26 21

20 18 16 13 9 43 39 34 27 19 25 22 1816 15 13 11 8 36 32 28 23 16 21 18 15

==== ==== 11 9 7 31 28 24 19 14 18 16 13==== ==== 6 27 24 21 17 12 15 13 11

==== 23 21 18 15 10 13 12 9====

20 18 16 13 9 10 818 16 14 11 8 ==== ====16 14 13 10 7

==== ==== 11 9 6==== ==== 6

====

4.09 3.52 2.91 2.24 1.54 4.09 3.52 2.91 2.24 1.54 3.23 2.67 2.06

10.3 9.34 8.08 6.50 4.65 7.92 7.13 6.15 4.93 3.52 6.13 5.32 4.30

2.27 2.09 1.84 1.51 1.10 5.00 4.52 3.91 3.16 2.27 2.89 2.53 2.06

2.13 2.11 2.10 2.07 2.06 1.26 1.26 1.25 1.25 1.25 1.46 1.45 1.44

0.746 0.771 0.796 0.822 0.848 1.11 1.13 1.16 1.19 1.21 0.946 0.973 0.999

0.993 0.942 0.900 0.862 0.828 1.03 0.987 0.946 0.909 0.875 1.05 1.00 0.958

1.80 1.68 1.58 1.48 1.40 1.23 1.17 1.12 1.06 1.02 1.40 1.32 1.25

1.54 1.39 1.21 0.971 0.694 1.18 1.06 0.918 0.736 0.526 0.915 0.794 0.642

0.339 0.312 0.275 0.225 0.164 0.747 0.675 0.584 0.472 0.339 0.432 0.378 0.308

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.Note: Double Horizontal Line indicates k l/r limit of 200.

Page 65: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

63

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

3.39 2.94 2.44 1.89 1.30 3.39 2.94 2.44 1.89 1.30

5.59 5.12 4.49 3.66 2.65 4.74 4.34 3.79 3.09 2.23

1.79 1.66 1.48 1.22 0.898 2.75 2.53 2.23 1.82 1.33

1.77 1.76 1.74 1.73 1.72 1.31 1.31 1.30 1.30 1.29

0.727 0.752 0.778 0.804 0.830 0.902 0.929 0.956 0.983 1.01

1.21 1.15 1.09 1.03 0.981 1.25 1.19 1.13 1.07 1.02

1.89 1.77 1.65 1.55 1.45 1.54 1.45 1.37 1.3 1.22

0.835 0.765 0.670 0.547 0.396 0.708 0.648 0.566 0.461 0.333

0.267 0.248 0.221 0.182 0.134 0.411 0.378 0.333 0.272 0.199

Effe

ctiv

e le

ngth

KL

in fe

et

02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8

12.17 10.58 8.81 6.87 4.75 12.17 10.58 8.81 6.87 4.75

0.349 0.291 0.233 0.174 0.116 0.349 0.291 0.233 0.174 0.116

102 88 73 57 39 102 88 73 57 3991 79 66 51 35 93 81 68 53 3683 73 61 48 33 88 76 64 50 3473 65 55 43 30 81 71 59 46 3263 56 48 38 27 73 64 54 43 30

51 46 40 32 23 65 57 49 38 2738 35 31 26 19 55 50 42 34 2429 27 24 20 15 45 41 36 29 2123 21 19 16 11 35 32 29 23 1719 17 15 13 9 29 26 23 19 14

15 14 13 10 8 24 22 19 16 1113 12 11 9 6 20 18 16 13 10

==== ==== ==== 7 5 17 16 14 11 8==== ==== 15 13 12 10 7

13 12 10 8 6==== ==== ====

7 5==== ====

4 x 2 3 1/2 x 2 1/2

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Note: Double Horizontal Line indicates k l/r limit of 200.

Page 66: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

64

2.64 2.21 1.71 1.19 2.35 1.97 1.54 1.07 1.74 1.37 0.96

2.91 2.57 2.11 1.54 2.38 2.12 1.76 1.30 1.68 1.42 1.06

2.17 1.93 1.59 1.16 1.23 1.11 0.931 0.692 0.541 0.466 0.355

1.16 1.15 1.15 1.15 1.39 1.38 1.37 1.37 1.76 1.75 1.73

0.907 0.935 0.962 0.990 0.724 0.750 0.777 0.804 0.558 0.584 0.610

1.36 1.29 1.22 1.16 1.48 1.39 1.31 1.23 1.55 1.45 1.36

1.52 1.43 1.34 1.28 1.91 1.77 1.65 1.55 2.41 2.20 2.03

0.435 0.384 0.315 0.230 0.355 0.317 0.263 0.194 0.251 0.212 0.158

0.324 0.288 0.237 0.173 0.184 0.166 0.139 0.103 0.081 0.070 0.053

Effe

ctiv

e le

ngth

KL

in fe

et

02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

5/16 1/4 3/16 1/8 5/16 1/4 3/16 1/8 1/4 3/16 1/8

9.51 7.96 6.23 4.33 8.45 7.11 5.59 3.90 6.26 4.96 3.48

0.291 0.233 0.174 0.116 0.291 0.233 0.174 0.116 0.233 0.174 0.116

79 66 51 36 71 59 46 32 52 41 2973 61 47 33 63 53 42 29 44 35 2568 58 45 31 57 49 38 27 38 31 2263 53 42 29 51 43 35 24 31 25 1957 49 38 27 43 37 30 21 22 19 14

51 43 34 24 35 31 25 18 16 13 1043 38 30 21 26 23 20 15 11 10 835 31 25 18 20 18 15 11 9 8 628 25 20 15 16 14 12 9 7 6 523 20 16 12 13 11 10 7 ==== ==== 4

====19 17 14 10 11 9 8 616 14 11 8 9 8 7 513 12 10 7 ==== ==== ==== 411 10 8 6 ====10 9 7 5

==== ====6 5

==== ====

3 x 2 1/2 3 x 2 3 x 1 1/2Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Note: Double Horizontal Line indicates k l/r limit of 200.

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Page 67: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

1.19 0.84 1.51 1.19 0.84 1.02 0.72 0.84 0.61

1.07 0.817 1.03 0.881 0.668 0.494 0.383 0.349 0.280

0.172 0.138 0.447 0.389 0.299 0.312 0.244 0.112 0.092

2.49 2.43 1.52 1.50 1.49 1.26 1.25 1.77 1.74

0.380 0.405 0.544 0.571 0.597 0.553 0.580 0.364 0.389

1.67 1.54 1.83 1.69 1.57 2.06 1.88 2.41 2.18

3.46 3.04 2.53 2.29 2.11 2.45 2.21 3.75 3.32

0.160 0.122 0.154 0.132 0.100 0.074 0.057 0.052 0.042

0.026 0.021 0.067 0.058 0.045 0.047 0.036 0.017 0.014

Effe

ctiv

e le

ngth

KL

in fe

et

02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

3/16 1/8 1/4 3/16 1/8 3/16 1/8 3/16 1/8

4.32 3.05 5.41 4.32 3.05 3.68 2.63 3.04 2.20

0.174 0.116 0.233 0.174 0.116 0.174 0.116 0.174 0.116

36 25 45 36 25 31 22 25 1826 19 38 30 22 26 18 18 1419 14 33 26 19 22 16 13 1011 9 26 22 16 18 13 7 67 6 19 16 12 13 10 5 4

5 4 13 11 9 9 7 3 3==== ==== 9 8 6 7 5 ==== ====

7 6 5 5 46 5 4 4 3

==== ==== ==== ==== ====

3 x 1 2 1/2 x 1 1/2 2 x 1 1/2 2 x 1

Fy = 50 ksi

PROPERTIES

65

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips ERW

Note: Double Horizontal Line indicates k l/r limit of 200.

Page 68: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

66

HSS / Structural Steel TubingNOTES

Page 69: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8

259.83 210.72 159.37 242.82 197.11 149.16 225.80 183.50 138.95 208.79 169.89 128.74

0.625* 0.500* 0.375* 0.625* 0.500* 0.375* 0.625* 0.500* 0.375* 0.625* 0.500* 0.375*

1840 1310 828 1780 1270 806 1730 1230 783 1660 1190 7591830 1300 826 1780 1270 804 1720 1230 781 1660 1190 7571830 1300 825 1780 1260 803 1720 1230 780 1650 1180 7561830 1300 824 1770 1260 802 1710 1220 779 1650 1180 7551820 1300 823 1770 1260 801 1710 1220 778 1650 1180 753

1820 1290 822 1770 1260 800 1710 1220 777 1640 1180 7521820 1290 821 1760 1260 799 1700 1220 776 1640 1180 7511820 1290 820 1760 1250 798 1700 1210 774 1640 1170 7491810 1290 819 1760 1250 797 1700 1210 773 1630 1170 7481810 1290 818 1750 1250 796 1690 1210 772 1630 1170 747

1810 1290 817 1750 1250 794 1690 1210 770 1630 1170 7451800 1280 816 1750 1250 793 1690 1210 769 1620 1160 7441800 1280 814 1740 1240 792 1680 1200 768 1620 1160 7421800 1280 813 1740 1240 790 1680 1200 766 1610 1160 7401790 1280 812 1740 1240 789 1670 1200 765 1610 1150 739

1790 1270 811 1730 1240 788 1670 1190 763 1600 1150 7371790 1270 810 1730 1230 786 1670 1190 762 1600 1150 7361780 1270 808 1720 1230 785 1660 1190 760 1590 1140 7341780 1270 807 1720 1230 784 1660 1190 759 1590 1140 7321780 1270 806 1720 1230 782 1650 1180 757 1580 1140 730

1770 1260 804 1710 1220 781 1650 1180 755 1580 1130 7281770 1260 803 1710 1220 779 1640 1180 754 1570 1130 7261760 1260 801 1700 1220 778 1640 1170 752 1560 1130 7251760 1250 800 1700 1210 776 1630 1170 750 1560 1120 7231760 1250 799 1690 1210 774 1630 1170 748 1550 1120 721

1750 1250 797 1690 1210 773 1620 1160 747 1540 1120 7191750 1250 796 1680 1210 771 1620 1160 745 1530 1110 7171740 1240 794 1680 1200 770 1610 1160 743 1520 1110 7141740 1240 793 1670 1200 768 1610 1150 741 1520 1110 7121730 1240 791 1670 1200 766 1600 1150 739 1510 1100 710

1730 1240 789 1660 1190 764 1590 1150 737 1500 1100 7081720 1230 788 1660 1190 763 1590 1140 735 1490 1090 7061720 1230 786 1650 1190 761 1580 1140 733 1480 1090 7031710 1230 785 1650 1180 759 1580 1140 731 1470 1090 7011710 1220 783 1640 1180 757 1570 1130 729 1470 1080 699

1700 1220 781 1640 1180 755 1560 1130 727 1460 1080 6961700 1220 779 1630 1170 753 1560 1120 725 1450 1070 6941690 1210 778 1630 1170 751 1550 1120 722 1440 1070 6911690 1210 776 1620 1170 749 1550 1120 720 1430 1060 6891680 1210 774 1610 1160 747 1540 1110 718 1420 1060 686

76.4 61.9 46.8 71.4 57.9 43.8 66.4 53.9 40.8 61.4 49.9 37.8

12300 10100 7750 10100 8320 6370 8140 6730 5150 6460 5350 4110

12.7 12.8 12.9 11.9 12.0 12.1 11.1 11.2 11.2 10.3 10.4 10.4

0.099 0.098 0.097 0.106 0.104 0.103 0.114 0.112 0.111 0.124 0.121 0.120

1840 1510 1160 1510 1240 951 1220 1010 769 965 799 614

Effe

ctiv

e le

ngth

KL

in fe

et

02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

32 x 32 30 x 30 28 x 28 26 x 26

Fy = 46 ksi

67

Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips SAW

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 70: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

68

5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8

191.78 156.28 118.53 174.76 142.67 108.32 157.75 129.06 98.12 140.73 115.45 87.91

0.625 0.500* 0.375* 0.625 0.500* 0.375* 0.625 0.500 0.375* 0.625 0.500 0.375*

1560 1150 734 1420 1100 706 1280 1050 677 1140 936 6451550 1140 731 1410 1100 704 1270 1040 674 1130 929 6411540 1140 730 1410 1090 702 1270 1040 672 1130 925 6401540 1140 729 1400 1090 701 1260 1030 671 1120 921 6381530 1140 727 1400 1090 699 1260 1030 669 1120 917 636

1530 1130 726 1390 1090 698 1250 1020 667 1110 913 6341520 1130 724 1390 1080 696 1250 1020 665 1110 909 6321520 1130 723 1380 1080 694 1240 1020 663 1100 904 6301510 1120 721 1380 1080 693 1240 1010 662 1100 899 6271510 1120 720 1370 1070 691 1230 1010 659 1090 894 625

1500 1120 718 1360 1070 689 1220 1000 657 1090 889 6231500 1120 716 1360 1070 687 1220 996 655 1080 884 6201490 1110 715 1350 1060 685 1210 991 653 1070 879 6171480 1110 713 1340 1060 683 1210 985 651 1070 873 6151480 1110 711 1340 1060 681 1200 980 648 1060 868 612

1470 1100 709 1330 1050 679 1190 974 646 1050 862 6091460 1100 707 1320 1050 677 1180 968 643 1040 856 6061460 1100 705 1320 1040 675 1180 963 641 1040 850 6031450 1090 703 1310 1040 672 1170 957 638 1030 843 6001440 1090 701 1300 1040 670 1160 950 636 1020 837 597

1440 1090 699 1300 1030 668 1150 944 633 1010 830 5941430 1080 697 1290 1030 665 1150 938 630 1000 824 5901420 1080 695 1280 1020 663 1140 931 627 995 817 5871410 1070 693 1270 1020 660 1130 925 624 986 810 5831410 1070 691 1260 1010 658 1120 918 621 978 803 580

1400 1070 688 1260 1010 655 1110 911 618 969 796 5761390 1060 686 1250 1000 652 1100 904 615 959 788 5721380 1060 684 1240 998 650 1100 897 612 950 781 5681370 1050 681 1230 993 647 1090 890 608 941 773 5651360 1050 679 1220 988 644 1080 882 605 931 765 560

1360 1040 676 1210 982 641 1070 875 602 921 758 5561350 1040 674 1200 977 638 1060 867 598 911 750 5521340 1030 671 1190 971 635 1050 859 595 901 741 5481330 1030 668 1180 965 632 1040 852 591 891 733 5431320 1020 666 1180 960 629 1030 844 587 881 725 539

1310 1020 663 1170 953 626 1020 836 583 870 716 5341300 1010 660 1160 946 622 1010 827 579 859 708 5291290 1010 657 1150 938 619 998 819 575 848 699 5241280 1000 654 1140 930 616 988 811 571 837 690 5191270 997 651 1130 922 612 977 802 567 826 681 514

56.4 45.9 34.8 51.4 41.9 31.8 46.4 37.9 28.8 41.4 33.9 25.8

5030 4170 3210 3820 3190 2460 2830 2370 1830 2020 1700 1320

9.44 9.53 9.60 8.62 8.72 8.78 7.81 7.90 7.97 6.99 7.08 7.15

0.135 0.132 0.130 0.148 0.144 0.142 0.164 0.160 0.157 0.184 0.179 0.176

751 623 479 570 476 367 423 354 273 302 254 197

Effe

ctiv

e le

ngth

KL

in fe

et

02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

24 x 24 22 x 22 20 x 20 18 x 18

Fy = 46 ksi

Fy=46HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips SAW

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 71: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

66.4 53.9 40.8 63.9 51.9 39.3 61.4 49.9 37.8

9880 8160 6250 8480 7010 5380 7210 5970 4580

6390 5280 4050 6050 5000 3840 5710 4730 3630

1.24 1.24 1.24 1.18 1.18 1.18 1.12 1.12 1.12

9.81 9.89 9.96 9.73 9.82 9.88 9.65 9.73 9.79

0.108 0.106 0.104 0.113 0.111 .110 0.119 0.117 0.116

0.125 0.123 0.121 0.127 0.125 0.123 0.129 0.127 0.125

1480 1220 933 1270 1050 803 1080 892 684

954 788 605 903 747 573 853 706 542

Effe

ctiv

e le

ngth

KL

in fe

et

02345

6789

10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8

225.80 183.50 138.95 217.30 176.70 133.84 208.79 169.89 128.74

0.625* 0.500* 0.375* 0.625* 0.500* 0.375* 0.625* 0.500* 0.375*

1680 1230 781 1660 1210 770 1630 1190 7591670 1220 779 1650 1200 768 1630 1180 7561670 1220 778 1650 1200 767 1620 1180 7551670 1220 777 1640 1200 765 1620 1180 7541660 1220 775 1640 1200 764 1610 1180 752

1660 1210 774 1630 1190 763 1610 1180 7511650 1210 772 1630 1190 761 1610 1170 7501650 1210 771 1630 1190 760 1600 1170 7481640 1210 770 1620 1190 758 1600 1170 7471640 1200 768 1620 1180 757 1590 1160 745

1640 1200 767 1610 1180 755 1590 1160 7441630 1200 765 1610 1180 754 1580 1160 7421630 1190 763 1600 1180 752 1580 1160 7401620 1190 762 1600 1170 750 1570 1150 7381620 1190 760 1590 1170 749 1570 1150 737

1610 1180 758 1590 1170 747 1560 1150 7351600 1180 756 1580 1160 745 1560 1140 7331600 1180 755 1570 1160 743 1550 1140 7311590 1170 753 1570 1160 741 1540 1140 7291590 1170 751 1560 1150 739 1540 1130 727

1580 1170 749 1560 1150 737 1530 1130 7251580 1160 747 1550 1150 735 1530 1130 7231570 1160 745 1540 1140 733 1520 1120 7211560 1160 743 1540 1140 731 1510 1120 7191560 1150 741 1530 1130 729 1510 1110 717

1550 1150 739 1520 1130 727 1500 1110 7151540 1140 736 1520 1130 725 1490 1110 7121540 1140 734 1510 1120 722 1480 1100 7101530 1140 732 1500 1120 720 1480 1100 7081520 1130 730 1500 1110 718 1470 1090 705

1510 1130 727 1490 1110 715 1460 1090 7031510 1120 725 1480 1100 713 1450 1080 7001500 1120 722 1470 1100 711 1450 1080 6981490 1110 720 1470 1100 708 1440 1070 6951480 1110 717 1460 1090 705 1430 1070 693

1480 1110 715 1450 1090 703 1420 1060 6901470 1100 712 1440 1080 700 1410 1060 6881460 1100 710 1430 1080 698 1410 1050 6851450 1090 707 1430 1070 695 1400 1050 6821440 1090 704 1420 1070 692 1390 1040 679

32 x 24 30 x 24 28 x 24

Fy = 46 ksi

PROPERTIES

69

x x

y

y

Fy=46HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips SAW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 72: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

72

5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8

259.83 210.72 159.37 242.82 197.11 149.16 225.80 183.50 138.95 208.79 169.89 128.74

0.625* 0.500* 0.375* 0.625* 0.500* 0.375* 0.625* 0.500* 0.375* 0.625* 0.500* 0.375*

1950 1390 878 1890 1350 855 1830 1310 831 1770 1260 8061950 1380 876 1890 1340 853 1830 1300 829 1760 1260 8031940 1380 875 1890 1340 852 1820 1300 828 1760 1260 8021940 1380 874 1880 1340 851 1820 1300 826 1760 1260 8011940 1380 873 1880 1340 850 1820 1300 825 1750 1250 799

1940 1370 872 1880 1340 848 1810 1290 824 1750 1250 7981930 1370 871 1870 1330 847 1810 1290 822 1740 1250 7961930 1370 869 1870 1330 846 1810 1290 821 1740 1250 7951930 1370 868 1870 1330 845 1800 1290 820 1740 1240 7931920 1370 867 1860 1330 843 1800 1280 818 1730 1240 792

1920 1360 866 1860 1320 842 1790 1280 817 1730 1240 7901910 1360 865 1850 1320 841 1790 1280 815 1720 1230 7881910 1360 863 1850 1320 839 1790 1280 814 1720 1230 7871910 1360 862 1850 1320 838 1780 1270 812 1710 1230 7851900 1350 861 1840 1310 836 1780 1270 811 1710 1220 783

1900 1350 859 1840 1310 835 1770 1270 809 1700 1220 7811900 1350 858 1830 1310 833 1770 1260 807 1700 1220 7801890 1350 856 1830 1310 832 1760 1260 806 1690 1210 7781890 1340 855 1830 1300 830 1760 1260 804 1690 1210 7761880 1340 854 1820 1300 829 1750 1250 802 1680 1210 774

1880 1340 852 1820 1300 827 1750 1250 800 1670 1200 7721870 1340 850 1810 1290 825 1740 1250 798 1670 1200 7701870 1330 849 1810 1290 824 1740 1240 796 1660 1200 7671870 1330 847 1800 1290 822 1730 1240 794 1660 1190 7651860 1330 846 1800 1280 820 1730 1240 792 1650 1190 763

1860 1320 844 1790 1280 818 1720 1230 790 1640 1180 7611850 1320 843 1790 1280 817 1710 1230 788 1640 1180 7591850 1320 841 1780 1270 815 1710 1230 786 1630 1180 7561840 1310 839 1770 1270 813 1700 1220 784 1620 1170 7541840 1310 837 1770 1270 811 1700 1220 782 1620 1170 751

1830 1310 836 1760 1260 809 1690 1220 780 1610 1160 7491830 1310 834 1760 1260 807 1680 1210 778 1600 1160 7471820 1300 832 1750 1260 805 1680 1210 775 1590 1150 7441820 1300 830 1750 1250 803 1670 1200 773 1590 1150 7411810 1300 828 1740 1250 801 1660 1200 771 1580 1140 739

1800 1290 827 1730 1240 799 1660 1190 769 1570 1140 7361800 1290 825 1730 1240 797 1650 1190 766 1560 1130 7331790 1280 823 1720 1240 795 1640 1190 764 1550 1130 7311790 1280 821 1710 1230 793 1630 1180 761 1540 1120 7281780 1280 819 1710 1230 790 1630 1180 759 1530 1120 725

76.4 61.9 46.8 71.4 57.9 43.8 66.4 53.9 40.8 61.4 49.9 37.8

12300 10100 7750 10100 8320 6370 8140 6730 5150 6460 5350 4110

12.7 12.8 12.9 11.9 12.0 12.1 11.1 11.2 11.2 10.3 10.4 10.4

0.099 0.098 0.097 0.106 0.104 0.103 0.114 0.112 0.111 0.124 0.121 0.120

1840 1510 1160 1510 1240 951 1220 1010 769 965 799 614

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1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

32 x 32 30 x 30 28 x 28 26 x 26

Fy = 50 ksi

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips SAW

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 73: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8

191.78 156.28 118.53 174.76 142.67 108.32 157.75 129.06 98.12 140.73 115.45 87.91

0.625 0.500* 0.375* 0.625 0.500* 0.375* 0.625 0.500* 0.375* 0.625 0.500 0.375*

1690 1220 779 1540 1170 750 1390 1120 719 1240 1020 6851680 1210 776 1530 1160 747 1380 1110 716 1230 1010 6811680 1210 775 1530 1160 745 1380 1110 714 1230 1010 6801670 1210 773 1520 1160 744 1370 1110 712 1220 1000 6781670 1210 772 1520 1160 742 1370 1100 710 1220 996 675

1660 1200 770 1510 1150 740 1360 1100 708 1210 991 6731660 1200 769 1500 1150 739 1350 1090 706 1200 986 6711650 1200 767 1500 1150 737 1350 1090 704 1200 981 6691640 1190 765 1490 1140 735 1340 1090 702 1190 976 6661640 1190 763 1490 1140 733 1330 1080 700 1180 970 663

1630 1190 762 1480 1140 731 1330 1080 698 1180 964 6611620 1190 760 1470 1130 729 1320 1070 695 1170 958 6581620 1180 758 1460 1130 727 1310 1070 693 1160 952 6551610 1180 756 1460 1120 724 1310 1070 690 1150 946 6521600 1170 754 1450 1120 722 1300 1060 688 1150 939 649

1590 1170 752 1440 1120 720 1290 1050 685 1140 932 6461590 1170 750 1430 1110 718 1280 1050 682 1130 925 6431580 1160 748 1430 1110 715 1270 1040 379 1120 918 6391570 1160 745 1420 1100 713 1260 1030 676 1110 911 6361560 1150 743 1410 1100 710 1260 1030 673 1100 904 632

1550 1150 741 1400 1090 707 1250 1020 670 1090 896 6291550 1150 739 1390 1090 705 1240 1010 667 1080 888 6251540 1140 736 1380 1080 702 1230 1010 664 1070 881 6211530 1140 734 1370 1080 699 1220 997 661 1060 872 6171520 1130 731 1360 1070 696 1210 990 657 1050 864 613

1510 1130 729 1350 1070 693 1200 982 654 1040 856 6091500 1120 726 1340 1060 690 1190 974 650 1030 847 6051490 1120 723 1340 1060 687 1180 965 647 1020 839 6011480 1110 721 1330 1050 384 1170 957 643 1010 830 5961470 1110 718 1310 1050 681 1160 948 639 998 821 592

1460 1100 715 1300 1040 678 1150 940 636 987 812 5871450 1100 712 1290 1030 674 1140 931 632 976 803 5821440 1090 710 1280 1030 671 1120 922 628 964 793 5771430 1090 707 1270 1020 668 1110 913 624 952 784 5721420 1080 704 1260 1010 664 1100 904 619 940 774 567

1410 1080 701 1250 1010 661 1090 895 615 928 764 5621400 1070 697 1240 1000 657 1080 885 611 915 754 5571390 1060 694 1230 994 653 1070 876 606 903 744 5511380 1060 691 1220 987 649 1050 866 602 890 734 5461370 1050 688 1200 980 646 1040 856 597 877 724 540

56.4 45.9 34.8 51.4 41.9 31.8 46.4 37.9 28.8 41.4 33.9 25.8

5030 4170 3210 3820 3190 2460 2830 2370 1830 2020 1700 1320

9.44 9.53 9.60 8.62 8.72 8.78 7.81 7.90 7.97 6.99 7.08 7.15

0.135 0.132 0.130 0.148 0.144 0.142 0.164 0.160 0.157 0.184 0.179 0.176

751 623 479 570 476 367 423 354 273 302 254 197

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1617181920

2122232425

2627282930

3132333435

3637383940

PROPERTIES

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

24 x 24 22 x 22 20 x 20 18 x 18

Fy = 50 ksi

73

Fy=50HSS / SquareStructural Steel TubingAllowable Concentric Loads in Kips SAW

*Slender element section. Width-Thickness and Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 74: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

74

66.4 53.9 40.8 63.9 51.9 39.3 61.4 49.9 37.8

9880 8160 6250 8480 7010 5380 7210 5970 4580

6390 5280 4050 6050 5000 3840 5710 4730 3630

1.24 1.24 1.24 1.18 1.18 1.18 1.12 1.12 1.12

9.81 9.89 9.96 9.73 9.82 9.88 9.65 9.73 9.79

0.108 0.106 0.104 0.113 0.111 0.110 0.119 0.117 0.116

0.125 0.123 0.121 0.127 0.125 0.123 0.129 0.127 0.125

1480 1220 933 1270 1050 803 1080 892 684

954 788 605 903 747 573 853 706 542

PROPERTIES

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10

1112131415

1617181920

2122232425

2627282930

3132333435

3637383940

5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8

225.80 183.50 138.95 217.30 176.70 133.84 208.79 169.89 128.74

0.625* 0.500* 0.375* 0.625* 0.500* 0.375* 0.625* 0.500* 0.375*

1800 1300 829 1780 1280 817 1750 1260 8051790 1300 826 1770 1280 825 1740 1260 8021790 1300 825 1770 1280 813 1740 1260 8011780 1290 824 1760 1270 811 1740 1250 8001780 1290 822 1760 1270 810 1730 1250 798

1780 1290 821 1750 1270 809 1730 1250 7971770 1290 819 1750 1270 807 1720 1250 7951770 1280 818 1740 1260 806 1720 1240 7941760 1280 816 1740 1260 804 1710 1240 7921760 1280 814 1730 1260 803 1710 1240 790

1750 1270 813 1730 1250 801 1700 1230 7881750 1270 811 1720 1250 799 1700 1230 7871740 1270 809 1720 1250 797 1690 1230 7851730 1260 807 1710 1240 795 1680 1220 7831730 1260 805 1700 1240 793 1680 1220 781

1720 1260 804 1700 1240 792 1670 1220 7791720 1250 802 1690 1230 790 1660 1210 7771710 1250 800 1680 1230 787 1660 1210 7751700 1250 797 1680 1230 785 1650 1200 7731700 1240 795 1670 1220 783 1640 1200 771

1690 1240 793 1660 1220 781 1640 1200 7681680 1230 792 1660 1210 779 1630 1190 7661680 1230 789 1650 1210 777 1620 1190 7641670 1230 787 1640 1210 774 1620 1180 7611660 1220 784 1640 1200 772 1610 1180 759

1650 1220 782 1630 1200 769 1600 1180 7571650 1210 779 1620 1190 767 1590 1170 7541640 1210 777 1610 1190 765 1580 1170 7521630 1200 774 1600 1180 762 1580 1160 7491620 1200 772 1600 1180 759 1570 1160 746

1610 1190 769 1590 1170 757 1560 1150 7441610 1190 767 1580 1170 754 1550 1150 7411600 1180 764 1570 1160 751 1540 1140 7381590 1180 761 1560 1160 749 1530 1140 7351580 1170 758 1550 1150 746 1520 1130 732

1570 1170 756 1540 1150 743 1510 1130 7291560 1160 753 1530 1140 740 1500 1120 7261550 1160 750 1530 1140 737 1500 1110 7231540 1150 747 1520 1130 734 1490 1110 7201540 1150 744 1510 1130 731 1480 1100 717

32 x 24 30 x 24 28 x 24

Fy = 50 ksi

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips SAW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 75: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

PROPERTIES

58.9 47.9 36.3 53.9 43.9 33.3 48.9 39.9 30.3 43.9 35.9 27.3

6060 5020 3860 4680 3900 3000 3530 2950 2280 2590 2180 1690

5370 4450 3420 4110 3420 2630 3060 2560 1970 2210 1850 1440

1.06 1.06 1.06 1.07 1.07 1.07 1.07 1.07 1.08 1.08 1.09 1.08

9.55 9.64 9.70 8.73 8.82 8.89 7.91 8.00 8.07 7.10 7.19 7.25

0.126 0.124 0.122 0.138 0.135 0.133 0.152 0.149 0.146 0.169 0.165 0.162

0.132 0.129 0.127 0.144 0.141 0.139 0.160 0.156 0.154 0.179 0.175 0.171

905 750 576 699 582 448 527 441 340 387 326 252

802 665 511 614 511 393 457 382 294 330 276 215

5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8 5/8 1/2 3/8

200.28 163.08 123.64 183.27 149.47 113.43 166.25 135.86 103.22 149.24 122.25 93.01

0.625* 0.500* 0.375* 0.625 0.500* 0.375* 0.625 0.500* 0.375* 0.625 0.500* 0.375*

1730 1240 792 1620 1190 764 1470 1140 734 1320 1070 7021720 1240 790 1610 1190 761 1460 1140 731 1310 1060 6981710 1230 788 1600 1190 760 1450 1130 729 1300 1060 6961710 1230 787 1600 1180 758 1450 1130 728 1300 1050 6951700 1230 785 1590 1180 757 1440 1130 726 1290 1050 692

1700 1230 784 1580 1180 755 1430 1130 724 1280 1040 6901690 1220 782 1580 1170 753 1430 1120 722 1280 1040 6881690 1220 781 1570 1170 751 1420 1120 720 1270 1030 6831680 1220 779 1570 1170 750 1410 1110 718 1260 1030 6831680 1210 777 1560 1160 748 1410 1110 716 1260 1020 681

1670 1210 775 1550 1160 746 1400 1100 713 1250 1020 6781670 1210 774 1540 1160 744 1390 1100 711 1240 1010 6751660 1200 772 1540 1150 742 1390 1090 709 1230 1010 6731660 1200 770 1530 1150 739 1380 1090 706 1220 1000 6701650 1200 768 1520 1150 737 1370 1080 704 1220 996 667

1640 1190 766 1510 1140 735 1360 1080 701 1210 989 6641640 1190 764 1510 1140 732 1350 1070 698 1200 982 6601630 1190 762 1500 1130 730 1340 1070 696 1190 975 6571620 1180 759 1490 1130 728 1330 1060 693 1180 967 6541620 1180 757 1480 1120 725 1330 1060 690 1170 959 650

1610 1170 755 1470 1120 723 1320 1050 687 1160 952 6471600 1170 753 1460 1110 720 1310 1040 684 1150 944 6431590 1170 750 1450 1110 717 1300 1040 681 1140 935 6401590 1160 748 1440 1100 715 1290 1030 677 1130 927 6361580 1160 746 1430 1100 712 1280 1020 674 1120 919 632

1570 1150 743 1420 1090 709 1270 1020 671 1110 910 6281560 1150 740 1410 1090 706 1260 1010 667 1100 901 6241550 1140 738 1400 1080 703 1250 1000 664 1090 892 6201550 1140 735 1390 1080 700 1240 996 660 1080 883 6151540 1130 733 1380 1070 697 1220 989 657 1060 874 611

1530 1130 730 1370 1070 694 1210 981 653 1050 864 6061520 1120 727 1360 1060 690 1200 974 649 1040 855 6021510 1120 724 1350 1050 687 1190 966 645 1030 845 5971500 1110 721 1340 1050 684 1180 958 641 1020 835 5921490 1110 718 1330 1040 680 1170 950 637 1000 825 587

1480 1100 715 1320 1030 677 1150 941 633 991 815 5821470 1100 712 1310 1030 673 1140 933 629 978 805 5771450 1090 709 1290 1020 370 1130 924 624 965 794 5721440 1080 706 1280 1010 666 1120 916 620 952 784 5661430 1080 703 1270 1010 662 1110 906 616 938 773 561

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1112131415

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3637383940

26 x 24 24 x 22 22 x 20 20 x 18

Fy = 50 ksi

75

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips SAW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 76: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

Ix, In. 4

Iy, In. 4

Ratio rx / ry

ry, In.Bx, Bending Factor

By, Bending Factor

ax, ÷ 10 6

ay, ÷ 10 6

Nominal Size

Wall Thickness

Weight Per Foot

Design Wall Thickness

76

41.4 33.9 25.8 36.4 33.9 27.9 21.3 31.4 23.9 18.3

2360 1990 1540 1890 1450 1240 971 1090 678 534

1680 1410 1100 864 783 668 524 702 536 422

1.19 1.19 1.18 1.48 1.36 1.36 1.36 1.25 1.12 1.12

6.37 6.46 6.52 4.87 4.81 4.89 4.95 4.73 4.73 4.80

0.175 0.170 0.168 0.193 0.210 0.202 0.197 0.230 0.247 0.240

0.197 0.192 0.188 0.253 0.260 0.251 0.244 0.268 0.268 0.260

352 297 230 282 217 185 145 163 101 79.7

251 211 164 129 117 99.8 78.2 105 80.0 63.0

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5/8 1/2 3/8 5/8 5/8 1/2 3/8 5/8 1/2 3/8

140.73 115.45 87.91 123.72 115.21 95.03 72.59 106.71 81.42 62.39

0.625 0.500* 0.375* 0.625 0.625 0.500 0.375* 0.625 0.500 0.375

1240 1010 683 1090 1020 837 589 942 717 5491230 999 679 1080 1010 828 584 931 709 5431230 995 677 1070 999 822 581 925 704 5391220 991 675 1070 992 817 578 918 699 5351210 986 673 1060 984 811 575 911 694 531

1210 982 670 1050 977 804 571 904 688 5271200 977 668 1040 968 798 568 896 682 5231190 972 665 1030 960 791 564 888 676 5181180 967 662 1020 950 783 560 879 669 5131180 962 659 1010 941 776 556 870 662 508

1170 956 656 1000 931 768 551 861 655 5021160 951 653 990 921 759 546 851 648 4971150 944 650 979 910 751 542 841 640 4911140 937 647 967 899 742 537 830 632 4851130 929 643 956 888 733 532 820 624 479

1120 922 639 943 876 724 526 809 615 4731110 914 636 931 864 714 521 797 607 4661100 906 632 918 852 704 515 785 598 4601090 897 628 904 839 694 509 773 589 4531080 889 623 890 826 683 503 761 579 446

1070 880 619 876 813 673 497 748 570 4381060 872 614 862 799 662 490 735 560 4311050 863 609 847 785 651 484 722 550 4231040 853 604 832 771 639 477 709 539 4161030 844 599 817 756 627 470 695 529 408

1010 834 593 801 741 615 462 681 518 4001000 825 588 785 726 603 455 666 507 392990 815 582 769 711 591 447 651 496 383978 805 577 752 695 578 439 636 484 375965 794 571 735 679 565 431 621 473 366

952 784 565 718 662 552 423 605 461 357939 773 559 700 646 539 414 590 449 348925 763 553 682 629 525 405 573 436 339911 752 546 664 611 511 395 557 424 329898 740 540 646 594 497 384 540 411 320

883 729 533 627 576 482 373 523 398 310869 718 527 607 557 468 362 505 385 300855 706 520 588 539 453 351 488 371 290840 694 513 568 520 438 340 469 357 280825 682 505 547 500 422 328 451 343 269

20 x 16 20 x 12 18 x 12 16 x 12 14 x 12

Fy = 50 ksi

PROPERTIES

x x

y

y

Fy=50HSS / RectangularStructural Steel TubingAllowable Concentric Loads in Kips SAW

*Slender element section. Width-Thickness and/or Depth-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 253 / Fy.

Page 77: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

77

HSS / Structural Steel TubingNOTES

Page 78: HOLLOW STRUCTURAL SECTIONS - · PDF file4 Tables of allowable axial compressive loads, in kips, are presented for square, rectangular and round hollow structural sections ( HSS) manufac

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

78

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

28.5 21.5 25.6 19.4 22.7 19.9 17.2 14.4 19.8 15.0 12.5

1360 1040 985 754 685 606 526 443 453 349 295

6.91 6.95 6.20 6.24 5.49 5.51 5.53 5.55 4.79 4.83 4.85

0.210 0.207 0.234 0.232 0.265 0.263 0.262 0.260 0.306 0.301 0.297

203 155 147 113 102 90.5 78.5 66.2 67.6 52.1 44.1

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2627282930

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3637383940

PROPERTIES

0.500 0.375 0.500 0.375 0.500 0.438 0.375 0.312 0.500 0.375 0.312

104.13 78.60 93.45 70.59 82.77 72.80 62.58 52.28 72.09 54.57 45.61

0.456 0.349 0.465 0.349 0.465 0.407 0.349 0.291 0.465 0.349 0.291

718 542 645 489 572 501 433 363 499 378 315713 538 640 485 567 497 430 360 494 374 312710 536 637 483 564 494 427 358 491 372 310707 534 634 481 561 492 425 356 488 370 308704 531 631 478 558 489 423 354 484 367 306

701 529 628 476 554 486 420 352 481 365 304698 527 625 473 551 483 418 350 477 362 302695 524 621 471 547 480 415 347 473 359 299691 521 617 468 544 477 412 345 470 356 297687 519 614 465 540 473 409 343 465 353 294

684 516 610 462 535 470 406 340 461 350 291680 513 606 459 531 466 403 337 457 346 289676 510 601 456 527 462 399 335 452 343 286672 507 597 453 522 458 396 332 447 339 283667 504 593 449 518 454 393 329 442 335 280

663 500 588 446 513 450 389 326 437 332 277659 497 583 443 508 446 385 323 432 328 273654 494 579 439 503 441 382 320 427 324 270649 490 574 435 498 437 378 316 421 320 267645 487 569 432 492 432 374 313 415 315 263

640 483 564 428 487 427 370 310 410 311 260635 479 558 424 481 422 365 306 404 307 256630 475 553 420 476 417 361 303 398 302 252624 472 548 416 470 412 357 299 391 297 248619 468 542 411 464 407 352 295 385 293 244

614 464 536 407 458 402 348 292 379 288 240608 460 531 403 452 397 343 288 372 283 236603 455 525 398 446 391 339 284 365 278 232597 451 519 394 439 386 334 280 359 273 228591 447 513 389 433 380 329 276 352 268 224

585 442 507 385 426 374 324 272 345 262 219579 438 500 380 420 369 319 268 337 257 215573 433 494 375 413 363 314 263 330 252 210567 429 487 370 406 357 309 259 323 246 206561 424 481 365 399 350 304 255 315 240 201

555 420 474 360 392 344 298 250 307 235 196548 415 467 355 384 338 293 246 299 229 191542 410 460 350 377 331 287 241 291 223 186535 405 453 345 370 325 282 236 283 217 181529 400 446 340 362 318 276 232 275 210 176

20.000 18.000 16.000 14.000

Fy = 42 ksi

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

79

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

17.9 13.6 9.16 21.8 17.6 13.3 11.2 8.98 6.74

339 262 180 387 319 246 208 169 128

4.35 4.39 4.43 4.22 4.26 4.30 4.32 4.34 4.36

0.337 0.331 0.324 0.352 0.345 0.338 0.337 0.332 0.329

50.6 39.1 26.9 57.8 47.6 36.7 31.1 25.2 19.1

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0.500 0.375 0.250 0.625 0.500 0.375 0.312 0.250 0.188

65.42 49.56 33.38 79.27 64.08 48.56 40.61 32.71 24.72

0.465 0.349 0.233 0.581 0.465 0.349 0.291 0.233 0.174

451 343 231 549 444 335 282 226 170446 339 228 543 438 331 279 224 168443 337 227 539 435 329 277 222 167440 334 225 535 432 327 275 221 166436 332 223 531 429 324 273 219 164

433 329 222 526 425 321 271 217 163429 326 220 522 421 319 268 215 162425 323 218 517 417 316 266 213 160421 320 216 511 413 313 263 211 159417 317 214 506 409 309 261 209 157

412 314 211 500 404 306 258 207 155408 310 209 494 400 302 255 204 154403 307 207 488 395 299 252 202 152398 303 204 482 390 295 249 200 150393 299 202 475 385 291 245 197 148

387 295 199 469 379 287 242 194 146382 291 196 462 374 283 239 192 144376 287 194 455 368 279 235 189 142371 282 191 447 362 274 231 186 140365 278 188 440 356 270 228 183 137

359 273 185 432 350 265 224 180 135353 269 182 424 344 261 220 177 133346 264 179 416 337 256 216 174 131340 259 175 408 331 251 212 170 128333 254 172 400 324 246 208 167 126

326 249 169 391 317 241 204 164 123320 244 165 382 310 236 199 160 121313 239 162 373 303 231 195 157 118305 234 158 364 296 225 190 153 115298 228 155 355 289 220 186 149 112

291 222 151 345 281 214 181 146 110283 217 147 336 273 208 176 142 107275 211 143 326 265 202 171 138 104268 205 139 316 257 196 166 134 101260 199 135 305 249 190 161 130 98

251 193 131 295 241 184 156 126 95243 187 127 284 232 178 151 122 92235 180 123 273 224 171 145 117 89226 174 119 262 215 165 140 113 85217 167 114 251 206 158 134 109 82

12.750 12.500

Fy = 42 ksi

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

80

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

0.625 0.500 0.375 0.312 0.250 0.188 0.625 0.500 0.375 0.312 0.250 0.188

78.02 63.08 47.81 39.99 32.21 24.35 77.60 62.75 47.56 39.78 32.04 24.22

0.581 0.465 0.349 0.291 0.233 0.174 0.581 0.465 0.349 0.291 0.233 0.174

539 436 330 277 223 167 537 433 328 275 222 166533 431 326 274 220 165 530 428 324 271 219 164529 428 324 272 219 164 526 425 321 270 218 163525 425 322 270 217 163 522 422 319 268 216 162521 421 319 268 215 162 518 419 317 265 214 161

516 418 316 266 214 160 514 415 314 263 213 159511 414 313 263 212 159 509 411 311 261 211 158506 410 310 261 210 158 504 407 308 258 209 157501 406 307 258 208 156 499 403 305 256 207 155496 401 304 255 205 154 493 399 302 253 204 153

490 397 301 253 203 153 487 394 298 250 202 152484 392 297 250 201 151 481 389 295 247 200 150478 387 293 247 198 149 475 384 291 244 197 148472 382 290 243 196 147 469 379 287 241 195 146465 377 286 240 193 145 462 374 283 238 192 144

458 371 282 237 191 143 456 369 279 234 189 142451 366 278 233 188 141 449 363 275 231 187 140444 360 273 230 185 139 441 357 271 227 184 138437 354 269 226 182 137 434 352 267 224 181 136429 348 264 222 179 135 426 346 262 220 178 134

421 342 260 219 176 132 419 339 257 216 175 131414 336 255 215 173 130 411 333 253 212 172 129405 329 250 211 170 128 403 327 248 208 169 127397 323 245 207 166 125 394 320 243 204 165 124389 316 240 202 163 123 386 313 238 200 162 122

380 309 235 198 160 120 377 306 233 196 158 119371 302 230 194 156 118 368 299 228 191 155 117362 295 225 189 153 115 359 292 222 187 151 114353 287 219 185 149 112 350 285 217 182 148 111344 280 214 180 145 109 341 277 211 178 144 108

334 272 208 175 141 107 331 270 205 173 140 106324 265 202 170 138 104 321 262 200 168 136 103314 257 196 166 134 101 311 254 194 163 132 100304 248 190 160 130 98 301 246 188 158 128 97294 240 184 155 126 95 291 237 182 153 124 94

283 232 178 150 121 92 280 229 175 148 120 91272 223 171 145 117 89 269 220 169 143 116 87261 215 165 139 113 85 258 212 162 137 112 84250 206 158 134 108 82 247 203 156 132 107 81239 197 151 128 104 79 235 194 149 126 103 78

21.4 17.3 13.1 11.0 8.84 6.64 21.3 17.2 13.0 10.9 8.80 6.60

369 304 235 199 161 122 363 299 231 196 159 120

4.15 4.19 4.23 4.25 4.27 4.29 4.13 4.17 4.21 4.23 4.25 4.27

0.357 0.350 0.343 0.340 0.338 0.335 0.359 0.352 0.345 0.341 0.339 0.337

55.1 45.4 35.1 29.7 24.0 18.2 54.2 44.7 34.5 29.3 23.7 17.9

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12.313 12.250

Fy = 42 ksi

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

19.5 15.8 12.0 10.0 8.06 6.05 15.0 11.1 7.70

278 229 178 151 122 92.9 199 151 106

3.78 3.82 3.86 3.88 3.90 3.92 3.64 3.68 3.72

0.395 0.388 0.379 0.373 0.373 0.366 0.405 0.395 0.390

41.5 34.2 26.6 22.5 18.2 13.9 29.7 22.5 15.8

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0.625 0.500 0.375 0.312 0.250 0.188 0.500 0.365 0.250

70.92 57.41 43.56 36.45 29.37 22.21 54.74 40.48 28.04

0.581 0.465 0.349 0.291 0.233 0.174 0.465 0.340 0.233

491 398 302 252 203 152 378 280 194485 393 298 249 200 150 373 276 191481 390 296 247 199 149 370 274 190477 387 294 245 197 148 366 271 188472 383 291 243 196 147 363 269 186

468 379 288 240 194 145 359 266 185463 375 285 238 192 144 355 263 183458 371 282 235 190 142 351 260 180452 367 279 233 188 141 346 257 178447 362 276 230 185 139 342 253 176

441 358 272 227 183 137 337 250 174434 353 268 224 181 136 332 246 171428 348 265 221 178 134 327 242 168421 342 261 217 175 132 321 238 166415 337 256 214 173 130 316 234 163

408 331 252 210 170 128 310 230 160400 325 248 207 167 126 304 226 157393 319 243 203 164 123 298 221 154385 313 239 199 161 121 292 217 151377 307 234 196 158 119 285 212 148

369 300 229 192 155 116 279 207 145361 294 224 187 151 114 272 202 141352 287 219 183 148 111 265 197 138343 280 214 179 145 109 258 192 134335 273 209 175 141 106 251 187 131

325 266 203 170 138 104 243 182 127316 258 198 165 134 101 236 176 123307 251 192 161 130 98 228 170 119297 243 186 156 126 95 220 165 115287 235 180 151 122 92 212 159 111

277 227 174 146 118 89 203 153 107266 219 168 141 114 86 195 146 103256 210 162 136 110 83 186 140 99245 202 155 130 106 80 177 134 94234 193 149 125 102 77 168 127 90

223 184 142 120 97 74 159 120 85211 175 135 114 93 70 151 114 81200 166 128 108 88 67 143 108 77190 157 122 103 84 63 136 102 73181 149 116 98 79 60 129 97 69

11.250 10.750

Fy = 42 ksi

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

82

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

17.2 13.9 10.6 8.88 7.15 5.37 13.4 10.2 8.53 6.87 5.17

191 159 123 105 85.3 64.8 141 110 93.0 75.9 57.7

3.34 3.38 3.41 3.43 3.45 3.47 3.24 3.28 3.30 3.32 3.34

0.450 0.437 0.431 0.423 0.419 0.414 0.457 0.446 0.441 0.436 0.431

28.5 23.7 18.4 15.7 12.7 9.68 21.1 16.4 13.9 11.3 8.62

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0.625 0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.312 0.250 0.188

62.58 50.73 38.55 32.28 26.03 19.70 48.73 37.05 31.03 25.03 18.95

0.581 0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174

433 350 267 224 180 135 338 257 215 173 130427 345 263 220 177 133 332 253 212 170 128423 342 261 218 176 132 329 251 210 169 127419 338 258 216 174 131 326 248 208 167 126414 335 255 214 172 130 322 245 205 165 124

409 331 253 212 171 128 318 242 203 163 123404 327 250 209 168 127 314 239 200 161 121399 323 246 206 166 125 310 236 197 159 120393 318 243 204 164 123 305 232 195 157 118387 313 239 201 162 122 300 229 192 154 116

381 308 236 198 159 120 295 225 188 152 114374 303 232 194 157 118 290 221 185 149 112367 298 228 191 154 116 284 217 182 147 110360 292 223 187 151 114 278 213 178 144 108353 286 219 184 148 112 272 208 174 141 106

346 281 215 180 145 109 266 204 171 138 104338 274 210 176 142 107 260 199 167 135 102330 268 205 172 139 105 254 194 163 131 99322 262 200 168 136 102 247 189 159 128 97313 255 195 164 133 100 240 184 154 125 94

305 248 190 160 129 97 233 179 150 121 92296 241 185 155 126 95 226 173 146 118 89287 234 179 151 122 92 218 168 141 114 86277 226 174 146 118 89 211 162 136 110 83268 219 168 142 115 86 203 156 131 106 81

258 211 162 137 111 84 195 150 126 102 78248 203 156 132 107 81 187 144 121 98 75238 195 150 127 103 78 178 138 116 94 71227 187 144 121 99 75 170 131 111 90 68217 178 138 116 94 71 161 125 105 86 65

205 169 131 111 90 68 152 118 100 81 62194 160 124 105 86 65 142 111 94 77 58183 151 117 99 81 61 134 104 88 72 55172 142 111 94 76 58 126 98 83 68 52162 134 104 88 72 55 119 93 79 64 49

154 127 99 84 68 52 113 88 74 61 46145 120 93 79 64 49 107 83 70 57 44138 114 89 75 61 46 101 79 67 54 41131 108 84 71 58 44 96 75 63 52 39124 103 80 68 55 42 91 71 60 49 37

10.000 9.625

Fy = 42 ksi

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

83

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

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Fy = 42 ksi

8.750 8.625 7.625

0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.322 0.250 0.188 0.375 0.328 0.125

44.06 33.54 28.12 22.70 17.19 43.39 33.04 28.55 22.36 16.94 29.04 25.56 10.01

0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.300 0.233 0.174 0.349 0.305 0.166

305 232 195 157 118 300 229 198 155 116 201 177 69299 228 191 154 116 294 224 194 152 114 197 173 68296 226 189 153 115 291 222 192 150 113 194 171 67293 223 187 151 114 288 219 190 149 112 192 168 66289 220 185 149 112 284 217 188 147 110 189 166 65

285 217 182 147 111 280 214 185 145 109 186 163 64281 214 180 145 109 275 210 182 143 107 182 160 63276 210 177 143 107 271 207 179 140 106 179 157 62271 207 174 140 106 266 203 176 138 104 175 154 60266 203 171 138 104 261 199 173 135 102 171 150 59

261 199 167 135 102 256 195 169 133 100 166 146 58255 195 164 132 100 250 191 166 130 98 162 143 56249 191 160 129 98 244 187 162 127 96 157 138 55243 186 157 126 95 238 182 158 124 94 153 134 53237 182 153 123 93 232 178 154 121 91 148 130 51

231 177 149 120 91 226 173 150 118 89 143 126 50224 172 145 117 88 219 168 146 115 86 137 121 48217 167 140 114 86 212 163 142 111 84 132 116 46210 161 136 110 83 205 158 137 108 81 126 111 44203 156 132 107 81 198 152 132 104 79 120 106 43

196 151 127 103 78 190 147 128 100 76 114 101 41188 145 122 99 75 183 141 123 97 73 108 95 39180 139 117 95 72 175 135 118 93 70 102 90 36172 133 112 91 69 166 129 112 89 67 95 84 34164 127 107 87 66 158 123 107 84 64 88 78 32

155 120 102 83 63 149 116 102 80 61 81 72 30146 114 97 79 60 141 110 96 76 58 76 67 28137 107 91 74 56 131 103 90 71 54 70 62 26128 100 85 70 53 123 96 84 67 51 65 58 24120 94 80 65 50 115 90 79 62 48 61 54 22

112 88 75 61 46 107 84 74 58 45 57 51 21105 82 70 57 44 101 79 69 55 42 54 48 2099 77 66 54 41 95 74 65 52 39 51 45 1893 73 62 51 39 89 70 61 49 37 48 42 1788 69 59 48 36 84 66 58 46 35 45 40 16

83 65 55 45 34 80 62 55 43 33 43 38 1679 62 52 43 33 75 59 52 41 31 40 36 1575 58 50 41 31 71 56 49 39 30 38 34 1471 55 47 38 29 68 53 47 37 28 36 32 1367 53 45 37 28 64 50 44 35 27 34 30 13

12.1 9.21 7.73 6.23 4.69 11.9 9.07 7.85 6.14 4.62 7.98 7.01 2.74

104.0 81.4 69.3 56.6 43.1 99.5 77.8 68.1 54.1 41.3 52.9 47.1 19.3

2.93 2.97 2.99 3.01 3.03 2.89 2.93 2.95 2.97 2.99 2.58 2.59 2.66

0.509 0.495 0.488 0.482 0.476 0.516 0.503 0.497 0.489 0.482 0.575 0.567 0.541

15.5 12.2 10.3 8.45 6.44 14.9 11.6 10.2 8.08 6.17 7.90 7.03 2.88

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

84

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

10.3 7.84 6.59 5.32 4.00 9.55 7.29 6.13 4.95 3.73 2.51

63.9 50.2 42.9 35.2 26.9 51.2 40.4 34.6 28.4 21.7 14.9

2.49 2.53 2.55 2.57 2.59 2.32 2.35 2.37 2.39 2.41 2.43

0.604 0.586 0.576 0.567 0.558 0.653 0.632 0.620 0.610 0.602 0.590

9.54 7.50 6.41 5.26 4.02 7.65 6.03 5.17 4.24 3.24 2.23

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0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.312 0.250 0.188 0.125

37.38 28.54 23.95 19.36 14.68 34.71 26.53 22.29 18.02 13.68 9.18

0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174 0.116

260 198 166 134 101 241 184 154 125 94 63254 193 163 131 99 235 179 151 122 92 62251 191 161 130 97 232 177 149 120 91 61247 188 158 128 96 228 174 146 118 89 60243 185 156 126 95 224 171 144 116 88 59

239 182 153 124 93 219 168 141 114 86 58234 178 150 121 91 215 164 138 112 84 57229 175 147 119 90 210 160 135 109 82 56224 171 144 116 88 204 156 132 107 80 54218 167 141 114 86 199 152 128 104 78 53

213 163 137 111 84 193 148 125 101 76 51207 158 133 108 81 186 143 121 98 74 50200 153 129 105 79 180 138 117 95 72 48194 149 125 102 77 173 133 113 91 69 47187 144 121 98 74 166 128 108 88 66 45

180 138 117 95 72 159 123 104 84 64 43173 133 112 91 69 152 117 99 81 61 41165 127 108 88 66 144 111 94 77 58 39158 122 103 84 63 136 105 89 73 55 38150 116 98 80 61 127 99 84 69 52 35

141 110 93 76 58 119 92 79 64 49 33133 103 88 72 54 110 86 73 60 46 31124 97 82 67 51 101 79 67 55 42 29115 90 77 63 48 93 72 62 51 39 27106 83 71 58 45 85 67 57 47 36 25

98 77 66 54 41 79 62 53 43 33 2391 71 61 50 38 73 57 49 40 31 2184 66 57 46 35 68 53 46 37 29 2079 62 53 43 33 63 50 42 35 27 1874 58 49 40 31 59 46 40 33 25 17

69 54 46 38 29 55 43 37 31 23 1665 51 43 36 27 52 41 35 29 22 1561 48 41 33 26 49 38 33 27 21 1457 45 38 32 24 46 36 31 25 19 1354 42 36 30 23 44 34 29 24 18 13

51 40 34 28 21 41 32 28 23 17 1248 38 32 27 20 39 30 26 21 16 1146 36 31 25 19 37 29 25 20 16 1144 34 29 24 18 ==== 27 23 19 15 1041 33 28 23 17 ==== ==== ==== 14 10

7.500 7.000

Fy = 42 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

85

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

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Fy = 42 ksi

6.875 6.625

0.500 0.375 0.312 0.250 0.188 0.500 0.432 0.375 0.312 0.280 0.250 0.188 0.125

34.04 26.03 21.87 17.69 13.43 32.71 28.57 25.03 21.04 18.97 17.02 12.92 8.68

0.465 0.349 0.291 0.233 0.174 0.465 0.403 0.349 0.291 0.261 0.233 0.174 0.116

236 180 152 122 92 227 199 173 146 132 118 89 60230 176 148 120 90 221 194 169 142 128 115 87 58227 174 146 118 89 218 191 167 140 126 113 86 57223 171 144 116 87 214 187 164 138 124 111 84 57219 168 141 114 86 210 184 161 135 122 109 83 55

214 164 138 112 84 205 180 157 132 119 107 81 54210 161 135 109 83 200 176 153 129 117 105 79 53204 157 132 107 81 195 171 150 126 114 102 77 52199 153 129 104 79 189 166 145 123 111 99 75 51193 149 125 101 77 184 161 141 119 108 97 73 49

187 144 122 98 74 177 156 137 115 104 94 71 48181 140 118 95 72 171 150 132 111 101 90 68 46175 135 114 92 70 164 145 127 107 97 87 66 44168 130 109 89 67 157 139 122 103 93 84 63 43161 124 105 85 65 150 132 116 98 89 80 61 41

153 119 101 82 62 143 126 111 94 85 76 58 39146 113 96 78 59 135 119 105 89 81 73 55 37138 107 91 74 56 127 112 99 84 76 69 52 35130 101 86 70 53 118 105 93 79 72 64 49 33121 95 81 66 50 110 97 86 74 67 60 46 31

112 88 75 62 47 101 90 80 68 62 56 43 29103 82 70 57 44 92 82 73 62 57 51 39 2795 75 64 53 40 84 75 66 57 52 47 36 2587 69 59 48 37 77 69 61 52 48 43 33 2380 63 54 45 34 71 63 56 48 44 40 30 21

74 59 50 41 32 66 59 52 45 41 37 28 1969 54 46 38 29 61 54 48 41 38 34 26 1864 51 43 36 27 57 50 45 38 35 32 24 1759 47 40 33 25 53 47 42 36 33 29 23 1556 44 38 31 24 49 44 39 33 30 28 21 14

52 41 35 29 22 46 41 37 31 29 26 20 1449 39 33 27 21 43 39 34 29 27 24 19 1346 36 31 26 20 41 36 32 28 25 23 17 1243 34 29 24 18 38 34 30 26 24 21 16 1141 32 28 23 17 36 32 29 25 22 20 16 11

39 31 26 21 16 34 31 27 23 21 19 15 1037 29 25 20 16 ==== ==== 26 22 20 18 14 9

==== 27 23 19 15 ==== ==== ==== ==== 13 9==== ==== 18 14 ==== ====

==== ====

9.36 7.16 6.02 4.86 3.66 9.00 7.88 6.88 5.79 5.22 4.68 3.53 2.37

48.3 38.2 32.7 26.8 20.6 42.9 38.3 34.0 29.1 26.5 23.9 18.4 12.6

2.27 2.31 2.33 2.35 2.37 2.18 2.20 2.22 2.24 2.25 2.26 2.28 2.30

0.666 0.644 0.633 0.623 0.611 0.695 0.682 0.670 0.659 0.653 0.649 0.635 0.623

7.21 5.70 4.88 4.00 3.08 6.41 5.72 5.08 4.35 3.96 3.57 2.75 1.88

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

86

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.312 0.280 0.250 0.188 0.125

30.04 23.03 19.37 15.69 11.92 29.37 22.53 18.95 17.11 15.35 11.67 7.84

0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.261 0.233 0.174 0.116

208 160 134 109 82 204 156 132 119 106 80 54203 155 131 106 80 198 152 128 115 103 78 53199 153 129 104 78 195 149 126 113 102 77 52195 150 126 102 77 191 146 123 111 100 75 51191 146 123 100 75 186 143 121 109 98 74 50

186 143 121 98 74 181 139 118 106 95 72 48181 139 117 95 72 176 136 114 103 93 70 47176 135 114 92 70 171 132 111 100 90 68 46170 131 111 90 68 165 127 107 97 87 66 44164 126 107 87 65 159 123 104 94 84 64 43

158 122 103 83 63 152 118 100 90 81 61 41151 117 99 80 61 146 113 96 86 78 59 40144 112 95 77 58 139 108 91 83 74 56 38137 106 90 73 55 131 102 87 78 71 54 36129 101 85 69 53 123 96 82 74 67 51 34

121 95 81 65 50 115 90 77 70 63 48 32113 89 76 61 47 107 84 72 65 59 45 30105 82 70 57 44 98 78 66 60 55 42 2896 76 65 53 40 89 71 61 55 50 38 2687 69 59 48 37 81 64 55 50 46 35 24

79 63 54 44 34 73 58 50 46 41 32 2272 57 49 40 31 67 53 46 42 38 29 2065 52 45 37 28 61 49 42 38 34 26 1860 48 41 34 26 56 45 38 35 32 24 1755 44 38 31 24 52 41 35 32 29 22 15

51 41 35 29 22 48 38 33 30 27 21 1448 38 32 27 20 44 35 30 28 25 19 1344 35 30 25 19 41 33 28 26 23 18 1241 33 28 23 18 38 31 26 24 22 17 1138 31 26 21 17 36 29 25 22 20 16 11

36 29 25 20 15 34 27 23 21 19 15 1034 27 23 19 15 31 25 22 20 18 14 932 25 22 18 14 ==== 24 20 18 17 13 9

==== 24 20 17 13 ==== ==== ==== 16 12 8==== ==== ==== 12 ==== ==== ====

====

8.27 6.33 5.33 4.31 3.25 8.09 6.20 5.22 4.71 4.22 3.18 2.14

33.3 26.5 22.7 18.7 14.4 31.2 24.8 21.3 19.4 17.6 13.5 9.28

2.01 2.05 2.07 2.08 2.10 1.96 2.00 2.02 2.03 2.04 2.06 2.08

0.761 0.732 0.719 0.706 0.691 0.778 0.750 0.735 0.728 0.719 0.707 0.692

4.97 3.96 3.39 2.79 2.15 4.66 3.70 3.18 2.90 2.63 2.02 1.39

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6.125 6.000

Fy = 42 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

5.72 4.03 2.95 2.14 7.36 5.65 3.98

19.5 14.3 10.7 7.90 23.5 18.8 13.8

1.85 1.88 1.91 1.92 1.79 1.83 1.86

0.816 0.784 0.767 0.753 0.861 0.826 0.793

2.91 2.14 1.60 1.18 3.51 2.81 2.06

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0.375 0.258 0.188 0.134 0.500 0.375 0.258

20.78 14.62 10.79 7.77 26.70 20.53 14.44

0.349 0.241 0.174 0.125 0.465 0.349 0.241

144 102 74 54 185 142 100140 99 72 52 180 138 97137 97 71 51 176 135 95134 95 69 50 172 132 93131 92 68 49 167 129 91

127 90 66 48 162 125 88123 87 64 46 157 121 86119 84 62 45 151 117 83114 81 60 43 145 112 80110 78 57 42 139 108 76

105 74 55 40 132 103 7399 71 52 38 125 97 6994 67 50 36 118 92 6688 63 47 34 110 86 6282 59 44 32 102 80 58

76 55 41 30 93 74 5369 50 38 28 84 67 4963 46 34 25 75 61 4456 41 31 23 68 54 4051 37 28 20 61 49 36

46 33 25 19 55 44 3242 31 23 17 51 41 3038 28 21 15 46 37 2735 26 19 14 42 34 2532 24 18 13 39 31 23

30 22 17 12 36 29 2128 20 15 11 34 27 2026 19 14 10 31 25 1824 18 13 10 29 23 1723 16 12 9 ==== 22 16

==== ====15 12 9 15

==== ==== 8 ========

5.563 5.500

Fy = 42 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

88

6.62 5.10 4.30 3.60 3.49 2.64 1.78 4.14 2.97 2.36 1.60

17.2 13.9 12.0 10.2 9.94 7.69 5.31 9.12 6.82 5.54 3.84

1.61 1.65 1.67 1.68 1.69 1.71 1.73 1.48 1.51 1.53 1.55

0.962 0.917 0.896 0.882 0.878 0.858 0.838 1.02 0.98 0.958 0.938

2.57 2.08 1.79 1.52 1.48 1.15 0.793 1.36 1.02 0.827 0.573

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0.500 0.375 0.312 0.258 0.250 0.188 0.125 0.337 0.237 0.188 0.125

24.03 18.52 15.62 13.07 12.68 9.66 6.51 14.98 10.79 8.66 5.84

0.465 0.349 0.291 0.241 0.233 0.174 0.116 0.315 0.221 0.174 0.116

167 129 108 91 88 67 45 104 75 59 40161 124 105 88 85 64 43 100 72 57 39157 121 102 86 83 63 42 98 70 56 38153 118 100 83 81 61 41 95 68 54 37148 115 97 81 79 60 40 91 66 52 36

143 111 94 78 76 58 39 88 63 50 34137 107 90 76 73 56 38 84 60 48 33131 102 86 73 70 53 36 79 57 46 31125 97 83 69 67 51 35 75 54 43 30118 92 78 66 64 49 33 70 51 41 28

111 87 74 62 61 46 31 65 47 38 26104 81 69 58 57 43 30 60 44 35 2496 76 65 54 53 41 28 54 40 32 2287 69 59 50 49 38 26 48 36 29 2079 63 54 46 45 34 24 42 31 25 18

70 56 49 41 40 31 21 37 27 22 1662 50 43 36 36 28 19 33 24 20 1455 44 38 33 32 25 17 29 22 18 1249 40 34 29 29 22 15 26 19 16 1144 36 31 26 26 20 14 24 18 14 10

40 33 28 24 23 18 13 21 16 13 937 30 26 22 21 17 11 19 15 12 834 27 24 20 20 15 10 18 13 11 831 25 22 18 18 14 10 16 12 10 728 23 20 17 17 13 9 ==== 11 9 6

==== ==== ====26 21 18 16 15 12 8

==== 20 17 14 14 11 8==== ==== 13 13 10 7

==== ==== ==== ====

5.000 4.500Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 42 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

89

3.65 3.39 2.76 2.62 2.51 2.44 2.09 1.42

6.24 5.87 4.91 4.70 4.52 4.41 3.83 2.67

1.31 1.32 1.33 1.34 1.34 1.34 1.35 1.37

1.17 1.16 1.12 1.11 1.11 1.11 1.09 1.06

0.932 0.877 0.733 0.702 0.675 0.659 0.572 0.339

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0.337 0.313 0.250 0.237 0.226 0.220 0.188 0.125

13.18 12.33 10.01 9.52 9.11 8.88 7.65 5.17

0.315 0.291 0.233 0.221 0.211 0.205 0.174 0.116

92 85 70 66 63 61 53 3688 82 66 63 60 59 50 3485 79 64 61 59 57 49 3382 76 62 59 56 55 47 3278 73 59 57 54 53 45 31

74 69 57 54 52 50 43 2970 65 53 51 49 47 41 2866 61 50 48 46 45 38 2661 57 47 44 43 41 36 2456 52 43 41 39 38 33 23

50 47 39 37 36 35 30 2145 42 35 33 32 31 27 1938 36 30 29 28 27 23 1633 31 26 25 24 23 20 1429 27 23 22 21 20 18 12

25 24 20 19 18 18 15 1122 21 18 17 16 16 14 1020 19 16 15 14 14 12 918 17 14 14 13 13 11 816 15 13 12 12 11 10 7

15 14 11 11 11 10 9 6==== 13 10 10 10 9 8 6

==== ==== ==== ==== ==== ==== ====

4.000Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 42 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

90

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

2.93 2.83 2.39 2.08 1.97 1.82 1.23

3.81 3.70 3.21 2.84 2.70 2.52 1.77

1.14 1.14 1.16 1.17 1.17 1.18 1.20

1.35 1.34 1.30 1.28 1.28 1.26 1.22

0.569 0.553 0.479 0.424 0.403 0.376 0.264

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0.313 0.300 0.250 0.216 0.203 0.188 0.125

10.65 10.25 8.68 7.58 7.15 6.65 4.51

0.291 0.280 0.233 0.201 0.189 0.174 0.116

74 71 60 52 50 46 3170 67 57 50 47 43 2967 65 55 48 45 42 2864 62 52 46 43 40 2761 59 50 43 41 38 26

57 55 47 41 39 36 2453 51 43 38 36 33 2348 47 40 35 33 31 2143 42 36 32 30 28 1938 37 32 28 27 25 17

33 32 27 24 23 22 1527 26 23 21 19 18 1323 23 20 17 17 16 1120 19 17 15 14 13 918 17 15 13 12 12 8

15 15 13 12 11 10 714 13 12 10 10 9 612 12 10 9 9 8 611 11 9 8 8 7 5

==== ==== ==== ==== ==== ==== 5====

3.500

Fy = 42 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

91

0.300 0.250 0.216 0.203 0.188 0.152 0.134 0.120 0.250 0.203 0.188 0.125

8.65 7.34 6.42 6.06 5.65 4.62 4.10 3.69 7.01 5.79 5.40 3.67

0.280 0.233 0.201 0.189 0.174 0.142 0.125 0.112 0.233 0.189 0.174 0.116

60 51 45 42 39 32 28 26 49 40 37 2556 48 42 39 36 30 27 24 45 37 35 2453 46 40 38 35 29 25 23 43 35 33 2350 43 37 35 33 27 24 22 40 33 31 2147 40 35 33 30 25 23 20 37 31 29 20

43 37 32 30 28 23 21 19 34 28 26 1838 33 29 27 25 21 19 17 30 25 24 1634 29 26 24 22 19 17 15 26 22 21 1428 25 22 21 19 16 15 13 22 18 17 1223 20 18 17 16 13 12 11 18 15 14 10

19 17 15 14 13 11 10 9 15 12 12 816 14 13 12 11 9 8 8 12 10 10 714 12 11 10 9 8 7 7 10 9 8 612 10 9 9 8 7 6 6 9 8 7 510 9 8 8 7 6 5 5 8 7 6 4

==== ==== ====9 8 7 7 6 5 5 4 4

==== ==== ==== ==== ==== ==== 4 4 ======== ====

2.39 2.03 1.77 1.67 1.54 1.27 1.13 1.02 1.93 1.59 1.48 1.01

2.24 1.95 1.74 1.66 1.55 1.30 1.17 1.06 1.70 1.45 1.35 0.958

0.967 0.982 0.992 0.996 1.00 1.01 1.02 1.02 0.938 0.952 0.957 0.976

1.60 1.56 1.53 1.51 1.49 1.47 1.45 1.44 1.63 1.58 1.58 1.52

0.335 0.291 0.260 0.248 0.231 0.194 0.175 0.158 0.254 0.217 0.202 0.143

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3.000 2.875Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 42 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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92

1.66 1.27 0.87 1.57 1.39 1.20 1.00 0.82 0.75 0.62

1.08 0.865 0.619 0.910 0.827 0.733 0.627 0.527 0.293 0.184

0.806 0.825 0.844 0.762 0.771 0.781 0.791 0.800 0.626 0.543

1.92 1.84 1.76 2.05 2.00 1.94 1.89 1.85 2.43 2.80

0.161 0.129 0.092 0.136 0.123 0.109 0.094 0.079 0.044 0.027

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0.250 0.188 0.125 0.250 0.218 0.188 0.154 0.125 0.145 0.140

6.01 4.64 3.17 5.67 5.02 4.39 3.65 3.00 2.72 2.27

0.233 0.174 0.116 0.233 0.204 0.174 0.143 0.116 0.135 0.130

42 32 22 40 35 30 25 21 19 1638 29 20 36 32 28 23 19 17 1336 28 19 33 30 26 21 18 15 1233 25 18 30 27 24 20 16 13 1030 23 16 27 24 21 18 15 11 8

26 20 14 23 21 18 15 13 8 522 17 12 19 17 15 13 11 6 417 14 10 15 13 12 10 9 5 314 11 8 12 11 9 8 7 4 211 9 6 9 9 8 6 5 3 ====

====9 7 5 8 7 6 5 48 6 4 7 6 5 5 47 5 4 ==== ==== 4 4 3

==== ==== 3 ==== ==== ========

2.500 2.375 1.900 1.660Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 42 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=42HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

28.5 21.5 25.6 19.4 22.7 19.9 17.2 14.4 19.8 15.0 12.5

1360 1040 985 754 685 606 526 443 453 349 295

6.91 6.95 6.20 6.24 5.49 5.51 5.53 5.55 4.79 4.83 4.85

0.210 0.207 0.234 0.232 0.265 0.263 0.262 0.260 0.306 0.301 0.297

203 155 147 113 102 90.5 78.5 66.2 67.6 52.1 44.1

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0.500 0.375 0.500 0.375 0.500 0.438 0.375 0.312 0.500 0.375 0.312

104.13 78.60 93.45 70.59 82.77 72.80 62.58 52.28 72.09 54.57 45.61

0.465 0.349 0.465 0.349 0.465 0.407 0.349 0.291 0.465 0.349 0.291

787 593 707 535 627 549 475 397 546 414 345781 589 701 531 621 544 470 394 540 409 341778 587 697 529 617 541 468 392 537 407 339774 584 694 526 614 538 465 389 534 404 337771 582 690 523 610 535 462 387 530 401 335

767 579 687 521 606 532 459 385 526 398 332763 576 683 518 602 528 456 382 521 395 329759 573 679 514 598 524 453 380 517 392 327755 570 674 511 593 520 450 377 512 388 324751 567 670 508 589 516 446 374 507 385 321

747 563 665 505 584 512 443 371 502 381 318742 560 661 501 579 508 439 368 497 377 314737 557 656 497 574 503 435 365 492 373 311733 553 651 494 569 499 431 361 486 369 308728 549 646 490 563 494 427 358 480 365 304

723 545 640 486 558 489 423 354 474 360 300717 542 635 482 552 484 419 351 468 355 297712 538 629 477 546 479 414 347 462 351 293707 533 624 473 540 474 410 343 456 346 289701 529 618 469 534 468 405 339 449 341 285

695 525 612 464 527 463 400 335 442 336 280689 521 606 460 521 457 395 331 435 331 276683 516 599 455 514 451 391 327 428 325 272677 512 593 450 508 445 385 323 421 320 267671 507 586 445 501 439 380 319 414 314 263

665 502 580 440 494 433 375 314 406 309 258659 498 573 435 486 427 370 310 398 303 253652 493 566 430 479 421 364 305 390 297 248645 488 559 425 472 414 359 301 382 291 243639 483 552 419 464 407 353 296 374 285 238

632 477 545 414 456 401 347 291 366 279 233625 472 537 408 448 394 341 286 358 273 228618 467 530 403 440 387 335 281 349 266 222611 462 522 397 432 380 329 276 340 260 217603 456 515 391 424 373 323 271 331 253 212

596 451 507 385 416 365 317 266 322 246 206588 445 499 379 407 358 310 260 313 239 200581 439 491 373 398 350 304 255 303 232 194573 434 483 367 390 343 297 250 294 225 188565 428 474 361 381 335 290 244 284 218 182

20.000 18.000 16.000 14.000

Fy = 46 ksi

93

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

94

17.9 13.6 9.16 21.8 17.6 13.3 11.2 8.98 6.74

339 262 180 387 319 246 208 169 128

4.35 4.39 4.43 4.22 4.26 4.30 4.32 4.34 4.36

0.337 0.331 0.324 0.352 0.345 0.338 0.337 0.332 0.329

50.6 39.1 26.9 57.8 47.6 36.7 31.1 25.2 19.1

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0.500 0.375 0.250 0.625 0.500 0.375 0.312 0.250 0.188

65.42 49.56 33.38 79.27 64.08 48.56 40.61 32.71 24.72

0.465 0.349 0.233 0.581 0.465 0.349 0.291 0.233 0.174*

494 375 253 602 486 367 309 248 186488 371 250 594 480 363 305 245 184485 368 248 590 476 360 303 243 182481 366 246 585 473 357 301 241 181477 363 244 580 469 354 298 239 180

473 359 242 575 464 351 296 237 178469 356 240 569 460 348 293 235 176464 353 238 564 455 344 290 233 175459 349 235 558 451 341 287 230 173454 345 233 551 445 337 284 228 171

449 342 230 545 440 333 281 225 169444 337 228 538 435 329 277 222 167438 333 225 531 429 325 274 220 165432 329 222 523 423 320 270 217 163426 324 219 516 417 316 266 214 161

420 320 216 508 411 311 262 211 158414 315 213 500 404 306 258 207 156407 310 209 491 398 301 254 204 153400 305 206 483 391 296 250 201 151393 300 203 474 384 291 246 197 148

386 295 199 465 377 286 241 194 146379 289 195 456 369 280 237 190 143372 284 192 446 362 275 232 186 140364 278 188 436 354 269 227 182 137356 272 184 427 346 263 222 179 134

348 266 180 417 338 257 217 175 131340 260 176 406 330 251 212 171 128332 254 172 396 322 245 207 166 125324 248 168 385 313 238 201 162 122315 241 164 374 304 232 196 158 119

306 235 159 363 296 225 191 153 116297 228 155 351 286 219 185 149 112288 221 150 340 277 212 179 144 109279 214 146 328 268 205 173 140 105270 207 141 316 258 197 167 135 102

260 200 136 303 248 190 161 130 98250 193 131 291 238 183 155 125 94240 185 126 278 228 175 149 120 91230 177 121 265 218 167 142 115 87219 170 116 252 207 159 135 110 83

12.750 12.500

Fy = 46 ksi

*Slender element section. Diameter-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 3300/ Fy

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

0.625 0.500 0.375 0.312 0.250 0.188 0.625 0.500 0.375 0.312 0.250 0.188

78.02 63.08 47.81 39.99 32.21 24.35 77.60 62.75 47.56 39.78 32.04 24.22

0.581 0.465 0.349 0.291 0.233 0.174 0.581 0.465 0.349 0.291 0.233 0.174

591 477 362 304 244 183 588 475 359 301 243 182583 471 357 300 241 181 580 469 354 297 240 180579 468 354 298 239 180 576 465 352 295 238 179574 464 352 295 237 178 571 462 349 293 236 177569 460 349 293 235 177 566 458 346 290 234 176

564 456 346 290 233 175 561 453 343 288 232 174558 452 342 287 231 174 556 449 340 285 230 173553 447 339 285 229 172 550 444 336 282 228 171546 442 335 282 226 170 544 439 332 279 225 169540 437 331 278 224 168 537 434 329 276 223 167

533 432 327 275 221 166 530 429 325 272 220 165526 426 323 272 218 164 524 423 321 269 217 163519 420 319 268 216 162 516 418 316 265 214 161512 415 315 264 213 160 509 412 312 262 211 159504 408 310 261 210 158 501 406 307 258 208 156

496 402 305 257 206 155 493 399 303 254 205 154488 396 300 253 203 153 485 393 298 250 202 152480 389 295 248 200 150 477 386 293 246 199 149471 382 290 244 196 148 468 379 288 242 195 147462 375 285 240 193 145 459 372 282 237 192 144

453 368 280 235 189 143 450 365 277 233 188 141444 360 274 231 186 140 441 358 271 228 184 139434 353 268 226 182 137 431 350 266 223 181 136425 345 263 221 178 134 421 342 260 219 177 133415 337 257 216 174 131 411 334 254 214 173 130

404 329 251 211 170 128 401 326 248 209 169 127394 321 244 206 166 125 391 318 242 203 165 124383 312 238 201 162 122 380 309 236 198 161 121373 304 232 195 158 119 369 301 229 193 156 118362 295 225 190 153 116 358 292 223 187 152 114

350 286 218 184 149 112 347 283 216 182 147 111339 277 212 179 144 109 335 274 209 176 143 108327 267 205 173 140 105 324 264 202 170 138 104315 258 198 167 135 102 312 255 195 164 133 101303 248 190 161 130 98 299 245 188 158 129 97

290 238 183 155 125 95 287 235 180 152 124 93277 228 175 148 120 91 274 225 173 146 119 90264 218 168 142 115 87 261 214 165 139 114 86251 207 160 135 110 83 248 204 157 133 108 82239 197 152 129 104 79 235 194 149 126 103 78

21.4 17.3 13.1 11.0 8.84 6.64 21.3 17.2 13.0 10.9 8.80 6.60

369 304 235 199 161 122 363 299 231 196 159 120

4.15 4.19 4.23 4.25 4.27 4.29 4.13 4.17 4.21 4.23 4.25 4.27

0.357 0.350 0.343 0.340 0.338 0.335 0.359 0.352 0.345 0.341 0.339 0.337

55.1 45.4 35.1 29.7 24.0 18.2 54.2 44.7 34.5 29.3 23.7 17.9

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12.313 12.250

Fy = 46 ksi

95

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

96

19.5 15.8 12.0 10.0 8.06 6.05 15.0 11.1 7.70

278 229 178 151 122 92.9 199 151 106

3.78 3.82 3.86 3.88 3.90 3.92 3.64 3.68 3.72

0.395 0.388 0.379 0.373 0.372 0.366 0.405 0.395 0.390

41.5 34.2 26.6 22.5 18.2 13.9 29.7 22.5 15.8

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0.625 0.500 0.375 0.312 0.250 0.188 0.500 0.365 0.250

70.92 57.41 43.56 36.45 29.37 22.21 54.74 40.48 28.04

0.581 0.465 0.349 0.291 0.233 0.174 0.465 0.340 0.233

538 436 331 276 222 167 414 306 213531 430 327 272 219 165 408 302 209526 426 324 270 218 163 404 299 208521 423 321 268 216 162 401 297 206516 419 318 265 214 160 396 294 204

511 414 315 262 212 159 392 290 202505 410 311 260 209 157 387 287 199499 405 308 257 207 155 382 283 197493 400 304 253 204 154 377 280 194486 394 300 250 202 152 372 276 192

479 389 296 247 199 150 366 272 189472 383 292 243 196 147 360 267 186464 377 287 239 193 145 354 263 183457 371 282 236 190 143 348 258 180449 365 278 232 187 141 341 254 176

440 358 273 228 184 138 335 249 173432 351 268 223 180 136 328 244 170423 344 262 219 177 133 321 238 166414 337 257 215 173 130 313 233 162405 330 251 210 170 128 306 227 159

395 322 246 205 166 125 298 222 155386 314 240 201 162 122 290 216 151376 306 234 196 158 119 282 210 147365 298 228 191 154 116 274 204 143355 290 222 185 150 113 265 198 138

344 281 215 180 146 110 256 191 134333 272 209 175 141 107 247 185 130322 263 202 169 137 103 238 178 125310 254 195 164 133 100 229 171 120299 245 188 158 128 97 219 164 116

287 235 181 152 123 93 209 157 111274 226 174 146 118 89 199 150 106262 216 166 140 113 86 189 142 101249 205 159 133 108 82 178 135 95236 195 151 127 103 78 168 127 90

223 184 143 120 98 74 159 120 85211 175 135 114 93 70 151 114 81200 166 128 108 88 67 143 108 77190 157 122 103 84 63 136 102 73181 149 116 98 79 60 129 97 69

11.250 10.750

Fy = 46 ksi

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

17.2 13.9 10.6 8.88 7.15 5.37 13.4 10.2 8.53 6.87 5.17

191 159 123 105 85.3 64.8 141 110 93.0 75.9 57.7

3.34 3.38 3.41 3.43 3.45 3.47 3.24 3.28 3.30 3.32 3.34

0.450 0.437 0.431 0.423 0.419 0.414 0.457 0.446 0.441 0.436 0.431

28.5 23.7 18.4 15.7 12.7 9.68 21.1 16.4 13.9 11.3 8.62

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0.625 0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.312 0.250 0.188

62.58 50.73 38.55 32.28 26.03 19.70 48.73 37.05 31.03 25.03 18.95

0.581 0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174

` 475 384 293 245 197 148 370 282 235 190 143467 377 288 241 194 146 364 277 232 186 140462 374 285 239 192 145 360 274 229 185 139458 370 282 237 190 143 356 271 227 183 138452 366 279 234 188 142 352 268 224 181 136

447 361 276 231 186 140 347 265 221 178 134441 357 272 228 184 138 342 261 218 176 132434 352 268 225 181 136 337 257 215 173 131428 346 264 222 179 134 332 253 212 171 129421 341 260 218 176 132 326 249 208 168 126

413 335 256 215 173 130 320 244 205 165 124406 329 251 211 170 128 314 240 201 162 122398 322 246 207 167 125 307 235 197 159 120390 316 242 203 163 123 301 230 193 155 117381 309 237 199 160 120 294 225 188 152 115

372 302 231 194 157 118 287 219 184 148 112363 295 226 190 153 115 279 214 179 145 109354 288 220 185 149 112 272 208 175 141 106344 280 215 180 146 110 264 202 170 137 104334 272 209 175 142 107 256 196 165 133 101

324 264 203 170 138 104 247 190 160 129 97314 256 196 165 134 101 239 184 154 125 94303 247 190 160 129 98 230 177 149 120 91292 239 183 154 125 94 221 170 143 116 88281 230 177 149 121 91 212 163 138 112 84

269 221 170 143 116 88 202 156 132 107 81258 211 163 137 111 84 193 149 126 102 77245 202 156 131 107 81 183 142 120 97 74233 192 148 125 102 77 173 134 113 92 70220 182 141 119 97 73 162 126 107 87 66

207 171 133 112 91 69 152 118 100 82 62194 161 125 106 86 65 142 111 94 77 58183 151 117 99 81 62 134 104 88 72 55172 142 111 94 76 58 126 98 83 68 52162 134 104 88 72 55 119 93 79 64 49

154 127 99 84 68 52 113 88 74 61 46145 120 93 79 64 49 107 83 70 57 44138 114 89 75 61 46 101 79 67 54 41131 108 84 71 58 44 96 75 63 52 39124 103 80 68 55 42 91 71 60 49 37

10.000 9.625

Fy = 46 ksi

97

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

98

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Fy = 46 ksi

8.750 8.625 7.625

0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.322 0.250 0.188 0.375 0.328 0.125

44.06 33.54 28.12 22.70 17.19 43.39 33.04 28.55 22.36 16.94 29.04 25.56 10.01

0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.300 0.233 0.174 0.349 0.305 0.166

334 254 213 172 129 328 250 217 169 128 220 193 76328 249 209 169 127 322 246 213 166 125 215 189 74324 247 207 167 126 318 243 210 164 124 213 187 73320 244 205 165 124 314 240 208 162 122 209 184 72315 240 202 163 123 310 236 205 160 121 206 181 71

311 237 199 160 121 305 233 202 158 119 202 178 70306 233 196 158 119 300 229 198 155 117 198 174 68300 229 192 155 117 295 225 195 153 115 194 171 67295 225 189 152 115 289 221 191 150 113 189 167 65289 220 185 149 113 283 216 188 147 111 185 162 64

282 216 181 146 110 277 212 184 144 108 180 158 62276 211 177 143 108 270 207 179 141 106 175 154 61269 206 173 140 105 264 202 175 137 103 169 149 59262 201 169 136 103 256 197 171 134 101 164 144 57255 195 164 133 100 249 191 166 130 98 158 139 55

247 190 160 129 97 242 185 161 126 95 152 134 53240 184 155 125 95 234 180 156 123 93 146 128 51232 178 150 121 92 226 174 151 119 90 139 123 49223 172 145 117 89 217 167 146 114 86 132 117 47215 165 139 113 85 209 161 140 110 83 126 111 45

206 159 134 109 82 200 154 134 106 80 118 105 42197 152 128 104 79 191 148 129 101 77 111 98 40188 145 123 100 76 182 141 123 97 73 103 92 37178 138 117 95 72 172 134 117 92 70 96 85 35168 131 111 90 68 162 126 110 87 66 88 78 32

158 123 104 85 65 152 119 104 82 62 81 72 30148 115 98 80 61 141 111 97 77 59 76 67 28137 107 91 75 57 131 103 90 72 55 70 62 26128 100 85 70 53 123 96 84 67 51 65 58 24120 94 80 65 50 115 90 79 62 48 61 54 22

112 88 75 61 46 107 84 74 58 45 57 51 21105 82 70 57 44 101 79 69 55 42 54 48 2099 77 66 54 41 95 74 65 52 39 51 45 1893 73 62 51 39 89 70 61 49 37 48 42 1788 69 59 48 36 84 66 58 46 35 45 40 16

83 65 55 45 34 80 62 55 43 33 43 38 1679 62 52 43 33 75 59 52 41 31 40 36 1575 58 50 41 31 71 56 49 39 30 38 34 1471 55 47 38 29 68 53 47 37 28 36 32 1367 53 45 37 28 64 50 44 35 27 34 30 13

12.1 9.21 7.73 6.23 4.69 11.9 9.07 7.85 6.14 4.62 7.98 7.01 2.74

104 81.4 69.3 56.6 43.1 99.5 77.8 68.1 54.1 41.3 52.9 47.1 19.3

2.93 2.97 2.99 3.01 3.03 2.89 2.93 2.95 2.97 2.99 2.58 2.59 2.66

0.509 0.495 0.488 0.482 0.476 0.516 0.503 0.497 0.489 0.482 0.575 0.567 0.541

15.5 12.2 10.3 8.45 6.44 14.9 11.6 10.2 8.08 6.17 7.90 7.03 2.88

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

99

10.3 7.84 6.59 5.32 4.00 9.55 7.29 6.13 4.95 3.73 2.51

63.9 50.2 42.9 35.2 26.9 51.2 40.4 34.6 28.4 21.7 14.9

2.49 2.53 2.55 2.57 2.59 2.32 2.35 2.37 2.39 2.41 2.43

0.604 0.586 0.576 0.567 0.558 0.653 0.632 0.620 0.610 0.602 0.590

9.54 7.50 6.41 5.26 4.02 7.65 6.03 5.17 4.24 3.24 2.23

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0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.312 0.250 0.188 0.125

37.38 28.54 23.95 19.36 14.68 34.71 26.53 22.29 18.02 13.68 9.18

0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174 0.116

284 216 182 147 110 264 201 169 137 103 69278 212 178 144 108 257 196 165 133 101 68274 209 175 142 107 253 193 163 131 99 67270 205 173 140 105 249 190 160 129 97 66265 202 170 137 103 244 186 157 127 96 64

260 198 167 135 101 239 183 154 124 94 63254 194 163 132 99 233 178 150 122 92 62249 190 160 129 97 227 174 147 119 89 60243 185 156 126 95 221 169 143 115 87 59236 181 152 123 93 214 164 139 112 85 57

229 176 148 120 90 208 159 134 109 82 55222 170 144 116 88 200 154 130 105 80 54215 165 139 113 85 193 148 125 101 77 52207 159 134 109 82 185 142 120 98 74 50200 153 129 105 79 177 136 115 93 71 48

191 147 124 101 76 168 130 110 89 68 46183 141 119 97 73 159 123 104 85 64 44174 134 114 92 70 150 116 99 80 61 41165 128 108 88 67 141 109 93 76 58 39155 121 102 83 63 131 102 87 71 54 37

146 113 96 79 60 121 94 80 66 50 34136 106 90 74 56 110 86 74 61 46 32125 98 84 69 52 101 79 67 55 42 29115 90 77 63 48 93 72 62 51 39 27106 83 71 58 45 85 67 57 47 36 25

98 77 66 54 41 79 62 53 43 33 2391 71 61 50 38 73 57 49 40 31 2184 66 57 46 35 68 53 46 37 29 2079 62 53 43 33 63 50 42 35 27 1874 58 49 40 31 59 46 40 33 25 17

69 54 46 38 29 55 43 37 31 23 1665 51 43 36 27 52 41 35 29 22 1561 48 41 33 26 49 38 33 27 21 1457 45 38 32 24 46 36 31 25 19 1354 42 36 30 23 44 34 29 24 18 13

51 40 34 28 21 41 32 28 23 17 1248 38 32 27 20 39 30 26 21 16 1146 36 31 25 19 37 29 25 20 16 1144 34 29 24 18 ==== 27 23 19 15 1041 33 28 23 17 ==== ==== ==== 14 10

7.500 7.000

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

100

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Fy = 46 ksi

6.875 6.625

0.500 0.375 0.312 0.250 0.188 0.500 0.432 0.375 0.312 0.280 0.250 0.188 0.125

34.04 26.03 21.87 17.69 13.43 32.71 28.57 25.03 21.04 18.97 17.02 12.92 8.68

0.465 0.349 0.291 0.233 0.174 0.465 0.403 0.349 0.291 0.261 0.233 0.174 0.116

258 198 166 134 101 248 217 190 160 144 129 97 65252 193 162 131 99 242 212 185 156 140 126 95 64248 190 160 129 97 238 208 182 153 138 124 93 63243 186 157 127 95 233 204 179 150 136 122 92 62239 183 154 124 94 228 200 175 147 133 119 90 60

233 179 151 122 92 223 196 171 144 130 117 88 59228 175 147 119 90 217 191 167 141 127 114 86 58222 170 143 116 88 211 185 162 137 123 111 84 56215 166 140 113 85 205 180 157 133 120 108 81 55209 161 135 110 83 198 174 152 129 116 104 79 53

202 155 131 106 80 191 168 147 124 112 101 76 51194 150 126 103 77 183 161 141 119 108 97 73 50187 144 122 99 75 175 154 136 115 104 93 71 48179 138 117 95 72 167 147 129 110 99 89 68 46170 132 112 91 69 159 140 123 104 94 85 64 44

162 126 106 86 66 150 132 117 99 90 81 61 41153 119 101 82 62 141 124 110 93 84 76 58 39143 112 95 77 59 131 116 103 87 79 71 54 37134 105 89 73 55 121 108 95 81 74 67 51 35124 97 83 68 52 111 99 88 75 68 61 47 32

113 90 77 63 48 101 90 80 68 62 56 43 29103 82 70 58 44 92 82 73 62 57 51 39 2795 75 64 53 40 84 75 66 57 52 47 36 2587 69 59 48 37 77 69 61 52 48 43 33 2380 63 54 45 34 71 63 56 48 44 40 30 21

74 59 50 41 32 66 59 52 45 41 37 28 1969 54 46 38 29 61 54 48 41 38 34 26 1864 51 43 36 27 57 50 45 38 35 32 24 1759 47 40 33 25 53 47 42 36 33 29 23 1556 44 38 31 24 49 44 39 33 30 28 21 14

52 41 35 29 22 46 41 37 31 29 26 20 1449 39 33 27 21 43 39 34 29 27 24 19 1346 36 31 26 20 41 36 32 28 25 23 17 1243 34 29 24 18 38 34 30 26 24 21 16 1141 32 28 23 17 36 32 29 25 22 20 16 11

39 31 26 21 16 34 31 27 23 21 19 15 1037 29 25 20 16 ==== ==== 26 22 20 18 14 9

==== 27 23 19 15 ==== ==== ==== ==== 13 9==== ==== 18 14 ==== ====

==== ====

9.36 7.16 6.02 4.86 3.66 9.00 7.88 6.88 5.79 5.22 4.68 3.53 2.37

48.3 38.2 32.7 26.8 20.6 42.9 38.3 34.0 29.1 26.5 23.9 18.4 12.6

2.27 2.31 2.33 2.35 2.37 2.18 2.20 2.22 2.24 2.25 2.26 2.28 2.30

0.666 0.644 0.633 0.623 0.611 0.695 0.682 0.670 0.659 0.653 0.649 0.635 0.623

7.21 5.70 4.88 4.00 3.08 6.41 5.72 5.08 4.35 3.96 3.57 2.75 1.88

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

101

0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.312 0.280 0.250 0.188 0.125

30.04 23.03 19.37 15.69 11.92 29.37 22.53 18.95 17.11 15.35 11.67 7.84

0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.261 0.233 0.174 0.116

228 175 147 119 90 223 171 144 130 116 88 59222 170 143 116 87 217 166 140 126 113 85 57218 167 140 114 86 212 163 137 124 111 84 56213 163 138 111 84 208 160 134 121 109 82 55208 159 134 109 82 203 156 131 119 106 80 54

202 155 131 106 80 197 152 128 115 104 78 53196 151 127 103 78 191 147 124 112 101 76 51190 146 124 100 76 185 142 120 109 97 74 50183 141 119 97 73 178 137 116 105 94 71 48176 136 115 93 71 171 132 112 101 91 68 46

169 131 110 89 68 163 126 107 97 87 66 44161 125 106 86 65 155 120 102 92 83 63 43153 119 101 82 62 147 114 97 88 79 60 41144 112 95 77 59 138 108 92 83 75 57 38135 106 90 73 56 129 101 86 78 70 53 36

126 99 84 68 52 120 94 80 73 66 50 34117 92 78 64 49 110 87 74 67 61 46 32106 84 72 59 45 99 79 68 62 56 43 2996 76 66 54 41 89 71 61 56 50 39 2787 69 59 48 37 81 64 55 50 46 35 24

79 63 54 44 34 73 58 50 46 41 32 2272 57 49 40 31 67 53 46 42 38 29 2065 52 45 37 28 61 49 42 38 34 26 1860 48 41 34 26 56 45 38 35 32 24 1755 44 38 31 24 52 41 35 32 29 22 15

51 41 35 29 22 48 38 33 30 27 21 1448 38 32 27 20 44 35 30 28 25 19 1344 35 30 25 19 41 33 28 26 23 18 1241 33 28 23 18 38 31 26 24 22 17 1138 31 26 21 17 36 29 25 22 20 16 11

36 29 25 20 15 34 27 23 21 19 15 1034 27 23 19 15 31 25 22 20 18 14 932 25 22 18 14 ==== 24 20 18 17 13 9

==== 24 20 17 13 ==== ==== ==== 16 12 8==== ==== ==== 12 ==== ==== ====

====

8.27 6.33 5.33 4.31 3.25 8.09 6.2 5.22 4.71 4.22 3.18 2.14

33.3 26.5 22.7 18.7 14.4 31.2 24.8 21.3 19.4 17.6 13.5 9.28

2.01 2.05 2.07 2.08 2.1 1.96 2 2.02 2.03 2.04 2.06 2.08

0.761 0.732 0.719 0.706 0.691 0.778 0.75 0.735 0.728 0.719 0.707 0.692

4.97 3.96 3.39 2.79 2.15 4.66 3.7 3.18 2.9 2.63 2.02 1.39

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6.125 6.000

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

102

5.72 4.03 2.95 2.14 7.36 5.65 3.98

19.5 14.3 10.7 7.90 23.5 18.8 13.8

1.85 1.88 1.91 1.92 1.79 1.83 1.86

0.816 0.784 0.767 0.753 0.861 0.826 0.793

2.91 2.14 1.60 1.18 3.51 2.81 2.06

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0.375 0.258 0.188 0.134 0.500 0.375 0.258

20.78 14.62 10.79 7.77 26.70 20.53 14.44

0.349 0.241 0.174 0.125 0.465 0.349 0.241

158 111 81 59 203 156 110153 108 79 57 196 151 106150 106 77 56 192 148 104146 103 76 55 187 144 102142 100 74 53 182 140 99

138 97 72 52 176 136 96133 94 69 50 170 131 93128 91 67 49 163 126 89123 87 64 47 156 121 86118 83 62 45 149 115 82

112 79 59 43 141 110 78106 75 56 41 133 103 7499 71 52 38 124 97 6992 66 49 36 115 90 6585 61 46 33 105 83 60

78 56 42 31 95 76 5570 51 38 28 85 68 4963 46 34 25 75 61 4456 41 31 23 68 54 4051 37 28 20 61 49 36

46 33 25 19 55 44 3242 31 23 17 51 41 3038 28 21 15 46 37 2735 26 19 14 42 34 2532 24 18 13 39 31 23

30 22 17 12 36 29 2128 20 15 11 34 27 2026 19 14 10 31 25 1824 18 13 10 29 23 1723 16 12 9 ==== 22 16

==== ====15 12 9 15

==== ==== 8 ========

5.563 5.500

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

103

6.62 5.10 4.30 3.60 3.49 2.64 1.78 4.14 2.97 2.36 1.60

17.2 13.9 12.0 10.2 9.94 7.69 5.31 9.12 6.82 5.54 3.84

1.61 1.65 1.67 1.68 1.69 1.71 1.73 1.48 1.51 1.53 1.55

0.962 0.917 0.896 0.882 0.878 0.858 0.838 1.02 0.980 0.958 0.938

2.57 2.08 1.79 1.52 1.48 1.15 0.793 1.36 1.02 0.827 0.573

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0.500 0.375 0.312 0.258 0.250 0.188 0.125 0.337 0.237 0.188 0.125

24.03 18.52 15.62 13.07 12.68 9.66 6.51 14.98 10.79 8.66 5.84

0.465 0.349 0.291 0.241 0.233 0.174 0.116 0.315 0.221 0.174 0.116

183 141 119 99 96 73 49 114 82 65 44176 136 114 96 93 70 47 110 79 63 42171 132 112 94 91 69 46 106 76 61 41166 129 109 91 88 67 45 103 74 59 40161 124 105 88 86 65 44 99 71 57 39

155 120 101 85 83 63 42 95 68 54 37148 115 97 82 79 60 41 90 65 52 35141 110 93 78 76 58 39 85 62 49 34134 104 88 74 72 55 37 80 58 46 32126 98 84 70 68 52 35 74 54 43 30

117 92 78 66 64 49 33 68 50 40 27109 86 73 61 60 46 31 62 45 37 2599 79 67 57 55 42 29 55 41 33 2389 72 61 52 51 39 27 48 36 29 2079 64 55 47 46 35 24 42 31 25 18

70 56 49 41 40 31 22 37 27 22 1662 50 43 36 36 28 19 33 24 20 1455 44 38 33 32 25 17 29 22 18 1249 40 34 29 29 22 15 26 19 16 1144 36 31 26 26 20 14 24 18 14 10

40 33 28 24 23 18 13 21 16 13 937 30 26 22 21 17 11 19 15 12 834 27 24 20 20 15 10 18 13 11 831 25 22 18 18 14 10 16 12 10 728 23 20 17 17 13 9 ==== 11 9 6

==== ==== ====26 21 18 16 15 12 8

==== 20 17 14 14 11 8==== ==== 13 13 10 7

==== ==== ==== ====

5.000 4.500

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

104

3.65 3.39 2.76 2.62 2.51 2.44 2.09 1.42

6.24 5.87 4.91 4.70 4.52 4.41 3.83 2.67

1.31 1.32 1.33 1.34 1.34 1.34 1.35 1.37

1.17 1.16 1.12 1.11 1.11 1.11 1.09 1.06

0.932 0.877 0.733 0.702 0.675 0.659 0.572 0.399

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0.337 0.313 0.250 0.237 0.226 0.220 0.188 0.125

13.18 12.33 10.01 9.52 9.11 8.88 7.65 5.17

0.315 0.291 0.233 0.221 0.211 0.205 0.174 0.116

101 94 76 72 69 67 58 3996 89 73 69 66 64 55 3793 86 70 67 64 62 53 3689 83 67 64 61 60 51 3585 79 64 61 59 57 49 33

80 75 61 58 56 54 46 3275 70 57 55 52 51 44 3070 65 54 51 49 48 41 2864 60 49 47 45 44 38 2658 55 45 43 41 40 34 24

52 49 40 38 37 36 31 2145 42 35 34 32 31 27 1938 36 30 29 28 27 23 1633 31 26 25 24 23 20 1429 27 23 22 21 20 18 12

25 24 20 19 18 18 15 1122 21 18 17 16 16 14 1020 19 16 15 14 14 12 918 17 14 14 13 13 11 816 15 13 12 12 11 10 7

15 14 11 11 11 10 9 6==== 13 10 10 10 9 8 6

==== ==== ==== ==== ==== ==== ====

4.000

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

2.93 2.83 2.39 2.08 1.97 1.82 1.23

3.81 3.70 3.21 2.84 2.70 2.52 1.77

1.14 1.14 1.16 1.17 1.17 1.18 1.20

1.35 1.34 1.30 1.28 1.28 1.26 1.22

0.569 0.553 0.479 0.424 0.403 0.376 0.264

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0.313 0.300 0.250 0.216 0.203 0.188 0.125

10.65 10.25 8.68 7.58 7.15 6.65 4.51

0.291 0.280 0.233 0.201 0.189 0.174 0.116

81 78 66 57 54 50 3476 74 62 54 51 47 3273 71 60 52 49 46 3169 67 57 50 47 43 2965 63 54 47 44 41 28

61 59 50 44 41 38 2656 54 46 40 38 36 2451 49 42 37 35 32 2245 44 38 33 31 29 2039 38 33 29 27 26 18

33 32 28 24 23 22 1527 26 23 21 19 18 1323 23 20 17 17 16 1120 19 17 15 14 13 918 17 15 13 12 12 8

15 15 13 12 11 10 714 13 12 10 10 9 612 12 10 9 9 8 611 11 9 8 8 7 5

==== ==== ==== ==== ==== ==== 5====

3.500

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

105

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

106

0.300 0.250 0.216 0.203 0.188 0.152 0.134 0.120 0.250 0.203 0.188 0.125

8.65 7.34 6.42 6.06 5.65 4.62 4.10 3.69 7.01 5.79 5.40 3.67

0.280 0.233 0.201 0.189 0.174 0.142 0.125 0.112 0.233 0.189 0.174 0.116

66 56 49 46 43 35 31 28 53 44 41 2861 52 46 43 40 33 29 26 49 41 38 2658 49 43 41 38 31 28 25 47 39 36 2554 46 41 38 35 29 26 24 43 36 34 2350 43 38 35 33 27 24 22 40 33 31 21

45 39 34 32 30 25 22 20 36 30 28 1940 35 31 29 27 22 20 18 32 26 25 1735 30 27 25 23 19 18 16 27 23 21 1529 25 22 21 20 16 15 13 22 18 17 1223 20 18 17 16 13 12 11 18 15 14 10

19 17 15 14 13 11 10 9 15 12 12 816 14 13 12 11 9 8 8 12 10 10 714 12 11 10 9 8 7 7 10 9 8 612 10 9 9 8 7 6 6 9 8 7 510 9 8 8 7 6 5 5 8 7 6 4

==== ==== ====9 8 7 7 6 5 5 4 4

==== ==== ==== ==== ==== ==== 4 4 ======== ====

2.39 2.03 1.77 1.67 1.54 1.27 1.13 1.02 1.93 1.59 1.48 1.01

2.24 1.95 1.74 1.66 1.55 1.30 1.17 1.06 1.70 1.45 1.35 0.958

0.967 0.982 0.992 0.996 1.00 1.01 1.02 1.02 0.938 0.952 0.957 0.976

1.60 1.56 1.53 1.51 1.49 1.47 1.45 1.44 1.63 1.58 1.58 1.52

0.335 0.291 0.260 0.248 0.231 0.194 0.175 0.158 0.254 0.217 0.202 0.143

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3.000 2.875

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=46HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

1.66 1.27 0.87 1.57 1.39 1.20 1.00 0.82 0.75 0.62

1.08 0.865 0.619 0.910 0.827 0.733 0.627 0.527 0.293 0.184

0.806 0.825 0.844 0.762 0.771 0.781 0.791 0.800 0.626 0.543

1.92 1.84 1.76 2.05 2.00 1.94 1.89 1.85 2.43 2.80

0.161 0.129 0.092 0.136 0.123 0.109 0.094 0.079 0.044 0.027

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0.250 0.188 0.125 0.250 0.218 0.188 0.154 0.125 0.145 0.140

6.01 4.64 3.17 5.67 5.02 4.39 3.65 3.00 2.72 2.27

0.233 0.174 0.116 0.233 0.204 0.174 0.143 0.116 0.135 0.130

46 35 24 43 38 33 28 23 21 1742 32 22 39 35 30 25 21 18 1539 30 21 36 32 28 23 19 16 1335 27 19 33 29 25 21 17 14 1032 25 17 29 26 22 19 16 11 8

27 21 15 24 22 19 16 13 8 522 18 13 19 17 15 13 11 6 417 14 10 15 13 12 10 9 5 314 11 8 12 11 9 8 7 4 211 9 6 9 9 8 6 5 3 ====

====9 7 5 8 7 6 5 48 6 4 7 6 5 5 47 5 4 ==== ==== 4 4 3

==== ==== 3 ==== ==== ========

2.500 2.375 1.900 1.660

Fy = 46 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

107

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

108

28.5 21.5 25.6 19.4 22.7 19.9 17.2 14.4 19.8 15.0 12.5

1360 1040 985 754 685 606 526 443 453 349 295

6.91 6.95 6.20 6.24 5.49 5.51 5.53 5.55 4.79 4.83 4.85

0.210 0.207 0.234 0.232 0.265 0.263 0.262 0.260 0.306 0.301 0.297

203 155 147 113 102 90.5 78.5 66.2 67.6 52.1 44.1

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0.500 0.375 0.500 0.375 0.500 0.438 0.375 0.312 0.500 0.375 0.312

104.13 78.60 93.45 70.59 82.77 72.80 62.58 52.28 72.09 54.57 45.61

0.465 0.349 0.465 0.349 0.465 0.407 0.349 0.291 0.465 0.349 0.291

855 645 768 582 681 597 516 432 594 450 375848 640 761 577 674 591 511 428 587 445 371845 637 758 574 670 588 508 425 583 442 368841 634 754 571 666 584 505 423 579 439 366837 631 750 568 662 581 502 420 575 436 363

833 628 745 565 658 577 499 417 570 432 360828 625 741 562 653 573 495 415 565 429 357824 622 736 558 648 568 491 412 560 425 354819 618 731 554 643 564 488 408 555 421 351814 614 726 551 638 559 484 405 549 417 347

809 611 721 547 632 555 479 402 544 412 344804 607 716 543 627 550 475 398 537 408 340799 603 710 538 621 544 471 394 531 403 336793 599 704 534 615 539 466 391 525 398 332787 594 698 530 608 534 462 387 518 393 328

782 590 692 525 602 528 457 383 511 388 324776 585 686 520 595 522 452 378 504 383 319769 581 679 515 588 516 447 374 497 377 315763 576 673 510 581 510 441 370 489 372 310757 571 666 505 574 504 436 365 482 366 305

750 566 659 500 567 498 430 361 474 360 301743 561 652 495 559 491 425 356 466 354 296736 556 645 489 552 484 419 351 458 348 290729 551 637 484 544 477 413 346 449 342 285722 546 630 478 536 470 407 341 441 335 280

715 540 622 472 528 463 401 336 432 329 275708 535 614 467 519 456 395 331 423 322 269700 529 606 461 511 449 389 326 414 315 263692 523 598 454 502 441 382 320 405 308 258685 517 590 448 494 434 375 315 395 301 252

677 512 582 442 485 426 369 309 386 294 246669 505 573 436 476 418 362 304 376 287 240660 499 564 429 466 410 355 298 366 279 234652 493 556 422 457 402 348 292 356 272 227644 487 547 416 447 393 341 286 345 264 221

635 480 538 409 438 385 333 280 335 256 214626 474 528 402 428 376 326 274 324 248 208618 467 519 395 418 367 318 268 313 240 201609 461 509 388 407 358 311 261 302 231 194600 454 500 381 397 349 303 255 290 223 187

20.000 18.000 16.000 14.000

Fy = 50 ksi

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

17.9 13.6 9.16 21.8 17.6 13.3 11.2 8.98 6.74

339 262 180 387 319 246 208 169 128

4.35 4.39 4.43 4.22 4.26 4.30 4.32 4.34 4.36

0.337 0.331 0.324 0.352 0.345 0.338 0.337 0.332 0.329

50.6 39.1 26.9 57.8 47.6 36.7 31.1 25.2 19.1

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0.500 0.375 0.250 0.625 0.500 0.375 0.312 0.250 0.188

65.42 49.56 33.38 79.27 64.08 48.56 40.61 32.71 24.72

0.465 0.349 0.233 0.581 0.465 0.349 0.291 0.233 0.174*

537 408 275 654 528 399 336 269 197530 403 271 645 521 394 332 266 197526 400 269 640 517 391 329 264 197522 397 267 635 513 388 327 262 197518 393 265 630 508 384 324 260 195

513 390 263 624 504 381 321 257 193508 386 260 617 499 377 318 255 191503 382 258 610 493 373 314 252 189497 378 255 603 488 369 311 249 187491 374 252 596 482 365 307 246 185

485 369 249 588 476 360 303 243 183479 364 246 581 469 355 299 240 180473 360 243 572 463 350 295 237 178466 355 239 564 456 345 291 234 175459 349 236 555 449 340 287 230 173

452 344 232 546 442 335 282 227 170444 339 229 536 434 329 278 223 167437 333 225 527 427 323 273 219 165429 327 221 517 419 318 268 215 162421 321 217 507 411 311 263 211 159

413 315 213 496 402 305 258 207 156405 309 209 486 394 299 252 203 152396 302 204 475 385 292 247 198 149387 296 200 463 376 286 241 194 146378 289 196 452 367 279 236 189 143

369 282 191 440 358 272 230 185 139360 275 186 428 348 265 224 180 136350 268 182 416 339 258 218 175 132340 261 177 404 329 250 212 170 128330 253 172 391 318 243 205 165 125

320 245 167 378 308 235 199 160 121310 238 162 365 298 227 192 155 117299 230 156 351 287 219 186 150 113288 222 151 337 276 211 179 144 109277 213 146 323 265 203 172 139 105

266 205 140 309 253 194 165 133 101255 196 134 294 241 185 157 127 96243 188 128 279 229 177 150 121 92231 179 122 265 218 168 143 115 87220 170 117 252 207 159 135 110 83

12.750 12.500

Fy = 50 ksi

109

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*Slender element section. Diameter-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 3300/Fy.

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

110

0.625 0.500 0.375 0.312 0.250 0.188 0.625 0.500 0.375 0.312 0.250 0.188

78.02 63.08 47.81 39.99 32.21 24.35 77.60 62.75 47.56 39.78 32.04 24.22

0.581 0.465 0.349 0.291 0.233 0.174* 0.581 0.465 0.349 0.291 0.233 0.174*

642 519 393 330 265 195 639 516 390 327 264 194633 512 388 326 262 195 630 509 385 323 261 194628 508 385 323 260 195 625 505 382 320 259 194623 504 382 321 258 194 620 501 379 318 256 192617 499 378 318 255 192 614 496 375 315 254 191

611 495 375 315 253 190 608 492 372 312 252 189605 489 371 312 250 188 602 486 368 309 249 187598 484 367 308 248 186 595 481 364 305 247 185591 479 363 305 245 184 588 475 360 302 244 183584 473 358 301 242 182 581 470 355 298 241 181

576 466 354 297 239 180 573 463 351 294 238 178568 460 349 293 236 177 565 457 346 290 235 176560 454 344 289 233 175 557 450 341 286 231 174551 447 339 285 229 172 548 444 336 282 228 171542 440 334 280 226 170 539 437 331 278 224 168

533 432 328 276 222 167 530 429 325 273 221 166524 425 323 271 218 164 521 422 320 268 217 163514 417 317 266 214 161 511 414 314 264 213 160504 409 311 261 211 158 501 406 308 259 209 157494 401 305 256 206 155 491 398 302 254 205 154

484 393 299 251 202 152 480 389 296 248 201 151473 384 292 246 198 149 469 381 289 243 197 148462 375 286 240 194 146 458 372 283 238 192 145450 366 279 235 189 143 447 363 276 232 188 141439 357 272 229 185 139 435 354 269 226 183 138

427 348 265 223 180 136 424 344 262 221 179 134415 338 258 217 175 132 412 335 255 215 174 131403 328 251 211 170 128 399 325 248 208 169 127390 318 243 205 165 125 387 315 240 202 164 123377 308 235 199 160 121 374 305 233 196 159 120

364 298 228 192 155 117 360 294 225 189 154 116351 287 220 185 150 113 347 284 217 183 148 112337 276 212 179 144 109 333 273 209 176 143 108323 265 203 172 139 105 319 261 200 169 137 104309 253 195 165 133 101 305 250 192 162 132 100

294 242 186 158 128 97 290 238 183 155 126 95279 230 177 150 122 92 275 227 174 148 120 91265 218 168 143 116 88 261 215 165 140 114 86251 207 160 135 110 83 248 204 157 133 108 82239 197 152 129 104 79 235 194 149 126 103 78

21.4 17.3 13.1 11.0 8.84 6.64 21.3 17.2 13.0 10.9 8.80 6.60

369 304 235 199 161 122 363 299 231 196 159 120

4.15 4.19 4.23 4.25 4.27 4.29 4.13 4.17 4.21 4.23 4.25 4.27

0.357 0.350 0.343 0.340 0.338 0.335 0.359 0.352 0.345 0.341 0.339 0.337

55.1 45.4 35.1 29.7 24.0 18.2 54.2 44.7 34.5 29.3 23.7 17.9

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12.313 12.250

Fy = 50 ksi

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

*Slender element section. Diameter-Thickness ratio exceeds AISC "Specification" Section B5.1 limiting value of 3300/Fy.

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

19.5 15.8 12.0 10.0 8.06 6.05 15.0 11.1 7.70

278 229 178 151 122 92.9 199 151 106

3.78 3.82 3.86 3.88 3.90 3.92 3.64 3.68 3.72

0.395 0.388 0.379 0.373 0.372 0.366 0.405 0.395 0.390

41.5 34.2 26.6 22.5 18.2 13.9 29.7 22.5 15.8

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0.625 0.500 0.375 0.312 0.250 0.188 0.500 0.365 0.250

70.92 57.41 43.56 36.45 29.37 22.21 54.74 40.48 28.04

0.581 0.465 0.349 0.291 0.233 0.174 0.465 0.340 0.233

585 474 360 300 242 182 450 333 231576 467 355 296 238 179 443 328 227571 463 352 293 236 177 439 325 225566 459 348 290 234 176 435 322 223560 454 345 288 232 174 430 318 221

554 449 341 284 229 172 425 315 218547 444 337 281 227 170 419 311 216540 438 333 278 224 168 414 307 213533 432 329 274 221 166 408 302 210525 426 324 270 218 164 402 298 207

517 420 319 266 215 161 395 293 204509 413 314 262 212 159 388 288 200500 406 309 258 208 156 381 283 197491 399 304 254 205 154 374 278 193482 392 298 249 201 151 367 272 189

472 384 293 244 197 148 359 266 186463 376 287 239 193 145 351 261 182452 368 281 234 189 142 342 255 177442 360 275 229 185 139 334 248 173431 351 268 224 181 136 325 242 169

420 342 262 219 177 133 316 236 164409 333 255 213 172 130 307 229 160397 324 248 207 168 126 298 222 155385 315 241 201 163 123 288 215 150373 305 234 195 158 119 278 208 145

361 295 226 189 153 116 268 200 140348 285 219 183 148 112 257 193 135335 275 211 177 143 108 247 185 130322 264 203 170 138 104 236 177 124308 253 195 163 132 100 224 169 119

294 242 186 156 127 96 213 160 113280 230 178 149 121 92 201 152 107265 219 169 142 116 88 189 143 101250 207 160 135 110 83 178 135 96236 195 151 127 104 79 168 127 90

223 184 143 120 98 74 159 120 85211 175 135 114 93 70 151 114 81200 166 128 108 88 67 143 108 77190 157 122 103 84 63 136 102 73181 149 116 98 79 60 129 97 69

11.250 10.750

Fy = 50 ksi

111

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

112

17.2 13.9 10.6 8.88 7.15 5.37 13.4 10.2 8.53 6.87 5.17

191 159 123 105 85.3 64.8 141 110 93.0 75.9 57.7

3.34 3.38 3.41 3.43 3.45 3.47 3.24 3.28 3.30 3.32 3.34

0.450 0.437 0.431 0.423 0.419 0.414 0.457 0.446 0.441 0.436 0.431

28.5 23.7 18.4 15.7 12.7 9.68 21.1 16.4 13.9 11.3 8.62

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0.625 0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.312 0.250 0.188

62.58 50.73 38.55 32.28 26.03 19.70 48.73 37.05 31.03 25.03 18.95

0.581 0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174

516 417 318 266 215 161 402 306 256 206 155507 410 313 262 211 158 395 301 251 203 152502 406 310 259 209 157 391 298 249 200 151496 401 306 257 207 155 386 294 246 198 149490 397 303 254 204 153 381 290 243 196 147

484 391 299 250 202 152 376 287 240 193 145477 386 295 247 199 149 370 282 236 190 143470 380 290 243 196 147 364 278 233 187 141462 374 286 239 193 145 358 273 229 184 139454 368 281 235 190 143 352 268 225 181 136

445 361 276 231 186 140 345 263 220 178 134437 354 270 227 183 138 338 258 216 174 131428 347 265 222 179 135 330 252 211 170 129418 339 259 218 176 132 322 246 206 167 126408 331 253 213 172 129 314 240 202 163 123

398 323 247 208 168 126 306 234 196 159 120388 315 241 203 163 123 298 228 191 154 116377 306 235 197 159 120 289 221 186 150 113366 298 228 192 155 117 280 214 180 146 110354 288 221 186 150 113 270 207 174 141 106

342 279 214 180 146 110 261 200 168 136 103330 269 207 174 141 106 251 193 162 131 99318 260 200 168 136 103 241 185 156 126 96305 250 192 162 131 99 230 178 149 121 92292 239 184 155 126 95 219 170 143 116 88

279 228 176 149 120 91 208 161 136 110 84265 218 168 142 115 87 197 153 129 105 80251 206 159 135 109 83 185 144 122 99 75236 195 151 128 104 79 173 135 114 93 71221 183 142 120 98 74 162 126 107 87 66

207 171 133 113 92 70 152 118 100 82 62194 161 125 106 86 65 142 111 94 77 58183 151 117 99 81 62 134 104 88 72 55172 142 111 94 76 58 126 98 83 68 52162 134 104 88 72 55 119 93 79 64 49

154 127 99 84 68 52 113 88 74 61 46145 120 93 79 64 49 107 83 70 57 44138 114 89 75 61 46 101 79 67 54 41131 108 84 71 58 44 96 75 63 52 39124 103 80 68 55 42 91 71 60 49 37

10.000 9.625

Fy = 50 ksi

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

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Fy = 50 ksi

8.750 8.625 7.625

0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.322 0.250 0.188 0.375 0.328 0.125

44.06 33.54 28.12 22.70 17.19 43.39 33.04 28.55 22.36 16.94 29.04 25.56 10.01

0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.300 0.233 0.174 0.349 0.305 0.166

363 276 232 187 141 357 272 236 184 139 239 210 82356 271 227 183 138 350 267 231 181 136 234 206 80352 268 225 181 136 346 264 228 178 134 231 203 79347 264 222 179 135 341 260 225 176 133 227 199 78342 260 219 176 133 336 256 222 174 131 223 196 77

336 256 215 174 131 330 252 218 171 129 219 192 75331 252 212 171 129 324 248 215 168 127 214 188 74324 247 208 168 126 318 243 211 165 124 209 184 72318 243 204 164 124 312 238 206 162 122 204 179 71311 237 200 161 121 305 233 202 158 119 199 175 69

304 232 195 157 119 298 228 197 155 117 193 170 67296 226 190 154 116 290 222 193 151 114 187 164 65288 221 186 150 113 282 216 188 147 111 181 159 63280 215 181 146 110 274 210 182 143 108 174 153 61272 208 175 142 107 266 204 177 139 105 167 147 59

263 202 170 137 104 257 197 171 135 102 160 141 56254 195 164 133 100 248 191 166 130 98 153 135 54245 188 159 128 97 239 184 160 125 95 146 128 51235 181 153 124 94 229 176 153 121 91 138 122 49225 174 147 119 90 219 169 147 116 88 130 115 46

215 166 140 114 86 209 161 141 111 84 122 107 44205 158 134 109 82 198 153 134 105 80 113 100 41194 150 127 103 78 187 145 127 100 76 104 92 38183 142 120 98 74 176 137 120 95 72 96 85 35171 133 113 92 70 164 128 112 89 68 88 78 32

159 124 106 86 66 152 119 105 83 63 81 72 30148 116 98 80 61 141 111 97 77 59 76 67 28137 107 91 75 57 131 103 90 72 55 70 62 26128 100 85 70 53 123 96 84 67 51 65 58 24120 94 80 65 50 115 90 79 62 48 61 54 22

112 88 75 61 46 107 84 74 58 45 57 51 21105 82 70 57 44 101 79 69 55 42 54 48 2099 77 66 54 41 95 74 65 52 39 51 45 1893 73 62 51 39 89 70 61 49 37 48 42 1788 69 59 48 36 84 66 58 46 35 45 40 16

83 65 55 45 34 80 62 55 43 33 43 38 1679 62 52 43 33 75 59 52 41 31 40 36 1575 58 50 41 31 71 56 49 39 30 38 34 1471 55 47 38 29 68 53 47 37 28 36 32 1367 53 45 37 28 64 50 44 35 27 34 30 13

12.1 9.21 7.73 6.23 4.69 11.9 9.07 7.85 6.14 4.62 7.98 7.01 2.74

104 81.4 69.3 56.6 43.1 99.5 77.8 68.1 54.1 41.3 52.9 47.1 19.3

2.93 2.97 2.99 3.01 3.03 2.89 2.93 2.95 2.97 2.99 2.58 2.59 2.66

0.509 0.495 0.488 0.482 0.476 0.516 0.503 0.497 0.489 0.482 0.575 0.567 0.541

15.5 12.2 10.3 8.45 6.44 14.9 11.6 10.2 8.08 6.17 7.90 7.03 2.88

113

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

114

10.3 7.84 6.59 5.32 4.00 9.55 7.29 6.13 4.95 3.73 2.51

63.9 50.2 42.9 35.2 26.9 51.2 40.4 34.6 28.4 21.7 14.9

2.49 2.53 2.55 2.57 2.59 2.32 2.35 2.37 2.39 2.41 2.43

0.604 0.586 0.593 0.567 0.558 0.653 0.632 0.620 0.610 0.602 0.590

9.54 7.50 6.41 5.26 4.02 7.65 6.03 5.17 4.24 3.24 2.23

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0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.312 0.250 0.188 0.125

37.38 28.54 23.95 19.36 14.68 34.71 26.53 22.29 18.02 13.68 9.18

0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174 0.116

309 235 198 160 120 287 219 184 149 112 75302 230 193 156 117 279 213 179 145 109 73297 226 190 154 116 275 210 176 143 107 72292 223 187 151 114 270 206 173 140 106 71287 219 184 149 112 264 202 170 137 104 70

281 214 180 146 110 258 197 166 134 101 68275 210 176 143 107 252 193 162 131 99 67268 205 172 139 105 245 187 158 128 96 65261 200 168 136 102 238 182 153 124 94 63254 194 163 132 100 230 176 149 120 91 61

246 188 159 128 97 222 170 144 116 88 59238 182 154 124 94 214 164 138 112 85 57229 176 148 120 91 205 157 133 108 82 55220 169 143 116 87 196 151 127 103 78 53211 162 137 111 84 186 143 121 99 75 51

202 155 131 107 81 176 136 115 94 71 48192 148 125 102 77 166 128 109 89 67 46182 140 119 97 73 155 120 102 83 63 43171 133 112 92 69 144 112 95 78 59 40160 124 106 86 65 133 104 88 72 55 38

149 116 99 81 61 121 95 81 66 51 35137 107 91 75 57 110 86 74 61 46 32125 98 84 69 53 101 79 67 55 42 29115 90 77 63 48 93 72 62 51 39 27106 83 71 58 45 85 67 57 47 36 25

98 77 66 54 41 79 62 53 43 33 2391 71 61 50 38 73 57 49 40 31 2184 66 57 46 35 68 53 46 37 29 2079 62 53 43 33 63 50 42 35 27 1874 58 49 40 31 59 46 40 33 25 17

69 54 46 38 29 55 43 37 31 23 1665 51 43 36 27 52 41 35 29 22 1561 48 41 33 26 49 38 33 27 21 1457 45 38 32 24 46 36 31 25 19 1354 42 36 30 23 44 34 29 24 18 13

51 40 34 28 21 41 32 28 23 17 1248 38 32 27 20 39 30 26 21 16 1146 36 31 25 19 37 29 25 20 16 1144 34 29 24 18 ==== 27 23 19 15 1041 33 28 23 17 ==== ==== ==== 14 10

7.500 7.000

Fy = 50 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

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6.875 6.625

0.500 0.375 0.312 0.250 0.188 0.500 0.432 0.375 0.312 0.280 0.250 0.188 0.125

34.04 26.03 21.87 17.69 13.43 32.71 28.57 25.03 21.04 18.97 17.02 12.92 8.68

0.465 0.349 0.291 0.233 0.174 0.465 0.403 0.349 0.291 0.261 0.233 0.174 0.116

281 215 181 146 110 270 236 206 174 157 140 106 71273 209 176 142 107 263 230 201 169 152 137 103 69269 206 173 140 105 258 226 197 166 150 134 101 68264 202 170 137 103 253 221 194 163 147 132 100 67258 198 167 135 101 247 217 189 159 144 129 97 65

252 193 163 132 99 241 211 185 156 140 126 95 64246 189 159 128 97 234 206 180 152 137 123 93 62239 183 154 125 94 227 199 175 147 133 119 90 61231 178 150 121 92 220 193 169 143 129 116 87 59224 172 145 118 89 212 186 163 138 124 112 84 57

216 166 140 114 86 204 179 157 133 120 108 81 55207 160 135 109 83 195 172 150 127 115 103 78 53198 153 129 105 79 186 164 144 122 110 99 75 51189 146 124 100 76 176 155 137 116 105 94 71 48179 139 118 96 73 166 147 129 110 99 89 68 46

169 132 112 91 69 156 138 122 103 94 84 64 43159 124 105 86 65 145 129 114 97 88 79 60 41148 116 98 80 61 134 119 105 90 82 74 56 38137 107 91 75 57 123 109 97 83 75 68 52 35125 99 84 69 53 111 99 88 75 69 62 48 32

113 90 77 63 48 101 90 80 68 62 56 43 29103 82 70 58 44 92 82 73 62 57 51 39 2795 75 64 53 40 84 75 66 57 52 47 36 2587 69 59 48 37 77 69 61 52 48 43 33 2380 63 54 45 34 71 63 56 48 44 40 30 21

74 59 50 41 32 66 59 52 45 41 37 28 1969 54 46 38 29 61 54 48 41 38 34 26 1864 51 43 36 27 57 50 45 38 35 32 24 1759 47 40 33 25 53 47 42 36 33 29 23 1556 44 38 31 24 49 44 39 33 30 28 21 14

52 41 35 29 22 46 41 37 31 29 26 20 1449 39 33 27 21 43 39 34 29 27 24 19 1346 36 31 26 20 41 36 32 28 25 23 17 1243 34 29 24 18 38 34 30 26 24 21 16 1141 32 28 23 17 36 32 29 25 22 20 16 11

39 31 26 21 16 34 31 27 23 21 19 15 1037 29 25 20 16 ==== ==== 26 22 20 18 14 9

==== 27 23 19 15 ==== ==== ==== ==== 13 9==== ==== 18 14 ==== ====

==== ====

9.36 7.16 6.02 4.86 3.66 9.00 7.88 6.88 5.79 5.22 4.68 3.53 2.37

48.3 38.2 32.7 26.8 20.6 42.9 38.3 34.0 29.1 26.5 23.9 18.4 12.6

2.27 2.31 2.33 2.35 2.37 2.18 2.20 2.22 2.24 2.25 2.26 2.28 2.30

0.666 0.644 0.633 0.623 0.611 0.695 0.682 0.670 0.659 0.653 0.649 0.635 0.623

7.21 5.70 4.88 4.00 3.08 6.41 5.72 5.08 4.35 3.96 3.57 2.75 1.88

115

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

116

0.500 0.375 0.312 0.250 0.188 0.500 0.375 0.312 0.280 0.250 0.188 0.125

30.04 23.03 19.37 15.69 11.92 29.37 22.53 18.95 17.11 15.35 11.67 7.84

0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.261 0.233 0.174 0.116

248 190 160 129 98 243 186 157 141 127 95 64241 184 155 126 95 235 180 152 137 123 93 62236 181 152 123 93 230 177 149 134 120 91 61231 177 149 121 91 225 173 146 131 118 89 60225 172 145 118 89 219 168 142 128 115 87 58

218 168 141 114 86 213 164 138 125 112 84 57212 163 137 111 84 206 158 134 121 108 82 55204 157 133 107 81 198 153 129 117 105 79 53196 151 128 104 78 190 147 124 112 101 76 51188 145 123 100 75 182 141 119 108 97 73 49

180 139 118 95 72 173 134 114 103 92 70 47171 132 112 91 69 164 127 108 98 88 67 45161 125 106 86 65 154 120 102 92 83 63 43151 118 100 81 62 144 113 96 87 78 59 40141 110 94 76 58 134 105 89 81 73 56 38

130 102 87 71 54 123 97 83 75 68 52 35119 94 80 65 50 111 88 76 69 62 47 32107 85 73 59 46 99 79 68 62 56 43 3096 76 66 54 41 89 71 61 56 50 39 2787 69 59 48 37 81 64 55 50 46 35 24

79 63 54 44 34 73 58 50 46 41 32 2272 57 49 40 31 67 53 46 42 38 29 2065 52 45 37 28 61 49 42 38 34 26 1860 48 41 34 26 56 45 38 35 32 24 1755 44 38 31 24 52 41 35 32 29 22 15

51 41 35 29 22 48 38 33 30 27 21 1448 38 32 27 20 44 35 30 28 25 19 1344 35 30 25 19 41 33 28 26 23 18 1241 33 28 23 18 38 31 26 24 22 17 1138 31 26 21 17 36 29 25 22 20 16 11

36 29 25 20 15 34 27 23 21 19 15 1034 27 23 19 15 31 25 22 20 18 14 932 25 22 18 14 ==== 24 20 18 17 13 9

==== 24 20 17 13 ==== ==== ==== 16 12 8==== ==== ==== 12 ==== ==== ====

====

8.27 6.33 5.33 4.31 3.25 8.09 6.20 5.22 4.71 4.22 3.18 2.14

33.3 26.5 22.7 18.7 14.4 31.2 24.8 21.3 19.4 17.6 13.5 9.28

2.01 2.05 2.07 2.08 2.10 1.96 2.00 2.02 2.03 2.04 2.06 2.08

0.761 0.732 0.719 0.706 0.691 0.778 0.750 0.735 0.728 0.719 0.707 0.692

4.97 3.96 3.39 2.79 2.15 4.66 3.70 3.18 2.90 2.63 2.02 1.39

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6.125 6.000

Fy = 50 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

5.72 4.03 2.95 2.14 7.36 5.65 3.98

19.5 14.3 10.7 7.90 23.5 18.8 13.8

1.85 1.88 1.91 1.92 1.79 1.83 1.86

0.816 0.784 0.767 0.753 0.861 0.826 0.793

2.91 2.14 1.60 1.18 3.51 2.81 2.06

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0.375 0.258 0.188 0.134 0.500 0.375 0.258

20.78 14.62 10.79 7.77 26.70 20.53 14.44

0.349 0.241 0.174 0.125 0.465 0.349 0.241

172 121 89 64 221 170 119166 117 86 62 213 164 115162 114 84 61 208 160 113158 112 82 59 203 156 110154 108 80 58 197 151 107

149 105 77 56 190 146 104143 101 75 54 183 141 100138 97 72 52 175 135 96132 93 69 50 167 129 92125 89 66 48 158 123 87

118 84 62 45 149 116 83111 79 59 43 139 109 78104 74 55 40 129 101 7396 69 51 37 118 93 6788 63 47 34 107 85 61

79 57 43 31 96 77 5670 51 39 28 85 68 4963 46 34 25 75 61 4456 41 31 23 68 54 4051 37 28 20 61 49 36

46 33 25 19 55 44 3242 31 23 17 51 41 3038 28 21 15 46 37 2735 26 19 14 42 34 2532 24 18 13 39 31 23

30 22 17 12 36 29 2128 20 15 11 34 27 2026 19 14 10 31 25 1824 18 13 10 29 23 1723 16 12 9 ==== 22 16

==== ====15 12 9 15

==== ==== 8 ========

5.563 5.500

Fy = 50 ksi

117

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

118

6.62 5.10 4.30 3.60 3.49 2.64 1.78 4.14 2.97 2.36 1.60

17.2 13.9 12.0 10.2 9.94 7.69 5.31 9.12 6.82 5.54 3.84

1.61 1.65 1.67 1.68 1.69 1.71 1.73 1.48 1.51 1.53 1.55

0.962 0.917 0.896 0.882 0.878 0.858 0.838 1.02 0.980 0.958 0.938

2.57 2.08 1.79 1.52 1.48 1.15 0.793 1.36 1.02 0.827 0.573

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0.500 0.375 0.312 0.258 0.250 0.188 0.125 0.337 0.237 0.188 0.125

24.03 18.52 15.62 13.07 12.68 9.66 6.51 14.98 10.79 8.66 5.84

0.465 0.349 0.291 0.241 0.233 0.174 0.116 0.315 0.221 0.174 0.116

199 153 129 108 105 79 53 124 89 71 48191 147 124 104 101 76 51 119 85 68 46186 143 121 101 98 74 50 115 83 66 45180 139 117 98 95 72 49 111 80 64 43174 134 113 95 92 70 47 107 77 61 42

167 129 109 92 89 67 46 102 73 59 40159 123 105 88 85 65 44 96 70 56 38151 117 100 84 81 62 42 91 66 52 36142 111 94 79 77 59 40 84 61 49 34133 104 89 74 72 55 37 78 57 46 31

123 97 83 69 68 52 35 71 52 42 29113 89 76 64 63 48 33 63 47 38 26102 81 70 59 57 44 30 56 41 34 2391 73 63 53 52 40 27 48 36 29 2079 64 55 47 46 36 24 42 31 25 18

70 56 49 41 40 31 22 37 27 22 1662 50 43 36 36 28 19 33 24 20 1455 44 38 33 32 25 17 29 22 18 1249 40 34 29 29 22 15 26 19 16 1144 36 31 26 26 20 14 24 18 14 10

40 33 28 24 23 18 13 21 16 13 937 30 26 22 21 17 11 19 15 12 834 27 24 20 20 15 10 18 13 11 831 25 22 18 18 14 10 16 12 10 728 23 20 17 17 13 9 ==== 11 9 6

==== ==== ====26 21 18 16 15 12 8

==== 20 17 14 14 11 8==== ==== 13 13 10 7

==== ==== ==== ====

5.000 4.500Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 50 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

3.65 3.39 2.76 2.62 2.51 2.44 2.09 1.42

6.24 5.87 4.91 4.70 4.52 4.41 3.83 2.67

1.31 1.32 1.33 1.34 1.34 1.34 1.35 1.37

1.17 1.16 1.12 1.11 1.11 1.11 1.09 1.06

0.932 0.877 0.733 0.702 0.675 0.659 0.572 0.399

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0.337 0.313 0.250 0.237 0.226 0.220 0.188 0.125

13.18 12.33 10.01 9.52 9.11 8.88 7.65 5.17

0.315 0.291 0.233 0.221 0.211 0.205 0.174 0.116

110 102 83 79 75 73 63 43104 97 79 75 72 70 60 41100 93 76 72 69 67 58 3996 89 73 69 66 64 55 3891 85 69 66 63 61 53 36

86 80 65 62 60 58 50 3480 75 61 58 56 54 47 3274 69 57 54 52 50 43 3068 63 52 49 47 46 40 2761 57 47 45 43 42 36 25

53 50 41 39 38 37 32 2245 43 35 34 32 32 27 1938 36 30 29 28 27 23 1633 31 26 25 24 23 20 1429 27 23 22 21 20 18 12

25 24 20 19 18 18 15 1122 21 18 17 16 16 14 1020 19 16 15 14 14 12 918 17 14 14 13 13 11 816 15 13 12 12 11 10 7

15 14 11 11 11 10 9 6==== 13 10 10 10 9 8 6

==== ==== ==== ==== ==== ==== ====

4.000Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 50 ksi

119

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Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

120

3.81 3.70 3.21 2.84 2.70 2.52 1.77

1.14 1.14 1.16 1.17 1.17 1.18 1.20

1.35 1.34 1.30 1.28 1.28 1.26 1.19

0.569 0.553 0.479 0.424 0.403 0.376 0.264

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0.313 0.300 0.250 0.216 0.203 0.188 0.125

10.65 10.25 8.68 7.58 7.15 6.65 4.51

0.291 0.280 0.233 0.201 0.189 0.174 0.116

88 85 72 62 59 55 3783 80 67 59 56 51 3579 76 65 56 53 49 3375 72 61 53 51 47 3270 68 58 50 48 44 30

65 63 53 47 44 41 2859 57 49 43 41 38 2653 51 44 39 37 34 2347 45 39 34 32 30 2139 38 33 29 28 26 18

33 32 28 24 23 22 1527 26 23 21 19 18 1323 23 20 17 17 16 1120 19 17 15 14 13 918 17 15 13 12 12 8

15 15 13 12 11 10 714 13 12 10 10 9 612 12 10 9 9 8 611 11 9 8 8 7 5

==== ==== ==== ==== ==== ==== 5====

2.93 2.83 2.39 2.08 1.97 1.82 1.23

3.500Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 50 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

0.300 0.250 0.216 0.203 0.188 0.152 0.134 0.120 0.250 0.203 0.188 0.125

8.65 7.34 6.42 6.06 5.65 4.62 4.10 3.69 7.01 5.79 5.40 3.67

0.280 0.233 0.201 0.189 0.174 0.142 0.125 0.112 0.233 0.189 0.174 0.116

72 61 53 50 46 38 34 31 58 48 44 3066 56 49 47 43 35 32 28 53 44 41 2863 53 47 44 41 34 30 27 50 42 39 2758 50 44 41 38 31 28 25 47 39 36 2553 46 40 38 35 29 26 23 43 35 33 23

48 41 36 34 32 26 24 21 38 32 30 2042 36 32 30 28 23 21 19 33 28 26 1836 31 27 26 24 20 18 16 27 23 22 1529 25 22 21 20 17 15 14 22 18 17 1223 20 18 17 16 13 12 11 18 15 14 10

19 17 15 14 13 11 10 9 15 12 12 816 14 13 12 11 9 8 8 12 10 10 714 12 11 10 9 8 7 7 10 9 8 612 10 9 9 8 7 6 6 9 8 7 510 9 8 8 7 6 5 5 8 7 6 4

==== ==== ====9 8 7 7 6 5 5 4 4

==== ==== ==== ==== ==== ==== 4 4 ======== ====

2.39 2.03 1.77 1.67 1.54 1.27 1.13 1.02 1.93 1.59 1.48 1.01

2.24 1.95 1.74 1.66 1.55 1.30 1.17 1.06 1.70 1.45 1.35 0.958

0.967 0.982 0.992 0.996 1.00 1.01 1.02 1.02 0.938 0.952 0.957 0.976

1.60 1.56 1.53 1.51 1.49 1.47 1.45 1.44 1.63 1.58 1.58 1.52

0.335 0.291 0.260 0.248 0.231 0.194 0.175 0.158 0.254 0.217 0.202 0.143

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3.000 2.875Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 50 ksi

121

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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Area, In.2

I, In. 4

r, In.

B, Bending Factor

a ÷ 10 6

122

1.66 1.27 0.87 1.57 1.39 1.20 1.00 0.82 0.75 0.62

1.08 0.865 0.619 0.910 0.827 0.733 0.627 0.527 0.293 0.184

0.806 0.825 0.844 0.762 0.771 0.781 0.791 0.800 0.626 0.543

1.92 1.84 1.76 2.05 2.00 1.94 1.89 1.85 2.43 2.80

0.161 0.129 0.092 0.136 0.123 0.109 0.094 0.079 0.044 0.027

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0.250 0.188 0.125 0.250 0.218 0.188 0.154 0.125 0.145 0.140

6.01 4.64 3.17 5.67 5.02 4.39 3.65 3.00 2.72 2.27

0.233 0.174 0.116 0.233 0.204 0.174 0.143 0.116 0.135 0.130

50 38 26 47 42 36 30 25 23 1945 35 24 42 38 32 27 22 20 1642 32 22 39 35 30 25 21 17 1338 29 20 35 31 27 23 19 15 1133 26 18 30 27 24 20 16 12 8

28 22 16 25 23 20 17 14 8 523 18 13 19 17 15 13 11 6 417 14 10 15 13 12 10 9 5 314 11 8 12 11 9 8 7 4 211 9 6 9 9 8 6 5 3 ====

====9 7 5 8 7 6 5 48 6 4 7 6 5 5 47 5 4 ==== ==== 4 4 3

==== ==== 3 ==== ==== ========

2.500 2.375 1.900 1.660Nominal Outside Diameter

Wall Thickness

Weight Per Foot

Design Wall Thickness

Fy = 50 ksi

Note: Double Horizontal Line indicates k l/r limit of 200.

Fy=50HSS / RoundStructural Steel TubingAllowable Concentric Loads in Kips ERW

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123

HSS / Structural Steel TubingNOTES

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124

Kl Far (ksi)

1 25.152 25.103 25.054 24.995 24.94

6 24.887 24.828 24.769 24.70

10 24.63

11 24.5712 24.5013 24.4314 24.3615 24.29

16 24.2217 24.1518 24.0719 24.0020 23.92

21 23.8422 23.7623 23.6824 23.5925 23.51

26 23.4227 23.3328 23.2429 23.1530 23.06

31 22.9732 22.8833 22.7834 22.6935 22.59

36 22.4937 22.3938 22.2939 22.1940 22.08

41 21.9842 21.8743 21.7744 21.6645 21.55

46 21.4447 21.3348 21.2249 21.1050 20.99

Kl Far (ksi)

51 20.8752 20.7653 20.6454 20.5255 20.40

56 20.2857 20.1658 20.0359 19.9160 19.79

61 19.6662 19.5363 19.4064 19.2765 19.14

66 19.0167 18.8868 18.7569 18.6170 18.48

71 18.3472 18.2073 18.0674 17.9275 17.78

76 17.6477 17.5078 17.3579 17.2180 17.06

81 16.9282 16.7783 16.6284 16.4785 16.32

86 16.1787 16.0188 15.8689 15.7190 15.55

91 15.3992 15.2393 15.0794 14.9195 14.75

96 14.5997 14.4398 14.2699 14.09

100 13.93

Kl Far (ksi)

101 13.76102 13.59103 13.42104 13.25105 13.08

106 12.90107 12.73108 12.55109 12.37110 12.19

111 12.01112 11.83113 11.65114 11.47115 11.28

116 11.10117 10.91118 10.72119 10.55120 10.37

121 10.20122 10.03123 9.87124 9.71125 9.56

126 9.41127 9.26128 9.11129 8.97130 8.84

131 8.70132 8.57133 8.44134 8.32135 8.19

136 8.07137 7.96138 7.84139 7.73140 7.62

141 7.51142 7.41143 7.30144 7.20145 7.10

146 7.01147 6.91148 6.82149 6.73150 6.64

Kl Far (ksi)

151 6.55152 6.46153 6.38154 6.30155 6.22

156 6.14157 6.06158 5.98159 5.91160 5.83

161 5.76162 5.69163 5.62164 5.55165 5.49

166 5.42167 5.35168 5.29169 5.23170 5.17

171 5.11172 5.05173 4.99174 4.93175 4.88

176 4.82177 4.77178 4.71179 4.66180 4.61

181 4.56182 4.51183 4.46184 4.41185 4.36

186 4.32187 4.27188 4.23189 4.18190 4.14

191 4.09192 4.05193 4.01194 3.97195 3.93

196 3.89197 3.85198 3.81199 3.77200 3.73

Kl Far (ksi)

1 27.542 27.483 27.424 27.365 27.30

6 27.237 27.168 27.099 27.02

10 26.95

11 26.8712 26.7913 26.7214 26.6315 26.55

16 26.4717 26.3818 26.2919 26.2120 26.11

21 26.0222 25.9323 25.8324 25.7325 25.64

26 25.5427 25.4328 25.3329 25.2330 25.12

31 25.0132 24.9033 24.7934 24.6835 24.56

36 24.4537 24.3338 24.2139 24.1040 23.97

41 23.8542 23.7343 23.6044 23.4845 23.35

46 23.2247 23.0948 22.9649 22.8350 22.69

Kl Far (ksi)

51 22.5652 22.4253 22.2854 22.1455 22.00

56 21.8657 21.7258 21.5759 21.4360 21.28

61 21.1362 20.9863 20.8364 20.6865 20.53

66 20.3767 20.2268 20.0669 19.9070 19.74

71 19.5872 19.4273 19.2674 19.1075 18.93

76 18.7677 18.6078 18.4379 18.2680 18.08

81 17.9182 17.7483 17.5684 17.3985 17.21

86 17 0387 16.8588 16.6789 16.4890 16.30

91 16.1292 15.9393 15.7494 15.5595 15.36

96 15.1797 14.9798 14.7899 14.58

100 14.39

Kl Far (ksi)

101 14.19102 13.99103 13.79104 13.58105 13.38

106 13.17107 12.96108 12.75109 12.54110 12.33

111 12.12112 11.90113 11.69114 11.49115 11.29

116 11.10117 10.91118 10.72119 10.55120 10.37

121 10.20122 10.03123 9.87124 9.71125 9.56

126 9.41127 9.26128 9.11129 8.97130 8.84

131 8.70132 8.57133 8.44134 8.32135 8.19

136 8.07137 7.96138 7.84139 7.73140 7.62

141 7.51142 7.41143 7.30144 7.20145 7.10

146 7.01147 6.91148 6.82149 6.73150 6.64

Kl Far (ksi)

151 6.55152 6.46153 6.38154 6.30155 6.22

156 6.14157 6.06158 5.98159 5.91160 5.83

161 5.76162 5.69163 5.62164 5.55165 5.49

166 5.42167 5.35168 5.29169 5.23170 5.17

171 5.11172 5.05173 4.99174 4.93175 4.88

176 4.82177 4.77178 4.71179 4.66180 4.61

181 4.56182 4.51183 4.46184 4.41185 4.36

186 4.32187 4.27188 4.23189 4.18190 4.14

1 91 4.091 92 4.051 93 4.011 94 3.971 95 3.93

1 96 3.891 97 3.85198 3.81199 3.77200 3.73

Note: CC=116.7 Note: CC=111.6

Fy = 42 ksiminimum specified yield stress steel

Fy= 46 ksiminimum specified yield stress steel

HSS / Structural Steel TubingAllowable Stresses for Compression Members

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Kl Far (ksi)

1 29.942 29.873 29.804 29.735 29.66

6 29.587 29.508 29.429 29.34

10 29.26

11 29.1712 29.0813 28.9914 28.9015 28.80

16 28.7117 28.6118 28.5119 28.4020 28.30

21 28.1922 28.0823 27.9724 27.8625 27.75

26 27.6327 27.5228 27.4029 27.2830 27.15

31 27.0332 26.9033 26.7734 26.6435 26.51

36 26.3837 26.2538 26.1139 25.9740 25.83

41 25.6942 25.5543 25.4044 25.2645 25.11

46 24.9647 24.8148 24.6649 24.5150 24.35

Kl Far (ksi)

51 24.1952 24.0453 23.8854 23.7255 23.55

56 23.3957 23.2258 23.0659 22.8960 22.72

61 22.5562 22.3763 22.2064 22.0265 21.85

66 21.6767 21.4968 21.3169 21.1270 20.94

71 20.7572 20.5673 20.3874 20.1975 19.99

76 19.8077 19.6178 19.4179 19.2180 19.01

81 18.8182 18.6183 18.4184 18.2085 17.99

86 17.7987 17.5888 17.3789 17.1590 16.94

91 16.7292 16.5093 16.2994 16.0695 15.84

96 15.6297 15.3998 15.1799 14.94

100 14.71

Kl Far (ksi)

101 14.47102 14.24103 14.00104 13.77105 13.53

106 13.29107 13.04108 12.80109 12.57110 12.34

111 12.12112 11.90113 11.69114 11.49115 11.29

116 11.10117 10.91118 10.72119 10.55120 10.37

121 10.20122 10.03123 9.87124 9.71125 9.56

126 9.41127 9.26128 9.11129 8.97130 8.84

131 8.70132 8.57133 8.44134 8.32135 8.19

136 8.07137 7.96138 7.84139 7.73140 7.62

141 7.51142 7.41143 7.30144 7.20145 7.10

146 7.01147 6.91148 6.82149 6.73150 6.64

Kl Far (ksi)

151 6.55152 6.46153 6.38154 6.30155 6.22

156 6.14157 6.06158 5.98159 5.91160 5.83

161 5.76162 5.69163 5.62164 5.55165 5.49

166 5.42167 5.35168 5.29169 5.23170 5.17

171 5.11172 5.05173 4.99174 4.93175 4.88

176 4.82177 4.77178 4.71179 4.66180 4.61

181 4.56182 4.51183 4.46184 4.41185 4.36

186 4.32187 4.27188 4.23189 4.18190 4.14

191 4.09192 4.05193 4.01194 3.97195 3.39

196 3.89197 3.85198 3.81199 3.77200 3.73

Kl Far (ksi)

1 35.922 35.833 35.744 35.645 35.54

6 35.447 35.348 35.239 35.12

10 35.01

11 34.8912 34.7713 34.6514 34.5215 34.40

16 34.2717 34.1318 34.0019 33.8620 33.71

21 33.5722 33.4223 33.2724 33.1225 32.96

26 32.8127 32.6528 32.4829 32.3230 32.15

31 31.9832 31.8133 31.6334 31.4535 31.28

36 31.0937 30.9138 30.7239 30.5340 30.34

41 30.1542 29.9543 29.7544 29.5545 29.35

46 29.1547 28.9448 28.7349 28.5250 28.31

Kl Far (ksi)

51 28.0952 27.8753 27.6654 27.4355 27.21

56 26.9857 26.7658 26.5359 26.2960 26.06

61 25.8262 25.5863 25.3464 25.1065 24.86

66 24.6167 24.3668 24.1169 23.8670 23.60

71 23.3472 23.0873 22.8274 22.5675 22.29

76 22.0277 21.7578 21.4879 21.2180 20.93

81 20.6582 20.3783 20.0984 19.8085 19.51

86 19.2287 18.9388 18.6389 18.3490 18.04

91 17.7392 17.4393 17.1294 16.8195 16.50

96 16.1997 15.8798 15.5599 15.24

100 14.93

Kl Far (ksi)

101 14.64102 14.35103 14.08104 13.81105 13.54

106 13.29107 13.04108 12.80109 12.57110 12.34

111 12.12112 11.90113 11.69114 11.49115 11.29

116 11.10117 10.91118 10.72119 10.55120 10.37

121 10.20122 10.03123 9.87124 9.71125 9.56

126 9.41127 9.26128 9.11129 8.97130 8.84

131 8.70132 8.57133 8.44134 8.32135 8.19

136 8.07137 7.96138 7.84139 7.73140 7.62

141 7.51142 7.41143 7.30144 7.20145 7.10

146 7.01147 6.91148 6.82149 6.73150 6.64

Kl Far (ksi)

151 6.55152 6.46153 6.38154 6.30155 6.22

156 6.14157 6.06158 5.98159 5.91160 5.83

161 5.76162 5.69163 5.62164 5.55165 5.49

166 5.42167 5.35168 5.29169 5.23170 5.17

171 5.11172 5.05173 4.99174 4.93175 4.88

176 4.82177 4.77178 4.71179 4.66180 4.61

181 4.56182 4.51183 4.46184 4.41185 4.36

186 4.32187 4.27188 4.23189 4.18190 4.14

191 4.091 92 4.051 93 4.011 94 3.971 95 3.93

1 96 3.891 97 3.851 98 3.811 99 3.77200 3.73

Note: CC=107.0 Note: CC=97.7

Fy= 50 ksiminimum specified yield stress steel

Fy= 60 ksiminimum specified yield stress steel

125

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126

Kl Far (ksi)

1 38.902 38.813 38.704 38.595 38.48

6 38.377 38.258 38.139 38.00

10 37.87

11 37.7412 37.6113 37.4714 37.3215 37.18

16 37.0317 36.8718 36.72l 9 36.5620 36.40

21 36.2322 36.0623 35.8924 35.7125 35.54

26 35.3627 35.1728 34.9929 34.8030 34.60

31 34.4132 34.2133 34.0134 33.8135 33.60

36 33.3937 33.1838 32.9639 32.7540 32.53

41 32.3042 32.0843 31.8544 31.6245 31.39

46 31.3547 30.9248 30.6849 30.4350 30.19

Kl Far (ksi)

51 29.9452 29.6953 29.4454 29.1855 28.92

56 28.6657 28.4058 28.1459 27.8760 27.60

61 27.3362 27.0563 26.7864 26.5065 26.21

66 25.9367 25.6468 25.3569 25.0670 24.76

71 24.4772 24.1773 23.8774 23.5675 23.25

76 22.9477 22.6378 22.3279 22.0080 21.68

81 21.3682 21.0383 20.7084 20.3785 20.04

86 19.7087 19.3688 19.0289 18.6790 18.32

91 17.9792 17.6293 17.2694 16.9095 16.55

96 16.2097 15.8798 15.5599 15.24

100 14.93

Kl Far (ksi)

101 14.64102 14.35103 14.08104 13.81105 13.54

106 13.29107 13.04108 12.80109 12.57110 12.34

111 12.12112 11.90113 11.69114 11.49115 11.29

116 11.10117 10.91118 10.72119 10.55120 10.37

121 10.20122 10.03123 9.87124 9.71125 9.56

126 9.41127 9.26128 9.11129 8.97130 8.84

131 8.70132 8.57133 8.44134 8.32135 8.19

136 8.07137 7.96138 7.84139 7.73140 7.62

141 7.51142 7.41143 7.30144 7.20145 7.10

146 7.01147 6.91148 6.82149 6.73150 6.64

Kl Far (ksi)

151 6.55152 6.46153 6.38154 6.30155 6.22

156 6.14157 6.06158 5.98159 5.91160 5.83

161 5.76162 5.69163 5.62164 5.55165 5.49

166 5.42167 5.35168 5.29169 5.23170 5.17

171 5.11172 5.05173 4.99174 4.93175 4.88

176 4.82177 4.77178 4.71179 4.66180 4.61

181 4.56182 4.51183 4.46184 4.41185 4.36

186 4.32187 4.27188 4.23189 4.18190 4.14

191 4.09192 4.05193 4.01194 3.97195 3.93

196 3.89197 3.85198 3.81199 3.77200 3.73

Kl Far (ksi)

1 41.892 41.783 41.674 41.555 41.42

6 41.297 41.168 41.029 40.88

10 40.73

11 40.5812 40.4313 40.2714 40.1115 39.95

16 39.7817 39.6018 39.4319 39.2520 39.06

21 38.8722 38.6823 38.4924 38.2925 38.09

26 37.8827 37.6728 37.4629 37.2530 37.03

31 36.8032 36.5833 36.3534 36.1235 35.89

36 35.6537 35.4138 35.1639 34.9240 34.67

41 34.4142 34.1643 33.9044 33.6445 33.37

46 33.1047 32.8348 32.5649 32.2850 32.00

Kl Far (ksi)

51 31.7252 31.4453 31.1554 30.8655 30.56

56 30.2757 29.9758 29.6759 29.3660 29.05

61 28.7462 28.4363 28.1164 27.7965 27.47

66 27.1567 26.8268 26.4969 26.1670 25.82

71 25.4872 25.1473 24.7974 24.4475 24.09

76 23.7477 23.3878 23.0279 22.6580 22.29

81 21.9282 21.5483 21.1784 20.7985 20.40

86 20.0287 19.6388 19.2389 18.8390 18.43

91 18.0392 17.6493 17.2794 16.9095 16.55

96 16.2097 15.8798 15.5599 15.24

100 14.93

Kl Far (ksi)

101 14.64102 14.35103 14.08104 13.81105 13.54

106 13.29107 13.04108 12.80109 12.57110 12.34

111 12.12112 11.90113 11.69114 11.49115 11.29

116 11.10117 10.91118 10.72119 10.55120 10.37

121 10.20122 10.03123 9.87124 9.71125 9.56

126 9.41127 9.26128 9.11129 8.97130 8.84

131 8.70132 8.57133 8.44134 8.32135 8.19

136 8.07137 7.96138 7.84139 7.73140 7.62

141 7.51142 7.41143 7.30144 7.20145 7.10

146 7.01147 6.91148 6.82149 6.73150 6.64

Kl Far (ksi)

151 6.55152 6.46153 6.38154 6.30155 6.22

156 6.14157 6.06158 5.98159 5.91160 5.83

161 5.76162 5.69163 5.62164 5.55165 5.49

166 5.42167 5.35168 5.29169 5.23170 5.17

171 5.11172 5.05173 4.99174 4.93175 4.88

176 4.82177 4.77178 4.71179 4.66180 4.61

181 4.56182 4.51183 4.46184 4.41185 4.36

186 4.32187 4.27188 4.23189 4.18190 4.14

191 4.091 92 4.051 93 4.011 94 3.971 95 3.93

1 96 3.891 97 3.851 98 3.811 99 3.77200 3.73

Note: CC=93.8 Note: CC=90.4

Fy= 65 ksiminimum specified yield stress steel

Fy= 70 ksiminimum specified yield stress steel

HSS / Structural Steel TubingAllowable Stresses for Compression Members

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127

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18M 7/97

AmericanIron and SteelInstitute

Steel Tube Institute of North America, 8500 Station Street, Suite 270, Mentor, Ohio 44060 • Tel: (440) 974-6990 • Fax: (440) 974-6994E-mail: [email protected]

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