Engineering Data Manual - Independence · PDF fileCall your Account Representative for floor stock availability or go on-line at . ASTM A500 All Independence Tube structural tubing

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Engineering Data Manual

INDEPENDENCE TUBE CORPORATION founded in 1972, is a leading manufacturer of square, rectangular and round structural steel tubing. Independence Tube produces structural steel tubing from prime steel on the most advanced tube mill equipment in the industry. High frequency welding techniques assure the ultimate in weld integrity. Structural steel tubing’s ease of fabrication, high strength and pleasing appearance make it a “First Choice” material. Potential applications are as unlimited as the designer’s imagination.

Independence Tube began in a 53,000 square foot facility located on the southwest side of Chicago. Today, we operate two Divisions in Illinois (Chicago and Marseilles) and our third manufacturing facility (opened in August of 2006) in Decatur, Alabama. Combined operations comprise over 1.3 million square feet under roof and over 70 acres of property.

INDEPENDENCE TUBE produces steel tubing to ASTM A500, ASTM A252 and ASTM A513.

Sizes offered are:

ROUNDS – 1.66" OD x .109" wall through 16" OD x .625" wall

SQUARES – 2" SQ x .109" wall through 12" SQ x .625" wall

RECTANGLES – 2½" x 1½" x .125" wall through 16" x 8" x .625" wall

VALUE ADDED SERVICES offered are:

I.D. flash removal HSLA grades Domex© In–house band saw cutting

Pickled and oiled Weld on the short side Special tolerances Mitre cutting

ROLLING SCHEDULE With a yearly published on-time rolling schedule second to none in the industry, you can manage your inventory more closely, knowing that material will be ready when promised. Independence Tube also offers Vendor Managed Inventory (VMI), Electronic Data Interchange (EDI) and bar coding; all of which have become very important services in the management of inventory and communications.

WWW.INDEPENDENCETUBE.COM / WWW.ITCTUBE.COM The next time you are on-line, please take a moment to visit our new web site. There you will find our Company history and product information downloads. In addition, www.itctube.com is our 24/7 on-line Customer Secure Portal which will allow you to view inventory, place orders and inquiries, release loads and view and download open order reports and test reports.

INDEPENDENCE TUBE is an active member of the American Institute of Steel Construction (AISC) and the Metals Service Center Institute (MSCI), the Farm Equipment Manufacturers Association (FEMA), the Pile Driving Contractors Association (PDCA) and the National Association of Pipe Distributors (NASPD) and its products can be purchased at steel service centers across North America.

6226 West 74th StreetChicago, IL 60638

800–376–6000FAX 708–563–1950

www.independencetube.com

CHICAGO, IL DECATUR, AL MARSEILLES, IL

1

Call your Account Representative for floor stock availability or go on-line at www.independencetube.com.

ASTM A500

All Independence Tube structural tubing is produced in accordance with the mechanical and chemical property requirements of ASTM A500, Grades B & C.

Cold-Formed ERW Round, Square and Rectangular Structural Steel Tubing in Grades B And C.

Chemical Composition Grade B Grade CCarbon, max % 0.26 0.23

Manganese, max % ---- 1.35Phosphorus, max % 0.04 0.04

Sulphur, max % 0.05 0.05Copper, when copper steel is specified, min % 0.20 0.20

Mechanical Properties - Shapes Grade B Grade CTensile Strength, min psi 58,000 62,000Yield Strength, min psi 46,000 50,000Elongation in 2" min 23%* 21%**

*.180" wall and over**.120" wall and over

Mechanical Properties -Rounds Grade B Grade CTensile Strength, min psi 58,000 62,000Yield Strength, min psi 42,000 46,000Elongation in 2" min 23%* 21%**

*.180" wall and over**.120" wall and over

Outside Dimension Tolerances for Square and Rectangle Structural Tubing

Largest Outside Dimension (in) Plus/minus*2½" and under 0.020

2½" to 3½" 0.0253½" to 5½" 0.030

5½" and over 1%

* Tolerance includes allowance for convexity or concavity. For rectangular tubing having a ratio of outside large to small flat dimension less than 1.5, and for square tubing, the tolerance on small flat dimension shall be identical to the large flat dimen-sion tolerance. For rectangular tubing having a ratio of outside large to small flat dimension in the range of 1.5 to 3.9 inclusive, the tolerance on small flat dimension shall be 1.5 times the large flat dimension tolerance. For rectangular tubing having a ratio of outside large to small flat dimension greater than 3.0, the toler-ance on small flat dimension shall be 2.0 times the permissible variations in large flat dimension.

NOTES:Straightness: .025" times the number of ft of total length

Squareness of sides: Deviation from 90˚ by ±2% max

Radius of Corners: The radius of any outside corner shall not exceed 3.0 times the specified wall thickness.

Wall Thickness: ±10% of nominal wall thickness, as measured at the center of the flat.

Specified Outside Large Flat Dimension

Maximum twist in 3 feet

Over 1½" to 2½" 0.062"Over 2½" to 4" 0.075"Over 4" to 6" 0.087"Over 6" to 8" 0.100"

Over 8" 0.112"

Permissible Variations in Twist for Square and Rectangular Structural Tubing

2

Independence Tube produces squares from 2" SQ x .125" wall through 12" SQ x .625" wall to ASTM A500.

CHICAGO:2" SQ through 6" SQWalls from .125" to .375"

MARSEILLES:2" SQ through 10" SQ Walls from .125" to .625"

DECATUR:2½" SQ through 12" SQ Walls from .188" to .625"

In-house band saw cutting available.

Flash removal available on some sizes—contact your Independence Tube Sales Representative for details.

The information presented in this publication has been prepared in accordance with recognized engineering principles and is for general information only. While it is believed to be accurate, this information should not be used or relied upon for any specific application without competent professional examina-tion and verification of its accuracy, suitability and applicability by a licensed professional engineer, designer or architect. The publication of the material contained herein is not intended as a representation or warranty on the part of “Independence Tube Corporation” or of any other person named herein, that this information is suitable use of this information assumes all liability arising from such use. Caution must be exercised when relying upon specifications and codes developed by other bodies and incorporated by reference herein since such material may be modified or amended from time to time subsequent to the printing of this publication. Independence Tube Corporation bears no responsibility for such material other than to refer to it and incorporate it by reference at the time of the initial publication of this edition. To the best of our knowledge, all information contained herein is correct at the time of publica-tion. Independence Tube Corporation does not assume responsibility for errors or oversights resulting from the use of the information contained herein.

HSS Squares

3

Fy=50

ERW

HSS/Square Structural Steel TubingAllowable Concentric Loads in Kips

Nominal Outside 12 X 12 10 X 10 9 x 9

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

Weight per Foot 93.34 76.07 58.10 48.86 39.43 76.33 62.46 47.90 40.35 32.63 24.73 55.66 42.79 36.10 29.23 22.18

Design Wall Thickness 0.581 0.465 0.349 .291* .233* 0.581 0.465 0.349 0.291 .233* .174* 0.465 0.349 0.291 0.233 .174*

Fy = 50 ksi

Eff

ectiv

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ngth

KL

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0 771 627 480 388 275 630 516 396 333 254 162 459 354 298 241 154

2 762 620 474 385 273 621 508 390 328 251 160 451 348 293 237 153

3 757 615 471 383 272 615 504 387 326 250 159 447 345 290 235 152

4 751 611 468 381 271 609 500 384 323 248 158 442 341 287 232 151

5 745 606 464 379 269 603 495 380 319 246 158 438 337 284 230 150

6 739 601 461 377 268 597 489 376 316 245 156 432 333 280 227 148

7 732 586 456 374 267 590 484 372 313 243 155 426 329 277 224 147

8 725 590 452 372 265 285 478 367 309 241 154 419 324 273 221 146

9 718 584 448 369 263 574 471 362 305 238 153 413 319 269 218 144

10 710 578 443 366 262 566 465 357 301 236 152 406 314 264 214 143

11 702 572 439 363 260 558 458 352 296 234 150 399 309 260 211 141

12 694 565 434 360 258 549 451 347 292 231 149 394 303 255 207 140

13 686 559 428 357 256 539 443 341 287 228 148 384 297 250 203 138

14 677 552 423 354 254 530 436 336 283 225 146 376 291 245 199 136

15 668 544 418 350 252 520 428 330 278 222 144 367 285 240 195 134

16 658 537 412 346 249 510 420 324 272 219 143 359 278 235 191 132

17 649 529 406 341 247 99 411 317 267 216 141 350 272 229 186 130

18 639 521 400 336 245 488 402 311 262 212 139 341 265 224 181 128

19 628 513 394 331 242 477 393 304 256 207 137 331 258 218 177 125

20 618 505 388 325 239 466 384 297 250 203 135 322 251 212 172 123

21 607 486 381 320 237 454 375 290 245 198 133 312 243 206 167 120

22 596 487 375 315 234 442 365 283 238 193 131 301 235 199 162 118

23 585 478 368 309 231 429 355 275 232 188 129 291 228 193 157 115

24 573 469 361 303 228 417 345 268 226 183 127 280 219 186 151 112

25 562 460 354 297 225 404 335 260 219 178 124 269 211 179 146 109

26 550 50 347 291 222 390 324 252 213 173 122 258 203 172 140 105

27 537 441 339 285 218 377 313 244 206 167 119 246 194 165 134 102

28 525 431 332 279 215 363 302 236 199 162 116 234 185 157 128 98

29 512 420 324 273 211 349 291 227 182 156 113 222 176 150 122 93

30 499 410 316 266 208 334 279 218 185 150 110 209 166 142 116 89

31 486 399 309 260 204 349 267 209 177 145 107 197 157 134 110 84

32 472 389 300 253 200 304 255 200 170 138 103 184 147 126 103 79

33 459 378 292 246 195 288 243 191 162 132 100 173 138 118 97 74

34 445 367 284 239 191 272 230 181 154 126 96 163 130 112 91 70

35 430 355 275 232 186 257 217 172 146 119 91 154 123 105 86 66

36 416 344 266 225 182 243 205 162 138 113 87 146 116 99 81 62

37 401 332 257 217 177 230 194 154 131 107 82 138 110 94 77 59

38 385 320 248 210 171 218 184 146 124 101 78 131 104 89 73 56

39 370 307 239 202 165 207 175 138 117 96 74 124 99 85 69 53

40 354 295 230 194 158 197 166 131 112 92 70 118 94 81 66 51

PROPERTIES

Area, In² 25.7 20.9 16.0 13.4 10.8 21.0 17.2 13.2 11.10 8.96 6.76 15.30 11.80 9.92 8.03 6.06

I, In4 548 457 357 304 248 304 256 202 172 141 108 182 145 124 102 78

r, In. 4.62 4.68 4.73 4.76 4.79 3.80 3.86 3.92 3.94 3.97 4.00 3.45 3.51 3.54 3.56 3.59

B, Bending Factor 0.281 0.274 0.269 0.264 0.261 0.345 0.336 0.327 0.323 0.318 0.313 0.378 0.366 0.360 0.354 0.349

a ÷ 106 81.8 68.2 53.3 45.4 37.0 45.4 38.2 30.2 25.7 21.1 16.1 27.2 21.7 18.5 15.2 11.7

4

Fy=50

ERW


Nominal Outside 8 X 8 7 X 7 6 X 6 5½ X 5½ 5 X 5 4½ X 4½ 4 X 4

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

Weight per Foot 59.32 48.85 37.69 31.84 25.82 19.63 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 24.93 21.21 17.32 13.25 9.01 28.43 22.37 19.08 15.62 11.97 8.16 19.82 16.96 13.91 10.70 7.31 21.63 17.27 14.83 12.21 9.42 6.46

Design Wall Thickness 0.581 0.465 0.349 0.291 0.233 .174* 0.581 0.465 0.349 0.291 0.233 .174* 0.581 0.650 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 0.465 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 0.485 0.349 0.291 0.233 0.174 0.116

Fy = 50 ksi Fy = 50 ksi

Eff

ectiv

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ngth

KL

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0 492 405 312 263 213 146 420 348 269 228 185 137 351 292 227 193 157 119 69 206 176 143 109 66 236 185 158 129 98 63 164 140 115 88 60 181 143 123 101 77 53

2 482 397 306 258 209 144 410 340 263 223 181 135 341 284 221 188 153 116 68 200 170 139 106 65 228 179 153 125 95 62 158 135 111 85 58 172 137 118 97 74 51

3 477 393 303 255 207 143 405 336 260 220 179 134 335 279 218 185 151 115 67 197 167 137 104 64 223 175 149 122 93 61 154 132 108 83 57 167 133 114 94 72 50

4 471 388 299 252 204 142 398 330 256 217 176 132 328 284 214 181 148 113 66 192 164 134 102 63 217 171 146 119 91 60 150 128 105 80 55 160 128 110 91 70 48

5 464 382 295 249 202 141 381 325 252 213 173 131 311 268 209 178 145 110 65 188 160 131 100 62 211 166 142 116 89 59 145 124 102 78 53 153 123 106 87 67 46

6 457 377 291 245 199 139 384 319 247 209 170 129 313 262 204 174 142 108 64 183 156 127 97 61 204 161 137 113 86 57 139 119 98 75 52 146 117 101 83 64 44

7 449 370 286 241 196 138 376 312 242 205 168 127 304 255 199 169 138 105 63 177 151 124 94 60 197 155 133 109 83 56 133 114 94 72 50 137 111 96 79 61 42

8 441 364 281 237 192 136 367 305 237 201 164 124 295 247 247 165 135 103 62 172 146 120 91 58 188 149 128 105 80 55 127 109 90 69 47 128 104 90 75 58 40

9 432 357 276 233 189 135 358 298 232 196 160 121 285 240 188 160 131 100 61 165 141 116 88 57 180 143 122 101 77 53 120 103 86 66 45 118 97 84 70 54 38

10 423 350 271 228 185 133 348 290 226 192 156 118 275 231 181 155 127 97 60 159 136 111 85 56 171 136 117 96 74 51 113 97 81 62 43 108 89 78 65 50 35

11 414 342 265 224 181 131 338 282 220 187 152 115 264 223 175 149 122 93 58 152 130 107 82 54 161 129 111 91 70 48 105 91 76 58 40 97 81 71 59 46 32

12 404 334 259 219 178 129 328 274 213 181 148 112 253 214 168 143 118 90 57 145 124 102 78 52 151 121 104 86 67 46 97 84 70 54 38 86 72 63 54 42 30

13 394 326 253 214 173 127 317 265 207 176 144 109 241 204 161 138 113 86 55 138 118 97 74 50 141 113 98 81 63 43 89 77 65 50 35 73 63 56 47 38 27

14 383 317 246 208 169 124 306 256 200 170 139 106 228 194 153 131 108 83 54 130 112 92 71 48 130 105 91 76 59 40 80 70 59 46 32 63 54 48 41 33 23

15 372 308 240 203 165 122 294 246 193 164 134 102 215 184 146 125 103 79 52 122 105 86 67 46 118 96 84 70 54 38 70 62 53 41 29 55 47 42 36 29 20

16 361 299 233 197 160 119 281 236 186 158 128 98 202 173 138 118 97 75 50 113 98 81 62 43 106 87 76 64 50 35 62 55 47 36 26 48 41 37 32 25 18

17 349 290 226 191 155 117 269 226 178 152 124 95 188 162 129 111 92 71 48 104 90 75 58 40 94 78 68 57 45 31 55 49 41 32 23 43 37 33 28 22 16

18 337 280 218 185 151 114 256 216 170 145 119 91 173 150 121 104 86 66 45 95 83 69 53 37 84 69 61 51 40 28 49 43 37 29 20 38 33 29 25 20 14

19 324 270 211 179 145 111 242 205 162 138 114 87 158 138 111 96 80 62 43 86 75 62 49 34 75 62 55 46 36 25 44 39 33 26 18 34 29 26 22 18 13

20 311 259 203 172 140 107 228 193 153 131 108 82 143 126 102 89 74 57 39 77 68 56 44 31 68 56 49 42 33 23 40 35 30 23 16 31 26 24 20 16 11

21 298 249 195 166 135 103 213 182 145 124 102 78 130 114 93 81 67 53 36 70 61 51 40 28 61 51 45 38 30 21 36 32 27 21 15 28 24 21 18 15 10

22 284 238 187 159 130 99 198 170 136 117 96 74 118 104 84 74 61 48 33 64 56 46 36 25 56 46 41 34 27 19 33 29 25 19 14 26 22 20 17 13 9

23 270 226 178 152 124 95 183 157 126 109 90 69 108 95 77 67 56 44 30 58 51 42 33 23 51 42 37 31 25 17 30 27 23 18 12 23 20 18 15 12 9

24 255 215 170 145 118 90 168 144 117 101 84 64 99 87 71 62 52 40 28 54 47 39 30 21 47 39 34 29 23 16 28 24 21 16 11 18 16 14 11 8

25 240 203 161 137 112 86 155 133 108 93 77 59 91 80 65 57 48 37 26 49 43 36 28 20 43 36 32 27 21 15 25 22 19 15 11 13 10 7

26 224 190 151 129 106 81 143 123 100 86 72 55 85 74 60 53 44 34 24 46 40 33 26 18 40 33 29 25 19 14 23 21 18 14 10

27 209 177 142 122 100 77 133 114 92 80 66 51 78 69 56 49 41 32 22 42 37 31 24 18 37 31 27 23 18 13 22 19 16 13 9

28 194 165 132 114 93 72 123 106 86 74 62 47 73 64 52 45 38 30 20 39 34 29 22 16 35 29 25 21 17 12 18 15 12 8

29 181 154 123 106 87 67 115 99 80 69 58 44 68 60 49 42 35 28 19 37 32 27 21 15 32 27 23 20 16 11 11 8

30 169 144 115 99 81 63 107 92 75 65 54 41 63 56 45 40 33 26 18 34 30 25 20 14 30 25 22 18 15 10

31 158 135 108 93 76 59 101 87 70 61 50 39 59 52 43 37 31 24 17 32 28 23 18 13 23 20 17 14 10

32 148 126 101 87 71 55 94 81 66 57 47 36 56 49 40 35 29 23 16 30 26 22 17 12 16 13 9

33 140 119 95 82 67 52 89 76 62 53 44 34 52 46 38 33 27 21 15 28 25 21 16 11 8

34 132 112 90 77 63 49 84 72 58 50 42 32 49 43 35 31 26 20 14 27 23 19 15 11

35 124 106 85 73 60 46 79 68 55 48 40 30 47 41 33 29 24 19 13 22 18 14 10

36 117 100 80 69 56 43 75 64 52 45 37 29 44 39 32 27 23 19 12 14 9

37 111 95 76 65 53 41 71 61 49 43 35 27 37 30 26 22 17 12

38 105 90 72 62 51 39 67 58 47 40 34 26 28 25 21 16 11

39 100 85 68 59 48 37 64 55 44 38 32 24 20 15 11

40 95 81 65 56 46 35 60 52 42 36 30 23

PROPERTIES PROPERTIES

Area, In² 16.4 13.5 10.4 8.76 7.10 5.37 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 6.88 5.85 4.77 3.63 2.46 7.88 6.18 5.26 4.30 3.28 2.23 5.48 4.68 3.84 2.93 2.00 6.02 4.78 4.10 3.37 2.58 1.77

I, In4 146 125 99.6 85.6 70.7 54.4 93.3 80.5 64.9 56.1 46.5 36.0 55.1 48.2 39.4 34.3 28.6 22.3 15.5 29.7 25.9 21.7 17.0 11.8 26.0 21.7 19.0 16.0 12.6 8.8 15.3 13.5 11.4 9.02 6.35 11.9 10.3 9.14 7.80 6.21 4.40

r, In. 2.99 3.04 3.10 3.13 3.15 3.80 2.58 2.63 2.69 2.72 2.75 2.77 2.17 2.23 2.28 2.31 2.34 2.37 2.39 2.08 2.11 2.13 2.16 2.19 1.82 1.87 1.90 1.93 1.96 1.99 1.67 1.70 1.73 1.75 1.78 1.41 1.46 1.49 1.52 1.55 1.58

B, Bending Factor 0.449 0.432 0.418 0.409 0.402 0.395 0.525 0.504 0.484 0.474 0.464 0.454 0.624 0.606 0.577 0.562 0.550 0.535 0.523 0.637 0.621 0.604 0.587 0.573 0.758 0.712 0.692 0.672 0.651 0.634 0.806 0.780 0.758 0.731 0.709 1.01 0.928 0.897 0.864 0.831 0.805

a ÷ 106 21.8 18.7 14.9 12.8 10.6 8.1 13.9 12.0 9.69 8.38 6.94 5.38 8.23 7.20 5.88 5.12 4.27 3.33 2.31 4.44 3.87 3.24 2.54 1.76 3.88 3.24 2.84 2.39 1.88 1.31 2.28 2.02 1.70 1.35 0.948 1.78 1.54 1.36 1.16 0.927 0.657

5

Fy=50

ERW


Nominal Outside 8 X 8 7 X 7 6 X 6 5½ X 5½ 5 X 5 4½ X 4½ 4 X 4

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

Weight per Foot 59.32 48.85 37.69 31.84 25.82 19.63 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 24.93 21.21 17.32 13.25 9.01 28.43 22.37 19.08 15.62 11.97 8.16 19.82 16.96 13.91 10.70 7.31 21.63 17.27 14.83 12.21 9.42 6.46

Design Wall Thickness 0.581 0.465 0.349 0.291 0.233 .174* 0.581 0.465 0.349 0.291 0.233 .174* 0.581 0.650 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 0.465 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 0.485 0.349 0.291 0.233 0.174 0.116


Eff

ectiv

e le

ngth

KL

in f

eet

0 492 405 312 263 213 146 420 348 269 228 185 137 351 292 227 193 157 119 69 206 176 143 109 66 236 185 158 129 98 63 164 140 115 88 60 181 143 123 101 77 53

2 482 397 306 258 209 144 410 340 263 223 181 135 341 284 221 188 153 116 68 200 170 139 106 65 228 179 153 125 95 62 158 135 111 85 58 172 137 118 97 74 51

3 477 393 303 255 207 143 405 336 260 220 179 134 335 279 218 185 151 115 67 197 167 137 104 64 223 175 149 122 93 61 154 132 108 83 57 167 133 114 94 72 50

4 471 388 299 252 204 142 398 330 256 217 176 132 328 284 214 181 148 113 66 192 164 134 102 63 217 171 146 119 91 60 150 128 105 80 55 160 128 110 91 70 48

5 464 382 295 249 202 141 381 325 252 213 173 131 311 268 209 178 145 110 65 188 160 131 100 62 211 166 142 116 89 59 145 124 102 78 53 153 123 106 87 67 46

6 457 377 291 245 199 139 384 319 247 209 170 129 313 262 204 174 142 108 64 183 156 127 97 61 204 161 137 113 86 57 139 119 98 75 52 146 117 101 83 64 44

7 449 370 286 241 196 138 376 312 242 205 168 127 304 255 199 169 138 105 63 177 151 124 94 60 197 155 133 109 83 56 133 114 94 72 50 137 111 96 79 61 42

8 441 364 281 237 192 136 367 305 237 201 164 124 295 247 247 165 135 103 62 172 146 120 91 58 188 149 128 105 80 55 127 109 90 69 47 128 104 90 75 58 40

9 432 357 276 233 189 135 358 298 232 196 160 121 285 240 188 160 131 100 61 165 141 116 88 57 180 143 122 101 77 53 120 103 86 66 45 118 97 84 70 54 38

10 423 350 271 228 185 133 348 290 226 192 156 118 275 231 181 155 127 97 60 159 136 111 85 56 171 136 117 96 74 51 113 97 81 62 43 108 89 78 65 50 35

11 414 342 265 224 181 131 338 282 220 187 152 115 264 223 175 149 122 93 58 152 130 107 82 54 161 129 111 91 70 48 105 91 76 58 40 97 81 71 59 46 32

12 404 334 259 219 178 129 328 274 213 181 148 112 253 214 168 143 118 90 57 145 124 102 78 52 151 121 104 86 67 46 97 84 70 54 38 86 72 63 54 42 30

13 394 326 253 214 173 127 317 265 207 176 144 109 241 204 161 138 113 86 55 138 118 97 74 50 141 113 98 81 63 43 89 77 65 50 35 73 63 56 47 38 27

14 383 317 246 208 169 124 306 256 200 170 139 106 228 194 153 131 108 83 54 130 112 92 71 48 130 105 91 76 59 40 80 70 59 46 32 63 54 48 41 33 23

15 372 308 240 203 165 122 294 246 193 164 134 102 215 184 146 125 103 79 52 122 105 86 67 46 118 96 84 70 54 38 70 62 53 41 29 55 47 42 36 29 20

16 361 299 233 197 160 119 281 236 186 158 128 98 202 173 138 118 97 75 50 113 98 81 62 43 106 87 76 64 50 35 62 55 47 36 26 48 41 37 32 25 18

17 349 290 226 191 155 117 269 226 178 152 124 95 188 162 129 111 92 71 48 104 90 75 58 40 94 78 68 57 45 31 55 49 41 32 23 43 37 33 28 22 16

18 337 280 218 185 151 114 256 216 170 145 119 91 173 150 121 104 86 66 45 95 83 69 53 37 84 69 61 51 40 28 49 43 37 29 20 38 33 29 25 20 14

19 324 270 211 179 145 111 242 205 162 138 114 87 158 138 111 96 80 62 43 86 75 62 49 34 75 62 55 46 36 25 44 39 33 26 18 34 29 26 22 18 13

20 311 259 203 172 140 107 228 193 153 131 108 82 143 126 102 89 74 57 39 77 68 56 44 31 68 56 49 42 33 23 40 35 30 23 16 31 26 24 20 16 11

21 298 249 195 166 135 103 213 182 145 124 102 78 130 114 93 81 67 53 36 70 61 51 40 28 61 51 45 38 30 21 36 32 27 21 15 28 24 21 18 15 10

22 284 238 187 159 130 99 198 170 136 117 96 74 118 104 84 74 61 48 33 64 56 46 36 25 56 46 41 34 27 19 33 29 25 19 14 26 22 20 17 13 9

23 270 226 178 152 124 95 183 157 126 109 90 69 108 95 77 67 56 44 30 58 51 42 33 23 51 42 37 31 25 17 30 27 23 18 12 23 20 18 15 12 9

24 255 215 170 145 118 90 168 144 117 101 84 64 99 87 71 62 52 40 28 54 47 39 30 21 47 39 34 29 23 16 28 24 21 16 11 18 16 14 11 8

25 240 203 161 137 112 86 155 133 108 93 77 59 91 80 65 57 48 37 26 49 43 36 28 20 43 36 32 27 21 15 25 22 19 15 11 13 10 7

26 224 190 151 129 106 81 143 123 100 86 72 55 85 74 60 53 44 34 24 46 40 33 26 18 40 33 29 25 19 14 23 21 18 14 10

27 209 177 142 122 100 77 133 114 92 80 66 51 78 69 56 49 41 32 22 42 37 31 24 18 37 31 27 23 18 13 22 19 16 13 9

28 194 165 132 114 93 72 123 106 86 74 62 47 73 64 52 45 38 30 20 39 34 29 22 16 35 29 25 21 17 12 18 15 12 8

29 181 154 123 106 87 67 115 99 80 69 58 44 68 60 49 42 35 28 19 37 32 27 21 15 32 27 23 20 16 11 11 8

30 169 144 115 99 81 63 107 92 75 65 54 41 63 56 45 40 33 26 18 34 30 25 20 14 30 25 22 18 15 10

31 158 135 108 93 76 59 101 87 70 61 50 39 59 52 43 37 31 24 17 32 28 23 18 13 23 20 17 14 10

32 148 126 101 87 71 55 94 81 66 57 47 36 56 49 40 35 29 23 16 30 26 22 17 12 16 13 9

33 140 119 95 82 67 52 89 76 62 53 44 34 52 46 38 33 27 21 15 28 25 21 16 11 8

34 132 112 90 77 63 49 84 72 58 50 42 32 49 43 35 31 26 20 14 27 23 19 15 11

35 124 106 85 73 60 46 79 68 55 48 40 30 47 41 33 29 24 19 13 22 18 14 10

36 117 100 80 69 56 43 75 64 52 45 37 29 44 39 32 27 23 19 12 14 9

37 111 95 76 65 53 41 71 61 49 43 35 27 37 30 26 22 17 12

38 105 90 72 62 51 39 67 58 47 40 34 26 28 25 21 16 11

39 100 85 68 59 48 37 64 55 44 38 32 24 20 15 11

40 95 81 65 56 46 35 60 52 42 36 30 23


Area, In² 16.4 13.5 10.4 8.76 7.10 5.37 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 6.88 5.85 4.77 3.63 2.46 7.88 6.18 5.26 4.30 3.28 2.23 5.48 4.68 3.84 2.93 2.00 6.02 4.78 4.10 3.37 2.58 1.77

I, In4 146 125 99.6 85.6 70.7 54.4 93.3 80.5 64.9 56.1 46.5 36.0 55.1 48.2 39.4 34.3 28.6 22.3 15.5 29.7 25.9 21.7 17.0 11.8 26.0 21.7 19.0 16.0 12.6 8.8 15.3 13.5 11.4 9.02 6.35 11.9 10.3 9.14 7.80 6.21 4.40

r, In. 2.99 3.04 3.10 3.13 3.15 3.80 2.58 2.63 2.69 2.72 2.75 2.77 2.17 2.23 2.28 2.31 2.34 2.37 2.39 2.08 2.11 2.13 2.16 2.19 1.82 1.87 1.90 1.93 1.96 1.99 1.67 1.70 1.73 1.75 1.78 1.41 1.46 1.49 1.52 1.55 1.58

B, Bending Factor 0.449 0.432 0.418 0.409 0.402 0.395 0.525 0.504 0.484 0.474 0.464 0.454 0.624 0.606 0.577 0.562 0.550 0.535 0.523 0.637 0.621 0.604 0.587 0.573 0.758 0.712 0.692 0.672 0.651 0.634 0.806 0.780 0.758 0.731 0.709 1.01 0.928 0.897 0.864 0.831 0.805

a ÷ 106 21.8 18.7 14.9 12.8 10.6 8.1 13.9 12.0 9.69 8.38 6.94 5.38 8.23 7.20 5.88 5.12 4.27 3.33 2.31 4.44 3.87 3.24 2.54 1.76 3.88 3.24 2.84 2.39 1.88 1.31 2.28 2.02 1.70 1.35 0.948 1.78 1.54 1.36 1.16 0.927 0.657

6

Fy=50

ERW


Nominal Outside 3½ X 3½ 3 X 3 2½ X 2½ 2 X 2

Wall Thickness 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 1/8 1/4 3/16 1/8

Weight per Foot 14.72 12.70 10.51 8.15 5.61 12.17 10.58 8.81 6.87 4.75 8.45 7.11 5.59 3.90 5.41 4.32 3.05

Design Wall Thickness 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 0.116 0.233 0.174 0.116

Fy = 50 ksi

Eff

ectiv

e le

ngth

KL

in f

eet

0 123 106 87 67 46 102 88 73 57 39 71 59 46 32 52 41 29

2 116 100 83 64 44 95 82 69 53 37 65 54 43 30 47 37 26

3 112 96 80 62 43 90 79 66 51 35 60 51 40 28 44 35 25

4 107 92 77 59 41 85 74 62 48 33 55 47 37 26 40 32 23

5 101 88 73 56 39 79 69 58 45 31 50 43 34 24 35 28 20

6 95 82 69 53 37 72 63 53 42 29 44 38 30 21 30 24 18

7 88 77 64 50 35 64 57 48 38 27 37 32 26 19 24 20 15

8 81 71 59 46 32 56 50 43 34 24 29 26 22 16 18 15 12

9 73 64 54 43 30 48 43 37 30 21 23 21 17 13 14 12 9

10 65 57 49 38 27 39 36 31 25 18 19 17 14 10 12 10 7

11 56 50 43 34 24 32 29 26 21 15 16 14 12 9 10 8 6

12 47 42 37 29 21 27 25 22 18 13 13 12 10 8 8 7 5

13 40 36 31 25 18 23 21 18 15 11 11 10 8 6 7 6 4

14 34 31 27 22 15 20 18 16 13 9 10 9 7 5 4

15 30 27 23 19 13 17 16 14 11 8 7 6 5

16 26 24 21 17 12 15 14 12 10 7

17 23 21 18 15 10 13 12 11 9 6

18 21 19 16 13 9 11 10 8 6

19 19 17 15 12 8 7 5

20 17 15 13 11 7

21 15 14 12 10 7

22 11 9 6

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

PROPERTIES

Area, In² 4.09 3.52 2.91 2.24 1.54 3.39 2.94 2.44 1.89 1.30 2.35 1.97 1.54 1.07 1.74 1.37 0.96

I, In4 6.48 5.84 5.04 4.05 2.90 3.77 3.45 3.02 2.60 1.78 1.82 1.63 1.35 1.00 1.13 0.952 0.712

r, In. 1.26 1.29 1.32 1.35 1.37 1.05 1.08 1.11 1.14 1.17 0.879 0.908 0.937 0.965 0.805 0.835 0.863

B, Bending Factor 1.10 1.05 1.01 0.968 0.929 1.35 1.28 1.21 1.15 1.10 1.61 1.51 1.43 1.34 1.73 1.62 1.52

a ÷ 106 0.968 0.872 0.753 0.605 0.433 0.563 0.515 0.451 0.367 0.266 0.272 0.243 0.202 0.149 0.169 0.142 0.106

7

SQ Wall Wt per ftMoment of Inertia In4

Section Modulus

In³

Radius of Gyration

In³

2.00

0.125 3.05 0.486 0.486 0.761

0.188 4.32 0.641 0.641 0.733

0.250 5.41 0.747 0.747 0.704

2.50

0.125 3.90 0.998 0.799 0.965

0.188 5.59 1.350 1.080 0.937

0.250 7.11 1.630 1.300 0.908

0.313 8.45 1.820 1.460 0.880

3.00

0.125 4.75 1.78 1.19 1.17

0.188 6.87 2.46 1.64 1.14

0.250 8.81 3.02 2.01 1.11

0.313 10.58 3.45 2.30 1.08

0.375 12.17 3.78 2.52 1.06

3.50

0.125 5.61 2.90 1.66 1.37

0.188 8.15 4.05 2.31 1.35

0.250 10.51 5.04 2.88 1.32

0.313 12.70 5.84 3.34 1.29

0.375 14.72 6.49 3.71 1.26

4.00

0.125 6.46 4.40 2.20 1.58

0.188 9.42 6.21 3.10 1.55

0.250 12.21 7.80 3.90 1.52

0.313 14.83 9.14 4.57 1.49

0.375 17.27 10.30 5.13 1.47

0.500 21.63 11.90 5.97 1.41

4.50

0.125 7.31 6.35 2.82 1.78

0.188 10.70 9.02 4.01 1.75

0.250 13.91 11.40 5.08 1.73

0.313 16.96 13.50 6.00 1.70

0.375 19.82 15.30 6.79 1.67

5.00

0.125 8.16 8.80 3.52 1.99

0.188 11.97 12.60 5.03 1.96

0.250 15.62 16.00 6.41 1.93

0.313 19.08 19.00 7.62 1.90

0.375 22.37 21.70 8.68 1.87

0.500 28.43 26.00 10.40 1.82

5.50

0.125 9.01 11.80 4.30 2.19

0.188 13.25 17.00 6.17 2.16

0.250 17.32 21.70 7.90 2.13

0.313 21.21 25.90 9.43 2.11

0.375 24.93 29.70 10.80 2.08

SQ Wall Wt per ftMoment of Inertia In4

Section Modulus

In³

Radius of Gyration

In³

6.00

0.125 9.86 15.50 5.15 2.39

0.188 14.53 22.30 7.42 2.37

0.250 19.02 28.60 9.54 2.34

0.313 23.34 34.30 11.40 2.31

0.375 27.48 39.50 13.20 2.28

0.500 35.24 48.30 16.10 2.23

0.625 42.30 55.20 18.40 2.17

7.00

0.125 11.56 24.80 7.09 2.80

0.188 17.08 36.00 10.30 2.77

0.250 22.42 46.50 13.30 2.75

0.313 27.59 56.10 16.00 2.72

0.375 32.58 65.00 18.60 2.69

0.500 42.05 80.50 23.00 2.63

0.625 50.81 93.40 26.70 2.58

8.00

0.125 13.26 37.40 9.34 3.21

0.188 19.63 54.40 13.60 3.18

0.250 25.82 70.70 17.70 3.15

0.313 31.84 85.60 21.40 3.13

0.375 37.69 100.00 24.90 3.10

0.500 48.85 125.00 31.20 3.04

0.625 59.32 146.00 36.50 2.99

9.00

0.125 14.96 53.50 11.90 3.62

0.188 22.18 78.20 17.40 3.59

0.250 29.23 102.00 22.70 3.56

0.313 36.10 124.00 27.60 3.54

0.375 42.79 145.00 32.20 3.51

0.500 55.66 183.00 40.60 3.45

0.625 67.82 216.00 47.90 3.40

10.00

0.188 24.73 108.00 21.60 4.00

0.250 32.63 141.00 28.30 3.97

0.313 40.35 172.00 34.50 3.94

0.375 47.90 202.00 40.40 3.92

0.500 62.46 256.00 51.20 3.86

0.625 76.33 304.00 60.80 3.80

12.00

0.188 29.84 189.00 31.50 4.82

0.250 39.43 248.00 41.40 4.79

0.313 48.86 304.00 50.70 4.76

0.375 58.10 357.00 59.50 4.73

0.500 76.07 457.00 76.20 4.68

0.625 93.34 548.00 91.40 4.62Call your Account Representative for floor stock availability or go on-line at www.independencetube.com.

HSS Squares Dimension and Section Properties

8

INDEPENDENCE TUBE produces rectangles from 2½" X 1½" X .125" wall through 16" X 8" x .625" wall to ASTM A500.

CHICAGO:3" x 1½" through 8" x 4" Walls from .125" to .375"

MARSEILLES:2½" x 1½" through 12" x 8" Walls from .125" to .625"

DECATUR:3" x 2" through 16" x 8" Walls from .188" to .625"


Flash removal available on some sizes—contact your Independence Tube Sales Representative for details.


HSS Rectangles

9

Nominal Outside 16 x 8 16 x 4 14 x 10 14 x 6

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

Weight per Foot 93.34 76.07 58.10 48.86 62.46 47.90 40.35 93.34 76.07 58.10 48.86 39.43 76.33 62.46 47.90 40.35 32.63 24.73

Design Wall Thickness 0.581 0.465 .349* .291* 0.465 .349* .291* 0.581 0.465 0.349* .291* .233* 0.581 0.465 .349* .291* .233* .174*

Fy = 50 ksi

Eff

ectiv

e le

ngth

KL

in f

eet

0 771 627 448 348 516 365 281 771 627 474 371 274 630 516 390 303 222 148

2 758 616 442 344 496 355 274 760 618 469 368 272 615 504 383 298 219 146

3 750 610 439 341 483 349 269 754 613 466 365 270 605 496 378 295 217 145

4 741 603 435 338 469 341 264 747 608 453 363 269 595 488 373 291 214 143

5 732 596 431 335 453 333 258 740 602 459 360 267 583 479 368 287 212 142

6 722 588 426 332 435 324 252 732 596 455 357 265 571 469 361 283 209 140

7 711 579 422 329 416 313 244 724 590 451 354 263 558 459 353 278 206 138

8 700 570 417 325 396 302 237 716 583 446 351 261 544 447 345 373 202 136

9 688 561 411 321 374 290 228 707 576 441 348 259 529 436 336 268 199 134

10 676 551 406 317 351 276 219 697 568 436 344 257 513 423 327 262 195 132

11 663 541 400 313 327 258 208 688 560 430 341 254 497 410 317 256 191 129

12 649 430 394 308 301 240 197 677 552 424 337 252 480 396 307 250 187 127

13 635 519 387 304 274 220 184 667 544 417 333 249 462 382 296 243 182 124

14 620 507 380 299 246 199 170 656 535 411 329 246 443 367 285 236 177 121

15 605 495 373 294 216 178 153 644 526 404 324 243 424 352 274 228 172 118

16 589 482 365 288 190 156 135 633 517 397 320 240 403 336 262 220 167 115

17 573 470 358 283 168 139 129 621 507 390 315 237 382 319 249 211 161 112

18 557 456 349 277 150 124 106 608 497 383 310 233 361 302 236 200 155 108

19 539 443 341 271 135 111 95 596 487 375 305 230 338 284 223 189 149 105

20 522 429 331 264 121 100 86 583 477 367 300 226 315 266 210 178 142 101

21 504 414 321 258 110 91 78 569 466 359 295 223 291 246 195 166 134 97

22 485 399 309 251 100 83 71 555 455 351 289 219 266 227 181 154 126 92

23 466 384 298 243 92 76 65 541 444 342 283 215 243 207 166 141 117 87

24 446 368 286 236 84 69 60 527 433 334 277 211 223 190 152 130 107 82

25 426 352 274 227 78 64 55 512 421 325 271 206 206 176 140 120 99 76

26 405 336 262 219 72 59 51 497 409 316 264 202 190 162 130 111 91 71

27 383 319 249 210 67 55 47 481 397 307 258 198 176 150 120 103 85 66

28 361 302 236 200 51 44 466 384 297 251 193 164 140 112 95 79 61

29 339 284 223 190 449 371 288 243 188 153 130 104 89 74 57

30 317 265 209 178 433 358 278 234 183 143 122 97 83 69 53

31 297 249 196 167 416 345 268 226 178 134 114 91 78 64 50

32 278 233 184 157 399 331 257 218 172 126 107 86 73 60 47

33 262 219 173 148 381 317 247 209 166 118 101 80 69 57 44

34 247 207 163 138 363 303 236 200 160 111 95 76 65 54 41

35 233 195 154 131 344 288 225 191 154 105 90 72 61 50 39

36 220 184 145 124 326 273 214 182 147 99 85 68 58 48 37

37 208 175 138 117 308 258 203 172 140 94 80 64 55 45 35

38 197 165 130 111 292 245 192 163 133 89 76 61 52 43 33

39 187 157 124 106 278 233 182 155 126 85 72 58 49 41 31

40 178 149 118 100 264 221 173 147 120 80 69 55 47 39 30

PROPERTIES

Area, In² 25.7 20.9 16.0 13.4 17.2 13.2 11.1 25.7 20.9 16.0 13.4 10.8 21.0 17.2 13.2 11.1 9.0 6.8

Ix, In4 815 679 531 451 455 360 308 687 573 447 380 310 478 402 317 271 222 170

ly, In4 274 230 181 155 47 38.3 33.2 407 341 267 227 186 124 105 84.1 72.3 59.6 45.9

Ratio rx/ry 1.72 1.72 1.71 1.71 3.11 3.07 3.05 1.30 1.30 1.29 1.29 1.29 1.96 1.96 1.94 1.94 1.93 1.92

ry, ‘In. 3.27 3.32 3.37 3.40 1.65 1.71 1.73 3.98 4.04 4.09 4.12 4.14 2.43 2.48 2.53 2.55 2.58 2.61

Bx, Bending Factor 0.252 0.246 0.241 0.238 0.302 0.293 0.288 0.262 0.255 0.251 0.247 0.244 0.308 0.300 0.291 0.287 0.283 0.278

By, Bending Factor 0.375 0.363 0.354 0.346 0.732 0.689 0.669 0.316 0.306 0.300 0.295 0.290 0.508 0.491 0.471 0.461 0.451 0.442

ax, ÷ 106 122.00 101.00 79.30 67.30 67.90 53.80 46.00 103.00 85.60 66.80 56.70 46.30 71.40 60.00 47.30 40.50 33.20 25.40

ay, ÷106 40.9 34.3 27.0 23.1 7.02 5.72 4.96 60.80 50.90 39.90 33.90 27.80 18.50 15.70 12.60 10.80 8.90 6.85

10

HSS/Rectangular Structural Steel TubingAllowable Concentric Loads in Kips

Fy=50

ERW

Nominal Outside 14 x 4 12 x 8 12 x 6 12 x 4 12 x 2

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

Weight per Foot 67.82 55.66 42.79 36.10 29.23 22.18 76.33 62.46 47.90 40.35 32.63 24.73 67.82 55.66 42.79 36.10 29.23 22.18 59.32 48.85 37.69 31.84 25.82 19.63 22.42 17.08

Design Wall Thickness 0.581 0.465 .349* .291* .233* .174* 0.581 0.465 0.349 .291* .233* .174* 0.581 0.465 0.349 .291* .233* .174* 0.581 0.465 0.349 .291* .233* .174* .233* .174*


Eff

ectiv

e le

ngth

KL

in f

eet

561 459 348 269 196 128 630 516 396 325 242 161 561 459 354 290 214 143 492 405 312 255 187 124 160 104

538 441 338 262 191 126 619 507 389 321 238 159 547 448 346 285 210 141 472 389 300 248 182 121 150 98

524 430 331 257 188 124 612 501 385 318 236 158 538 441 340 281 208 140 459 379 293 243 179 119 143 94

507 417 323 251 184 122 604 495 381 315 234 157 529 434 335 278 206 138 444 367 284 238 175 117 134 89

489 402 312 245 180 119 597 489 376 312 232 156 519 425 329 274 203 136 428 354 274 231 171 114 123 84

469 387 300 239 176 117 588 482 371 308 230 154 507 416 322 269 200 135 410 340 264 223 166 112 109 77

447 370 288 231 171 114 579 475 365 305 227 153 495 407 315 264 197 133 390 325 253 214 161 109 92 68

424 351 274 223 166 111 569 467 359 301 224 151 483 397 307 259 183 131 369 308 241 204 156 105 71 57

399 322 260 214 160 108 559 459 353 296 222 150 469 386 299 252 189 128 347 291 228 194 150 102 56 45

372 311 245 205 154 104 548 451 347 292 219 148 455 375 291 245 185 126 323 272 214 182 143 98 46 37

344 289 229 194 147 101 537 442 340 287 215 146 440 363 282 238 181 123 298 253 200 171 136 94 38 30

314 266 212 181 139 96 526 432 333 281 212 145 424 350 272 230 177 121 272 232 184 158 128 90 32 26

283 242 194 167 131 92 513 423 326 275 208 143 408 337 263 222 172 118 244 210 168 145 119 85 27 22

250 216 175 151 122 87 501 412 319 268 205 141 391 324 253 214 167 115 214 187 151 131 108 85 23 19

218 190 155 135 111 81 488 402 311 262 201 138 373 310 243 205 161 112 186 163 134 117 97 73

192 167 137 119 98 75 474 391 303 255 197 136 254 295 231 196 156 108 164 144 117 103 85 67

170 148 121 105 87 68 460 380 294 248 192 133 335 280 220 187 149 105 145 127 104 91 75 59

151 132 108 94 78 61 446 369 286 241 188 131 335 264 208 177 143 101 129 113 93 81 67 53

136 118 97 84 70 55 431 357 277 234 183 128 294 248 196 167 136 97 116 102 83 73 60 47

123 107 87 76 63 49 416 345 268 226 179 125 273 231 183 157 128 93 105 92 75 66 54 43

111 97 79 69 57 45 400 332 259 218 174 122 251 213 170 146 120 88 95 83 68 60 49 39

101 88 72 63 52 41 384 319 249 210 168 119 229 195 157 135 111 83 87 76 62 54 45 35

93 81 66 58 48 37 368 306 239 202 163 115 209 179 143 123 102 78 79 69 57 50 41 32

85 74 61 53 44 34 351 292 229 194 157 112 192 164 132 113 93 72 73 64 52 46 38 30

78 68 56 49 40 32 333 278 219 185 151 108 177 151 121 105 86 66 67 59 48 42 35 27

73 63 52 45 38 29 315 264 208 176 144 104 164 140 112 97 79 61 62 54 44 39 32 25

59 48 42 35 27 296 249 197 167 137 100 152 130 104 90 74 57 50 11 36 30 23

45 39 32 25 277 234 186 168 129 96 141 120 97 83 69 53 33 28 22

30 23 259 219 174 148 122 92 132 112 90 78 64 49 20

242 204 163 138 114 87 123 105 84 73 60 46

226 191 152 130 107 82 115 98 79 68 56 43

212 179 143 122 100 77 108 92 74 64 52 41

200 169 134 114 94 72 102 87 70 60 49 38

188 159 127 108 89 68 96 82 66 57 46 36

178 150 119 102 84 64 90 77 62 53 44 34

168 142 113 96 79 61 85 73 59 50 41 32

159 134 107 91 75 57 81 69 55 48 39 30

151 127 101 86 71 54 77 65 53 45 37 29

143 121 96 82 67 52 73 62 50 43 35 27

136 115 91 78 64 49 59 47 41 34 26


Area, In² 18.7 15.3 11.8 9.92 8.03 6.06 21.00 17.20 13.20 11.10 8.96 6.76 18.70 15.30 11.80 9.92 8.03 6.06 16.40 13.50 10.40 8.76 7.10 5.37 6.17 4.67

Ix, In4 373 317 252 216 178 137 396 333 262 224 184 140 321 271 215 184 151 116 245 209 168 144 119 91.8 86.9 67.4

ly, In4 47.1 41.1 33.6 29.2 24.4 19 210 177 140 120 98.8 75.7 106 91.1 72.9 62.8 51.9 40 40.3 35.3 28.9 25.2 21 16.4 4.4 3.55

Ratio rx/ry 2.81 2.78 2.74 2.72 2.70 2.69 1.37 1.37 1.37 1.37 1.36 1.36 1.74 1.72 1.72 1.71 1.71 1.70 2.47 2.43 2.41 2.39 2.38 2.37 4.44 4.36

ry, ‘In. 1.59 1.64 1.69 1.72 1.74 1.77 3.16 3.21 3.27 3.29 3.32 3.35 2.39 2.44 2.49 2.52 2.54 2.57 1.57 1.62 1.67 1.70 1.72 1.75 0.845 0.872

Bx, Bending Factor 0.351 0.338 0.328 0.321 0.316 0.310 0.318 0.310 0.302 0.297 0.292 0.290 0.350 0.339 0.329 0.323 0.319 0.313 0.402 0.388 0.371 0.365 0.358 0.351 0.426 0.416

By, Bending Factor 0.794 0.745 0.702 0.679 0.658 0.638 0.400 0.389 0.377 0.370 0.363 0.357 0.529 0.504 0.486 0.474 0.464 0.455 0.814 0.765 0.720 0.695 0.676 0.655 1.400 1.320

ax, ÷ 106 55.70 47.30 37.60 32.30 26.60 20.50 59.10 49.70 39.10 33.50 27.50 20.90 47.90 40.50 32.10 27.50 22.50 17.30 36.60 31.20 25.10 21.50 17.80 13.70 13.00 10.10

ay, ÷106 7.03 6.14 5.02 4.36 3.64 2.84 31.40 26.40 20.90 17.90 14.80 11.30 15.80 13.60 10.90 9.38 7.75 5.97 6.02 5.27 4.32 3.76 3.14 2.45 0.66 0.53

11


Fy=50

ERW

Nominal Outside 14 x 4 12 x 8 12 x 6 12 x 4 12 x 2

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

Weight per Foot 67.82 55.66 42.79 36.10 29.23 22.18 76.33 62.46 47.90 40.35 32.63 24.73 67.82 55.66 42.79 36.10 29.23 22.18 59.32 48.85 37.69 31.84 25.82 19.63 22.42 17.08

Design Wall Thickness 0.581 0.465 .349* .291* .233* .174* 0.581 0.465 0.349 .291* .233* .174* 0.581 0.465 0.349 .291* .233* .174* 0.581 0.465 0.349 .291* .233* .174* .233* .174*


Eff

ectiv

e le

ngth

KL

in f

eet

561 459 348 269 196 128 630 516 396 325 242 161 561 459 354 290 214 143 492 405 312 255 187 124 160 104

538 441 338 262 191 126 619 507 389 321 238 159 547 448 346 285 210 141 472 389 300 248 182 121 150 98

524 430 331 257 188 124 612 501 385 318 236 158 538 441 340 281 208 140 459 379 293 243 179 119 143 94

507 417 323 251 184 122 604 495 381 315 234 157 529 434 335 278 206 138 444 367 284 238 175 117 134 89

489 402 312 245 180 119 597 489 376 312 232 156 519 425 329 274 203 136 428 354 274 231 171 114 123 84

469 387 300 239 176 117 588 482 371 308 230 154 507 416 322 269 200 135 410 340 264 223 166 112 109 77

447 370 288 231 171 114 579 475 365 305 227 153 495 407 315 264 197 133 390 325 253 214 161 109 92 68

424 351 274 223 166 111 569 467 359 301 224 151 483 397 307 259 183 131 369 308 241 204 156 105 71 57

399 322 260 214 160 108 559 459 353 296 222 150 469 386 299 252 189 128 347 291 228 194 150 102 56 45

372 311 245 205 154 104 548 451 347 292 219 148 455 375 291 245 185 126 323 272 214 182 143 98 46 37

344 289 229 194 147 101 537 442 340 287 215 146 440 363 282 238 181 123 298 253 200 171 136 94 38 30

314 266 212 181 139 96 526 432 333 281 212 145 424 350 272 230 177 121 272 232 184 158 128 90 32 26

283 242 194 167 131 92 513 423 326 275 208 143 408 337 263 222 172 118 244 210 168 145 119 85 27 22

250 216 175 151 122 87 501 412 319 268 205 141 391 324 253 214 167 115 214 187 151 131 108 85 23 19

218 190 155 135 111 81 488 402 311 262 201 138 373 310 243 205 161 112 186 163 134 117 97 73

192 167 137 119 98 75 474 391 303 255 197 136 254 295 231 196 156 108 164 144 117 103 85 67

170 148 121 105 87 68 460 380 294 248 192 133 335 280 220 187 149 105 145 127 104 91 75 59

151 132 108 94 78 61 446 369 286 241 188 131 335 264 208 177 143 101 129 113 93 81 67 53

136 118 97 84 70 55 431 357 277 234 183 128 294 248 196 167 136 97 116 102 83 73 60 47

123 107 87 76 63 49 416 345 268 226 179 125 273 231 183 157 128 93 105 92 75 66 54 43

111 97 79 69 57 45 400 332 259 218 174 122 251 213 170 146 120 88 95 83 68 60 49 39

101 88 72 63 52 41 384 319 249 210 168 119 229 195 157 135 111 83 87 76 62 54 45 35

93 81 66 58 48 37 368 306 239 202 163 115 209 179 143 123 102 78 79 69 57 50 41 32

85 74 61 53 44 34 351 292 229 194 157 112 192 164 132 113 93 72 73 64 52 46 38 30

78 68 56 49 40 32 333 278 219 185 151 108 177 151 121 105 86 66 67 59 48 42 35 27

73 63 52 45 38 29 315 264 208 176 144 104 164 140 112 97 79 61 62 54 44 39 32 25

59 48 42 35 27 296 249 197 167 137 100 152 130 104 90 74 57 50 11 36 30 23

45 39 32 25 277 234 186 168 129 96 141 120 97 83 69 53 33 28 22

30 23 259 219 174 148 122 92 132 112 90 78 64 49 20

242 204 163 138 114 87 123 105 84 73 60 46

226 191 152 130 107 82 115 98 79 68 56 43

212 179 143 122 100 77 108 92 74 64 52 41

200 169 134 114 94 72 102 87 70 60 49 38

188 159 127 108 89 68 96 82 66 57 46 36

178 150 119 102 84 64 90 77 62 53 44 34

168 142 113 96 79 61 85 73 59 50 41 32

159 134 107 91 75 57 81 69 55 48 39 30

151 127 101 86 71 54 77 65 53 45 37 29

143 121 96 82 67 52 73 62 50 43 35 27

136 115 91 78 64 49 59 47 41 34 26


Area, In² 18.7 15.3 11.8 9.92 8.03 6.06 21.00 17.20 13.20 11.10 8.96 6.76 18.70 15.30 11.80 9.92 8.03 6.06 16.40 13.50 10.40 8.76 7.10 5.37 6.17 4.67

Ix, In4 373 317 252 216 178 137 396 333 262 224 184 140 321 271 215 184 151 116 245 209 168 144 119 91.8 86.9 67.4

ly, In4 47.1 41.1 33.6 29.2 24.4 19 210 177 140 120 98.8 75.7 106 91.1 72.9 62.8 51.9 40 40.3 35.3 28.9 25.2 21 16.4 4.4 3.55

Ratio rx/ry 2.81 2.78 2.74 2.72 2.70 2.69 1.37 1.37 1.37 1.37 1.36 1.36 1.74 1.72 1.72 1.71 1.71 1.70 2.47 2.43 2.41 2.39 2.38 2.37 4.44 4.36

ry, ‘In. 1.59 1.64 1.69 1.72 1.74 1.77 3.16 3.21 3.27 3.29 3.32 3.35 2.39 2.44 2.49 2.52 2.54 2.57 1.57 1.62 1.67 1.70 1.72 1.75 0.845 0.872

Bx, Bending Factor 0.351 0.338 0.328 0.321 0.316 0.310 0.318 0.310 0.302 0.297 0.292 0.290 0.350 0.339 0.329 0.323 0.319 0.313 0.402 0.388 0.371 0.365 0.358 0.351 0.426 0.416

By, Bending Factor 0.794 0.745 0.702 0.679 0.658 0.638 0.400 0.389 0.377 0.370 0.363 0.357 0.529 0.504 0.486 0.474 0.464 0.455 0.814 0.765 0.720 0.695 0.676 0.655 1.400 1.320

ax, ÷ 106 55.70 47.30 37.60 32.30 26.60 20.50 59.10 49.70 39.10 33.50 27.50 20.90 47.90 40.50 32.10 27.50 22.50 17.30 36.60 31.20 25.10 21.50 17.80 13.70 13.00 10.10

ay, ÷106 7.03 6.14 5.02 4.36 3.64 2.84 31.40 26.40 20.90 17.90 14.80 11.30 15.80 13.60 10.90 9.38 7.75 5.97 6.02 5.27 4.32 3.76 3.14 2.45 0.66 0.53

12

Fy=50

ERW


13


Nominal Outside 10 x 8 10 x 6 10 x 4 10 x 2 9 x 7 9 x 5

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

Weight per Foot 55.66 42.79 36.10 29.23 22.18 59.32 48.85 37.69 31.84 25.82 19.63 50.81 42.05 32.58 27.59 22.42 17.08 27.48 23.34 19.02 14.53 59.32 48.85 37.69 31.84 25.82 19.63 50.81 42.05 32.58 27.59 22.42 17.08

Design Wall Thickness 0.465 0.349 0.291 .233* .174* 0.581 0.465 0.349 0.291 .233* .174* 0.581 0.465 0.349 0.291 .233* .174* 0.349 0.291 .233* .174* 0.581 0.465 0.349 0.291 0.233 .174* 0.581 0.465 0.349 0.291 0.233 .174*


Eff

ectiv

e le

ngth

KL

in f

eet

459 354 298 232 154 492 405 312 263 205 138 420 348 296 228 177 118 227 193 149 98 492 405 312 263 213 145 420 348 269 228 185 125

451 348 292 229 152 479 395 304 256 201 136 402 334 259 219 172 115 205 175 139 92 481 396 305 257 209 143 406 337 261 221 180 122

446 344 289 227 151 472 389 300 253 198 134 391 325 252 214 169 113 189 162 132 88 475 391 302 254 206 142 398 330 256 217 176 120

440 340 286 225 150 463 382 295 248 196 133 378 315 244 207 165 110 171 147 121 83 468 385 297 251 203 140 388 323 250 212 173 118

434 335 282 223 149 454 374 289 244 193 131 364 303 236 200 160 108 150 130 108 77 460 379 293 247 200 139 378 314 244 207 168 116

428 331 278 220 147 444 366 283 239 190 129 348 291 227 193 156 105 126 111 93 69 452 372 288 242 197 137 366 305 237 201 164 114

421 326 274 217 146 433 358 277 233 186 127 331 277 217 184 150 102 99 89 77 60 443 365 282 238 193 135 354 295 230 195 159 111

414 320 270 214 144 421 348 270 228 182 125 312 263 206 176 144 99 76 69 59 48 433 358 276 233 189 133 341 285 222 189 154 109

407 315 265 211 143 409 339 262 222 178 122 293 247 195 166 136 95 60 54 47 38 423 350 270 228 185 131 327 274 214 182 148 106

399 309 260 208 141 396 328 255 215 174 120 272 231 182 156 129 91 49 44 38 31 412 341 264 223 181 128 312 262 205 174 143 102

391 303 255 205 139 382 317 246 209 170 117 250 213 170 146 120 87 40 36 31 25 401 332 257 217 177 126 296 349 196 167 136 99

382 296 250 201 137 368 306 238 202 164 114 226 195 156 135 111 82 34 31 26 21 390 323 250 212 172 123 280 236 186 159 130 95

373 289 244 197 135 353 294 229 194 158 111 202 176 142 123 102 76 29 26 23 18 378 313 243 206 167 120 263 222 176 150 123 91

364 282 238 193 133 338 282 220 187 152 108 176 155 127 111 92 70 16 365 303 235 199 162 118 245 208 166 141 116 87

354 275 232 189 131 322 269 210 179 146 104 153 135 111 98 82 63 352 293 228 193 157 115 226 193 154 132 109 82

345 268 226 184 128 305 256 200 170 139 101 134 119 98 86 72 56 338 282 220 186 152 111 206 177 143 123 101 77

334 260 220 179 126 288 242 190 162 132 97 119 105 87 76 64 50 324 271 211 179 146 108 185 161 131 112 93 73

324 252 213 173 123 270 228 179 153 125 93 106 94 77 68 57 44 310 259 202 172 141 105 165 144 118 102 85 66

313 244 206 168 120 251 213 168 144 118 88 95 84 69 61 51 40 295 247 194 165 135 101 148 129 106 92 77 59

302 235 199 162 117 231 197 157 135 110 84 86 76 63 55 46 36 279 235 184 157 128 97 134 117 96 83 69 53

290 227 192 157 114 211 181 145 125 102 78 78 69 57 50 42 32 263 222 175 149 122 93 121 106 87 75 63 48

278 218 185 151 110 192 165 133 115 94 73 71 63 52 45 38 30 247 209 165 141 116 89 111 96 79 68 57 44

266 209 177 145 107 176 151 121 105 86 67 65 57 47 41 35 28 230 195 155 132 109 84 101 88 72 63 52 40

253 199 169 138 103 162 139 111 96 79 61 60 53 43 38 32 25 212 181 144 114 102 79 93 81 67 57 48 38

241 189 161 132 99 149 128 103 89 73 57 55 49 40 35 30 23 195 167 133 115 95 73 86 75 61 53 44 34

227 179 153 125 95 138 118 95 82 68 52 37 32 27 21 181 154 123 106 88 68 79 69 57 49 41 32

214 169 144 119 90 128 110 88 76 63 49 34 30 25 20 168 143 114 98 81 63 73 64 53 45 38 29

200 159 136 112 85 119 102 82 71 58 45 24 18 156 133 106 91 76 59 68 60 49 42 35 27

186 148 127 105 80 111 95 76 66 54 42 145 124 99 85 71 55 64 56 46 39 33 25

174 138 119 98 75 103 89 71 62 51 39 136 116 93 80 66 51 59 52 43 37 31 24

163 130 111 92 70 97 83 67 58 48 37 127 109 87 75 62 48 56 49 40 34 29 22

153 122 104 86 66 91 78 63 54 45 35 119 102 81 70 58 45 52 46 37 32 27 21

144 114 98 81 62 86 73 59 51 42 32 112 96 77 66 55 42 35 30 25 20

135 108 92 76 58 81 69 56 48 39 31 106 90 72 62 51 40 29 24 18

128 102 87 72 55 76 65 52 45 37 29 100 85 68 59 48 37 17

121 96 82 68 52 72 62 50 43 35 27 94 81 64 55 46 35

114 91 78 64 49 68 58 47 40 33 26 89 76 61 52 43 34

108 86 74 61 47 64 55 44 38 32 24 85 72 58 50 41 32

103 82 70 58 44 61 53 42 36 30 23 80 69 55 47 39 30

98 78 67 55 42 40 35 29 22 76 65 52 45 37 29


Area, In² 15.30 11.80 9.92 8.03 6.06 16.40 13.50 10.40 8.76 7.10 5.37 14.00 11.60 8.97 7.59 6.17 4.67 7.58 6.43 5.24 3.98 16.40 13.50 10.40 8.76 7.10 5.37 14.0 11.6 8.97 7.59 6.17 4.67

Ix, In4 214 169 145 119 91.4 201 171 137 118 96.9 74.6 149 129 104 90.1 74.7 57.8 71.7 62.6 52.5 41 174 149 119 102 84.1 64.7 133 115 92.5 79.8 66.1 51.1

ly, In4 151 120 103 84.7 65.1 89.4 76.8 61.8 53.3 44.1 34.1 33.4 29.4 24.3 21.2 17.7 13.9 4.69 4.24 3.67 2.97 117 100 80.4 69.2 57.2 41.1 51.9 45.2 36.8 32.0 26.6 20.7

Ratio rx/ry 1.19 1.19 1.19 1.19 1.18 1.50 1.49 1.49 1.49 1.48 1.48 2.11 2.09 2.07 2.06 2.05 2.04 3.91 3.84 3.78 3.72 1.22 1.22 1.33 1.21 1.21 1.21 1.60 1.60 1.59 1.58 1.58 1.57

ry, ‘In. 3.14 3.19 3.22 3.25 3.28 2.34 2.39 2.44 2.47 2.52 2.52 1.54 1.59 1.64 1.67 1.70 1.72 0.79 0.81 0.84 0.86 2.68 2.73 2.70 2.81 2.84 2.87 1.92 1.97 2.03 2.05 2.08 2.10

Bx, Bending Factor 0.357 0.349 0.342 0.337 0.332 0.408 0.395 0.380 0.371 0.366 0.360 0.470 0.450 0.431 0.421 0.413 0.404 0.529 0.514 0.499 0.485 0.424 0.408 0.393 0.386 0.380 0.373 0.474 0.454 0.436 0.428 0.420 0.411

By, Bending Factor 0.405 0.393 0.385 0.379 0.372 0.550 0.527 0.505 0.493 0.483 0.472 0.838 0.789 0.738 0.716 0.697 0.672 1.620 1.520 1.430 1.340 0.491 0.473 0.453 0.443 0.434 0.426 0.674 0.642 0.609 0.593 0.580 0.564

ax, ÷ 106 32.00 25.20 21.70 17.80 13.60 30.00 25.50 20.50 17.60 14.50 11.10 22.30 19.30 15.50 13.50 11.20 8.63 10.70 9.35 7.84 6.12 26.00 22.30 17.80 15.20 12.60 9.66 19.90 17.20 13.80 11.90 9.87 7.63

ay, ÷106 22.50 17.90 15.40 12.60 9.72 13.40 11.50 9.23 7.96 6.59 5.09 4.99 4.39 3.63 3.17 2.64 2.08 0.70 0.63 0.548 0.444 17.50 14.90 12.00 10.30 8.54 6.59 7.75 6.75 5.50 4.78 3.97 3.09

Fy=50

ERW

14



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

Weight per Foot 55.66 42.79 36.10 29.23 22.18 59.32 48.85 37.69 31.84 25.82 19.63 50.81 42.05 32.58 27.59 22.42 17.08 27.48 23.34 19.02 14.53 59.32 48.85 37.69 31.84 25.82 19.63 50.81 42.05 32.58 27.59 22.42 17.08

Design Wall Thickness 0.465 0.349 0.291 .233* .174* 0.581 0.465 0.349 0.291 .233* .174* 0.581 0.465 0.349 0.291 .233* .174* 0.349 0.291 .233* .174* 0.581 0.465 0.349 0.291 0.233 .174* 0.581 0.465 0.349 0.291 0.233 .174*


Eff

ectiv

e le

ngth

KL

in f

eet

459 354 298 232 154 492 405 312 263 205 138 420 348 296 228 177 118 227 193 149 98 492 405 312 263 213 145 420 348 269 228 185 125

451 348 292 229 152 479 395 304 256 201 136 402 334 259 219 172 115 205 175 139 92 481 396 305 257 209 143 406 337 261 221 180 122

446 344 289 227 151 472 389 300 253 198 134 391 325 252 214 169 113 189 162 132 88 475 391 302 254 206 142 398 330 256 217 176 120

440 340 286 225 150 463 382 295 248 196 133 378 315 244 207 165 110 171 147 121 83 468 385 297 251 203 140 388 323 250 212 173 118

434 335 282 223 149 454 374 289 244 193 131 364 303 236 200 160 108 150 130 108 77 460 379 293 247 200 139 378 314 244 207 168 116

428 331 278 220 147 444 366 283 239 190 129 348 291 227 193 156 105 126 111 93 69 452 372 288 242 197 137 366 305 237 201 164 114

421 326 274 217 146 433 358 277 233 186 127 331 277 217 184 150 102 99 89 77 60 443 365 282 238 193 135 354 295 230 195 159 111

414 320 270 214 144 421 348 270 228 182 125 312 263 206 176 144 99 76 69 59 48 433 358 276 233 189 133 341 285 222 189 154 109

407 315 265 211 143 409 339 262 222 178 122 293 247 195 166 136 95 60 54 47 38 423 350 270 228 185 131 327 274 214 182 148 106

399 309 260 208 141 396 328 255 215 174 120 272 231 182 156 129 91 49 44 38 31 412 341 264 223 181 128 312 262 205 174 143 102

391 303 255 205 139 382 317 246 209 170 117 250 213 170 146 120 87 40 36 31 25 401 332 257 217 177 126 296 349 196 167 136 99

382 296 250 201 137 368 306 238 202 164 114 226 195 156 135 111 82 34 31 26 21 390 323 250 212 172 123 280 236 186 159 130 95

373 289 244 197 135 353 294 229 194 158 111 202 176 142 123 102 76 29 26 23 18 378 313 243 206 167 120 263 222 176 150 123 91

364 282 238 193 133 338 282 220 187 152 108 176 155 127 111 92 70 16 365 303 235 199 162 118 245 208 166 141 116 87

354 275 232 189 131 322 269 210 179 146 104 153 135 111 98 82 63 352 293 228 193 157 115 226 193 154 132 109 82

345 268 226 184 128 305 256 200 170 139 101 134 119 98 86 72 56 338 282 220 186 152 111 206 177 143 123 101 77

334 260 220 179 126 288 242 190 162 132 97 119 105 87 76 64 50 324 271 211 179 146 108 185 161 131 112 93 73

324 252 213 173 123 270 228 179 153 125 93 106 94 77 68 57 44 310 259 202 172 141 105 165 144 118 102 85 66

313 244 206 168 120 251 213 168 144 118 88 95 84 69 61 51 40 295 247 194 165 135 101 148 129 106 92 77 59

302 235 199 162 117 231 197 157 135 110 84 86 76 63 55 46 36 279 235 184 157 128 97 134 117 96 83 69 53

290 227 192 157 114 211 181 145 125 102 78 78 69 57 50 42 32 263 222 175 149 122 93 121 106 87 75 63 48

278 218 185 151 110 192 165 133 115 94 73 71 63 52 45 38 30 247 209 165 141 116 89 111 96 79 68 57 44

266 209 177 145 107 176 151 121 105 86 67 65 57 47 41 35 28 230 195 155 132 109 84 101 88 72 63 52 40

253 199 169 138 103 162 139 111 96 79 61 60 53 43 38 32 25 212 181 144 114 102 79 93 81 67 57 48 38

241 189 161 132 99 149 128 103 89 73 57 55 49 40 35 30 23 195 167 133 115 95 73 86 75 61 53 44 34

227 179 153 125 95 138 118 95 82 68 52 37 32 27 21 181 154 123 106 88 68 79 69 57 49 41 32

214 169 144 119 90 128 110 88 76 63 49 34 30 25 20 168 143 114 98 81 63 73 64 53 45 38 29

200 159 136 112 85 119 102 82 71 58 45 24 18 156 133 106 91 76 59 68 60 49 42 35 27

186 148 127 105 80 111 95 76 66 54 42 145 124 99 85 71 55 64 56 46 39 33 25

174 138 119 98 75 103 89 71 62 51 39 136 116 93 80 66 51 59 52 43 37 31 24

163 130 111 92 70 97 83 67 58 48 37 127 109 87 75 62 48 56 49 40 34 29 22

153 122 104 86 66 91 78 63 54 45 35 119 102 81 70 58 45 52 46 37 32 27 21

144 114 98 81 62 86 73 59 51 42 32 112 96 77 66 55 42 35 30 25 20

135 108 92 76 58 81 69 56 48 39 31 106 90 72 62 51 40 29 24 18

128 102 87 72 55 76 65 52 45 37 29 100 85 68 59 48 37 17

121 96 82 68 52 72 62 50 43 35 27 94 81 64 55 46 35

114 91 78 64 49 68 58 47 40 33 26 89 76 61 52 43 34

108 86 74 61 47 64 55 44 38 32 24 85 72 58 50 41 32

103 82 70 58 44 61 53 42 36 30 23 80 69 55 47 39 30

98 78 67 55 42 40 35 29 22 76 65 52 45 37 29


Area, In² 15.30 11.80 9.92 8.03 6.06 16.40 13.50 10.40 8.76 7.10 5.37 14.00 11.60 8.97 7.59 6.17 4.67 7.58 6.43 5.24 3.98 16.40 13.50 10.40 8.76 7.10 5.37 14.0 11.6 8.97 7.59 6.17 4.67

Ix, In4 214 169 145 119 91.4 201 171 137 118 96.9 74.6 149 129 104 90.1 74.7 57.8 71.7 62.6 52.5 41 174 149 119 102 84.1 64.7 133 115 92.5 79.8 66.1 51.1

ly, In4 151 120 103 84.7 65.1 89.4 76.8 61.8 53.3 44.1 34.1 33.4 29.4 24.3 21.2 17.7 13.9 4.69 4.24 3.67 2.97 117 100 80.4 69.2 57.2 41.1 51.9 45.2 36.8 32.0 26.6 20.7

Ratio rx/ry 1.19 1.19 1.19 1.19 1.18 1.50 1.49 1.49 1.49 1.48 1.48 2.11 2.09 2.07 2.06 2.05 2.04 3.91 3.84 3.78 3.72 1.22 1.22 1.33 1.21 1.21 1.21 1.60 1.60 1.59 1.58 1.58 1.57

ry, ‘In. 3.14 3.19 3.22 3.25 3.28 2.34 2.39 2.44 2.47 2.52 2.52 1.54 1.59 1.64 1.67 1.70 1.72 0.79 0.81 0.84 0.86 2.68 2.73 2.70 2.81 2.84 2.87 1.92 1.97 2.03 2.05 2.08 2.10

Bx, Bending Factor 0.357 0.349 0.342 0.337 0.332 0.408 0.395 0.380 0.371 0.366 0.360 0.470 0.450 0.431 0.421 0.413 0.404 0.529 0.514 0.499 0.485 0.424 0.408 0.393 0.386 0.380 0.373 0.474 0.454 0.436 0.428 0.420 0.411

By, Bending Factor 0.405 0.393 0.385 0.379 0.372 0.550 0.527 0.505 0.493 0.483 0.472 0.838 0.789 0.738 0.716 0.697 0.672 1.620 1.520 1.430 1.340 0.491 0.473 0.453 0.443 0.434 0.426 0.674 0.642 0.609 0.593 0.580 0.564

ax, ÷ 106 32.00 25.20 21.70 17.80 13.60 30.00 25.50 20.50 17.60 14.50 11.10 22.30 19.30 15.50 13.50 11.20 8.63 10.70 9.35 7.84 6.12 26.00 22.30 17.80 15.20 12.60 9.66 19.90 17.20 13.80 11.90 9.87 7.63

ay, ÷106 22.50 17.90 15.40 12.60 9.72 13.40 11.50 9.23 7.96 6.59 5.09 4.99 4.39 3.63 3.17 2.64 2.08 0.70 0.63 0.548 0.444 17.50 14.90 12.00 10.30 8.54 6.59 7.75 6.75 5.50 4.78 3.97 3.09

Fy=50

ERW

15



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

Weight per Foot 35.24 27.48 23.34 19.02 14.53 50.81 42.05 32.58 27.59 22.43 17.08 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 22.37 19.08 15.62 11.97 8.16 42.30 35.24 27.48 23.34 19.02 14.53 9.86

Design Wall Thickness 0.465 0.349 0.291 0.233 .174* 0.581 0.465 0.349 0.291 0.233 .174* 0.581 0.465 0.349 0.291 0.233 .174* .116* 0.465 0.349 0.291 0.233 .174* .116* 0.349 0.291 0.233 .174* .116* 0.581 0.465 0.349 0.291 0.233 .174* .116*


Eff

ectiv

e le

ngth

KL

in f

eet

292 227 193 157 105 420 348 269 228 185 132 351 292 227 193 157 111 64 264 206 176 143 101 57 185 158 129 91 51 351 292 227 193 157 118 68

275 215 182 149 101 409 339 262 222 181 139 336 280 218 185 151 108 62 249 195 166 135 97 55 167 143 117 85 48 339 283 220 187 152 115 67

263 206 175 143 98 402 334 258 219 178 128 326 272 213 181 147 106 61 238 187 159 130 94 54 154 132 109 80 46 332 277 216 183 149 113 66

250 196 167 137 95 394 327 254 215 175 126 315 264 206 175 143 104 60 225 178 152 124 91 52 138 120 99 75 43 324 270 211 179 146 111 65

235 185 158 130 91 386 321 249 211 171 124 303 254 199 169 138 101 59 212 168 144 118 87 50 121 105 88 68 40 314 263 205 174 142 108 64

218 173 148 122 87 377 313 243 206 168 122 289 243 191 162 133 98 57 196 156 134 110 83 49 101 89 76 59 37 304 255 199 169 138 105 63

200 160 137 113 83 367 306 237 201 164 120 274 231 182 155 127 95 56 179 144 124 102 78 46 79 71 62 49 33 294 246 193 164 134 102 61

180 145 126 104 77 357 297 231 196 160 117 259 219 173 147 121 91 54 161 131 113 94 73 44 60 55 48 39 28 282 237 186 158 130 99 60

158 130 113 94 72 346 289 225 191 155 115 242 205 163 139 114 87 52 142 117 102 84 66 41 48 43 38 31 22 270 227 178 152 125 95 58

135 113 99 84 65 335 279 218 185 151 112 224 191 152 130 107 83 50 121 101 89 74 59 38 39 35 30 25 18 257 217 171 146 120 91 57

112 95 85 72 56 322 270 211 179 146 109 205 176 141 121 100 77 47 100 85 76 64 51 35 32 29 25 20 15 243 206 162 139 114 87 55

94 80 71 61 48 310 259 203 172 141 106 184 160 129 111 92 71 45 84 71 64 54 43 30 27 24 21 17 12 228 194 154 132 108 83 53

80 68 61 52 41 296 249 195 166 136 102 163 143 117 101 84 65 42 71 61 54 46 36 26 21 18 15 11 213 182 145 124 102 79 50

69 59 52 45 35 283 238 187 159 130 99 141 125 104 90 76 59 39 62 52 47 39 31 22 13 9 197 169 135 116 96 74 48

60 51 46 39 31 268 226 178 152 124 95 123 109 91 79 67 52 36 54 46 41 34 27 18 181 156 125 108 90 69 46

53 45 40 34 27 253 214 169 144 119 91 108 96 80 69 58 46 32 47 40 36 30 24 17 163 142 115 100 83 64 43

47 40 35 30 24 238 202 160 137 112 86 96 85 71 61 52 41 28 42 36 32 27 21 15 145 128 104 91 76 59 40

42 36 32 27 21 221 189 150 129 106 81 85 76 63 55 46 36 25 37 32 28 24 19 14 130 114 93 82 68 53 37

38 32 28 24 19 204 175 141 120 99 76 77 68 56 49 41 33 23 33 28 25 21 17 12 116 102 84 73 61 48 33

29 26 22 17 187 161 130 112 92 71 69 61 51 44 37 29 20 26 23 19 15 11 105 92 75 66 55 43 30

20 16 170 147 119 103 85 66 63 56 46 40 34 27 19 14 10 95 84 68 60 50 39 27

155 134 109 94 78 61 57 51 42 37 31 24 17 87 76 62 55 46 36 25

141 122 100 86 71 55 52 46 39 33 28 22 15 79 70 57 50 42 33 23

130 112 91 79 66 51 48 43 35 31 26 20 14 73 64 52 46 39 30 21

120 104 84 73 60 47 44 39 33 28 24 19 13 67 59 48 42 35 28 19

111 96 78 67 56 43 36 30 26 22 17 12 62 55 45 39 33 26 18

103 89 72 62 52 40 24 21 16 11 58 51 41 36 30 24 16

95 83 67 58 48 37 15 10 54 47 39 34 28 22 15

89 77 63 54 45 35 50 44 36 31 26 21 14

83 72 59 50 42 33 47 41 34 29 25 19 13

78 67 55 47 39 30 44 38 31 27 23 18 12

73 63 51 44 37 29 29 26 22 17 12

69 59 48 42 35 27 24 20 16 11

65 56 46 39 33 25 15 10

61 53 43 37 31 24

58 50 41 35 29 23

55 47 38 33 28 21

45 36 31 26 20

35 30 25 19

28 24 18


Area, In² 9.74 7.58 6.43 5.24 3.98 14.00 11.60 8.97 7.59 6.17 4.67 11.70 9.74 7.58 6.43 5.24 3.98 2.70 8.81 6.88 5.85 4.77 3.63 2.46 6.18 5.26 4.30 3.28 2.23 11.70 9.74 7.58 6.43 5.24 3.98 2.70

Ix, In4 80.8 66.3 57.7 48.2 34.6 114.0 98.2 79.1 68.3 56.6 43.7 81.9 71.7 58.7 51.0 42.5 33.1 22.9 58.5 48.5 42.4 35.5 27.8 19.3 38.2 33.7 28.5 22.4 15.7 69.3 60.6 49.5 43.0 35.8 27.9 19.3

ly, In4 13.2 11.2 9.88 8.38 6.63 72.2 62.5 50.6 43.8 36.4 28.2 26.6 23.6 19.6 17.2 14.4 11.3 7.9 11.7 9.9 8.81 7.49 5.94 4.2 3.73 3.38 2.94 2.39 1.72 40.5 35.6 29.2 25.5 21.3 16.6 11.6

Ratio rx/ry 2.47 2.43 2.42 2.40 2.38 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 2.24 2.21 2.19 2.18 2.16 2.14 3.20 3.16 3.11 3.06 3.02 1.31 1.30 1.30 1.30 1.30 1.30 1.29

ry, ‘In. 1.16 1.21 1.24 1.27 1.29 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 1.15 1.20 1.23 1.25 1.28 1.31 0.78 0.80 0.83 0.85 0.88 1.86 1.91 1.96 1.99 2.02 2.05 2.07

Bx, Bending Factor 0.542 0.514 0.501 0.489 0.476 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 .602 0.567 0.552 0.537 0.522 0.510 0.647 0.624 0.604 0.586 0.568 0.591 0.563 0.536 0.523 0.512 0.499 0.490

By, Bending Factor 1.110 1.020 0.976 0.938 0.900 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 1.130 1.040 0.996 0.955 0.917 0.879 1.66 1.56 1.46 1.37 1.30 0.722 0.684 0.649 0.630 0.615 0.599 0.582

ax, ÷ 106 12.10 9.90 8.62 7.20 5.61 17.00 14.70 11.80 10.20 8.45 6.53 12.20 10.70 8.77 7.62 6.35 4.94 3.42 8.74 7.24 6.33 5.30 4.15 2.88 5.70 5.03 4.26 3.35 2.34 10.30 9.05 7.39 6.42 5.35 4.17 2.88

ay, ÷106 1.98 1.67 1.48 1.25 0.99 10.80 9.33 7.56 6.54 5.44 4.21 3.97 3.52 2.93 2.57 2.15 1.69 1.18 1.75 1.48 1.32 1.12 0.887 0.627 0.556 0.505 0.439 0.357 0.257 6.05 5.32 4.36 3.81 3.18 2.48 1.73

Fy=50

ERW

16



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

Weight per Foot 35.24 27.48 23.34 19.02 14.53 50.81 42.05 32.58 27.59 22.43 17.08 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 22.37 19.08 15.62 11.97 8.16 42.30 35.24 27.48 23.34 19.02 14.53 9.86

Design Wall Thickness 0.465 0.349 0.291 0.233 .174* 0.581 0.465 0.349 0.291 0.233 .174* 0.581 0.465 0.349 0.291 0.233 .174* .116* 0.465 0.349 0.291 0.233 .174* .116* 0.349 0.291 0.233 .174* .116* 0.581 0.465 0.349 0.291 0.233 .174* .116*


Eff

ectiv

e le

ngth

KL

in f

eet

292 227 193 157 105 420 348 269 228 185 132 351 292 227 193 157 111 64 264 206 176 143 101 57 185 158 129 91 51 351 292 227 193 157 118 68

275 215 182 149 101 409 339 262 222 181 139 336 280 218 185 151 108 62 249 195 166 135 97 55 167 143 117 85 48 339 283 220 187 152 115 67

263 206 175 143 98 402 334 258 219 178 128 326 272 213 181 147 106 61 238 187 159 130 94 54 154 132 109 80 46 332 277 216 183 149 113 66

250 196 167 137 95 394 327 254 215 175 126 315 264 206 175 143 104 60 225 178 152 124 91 52 138 120 99 75 43 324 270 211 179 146 111 65

235 185 158 130 91 386 321 249 211 171 124 303 254 199 169 138 101 59 212 168 144 118 87 50 121 105 88 68 40 314 263 205 174 142 108 64

218 173 148 122 87 377 313 243 206 168 122 289 243 191 162 133 98 57 196 156 134 110 83 49 101 89 76 59 37 304 255 199 169 138 105 63

200 160 137 113 83 367 306 237 201 164 120 274 231 182 155 127 95 56 179 144 124 102 78 46 79 71 62 49 33 294 246 193 164 134 102 61

180 145 126 104 77 357 297 231 196 160 117 259 219 173 147 121 91 54 161 131 113 94 73 44 60 55 48 39 28 282 237 186 158 130 99 60

158 130 113 94 72 346 289 225 191 155 115 242 205 163 139 114 87 52 142 117 102 84 66 41 48 43 38 31 22 270 227 178 152 125 95 58

135 113 99 84 65 335 279 218 185 151 112 224 191 152 130 107 83 50 121 101 89 74 59 38 39 35 30 25 18 257 217 171 146 120 91 57

112 95 85 72 56 322 270 211 179 146 109 205 176 141 121 100 77 47 100 85 76 64 51 35 32 29 25 20 15 243 206 162 139 114 87 55

94 80 71 61 48 310 259 203 172 141 106 184 160 129 111 92 71 45 84 71 64 54 43 30 27 24 21 17 12 228 194 154 132 108 83 53

80 68 61 52 41 296 249 195 166 136 102 163 143 117 101 84 65 42 71 61 54 46 36 26 21 18 15 11 213 182 145 124 102 79 50

69 59 52 45 35 283 238 187 159 130 99 141 125 104 90 76 59 39 62 52 47 39 31 22 13 9 197 169 135 116 96 74 48

60 51 46 39 31 268 226 178 152 124 95 123 109 91 79 67 52 36 54 46 41 34 27 18 181 156 125 108 90 69 46

53 45 40 34 27 253 214 169 144 119 91 108 96 80 69 58 46 32 47 40 36 30 24 17 163 142 115 100 83 64 43

47 40 35 30 24 238 202 160 137 112 86 96 85 71 61 52 41 28 42 36 32 27 21 15 145 128 104 91 76 59 40

42 36 32 27 21 221 189 150 129 106 81 85 76 63 55 46 36 25 37 32 28 24 19 14 130 114 93 82 68 53 37

38 32 28 24 19 204 175 141 120 99 76 77 68 56 49 41 33 23 33 28 25 21 17 12 116 102 84 73 61 48 33

29 26 22 17 187 161 130 112 92 71 69 61 51 44 37 29 20 26 23 19 15 11 105 92 75 66 55 43 30

20 16 170 147 119 103 85 66 63 56 46 40 34 27 19 14 10 95 84 68 60 50 39 27

155 134 109 94 78 61 57 51 42 37 31 24 17 87 76 62 55 46 36 25

141 122 100 86 71 55 52 46 39 33 28 22 15 79 70 57 50 42 33 23

130 112 91 79 66 51 48 43 35 31 26 20 14 73 64 52 46 39 30 21

120 104 84 73 60 47 44 39 33 28 24 19 13 67 59 48 42 35 28 19

111 96 78 67 56 43 36 30 26 22 17 12 62 55 45 39 33 26 18

103 89 72 62 52 40 24 21 16 11 58 51 41 36 30 24 16

95 83 67 58 48 37 15 10 54 47 39 34 28 22 15

89 77 63 54 45 35 50 44 36 31 26 21 14

83 72 59 50 42 33 47 41 34 29 25 19 13

78 67 55 47 39 30 44 38 31 27 23 18 12

73 63 51 44 37 29 29 26 22 17 12

69 59 48 42 35 27 24 20 16 11

65 56 46 39 33 25 15 10

61 53 43 37 31 24

58 50 41 35 29 23

55 47 38 33 28 21

45 36 31 26 20

35 30 25 19

28 24 18


Area, In² 9.74 7.58 6.43 5.24 3.98 14.00 11.60 8.97 7.59 6.17 4.67 11.70 9.74 7.58 6.43 5.24 3.98 2.70 8.81 6.88 5.85 4.77 3.63 2.46 6.18 5.26 4.30 3.28 2.23 11.70 9.74 7.58 6.43 5.24 3.98 2.70

Ix, In4 80.8 66.3 57.7 48.2 34.6 114.0 98.2 79.1 68.3 56.6 43.7 81.9 71.7 58.7 51.0 42.5 33.1 22.9 58.5 48.5 42.4 35.5 27.8 19.3 38.2 33.7 28.5 22.4 15.7 69.3 60.6 49.5 43.0 35.8 27.9 19.3

ly, In4 13.2 11.2 9.88 8.38 6.63 72.2 62.5 50.6 43.8 36.4 28.2 26.6 23.6 19.6 17.2 14.4 11.3 7.9 11.7 9.9 8.81 7.49 5.94 4.2 3.73 3.38 2.94 2.39 1.72 40.5 35.6 29.2 25.5 21.3 16.6 11.6

Ratio rx/ry 2.47 2.43 2.42 2.40 2.38 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 2.24 2.21 2.19 2.18 2.16 2.14 3.20 3.16 3.11 3.06 3.02 1.31 1.30 1.30 1.30 1.30 1.30 1.29

ry, ‘In. 1.16 1.21 1.24 1.27 1.29 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 1.15 1.20 1.23 1.25 1.28 1.31 0.78 0.80 0.83 0.85 0.88 1.86 1.91 1.96 1.99 2.02 2.05 2.07

Bx, Bending Factor 0.542 0.514 0.501 0.489 0.476 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 .602 0.567 0.552 0.537 0.522 0.510 0.647 0.624 0.604 0.586 0.568 0.591 0.563 0.536 0.523 0.512 0.499 0.490


ax, ÷ 106 12.10 9.90 8.62 7.20 5.61 17.00 14.70 11.80 10.20 8.45 6.53 12.20 10.70 8.77 7.62 6.35 4.94 3.42 8.74 7.24 6.33 5.30 4.15 2.88 5.70 5.03 4.26 3.35 2.34 10.30 9.05 7.39 6.42 5.35 4.17 2.88

ay, ÷106 1.98 1.67 1.48 1.25 0.99 10.80 9.33 7.56 6.54 5.44 4.21 3.97 3.52 2.93 2.57 2.15 1.69 1.18 1.75 1.48 1.32 1.12 0.887 0.627 0.556 0.505 0.439 0.357 0.257 6.05 5.32 4.36 3.81 3.18 2.48 1.73

Fy=50

ERW

17


Nominal Outside 7 x 4 7 x 3 6 x 5 6 x 4 6 x 3 6 x 2 5 x 4

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

Weight per Foot 31.84 24.93 21.21 17.32 13.25 9.01 28.43 22.37 19.06 15.62 11.97 8.16 24.93 21.21 17.32 13.25 28.43 22.37 19.08 15.62 11.97 8.16 19.82 16.96 13.91 10.70 7.31 17.27 14.83 12.21 9.42 6.46 19.82 16.96 13.91 10.70

Design Wall Thickness 0.465 0.349 0.291 0.233 .174* .116* 0.465 0.349 0.291 0.233 .174* .116* 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174


Eff

ectiv

e le

ngth

KL

in f

eet

264 206 176 143 107 62 236 185 158 129 97 55 206 176 143 109 236 185 158 129 98 60 164 140 115 88 53 143 123 101 77 47 164 140 115 88

253 198 169 138 104 60 222 175 149 122 93 53 200 170 139 106 226 178 151 124 95 58 155 132 109 83 51 129 111 92 70 44 157 135 110 84

246 193 164 134 102 59 212 168 143 117 90 52 196 166 136 104 220 173 147 121 92 57 148 127 104 80 50 118 102 85 65 41 153 131 107 82

238 186 159 130 99 58 201 159 136 112 86 50 191 163 133 101 212 167 143 117 89 56 141 121 100 76 48 106 92 77 60 39 148 126 104 80

229 180 153 125 96 56 189 150 128 106 81 48 186 158 129 99 204 161 137 113 86 54 132 114 94 72 46 92 81 68 53 36 142 122 100 77

219 172 147 121 92 55 175 140 120 99 76 46 180 154 126 96 194 154 132 108 83 53 123 106 88 68 44 76 68 58 46 32 136 116 96 74

208 164 140 115 88 53 160 129 111 92 71 44 174 149 122 93 184 146 125 103 79 51 113 97 81 63 41 58 53 47 38 24 129 111 91 70

196 155 133 110 84 51 143 117 101 84 65 41 168 143 117 90 174 138 119 98 75 49 102 88 74 58 39 45 41 36 29 21 121 104 86 67

183 146 126 103 79 49 125 104 90 75 59 39 161 137 113 86 162 130 112 92 71 47 90 79 66 52 36 35 32 28 23 17 114 98 81 63

170 136 117 97 74 47 106 90 78 66 52 35 153 131 108 83 150 121 104 86 66 44 77 68 58 46 32 29 26 23 19 14 105 91 76 59

156 126 109 90 69 45 88 75 66 57 45 31 146 125 103 79 137 111 96 80 62 42 64 57 49 39 28 24 22 19 15 11 97 84 70 54

141 115 100 73 64 42 74 63 55 48 38 27 138 118 97 75 123 101 88 73 57 39 54 48 41 33 23 20 18 16 13 9 87 76 64 50

126 103 90 75 58 39 63 54 47 41 32 23 129 111 92 71 108 90 79 66 51 36 46 41 35 28 20 15 14 11 8 77 67 57 45

109 91 80 67 52 36 54 46 41 35 28 20 120 104 86 66 94 79 69 59 46 32 40 35 30 24 17 7 67 59 50 40

95 79 70 59 46 32 47 40 35 30 24 17 111 96 80 62 82 68 61 51 40 28 35 31 26 21 15 58 51 44 35

84 70 61 52 41 28 41 35 31 27 21 15 101 88 73 57 72 60 53 45 35 25 30 27 23 19 13 51 45 38 30

74 62 54 46 36 25 37 31 28 24 19 13 91 80 67 52 64 53 47 40 31 22 28 24 21 16 12 45 40 34 27

66 55 49 41 32 22 33 28 25 21 17 12 81 71 60 47 57 48 42 36 28 20 24 21 18 15 10 41 36 30 24

59 49 44 37 29 20 29 25 22 19 15 11 73 64 54 42 51 43 38 32 25 18 22 19 16 13 9 36 32 27 22

53 45 39 33 26 18 20 17 14 10 66 58 48 38 46 38 34 29 23 16 15 12 8 33 29 25 19

48 40 36 30 24 17 12 9 60 52 44 34 42 35 31 26 20 14 8 30 26 22 18

44 37 32 27 21 15 54 48 40 31 38 32 28 24 19 13 27 24 20 16

40 34 30 25 20 14 50 44 37 29 35 29 26 22 17 12 25 22 19 15

37 31 27 23 18 13 46 40 34 26 32 27 24 20 16 11 23 20 17 14

34 28 25 21 17 12 42 37 31 24 29 25 22 18 14 10 21 18 16 12

26 23 20 15 11 39 34 29 22 20 17 13 9 15 12

18 14 10 36 32 27 21 12 9

9 34 29 25 19

31 27 23 18

29 26 22 17

27 24 20 16

26 23 19 15

18 14


Area, In² 8.81 6.88 5.85 4.77 3.63 2.46 7.88 6.18 5.26 4.30 3.28 2.23 6.88 5.85 4.77 3.63 7.88 6.18 5.26 4.30 3.28 2.23 5.48 4.68 3.84 2.93 2.00 4.78 4.10 3.37 2.58 1.77 5.48 4.68 3.84 2.93

Ix, In4 50.6 41.8 36.4 30.5 23.8 16.6 40.7 34.0 29.9 25.2 19.8 13.8 33.9 29.6 24.7 19.3 33.9 28.3 24.8 20.9 16.4 11.4 22.7 20.1 17 13.4 9.43 17.1 15.3 13.1 10.5 7.42 17.9 15.8 13.4 10.6

ly, In4 20.7 17.3 15.2 12.8 10 7.03 10.2 8.70 7.74 6.59 5.24 3.71 25.5 22.3 18.7 14.6 17.7 14.9 13.1 11.1 8.76 6.15 7.47 6.66 5.7 4.55 3.23 2.75 2.52 2.21 1.8 1.31 12.6 11.1 9.46 7.48

Ratio rx/ry 1.56 1.55 1.55 1.54 1.54 1.54 2.00 1.98 1.97 1.96 1.94 1.93 1.15 1.15 1.15 1.15 1.38 1.38 1.38 1.37 1.37 1.36 1.74 1.74 1.73 1.72 1.71 2.49 2.46 2.43 2.42 2.38 1.19 1.19 1.19 1.19

ry, ‘In. 1.53 1.58 1.61 1.64 1.66 1.69 1.14 1.19 1.21 1.24 1.26 1.29 1.92 1.95 1.98 2.01 1.50 1.55 1.58 1.61 1.63 1.66 1.17 1.19 1.22 1.25 1.27 0.759 0.784 0.809 0.835 0.86 1.52 1.54 1.57 1.60

Bx, Bending Factor 0.609 0.576 0.563 0.547 0.534 0.519 0.678 0.636 0.616 0.597 0.580 0.566 0.609 0.593 0.579 0.564 0.697 0.655 0.636 0.617 0.600 0.587 0.724 0.699 0.678 0.656 0.636 0.839 0.804 0.772 0.737 0.716 0.765 0.741 0.716 0.691


ax, ÷ 106 7.56 6.20 5.44 4.55 3.55 2.48 6.08 5.08 4.47 3.76 2.96 2.06 5.06 4.40 3.69 2.88 5.06 4.23 3.70 3.12 2.45 1.70 3.39 3.00 2.54 2.00 1.41 2.55 2.28 1.96 1.57 1.11 2.67 2.36 2.00 1.58

ay, ÷106 3.09 2.58 2.27 1.91 1.49 1.05 1.52 1.30 1.16 0.984 0.782 0.554 3.81 3.33 2.79 2.18 2.64 2.23 1.96 1.66 1.31 0.92 1.12 0.995 0.851 0.679 0.482 0.411 0.376 0.330 0.269 0.196 1.88 1.66 1.41 1.12

Fy=50

ERW

18


Nominal Outside 7 x 4 7 x 3 6 x 5 6 x 4 6 x 3 6 x 2 5 x 4

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

Weight per Foot 31.84 24.93 21.21 17.32 13.25 9.01 28.43 22.37 19.06 15.62 11.97 8.16 24.93 21.21 17.32 13.25 28.43 22.37 19.08 15.62 11.97 8.16 19.82 16.96 13.91 10.70 7.31 17.27 14.83 12.21 9.42 6.46 19.82 16.96 13.91 10.70

Design Wall Thickness 0.465 0.349 0.291 0.233 .174* .116* 0.465 0.349 0.291 0.233 .174* .116* 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174


Eff

ectiv

e le

ngth

KL

in f

eet

264 206 176 143 107 62 236 185 158 129 97 55 206 176 143 109 236 185 158 129 98 60 164 140 115 88 53 143 123 101 77 47 164 140 115 88

253 198 169 138 104 60 222 175 149 122 93 53 200 170 139 106 226 178 151 124 95 58 155 132 109 83 51 129 111 92 70 44 157 135 110 84

246 193 164 134 102 59 212 168 143 117 90 52 196 166 136 104 220 173 147 121 92 57 148 127 104 80 50 118 102 85 65 41 153 131 107 82

238 186 159 130 99 58 201 159 136 112 86 50 191 163 133 101 212 167 143 117 89 56 141 121 100 76 48 106 92 77 60 39 148 126 104 80

229 180 153 125 96 56 189 150 128 106 81 48 186 158 129 99 204 161 137 113 86 54 132 114 94 72 46 92 81 68 53 36 142 122 100 77

219 172 147 121 92 55 175 140 120 99 76 46 180 154 126 96 194 154 132 108 83 53 123 106 88 68 44 76 68 58 46 32 136 116 96 74

208 164 140 115 88 53 160 129 111 92 71 44 174 149 122 93 184 146 125 103 79 51 113 97 81 63 41 58 53 47 38 24 129 111 91 70

196 155 133 110 84 51 143 117 101 84 65 41 168 143 117 90 174 138 119 98 75 49 102 88 74 58 39 45 41 36 29 21 121 104 86 67

183 146 126 103 79 49 125 104 90 75 59 39 161 137 113 86 162 130 112 92 71 47 90 79 66 52 36 35 32 28 23 17 114 98 81 63

170 136 117 97 74 47 106 90 78 66 52 35 153 131 108 83 150 121 104 86 66 44 77 68 58 46 32 29 26 23 19 14 105 91 76 59

156 126 109 90 69 45 88 75 66 57 45 31 146 125 103 79 137 111 96 80 62 42 64 57 49 39 28 24 22 19 15 11 97 84 70 54

141 115 100 73 64 42 74 63 55 48 38 27 138 118 97 75 123 101 88 73 57 39 54 48 41 33 23 20 18 16 13 9 87 76 64 50

126 103 90 75 58 39 63 54 47 41 32 23 129 111 92 71 108 90 79 66 51 36 46 41 35 28 20 15 14 11 8 77 67 57 45

109 91 80 67 52 36 54 46 41 35 28 20 120 104 86 66 94 79 69 59 46 32 40 35 30 24 17 7 67 59 50 40

95 79 70 59 46 32 47 40 35 30 24 17 111 96 80 62 82 68 61 51 40 28 35 31 26 21 15 58 51 44 35

84 70 61 52 41 28 41 35 31 27 21 15 101 88 73 57 72 60 53 45 35 25 30 27 23 19 13 51 45 38 30

74 62 54 46 36 25 37 31 28 24 19 13 91 80 67 52 64 53 47 40 31 22 28 24 21 16 12 45 40 34 27

66 55 49 41 32 22 33 28 25 21 17 12 81 71 60 47 57 48 42 36 28 20 24 21 18 15 10 41 36 30 24

59 49 44 37 29 20 29 25 22 19 15 11 73 64 54 42 51 43 38 32 25 18 22 19 16 13 9 36 32 27 22

53 45 39 33 26 18 20 17 14 10 66 58 48 38 46 38 34 29 23 16 15 12 8 33 29 25 19

48 40 36 30 24 17 12 9 60 52 44 34 42 35 31 26 20 14 8 30 26 22 18

44 37 32 27 21 15 54 48 40 31 38 32 28 24 19 13 27 24 20 16

40 34 30 25 20 14 50 44 37 29 35 29 26 22 17 12 25 22 19 15

37 31 27 23 18 13 46 40 34 26 32 27 24 20 16 11 23 20 17 14

34 28 25 21 17 12 42 37 31 24 29 25 22 18 14 10 21 18 16 12

26 23 20 15 11 39 34 29 22 20 17 13 9 15 12

18 14 10 36 32 27 21 12 9

9 34 29 25 19

31 27 23 18

29 26 22 17

27 24 20 16

26 23 19 15

18 14


Area, In² 8.81 6.88 5.85 4.77 3.63 2.46 7.88 6.18 5.26 4.30 3.28 2.23 6.88 5.85 4.77 3.63 7.88 6.18 5.26 4.30 3.28 2.23 5.48 4.68 3.84 2.93 2.00 4.78 4.10 3.37 2.58 1.77 5.48 4.68 3.84 2.93

Ix, In4 50.6 41.8 36.4 30.5 23.8 16.6 40.7 34.0 29.9 25.2 19.8 13.8 33.9 29.6 24.7 19.3 33.9 28.3 24.8 20.9 16.4 11.4 22.7 20.1 17 13.4 9.43 17.1 15.3 13.1 10.5 7.42 17.9 15.8 13.4 10.6

ly, In4 20.7 17.3 15.2 12.8 10 7.03 10.2 8.70 7.74 6.59 5.24 3.71 25.5 22.3 18.7 14.6 17.7 14.9 13.1 11.1 8.76 6.15 7.47 6.66 5.7 4.55 3.23 2.75 2.52 2.21 1.8 1.31 12.6 11.1 9.46 7.48

Ratio rx/ry 1.56 1.55 1.55 1.54 1.54 1.54 2.00 1.98 1.97 1.96 1.94 1.93 1.15 1.15 1.15 1.15 1.38 1.38 1.38 1.37 1.37 1.36 1.74 1.74 1.73 1.72 1.71 2.49 2.46 2.43 2.42 2.38 1.19 1.19 1.19 1.19

ry, ‘In. 1.53 1.58 1.61 1.64 1.66 1.69 1.14 1.19 1.21 1.24 1.26 1.29 1.92 1.95 1.98 2.01 1.50 1.55 1.58 1.61 1.63 1.66 1.17 1.19 1.22 1.25 1.27 0.759 0.784 0.809 0.835 0.86 1.52 1.54 1.57 1.60

Bx, Bending Factor 0.609 0.576 0.563 0.547 0.534 0.519 0.678 0.636 0.616 0.597 0.580 0.566 0.609 0.593 0.579 0.564 0.697 0.655 0.636 0.617 0.600 0.587 0.724 0.699 0.678 0.656 0.636 0.839 0.804 0.772 0.737 0.716 0.765 0.741 0.716 0.691


ax, ÷ 106 7.56 6.20 5.44 4.55 3.55 2.48 6.08 5.08 4.47 3.76 2.96 2.06 5.06 4.40 3.69 2.88 5.06 4.23 3.70 3.12 2.45 1.70 3.39 3.00 2.54 2.00 1.41 2.55 2.28 1.96 1.57 1.11 2.67 2.36 2.00 1.58

ay, ÷106 3.09 2.58 2.27 1.91 1.49 1.05 1.52 1.30 1.16 0.984 0.782 0.554 3.81 3.33 2.79 2.18 2.64 2.23 1.96 1.66 1.31 0.92 1.12 0.995 0.851 0.679 0.482 0.411 0.376 0.330 0.269 0.196 1.88 1.66 1.41 1.12

Fy=50

ERW

19


Nominal Outside 5 x 3 5 x 2 4 x 3 4 x 2 3 x 2 3 x 1½ 2½ x 1½

Wall Thickness 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8 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 1/8 1/4 3/16 1/8 1/4 3/16 1/8

Weight per Foot 17.27 14.83 12.21 9.42 6.46 14.72 12.70 10.51 8.15 5.61 14.72 12.70 10.51 8.15 5.61 12.17 10.58 8.81 6.87 4.75 8.45 7.11 5.59 3.90 6.26 4.96 3.48 5.41 4.32 3.05

Design Wall Thickness 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 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 0.116 0.233 0.174 0.116 0.233 0.174 0.116


Eff

ectiv

e le

ngth

KL

in f

eet

143 123 101 77 51 123 106 87 67 44 123 106 87 67 46 102 88 73 57 39 71 59 46 32 52 41 29 45 36 25

135 116 95 73 49 110 95 79 61 41 115 99 82 63 44 91 79 66 51 35 63 53 42 29 44 35 25 38 30 22

129 111 91 70 47 101 87 73 57 39 110 95 79 61 42 83 73 61 48 33 57 49 38 27 38 31 22 33 26 19

122 105 87 67 45 90 79 66 51 36 104 90 75 58 40 73 65 55 43 30 51 43 35 24 31 25 19 26 22 16

114 99 82 63 43 77 68 58 46 32 97 84 70 54 38 63 56 48 38 27 43 37 30 21 22 19 14 19 16 12

106 92 76 59 41 63 57 49 39 28 89 78 65 51 35 51 46 40 32 23 35 31 25 18 6 13 10 13 11 9

97 84 70 55 38 48 44 38 32 23 81 71 60 47 32 38 35 31 26 19 26 23 20 15 11 10 8 9 8 6

87 76 64 50 35 37 34 30 25 18 72 63 54 42 29 29 27 24 20 15 20 18 15 11 9 8 6 7 6 5

76 67 57 45 31 29 27 24 19 14 63 55 47 38 26 23 21 19 16 11 16 14 12 9 7 6 5 6 5 4

64 58 49 39 28 24 22 19 16 11 52 47 40 33 23 19 17 15 13 9 13 11 10 7 4

53 48 41 33 24 20 18 16 13 9 43 39 34 27 19 15 14 13 10 8 11 9 8 6

45 40 34 28 20 16 15 13 11 8 36 32 28 23 16 13 12 11 9 6 9 8 7 5

38 34 29 24 17 11 9 7 31 28 24 19 14 7 5 4

33 30 25 20 15 6 27 24 21 17 12

29 26 22 18 13 23 21 18 15 10

25 23 19 16 11 20 18 16 13 9

22 20 17 14 10 18 16 14 11 8

20 18 15 12 9 16 14 13 10 7

18 16 14 11 8 11 9 6

10 7 6


Area, In² 4.78 4.10 3.37 2.58 1.77 4.09 3.52 2.91 2.24 1.54 4.09 3.52 2.91 2.24 1.54 3.39 2.94 2.44 1.89 1.30 2.35 1.97 1.54 1.07 1.74 1.37 0.96 1.51 1.19 0.84

Ix, In4 14.1 12.6 10.7 8.53 6.03 10.3 9.34 8.08 6.5 4.65 7.92 7.13 6.15 4.93 3.52 5.59 5.12 4.49 3.66 2.65 2.38 2.12 1.76 1.3 1.68 1.42 1.06 1.03 0.881 0.668

ly, In4 6.23 5.59 4.81 3.85 2.75 2.27 2.09 1.84 1.51 1.1 5 4.52 3.91 3.16 2.27 1.79 1.66 1.48 1.22 0.898 1.23 1.11 0.931 0.692 0.541 0.466 0.355 0.447 0.389 0.299

Ratio rx/ry 1.50 1.50 1.49 1.49 1.48 2.13 2.11 2.10 2.07 2.06 1.26 1.26 1.25 1.25 1.25 1.77 1.76 1.74 1.73 1.72 1.39 1.38 1.37 1.37 1.76 1.75 1.73 1.52 1.50 1.49

ry, ‘In. 1.14 1.17 1.19 1.22 1.25 0.746 0.771 0.796 0.822 0.848 1.11 1.13 1.16 1.19 1.21 0.727 0.752 0.778 0.804 0.830 0.724 0.750 0.777 0.804 0.558 0.584 0.620 0.544 0.571 0.597

Bx, Bending Factor 0.848 0.813 0.787 0.756 0.734 0.993 0.920 0.900 0.862 0.828 1.030 0.987 0.940 0.909 0.875 1.21 1.15 1.09 1.03 0.98 1.48 1.39 1.31 1.23 1.55 1.45 1.36 1.83 1.69 1.57

By, Bending Factor 1.15 1.10 1.05 1.01 0.965 1.80 1.68 1.58 1.48 1.40 1.23 1.17 1.12 1.06 1.02 1.89 1.77 1.65 1.55 1.45 1.91 1.77 1.65 1.55 2.41 2.20 2.03 2.53 2.29 2.11

ax, ÷ 106 2.11 1.88 1.60 1.27 0.90 1.54 1.39 1.21 0.97 0.69 1.18 1.06 0.92 0.74 0.53 0.835 0.765 0.670 0.547 0.396 0.355 0.317 0.263 0.194 0.251 0.212 0.158 0.15 0.13 0.10

ay, ÷106 0.93 0.835 0.718 0.575 0.411 0.339 0.312 0.275 0.225 0.164 0.747 0.675 0.584 0.472 0.339 0.267 0.248 0.221 0.182 0.134 0.184 0.166 0.139 0.103 0.081 0.070 0.053 0.067 0.058 0.045

Fy=50

ERW

20


Nominal Outside 5 x 3 5 x 2 4 x 3 4 x 2 3 x 2 3 x 1½ 2½ x 1½

Wall Thickness 3/8 5/16 1/4 3/16 1/8 3/8 5/16 1/4 3/16 1/8 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 1/8 1/4 3/16 1/8 1/4 3/16 1/8

Weight per Foot 17.27 14.83 12.21 9.42 6.46 14.72 12.70 10.51 8.15 5.61 14.72 12.70 10.51 8.15 5.61 12.17 10.58 8.81 6.87 4.75 8.45 7.11 5.59 3.90 6.26 4.96 3.48 5.41 4.32 3.05

Design Wall Thickness 0.349 0.291 0.233 0.174 .116* 0.349 0.291 0.233 0.174 .116* 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 0.116 0.233 0.174 0.116 0.233 0.174 0.116


Eff

ectiv

e le

ngth

KL

in f

eet

143 123 101 77 51 123 106 87 67 44 123 106 87 67 46 102 88 73 57 39 71 59 46 32 52 41 29 45 36 25

135 116 95 73 49 110 95 79 61 41 115 99 82 63 44 91 79 66 51 35 63 53 42 29 44 35 25 38 30 22

129 111 91 70 47 101 87 73 57 39 110 95 79 61 42 83 73 61 48 33 57 49 38 27 38 31 22 33 26 19

122 105 87 67 45 90 79 66 51 36 104 90 75 58 40 73 65 55 43 30 51 43 35 24 31 25 19 26 22 16

114 99 82 63 43 77 68 58 46 32 97 84 70 54 38 63 56 48 38 27 43 37 30 21 22 19 14 19 16 12

106 92 76 59 41 63 57 49 39 28 89 78 65 51 35 51 46 40 32 23 35 31 25 18 6 13 10 13 11 9

97 84 70 55 38 48 44 38 32 23 81 71 60 47 32 38 35 31 26 19 26 23 20 15 11 10 8 9 8 6

87 76 64 50 35 37 34 30 25 18 72 63 54 42 29 29 27 24 20 15 20 18 15 11 9 8 6 7 6 5

76 67 57 45 31 29 27 24 19 14 63 55 47 38 26 23 21 19 16 11 16 14 12 9 7 6 5 6 5 4

64 58 49 39 28 24 22 19 16 11 52 47 40 33 23 19 17 15 13 9 13 11 10 7 4

53 48 41 33 24 20 18 16 13 9 43 39 34 27 19 15 14 13 10 8 11 9 8 6

45 40 34 28 20 16 15 13 11 8 36 32 28 23 16 13 12 11 9 6 9 8 7 5

38 34 29 24 17 11 9 7 31 28 24 19 14 7 5 4

33 30 25 20 15 6 27 24 21 17 12

29 26 22 18 13 23 21 18 15 10

25 23 19 16 11 20 18 16 13 9

22 20 17 14 10 18 16 14 11 8

20 18 15 12 9 16 14 13 10 7

18 16 14 11 8 11 9 6

10 7 6


Area, In² 4.78 4.10 3.37 2.58 1.77 4.09 3.52 2.91 2.24 1.54 4.09 3.52 2.91 2.24 1.54 3.39 2.94 2.44 1.89 1.30 2.35 1.97 1.54 1.07 1.74 1.37 0.96 1.51 1.19 0.84

Ix, In4 14.1 12.6 10.7 8.53 6.03 10.3 9.34 8.08 6.5 4.65 7.92 7.13 6.15 4.93 3.52 5.59 5.12 4.49 3.66 2.65 2.38 2.12 1.76 1.3 1.68 1.42 1.06 1.03 0.881 0.668

ly, In4 6.23 5.59 4.81 3.85 2.75 2.27 2.09 1.84 1.51 1.1 5 4.52 3.91 3.16 2.27 1.79 1.66 1.48 1.22 0.898 1.23 1.11 0.931 0.692 0.541 0.466 0.355 0.447 0.389 0.299

Ratio rx/ry 1.50 1.50 1.49 1.49 1.48 2.13 2.11 2.10 2.07 2.06 1.26 1.26 1.25 1.25 1.25 1.77 1.76 1.74 1.73 1.72 1.39 1.38 1.37 1.37 1.76 1.75 1.73 1.52 1.50 1.49

ry, ‘In. 1.14 1.17 1.19 1.22 1.25 0.746 0.771 0.796 0.822 0.848 1.11 1.13 1.16 1.19 1.21 0.727 0.752 0.778 0.804 0.830 0.724 0.750 0.777 0.804 0.558 0.584 0.620 0.544 0.571 0.597

Bx, Bending Factor 0.848 0.813 0.787 0.756 0.734 0.993 0.920 0.900 0.862 0.828 1.030 0.987 0.940 0.909 0.875 1.21 1.15 1.09 1.03 0.98 1.48 1.39 1.31 1.23 1.55 1.45 1.36 1.83 1.69 1.57

By, Bending Factor 1.15 1.10 1.05 1.01 0.965 1.80 1.68 1.58 1.48 1.40 1.23 1.17 1.12 1.06 1.02 1.89 1.77 1.65 1.55 1.45 1.91 1.77 1.65 1.55 2.41 2.20 2.03 2.53 2.29 2.11

ax, ÷ 106 2.11 1.88 1.60 1.27 0.90 1.54 1.39 1.21 0.97 0.69 1.18 1.06 0.92 0.74 0.53 0.835 0.765 0.670 0.547 0.396 0.355 0.317 0.263 0.194 0.251 0.212 0.158 0.15 0.13 0.10

ay, ÷106 0.93 0.835 0.718 0.575 0.411 0.339 0.312 0.275 0.225 0.164 0.747 0.675 0.584 0.472 0.339 0.267 0.248 0.221 0.182 0.134 0.184 0.166 0.139 0.103 0.081 0.070 0.053 0.067 0.058 0.045

Fy=50

ERW

X-X AXIS Y-Y AXIS

OD1 OD2 Wall Wt per ftMoment of Inertia In4

Section Modulus In³

Radius of Gyration In³

Moment of Inertia In4



2.50 1.500.125 3.05 0.668 0.535 0.892 0.300 0.399 0.5970.180 4.32 0.882 0.705 0.860 0.390 0.520 0.5720.250 5.41 1.03 0.822 0.826 0.449 0.599 0.546

3.00

1.500.125 3.48 1.06 0.706 1.05 0.355 0.474 0.6100.188 4.96 1.42 0.945 1.02 0.467 0.622 0.5840.250 6.26 1.68 1.12 0.982 0.543 0.725 0.559

2.00

0.125 3.90 1.30 0.867 1.10 0.692 0.692 0.8040.188 5.59 1.77 1.18 1.07 0.932 0.932 0.7780.250 7.11 2.13 1.42 1.04 1.11 1.11 0.7510.313 8.45 2.38 1.59 1.01 1.24 1.24 0.725

4.00

2.00

0.125 4.75 2.65 1.32 1.43 0.898 0.898 0.8300.188 6.87 3.66 1.83 1.39 1.22 1.22 0.8040.250 8.81 4.49 2.25 1.36 1.48 1.48 0.7790.313 10.58 5.13 2.56 1.32 1.67 1.67 0.7540.375 12.17 5.60 2.80 1.29 1.80 1.80 0.729

3.00

0.125 5.61 3.52 1.76 1.52 2.27 1.51 1.210.188 8.15 4.93 2.47 1.49 3.16 2.10 1.190.250 10.51 6.15 3.07 1.45 3.91 2.61 1.160.313 12.70 7.14 3.57 1.42 4.52 3.02 1.130.375 14.72 7.93 3.97 1.39 5.01 3.34 1.11

5.00

2.00

0.125 5.61 4.65 1.86 1.74 1.10 1.10 0.8480.188 8.15 6.50 2.60 1.70 1.51 1.51 0.8230.250 10.51 8.08 3.23 1.67 1.84 1.84 0.7970.313 12.70 9.35 3.74 1.63 2.10 2.10 0.7720.375 14.72 10.4 4.14 1.59 2.28 2.28 0.748

3.00

0.125 6.46 6.03 2.41 1.85 2.75 1.83 1.250.188 9.42 8.53 3.41 1.82 3.85 2.57 1.220.250 12.21 10.7 4.29 1.78 4.81 3.21 1.190.313 14.83 12.6 5.03 1.75 5.60 3.73 1.170.375 17.27 14.1 5.65 1.72 6.25 4.16 1.140.500 21.63 16.4 6.57 1.65 7.18 4.78 1.09

4.00

0.125 7.31 7.42 2.97 1.93 5.27 2.64 1.620.188 10.70 10.6 4.22 1.90 7.48 3.74 1.600.250 13.91 13.4 5.35 1.87 9.46 4.73 1.570.313 16.96 15.8 6.32 1.84 11.1 5.57 1.540.375 19.82 17.9 7.17 1.81 12.6 6.30 1.520.500 25.03 21.2 8.49 1.75 14.9 7.43 1.46

6.00

2.00

0.125 6.46 7.42 2.47 2.05 1.31 1.31 0.8610.188 9.42 10.5 3.49 2.01 1.80 1.80 0.8360.250 12.21 13.1 4.37 1.97 2.21 2.21 0.8100.313 14.83 15.3 5.11 1.93 2.52 2.52 0.7850.375 17.27 17.1 5.71 1.89 2.77 2.77 0.760

3.00

0.125 7.31 9.43 3.14 2.17 3.23 2.15 1.270.188 10.70 13.4 4.47 2.14 4.55 3.03 1.250.250 13.91 17.0 5.66 2.10 5.70 3.80 1.220.375 19.82 22.7 7.57 2.04 7.48 4.99 1.170.500 25.03 26.8 8.95 1.97 8.69 5.79 1.12

4.00

0.125 8.16 11.4 3.81 2.26 6.15 3.08 1.660.188 11.97 16.4 5.46 2.23 8.76 4.38 1.630.250 15.62 20.9 6.96 2.20 11.1 5.56 1.610.313 19.08 24.8 8.27 2.17 13.2 6.58 1.580.375 22.37 28.3 9.43 2.14 14.9 7.47 1.550.500 28.43 34.0 11.3 2.08 17.8 8.89 1.50

5.00

0.125 9.01 13.4 4.48 2.34 10.2 4.07 2.030.188 13.25 19.3 6.44 2.31 14.6 5.84 2.010.250 17.32 24.7 8.25 2.28 18.7 7.47 1.980.313 21.21 29.6 9.85 2.25 22.3 8.91 1.950.375 24.93 33.9 11.3 2.22 25.5 10.2 1.92

HSS Rectangular Dimension and Section Properties

Call your Independence Tube Account Representative for floor stock availability or go on-line at www.independencetube.com.21

X-X AXIS Y-Y AXIS







7.00

3.00

0.125 8.16 13.8 3.95 2.49 3.71 2.48 1.29

0.188 11.97 19.8 5.65 2.45 5.24 3.50 1.26

0.250 15.62 25.2 7.19 2.42 6.60 4.40 1.24

0.313 19.08 29.9 8.54 2.38 7.74 5.16 1.21

0.375 22.37 34.1 9.73 2.35 8.71 5.81 1.19

0.500 28.43 40.7 11.6 2.27 10.2 6.80 1.14

4.00

0.125 9.01 16.6 4.73 2.59 7.03 3.51 1.69

0.188 13.25 23.8 6.81 2.56 10.0 5.02 1.66

0.250 17.32 30.5 8.72 2.53 12.8 6.38 1.64

0.313 21.21 36.5 10.4 2.50 15.2 7.58 1.61

0.375 24.93 41.8 11.9 2.46 17.3 8.63 1.58

0.500 31.84 50.7 14.5 2.40 20.7 10.4 1.53

5.00

0.125 9.86 19.3 5.52 2.68 11.6 4.63 2.07

0.188 14.53 27.9 7.96 2.65 16.6 6.65 2.05

0.250 19.02 35.9 10.2 2.62 21.3 8.53 2.02

0.313 23.34 43.0 12.3 2.59 25.5 10.2 1.99

0.375 27.48 49.5 14.1 2.56 29.3 11.7 1.97

0.500 35.24 60.6 17.3 2.50 35.6 14.2 1.91

8.00

2.00

0.125 8.16 15.7 3.93 2.65 1.72 1.72 0.879

0.188 11.97 22.4 5.61 2.61 2.39 2.39 0.853

0.250 15.62 28.5 7.12 2.57 2.94 2.94 0.827

0.313 19.08 33.7 8.43 2.53 3.38 3.38 0.802

0.375 22.37 38.2 9.56 2.49 3.73 3.73 0.777

3.00

0.125 9.01 19.3 4.83 2.80 4.20 2.80 1.31

0.188 13.25 27.8 6.94 2.77 5.94 3.96 1.28

0.250 17.32 35.5 8.88 2.73 7.49 4.99 1.25

0.313 21.21 42.4 10.6 2.69 8.81 5.87 1.23

0.375 24.93 48.5 12.1 2.65 10.0 6.63 1.20

0.500 31.84 58.6 14.6 2.58 11.7 7.81 1.15

4.00

0.125 9.86 22.9 5.73 2.92 7.90 3.95 1.71

0.188 14.53 33.1 8.27 2.88 11.3 5.65 1.69

0.250 19.02 42.5 10.6 2.85 14.4 7.21 1.66

0.313 23.34 51.0 12.8 2.82 17.2 8.58 1.63

0.375 27.48 58.7 14.7 2.78 19.6 9.80 1.61

0.500 35.24 71.8 17.9 2.71 23.6 11.8 1.56

0.625 42.30 82.0 20.5 2.64 26.6 13.3 1.51

6.00

0.188 17.08 43.7 10.9 3.06 28.2 9.39 2.46

0.250 22.42 56.6 14.2 3.03 36.4 12.1 2.43

0.313 27.59 68.3 17.1 3.00 43.8 14.6 2.40

0.375 32.58 79.1 19.8 2.97 50.6 16.9 2.38

0.500 42.05 98.2 24.6 2.91 62.5 20.8 2.32

0.625 50.81 114 28.5 2.85 72.3 24.1 2.27


Call your Independence Tube Account Representative for floor stock availability or go on-line at www.independencetube.com.

22



X-X AXIS Y-Y AXIS







9.00

3.00

0.188 14.53 37.6 8.35 3.07 6.64 4.42 1.29

0.250 19.02 48.2 10.7 3.04 8.38 5.59 1.27

0.313 23.34 57.7 12.8 3.00 9.88 6.59 1.24

0.375 27.48 66.3 14.7 2.96 11.2 7.45 1.21

0.500 35.24 80.8 18.0 2.88 13.2 8.81 1.17

5.00

0.188 17.08 51.1 11.4 3.31 20.7 8.28 2.10

0.250 22.42 66.1 14.7 3.27 26.6 10.6 2.08

0.313 27.59 79.8 17.7 3.24 32.0 12.8 2.05

0.375 32.58 92.5 20.5 3.21 36.8 14.7 2.03

0.500 42.05 115 25.5 3.14 45.2 18.1 1.97

0.625 50.81 133 29.6 3.08 52.0 20.8 1.92

7.00

0.188 19.63 64.7 14.4 3.47 44.1 12.6 2.87

0.250 25.82 84.1 18.7 3.44 57.2 16.3 2.84

0.313 31.84 102 22.6 3.41 69.2 19.8 2.81

0.375 37.69 119 26.4 3.38 80.4 23.0 2.78

0.500 48.85 149 33.0 3.32 100 28.7 2.73

0.625 59.32 174 38.7 3.26 117 33.5 2.68

10.00

2.00

0.125 9.86 28.5 5.70 3.25 2.14 2.14 0.890

0.188 14.53 41.0 8.19 3.21 2.97 2.97 0.864

0.250 19.02 52.5 10.5 3.17 3.67 3.67 0.838

0.313 23.34 62.6 12.5 3.12 4.24 4.24 0.812

0.375 27.48 71.7 14.3 3.08 4.70 4.70 0.787

4.00

0.125 11.56 39.8 7.97 3.55 9.65 4.83 1.75

0.188 17.08 57.8 11.6 3.52 13.9 6.93 1.72

0.250 22.42 74.7 14.9 3.48 17.7 8.87 1.70

0.313 27.59 90.1 18.0 3.44 21.2 10.6 1.67

0.375 32.58 104 20.8 3.41 24.3 12.1 1.64

0.500 42.05 129 25.8 3.34 29.5 14.7 1.59

0.625 50.81 149 29.9 3.26 33.5 16.8 1.54

6.00

0.188 19.63 74.6 14.9 3.73 34.1 11.4 2.52

0.250 25.82 96.9 19.4 3.69 44.1 14.7 2.49

0.313 31.84 118 23.5 3.66 53.3 17.8 2.47

0.375 37.69 137 27.4 3.63 61.8 20.6 2.44

0.500 48.85 171 34.3 3.57 76.8 25.6 2.39

0.625 59.32 201 40.2 3.50 89.4 29.8 2.34

8.00

0.188 22.18 91.4 18.3 3.88 65.1 16.3 3.28

0.250 29.23 119 23.8 3.85 84.7 21.2 3.25

0.313 36.10 145 29.0 3.82 103 25.7 3.22

0.375 42.79 169 33.9 3.79 120 30.0 3.19

0.500 55.66 214 42.7 3.73 151 37.8 3.14

0.625 67.82 253 50.5 3.68 178 44.5 3.09

23


X-X AXIS Y-Y AXIS







12.00

2.00

0.188 17.08 67.4 11.2 3.80 3.55 3.55 0.872

0.250 22.42 86.9 14.5 3.75 4.41 4.41 0.845

0.313 27.59 104 17.4 3.71 5.10 5.10 0.820

4.00

0.188 19.63 91.8 15.3 4.13 16.4 8.20 1.75

0.250 25.82 119 19.9 4.10 21.0 10.5 1.72

0.313 31.84 144 24.1 4.06 25.2 12.6 1.70

0.375 37.69 168 28.0 4.02 28.9 14.5 1.67

0.500 48.85 210 34.9 3.95 35.3 17.7 1.62

0.625 59.32 245 40.8 3.87 40.4 20.2 1.57

6.00

0.188 22.18 116 19.4 4.38 40.0 13.3 2.57

0.250 29.23 151 25.2 4.34 51.9 17.3 2.54

0.313 36.10 184 30.7 4.31 62.8 20.9 2.52

0.375 42.79 215 35.9 4.28 72.9 24.3 2.49

0.500 55.66 271 45.2 4.21 91.1 30.4 2.44

0.625 67.82 321 53.4 4.14 107 35.5 2.39

8.00

0.188 24.73 140 23.4 4.56 75.7 18.9 3.35

0.250 32.63 184 30.6 4.53 98.8 24.7 3.32

0.313 40.35 224 37.4 4.50 120 30.1 3.29

0.375 47.90 262 43.7 4.47 140 35.1 3.27

0.500 62.46 333 55.6 4.41 178 44.4 3.21

0.625 76.33 397 66.1 4.34 210 52.5 3.16

14.00

4.00

0.188 22.18 137 19.5 4.74 19.0 9.48 1.77

0.250 29.23 178 25.4 4.71 24.4 12.2 1.74

0.313 36.10 216 30.9 4.67 29.2 14.6 1.72

0.375 42.79 252 36.0 4.63 33.6 16.8 1.69

0.500 55.66 317 45.3 4.55 41.2 20.6 1.64

0.625 67.82 373 53.3 4.47 47.2 23.6 1.59

6.00

0.188 24.73 170 24.3 5.01 45.9 15.3 2.61

0.250 32.63 222 31.7 4.98 59.6 19.9 2.58

0.313 40.35 271 38.7 4.94 72.3 24.1 2.55

0.370 47.90 317 45.3 4.91 84.1 28.0 2.53

0.500 62.46 402 57.4 4.84 105 35.1 2.48

0.625 76.33 478 68.3 4.77 124 41.2 2.43

10.00

0.250 39.43 310 44.3 5.35 186 37.2 4.14

0.313 48.86 380 54.3 5.32 227 45.5 4.12

0.375 58.10 447 63.9 5.29 267 53.4 4.09

0.500 76.07 573 81.8 5.23 341 68.1 4.04

0.625 93.34 687 98.2 5.17 407 81.5 3.98

16.00

4.00

0.188 24.73 193 24.2 5.35 21.5 10.8 1.78

0.250 32.63 253 31.6 5.31 27.7 13.8 1.76

0.313 40.35 308 38.5 5.27 33.2 16.6 1.73

0.375 47.90 360 45.0 5.23 38.3 19.1 1.71

0.500 62.46 455 56.9 5.15 47.0 23.5 1.65

0.625 76.33 539 67.3 5.06 54.1 27.0 1.60

8.00

0.250 39.43 368 46.1 5.83 127 31.7 3.42

0.313 48.86 451 56.4 5.80 155 38.7 3.40

0.375 58.10 531 66.3 5.77 181 45.3 3.37

0.500 76.07 679 84.9 5.70 230 57.6 3.32

0.625 93.34 815 102 5.64 274 68.6 3.27


24

INDEPENDENCE TUBE produces round tubing from 1.66" OD x .109" wall through 16" OD x .625" wall to ASTM A500, ASTM A252 and ASTM A513.

CHICAGO:4.00" OD 5.00" OD 5.50" OD 5.563" OD 6.00" OD 6.625" ODWalls from .125" to .375"

MARSEILLES:

Walls from .109" to .625"

DECATUR:6.625" OD 8.625" OD 10.75" OD 12.75" OD 14.00" OD 16.00" ODWalls from .188" to .625"


Flash removal available on some sizes – contact your Independence Tube Sales Representative for details.


HSS Rounds

1.66" OD 1.75" OD 1.90" OD 2.375" OD 2.875" OD 3.00" OD 4.00" OD 4.50" OD

5.00" OD 6.625" OD 7.00" OD 8.625" OD 9.625" OD 10.75" OD 12.00" OD 12.75" OD

25

Nominal Outside 16.000 14.000 12.750 10.750 9.625

Wall Thickness 0.500 0.438 0.375 0.312 0.500 0.375 0.312 0.500 0.375 0.250 0.500 0.365 0.250 0.500 0.375 0.312 0.250 0.188

Weight per Foot 82.77 72.80 62.58 52.28 72.08 54.57 45.61 65.42 49.56 33.38 54.74 40.48 28.04 48.73 37.05 31.03 25.03 18.95

Design Wall Thickness 0.465 0.407 0.349 0.291 0.465 0.349 0.291 0.465 0.349 0.233 0.465 0.340 0.233 0.465 0.349 0.291 0.233 0.174

Eff

ectiv

e le

ngth

KL

in f

eet

Fy = 50 ksi

0 681 597 516 432 594 450 375 537 408 275 450 333 231 402 306 256 206 155

2 674 591 511 428 587 445 371 530 403 271 443 328 227 395 301 251 203 152

3 670 588 508 425 583 442 368 526 400 269 439 358 225 391 297 249 200 151

4 666 584 505 423 579 439 366 522 397 267 435 322 223 386 294 246 198 149

5 662 581 502 420 575 436 363 518 393 265 430 318 221 381 290 243 196 147

6 658 577 499 417 570 432 360 513 390 263 425 315 218 376 287 240 193 145

7 653 573 495 415 565 429 357 508 386 260 419 311 216 370 282 236 190 143

8 648 567 491 412 560 425 354 503 382 258 414 307 213 364 278 233 187 141

9 643 564 488 408 555 421 351 497 378 255 408 302 210 358 273 229 184 139

10 638 559 484 405 549 417 347 491 374 252 402 298 207 352 268 225 181 136

11 632 555 479 402 544 412 344 485 369 249 395 293 204 345 263 220 178 134

12 627 550 475 398 537 408 340 479 364 246 388 288 200 338 258 216 174 131

13 621 544 471 394 531 403 336 473 360 243 381 283 197 330 252 211 170 129

14 615 539 466 391 525 398 332 466 355 239 374 278 193 322 246 206 167 126

15 608 534 462 387 518 393 328 459 349 236 367 272 189 314 240 202 163 123

16 602 528 457 383 511 388 324 452 344 232 359 266 186 306 234 196 159 120

17 595 522 452 378 504 383 319 444 339 229 351 261 182 298 228 191 154 116

18 588 516 447 374 497 377 315 437 333 225 342 255 177 389 221 186 150 113

19 581 510 441 370 489 372 310 429 327 221 334 248 173 280 214 180 146 110

20 574 504 436 365 482 366 305 421 321 217 325 242 169 270 207 174 141 106

21 567 498 430 361 474 360 301 413 315 213 316 236 164 261 200 168 136 103

22 559 491 425 356 466 354 296 405 309 209 307 229 160 251 193 162 131 99

23 552 484 419 351 458 348 290 396 302 204 298 222 155 241 185 156 126 96

24 544 477 413 346 449 342 285 387 296 200 288 215 150 230 178 149 121 92

25 536 470 407 341 441 335 280 378 289 196 278 208 145 219 170 143 116 88

26 528 463 401 336 432 329 275 369 282 191 268 200 140 208 161 136 110 84

27 519 456 395 331 423 322 269 360 275 186 257 193 135 197 153 129 105 80

28 511 449 389 326 414 315 263 350 268 182 247 185 130 185 144 122 99 75

29 502 441 382 320 405 308 258 340 261 177 236 177 124 173 135 114 93 71

30 494 434 375 315 395 301 252 330 253 172 224 169 119 162 126 107 87 66

31 485 426 369 309 386 294 246 320 245 167 213 160 113 152 118 100 82 62

32 476 418 362 304 376 287 240 310 238 162 201 152 107 142 111 94 77 58

33 466 410 355 298 366 279 234 299 230 156 189 143 101 134 104 88 72 55

34 457 402 348 292 356 272 227 288 222 151 178 135 96 126 98 83 68 52

35 447 393 341 286 345 264 221 277 213 146 168 127 90 119 93 79 64 49

36 438 385 333 280 335 256 214 266 205 140 159 120 85 113 88 74 61 46

37 428 376 326 274 324 248 208 255 196 134 151 114 81 107 83 70 57 44

38 418 367 318 268 313 240 201 243 188 128 143 108 77 101 79 67 54 41

39 407 358 311 261 302 231 194 231 179 122 136 102 73 96 75 63 52 39

40 397 349 303 255 290 223 187 220 170 117 129 97 69 91 71 60 49 37

PROPERTIES

Area, In² 22.7 19.9 17.2 14.4 19.8 15.0 12.5 17.9 13.6 9.2 15.0 11.1 7.8 13.4 10.2 8.53 6.87 5.17

I, In4 685 606 526 443 453 349 295 339 262 180 199 151 106 141 110 93.0 75.9 57.7

r, In. 5.49 5.51 5.53 5.55 4.79 4.83 4.85 4.35 4.39 4.43 3.64 3.68 3.72 3.24 3.28 3.30 3.32 3.34

B, Bending Factor 0.265 0.263 0.262 0.260 0.306 0.301 0.297 0.337 0.331 0.324 0.405 0.395 0.390 0.457 0.446 0.441 0.436 0.431

a ÷ 106 102.0 90.5 78.5 66.2 67.6 52.1 44.1 50.6 39.1 26.9 29.7 22.5 15.8 21.1 16.4 13.9 11.3 8.62

26

Fy=50

ERW

HSS/Round Structural Steel TubingAllowable Concentric Loads in Kips

Nominal Outside 8.625 7.000 6.625 6.000 5.563 5.500 5.000 4.500

Wall Thickness 0.500 0.375 0.322 0.250 0.188 0.500 0.375 0.312 0.250 0.188 0.125 0.500 0.432 0.375 0.312 0.280 0.250 0.188 0.125 0.500 0.375 0.312 0.280 0.250 0.188 0.125 0.375 0.258 0.188 0.375 0.258 0.375 0.312 0.258 0.250 0.188 0.125 0.337 0.237 0.188 0.125

Weight per Foot 43.39 33.04 28.55 22.36 16.94 34.71 26.53 22.29 18.02 13.68 9.18 32.71 28.57 25.03 21.04 18.97 17.02 12.20 8.68 29.37 23.03 18.95 17.11 15.35 11.67 7.84 20.78 14.62 10.79 20.53 14.44 18.52 15.62 13.07 12.68 9.66 6.51 14.98 10.79 8.66 5.84

Design Wall Thickness 0.465 0.349 0.300 0.233 0.174 0.465 0.349 0.291 0.233 0.174 0.116 0.465 0.403 0.349 0.291 0.261 0.233 0.174 0.116 0.465 0.349 0.291 0.261 0.233 0.174 0.116 0.349 0.241 0.174 0.349 0.241 0.349 0.291 0.241 0.233 0.174 0.116 0.315 0.221 0.174 0.116

Eff

ectiv

e le

ngth

KL

in f

eet


0 357 272 236 184 139 287 219 184 149 112 76 270 236 206 174 157 140 106 71 243 186 157 141 127 95 64 172 121 89 170 119 153 129 108 105 79 53 124 89 71 48

2 350 267 231 181 136 279 213 179 145 109 73 263 230 201 169 152 137 103 69 235 180 152 137 123 93 62 166 117 86 164 115 147 124 104 101 76 51 119 85 68 46

3 346 264 228 178 134 275 210 176 143 107 72 258 226 197 166 150 134 101 68 230 177 149 134 120 91 61 162 114 84 160 113 143 121 101 98 74 50 115 83 66 45

4 341 260 225 176 133 270 206 173 140 106 71 253 221 194 163 147 132 100 67 225 173 146 131 118 89 60 158 112 82 156 110 139 117 98 95 72 49 111 80 64 43

5 336 256 222 174 131 264 202 170 137 104 70 247 217 189 159 144 129 97 65 219 168 142 128 115 87 58 154 108 80 151 107 134 113 95 92 70 47 107 77 61 42

6 330 252 218 171 129 258 197 166 134 101 68 241 211 185 156 140 126 95 64 213 164 138 125 112 84 57 149 105 77 146 104 129 109 92 89 67 46 102 73 59 40

7 324 248 215 168 127 252 193 162 131 99 67 234 206 180 152 137 123 93 62 206 158 134 121 108 82 55 143 101 75 141 100 123 105 88 85 65 44 96 70 56 38

8 318 243 211 165 124 245 187 158 128 96 65 227 199 175 147 133 119 90 61 198 153 129 117 105 79 53 138 97 72 135 96 117 100 84 81 62 42 91 66 52 36

9 312 238 206 162 122 238 182 153 124 94 63 220 193 169 143 129 116 87 59 190 147 124 112 101 76 51 132 93 69 129 92 111 94 79 77 59 40 84 61 49 34

10 305 233 202 158 119 230 176 149 120 91 61 212 186 162 138 124 112 84 57 182 141 119 108 97 73 49 125 89 66 123 87 104 89 74 72 55 37 78 57 46 31

11 298 228 197 155 117 222 170 144 116 88 59 204 179 157 133 120 108 81 55 173 134 114 103 92 70 47 118 84 62 116 83 97 83 69 68 52 35 71 52 42 29

12 290 222 193 151 114 214 164 138 112 85 57 195 172 150 127 115 103 78 53 164 127 108 98 88 67 45 111 79 59 109 78 89 76 64 63 48 33 63 47 38 26

13 282 216 188 147 111 205 157 133 108 82 55 186 164 144 122 110 99 75 51 154 120 102 92 83 63 43 104 74 55 101 73 81 70 59 57 44 30 56 41 34 23

14 274 210 182 143 108 196 151 127 103 78 53 176 155 137 116 105 94 71 48 144 113 96 87 78 59 40 96 69 51 93 67 73 63 53 52 40 27 48 36 29 20

15 266 204 177 139 105 186 143 121 99 75 51 166 147 129 110 99 89 68 46 134 105 89 81 73 56 38 88 63 47 85 61 64 55 47 46 36 24 42 31 25 18

16 257 197 171 135 102 176 136 115 94 71 48 156 138 122 103 94 84 64 43 123 97 83 75 68 52 35 79 57 43 77 56 56 9 41 40 31 22 37 27 22 16

17 248 191 166 130 98 166 128 109 89 67 46 145 129 114 97 88 79 60 41 111 88 76 69 62 47 32 70 51 39 68 49 50 43 36 36 28 19 33 24 20 14

18 239 184 160 125 95 155 120 102 83 63 43 134 119 105 90 82 74 56 38 99 79 68 62 56 43 30 63 46 34 61 44 44 38 33 32 25 17 29 22 18 12

19 229 176 153 121 91 144 112 95 78 59 40 123 109 97 83 75 68 52 35 89 71 61 56 50 39 27 56 41 31 54 40 40 34 29 29 22 15 26 19 16 11

20 219 169 147 116 88 133 104 88 72 55 38 111 99 88 75 69 62 48 32 81 64 55 50 46 35 24 51 37 28 49 36 36 31 26 26 20 14 24 18 14 10

21 209 161 141 111 84 121 95 81 66 51 35 101 90 80 68 62 56 43 29 73 58 50 46 41 32 22 46 33 25 44 32 33 28 24 23 18 13 21 16 13 9

22 198 153 134 105 80 110 86 74 61 46 32 92 82 73 62 57 51 39 27 67 53 46 42 38 29 20 42 31 23 41 30 30 26 22 21 17 11 19 15 12 8

23 187 145 127 100 76 101 79 67 55 42 29 84 75 66 57 52 47 36 25 61 49 42 38 34 26 18 38 28 21 37 27 27 24 20 20 15 10 18 13 11 8

24 176 137 120 95 72 93 72 62 51 39 27 77 69 61 52 48 43 33 23 56 45 38 35 32 24 17 35 26 19 34 25 25 22 18 18 14 10 16 12 10 7

25 164 128 112 89 68 85 67 57 47 36 25 71 63 56 48 44 40 30 21 52 41 35 32 29 22 15 32 24 18 31 23 23 20 17 17 13 9 11 9 6

26 152 119 105 83 63 79 62 53 43 33 23 66 59 52 45 41 37 28 19 48 38 33 30 27 21 14 30 22 17 29 21 21 18 16 15 12 8

27 141 111 97 77 59 73 57 49 40 31 21 61 54 48 41 38 34 26 18 44 35 30 28 25 19 13 28 20 15 27 20 20 17 14 14 11 8

28 131 103 90 72 55 68 53 46 37 29 20 57 50 45 38 35 32 24 17 41 33 28 26 23 18 12 26 19 14 25 18 13 13 10 7

29 123 96 84 67 51 63 50 42 35 27 18 53 47 42 36 33 29 23 15 38 31 26 24 22 17 11 24 18 13 23 17

30 115 90 79 62 48 59 46 40 33 25 17 49 44 39 33 30 28 21 14 36 29 25 22 20 16 11 23 16 12 22 16

31 107 84 74 58 45 55 43 37 31 23 16 46 41 37 31 29 26 20 14 34 27 23 21 19 15 10 15 12 15

32 101 79 69 55 42 52 41 35 29 22 15 43 39 34 29 27 24 19 13 31 25 22 20 18 14 9

33 95 74 65 52 39 49 38 33 27 21 14 41 36 32 28 25 23 17 12 24 20 18 17 13 9

34 89 70 61 49 37 46 36 31 25 19 13 38 34 30 26 24 21 16 11 16 12 8

35 84 66 58 46 35 44 34 29 24 18 13 36 32 29 25 22 20 16 11

36 80 62 55 43 33 41 32 28 23 17 12 34 31 27 23 21 19 15 10

37 75 59 52 41 31 39 30 26 21 16 11 26 22 20 18 14 9

38 71 56 49 39 30 37 29 25 20 16 11 13 9

39 68 53 47 37 28 27 23 19 15 10

40 64 50 44 35 27 14 10


Area, In² 11.9 9.07 7.85 6.14 4.62 9.55 7.29 6.13 4.95 3.73 2.51 9.00 7.88 6.88 5.79 5.22 4.68 3.53 2.37 8.09 6.20 5.22 4.71 4.22 3.18 2.14 5.72 4.03 2.95 5.65 3.98 5.10 4.30 3.60 3.49 2.64 1.78 4.14 2.97 2.36 1.60

I, In4 99.5 77.8 68.1 54.1 41.3 51.2 40.4 34.6 28.4 21.7 14.9 42.9 38.3 34.0 29.1 26.5 23.9 18.4 12.6 31.2 24.8 21.3 19.4 17.6 13.5 9.3 19.5 14.3 10.7 18.8 13.8 13.9 12.0 10.2 9.94 7.69 5.31 9.12 6.82 5.54 3.84

r, In. 2.89 2.93 2.95 2.97 2.99 2.32 2.35 2.37 2.39 2.41 2.43 2.18 2.20 2.22 2.24 2.25 2.26 2.28 2.30 1.96 2.00 2.02 2.03 2.04 2.06 2.08 1.85 1.88 1.91 1.83 1.86 1.65 1.67 1.68 1.69 1.71 1.73 1.48 1.51 1.53 1.55

B, Bending Factor 0.516 0.503 0.497 0.489 0.482 0.653 0.632 0.620 0.610 0.602 0.590 0.695 0.682 0.670 0.659 0.653 0.649 0.635 0.623 0.778 0.750 0.735 0.728 0.719 0.707 0.692 0.816 0.784 0.767 0.826 0.793 0.917 0.896 0.882 0.878 0.858 0.838 1.02 0.980 0.958 0.938

a ÷ 106 14.9 11.6 10.2 8.08 6.17 7.65 6.03 5.17 4.24 3.24 2.23 6.41 5.72 5.08 4.35 3.96 3.57 2.75 1.88 4.66 3.70 3.18 2.90 2.63 2.02 1.39 2.91 2.14 1.60 2.81 2.06 2.08 1.79 1.52 1.48 1.15 0.79 1.36 1.02 0.827 0.573


27

Fy=50

ERW

Nominal Outside 8.625 7.000 6.625 6.000 5.563 5.500 5.000 4.500

Wall Thickness 0.500 0.375 0.322 0.250 0.188 0.500 0.375 0.312 0.250 0.188 0.125 0.500 0.432 0.375 0.312 0.280 0.250 0.188 0.125 0.500 0.375 0.312 0.280 0.250 0.188 0.125 0.375 0.258 0.188 0.375 0.258 0.375 0.312 0.258 0.250 0.188 0.125 0.337 0.237 0.188 0.125

Weight per Foot 43.39 33.04 28.55 22.36 16.94 34.71 26.53 22.29 18.02 13.68 9.18 32.71 28.57 25.03 21.04 18.97 17.02 12.20 8.68 29.37 23.03 18.95 17.11 15.35 11.67 7.84 20.78 14.62 10.79 20.53 14.44 18.52 15.62 13.07 12.68 9.66 6.51 14.98 10.79 8.66 5.84

Design Wall Thickness 0.465 0.349 0.300 0.233 0.174 0.465 0.349 0.291 0.233 0.174 0.116 0.465 0.403 0.349 0.291 0.261 0.233 0.174 0.116 0.465 0.349 0.291 0.261 0.233 0.174 0.116 0.349 0.241 0.174 0.349 0.241 0.349 0.291 0.241 0.233 0.174 0.116 0.315 0.221 0.174 0.116

Eff

ectiv

e le

ngth

KL

in f

eet


0 357 272 236 184 139 287 219 184 149 112 76 270 236 206 174 157 140 106 71 243 186 157 141 127 95 64 172 121 89 170 119 153 129 108 105 79 53 124 89 71 48

2 350 267 231 181 136 279 213 179 145 109 73 263 230 201 169 152 137 103 69 235 180 152 137 123 93 62 166 117 86 164 115 147 124 104 101 76 51 119 85 68 46

3 346 264 228 178 134 275 210 176 143 107 72 258 226 197 166 150 134 101 68 230 177 149 134 120 91 61 162 114 84 160 113 143 121 101 98 74 50 115 83 66 45

4 341 260 225 176 133 270 206 173 140 106 71 253 221 194 163 147 132 100 67 225 173 146 131 118 89 60 158 112 82 156 110 139 117 98 95 72 49 111 80 64 43

5 336 256 222 174 131 264 202 170 137 104 70 247 217 189 159 144 129 97 65 219 168 142 128 115 87 58 154 108 80 151 107 134 113 95 92 70 47 107 77 61 42

6 330 252 218 171 129 258 197 166 134 101 68 241 211 185 156 140 126 95 64 213 164 138 125 112 84 57 149 105 77 146 104 129 109 92 89 67 46 102 73 59 40

7 324 248 215 168 127 252 193 162 131 99 67 234 206 180 152 137 123 93 62 206 158 134 121 108 82 55 143 101 75 141 100 123 105 88 85 65 44 96 70 56 38

8 318 243 211 165 124 245 187 158 128 96 65 227 199 175 147 133 119 90 61 198 153 129 117 105 79 53 138 97 72 135 96 117 100 84 81 62 42 91 66 52 36

9 312 238 206 162 122 238 182 153 124 94 63 220 193 169 143 129 116 87 59 190 147 124 112 101 76 51 132 93 69 129 92 111 94 79 77 59 40 84 61 49 34

10 305 233 202 158 119 230 176 149 120 91 61 212 186 162 138 124 112 84 57 182 141 119 108 97 73 49 125 89 66 123 87 104 89 74 72 55 37 78 57 46 31

11 298 228 197 155 117 222 170 144 116 88 59 204 179 157 133 120 108 81 55 173 134 114 103 92 70 47 118 84 62 116 83 97 83 69 68 52 35 71 52 42 29

12 290 222 193 151 114 214 164 138 112 85 57 195 172 150 127 115 103 78 53 164 127 108 98 88 67 45 111 79 59 109 78 89 76 64 63 48 33 63 47 38 26

13 282 216 188 147 111 205 157 133 108 82 55 186 164 144 122 110 99 75 51 154 120 102 92 83 63 43 104 74 55 101 73 81 70 59 57 44 30 56 41 34 23

14 274 210 182 143 108 196 151 127 103 78 53 176 155 137 116 105 94 71 48 144 113 96 87 78 59 40 96 69 51 93 67 73 63 53 52 40 27 48 36 29 20

15 266 204 177 139 105 186 143 121 99 75 51 166 147 129 110 99 89 68 46 134 105 89 81 73 56 38 88 63 47 85 61 64 55 47 46 36 24 42 31 25 18

16 257 197 171 135 102 176 136 115 94 71 48 156 138 122 103 94 84 64 43 123 97 83 75 68 52 35 79 57 43 77 56 56 9 41 40 31 22 37 27 22 16

17 248 191 166 130 98 166 128 109 89 67 46 145 129 114 97 88 79 60 41 111 88 76 69 62 47 32 70 51 39 68 49 50 43 36 36 28 19 33 24 20 14

18 239 184 160 125 95 155 120 102 83 63 43 134 119 105 90 82 74 56 38 99 79 68 62 56 43 30 63 46 34 61 44 44 38 33 32 25 17 29 22 18 12

19 229 176 153 121 91 144 112 95 78 59 40 123 109 97 83 75 68 52 35 89 71 61 56 50 39 27 56 41 31 54 40 40 34 29 29 22 15 26 19 16 11

20 219 169 147 116 88 133 104 88 72 55 38 111 99 88 75 69 62 48 32 81 64 55 50 46 35 24 51 37 28 49 36 36 31 26 26 20 14 24 18 14 10

21 209 161 141 111 84 121 95 81 66 51 35 101 90 80 68 62 56 43 29 73 58 50 46 41 32 22 46 33 25 44 32 33 28 24 23 18 13 21 16 13 9

22 198 153 134 105 80 110 86 74 61 46 32 92 82 73 62 57 51 39 27 67 53 46 42 38 29 20 42 31 23 41 30 30 26 22 21 17 11 19 15 12 8

23 187 145 127 100 76 101 79 67 55 42 29 84 75 66 57 52 47 36 25 61 49 42 38 34 26 18 38 28 21 37 27 27 24 20 20 15 10 18 13 11 8

24 176 137 120 95 72 93 72 62 51 39 27 77 69 61 52 48 43 33 23 56 45 38 35 32 24 17 35 26 19 34 25 25 22 18 18 14 10 16 12 10 7

25 164 128 112 89 68 85 67 57 47 36 25 71 63 56 48 44 40 30 21 52 41 35 32 29 22 15 32 24 18 31 23 23 20 17 17 13 9 11 9 6

26 152 119 105 83 63 79 62 53 43 33 23 66 59 52 45 41 37 28 19 48 38 33 30 27 21 14 30 22 17 29 21 21 18 16 15 12 8

27 141 111 97 77 59 73 57 49 40 31 21 61 54 48 41 38 34 26 18 44 35 30 28 25 19 13 28 20 15 27 20 20 17 14 14 11 8

28 131 103 90 72 55 68 53 46 37 29 20 57 50 45 38 35 32 24 17 41 33 28 26 23 18 12 26 19 14 25 18 13 13 10 7

29 123 96 84 67 51 63 50 42 35 27 18 53 47 42 36 33 29 23 15 38 31 26 24 22 17 11 24 18 13 23 17

30 115 90 79 62 48 59 46 40 33 25 17 49 44 39 33 30 28 21 14 36 29 25 22 20 16 11 23 16 12 22 16

31 107 84 74 58 45 55 43 37 31 23 16 46 41 37 31 29 26 20 14 34 27 23 21 19 15 10 15 12 15

32 101 79 69 55 42 52 41 35 29 22 15 43 39 34 29 27 24 19 13 31 25 22 20 18 14 9

33 95 74 65 52 39 49 38 33 27 21 14 41 36 32 28 25 23 17 12 24 20 18 17 13 9

34 89 70 61 49 37 46 36 31 25 19 13 38 34 30 26 24 21 16 11 16 12 8

35 84 66 58 46 35 44 34 29 24 18 13 36 32 29 25 22 20 16 11

36 80 62 55 43 33 41 32 28 23 17 12 34 31 27 23 21 19 15 10

37 75 59 52 41 31 39 30 26 21 16 11 26 22 20 18 14 9

38 71 56 49 39 30 37 29 25 20 16 11 13 9

39 68 53 47 37 28 27 23 19 15 10

40 64 50 44 35 27 14 10


Area, In² 11.9 9.07 7.85 6.14 4.62 9.55 7.29 6.13 4.95 3.73 2.51 9.00 7.88 6.88 5.79 5.22 4.68 3.53 2.37 8.09 6.20 5.22 4.71 4.22 3.18 2.14 5.72 4.03 2.95 5.65 3.98 5.10 4.30 3.60 3.49 2.64 1.78 4.14 2.97 2.36 1.60

I, In4 99.5 77.8 68.1 54.1 41.3 51.2 40.4 34.6 28.4 21.7 14.9 42.9 38.3 34.0 29.1 26.5 23.9 18.4 12.6 31.2 24.8 21.3 19.4 17.6 13.5 9.3 19.5 14.3 10.7 18.8 13.8 13.9 12.0 10.2 9.94 7.69 5.31 9.12 6.82 5.54 3.84

r, In. 2.89 2.93 2.95 2.97 2.99 2.32 2.35 2.37 2.39 2.41 2.43 2.18 2.20 2.22 2.24 2.25 2.26 2.28 2.30 1.96 2.00 2.02 2.03 2.04 2.06 2.08 1.85 1.88 1.91 1.83 1.86 1.65 1.67 1.68 1.69 1.71 1.73 1.48 1.51 1.53 1.55

B, Bending Factor 0.516 0.503 0.497 0.489 0.482 0.653 0.632 0.620 0.610 0.602 0.590 0.695 0.682 0.670 0.659 0.653 0.649 0.635 0.623 0.778 0.750 0.735 0.728 0.719 0.707 0.692 0.816 0.784 0.767 0.826 0.793 0.917 0.896 0.882 0.878 0.858 0.838 1.02 0.980 0.958 0.938

a ÷ 106 14.9 11.6 10.2 8.08 6.17 7.65 6.03 5.17 4.24 3.24 2.23 6.41 5.72 5.08 4.35 3.96 3.57 2.75 1.88 4.66 3.70 3.18 2.90 2.63 2.02 1.39 2.91 2.14 1.60 2.81 2.06 2.08 1.79 1.52 1.48 1.15 0.79 1.36 1.02 0.827 0.573

28

Fy=50

ERW


Nominal Outside 4.000 3.500 3.000 2.875 2.375 1.900 1.660

Wall Thickness 0.337 0.313 0.250 0.237 0.226 0.220 0.188 0.125 0.313 0.300 0.250 0.216 0.203 0.188 0.125 0.300 0.250 0.216 0.203 0.188 0.152 0.134 0.120 0.250 0.203 0.188 0.125 0.250 0.218 0.188 0.154 0.125 0.145 0.140

Weight per Foot 13.18 12.33 10.01 9.52 9.11 8.88 7.65 5.17 10.65 10.25 8.68 7.58 7.15 6.65 4.51 8.65 7.34 6.42 6.06 5.65 4.62 4.10 3.69 7.01 5.79 5.40 3.67 5.67 5.02 4.39 3.65 3.00 2.72 2.27

Design Wall Thickness 0.315 0.291 0.233 0.221 0.211 0.205 0.174 0.116 0.291 0.280 0.233 0.201 0.189 0.174 0.116 0.280 0.233 0.201 0.189 0.174 0.142 0.125 0.112 0.233 0.189 0.174 0.116 0.233 0.204 0.174 0.143 0.116 0.135 0.130

Eff

ectiv

e le

ngth

KL

in f

eet


0 110 102 93 79 75 73 63 43 88 85 72 62 59 55 37 72 61 53 50 46 38 34 31 58 48 44 30 47 42 36 30 25 23 19

2 104 97 79 75 72 70 60 41 82 80 67 59 56 51 35 66 56 49 47 43 35 32 28 53 44 41 28 42 38 32 27 22 20 16

3 100 93 76 72 69 67 58 39 79 76 65 56 53 49 33 63 53 47 44 41 34 30 27 50 42 39 27 39 35 30 25 21 17 13

4 96 89 73 69 66 64 55 38 75 72 61 53 51 47 32 58 50 44 41 38 31 28 25 47 39 36 25 35 31 27 23 19 15 11

5 91 85 69 66 63 61 53 36 70 68 58 50 48 44 30 53 46 40 38 35 29 26 23 43 35 33 23 30 27 24 20 16 12 8

6 86 80 65 62 60 58 50 34 65 63 53 47 44 41 28 48 41 36 34 32 26 24 21 38 32 30 20 25 23 20 17 14 8 5

7 80 75 61 58 56 54 47 32 59 57 49 43 41 38 26 42 36 32 30 28 23 21 19 33 28 26 18 19 17 15 13 11 6 4

8 74 69 57 54 52 50 43 30 53 51 44 39 37 34 23 36 31 27 26 24 20 18 16 27 23 22 15 15 13 12 10 9 5 3

9 68 63 52 49 47 46 40 27 47 45 39 34 32 30 21 29 25 22 21 20 17 15 14 22 18 17 12 12 11 9 8 7 4 2

10 61 57 47 45 43 42 36 25 39 38 33 29 28 26 18 23 20 18 17 16 13 12 11 18 15 14 10 9 9 8 6 5 3

11 53 50 41 39 38 37 32 22 33 32 28 24 23 22 15 19 17 15 14 13 11 10 9 15 12 12 8 8 7 6 5 4

12 45 43 35 34 32 32 24 19 27 26 23 21 19 18 13 16 14 13 12 11 9 8 8 12 10 10 7 7 6 5 5 4

13 38 36 30 29 28 27 23 16 23 23 20 17 17 16 11 14 12 11 10 9 8 7 7 10 9 8 6 4 4 3

14 33 31 26 25 24 23 20 14 20 19 17 15 14 13 9 12 10 9 9 8 7 6 6 9 8 7 5

15 29 27 23 22 21 20 18 12 18 17 15 13 12 12 8 10 9 8 8 7 6 5 5 8 7 6 4

16 25 24 20 19 18 18 15 11 15 15 13 12 11 10 7 9 8 7 7 6 5 5 4 4

17 22 21 18 17 16 16 14 10 14 13 12 10 10 9 6 4 4

18 20 19 16 15 14 14 12 9 12 12 10 9 9 8 6

19 18 17 14 14 13 13 11 8 11 11 9 8 8 7 5

20 16 15 13 12 12 11 10 7 5

21 15 14 11 11 11 10 9 6

22 13 10 10 10 9 8 6

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40


Area, In² 3.65 3.39 2.76 2.51 2.44 2.09 2.09 1.42 3.81 3.70 3.21 2.84 2.70 2.52 1.77 2.39 2.03 1.77 1.67 1.54 1.27 1.13 1.02 1.93 1.59 1.48 1.01 1.57 1.39 1.20 1.00 0.82 0.75 0.62

I, In4 6.24 5.87 4.91 4.52 4.41 3.83 3.83 2.67 1.14 1.14 1.16 1.17 1.17 1.18 1.20 2.24 1.95 1.74 1.66 1.55 1.30 1.17 1.06 1.70 1.45 1.35 0.96 0.910 0.827 0.733 0.627 0.527 0.293 0.184

r, In. 1.31 1.32 1.33 1.34 1.34 1.35 1.35 1.37 1.35 1.34 1.30 1.28 1.28 1.26 1.19 0.967 0.982 0.992 0.996 1.00 1.01 1.02 1.02 0.938 0.952 0.957 0.976 0.762 0.771 0.781 0.791 0.800 0.626 0.543

B, Bending Factor 1.17 1.16 1.12 1.11 1.11 1.09 1.09 1.06 0.569 0.553 0.479 0.424 0.403 0.375 0.264 1.60 1.56 1.53 1.51 1.49 1.47 1.45 1.44 1.63 1.58 1.58 1.52 2.05 2.00 1.94 1.89 1.85 2.43 2.80

a ÷ 106 0.932 0.877 0.733 0.675 0.659 0.572 0.572 0.399 -- -- -- -- -- -- -- 0.335 0.291 0.260 0.248 0.231 0.194 0.175 0.158 0.254 0.217 0.202 0.143 0.136 0.123 1.090 0.094 0.079 0.044 0.027

Fy=50

ERW


29

Nominal Outside 4.000 3.500 3.000 2.875 2.375 1.900 1.660

Wall Thickness 0.337 0.313 0.250 0.237 0.226 0.220 0.188 0.125 0.313 0.300 0.250 0.216 0.203 0.188 0.125 0.300 0.250 0.216 0.203 0.188 0.152 0.134 0.120 0.250 0.203 0.188 0.125 0.250 0.218 0.188 0.154 0.125 0.145 0.140

Weight per Foot 13.18 12.33 10.01 9.52 9.11 8.88 7.65 5.17 10.65 10.25 8.68 7.58 7.15 6.65 4.51 8.65 7.34 6.42 6.06 5.65 4.62 4.10 3.69 7.01 5.79 5.40 3.67 5.67 5.02 4.39 3.65 3.00 2.72 2.27

Design Wall Thickness 0.315 0.291 0.233 0.221 0.211 0.205 0.174 0.116 0.291 0.280 0.233 0.201 0.189 0.174 0.116 0.280 0.233 0.201 0.189 0.174 0.142 0.125 0.112 0.233 0.189 0.174 0.116 0.233 0.204 0.174 0.143 0.116 0.135 0.130

Eff

ectiv

e le

ngth

KL

in f

eet


0 110 102 93 79 75 73 63 43 88 85 72 62 59 55 37 72 61 53 50 46 38 34 31 58 48 44 30 47 42 36 30 25 23 19

2 104 97 79 75 72 70 60 41 82 80 67 59 56 51 35 66 56 49 47 43 35 32 28 53 44 41 28 42 38 32 27 22 20 16

3 100 93 76 72 69 67 58 39 79 76 65 56 53 49 33 63 53 47 44 41 34 30 27 50 42 39 27 39 35 30 25 21 17 13

4 96 89 73 69 66 64 55 38 75 72 61 53 51 47 32 58 50 44 41 38 31 28 25 47 39 36 25 35 31 27 23 19 15 11

5 91 85 69 66 63 61 53 36 70 68 58 50 48 44 30 53 46 40 38 35 29 26 23 43 35 33 23 30 27 24 20 16 12 8

6 86 80 65 62 60 58 50 34 65 63 53 47 44 41 28 48 41 36 34 32 26 24 21 38 32 30 20 25 23 20 17 14 8 5

7 80 75 61 58 56 54 47 32 59 57 49 43 41 38 26 42 36 32 30 28 23 21 19 33 28 26 18 19 17 15 13 11 6 4

8 74 69 57 54 52 50 43 30 53 51 44 39 37 34 23 36 31 27 26 24 20 18 16 27 23 22 15 15 13 12 10 9 5 3

9 68 63 52 49 47 46 40 27 47 45 39 34 32 30 21 29 25 22 21 20 17 15 14 22 18 17 12 12 11 9 8 7 4 2

10 61 57 47 45 43 42 36 25 39 38 33 29 28 26 18 23 20 18 17 16 13 12 11 18 15 14 10 9 9 8 6 5 3

11 53 50 41 39 38 37 32 22 33 32 28 24 23 22 15 19 17 15 14 13 11 10 9 15 12 12 8 8 7 6 5 4

12 45 43 35 34 32 32 24 19 27 26 23 21 19 18 13 16 14 13 12 11 9 8 8 12 10 10 7 7 6 5 5 4

13 38 36 30 29 28 27 23 16 23 23 20 17 17 16 11 14 12 11 10 9 8 7 7 10 9 8 6 4 4 3

14 33 31 26 25 24 23 20 14 20 19 17 15 14 13 9 12 10 9 9 8 7 6 6 9 8 7 5

15 29 27 23 22 21 20 18 12 18 17 15 13 12 12 8 10 9 8 8 7 6 5 5 8 7 6 4

16 25 24 20 19 18 18 15 11 15 15 13 12 11 10 7 9 8 7 7 6 5 5 4 4

17 22 21 18 17 16 16 14 10 14 13 12 10 10 9 6 4 4

18 20 19 16 15 14 14 12 9 12 12 10 9 9 8 6

19 18 17 14 14 13 13 11 8 11 11 9 8 8 7 5

20 16 15 13 12 12 11 10 7 5

21 15 14 11 11 11 10 9 6

22 13 10 10 10 9 8 6

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40


Area, In² 3.65 3.39 2.76 2.51 2.44 2.09 2.09 1.42 3.81 3.70 3.21 2.84 2.70 2.52 1.77 2.39 2.03 1.77 1.67 1.54 1.27 1.13 1.02 1.93 1.59 1.48 1.01 1.57 1.39 1.20 1.00 0.82 0.75 0.62

I, In4 6.24 5.87 4.91 4.52 4.41 3.83 3.83 2.67 1.14 1.14 1.16 1.17 1.17 1.18 1.20 2.24 1.95 1.74 1.66 1.55 1.30 1.17 1.06 1.70 1.45 1.35 0.96 0.910 0.827 0.733 0.627 0.527 0.293 0.184

r, In. 1.31 1.32 1.33 1.34 1.34 1.35 1.35 1.37 1.35 1.34 1.30 1.28 1.28 1.26 1.19 0.967 0.982 0.992 0.996 1.00 1.01 1.02 1.02 0.938 0.952 0.957 0.976 0.762 0.771 0.781 0.791 0.800 0.626 0.543

B, Bending Factor 1.17 1.16 1.12 1.11 1.11 1.09 1.09 1.06 0.569 0.553 0.479 0.424 0.403 0.375 0.264 1.60 1.56 1.53 1.51 1.49 1.47 1.45 1.44 1.63 1.58 1.58 1.52 2.05 2.00 1.94 1.89 1.85 2.43 2.80

a ÷ 106 0.932 0.877 0.733 0.675 0.659 0.572 0.572 0.399 -- -- -- -- -- -- -- 0.335 0.291 0.260 0.248 0.231 0.194 0.175 0.158 0.254 0.217 0.202 0.143 0.136 0.123 1.090 0.094 0.079 0.044 0.027

Fy=50

ERW


30

OD Wall Wt per ft Moment of Inertia In4 Section Modulus In³ Radius of Gyration In³

1.660 0.140 2.27 0.184 0.222 0.543

1.9000.120 2.28 0.251 0.264 0.6340.145 2.72 0.293 0.309 0.6260.188 3.44 0.355 0.374 0.613

2.375

0.125 3.01 0.527 0.443 0.8000.154 3.66 0.627 0.528 0.7910.188 4.40 0.733 0.617 0.7810.218 5.03 0.824 0.694 0.7710.250 5.68 0.910 0.766 0.762

2.5000.125 3.17 0.619 0.495 0.8440.188 4.65 0.865 0.692 0.8250.250 6.01 1.08 0.862 0.806

2.875

0.125 3.67 0.958 0.667 0.9760.188 5.40 1.35 0.941 0.9570.203 5.80 1.45 1.01 0.9520.250 7.02 1.70 1.18 0.938

3.000

0.125 3.84 1.09 0.730 1.020.134 4.11 1.16 0.774 1.020.152 4.63 1.30 0.865 1.010.188 5.65 1.55 1.03 1.000.203 6.07 1.66 1.10 0.9960.216 6.43 1.74 1.16 0.9920.250 7.35 1.95 1.30 0.982

3.500

0.125 4.51 1.77 1.01 1.200.188 6.66 2.52 1.44 1.180.203 7.15 2.70 1.54 1.170.216 7.58 2.84 1.63 1.170.250 8.69 3.21 1.83 1.160.300 10.26 3.69 2.11 1.140.313 10.66 3.81 2.18 1.14

4.000

0.125 5.18 2.67 1.34 1.370.188 7.66 3.83 1.92 1.350.220 8.89 4.41 2.21 1.340.226 9.12 4.50 2.25 1.340.237 9.53 4.68 2.34 1.340.250 10.00 4.91 2.45 1.330.313 12.34 5.87 2.93 1.32

4.500

0.125 5.85 3.84 1.71 1.550.188 8.67 5.54 2.46 1.530.237 10.80 6.79 3.02 1.520.337 15.00 9.07 4.03 1.480.375 16.54 9.87 4.39 1.47

5.000

0.125 6.51 5.31 2.12 1.730.188 9.67 7.69 3.08 1.710.250 12.69 9.94 3.97 1.690.258 13.08 10.2 4.08 1.690.312 15.64 12.0 4.79 1.670.375 18.54 13.9 5.55 1.65

5.5000.258 14.46 13.7 5.00 1.860.375 20.55 18.8 6.84 1.830.500 26.73 23.5 8.55 1.79

5.563

0.134 7.78 7.84 2.82 1.920.188 10.80 10.7 3.85 1.910.258 14.63 14.2 5.12 1.880.375 20.80 19.5 7.02 1.850.500 27.06 24.4 8.77 1.81

HSS Rounds Dimension and Section Properties


31

OD Wall Wt per ft Moment of Inertia In4 Section Modulus In³ Radius of Gyration In³

6.000

0.125 7.85 9.28 3.09 2.080.188 11.68 13.5 4.51 2.060.250 15.37 17.6 5.86 2.040.280 17.12 19.3 6.45 2.030.312 18.97 21.3 7.11 2.020.375 22.55 24.8 8.28 2.000.500 29.40 31.2 10.4 1.96

6.625

0.125 8.69 12.6 3.79 2.300.188 12.94 18.4 5.54 2.280.250 17.04 23.9 7.22 2.260.280 18.99 26.4 7.96 2.250.312 21.06 29.1 8.79 2.240.375 25.06 34.0 10.3 2.220.432 28.60 38.2 11.5 2.200.500 32.74 42.9 13.0 2.18

7.000

0.125 9.19 14.9 4.25 2.430.188 13.69 21.7 6.21 2.410.250 18.04 28.4 8.11 2.390.312 22.31 34.6 9.88 2.370.375 26.56 40.4 11.6 2.350.500 34.74 51.2 14.6 2.32

8.625

0.188 16.96 41.3 9.57 2.990.250 22.38 54.1 12.5 2.970.322 28.58 68.1 15.8 2.950.375 33.07 77.8 18.0 2.930.500 43.43 100 23.1 2.890.625 53.45 119 27.7 2.85

9.625

0.188 18.97 57.7 12.0 3.340.250 25.06 75.9 15.8 3.320.312 31.06 93.0 19.3 3.300.375 37.08 110 22.8 3.280.500 48.77 141 29.2 3.24

10.7500.250 28.06 106 19.8 3.720.375 41.59 154 28.7 3.680.500 54.79 199 37.0 3.64

12.7500.250 33.41 180 28.2 4.430.375 49.61 262 41.0 4.390.500 65.48 339 53.2 4.35

14.000

0.250 36.75 239 34.1 4.870.312 45.65 295 42.1 4.850.375 54.62 349 49.8 4.830.500 72.16 453 64.8 4.790.625 89.36 552 78.9 4.75

16.000

0.250 42.09 359 44.8 5.580.312 52.32 443 55.4 5.550.375 62.64 526 65.7 5.530.438 72.87 606 75.8 5.510.500 82.85 685 85.7 5.490.625 103.00 838 105 5.46

HSS Rounds Dimension and Section Properties


32

Unit of lengthmeterThe meter is the length of the path travelled by light in vacuum during a time interval of 1/299,792,458 of a second.

Unit of masskilogramThe kilogram is the unit of mass; it is equal to the mass of the international prototype of the kilogram.

Unit of timesecondThe second is the duration of 9 192 631 770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium 133 atom.

Unit of electric current ampereThe ampere is that constant current which, if maintained in two straight parallel conductors of infinite length, of negligible circular cross-section, and placed 1 meter apart in vacuum, would produce between these conductors a force equal to 2 x 10-7 newton per meter of length.

Unit of thermodynamic temperaturekelvinThe kelvin, unit of thermodynamic temperature, is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water.

Unit of amount of substancemole1. The mole is the amount of substance of a system which contains as many

elementary entities as there are atoms in 0.012 kilogram of carbon 12; its symbol is “mol.”

2. When the mole is used, the elementary entities must be specified and may be atoms, molecules, ions, electrons, other particles, or specified groups of such particles.

Unit of luminous intensity candelaThe candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540 x 1012 hertz and that has a radiant intensity in that direction of 1/683 watt per steradian.

Definitions of the SI / Metric Base Units

33

LengthMetric System1 millimeter = 1/1,000 meter 1 centimeter = 1/100 meter decimeter = 1/10 meter 1 meter (basic unit of length) 1 dekameter = 10 meters 1 kilometer = 1,000 metersAmerican and British Units1 inch = 1/36 yard = 1/12 foot 1 foot = 1/3 yard 1 yard (basic unit of length) 1 rod = 5½ yards 1 furlong = 220 yards = 40 rods 1 mile = 1,760 yards = 5,280 feet 1 fathom = 6 feet 1 nautical mile = 6,076.1 feetConversion Factors1 centimeter = 0.39 inch 1 inch = 2.54 centimeters 1 meter = 39.37 inches 1 foot = 0.305 meter 1 meter = 3.28 feet 1 yard = 0.914 meter 1 meter = 1.094 yards 1 kilometer = 0.62 mile 1 mile = 1.609 kilometers

AreaMetric System1 square centimeter = 1/10,000 square meter 1 square decimeter = 1/100 square meter 1 square meter (basic unit of area) 1 are = 100 square meters 1 hectare = 10,000 square meters = 100 ares 1 square kilometer = 1,000,000 square meters American and British Units1 square inch = 1/1,296 square yard = 1/144 square foot 1 square foot = 1/9 square yard 1 square yard (basic unit of area) 1 square rod = 30 1/4 square yards 1 acre = 4,840 square yards = 160 square rods 1 square mile = 3,097,600 square yards = 640 acresConversion Factors1 square centimeter = 0.155 square inch 1 square inch = 6.45 square centimeters 1 acre = 0.405 hectare 1 hectare = 2.47 acres 1 square kilometer = 0.386 square mile 1 square mile = 2.59 square kilometers

Volume and Capacity (Liquid and Dry)Metric System1 cubic centimeter = 1/1,000,000 cubic meter 1 cubic decimeter = 1/1,000 cubic meter 1 cubic meter = 1 stere (basic unit of volume) 1 milliliter = 1/1,000 liter = 1 cubic centimeter 1 centiliter = 1/100 liter 1 deciliter = 1/10 liter 1 liter = 1 cubic decimeter (basic unit of capacity) 1 dekaliter = 10 liters 1 hectoliter = 100 liters = 1/10 cubic meterAmerican and British Units1 cubic inch = 1/46,656 cubic yard = 1/1,728 cubic foot 1 cubic foot = 1/27 cubic yard 1 cubic yard (basic unit of volume) 1 U.S. fluid ounce = 1/128 U.S. gallon = 1/16 U.S. pint 1 British imperial fluid ounce = 1/160 imperial gallon = 1/20 imperial pint 1 pint = 1/8 gallon = ½ quart 1 quart = 1/4 gallon 1 U.S. gallon (basic unit of liquid capacity in the United States) = 231 cubic inches 1 imperial gallon (basic unit of liquid capacity in some Commonwealth nations) = 277.4 cubic inches 1 dry pint = 1/64 bushel = ½ dry quart 1 dry quart = 1/32 bushel = 1/8 peck 1 peck = 1/4 bushel 1 U.S. bushel (basic unit of dry capacity in the United States) = 2,150.4 cubic inches 1 imperial bushel (basic unit of dry capacity in some Commonwealth nations) = 2,219.4 cubic inchesConversion Factors1 cubic centimeter = 0.06 cubic inch 1 cubic inch = 16.4 cubic centimeters 1 cubic yard = 0.765 cubic meter 1 cubic meter = 1.3 cubic yards 1 milliliter = 0.034 fluid ounce 1 fluid ounce = 29.6 milliliters 1 U.S. quart = 0.946 liter 1 liter = 1.06 U.S. quarts 1 U.S. gallon = 3.8 liters 1 imperial gallon = 1.2 U.S. gallons = 4.5 liters 1 liter = 0.9 dry quart 1 dry quart = 1.1 liters 1 dekaliter = 0.28 U.S. bushel 1 U.S. bushel = 0.97 imperial bushel = 3.5 dekaliters

Weight (Mass)Metric System1 milligram = 1/1,000,000 kilogram = 1/1,000 gram 1 centigram = 1/100,000 kilogram = 1/100 gram 1 decigram = 1/10,000 kilogram = 1/10 gram 1 gram = 1/1,000 kilogram 1 dekagram = 1/100 kilogram = 10 grams 1 hectogram = 1/10 kilogram = 100 grams 1 kilogram (basic unit of weight or mass) 1 metric ton = 1,000 kilograms

American and British Units: Avoirdupois1 grain = 1/7,000 pound = 1/437.5 ounce 1 dram = 1/256 pound = 1/16 ounce 1 ounce = 1/16 pound 1 pound (basic unit of weight or mass) 1 short hundredweight = 100 pounds 1 long hundredweight = 112 pounds 1 short ton = 2,000 pounds 1 long ton = 2,240 pounds

American and British Units: Troy and Apothecaries’1 grain = 1/7,000 avoirdupois pound = 1/5,760 troy or apothecaries’ pound 1 apothecaries’ scruple = 20 grains = 1/3 dram 1 pennyweight = 24 grains = 1/20 troy ounce 1 apothecaries’ dram = 60 grains = 1/8 apothecaries’ ounce 1 troy or apothecaries’ ounce = 480 grains = 1/12 troy or apothecaries’ pound 1 troy or apothecaries’ pound = 5,760 grains = 5,760/7,000 avoirdupois pound

Conversion Factors1 milligram = 0.015 grain 1 grain = 64.8 milligrams 1 gram = 0.035 avoirdupois ounce 1 avoirdupois ounce = 28.35 grams 1 troy or apothecaries’ pound = 0.82 avoirdupois pound = 0.37 kilogram 1 avoirdupois pound = 1.2 troy or apothecaries’ pounds = 0.45 kilogram 1 kilogram = 2.205 avoirdupois pounds 1 short ton = 0.9 metric ton 1 metric ton = 1.1 short tons

34

U.S. Weights And Measures Tables

Linear Measure12 inches (in.) = 1 foot (ft.)

1 mil = 0 .001 in.

3 feet= 1 yard (yd)= 36"

Surveyors’ Measurements1 link = 7.92 in

1 rod (rd) = 5½ yards= 16.5 ft.

1 chain

= 4 rods= 22 yds.= 66 ft= 100 links

40 rods= 1 furlong (fur)= 220 yds= 660 ft.

8 furlongs

= 1 statute mile (mi.)= 80 chains= 1,760 yds= 5,280 ft.

5,280 feet = 1 statute or land mile

Nautical Measurements

1 fathom= 2 yds= 6 ft.

100 fathoms = 1 cable length10 cables length = 1 international nautical mile

6,076.11549 feet

= 1 international nautical mile= length of a minute oflongitude at equator= 1.1508 statute miles

3 nautical miles = 1 league

1 knot= 1 nautical mile per hour= 1.1508 statute miles per hour

60 nautical miles= 1 degree of a great circle of earth (latitude)

360 degrees= circumference of earth at equator

= 21,600 nautical miles= 24,856.8 statute miles

Area Measure 1 sq ft. = 144 square inches

1 sq yd= 9 sq. ft= 1,296 sq in.

1 sq rod = 30.25 square yards= 272.25 sq ft.= 625 sq. links

1 acre = 160 square rods= 4,840 sq yds= 43,560 sq ft.

1 sq mi. = 640 acres

= 1 section (of land)

1 township= 6 miles square= 36 sections= 36 sq mi.

Volumes - Cubic1,728 cubic inches = 027 cubic feet = 1 cu yd

Volumes - Liquid Measure

1 pint (pt)= 4 gills (gi)= 16 fluid ounces (oz)= 28.875 cu in.

1 quart (qt) = 2 pints= 57.75 cu in.

1 gallon (gal)

= 4 quarts= 231 cu in.= 8 pts= 32 gills

1 cubic foot = 7.48 gallons1 barrel = 31.5 gallons1 hogshead = 2 barrels

Apothecaries’ Fluid Measure

60 minims (min.) = 1 fluid dram (fl dr)= 0.2256 cu in.

8 fluid drams= 1 fluid ounce (fl oz)= 1.8047 cu in.

16 fluid ounces= 1 pt = 28.875 cu in.= 128 fl drs

2 pints

= 1 qt= 57.75 cu in.= 32 fl oz= 256 fl drs

4 quarts

= 1 gal= 231 cu in.= 128 fl oz= 1,024 fl drs

35

Approximate Conversions To SI Units

Symbol When You Know Multiply By To Find Symbol Symbol When You Know Multiply By To Find Symbol

Length Length

in inches 2.4 millimeters mm mm millimeters 0.039 inches in

ft feet 0.305 meters m m meters 3.28 feet ft

yd yards 0.914 meters m m meters 1.09 yards yd

mi miles 1.61 kilometers km km kilometers 0.621 miles mi

Area Area

in² square inches 645.2square

millimetersmm² mm² square millimeters 0.002

square inches

in²

ft² square feet 0.093square meters

m² m² square meters 10.764 square feet ft²

yd² square yard 0.836square meters

m² m² square meters 1.195 square yards yd²

ac acres 0.405 hectares ha ha hectares 2.47 acres ac

mi² square miles 2.59square

kilometerskm² km² square kilometers 0.386 square miles mi²

Volume Volume

fl oz fluid ounces 29.57 milliliters mL mL milliliters 0.034 fluid ounces fl oz

gal gallons 3.785 liters L L liters 0.264 gallons gal

ft cubic feet 0.028 cubic meters m³ m³ cubic meters 35.314 cubic feet ft³

yd cubic yards 0.765 cubic meters m³ m³ cubic meters 1.307 cubic yards yd³

NOTE: volumes greater than 1000L shall be shown in m³

Mass Mass

oz ounces 28.35 grams g g grams 0.035 ounces oz

lb pounds 0.454 kilograms kg kg kilograms 2.202 pounds lb

T short tons (2000lb)

0.907 megagrams (or metric ton)

Mg (or “t”)

Mg (or “t”)

megagrams (or”metric ton”)

1.13short tons (2000 lb)

T

Temperature (exact degrees) Temperature

ºF Fahrenheit5 (F-32)/9

Celsius ºCºC Celsius 1.8C+32 Fgahrenheit ºF

or (F-32)/1.8

Illumination Illumination

fc foot-candles 10.76 lux lx lx lux 0.093 foot-candles fc

fl foolt - Lamberts 3.426 candela/m² cd/m² cd/m² candela/m² 0.292foot-

Lambertsfl

Force and Pressure or Stress Force and Pressure or Stress

lbf pound force 4.45 newtons N n newtons 0.225 poundforce lbf

lbf/in²pound force per

square inch6.89 kilopascals kPa kPa kilopascals 0.145

poundforce per square

inchlbf/in²

36

37

38

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