structural shapes

37
W SHAPES Dimensions Desig- nation Area A Depth d Web Flange Distance Thickness t w t w 2 Width b f Thickness t f T k k 1 in. 2 in. in. in. in. in. in. in. in. W44×335 98.3 44.02 44 1.020 1 1 2 15.950 15 3 4 1.770 1 3 4 38 7 16 2 9 16 1 5 16 W40×290 85.8 43.62 43 5 8 0.870 7 8 7 16 15.830 15 7 8 1.580 1 9 16 38 7 16 2 3 8 1 1 4 W40×262 77.2 43.31 43 3 8 0.790 13 16 3 8 15.750 15 3 4 1.420 1 7 16 38 7 16 2 3 16 1 3 16 W40×230 67.7 42.91 42 7 8 0.710 11 16 3 8 15.750 15 3 4 1.220 1 1 4 38 7 16 2 1 1 8 W40×593* 174 42.99 43 1.790 1 13 16 1 16.690 16 3 4 3.230 3 1 4 34 3 16 4 7 16 2 1 16 W40×503* 148 42.05 42 1 16 1.540 1 9 16 3 4 16.420 16 7 16 2.760 2 3 4 34 3 16 3 15 16 1 15 16 W40×431 127 41.26 41 1 4 1.340 1 5 16 11 16 16.220 16 1 4 2.360 2 3 8 34 3 16 3 9 16 1 7 8 W40×372 109 40.63 40 5 8 1.160 1 3 16 9 16 16.060 16 1 16 2.050 2 1 16 34 3 16 3 1 4 1 3 4 W40×321 94.1 40.08 40 1 16 1.000 1 1 2 15.910 15 7 8 1.770 1 3 4 34 3 16 2 15 16 1 11 16 W40×297 87.4 39.84 39 7 8 0.930 15 16 1 2 15.825 15 7 8 1.650 1 5 8 34 3 16 3 1 16 1 11 16 W40×277 81.3 39.69 39 3 4 0.830 13 16 7 16 15.830 15 7 8 1.575 1 9 16 34 3 16 2 3 4 1 5 8 W40×249 73.3 39.38 39 3 8 0.750 3 4 3 8 15.750 15 3 4 1.420 1 7 16 34 3 16 2 5 8 1 9 16 W40×215 63.3 38.98 39 0.650 5 8 5 16 15.750 15 3 4 1.220 1 1 4 34 3 16 2 3 8 1 1 2 W40×199 58.4 38.67 38 5 8 0.650 5 8 5 16 15.750 15 3 4 1.065 1 1 16 34 3 16 2 1 4 1 1 2 W40×174 51.1 38.20 38 1 4 0.650 5 8 5 16 15.750 15 3 4 0.830 13 16 34 3 16 2 1 1 2 W40×466* 137 42.44 42 7 16 1.67 1 11 16 13 16 12.640 12 5 8 2.950 2 15 16 34 3 16 4 1 8 2 W40×392* 115 41.57 41 9 16 1.42 1 7 16 11 16 12.360 12 3 8 2.520 2 1 2 34 3 16 3 11 16 1 7 8 W40×331 97.6 40.79 40 13 16 1.22 1 1 4 5 8 12.170 12 3 16 2.130 2 1 8 34 3 16 3 5 16 1 13 16 W40×278 81.8 40.16 40 3 16 1.02 1 1 2 11.970 12 1.810 1 13 16 34 3 16 3 1 11 16 W40×264 77.6 40.00 40 0.960 1 1 2 11.930 12 1.730 1 3 4 34 3 16 2 15 16 1 11 16 W40×235 68.9 39.69 39 3 4 0.830 13 16 7 16 11.890 11 7 8 1.575 1 7 16 34 3 16 2 3 4 1 5 8 W40×211 62.0 39.37 39 3 8 0.750 3 4 3 8 11.810 11 3 4 1.415 1 9 16 34 3 16 2 5 8 1 9 16 W40×183 53.7 38.98 39 0.650 5 8 5 16 11.810 11 3 4 1.220 1 1 4 34 3 16 2 3 8 1 1 2 W40×167 49.1 38.59 38 5 8 0.650 5 8 5 16 11.810 11 3 4 1.025 1 34 3 16 2 3 16 1 1 2 W40×149 43.8 38.20 38 1 4 0.630 5 8 5 16 11.810 11 3 4 0.830 13 16 34 3 16 2 1 1 2 W36×848* 249 42.45 42 1 2 2.520 2 1 2 1 1 4 18.130 18 1 8 4.530 4 1 2 31 1 8 5 11 16 2 1 4 W40×798* 234 41.97 42 2.380 2 3 8 1 3 16 17.990 18 4.290 4 5 16 31 1 8 5 7 16 2 3 16 W40×650* 190 40.47 40 1 2 1.970 2 1 17.575 17 5 8 3.540 3 9 16 31 1 8 4 11 16 2 W40×527* 154 39.21 39 1 4 1.610 1 5 8 13 16 17.220 17 1 4 2.910 2 15 16 31 1 8 4 1 16 1 3 4 W40×439* 128 38.26 38 1 4 1.360 1 3 8 11 16 16.965 17 2.440 2 7 16 31 1 8 3 9 16 1 5 8 W40×393* 115 37.80 37 3 4 1.220 1 1 4 5 8 16.830 16 7 8 2.200 2 3 16 31 1 8 3 5 16 1 5 8 W40×359* 105 37.40 37 3 8 1.120 1 1 8 9 16 16.730 16 3 4 2.010 2 31 1 8 3 1 8 1 9 16 W40×328* 96.4 37.09 37 1 8 1.020 1 1 2 16.630 16 5 8 1.850 1 7 8 31 1 8 3 1 1 2 W40×300 88.3 36.74 36 3 4 0.945 15 16 1 2 16.655 16 5 8 1.680 1 11 16 31 1 8 2 13 16 1 1 2 W40×280 82.4 36.52 36 1 2 0.885 7 8 7 16 16.595 16 5 8 1.570 1 9 16 31 1 8 2 11 16 1 1 2 W40×260 76.5 36.26 36 1 4 0.840 13 16 7 16 16.550 16 1 2 1.440 1 7 16 31 1 8 2 9 16 1 1 2 W40×245 72.1 36.08 36 1 8 0.800 13 16 7 16 16.510 16 1 2 1.350 1 3 8 31 1 8 2 1 2 1 7 16 W40×230 67.6 35.90 35 7 8 0.760 3 4 3 8 16.470 16 1 2 1.260 1 1 4 31 1 8 2 3 8 1 7 16 *Group 4 or Group 5 shape. See Notes in Table 1-2. X X Y Y d t t k k k T b f f w 1 AMERICAN INSTITUTE OF STEEL CONSTRUCTION 1 - 26 DIMENSIONS AND PROPERTIES W SHAPES Properties Nom- inal Wt. per ft Compact Section Criteria X 1 X 2 × 10 6 Elastic Properties Plastic Modulus Axis X-X Axis Y-Y Z x Z y b f 2t f h t w F y ′′′ I S r I S r lb ksi ksi (1/ksi) 2 in. 4 in. 3 in. in. 4 in. 3 in. in. 3 in. 3 335 4.5 38.1 44 2430 5110 31100 1410 17.8 1200 150 3.49 1620 236 290 5.0 44.7 32 2140 8220 27100 1240 17.8 1050 133 3.50 1420 206 262 5.5 49.2 26 1930 12300 24200 1120 17.7 927 118 3.46 1270 183 230 6.5 54.8 21 1690 21200 20800 969 17.5 796 101 3.43 1100 157 593 2.6 19.1 4790 337 50400 2340 17.0 2520 302 3.81 2760 481 503 3.0 22.2 4110 620 41700 1980 16.8 2050 250 3.72 2300 394 431 3.4 25.5 3550 1100 34800 1690 16.6 1690 208 3.65 1950 327 372 3.9 29.5 3100 1860 29600 1460 16.4 1420 177 3.60 1670 277 321 4.5 34.2 2690 3240 25100 1250 16.3 1190 150 3.56 1420 234 297 4.8 36.8 47 2500 4240 23200 1170 16.3 1090 138 3.54 1330 215 277 5.0 41.2 38 2350 5370 21900 1100 16.4 1040 132 3.58 1250 204 249 5.5 45.6 31 2120 7940 19500 992 16.3 926 118 3.56 1120 182 215 6.5 52.6 23 1830 14000 16700 858 16.2 796 101 3.54 963 156 199 7.4 52.6 23 1690 20300 14900 769 16.0 695 88.2 3.45 868 137 174 9.5 52.6 23 1500 36000 12200 639 15.5 541 68.8 3.26 715 107 466 2.1 20.5 4560 473 36300 1710 16.3 1010 160 2.72 2050 262 392 2.5 24.1 3920 851 29900 1440 16.1 803 130 2.64 1710 212 331 2.9 28.0 3360 1560 24700 1210 15.9 646 106 2.57 1430 172 278 3.3 33.5 57 2860 2910 20500 1020 15.8 521 87.1 2.52 1190 140 264 3.4 35.6 50 2720 3510 19400 971 15.8 493 82.6 2.52 1130 132 235 3.8 41.2 38 2430 5310 17400 874 15.9 444 74.6 2.54 1010 118 211 4.2 45.6 31 2200 7890 15500 785 15.8 390 66.1 2.51 905 105 183 4.8 52.6 23 1900 13700 13300 682 15.7 336 56.9 2.50 781 89.6 167 5.8 52.6 23 1750 20500 11600 599 15.3 283 47.9 2.40 692 76.0 149 7.1 54.3 22 1610 31400 9780 512 14.9 229 38.8 2.29 597 62.2 848 2.0 12.5 7100 71 67400 3170 16.4 4550 501 4.27 3830 799 798 2.1 13.2 6720 87 62600 2980 16.4 4200 467 4.24 3570 743 650 2.5 16.0 5590 175 48900 2420 16.0 3230 367 4.12 2840 580 527 3.0 19.6 4630 365 38300 1950 15.8 2490 289 4.02 2270 454 439 3.5 23.1 3900 704 31000 1620 15.6 1990 235 3.95 1860 367 393 3.8 25.8 3540 1040 27500 1450 15.5 1750 208 3.90 1660 325 359 4.2 28.1 3240 1470 24800 1320 15.4 1570 188 3.87 1510 292 328 4.5 30.9 2980 2040 22500 1210 15.3 1420 171 3.84 1380 265 300 5.0 33.3 58 2720 2930 20300 1110 15.2 1300 156 3.83 1260 241 280 5.3 35.6 51 2560 3730 18900 1030 15.1 1200 144 3.81 1170 223 260 5.7 37.5 46 2370 5100 17300 953 15.0 1090 132 3.78 1080 204 245 6.1 39.4 41 2230 6430 16100 895 15.0 1010 123 3.75 1010 190 230 6.5 41.4 37 2100 8190 15000 837 14.9 940 114 3.73 943 176 X X Y Y d t t k k k T b f f w 1 AMERICAN INSTITUTE OF STEEL CONSTRUCTION STRUCTURAL SHAPES 1 - 27

Upload: guillermo-berrios

Post on 13-Apr-2015

51 views

Category:

Documents


4 download

TRANSCRIPT

Page 1: Structural Shapes

W S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb

f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

W44

×335

98.

344

.02

441.

020

11 ⁄ 2

15.9

5015

3 ⁄ 41.

770

13 ⁄ 438

7 ⁄ 16

29 ⁄ 16

15 ⁄ 16

W40

×290

85.

843

.62

435 ⁄ 8

0.87

07 ⁄ 8

7 ⁄ 16

15.8

3015

7 ⁄ 81.

580

19 ⁄ 16

387 ⁄ 1

623 ⁄ 8

11 ⁄ 4W

40×2

62 7

7.2

43.3

143

3 ⁄ 80.

790

13⁄ 16

3 ⁄ 815

.750

153 ⁄ 4

1.42

017 ⁄ 1

638

7 ⁄ 16

23 ⁄ 16

13 ⁄ 16

W40

×230

67.

742

.91

427 ⁄ 8

0.71

011

⁄ 163 ⁄ 8

15.7

5015

3 ⁄ 41.

220

11 ⁄ 438

7 ⁄ 16

211 ⁄ 8

W40

×593

*17

4

42.9

943

1.79

0113

⁄ 161

16.6

9016

3 ⁄ 43.

230

31 ⁄ 434

3 ⁄ 16

47 ⁄ 16

21 ⁄ 16

W40

×503

*14

8

42.0

542

1 ⁄ 16

1.54

019 ⁄ 1

63 ⁄ 4

16.4

2016

7 ⁄ 16

2.76

023 ⁄ 4

343 ⁄ 1

6315

⁄ 16115

⁄ 16W

40×4

3112

7

41.2

641

1 ⁄ 41.

340

15 ⁄ 16

11⁄ 16

16.2

2016

1 ⁄ 42.

360

23 ⁄ 834

3 ⁄ 16

39 ⁄ 16

17 ⁄ 8W

40×3

7210

9

40.6

340

5 ⁄ 81.

160

13 ⁄ 16

9 ⁄ 16

16.0

6016

1 ⁄ 16

2.05

021 ⁄ 1

634

3 ⁄ 16

31 ⁄ 413 ⁄ 4

W40

×321

94.

140

.08

401 ⁄ 1

61.

000

11 ⁄ 2

15.9

1015

7 ⁄ 81.

770

13 ⁄ 434

3 ⁄ 16

215⁄ 16

111⁄ 16

W40

×297

87.

439

.84

397 ⁄ 8

0.93

015

⁄ 161 ⁄ 2

15.8

2515

7 ⁄ 81.

650

15 ⁄ 834

3 ⁄ 16

31 ⁄ 16

111⁄ 16

W40

×277

81.

339

.69

393 ⁄ 4

0.83

013

⁄ 167 ⁄ 1

615

.830

157 ⁄ 8

1.57

519 ⁄ 1

634

3 ⁄ 16

23 ⁄ 415 ⁄ 8

W40

×249

73.

339

.38

393 ⁄ 8

0.75

03 ⁄ 4

3 ⁄ 815

.750

153 ⁄ 4

1.42

017 ⁄ 1

634

3 ⁄ 16

25 ⁄ 819 ⁄ 1

6

W40

×215

63.

338

.98

390.

650

5 ⁄ 85 ⁄ 1

615

.750

153 ⁄ 4

1.22

011 ⁄ 4

343 ⁄ 1

623 ⁄ 8

11 ⁄ 2W

40×1

99 5

8.4

38.6

738

5 ⁄ 80.

650

5 ⁄ 85 ⁄ 1

615

.750

153 ⁄ 4

1.06

511 ⁄ 1

634

3 ⁄ 16

21 ⁄ 411 ⁄ 2

W40

×174

51.

138

.20

381 ⁄ 4

0.65

05 ⁄ 8

5 ⁄ 16

15.7

5015

3 ⁄ 40.

830

13⁄ 16

343 ⁄ 1

62

11 ⁄ 2

W40

×466

*13

7

42.4

442

7 ⁄ 16

1.67

111

⁄ 1613

⁄ 1612

.640

125 ⁄ 8

2.95

0215

⁄ 1634

3 ⁄ 16

41 ⁄ 82

W40

×392

*11

5

41.5

741

9 ⁄ 16

1.42

17 ⁄ 1

611

⁄ 1612

.360

123 ⁄ 8

2.52

021 ⁄ 2

343 ⁄ 1

6311

⁄ 1617 ⁄ 8

W40

×331

97.

640

.79

4013

⁄ 161.

22

11 ⁄ 45 ⁄ 8

12.1

7012

3 ⁄ 16

2.13

021 ⁄ 8

343 ⁄ 1

635 ⁄ 1

6113

⁄ 16W

40×2

78 8

1.8

40.1

640

3 ⁄ 16

1.02

1

1 ⁄ 211

.970

121.

810

113⁄ 16

343 ⁄ 1

63

111⁄ 16

W40

×264

77.

640

.00

400.

960

11 ⁄ 2

11.9

3012

1.73

013 ⁄ 4

343 ⁄ 1

6215

⁄ 16111

⁄ 16W

40×2

35 6

8.9

39.6

939

3 ⁄ 40.

830

13⁄ 16

7 ⁄ 16

11.8

9011

7 ⁄ 81.

575

17 ⁄ 16

343 ⁄ 1

623 ⁄ 4

15 ⁄ 8W

40×2

11 6

2.0

39.3

739

3 ⁄ 80.

750

3 ⁄ 43 ⁄ 8

11.8

1011

3 ⁄ 41.

415

19 ⁄ 16

343 ⁄ 1

625 ⁄ 8

19 ⁄ 16

W40

×183

53.

738

.98

390.

650

5 ⁄ 85 ⁄ 1

611

.810

113 ⁄ 4

1.22

011 ⁄ 4

343 ⁄ 1

623 ⁄ 8

11 ⁄ 2W

40×1

67 4

9.1

38.5

938

5 ⁄ 80.

650

5 ⁄ 85 ⁄ 1

611

.810

113 ⁄ 4

1.02

51

343 ⁄ 1

623 ⁄ 1

611 ⁄ 2

W40

×149

43.

838

.20

381 ⁄ 4

0.63

05 ⁄ 8

5 ⁄ 16

11.8

1011

3 ⁄ 40.

830

13⁄ 16

343 ⁄ 1

62

11 ⁄ 2

W36

×848

*24

9

42.4

542

1 ⁄ 22.

520

21 ⁄ 211 ⁄ 4

18.1

3018

1 ⁄ 84.

530

41 ⁄ 231

1 ⁄ 8511

⁄ 1621 ⁄ 4

W40

×798

*23

4

41.9

742

2.38

023 ⁄ 8

13 ⁄ 16

17.9

9018

4.29

045 ⁄ 1

631

1 ⁄ 857 ⁄ 1

623 ⁄ 1

6

W40

×650

*19

0

40.4

740

1 ⁄ 21.

970

21

17.5

7517

5 ⁄ 83.

540

39 ⁄ 16

311 ⁄ 8

411⁄ 16

2W

40×5

27*

154

39

.21

391 ⁄ 4

1.61

015 ⁄ 8

13⁄ 16

17.2

2017

1 ⁄ 42.

910

215⁄ 16

311 ⁄ 8

41 ⁄ 16

13 ⁄ 4W

40×4

39*

128

38

.26

381 ⁄ 4

1.36

013 ⁄ 8

11⁄ 16

16.9

6517

2.44

027 ⁄ 1

631

1 ⁄ 839 ⁄ 1

615 ⁄ 8

W40

×393

*11

5

37.8

037

3 ⁄ 41.

220

11 ⁄ 45 ⁄ 8

16.8

3016

7 ⁄ 82.

200

23 ⁄ 16

311 ⁄ 8

35 ⁄ 16

15 ⁄ 8W

40×3

59*

105

37

.40

373 ⁄ 8

1.12

011 ⁄ 8

9 ⁄ 16

16.7

3016

3 ⁄ 42.

010

231

1 ⁄ 831 ⁄ 8

19 ⁄ 16

W40

×328

* 9

6.4

37.0

937

1 ⁄ 81.

020

11 ⁄ 2

16.6

3016

5 ⁄ 81.

850

17 ⁄ 831

1 ⁄ 83

11 ⁄ 2W

40×3

00 8

8.3

36.7

436

3 ⁄ 40.

945

15⁄ 16

1 ⁄ 216

.655

165 ⁄ 8

1.68

0111

⁄ 1631

1 ⁄ 8213

⁄ 1611 ⁄ 2

W40

×280

82.

436

.52

361 ⁄ 2

0.88

57 ⁄ 8

7 ⁄ 16

16.5

9516

5 ⁄ 81.

570

19 ⁄ 16

311 ⁄ 8

211⁄ 16

11 ⁄ 2W

40×2

60 7

6.5

36.2

636

1 ⁄ 40.

840

13⁄ 16

7 ⁄ 16

16.5

5016

1 ⁄ 21.

440

17 ⁄ 16

311 ⁄ 8

29 ⁄ 16

11 ⁄ 2W

40×2

45 7

2.1

36.0

836

1 ⁄ 80.

800

13⁄ 16

7 ⁄ 16

16.5

1016

1 ⁄ 21.

350

13 ⁄ 831

1 ⁄ 821 ⁄ 2

17 ⁄ 16

W40

×230

67.

635

.90

357 ⁄ 8

0.76

03 ⁄ 4

3 ⁄ 816

.470

161 ⁄ 2

1.26

011 ⁄ 4

311 ⁄ 8

23 ⁄ 817 ⁄ 1

6

*Gro

up 4

or

Gro

up 5

sha

pe. S

ee N

otes

in T

able

1-2

.

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

26D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

W S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Z xZ

yb

f

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

335

4.5

38.1

4424

30 5

110

3110

014

1017

.812

0015

0

3.49

1620

236

29

05.

044

.732

2140

822

027

100

1240

17.8

1050

133

3.

5014

2020

6

262

5.5

49.2

2619

3012

300

2420

011

2017

.7 9

2711

8

3.46

1270

183

23

06.

554

.821

1690

2120

020

800

969

17.5

796

101

3.

4311

0015

7

593

2.6

19.1

—47

90

337

5040

023

4017

.025

2030

2

3.81

2760

481

50

33.

022

.2—

4110

62

041

700

1980

16.8

2050

250

3.

7223

0039

4

431

3.4

25.5

—35

50 1

100

3480

016

9016

.616

9020

8

3.65

1950

327

37

23.

929

.5—

3100

186

029

600

1460

16.4

1420

177

3.

6016

7027

7

321

4.5

34.2

—26

90 3

240

2510

012

5016

.311

9015

0

3.56

1420

234

29

74.

836

.847

2500

424

023

200

1170

16.3

1090

138

3.

5413

3021

5

277

5.0

41.2

3823

50 5

370

2190

011

0016

.410

4013

2

3.58

1250

204

24

95.

545

.631

2120

794

019

500

992

16.3

926

118

3.

5611

2018

2

215

6.5

52.6

2318

3014

000

1670

0 8

5816

.2 7

9610

1

3.54

963

156

19

97.

452

.623

1690

2030

014

900

769

16.0

695

88.

23.

45 8

6813

7

174

9.5

52.6

2315

0036

000

1220

0 6

3915

.5 5

41 6

8.8

3.26

715

107

466

2.1

20.5

—45

60

473

3630

017

1016

.310

1016

0

2.72

2050

262

39

22.

524

.1—

3920

85

129

900

1440

16.1

803

130

2.

6417

1021

2

331

2.9

28.0

—33

60 1

560

2470

012

1015

.9 6

4610

6

2.57

1430

172

27

83.

333

.5 5

728

60 2

910

2050

010

2015

.8 5

21 8

7.1

2.52

1190

140

26

43.

435

.6 5

027

20 3

510

1940

0 9

7115

.8 4

93 8

2.6

2.52

1130

132

23

53.

841

.2 3

824

30 5

310

1740

0 8

7415

.9 4

44 7

4.6

2.54

1010

118

21

14.

245

.6 3

122

00 7

890

1550

0 7

8515

.8 3

90 6

6.1

2.51

905

105

18

34.

852

.6 2

319

0013

700

1330

0 6

8215

.7 3

36 5

6.9

2.50

781

89.

616

75.

852

.6 2

317

5020

500

1160

0 5

9915

.3 2

83 4

7.9

2.40

692

76.

014

97.

154

.3 2

216

1031

400

9780

512

14.9

229

38.

82.

29 5

97 6

2.2

848

2.0

12.5

—71

00

71

6740

031

7016

.445

5050

1

4.27

3830

799

79

82.

113

.2—

6720

8

762

600

2980

16.4

4200

467

4.

2435

7074

3

650

2.5

16.0

—55

90

175

4890

024

2016

.032

3036

7

4.12

2840

580

52

73.

019

.6—

4630

36

538

300

1950

15.8

2490

289

4.

0222

7045

4

439

3.5

23.1

—39

00

704

3100

016

2015

.619

9023

5

3.95

1860

367

39

33.

825

.8—

3540

104

027

500

1450

15.5

1750

208

3.

9016

6032

5

359

4.2

28.1

—32

40 1

470

2480

013

2015

.415

7018

8

3.87

1510

292

32

84.

530

.9—

2980

204

022

500

1210

15.3

1420

171

3.

8413

8026

5

300

5.0

33.3

58

2720

293

020

300

1110

15.2

1300

156

3.

8312

6024

1

280

5.3

35.6

51

2560

373

018

900

1030

15.1

1200

144

3.

8111

7022

3

260

5.7

37.5

46

2370

510

017

300

953

15.0

1090

132

3.

7810

8020

4

245

6.1

39.4

41

2230

643

016

100

895

15.0

1010

123

3.

7510

1019

0

230

6.5

41.4

37

2100

819

015

000

837

14.9

940

114

3.

73 9

4317

6

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

27

Page 2: Structural Shapes

W S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb

f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

W36

×256

75.

437

.43

373 ⁄ 8

0.96

01

1 ⁄ 212

.215

121 ⁄ 4

1.73

013 ⁄ 4

321 ⁄ 8

25 ⁄ 815 ⁄ 1

6

W40

×232

68.

137

.12

371 ⁄ 8

0.87

07 ⁄ 8

7 ⁄ 16

12.1

2012

1 ⁄ 81.

570

19 ⁄ 16

321 ⁄ 8

21 ⁄ 211 ⁄ 4

W40

×210

61.

836

.69

363 ⁄ 4

0.83

013

⁄ 167 ⁄ 1

612

.180

121 ⁄ 8

1.36

013 ⁄ 8

321 ⁄ 8

25 ⁄ 16

11 ⁄ 4W

40×1

94 5

7.0

36.4

936

1 ⁄ 20.

765

3 ⁄ 43 ⁄ 8

12.1

1512

1 ⁄ 81.

260

11 ⁄ 432

1 ⁄ 823 ⁄ 1

613 ⁄ 1

6

W40

×182

53.

636

.33

363 ⁄ 8

0.72

53 ⁄ 4

3 ⁄ 812

.075

121 ⁄ 8

1.18

013 ⁄ 1

632

1 ⁄ 821 ⁄ 8

13 ⁄ 16

W40

×170

50.

036

.17

361 ⁄ 8

0.68

011

⁄ 163 ⁄ 8

12.0

3012

1.10

011 ⁄ 8

321 ⁄ 8

213 ⁄ 1

6

W40

×160

47.

036

.01

360.

650

5 ⁄ 85 ⁄ 1

612

.000

121.

020

132

1 ⁄ 8115

⁄ 1611 ⁄ 8

W40

×150

44.

235

.85

357 ⁄ 8

0.62

55 ⁄ 8

5 ⁄ 16

11.9

7512

0.94

015

⁄ 1632

1 ⁄ 817 ⁄ 8

11 ⁄ 8W

40×1

35 3

9.7

35.5

535

1 ⁄ 20.

600

5 ⁄ 85 ⁄ 1

611

.950

120.

790

13⁄ 16

321 ⁄ 8

111⁄ 16

11 ⁄ 8

W33

×354

*10

4

35.5

535

1 ⁄ 21.

160

13 ⁄ 16

5 ⁄ 816

.100

161 ⁄ 8

2.09

021 ⁄ 1

629

3 ⁄ 427 ⁄ 8

13 ⁄ 8W

40×3

18*

93.

535

.16

351 ⁄ 8

1.04

011 ⁄ 1

69 ⁄ 1

615

.985

161.

890

17 ⁄ 829

3 ⁄ 4211

⁄ 1615 ⁄ 1

6

W40

×291

* 8

5.6

34.8

434

7 ⁄ 80.

960

11 ⁄ 2

15.9

0515

7 ⁄ 81.

730

13 ⁄ 429

3 ⁄ 429 ⁄ 1

611 ⁄ 4

W40

×263

* 7

7.4

34.5

334

1 ⁄ 20.

870

7 ⁄ 87 ⁄ 1

615

.805

153 ⁄ 4

1.57

019 ⁄ 1

629

3 ⁄ 423 ⁄ 8

13 ⁄ 16

W40

×241

70.

934

.18

341 ⁄ 8

0.83

013

⁄ 167 ⁄ 1

615

.860

157 ⁄ 8

1.40

013 ⁄ 8

293 ⁄ 4

23 ⁄ 16

13 ⁄ 16

W40

×221

65.

033

.93

337 ⁄ 8

0.77

53 ⁄ 4

3 ⁄ 815

.805

153 ⁄ 4

1.27

511 ⁄ 4

293 ⁄ 4

21 ⁄ 16

13 ⁄ 16

W40

×201

59.

133

.68

335 ⁄ 8

0.71

511

⁄ 163 ⁄ 8

15.7

4515

3 ⁄ 41.

150

11 ⁄ 829

3 ⁄ 4115

⁄ 1611 ⁄ 8

W33

×169

49.

533

.82

337 ⁄ 8

0.67

011

⁄ 163 ⁄ 8

11.5

0011

1 ⁄ 21.

220

11 ⁄ 429

3 ⁄ 421 ⁄ 1

611 ⁄ 8

W40

×152

44.

733

.49

331 ⁄ 2

0.63

55 ⁄ 8

5 ⁄ 16

11.5

6511

5 ⁄ 81.

055

11 ⁄ 16

293 ⁄ 4

17 ⁄ 811 ⁄ 8

W40

×141

41.

633

.30

331 ⁄ 4

0.60

55 ⁄ 8

5 ⁄ 16

11.5

3511

1 ⁄ 20.

960

15⁄ 16

293 ⁄ 4

13 ⁄ 411 ⁄ 1

6

W40

×130

38.

333

.09

331 ⁄ 8

0.58

09 ⁄ 1

65 ⁄ 1

611

.510

111 ⁄ 2

0.85

57 ⁄ 8

293 ⁄ 4

111⁄ 16

11 ⁄ 16

W40

×118

34.

732

.86

327 ⁄ 8

0.55

09 ⁄ 1

65 ⁄ 1

611

.480

111 ⁄ 2

0.74

03 ⁄ 4

293 ⁄ 4

19 ⁄ 16

11 ⁄ 16

W30

×477

*14

0

34.2

134

1 ⁄ 41.

630

15 ⁄ 813

⁄ 1615

.865

157 ⁄ 8

2.95

03

263 ⁄ 4

33 ⁄ 419 ⁄ 1

6

W40

×391

*11

4

33.1

933

1 ⁄ 41.

360

13 ⁄ 811

⁄ 1615

.590

155 ⁄ 8

2.44

027 ⁄ 1

626

3 ⁄ 431 ⁄ 4

17 ⁄ 16

W40

×326

* 9

5.7

32.4

032

3 ⁄ 81.

140

11 ⁄ 89 ⁄ 1

615

.370

153 ⁄ 8

2.05

021 ⁄ 1

626

3 ⁄ 4213

⁄ 1615 ⁄ 1

6

W40

×292

* 8

5.7

32.0

132

1.02

01

1 ⁄ 215

.255

151 ⁄ 2

1.85

017 ⁄ 8

263 ⁄ 4

25 ⁄ 811 ⁄ 4

W40

×261

76.

731

.61

315 ⁄ 8

0.93

015

⁄ 161 ⁄ 2

15.1

5515

1 ⁄ 81.

650

15 ⁄ 826

3 ⁄ 427 ⁄ 1

613 ⁄ 1

6

W40

×235

69.

031

.30

311 ⁄ 4

0.83

013

⁄ 167 ⁄ 1

615

.055

151.

500

11 ⁄ 226

3 ⁄ 421 ⁄ 4

11 ⁄ 8W

40×2

11 6

2.0

30.9

431

0.77

53 ⁄ 4

3 ⁄ 815

.105

151 ⁄ 8

1.31

515 ⁄ 1

626

3 ⁄ 421 ⁄ 8

11 ⁄ 8W

40×1

91 5

6.1

30.6

830

5 ⁄ 80.

710

11⁄ 16

3 ⁄ 815

.040

151.

185

13 ⁄ 16

263 ⁄ 4

115⁄ 16

11 ⁄ 16

W40

×173

50.

830

.44

301 ⁄ 2

0.65

55 ⁄ 8

5 ⁄ 16

14.9

8515

1.06

511 ⁄ 1

626

3 ⁄ 411 ⁄ 1

611 ⁄ 1

6

W30

×148

43.

530

.67

305 ⁄ 8

0.65

05 ⁄ 8

5 ⁄ 16

10.4

8010

1 ⁄ 21.

180

13 ⁄ 16

263 ⁄ 4

21

W40

×132

38.

930

.31

301 ⁄ 4

0.61

55 ⁄ 8

5 ⁄ 16

10.5

4510

1 ⁄ 21.

000

126

3 ⁄ 413 ⁄ 4

11 ⁄ 16

W40

×124

36.

530

.17

301 ⁄ 8

0.58

59 ⁄ 1

65 ⁄ 1

610

.515

101 ⁄ 2

0.93

015

⁄ 1626

3 ⁄ 4111

⁄ 161

W40

×116

34.

230

.01

300.

565

9 ⁄ 16

5 ⁄ 16

10.4

9510

1 ⁄ 20.

850

7 ⁄ 826

3 ⁄ 415 ⁄ 8

1W

40×1

08 3

1.7

29.8

329

7 ⁄ 80.

545

9 ⁄ 16

5 ⁄ 16

10.4

7510

1 ⁄ 20.

760

3 ⁄ 426

3 ⁄ 419 ⁄ 1

61

W40

×99

29.

129

.65

295 ⁄ 8

0.52

01 ⁄ 2

1 ⁄ 410

.450

101 ⁄ 2

0.67

011

⁄ 1626

3 ⁄ 417 ⁄ 1

61

W40

×90

26.

429

.53

291 ⁄ 2

0.47

01 ⁄ 2

1 ⁄ 410

.400

103 ⁄ 8

0.61

09 ⁄ 1

626

3 ⁄ 415 ⁄ 1

61

*Gro

up 4

or

Gro

up 5

sha

pe. S

ee N

otes

in T

able

1-2

.

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

28D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

W S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Z xZ

yb

f

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

256

3.5

33.8

5628

40 2

870

1680

0 8

9514

.9 5

28 8

6.5

2.65

1040

137

23

23.

937

.346

2580

416

015

000

809

14.8

468

77.

22.

62 9

3612

2

210

4.5

39.1

4223

20 6

560

1320

0 7

1914

.6 4

11 6

7.5

2.58

833

107

19

44.

842

.436

2140

885

012

100

664

14.6

375

61.

92.

56 7

67 9

7.7

182

5.1

44.8

3220

2011

300

1130

0 6

2314

.5 3

47 5

7.6

2.55

718

90.

717

05.

547

.828

1900

1450

010

500

580

14.5

320

53.

22.

53 6

68 8

3.8

160

5.9

50.0

2617

8018

600

975

0 5

4214

.4 2

95 4

9.1

2.50

624

77.

315

06.

452

.024

1680

2420

0 9

040

504

14.3

270

45.

12.

47 5

81 7

0.9

135

7.6

54.1

2215

2038

000

780

0 4

3914

.0 2

25 3

7.7

2.38

509

59.

7

354

3.8

25.8

—35

40 1

030

2190

012

3014

.514

6018

1

3.74

1420

282

31

84.

228

.8—

3200

153

019

500

1110

14.4

1290

161

3.

7112

7025

0

291

4.6

31.2

—29

40 2

130

1770

010

1014

.411

6014

6

3.69

1150

226

26

35.

034

.554

2670

310

015

800

917

14.3

1030

131

3.

6610

4020

2

241

5.7

36.1

4924

30 4

590

1420

0 8

2914

.1 9

3211

8

3.63

939

182

22

16.

238

.743

2240

644

012

800

757

14.1

840

106

3.

59 8

5516

4

201

6.8

41.9

3620

40 9

390

1150

0 6

8414

.0 7

49 9

5.2

3.56

772

147

169

4.7

44.7

3221

60 8

150

929

0 5

4913

.7 3

10 5

3.9

2.50

629

84.

415

25.

547

.229

1940

1290

0 8

160

487

13.5

273

47.

22.

47 5

59 7

3.9

141

6.0

49.6

2618

0017

800

745

0 4

4813

.4 2

46 4

2.7

2.43

514

66.

913

06.

751

.724

1660

2510

0 6

710

406

13.2

218

37.

92.

39 4

67 5

9.5

118

7.8

54.5

2215

1037

700

590

0 3

5913

.0 1

87 3

2.6

2.32

415

51.

3

477

2.7

16.6

—54

20

193

2610

015

3013

.719

7024

9

3.75

1790

390

39

13.

219

.9—

4510

38

620

700

1250

13.5

1550

198

3.

6814

3031

0

326

3.7

23.7

—38

60

735

1680

010

3013

.212

4016

2

3.61

1190

252

29

24.

126

.5—

3460

111

014

900

928

13.2

1100

144

3.

5810

6022

3

261

4.6

29.0

—31

10 1

690

1310

0 8

2713

.1 9

5912

7

3.54

941

196

23

55.

032

.561

2820

246

011

700

746

13.0

855

114

3.

52 8

4517

5

211

5.7

34.9

5325

10 3

950

1030

0 6

6312

.9 7

5710

0

3.49

749

154

19

16.

338

.044

2280

584

0 9

170

598

12.8

673

89.

53.

46 6

7313

8

173

7.0

41.2

3820

70 8

540

820

0 5

3912

.7 5

98 7

9.8

3.43

605

123

148

4.4

41.5

3723

10 6

180

668

0 4

3612

.4 2

27 4

3.3

2.28

500

68.

013

25.

343

.933

2050

1050

0 5

770

380

12.2

196

37.

22.

25 4

37 5

8.4

124

5.7

46.2

3019

3013

500

536

0 3

5512

.1 1

81 3

4.4

2.23

408

54.

011

66.

247

.828

1800

1770

0 4

930

329

12.0

164

31.

32.

19 3

78 4

9.2

108

6.9

49.6

2616

8024

200

447

0 2

9911

.9 1

46 2

7.9

2.15

346

43.

9 9

97.

851

.924

1560

3410

0 3

990

269

11.7

128

24.

52.

10 3

12 3

8.6

90

8.5

57.5

1914

3047

000

362

0 2

4511

.7 1

15 2

2.1

2.09

283

34.

7

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

29

Page 3: Structural Shapes

W S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb

f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

W27

×539

*15

8

32.5

232

1 ⁄ 21.

970

21

15.2

5515

1 ⁄ 43.

540

39 ⁄ 16

2441 ⁄ 4

15 ⁄ 8W

40×4

48*

131

31

.42

313 ⁄ 8

1.65

015 ⁄ 8

13⁄ 16

14.9

4015

2.99

03

24311

⁄ 1611 ⁄ 2

W40

×368

*10

8

30.3

930

3 ⁄ 81.

380

13 ⁄ 811

⁄ 1614

.665

145 ⁄ 8

2.48

021 ⁄ 2

2433 ⁄ 1

615 ⁄ 1

6

W40

×307

* 9

0.2

29.6

129

5 ⁄ 81.

160

13 ⁄ 16

5 ⁄ 814

.445

141 ⁄ 2

2.09

021 ⁄ 1

624

213⁄ 16

11 ⁄ 4W

40×2

58 7

5.7

28.9

829

0.98

01

1 ⁄ 214

.270

141 ⁄ 4

1.77

013 ⁄ 4

2421 ⁄ 2

11 ⁄ 8W

40×2

35 6

9.1

28.6

628

5 ⁄ 80.

910

15⁄ 16

1 ⁄ 214

.190

141 ⁄ 4

1.61

015 ⁄ 8

2425 ⁄ 1

611 ⁄ 8

W40

×217

63.

828

.43

283 ⁄ 8

0.83

013

⁄ 167 ⁄ 1

614

.115

141 ⁄ 8

1.50

011 ⁄ 2

2423 ⁄ 1

611 ⁄ 1

6

W40

×194

57.

028

.11

281 ⁄ 8

0.75

03 ⁄ 4

3 ⁄ 814

.035

141.

340

15 ⁄ 16

2421 ⁄ 1

61

W40

×178

52.

327

.81

273 ⁄ 4

0.72

53 ⁄ 4

3 ⁄ 814

.085

141 ⁄ 8

1.19

013 ⁄ 1

624

17 ⁄ 811 ⁄ 1

6

W40

×161

47.

427

.59

275 ⁄ 8

0.66

011

⁄ 163 ⁄ 8

14.0

2014

1.08

011 ⁄ 1

624

113⁄ 16

1W

40×1

46 4

2.9

27.3

827

3 ⁄ 80.

605

5 ⁄ 85 ⁄ 1

613

.965

140.

975

124

111⁄ 16

1

W27

×129

37.

827

.63

275 ⁄ 8

0.61

05 ⁄ 8

5 ⁄ 16

10.0

1010

1.10

011 ⁄ 8

24113

⁄ 1615

⁄ 16W

40×1

14 3

3.5

27.2

927

1 ⁄ 40.

570

9 ⁄ 16

5 ⁄ 16

10.0

7010

1 ⁄ 80.

930

15⁄ 16

2415 ⁄ 8

15⁄ 16

W40

×102

30.

027

.09

271 ⁄ 8

0.51

51 ⁄ 2

1 ⁄ 410

.015

100.

830

13⁄ 16

2419 ⁄ 1

615

⁄ 16W

40×9

4 2

7.7

26.9

226

7 ⁄ 80.

490

1 ⁄ 21 ⁄ 4

9.9

9010

0.74

53 ⁄ 4

2417 ⁄ 1

615

⁄ 16W

40×8

4 2

4.8

26.7

126

3 ⁄ 40.

460

7 ⁄ 16

1 ⁄ 4 9

.960

100.

640

5 ⁄ 824

13 ⁄ 815

⁄ 16

W24

×492

*14

4

29.6

529

5 ⁄ 81.

970

21

14.1

1514

1 ⁄ 83.

540

39 ⁄ 16

2145 ⁄ 1

619 ⁄ 1

6

W40

×408

*11

9

28.5

428

1 ⁄ 21.

650

15 ⁄ 813

⁄ 1613

.800

133 ⁄ 4

2.99

03

2133 ⁄ 4

13 ⁄ 8W

40×3

35*

98.

427

.52

271 ⁄ 2

1.38

013 ⁄ 8

11⁄ 16

13.5

2013

1 ⁄ 22.

480

21 ⁄ 221

31 ⁄ 411 ⁄ 4

W40

×279

* 8

2.0

26.7

326

3 ⁄ 41.

160

13 ⁄ 16

5 ⁄ 813

.305

131 ⁄ 4

2.09

021 ⁄ 1

621

27 ⁄ 811 ⁄ 8

W40

×250

* 7

3.5

26.3

426

3 ⁄ 81.

040

11 ⁄ 16

9 ⁄ 16

13.1

8513

1 ⁄ 81.

890

17 ⁄ 821

211⁄ 16

11 ⁄ 8W

40×2

29 6

7.2

26.0

226

0.96

01

1 ⁄ 213

.110

131 ⁄ 8

1.73

013 ⁄ 4

2121 ⁄ 2

1W

40×2

07 6

0.7

25.7

125

3 ⁄ 40.

870

7 ⁄ 87 ⁄ 1

613

.010

131.

570

19 ⁄ 16

2123 ⁄ 8

1W

40×1

92 5

6.3

25.4

725

1 ⁄ 20.

810

13⁄ 16

7 ⁄ 16

12.9

5013

1.46

017 ⁄ 1

621

21 ⁄ 41

W40

×176

51.

725

.24

251 ⁄ 4

0.75

03 ⁄ 4

3 ⁄ 812

.890

127 ⁄ 8

1.34

015 ⁄ 1

621

21 ⁄ 815

⁄ 16W

40×1

62 4

7.7

25.0

025

0.70

511

⁄ 163 ⁄ 8

12.9

5513

1.22

011 ⁄ 4

212

11 ⁄ 16

W40

×146

43.

024

.74

243 ⁄ 4

0.65

05 ⁄ 8

5 ⁄ 16

12.9

0012

7 ⁄ 81.

090

11 ⁄ 16

2117 ⁄ 8

11 ⁄ 16

W40

×131

38.

524

.48

241 ⁄ 2

0.60

55 ⁄ 8

5 ⁄ 16

12.8

5512

7 ⁄ 80.

960

15⁄ 16

2113 ⁄ 4

11 ⁄ 16

W40

×117

34.

424

.26

241 ⁄ 4

0.55

09 ⁄ 1

65 ⁄ 1

612

.800

123 ⁄ 4

0.85

07 ⁄ 8

2115 ⁄ 8

1W

40×1

04 3

0.6

24.0

624

0.50

01 ⁄ 2

1 ⁄ 412

.750

123 ⁄ 4

0.75

03 ⁄ 4

2111 ⁄ 2

1

W24

×103

30.

324

.53

241 ⁄ 2

0.55

09 ⁄ 1

65 ⁄ 1

6 9

.000

90.

980

121

13 ⁄ 413

⁄ 16W

40×9

4 2

7.7

24.3

124

1 ⁄ 40.

515

1 ⁄ 21 ⁄ 4

9.0

6591 ⁄ 8

0.87

57 ⁄ 8

2115 ⁄ 8

1W

40×8

4 2

4.7

24.1

024

1 ⁄ 80.

470

1 ⁄ 21 ⁄ 4

9.0

209

0.77

03 ⁄ 4

2119 ⁄ 1

615

⁄ 16W

40×7

6 2

2.4

23.9

223

7 ⁄ 80.

440

7 ⁄ 16

1 ⁄ 4 8

.990

90.

680

11⁄ 16

2117 ⁄ 1

615

⁄ 16W

40×6

8 2

0.1

23.7

323

3 ⁄ 40.

415

7 ⁄ 16

1 ⁄ 4 8

.965

90.

585

9 ⁄ 16

2113 ⁄ 8

15⁄ 16

W24

×62

18.

223

.74

233 ⁄ 4

0.43

07 ⁄ 1

61 ⁄ 4

7.0

407

0.59

09 ⁄ 1

621

13 ⁄ 815

⁄ 16W

40×5

5 1

6.2

23.5

723

5 ⁄ 80.

395

3 ⁄ 83 ⁄ 1

6 7

.005

70.

505

1 ⁄ 221

15 ⁄ 16

15⁄ 16

* G

roup

4 o

r G

roup

5 s

hape

. See

Not

es in

Tab

le 1

-2.

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

30D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

W S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Z xZ

yb

f

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

539

2.2

12.3

—71

60

66

2550

015

7012

.7

2110

27

7

3.66

1880

437

44

82.

514

.7—

6070

12

320

400

1300

12.5

16

70

224

3.

5715

3035

1

368

3.0

17.6

—51

00

243

1610

010

6012

.2

1310

17

9

3.48

1240

279

30

73.

520

.9—

4320

46

313

100

884

12.0

10

50

146

3.

4210

2022

7

258

4.0

24.7

—36

70

873

1080

0 7

4211

.9

859

12

0

3.37

850

187

23

54.

426

.6—

3360

123

0 9

660

674

11.8

7

68

108

3.

33 7

6916

8

217

4.7

29.2

—31

20 1

640

887

0 6

2411

.8

704

9

9.8

3.32

708

154

19

45.

232

.361

2800

252

0 7

820

556

11.7

6

18

88.

1 3.

29 6

2813

6

178

5.9

33.4

5725

50 3

740

699

0 5

0211

.6

555

7

8.8

3.26

567

122

16

16.

536

.747

2320

537

0 6

280

455

11.5

4

97

70.

9 3.

24 5

1210

9

146

7.2

40.0

4021

10 7

900

563

0 4

1111

.4

443

6

3.5

3.21

461

97.

5

129

4.5

39.7

4123

90 5

340

476

0 3

4511

.2

184

3

6.8

2.21

395

57.

611

45.

442

.535

2100

922

0 4

090

299

11.0

1

59

31.

5 2.

18 3

43 4

9.3

102

6.0

47.0

2918

9014

000

362

0 2

6711

.0

139

2

7.8

2.15

305

43.

4 9

46.

749

.426

1740

1990

0 3

270

243

10.9

1

24

24.

8 2.

12 2

78 3

8.8

84

7.8

52.7

2315

7031

100

285

0 2

1310

.7

106

2

1.2

2.07

244

33.

2

492

2.0

10.9

—79

50

43

1910

012

9011

.5

1670

23

7

3.41

1550

375

40

82.

313

.1—

6780

7

915

100

1060

11.3

13

20

191

3.

3312

5030

0

335

2.7

15.6

—57

00

156

1190

0 8

6411

.0

1030

15

2

3.23

1020

238

27

93.

218

.6—

4840

29

7 9

600

718

10.8

8

23

124

3.

17 8

3519

3

250

3.5

20.7

—43

70

436

849

0 6

4410

.7

724

11

0

3.14

744

171

22

93.

822

.5—

4020

60

5 7

650

588

10.7

6

51

99.

4 3.

11 6

7615

4

207

4.1

24.8

—36

50

876

682

0 5

3110

.6

578

8

8.8

3.08

606

137

19

24.

426

.6—

3410

115

0 6

260

491

10.5

5

30

81.

8 3.

07 5

5912

6

176

4.8

28.7

—31

40 1

590

568

0 4

5010

.5

479

7

4.3

3.04

511

115

16

25.

330

.6—

2870

226

0 5

170

414

10.4

4

43

68.

4 3.

05 4

6810

5

146

5.9

33.2

5825

90 3

420

458

0 3

7110

.3

391

6

0.5

3.01

418

93.

213

16.

735

.650

2330

529

0 4

020

329

10.2

3

40

53.

0 2.

97 3

70 8

1.5

117

7.5

39.2

4220

90 8

190

354

0 2

9110

.1

297

4

6.5

2.94

327

71.

410

48.

543

.134

1860

1290

0 3

100

258

10.1

2

59

40.

7 2.

91 2

89 6

2.4

103

4.6

39.2

4224

00 5

280

300

0 2

45 9

.96

119

2

6.5

1.99

280

41.

5 9

45.

241

.937

2180

780

0 2

700

222

9.8

7 1

09

24.

0 1.

98 2

54 3

7.5

84

5.9

45.9

3019

5012

200

237

0 1

96 9

.79

94

.4 2

0.9

1.95

224

32.

6 7

66.

649

.027

1760

1860

0 2

100

176

9.6

9

82.5

18.

4 1.

92 2

00 2

8.6

68

7.7

52.0

2415

9029

000

183

0 1

54 9

.55

70

.4 1

5.7

1.87

177

24.

5

62

6.0

50.1

2517

0025

100

155

0 1

31 9

.23

34

.5

9.80

1.38

153

15.

7 5

56.

954

.621

1540

3960

0 1

350

114

9.1

1

29.1

8.

301.

34 1

34 1

3.3

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

31

Page 4: Structural Shapes

W S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb

f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

W21

×201

59.2

23.0

323

0.91

015

⁄ 161 ⁄ 2

12.5

7512

5 ⁄ 81.

630

15 ⁄ 818

1 ⁄ 423 ⁄ 8

1W

40×1

8253

.622

.72

223 ⁄ 4

0.83

013

⁄ 167 ⁄ 1

612

.500

121 ⁄ 2

1.48

011 ⁄ 2

181 ⁄ 4

21 ⁄ 41

W40

×166

48.8

22.4

822

1 ⁄ 20.

750

3 ⁄ 43 ⁄ 8

12.4

2012

3 ⁄ 81.

360

13 ⁄ 818

1 ⁄ 421 ⁄ 8

15⁄ 16

W40

×147

43.2

22.0

622

0.72

03 ⁄ 4

3 ⁄ 812

.510

121 ⁄ 2

1.15

011 ⁄ 8

181 ⁄ 4

17 ⁄ 811 ⁄ 1

6

W40

×132

38.8

21.8

321

7 ⁄ 80.

650

5 ⁄ 85 ⁄ 1

612

.440

121 ⁄ 2

1.03

511 ⁄ 1

618

1 ⁄ 4113

⁄ 161

W40

×122

35.9

21.6

821

5 ⁄ 80.

600

5 ⁄ 85 ⁄ 1

612

.390

123 ⁄ 8

0.96

015

⁄ 1618

1 ⁄ 4111

⁄ 161

W40

×111

32.7

21.5

121

1 ⁄ 20.

550

9 ⁄ 16

5 ⁄ 16

12.3

4012

3 ⁄ 80.

875

7 ⁄ 818

1 ⁄ 415 ⁄ 8

15⁄ 16

W40

×101

29.8

21.3

621

3 ⁄ 80.

500

1 ⁄ 21 ⁄ 4

12.2

9012

1 ⁄ 40.

800

13⁄ 16

181 ⁄ 4

19 ⁄ 16

15⁄ 16

W21

×93

27.3

21.6

221

5 ⁄ 80.

580

9 ⁄ 16

5 ⁄ 16

8.4

2083 ⁄ 8

0.93

015

⁄ 1618

1 ⁄ 4111

⁄ 161

W40

×83

24.3

21.4

321

3 ⁄ 80.

515

1 ⁄ 21 ⁄ 4

8.3

5583 ⁄ 8

0.83

513

⁄ 1618

1 ⁄ 419 ⁄ 1

615

⁄ 16W

40×7

321

.521

.24

211 ⁄ 4

0.45

57 ⁄ 1

61 ⁄ 4

8.2

9581 ⁄ 4

0.74

03 ⁄ 4

181 ⁄ 4

11 ⁄ 215

⁄ 16W

40×6

820

.021

.13

211 ⁄ 8

0.43

07 ⁄ 1

61 ⁄ 4

8.2

7081 ⁄ 4

0.68

511

⁄ 1618

1 ⁄ 417 ⁄ 1

67 ⁄ 8

W40

×62

18.3

20.9

921

0.40

03 ⁄ 8

3 ⁄ 16

8.2

4081 ⁄ 4

0.61

55 ⁄ 8

181 ⁄ 4

13 ⁄ 87 ⁄ 8

W21

×57

16.7

21.0

621

0.40

53 ⁄ 8

3 ⁄ 16

6.5

5561 ⁄ 2

0.65

05 ⁄ 8

181 ⁄ 4

13 ⁄ 87 ⁄ 8

W40

×50

14.7

20.8

320

7 ⁄ 80.

380

3 ⁄ 83 ⁄ 1

6 6

.530

61 ⁄ 20.

535

9 ⁄ 16

181 ⁄ 4

15 ⁄ 16

7 ⁄ 8W

40×4

413

.020

.66

205 ⁄ 8

0.35

03 ⁄ 8

3 ⁄ 16

6.5

0061 ⁄ 2

0.45

07 ⁄ 1

618

1 ⁄ 413 ⁄ 1

67 ⁄ 8

W18

×311

*91

.522

.32

223 ⁄ 8

1.52

011 ⁄ 2

3 ⁄ 412

.005

122.

740

23 ⁄ 415

1 ⁄ 237 ⁄ 1

613 ⁄ 1

6

W40

×283

*83

.221

.85

217 ⁄ 8

1.40

013 ⁄ 8

11⁄ 16

11.8

9011

7 ⁄ 82.

500

21 ⁄ 215

1 ⁄ 233 ⁄ 1

613 ⁄ 1

6

W40

×258

*75

.921

.46

211 ⁄ 2

1.28

011 ⁄ 4

5 ⁄ 811

.770

113 ⁄ 4

2.30

025 ⁄ 1

615

1 ⁄ 23

11 ⁄ 8W

40×2

34*

68.8

21.0

621

1.16

013 ⁄ 1

65 ⁄ 8

11.6

5011

5 ⁄ 82.

110

21 ⁄ 815

1 ⁄ 223 ⁄ 4

1W

40×2

11*

62.1

20.6

720

5 ⁄ 81.

060

11 ⁄ 16

9 ⁄ 16

11.5

5511

1 ⁄ 21.

910

115⁄ 16

151 ⁄ 2

29 ⁄ 16

1W

40×1

9256

.420

.35

203 ⁄ 8

0.96

01

1 ⁄ 211

.455

111 ⁄ 2

1.75

013 ⁄ 4

151 ⁄ 2

27 ⁄ 16

15⁄ 16

W40

×175

51.3

20.0

420

0.89

07 ⁄ 8

7 ⁄ 16

11.3

7511

3 ⁄ 81.

590

19 ⁄ 16

151 ⁄ 2

21 ⁄ 47 ⁄ 8

W40

×158

46.3

19.7

219

3 ⁄ 40.

810

13⁄ 16

7 ⁄ 16

11.3

0011

1 ⁄ 41.

440

17 ⁄ 16

151 ⁄ 2

21 ⁄ 87 ⁄ 8

W40

×143

42.1

19.4

919

1 ⁄ 20.

730

3 ⁄ 43 ⁄ 8

11.2

2011

1 ⁄ 41.

320

15 ⁄ 16

151 ⁄ 2

213

⁄ 16W

40×1

3038

.219

.25

191 ⁄ 4

0.67

011

⁄ 163 ⁄ 8

11.1

6011

1 ⁄ 81.

200

13 ⁄ 16

151 ⁄ 2

17 ⁄ 813

⁄ 16

W18

×119

35.1

18.9

719

0.65

55 ⁄ 8

5 ⁄ 16

11.2

6511

1 ⁄ 41.

060

11 ⁄ 16

151 ⁄ 2

13 ⁄ 415

⁄ 16W

40×1

0631

.118

.73

183 ⁄ 4

0.59

09 ⁄ 1

65 ⁄ 1

611

.200

111 ⁄ 4

0.94

015

⁄ 1615

1 ⁄ 215 ⁄ 8

15⁄ 16

W40

×97

28.5

18.5

918

5 ⁄ 80.

535

9 ⁄ 16

5 ⁄ 16

11.1

4511

1 ⁄ 80.

870

7 ⁄ 815

1 ⁄ 219 ⁄ 1

67 ⁄ 8

W40

×86

25.3

18.3

918

3 ⁄ 80.

480

1 ⁄ 21 ⁄ 4

11.0

9011

1 ⁄ 80.

770

3 ⁄ 415

1 ⁄ 217 ⁄ 1

67 ⁄ 8

W40

×76

22.3

18.2

118

1 ⁄ 40.

425

7 ⁄ 16

1 ⁄ 411

.035

110.

680

11⁄ 16

151 ⁄ 2

13 ⁄ 813

⁄ 16

W18

×71

20.8

18.4

718

1 ⁄ 20.

495

1 ⁄ 21 ⁄ 4

7.6

3575 ⁄ 8

0.81

013

⁄ 1615

1 ⁄ 211 ⁄ 2

7 ⁄ 8W

40×6

519

.118

.35

183 ⁄ 8

0.45

07 ⁄ 1

61 ⁄ 4

7.5

9075 ⁄ 8

0.75

03 ⁄ 4

151 ⁄ 2

17 ⁄ 16

7 ⁄ 8W

40×6

017

.618

.24

181 ⁄ 4

0.41

57 ⁄ 1

61 ⁄ 4

7.5

5571 ⁄ 2

0.69

511

⁄ 1615

1 ⁄ 213 ⁄ 8

13⁄ 16

W40

×55

16.2

18.1

118

1 ⁄ 80.

390

3 ⁄ 83 ⁄ 1

6 7

.530

71 ⁄ 20.

630

5 ⁄ 815

1 ⁄ 215 ⁄ 1

613

⁄ 16W

40×5

014

.717

.99

180.

355

3 ⁄ 83 ⁄ 1

6 7

.495

71 ⁄ 20.

570

9 ⁄ 16

151 ⁄ 2

11 ⁄ 413

⁄ 16

W18

×46

13.5

18.0

618

0.36

03 ⁄ 8

3 ⁄ 16

6.0

606

0.60

55 ⁄ 8

151 ⁄ 2

11 ⁄ 413

⁄ 16W

40×4

011

.817

.90

177 ⁄ 8

0.31

55 ⁄ 1

63 ⁄ 1

6 6

.015

60.

525

1 ⁄ 215

1 ⁄ 213 ⁄ 1

613

⁄ 16W

40×3

510

.317

.70

173 ⁄ 4

0.30

05 ⁄ 1

63 ⁄ 1

6 6

.000

60.

425

7 ⁄ 16

151 ⁄ 2

11 ⁄ 83 ⁄ 4

*Gro

up 4

or

Gro

up 5

sha

pe. S

ee N

otes

in T

able

1-2

.

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

32D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

W S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Z xZ

yb

f

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

201

3.9

20.6

—42

90

453

5310

461

9.

4754

2

86.

1 3.

0253

0

133

18

24.

222

.6—

3910

64

947

3041

7

9.40

483

7

7.2

3.00

476

11

9

166

4.6

24.9

—35

90

904

4280

380

9.

3643

5

70.

1 2.

9843

2

108

14

75.

426

.1—

3140

159

036

3032

9

9.17

376

6

0.1

2.95

373

9

2.6

132

6.0

28.9

—28

40 2

350

3220

295

9.

1233

3

53.

5 2.

9333

3

82.

3 12

26.

531

.3—

2630

316

029

6027

3

9.09

305

4

9.2

2.92

307

7

5.6

111

7.1

34.1

5524

00 4

510

2670

249

9.

0527

4

44.

5 2.

9027

9

68.

2 10

17.

737

.545

2200

640

024

2022

7

9.02

248

4

0.3

2.89

253

6

1.7

93

4.5

32.3

6126

80 3

460

2070

192

8.

70 9

2.9

22.

1 1.

8422

1

34.

7 8

35.

036

.448

2400

525

018

3017

1

8.67

81.

4 1

9.5

1.83

196

3

0.5

73

5.6

41.2

3821

40 8

380

1600

151

8.

64 7

0.6

17.

0 1.

8117

2

26.

6 6

86.

043

.634

2000

1090

014

8014

0

8.60

64.

7 1

5.7

1.80

160

2

4.4

62

6.7

46.9

2918

2015

900

1330

127

8.

54 5

7.5

13.

9 1.

7714

4

21.

7

57

5.0

46.3

3019

6013

100

1170

111

8.

36 3

0.6

9.

351.

3512

9

14.

8 5

06.

149

.426

1730

2260

0 9

84 9

4.5

8.18

24.

9

7.64

1.30

110

1

2.2

44

7.2

53.6

2215

5036

600

843

81.

68.

06 2

0.7

6.

361.

26 9

5.4

10.

2

311

2.2

10.6

—81

60

38

6960

624

8.

7279

5

132

2.

9575

3

207

28

32.

411

.5—

7520

5

261

6056

4

8.61

704

11

8

2.91

676

18

5

258

2.6

12.5

—69

20

71

5510

514

8.

5362

8

107

2.

8861

1

166

23

42.

813

.8—

6360

9

749

0046

6

8.44

558

9

5.8

2.85

549

14

9

211

3.0

15.1

—58

00

140

4330

419

8.

3549

3

85.

3 2.

8249

0

132

19

23.

316

.7—

5320

19

438

7038

0

8.28

440

7

6.8

2.79

442

11

9

175

3.6

18.0

—48

70

274

3450

344

8.

2039

1

68.

8 2.

7639

8

106

15

83.

919

.8—

4430

39

630

6031

0

8.12

347

6

1.4

2.74

356

9

4.8

143

4.2

21.9

—40

60

557

2750

282

8.

0931

1

55.

5 2.

7232

2

85.

4 13

04.

623

.9—

3710

78

924

6025

6

8.03

278

4

9.9

2.70

291

7

6.7

119

5.3

24.5

—33

40 1

210

2190

231

7.

9025

3

44.

9 2.

6926

1

69.

1 10

66.

027

.2—

2990

188

019

1020

4

7.84

220

3

9.4

2.66

230

6

0.5

97

6.4

30.0

—27

50 2

580

1750

188

7.

8220

1

36.

1 2.

6521

1

55.

3 8

67.

233

.457

2460

406

015

3016

6

7.77

175

3

1.6

2.63

186

4

8.4

76

8.1

37.8

4521

80 6

520

1330

146

7.

7315

2

27.

6 2.

6116

3

42.

2

71

4.7

32.4

6126

80 3

310

1170

127

7.

50 6

0.3

15.

8 1.

7014

5

24.

7 6

55.

135

.750

2470

454

010

7011

7

7.49

54.

8 1

4.4

1.69

133

2

2.5

60

5.4

38.7

4322

90 6

080

984

108

7.

47 5

0.1

13.

3 1.

6912

3

20.

6 5

56.

041

.238

2110

854

0 8

90 9

8.3

7.41

44.

9 1

1.9

1.67

112

1

8.5

50

6.6

45.2

3119

2012

400

800

88.

97.

38 4

0.1

10.

7 1.

6510

1

16.

6

46

5.0

44.6

3220

6010

100

712

78.

87.

25 2

2.5

7.

431.

29 9

0.7

11.

7 4

05.

751

.025

1810

1720

0 6

12 6

8.4

7.21

19.

1

6.35

1.27

78.

4

9.95

35

7.1

53.5

2215

9030

300

510

57.

67.

04 1

5.3

5.

121.

22 6

6.5

8.

06

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

33

Page 5: Structural Shapes

W S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

W16

×100

29.

4 16

.97

170.

585

9 ⁄ 16

5 ⁄ 16

10.4

2510

3 ⁄ 80.

985

113

5 ⁄ 8111

⁄ 1615

⁄ 16W

16×8

9 2

6.2

16.7

516

3 ⁄ 40.

525

1 ⁄ 21 ⁄ 4

10.3

6510

3 ⁄ 80.

875

7 ⁄ 813

5 ⁄ 819 ⁄ 1

67 ⁄ 8

W16

×77

22.

6 16

.52

161 ⁄ 2

0.45

57 ⁄ 1

61 ⁄ 4

10.2

9510

1 ⁄ 40.

760

3 ⁄ 413

5 ⁄ 817 ⁄ 1

67 ⁄ 8

W16

×67

19.

7 16

.33

163 ⁄ 8

0.39

53 ⁄ 8

3 ⁄ 16

10.2

3510

1 ⁄ 40.

665

11⁄ 16

135 ⁄ 8

13 ⁄ 813

⁄ 16

W16

×57

16.

8 16

.43

163 ⁄ 8

0.43

07 ⁄ 1

61 ⁄ 4

7.1

2071 ⁄ 8

0.71

511

⁄ 1613

5 ⁄ 813 ⁄ 8

7 ⁄ 8W

16×5

0 1

4.7

16.2

616

1 ⁄ 40.

380

3 ⁄ 83 ⁄ 1

6 7

.070

71 ⁄ 80.

630

5 ⁄ 813

5 ⁄ 815 ⁄ 1

613

⁄ 16W

16×4

5 1

3.3

16.1

316

1 ⁄ 80.

345

3 ⁄ 83 ⁄ 1

6 7

.035

70.

565

9 ⁄ 16

135 ⁄ 8

11 ⁄ 413

⁄ 16W

16×4

0 1

1.8

16.0

116

0.30

55 ⁄ 1

63 ⁄ 1

6 6

.995

70.

505

1 ⁄ 213

5 ⁄ 813 ⁄ 1

613

⁄ 16W

16×3

6 1

0.6

15.8

615

7 ⁄ 80.

295

5 ⁄ 16

3 ⁄ 16

6.9

857

0.43

07 ⁄ 1

613

5 ⁄ 811 ⁄ 8

3 ⁄ 4

W16

×31

9.

1215

.88

157 ⁄ 8

0.27

51 ⁄ 4

1 ⁄ 8 5

.525

51 ⁄ 20.

440

7 ⁄ 16

135 ⁄ 8

11 ⁄ 83 ⁄ 4

W16

×26

7.

6815

.69

153 ⁄ 4

0.25

01 ⁄ 4

1 ⁄ 8 5

.500

51 ⁄ 20.

345

3 ⁄ 813

5 ⁄ 811 ⁄ 1

63 ⁄ 4

W14

×808

*23

7

22.8

422

7 ⁄ 83.

740

33 ⁄ 417 ⁄ 8

18.5

6018

1 ⁄ 25.

120

51 ⁄ 811

1 ⁄ 4513

⁄ 1621 ⁄ 2

W16

×730

*21

5

22.4

222

3 ⁄ 83.

070

31 ⁄ 16

19 ⁄ 16

17.8

9017

7 ⁄ 84.

910

415⁄ 16

111 ⁄ 4

59 ⁄ 16

23 ⁄ 16

W16

×665

*19

6

21.6

421

5 ⁄ 82.

830

213⁄ 16

17 ⁄ 16

17.6

5017

5 ⁄ 84.

520

41 ⁄ 211

1 ⁄ 453 ⁄ 1

621 ⁄ 1

6

W16

×605

*17

8

20.9

220

7 ⁄ 82.

595

25 ⁄ 815 ⁄ 1

617

.415

173 ⁄ 8

4.16

043 ⁄ 1

611

1 ⁄ 4413

⁄ 16115

⁄ 16W

16×5

50*

162

20

.24

201 ⁄ 4

2.38

023 ⁄ 8

13 ⁄ 16

17.2

0017

1 ⁄ 43.

820

313⁄ 16

111 ⁄ 4

41 ⁄ 2113

⁄ 16W

16×5

00*

147

19

.60

195 ⁄ 8

2.19

023 ⁄ 1

611 ⁄ 8

17.0

1017

3.50

031 ⁄ 2

111 ⁄ 4

43 ⁄ 16

13 ⁄ 4W

16×4

55*

134

19

.02

192.

015

21

16.8

3516

7 ⁄ 83.

210

33 ⁄ 16

111 ⁄ 4

37 ⁄ 815 ⁄ 8

W14

×426

*12

5

18.6

718

5 ⁄ 81.

875

17 ⁄ 815

⁄ 1616

.695

163 ⁄ 4

3.03

531 ⁄ 1

611

1 ⁄ 4311

⁄ 1619 ⁄ 1

6

W16

×398

*11

7

18.2

918

1 ⁄ 41.

770

13 ⁄ 47 ⁄ 8

16.5

9016

5 ⁄ 82.

845

27 ⁄ 811

1 ⁄ 431 ⁄ 2

11 ⁄ 2W

16×3

70*

109

17

.92

177 ⁄ 8

1.65

515 ⁄ 8

13⁄ 16

16.4

7516

1 ⁄ 22.

660

211⁄ 16

111 ⁄ 4

35 ⁄ 16

17 ⁄ 16

W16

×342

*10

1

17.5

417

1 ⁄ 21.

540

19 ⁄ 16

13⁄ 16

16.3

6016

3 ⁄ 82.

470

21 ⁄ 211

1 ⁄ 431 ⁄ 8

13 ⁄ 8W

16×3

11*

91.

4 17

.12

171 ⁄ 8

1.41

017 ⁄ 1

63 ⁄ 4

16.2

3016

1 ⁄ 42.

260

21 ⁄ 411

1 ⁄ 4215

⁄ 1615 ⁄ 1

6

W16

×283

* 8

3.3

16.7

416

3 ⁄ 41.

290

15 ⁄ 16

11⁄ 16

16.1

1016

1 ⁄ 82.

070

21 ⁄ 16

111 ⁄ 4

23 ⁄ 411 ⁄ 4

W16

×257

* 7

5.6

16.3

816

3 ⁄ 81.

175

13 ⁄ 16

5 ⁄ 815

.995

161.

890

17 ⁄ 811

1 ⁄ 429 ⁄ 1

613 ⁄ 1

6

W16

×233

* 6

8.5

16.0

416

1.07

011 ⁄ 1

69 ⁄ 1

615

.890

157 ⁄ 8

1.72

013 ⁄ 4

111 ⁄ 4

23 ⁄ 813 ⁄ 1

6

W16

×211

62.

0 15

.72

153 ⁄ 4

0.98

01

1 ⁄ 215

.800

153 ⁄ 4

1.56

019 ⁄ 1

611

1 ⁄ 421 ⁄ 4

11 ⁄ 8W

16×1

93 5

6.8

15.4

815

1 ⁄ 20.

890

7 ⁄ 87 ⁄ 1

615

.710

153 ⁄ 4

1.44

017 ⁄ 1

611

1 ⁄ 421 ⁄ 8

11 ⁄ 16

W16

×176

51.

8 15

.22

151 ⁄ 4

0.83

013

⁄ 167 ⁄ 1

615

.650

155 ⁄ 8

1.31

015 ⁄ 1

611

1 ⁄ 42

11 ⁄ 16

W16

×159

46.

7 14

.98

150.

745

3 ⁄ 43 ⁄ 8

15.5

6515

5 ⁄ 81.

190

13 ⁄ 16

111 ⁄ 4

17 ⁄ 81

W16

×145

42.

7 14

.78

143 ⁄ 4

0.68

011

⁄ 163 ⁄ 8

15.5

0015

1 ⁄ 21.

090

11 ⁄ 16

111 ⁄ 4

13 ⁄ 41

*Gro

up 4

or

Gro

up 5

sha

pe. S

ee N

otes

in T

able

1-2

.

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

34D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

W S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Zx

Zy

bf

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

100

5.3

24.3

— 3

450

104

0

149

0 1

75

7.10

186

35.

7 2.

51 1

98

54

.9

89

5.9

27.0

— 3

090

163

0

130

0 1

55

7.05

163

31.

4 2.

49 1

75

48

.1

77

6.8

31.2

— 2

680

279

0

111

0 1

34

7.00

138

26.

9 2.

47 1

50

41

.1

67

7.7

35.9

50 2

350

469

0

95

4 1

17

6.96

119

23.

2 2.

46 1

30

35

.5

57

5.0

33.0

59 2

650

340

0

75

8

92.2

6.72

43

.1

12.

1 1.

60 1

05

18

.9

50

5.6

37.4

46 2

340

553

0

65

9

81.0

6.68

37

.2

10.

5 1.

59

92.0

16

.3

45

6.2

41.2

38 2

120

828

0

58

6

72.7

6.65

32

.8

9.

341.

57

82.3

14

.5

40

6.9

46.6

30 1

890

1290

0

51

8

64.7

6.63

28

.9

8.

251.

57

72.9

12

.7

36

8.1

48.1

28 1

700

2080

0

44

8

56.5

6.51

24

.5

7.

001.

52

64.0

10

.8

31

6.3

51.6

24 1

740

2000

0

37

5

47.2

6.41

12

.4

4.

491.

17

54.0

7

.03

26

8.0

56.8

20 1

470

4090

0

30

1

38.4

6.26

9

.59

3.

491.

12

44.2

5

.48

808

1.8

3.4

—18

900

1.45

1600

014

00

8.21

5510

594

4.

8218

34

927

730

1.8

3.7

—17

500

1.90

1430

012

80

8.17

4720

527

4.

6916

60

816

665

2.0

4.0

—16

300

2.50

1240

011

50

7.98

4170

472

4.

6214

80

730

605

2.1

4.4

—15

100

3.20

1080

010

40

7.80

3680

423

4.

5513

20

652

550

2.3

4.8

—14

200

4.20

943

0 9

31

7.63

3250

378

4.

4911

80

583

500

2.4

5.2

—13

100

5.50

821

0 8

38

7.48

2880

339

4.

4310

50

522

455

2.6

5.7

—12

200

7.30

719

0 7

56

7.33

2560

304

4.

38 9

36

468

426

2.8

6.1

—11

500

8.90

660

0 7

07

7.26

2360

283

4.

34 8

69

434

398

2.9

6.4

—10

900

1

1.0

600

0 6

56

7.16

2170

262

4.

31 8

01

402

370

3.1

6.9

—10

300

1

3.9

544

0 6

07

7.07

1990

241

4.

27 7

36

370

342

3.3

7.4

— 9

600

1

7.9

490

0 5

59

6.98

1810

221

4.

24 6

72

338

311

3.6

8.1

— 8

820

2

4.4

433

0 5

06

6.88

1610

199

4.

20 6

03

304

283

3.9

8.8

— 8

120

3

3.4

384

0 4

59

6.79

1440

179

4.

17 5

42

274

257

4.2

9.7

— 7

460

4

6.1

340

0 4

15

6.71

1290

161

4.

13 4

87

246

233

4.6

10.7

— 6

820

6

4.9

301

0 3

75

6.63

1150

145

4.

10 4

36

221

211

5.1

11.6

— 6

230

9

1.8

266

0 3

38

6.55

1030

130

4.

07 3

90

198

193

5.5

12.8

— 5

740

12

5

240

0 3

10

6.50

931

119

4.

05 3

55

180

176

6.0

13.7

— 5

280

17

3

214

0 2

81

6.43

838

107

4.

02 3

20

163

159

6.5

15.3

— 4

790

24

9

190

0 2

54

6.38

748

96.

2 4.

00 2

87

146

145

7.1

16.8

— 4

400

34

8

171

0 2

32

6.33

677

87.

3 3.

98 2

60

133

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

35

Page 6: Structural Shapes

W S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb

f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

W14

×132

38.8

14

.66

145 ⁄ 8

0.64

55 ⁄ 8

5 ⁄ 16

14.7

2514

3 ⁄ 41.

030

111

1 ⁄ 4111

⁄ 1615

⁄ 16W

16×1

2035

.3

14.4

814

1 ⁄ 20.

590

9 ⁄ 16

5 ⁄ 16

14.6

7014

5 ⁄ 80.

940

15⁄ 16

111 ⁄ 4

15 ⁄ 815

⁄ 16W

16×1

0932

.0

14.3

214

3 ⁄ 80.

525

1 ⁄ 21 ⁄ 4

14.6

0514

5 ⁄ 80.

860

7 ⁄ 811

1 ⁄ 419 ⁄ 1

67 ⁄ 8

W16

×99

29.1

14

.16

141 ⁄ 8

0.48

51 ⁄ 2

1 ⁄ 414

.565

145 ⁄ 8

0.78

03 ⁄ 4

111 ⁄ 4

17 ⁄ 16

7 ⁄ 8W

16×9

026

.5

14.0

214

0.44

07 ⁄ 1

61 ⁄ 4

14.5

2014

1 ⁄ 20.

710

11⁄ 16

111 ⁄ 4

13 ⁄ 87 ⁄ 8

W14

×82

24.1

14

.31

141 ⁄ 4

0.51

01 ⁄ 2

1 ⁄ 410

.130

101 ⁄ 8

0.85

57 ⁄ 8

1115 ⁄ 8

1W

16×7

421

.8

14.1

714

1 ⁄ 80.

450

7 ⁄ 16

1 ⁄ 410

.070

101 ⁄ 8

0.78

513

⁄ 1611

19 ⁄ 16

15⁄ 16

W16

×68

20.0

14

.04

140.

415

7 ⁄ 16

1 ⁄ 410

.035

100.

720

3 ⁄ 411

11 ⁄ 215

⁄ 16W

16×6

117

.9

13.8

913

7 ⁄ 80.

375

3 ⁄ 83 ⁄ 1

6 9

.995

100.

645

5 ⁄ 811

17 ⁄ 16

15⁄ 16

W14

×53

15.6

13

.92

137 ⁄ 8

0.37

03 ⁄ 8

3 ⁄ 16

8.0

608

0.66

011

⁄ 1611

17 ⁄ 16

15⁄ 16

W16

×48

14.1

13

.79

133 ⁄ 4

0.34

05 ⁄ 1

63 ⁄ 1

6 8

.030

80.

595

5 ⁄ 811

13 ⁄ 87 ⁄ 8

W16

×43

12.6

13

.66

135 ⁄ 8

0.30

55 ⁄ 1

63 ⁄ 1

6 7

.995

80.

530

1 ⁄ 211

15 ⁄ 16

7 ⁄ 8

W14

×38

11.2

14

.10

141 ⁄ 8

0.31

05 ⁄ 1

63 ⁄ 1

6 6

.770

63 ⁄ 40.

515

1 ⁄ 212

11 ⁄ 16

5 ⁄ 8W

16×3

410

.0

13.9

814

0.28

55 ⁄ 1

63 ⁄ 1

6 6

.745

63 ⁄ 40.

455

7 ⁄ 16

121

5 ⁄ 8W

16×3

0 8

.85

13.8

413

7 ⁄ 80.

270

1 ⁄ 41 ⁄ 8

6.7

3063 ⁄ 4

0.38

53 ⁄ 8

1215

⁄ 165 ⁄ 8

W14

×26

7.6

913

.91

137 ⁄ 8

0.25

51 ⁄ 4

1 ⁄ 8 5

.025

50.

420

7 ⁄ 16

1215

⁄ 169 ⁄ 1

6

W16

×22

6.4

913

.74

133 ⁄ 4

0.23

01 ⁄ 4

1 ⁄ 8 5

.000

50.

335

5 ⁄ 16

127 ⁄ 8

9 ⁄ 16

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

36D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

W S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Z xZ

yb

f

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

132

7.1

17.7

—41

80

428

1530

209

6.

2854

8

74.5

3.

7623

4

113

12

0 7

.819

.3—

3830

60

113

8019

0

6.24

495

67

.5

3.74

212

10

2

109

8.5

21.7

—34

90

853

1240

173

6.

2244

7

61.2

3.

7319

2

92.

7 9

9 9

.323

.5—

3190

122

011

1015

7

6.17

402

55

.2

3.71

173

8

3.6

90

10.2

25.9

—29

00 1

750

999

143

6.

1436

2

49.9

3.

7015

7

75.

6

82

5.9

22.4

—36

00

846

882

123

6.

0514

8

29.3

2.

4813

9

44.

8 7

4 6

.425

.3—

3290

119

0 7

9611

2

6.04

134

26

.6

2.48

126

4

0.6

68

7.0

27.5

—30

20 1

650

723

103

6.

0112

1

24.2

2.

4611

5

36.

9 6

1 7

.730

.4—

2720

246

0 6

40 9

2.2

5.98

107

21

.5

2.45

102

3

2.8

53

6.1

30.8

—28

30 2

250

541

77.

85.

89 5

7.7

14.3

1.

92 8

7.1

22.

0 4

8 6

.733

.557

2580

322

0 4

85 7

0.3

5.85

51.

4 12

.8

1.91

78.

4 1

9.6

43

7.5

37.4

4623

20 4

900

428

62.

75.

82 4

5.2

11.3

1.

89 6

9.6

17.

3

38

6.6

39.6

4121

90 6

850

385

54.

65.

87 2

6.7

7.8

81.

55 6

1.5

12.

1 3

4 7

.443

.135

1970

1060

0 3

40 4

8.6

5.83

23.

3 6

.91

1.53

54.

6 1

0.6

30

8.7

45.4

3117

5017

600

291

42.

05.

73 1

9.6

5.8

21.

49 4

7.3

8.

99

26

6.0

48.1

2818

9013

900

245

35.

35.

65

8.91

3.5

41.

08 4

0.2

5.

54 2

2 7

.553

.322

1610

2730

0 1

99 2

9.0

5.54

7.

00 2

.80

1.04

33.

2

4.39

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

37

Page 7: Structural Shapes

W S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb

f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

W12

×336

*98

.8

16.8

216

7 ⁄ 81.

775

13 ⁄ 47 ⁄ 8

13.3

8513

3 ⁄ 82.

955

215⁄ 16

91 ⁄ 2311

⁄ 1611 ⁄ 2

W16

×305

*89

.6

16.3

216

3 ⁄ 81.

625

15 ⁄ 813

⁄ 1613

.235

131 ⁄ 4

2.70

5211

⁄ 1691 ⁄ 2

37 ⁄ 16

17 ⁄ 16

W16

×279

*81

.9

15.8

515

7 ⁄ 81.

530

11 ⁄ 23 ⁄ 4

13.1

4013

1 ⁄ 82.

470

21 ⁄ 291 ⁄ 2

33 ⁄ 16

13 ⁄ 8W

16×2

52*

74.1

15

.41

153 ⁄ 8

1.39

513 ⁄ 8

11⁄ 16

13.0

0513

2.25

021 ⁄ 4

91 ⁄ 2215

⁄ 1615 ⁄ 1

6

W16

×230

*67

.7

15.0

515

1.28

515 ⁄ 1

611

⁄ 1612

.895

127 ⁄ 8

2.07

021 ⁄ 1

691 ⁄ 2

23 ⁄ 411 ⁄ 4

W16

×210

*61

.8

14.7

114

3 ⁄ 41.

180

13 ⁄ 16

5 ⁄ 812

.790

123 ⁄ 4

1.90

017 ⁄ 8

91 ⁄ 225 ⁄ 8

11 ⁄ 4W

16×1

9055

.8

14.3

814

3 ⁄ 81.

060

11 ⁄ 16

9 ⁄ 16

12.6

7012

5 ⁄ 81.

735

13 ⁄ 491 ⁄ 2

27 ⁄ 16

13 ⁄ 16

W16

×170

50.0

14

.03

140.

960

15⁄ 16

1 ⁄ 212

.570

125 ⁄ 8

1.56

019 ⁄ 1

691 ⁄ 2

21 ⁄ 411 ⁄ 8

W16

×152

44.7

13

.71

133 ⁄ 4

0.87

07 ⁄ 8

7 ⁄ 16

12.4

8012

1 ⁄ 21.

400

13 ⁄ 891 ⁄ 2

21 ⁄ 811 ⁄ 1

6

W16

×136

39.9

13

.41

133 ⁄ 8

0.79

013

⁄ 167 ⁄ 1

612

.400

123 ⁄ 8

1.25

011 ⁄ 4

91 ⁄ 2115

⁄ 161

W16

×120

35.3

13

.12

131 ⁄ 8

0.71

011

⁄ 163 ⁄ 8

12.3

2012

3 ⁄ 81.

105

11 ⁄ 891 ⁄ 2

113⁄ 16

1W

16×1

0631

.2

12.8

912

7 ⁄ 80.

610

5 ⁄ 85 ⁄ 1

612

.220

121 ⁄ 4

0.99

01

91 ⁄ 2111

⁄ 1615

⁄ 16W

16×9

628

.2

12.7

112

3 ⁄ 40.

550

9 ⁄ 16

5 ⁄ 16

12.1

6012

1 ⁄ 80.

900

7 ⁄ 891 ⁄ 2

15 ⁄ 87 ⁄ 8

W16

×87

25.6

12

.53

121 ⁄ 2

0.51

51 ⁄ 2

1 ⁄ 412

.125

121 ⁄ 8

0.81

013

⁄ 1691 ⁄ 2

11 ⁄ 27 ⁄ 8

W16

×79

23.2

12

.38

123 ⁄ 8

0.47

01 ⁄ 2

1 ⁄ 412

.080

121 ⁄ 8

0.73

53 ⁄ 4

91 ⁄ 217 ⁄ 1

67 ⁄ 8

W16

×72

21.1

12

.25

121 ⁄ 4

0.43

07 ⁄ 1

61 ⁄ 4

12.0

4012

0.67

011

⁄ 1691 ⁄ 2

13 ⁄ 87 ⁄ 8

W16

×65

19.1

12

.12

121 ⁄ 8

0.39

03 ⁄ 8

3 ⁄ 16

12.0

0012

0.60

55 ⁄ 8

91 ⁄ 215 ⁄ 1

613

⁄ 16

W12

×58

17.0

12

.19

121 ⁄ 4

0.36

03 ⁄ 8

3 ⁄ 16

10.0

1010

0.64

05 ⁄ 8

91 ⁄ 213 ⁄ 8

13⁄ 16

W16

×53

15.6

12

.06

120.

345

3 ⁄ 83 ⁄ 1

6 9

.995

100.

575

9 ⁄ 16

91 ⁄ 211 ⁄ 4

13⁄ 16

W12

×50

14.7

12

.19

121 ⁄ 4

0.37

03 ⁄ 8

3 ⁄ 16

8.0

8081 ⁄ 8

0.64

05 ⁄ 8

91 ⁄ 213 ⁄ 8

13⁄ 16

W16

×45

13.2

12

.06

120.

335

5 ⁄ 16

3 ⁄ 16

8.0

458

0.57

59 ⁄ 1

691 ⁄ 2

11 ⁄ 413

⁄ 16W

16×4

011

.8

11.9

412

0.29

55 ⁄ 1

63 ⁄ 1

6 8

.005

80.

515

1 ⁄ 291 ⁄ 2

11 ⁄ 43 ⁄ 4

W12

×35

10.3

12

.50

121 ⁄ 2

0.30

05 ⁄ 1

63 ⁄ 1

6 6

.560

61 ⁄ 20.

520

1 ⁄ 210

1 ⁄ 21

9 ⁄ 16

W16

×30

8.7

912

.34

123 ⁄ 8

0.26

01 ⁄ 4

1 ⁄ 8 6

.520

61 ⁄ 20.

440

7 ⁄ 16

101 ⁄ 2

15⁄ 16

1 ⁄ 2W

16×2

6 7

.65

12.2

212

1 ⁄ 40.

230

1 ⁄ 41 ⁄ 8

6.4

9061 ⁄ 2

0.38

03 ⁄ 8

101 ⁄ 2

7 ⁄ 81 ⁄ 2

W12

×22

6.4

812

.31

121 ⁄ 4

0.26

01 ⁄ 4

1 ⁄ 8 4

.030

40.

425

7 ⁄ 16

101 ⁄ 2

7 ⁄ 81 ⁄ 2

W16

×19

5.5

712

.16

121 ⁄ 8

0.23

51 ⁄ 4

1 ⁄ 8 4

.005

40.

350

3 ⁄ 810

1 ⁄ 213

⁄ 161 ⁄ 2

W16

×16

4.7

111

.99

120.

220

1 ⁄ 41 ⁄ 8

3.9

904

0.26

51 ⁄ 4

101 ⁄ 2

3 ⁄ 41 ⁄ 2

W16

×14

4.1

611

.91

117 ⁄ 8

0.20

03 ⁄ 1

61 ⁄ 8

3.9

704

0.22

51 ⁄ 4

101 ⁄ 2

11⁄ 16

1 ⁄ 2

*Gro

up 4

or

Gro

up 5

sha

pe. S

ee N

otes

in T

able

1-2

.

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

38D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

W S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Zx

Z yb

f

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

336

2.3

5.5

—12

800

6.05

4060

48

3

6.41

1190

177

3.

47

603

27

4

305

2.4

6.0

—11

800

8.17

3550

43

5

6.29

1050

159

3.

42

537

24

4

279

2.7

6.3

—11

000

1

0.8

3110

39

3

6.16

937

143

3.

38

481

22

0

252

2.9

7.0

—10

100

1

4.7

2720

35

3

6.06

828

127

3.

34

428

19

6

230

3.1

7.6

— 9

390

1

9.7

2420

32

1

5.97

742

115

3.

31

386

17

7

210

3.4

8.2

— 8

670

2

6.6

2140

29

2

5.89

664

104

3.

28

348

15

9

190

3.7

9.2

— 7

940

3

7.0

1890

26

3

5.82

589

93.

0 3.

25

311

14

3

170

4.0

10.1

— 7

190

5

4.0

1650

23

5

5.74

517

82.

3 3.

22

275

12

6

152

4.5

11.2

— 6

510

7

9.3

1430

20

9

5.66

454

72.

8 3.

19

243

11

1

136

5.0

12.3

— 5

850

11

9

1240

18

6

5.58

398

64.

2 3.

16

214

9

8.0

120

5.6

13.7

— 5

240

18

4

1070

16

3

5.51

345

56.

0 3.

13

186

8

5.4

106

6.2

15.9

— 4

660

28

5

933

14

5

5.47

301

49.

3 3.

11

164

7

5.1

96

6.8

17.7

— 4

250

40

5

833

13

1

5.44

270

44.

4 3.

09

147

6

7.5

87

7.5

18.9

— 3

880

58

6

740

11

8

5.38

241

39.

7 3.

07

132

6

0.4

79

8.2

20.7

— 3

530

83

9

662

10

7

5.34

216

35.

8 3.

05

119

5

4.3

72

9.0

22.6

— 3

230

118

0

597

9

7.4

5.31

195

32.

4 3.

04

108

4

9.2

65

9.9

24.9

— 2

940

172

0

533

8

7.9

5.28

174

29.

1 3.

02

96.

8 4

4.1

58

7.8

27.0

— 3

070

147

0

475

7

8.0

5.28

107

21.

4 2.

51

86.

4 3

2.5

53

8.7

28.1

— 2

820

210

0

425

7

0.6

5.23

95

.8

19.

2 2.

48

77.

9 2

9.1

50

6.3

26.2

— 3

170

141

0

394

6

4.7

5.18

56

.3

13.

9 1.

96

72.

4 2

1.4

45

7.0

29.0

— 2

870

207

0

350

5

8.1

5.15

50

.0

12.

4 1.

94

64.

7 1

9.0

40

7.8

32.9

59 2

580

311

0

310

5

1.9

5.13

44

.1

11.

0 1.

93

57.

5 1

6.8

35

6.3

36.2

49 2

420

434

0

285

4

5.6

5.25

24

.5

7.

471.

54

51.

2 1

1.5

30

7.4

41.8

37 2

090

795

0

238

3

8.6

5.21

20

.3

6.

241.

52

43.

1

9.56

26

8.5

47.2

29 1

820

1390

0

204

3

3.4

5.17

17

.3

5.

341.

51

37.

2

8.17

22

4.7

41.8

37 2

160

864

0

156

2

5.4

4.91

4

.66

2.

310.

847

29.

3

3.66

19

5.7

46.2

30 1

880

1560

0

130

2

1.3

4.82

3

.76

1.

880.

822

24.

7

2.98

16

7.5

49.4

26 1

610

3200

0

103

1

7.1

4.67

2

.82

1.

410.

773

20.

1

2.26

14

8.8

54.3

22 1

450

4930

0

88

.6 1

4.9

4.62

2

.36

1.

190.

753

17.

4

1.90

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

39

Page 8: Structural Shapes

W S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb

f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

W10

×112

32.9

11

.36

113 ⁄ 8

0.75

53 ⁄ 4

3 ⁄ 810

.415

103 ⁄ 8

1.25

011 ⁄ 4

75 ⁄ 817 ⁄ 8

15⁄ 16

W10

×100

29.4

11

.10

111 ⁄ 8

0.68

011

⁄ 163 ⁄ 8

10.3

4010

3 ⁄ 81.

120

11 ⁄ 875 ⁄ 8

13 ⁄ 47 ⁄ 8

W10

×88

25.9

10

.84

107 ⁄ 8

0.60

55 ⁄ 8

5 ⁄ 16

10.2

6510

1 ⁄ 40.

990

175 ⁄ 8

15 ⁄ 813

⁄ 16W

10×7

722

.6

10.6

010

5 ⁄ 80.

530

1 ⁄ 21 ⁄ 4

10.1

9010

1 ⁄ 40.

870

7 ⁄ 875 ⁄ 8

11 ⁄ 213

⁄ 16W

10×6

820

.0

10.4

010

3 ⁄ 80.

470

1 ⁄ 21 ⁄ 4

10.1

3010

1 ⁄ 80.

770

3 ⁄ 475 ⁄ 8

13 ⁄ 83 ⁄ 4

W10

×60

17.6

10

.22

101 ⁄ 4

0.42

07 ⁄ 1

61 ⁄ 4

10.0

8010

1 ⁄ 80.

680

11⁄ 16

75 ⁄ 815 ⁄ 1

63 ⁄ 4

W10

×54

15.8

10

.09

101 ⁄ 8

0.37

03 ⁄ 8

3 ⁄ 16

10.0

3010

0.61

55 ⁄ 8

75 ⁄ 811 ⁄ 4

11⁄ 16

W10

×49

14.4

9

.98

100.

340

5 ⁄ 16

3 ⁄ 16

10.0

0010

0.56

09 ⁄ 1

675 ⁄ 8

13 ⁄ 16

11⁄ 16

W10

×45

13.3

10

.10

101 ⁄ 8

0.35

03 ⁄ 8

3 ⁄ 16

8.0

208

0.62

05 ⁄ 8

75 ⁄ 811 ⁄ 4

11⁄ 16

W10

×39

11.5

9

.92

97 ⁄ 80.

315

5 ⁄ 16

3 ⁄ 16

7.9

858

0.53

01 ⁄ 2

75 ⁄ 811 ⁄ 8

11⁄ 16

W10

×33

9.7

1 9

.73

93 ⁄ 40.

290

5 ⁄ 16

3 ⁄ 16

7.9

608

0.43

57 ⁄ 1

675 ⁄ 8

11 ⁄ 16

11⁄ 16

W10

×30

8.8

410

.47

101 ⁄ 2

0.30

05 ⁄ 1

63 ⁄ 1

6 5

.810

53 ⁄ 40.

510

1 ⁄ 285 ⁄ 8

15⁄ 16

1 ⁄ 2W

10×2

6 7

.61

10.3

310

3 ⁄ 80.

260

1 ⁄ 41 ⁄ 8

5.7

7053 ⁄ 4

0.44

07 ⁄ 1

685 ⁄ 8

7 ⁄ 81 ⁄ 2

W10

×22

6.4

910

.17

101 ⁄ 8

0.24

01 ⁄ 4

1 ⁄ 8 5

.750

53 ⁄ 40.

360

3 ⁄ 885 ⁄ 8

3 ⁄ 41 ⁄ 2

W10

×19

5.6

210

.24

101 ⁄ 4

0.25

01 ⁄ 4

1 ⁄ 8 4

.020

40.

395

3 ⁄ 885 ⁄ 8

13⁄ 16

1 ⁄ 2W

10×1

7 4

.99

10.1

110

1 ⁄ 80.

240

1 ⁄ 41 ⁄ 8

4.0

104

0.33

05 ⁄ 1

685 ⁄ 8

3 ⁄ 41 ⁄ 2

W10

×15

4.4

1 9

.99

100.

230

1 ⁄ 41 ⁄ 8

4.0

004

0.27

01 ⁄ 4

85 ⁄ 811

⁄ 167 ⁄ 1

6

W10

×12

3.5

4 9

.87

97 ⁄ 80.

190

3 ⁄ 16

1 ⁄ 8 3

.960

40.

210

3 ⁄ 16

85 ⁄ 85 ⁄ 8

7 ⁄ 16

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

40D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

W S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Z xZ

yb

f

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

112

4.2

10.4

—70

80

56.

771

6

126

4.

6623

6

45.3

2.

68

147

69

.2

100

4.6

11.6

—64

00

83.

862

3

112

4.

6020

7

40.0

2.

65

130

61

.0

88

5.2

13.0

—56

80

132

53

4

98.

54.

5417

9

34.8

2.

63

113

53

.1

77

5.9

14.8

—50

10

213

45

5

85.

94.

4915

4

30.1

2.

60

97.

645

.9

68

6.6

16.7

—44

60

334

39

4

75.

74.

4413

4

26.4

2.

59

85.

340

.1

60

7.4

18.7

—39

70

525

34

1

66.

74.

3911

6

23.0

2.

57

74.

635

.0

54

8.2

21.2

—35

80

778

30

3

60.

04.

3710

3

20.6

2.

56

66.

631

.3

49

8.9

23.1

—32

80 1

090

27

2

54.

64.

35 9

3.4

18.7

2.

54

60.

428

.3

45

6.5

22.5

—36

50

758

24

8

49.

14.

32 5

3.4

13.3

2.

01

54.

920

.3

39

7.5

25.0

—31

90 1

300

20

9

42.

14.

27 4

5.0

11.3

1.

98

46.

817

.2

33

9.1

27.1

—27

10 2

510

17

0

35.

04.

19 3

6.6

9.2

01.

94

38.

814

.0

30

5.7

29.5

—28

90 2

160

17

0

32.

44.

38 1

6.7

5.7

51.

37

36.

6 8

.84

26

6.6

34.0

5525

00 3

790

14

4

27.

94.

35 1

4.1

4.8

91.

36

31.

3 7

.50

22

8.0

36.9

4721

50 7

170

11

8

23.

24.

27 1

1.4

3.9

71.

33

26.

0 6

.10

19

5.1

35.4

5124

20 5

160

9

6.3

18.

84.

14

4.29

2.1

40.

874

21.

6 3

.35

17

6.1

36.9

4722

10 7

820

8

1.9

16.

24.

05

3.56

1.7

80.

844

18.

7 2

.80

15

7.4

38.5

4319

3014

300

6

8.9

13.

83.

95

2.89

1.4

50.

810

16.

0 2

.30

12

9.4

46.6

3015

5035

400

5

3.8

10.

93.

90

2.18

1.1

00.

785

12.

6 1

.74

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

41

Page 9: Structural Shapes

W S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb

f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

W8×

6719

.7

9.00

90.

570

9 ⁄ 16

5 ⁄ 16

8.28

081 ⁄ 4

0.93

515

⁄ 1661 ⁄ 8

17 ⁄ 16

11⁄ 16

W8×

5817

.1

8.75

83 ⁄ 40.

510

1 ⁄ 21 ⁄ 4

8.22

081 ⁄ 4

0.81

013

⁄ 1661 ⁄ 8

15 ⁄ 16

11⁄ 16

W8×

4814

.1

8.50

81 ⁄ 20.

400

3 ⁄ 83 ⁄ 1

68.

110

81 ⁄ 80.

685

11⁄ 16

61 ⁄ 813 ⁄ 1

65 ⁄ 8

W8×

4011

.7

8.25

81 ⁄ 40.

360

3 ⁄ 83 ⁄ 1

68.

070

81 ⁄ 80.

560

9 ⁄ 16

61 ⁄ 811 ⁄ 1

65 ⁄ 8

W8×

3510

.3

8.12

81 ⁄ 80.

310

5 ⁄ 16

3 ⁄ 16

8.02

08

0.49

51 ⁄ 2

61 ⁄ 81

9 ⁄ 16

W8×

31 9

.13

8.00

80.

285

5 ⁄ 16

3 ⁄ 16

7.99

58

0.43

57 ⁄ 1

661 ⁄ 8

15⁄ 16

9 ⁄ 16

W8×

28 8

.25

8.06

80.

285

5 ⁄ 16

3 ⁄ 16

6.53

561 ⁄ 2

0.46

57 ⁄ 1

661 ⁄ 8

15⁄ 16

9 ⁄ 16

W8×

24 7

.08

7.93

77 ⁄ 80.

245

1 ⁄ 41 ⁄ 8

6.49

561 ⁄ 2

0.40

03 ⁄ 8

61 ⁄ 87 ⁄ 8

9 ⁄ 16

W8×

21 6

.16

8.28

81 ⁄ 40.

250

1 ⁄ 41 ⁄ 8

5.27

051 ⁄ 4

0.40

03 ⁄ 8

65 ⁄ 813

⁄ 161 ⁄ 2

W8×

18 5

.26

8.14

81 ⁄ 80.

230

1 ⁄ 41 ⁄ 8

5.25

051 ⁄ 4

0.33

05 ⁄ 1

665 ⁄ 8

3 ⁄ 47 ⁄ 1

6

W8×

15 4

.44

8.11

81 ⁄ 80.

245

1 ⁄ 41 ⁄ 8

4.01

54

0.31

55 ⁄ 1

665 ⁄ 8

3 ⁄ 41 ⁄ 2

W8×

13 3

.84

7.99

80.

230

1 ⁄ 41 ⁄ 8

4.00

04

0.25

51 ⁄ 4

65 ⁄ 811

⁄ 167 ⁄ 1

6

W8×

10 2

.96

7.89

77 ⁄ 80.

170

3 ⁄ 16

1 ⁄ 83.

940

40.

205

3 ⁄ 16

65 ⁄ 85 ⁄ 8

7 ⁄ 16

W6×

25 7

.34

6.38

63 ⁄ 80.

320

5 ⁄ 16

3 ⁄ 16

6.08

061 ⁄ 8

0.45

57 ⁄ 1

643 ⁄ 4

13⁄ 16

7 ⁄ 16

W8×

20 5

.87

6.20

61 ⁄ 40.

260

1 ⁄ 41 ⁄ 8

6.02

06

0.36

53 ⁄ 8

43 ⁄ 43 ⁄ 4

7 ⁄ 16

W8×

15 4

.43

5.99

60.

230

1 ⁄ 41 ⁄ 8

5.99

06

0.26

01 ⁄ 4

43 ⁄ 45 ⁄ 8

3 ⁄ 8

W6×

16 4

.74

6.28

61 ⁄ 40.

260

1 ⁄ 41 ⁄ 8

4.03

04

0.40

53 ⁄ 8

43 ⁄ 43 ⁄ 4

7 ⁄ 16

W8×

12 3

.55

6.03

60.

230

1 ⁄ 41 ⁄ 8

4.00

04

0.28

01 ⁄ 4

43 ⁄ 45 ⁄ 8

3 ⁄ 8W

8×9

2.6

85.

9057 ⁄ 8

0.17

03 ⁄ 1

61 ⁄ 8

3.94

04

0.21

53 ⁄ 1

643 ⁄ 4

9 ⁄ 16

3 ⁄ 8

W5×

19 5

.54

5.15

51 ⁄ 80.

270

1 ⁄ 41 ⁄ 8

5.03

05

0.43

07 ⁄ 1

631 ⁄ 2

13⁄ 16

7 ⁄ 16

W8×

16 4

.68

5.01

50.

240

1 ⁄ 41 ⁄ 8

5.00

05

0.36

03 ⁄ 8

31 ⁄ 23 ⁄ 4

7 ⁄ 16

W4×

13 3

.83

4.16

41 ⁄ 80.

280

1 ⁄ 41 ⁄ 8

4.06

04

0.34

53 ⁄ 8

23 ⁄ 411

⁄ 167 ⁄ 1

6

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

42D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

W S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Z xZ

yb

f

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

674.

411

.1—

6620

7

3.9

272

60

.4

3.72

88.6

21

.4

2.12

70

.2

32.7

58

5.1

12.4

—58

20

122

22

8

52.0

3.

6575

.1

18.3

2.

10

59.8

27

.9

485.

915

.8—

4860

23

8

184

43

.3

3.61

60.9

15

.0

2.08

49

.0

22.9

40

7.2

17.6

—40

80

474

14

6

35.5

3.

5349

.1

12.2

2.

04

39.8

18

.5

358.

120

.4—

3610

76

1

127

31

.2

3.51

42.6

10

.6

2.03

34

.7

16.1

31

9.2

22.2

—32

30 1

180

11

0

27.5

3.

4737

.1

9.2

72.

02

30.4

14

.1

287.

022

.2—

3480

93

1

98.

024

.3

3.45

21.7

6

.63

1.62

27

.2

10.1

24

8.1

25.8

—30

20 1

610

8

2.8

20.9

3.

4218

.3

5.6

31.

61

23.2

8

.57

216.

627

.5—

2890

209

0

75.

318

.2

3.49

9.7

7 3

.71

1.26

20

.4

5.6

918

8.0

29.9

—24

90 3

890

6

1.9

15.2

3.

43 7

.97

3.0

41.

23

17.0

4

.66

156.

428

.1—

2670

344

0

48.

011

.8

3.29

3.4

1 1

.70

0.87

613

.6

2.6

713

7.8

29.9

—23

70 5

780

3

9.6

9.9

13.

21 2

.73

1.3

70.

843

11.4

2

.15

109.

640

.539

1760

1790

0

30.

8 7

.81

3.22

2.0

9 1

.06

0.84

1 8

.87

1.6

6

256.

715

.5—

4410

36

9

53.

416

.7

2.70

17.1

5

.61

1.52

18

.9

8.5

620

8.2

19.1

—35

50

846

4

1.4

13.4

2.

6613

.3

4.4

11.

50

14.9

6

.72

1511

.521

.6—

2740

247

0

29.

1 9

.72

2.56

9.3

2 3

.11

1.46

10

.8

4.7

5

165.

019

.1—

4010

59

1

32.

110

.2

2.60

4.4

3 2

.20

0.96

611

.7

3.3

912

7.1

21.6

—31

00 1

740

2

2.1

7.3

12.

49 2

.99

1.5

00.

918

8.3

0 2

.32

99.

229

.2—

2360

498

0

16.

4 5

.56

2.47

2.1

9 1

.11

0.90

5 6

.23

1.7

2

195.

814

.0—

5140

19

2

26.

210

.2

2.17

9.1

3 3

.63

1.28

11

.6

5.5

316

6.9

15.8

—44

40

346

2

1.3

8.5

12.

13 7

.51

3.0

01.

27

9.5

9 4

.57

135.

910

.6—

5560

15

4

11.

3 5

.46

1.72

3.8

6 1

.90

1.00

6

.28

2.9

2

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

43

Page 10: Structural Shapes

M S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

M12

×11.

83.

4811

.91

1115

⁄ 160.

177

3 ⁄ 16

1 ⁄ 16

3.06

531 ⁄ 1

60.

225

1 ⁄ 410

15⁄ 16

1 ⁄ 23 ⁄ 8

M12

×10.

83.

2011

.87

117 ⁄ 8

0.16

23 ⁄ 1

61 ⁄ 1

63.

065

31 ⁄ 16

0.20

63 ⁄ 1

610

7 ⁄ 81 ⁄ 2

3 ⁄ 8

M10

×92.

67 9

.86

97 ⁄ 80.

157

3 ⁄ 16

1 ⁄ 16

2.69

0211

⁄ 160.

206

3 ⁄ 16

87 ⁄ 81 ⁄ 2

3 ⁄ 8M

12×8

2.38

9.8

1913

⁄ 160.

139

1 ⁄ 81 ⁄ 1

62.

690

211⁄ 16

0.18

33 ⁄ 1

6813

⁄ 161 ⁄ 2

3 ⁄ 8

M8×

6.5

1.92

7.8

577 ⁄ 8

0.13

31 ⁄ 8

1 ⁄ 16

2.28

021 ⁄ 4

0.18

63 ⁄ 1

667 ⁄ 8

1 ⁄ 23 ⁄ 8

M5×

18.9

*5.

55 5

.00

50.

316

5 ⁄ 16

3 ⁄ 16

5.00

35

0.41

67 ⁄ 1

631 ⁄ 4

7 ⁄ 81 ⁄ 2

*Thi

s sh

ape

has

tape

red

flang

es w

hile

all

othe

r M

sha

pes

have

par

alle

l fla

nges

.

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

44D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

M S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Z xZ

yb

f

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

11.8

6.8

61.4

1714

2056

700

71.7

12.1

4.

541.

09

0.70

90.

559

14.3

1.

16

10.8

7.4

67.0

1413

2075

800

65.8

11.1

4.

540.

995

0.64

90.

558

13.1

1.

05

9

6.5

56.4

2015

7037

100

38.5

7.8

23.

800.

673

0.50

10.

502

9.2

10.

815

8

7.3

63.7

1614

0057

800

34.3

6.9

93.

800.

597

0.44

40.

502

8.2

00.

718

6.5

6.1

51.7

2417

8020

700

18.1

4.6

23.

070.

371

0.32

50.

439

5.4

00.

527

18.9

6.0

11.2

—57

10

134

24.1

9.6

32.

087.

86

3.14

1.

19

11.0

5.

02

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

45

Page 11: Structural Shapes

S S

HA

PE

SD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Gri

p

Max

.F

lge.

Fas

-te

ner

Th

ickn

ess

t w

t w 2W

idth

bf

Th

ickn

ess

t fT

k

in.2

in.

in.

in.

in.

in.

in.

in.

in.

in.

S24

×121

35.6

24

.50

241 ⁄ 2

0.80

013

⁄ 167 ⁄ 1

68.

050

81.

090

11 ⁄ 16

201 ⁄ 2

211 ⁄ 8

1S

24×1

0631

.2

24.5

024

1 ⁄ 20.

620

5 ⁄ 85 ⁄ 1

67.

870

77 ⁄ 81.

090

11 ⁄ 16

201 ⁄ 2

211 ⁄ 8

1

S24

×100

29.3

24

.00

240.

745

3 ⁄ 43 ⁄ 8

7.24

571 ⁄ 4

0.87

07 ⁄ 8

201 ⁄ 2

13 ⁄ 47 ⁄ 8

1S

24×9

026

.5

24.0

024

0.62

55 ⁄ 8

5 ⁄ 16

7.12

571 ⁄ 8

0.87

07 ⁄ 8

201 ⁄ 2

13 ⁄ 47 ⁄ 8

1S

24×8

023

.5

24.0

024

0.50

01 ⁄ 2

1 ⁄ 47.

000

70.

870

7 ⁄ 820

1 ⁄ 213 ⁄ 4

7 ⁄ 81

S20

×96

28.2

20

.30

201 ⁄ 4

0.80

013

⁄ 167 ⁄ 1

67.

200

71 ⁄ 40.

920

15⁄ 16

163 ⁄ 4

13 ⁄ 415

⁄ 161

S24

×86

25.3

20

.30

201 ⁄ 4

0.66

011

⁄ 163 ⁄ 8

7.06

07

0.92

015

⁄ 1616

3 ⁄ 413 ⁄ 4

15⁄ 16

1

S20

×75

22.0

20

.00

200.

635

5 ⁄ 85 ⁄ 1

66.

385

63 ⁄ 80.

795

13⁄ 16

163 ⁄ 4

15 ⁄ 813

⁄ 167 ⁄ 8

S24

×66

19.4

20

.00

200.

505

1 ⁄ 21 ⁄ 4

6.25

561 ⁄ 4

0.79

513

⁄ 1616

3 ⁄ 415 ⁄ 8

13⁄ 16

7 ⁄ 8

S18

×70

20.6

18

.00

180.

711

11⁄ 16

3 ⁄ 86.

251

61 ⁄ 40.

691

11⁄ 16

1511 ⁄ 2

11⁄ 16

7 ⁄ 8S

24×5

4.7

16.1

18

.00

180.

461

7 ⁄ 16

1 ⁄ 46.

001

60.

691

11⁄ 16

1511 ⁄ 2

11⁄ 16

7 ⁄ 8

S15

×50

14.7

15

.00

150.

550

9 ⁄ 16

5 ⁄ 16

5.64

055 ⁄ 8

0.62

25 ⁄ 8

121 ⁄ 4

13 ⁄ 89 ⁄ 1

63 ⁄ 4

S24

×42.

912

.6

15.0

015

0.41

17 ⁄ 1

61 ⁄ 4

5.50

151 ⁄ 2

0.62

25 ⁄ 8

121 ⁄ 4

13 ⁄ 89 ⁄ 1

63 ⁄ 4

S12

×50

14.7

12

.00

120.

687

11⁄ 16

3 ⁄ 85.

477

51 ⁄ 20.

659

11⁄ 16

91 ⁄ 817 ⁄ 1

611

⁄ 163 ⁄ 4

S24

×40.

812

.0

12.0

012

0.46

27 ⁄ 1

61 ⁄ 4

5.25

251 ⁄ 4

0.65

911

⁄ 1691 ⁄ 8

17 ⁄ 16

5 ⁄ 83 ⁄ 4

S12

×35

10.3

12

.00

120.

428

7 ⁄ 16

1 ⁄ 45.

078

51 ⁄ 80.

544

9 ⁄ 16

95 ⁄ 813 ⁄ 1

61 ⁄ 2

3 ⁄ 4S

24×3

1.8

9.3

512

.00

120.

350

3 ⁄ 83 ⁄ 1

65.

000

50.

544

9 ⁄ 16

95 ⁄ 813 ⁄ 1

61 ⁄ 2

3 ⁄ 4

S10

×35

10.3

10

.00

100.

594

5 ⁄ 85 ⁄ 1

64.

944

50.

491

1 ⁄ 273 ⁄ 4

11 ⁄ 81 ⁄ 2

3 ⁄ 4S

24×2

5.4

7.4

610

.00

100.

311

5 ⁄ 16

3 ⁄ 16

4.66

145 ⁄ 8

0.49

11 ⁄ 2

73 ⁄ 411 ⁄ 8

1 ⁄ 23 ⁄ 4

S8×

23 6

.77

8.0

0 8

0.44

17 ⁄ 1

61 ⁄ 4

4.17

141 ⁄ 8

0.42

67 ⁄ 1

66

17 ⁄ 1

63 ⁄ 4

S8×

18.4

5.4

1 8

.00

80.

271

1 ⁄ 41 ⁄ 8

4.00

14

0.42

67 ⁄ 1

66

17 ⁄ 1

63 ⁄ 4

S6×

17.2

5 5

.07

6.0

0 6

0.46

57 ⁄ 1

61 ⁄ 4

3.56

535 ⁄ 8

0.35

93 ⁄ 8

41 ⁄ 47 ⁄ 8

3 ⁄ 85 ⁄ 8

S8×

12.5

3.6

7 6

.00

60.

232

1 ⁄ 41 ⁄ 8

3.33

233 ⁄ 8

0.35

93 ⁄ 8

41 ⁄ 47 ⁄ 8

3 ⁄ 8—

S5×

10 2

.94

5.0

0 5

0.21

43 ⁄ 1

61 ⁄ 8

3.00

43

0.32

65 ⁄ 1

633 ⁄ 8

13⁄ 16

5 ⁄ 16

S4×

9.5

2.7

9 4

.00

40.

326

5 ⁄ 16

3 ⁄ 16

2.79

623 ⁄ 4

0.29

35 ⁄ 1

621 ⁄ 2

3 ⁄ 45 ⁄ 1

6—

S8×

7.7

2.2

6 4

.00

40.

193

3 ⁄ 16

1 ⁄ 82.

663

25 ⁄ 80.

293

5 ⁄ 16

21 ⁄ 23 ⁄ 4

5 ⁄ 16

S3×

7.5

2.2

1 3

.00

30.

349

3 ⁄ 83 ⁄ 1

62.

509

21 ⁄ 20.

260

1 ⁄ 415 ⁄ 8

11⁄ 16

1 ⁄ 4—

S8×

5.7

1.6

7 3

.00

30.

170

3 ⁄ 16

1 ⁄ 82.

330

23 ⁄ 80.

260

1 ⁄ 415 ⁄ 8

11⁄ 16

1 ⁄ 4—

XX

YY

d

t

t

k kT

b

f

f

w

grip

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

46D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

S S

HA

PE

SP

rope

rtie

s

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Zx

Zy

bf

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

121

3.

736

.4—

3310

1770

31

60

25

8

9.43

83.3

20

.7

1.53

30

6

36.2

10

6

3.6

34.1

5529

6024

70

2940

240

9.

7177

.1

19.6

1.

57

279

33

.2

100

4.

228

.3—

3000

2940

23

90

19

9

9.02

47.7

13

.2

1.27

24

0

23.9

9

0

4.1

33.7

5627

1040

90

2250

187

9.

2144

.9

12.6

1.

30

222

22

.3

80

4.

042

.136

2450

5480

21

00

17

5

9.47

42.2

12

.1

1.34

20

4

20.7

96

3.

921

.6—

3730

1160

16

70

16

5

7.71

50.2

13

.9

1.33

19

8

24.9

8

6

3.8

26.2

—33

5016

30

1580

155

7.

8946

.8

13.3

1.

36

183

23

.0

75

4.

027

.1—

3140

2290

12

80

12

8

7.62

29.8

9.

321.

16

153

16

.7

66

3.

934

.155

2800

3250

11

90

11

9

7.83

27.7

8.

851.

19

140

15

.3

70

4.

521

.8—

3590

1470

9

26

10

3

6.71

24.1

7.

721.

08

125

14

.4

54.

7 4.

333

.657

2770

3400

8

04

89

.47.

0720

.8

6.94

1.14

10

5

12.1

50

4.

523

.2—

3450

1540

4

86

64

.85.

7515

.7

5.57

1.03

77

.19.

97 4

2.9

4.4

31.0

—29

6024

70

447

59.6

5.95

14.4

5.

231.

07

69.3

9.02

50

4.

213

.9—

5070

333

3

05

50

.84.

5515

.7

5.74

1.03

61

.210

.3

40.

8 4.

020

.7—

4050

682

2

72

45

.44.

7713

.6

5.16

1.06

53

.18.

85

35

4.

723

.4—

3500

1310

2

29

38

.24.

729.

873.

890.

980

44.8

6.79

31.

8 4.

628

.6—

3190

1710

2

18

36

.44.

839.

363.

741.

00

42.0

6.40

35

5.

013

.8—

4960

374

1

47

29

.43.

788.

363.

380.

901

35.4

6.22

25.

4 4.

726

.4—

3430

122

0

124

24.7

4.07

6.79

2.91

0.95

428

.44.

96

23

4.

914

.5—

4770

397

64.9

16

.23.

104.

312.

070.

798

19.3

3.68

18.

4 4.

723

.7—

3770

821

57.6

14

.43.

263.

731.

860.

831

16.5

3.16

17.

255.

0 9

.9—

6250

143

26.3

8.77

2.28

2.31

1.30

0.67

510

.62.

36 1

2.5

4.6

19.9

—42

90 4

77

22

.1

7.

372.

451.

821.

090.

705

8.

471.

85

10

4.

617

.4—

4630

348

12.3

4.92

2.05

1.22

0.8

090.

643

5.

671.

37

9.

5 4.

8 8

.7—

6830

87

.4

6.7

9

3.39

1.56

0.9

03 0

.646

0.56

9

4.04

1.13

7.

7 4.

514

.7—

5240

207

6.0

8

3.04

1.64

0.7

64 0

.574

0.58

1

3.51

0.9

64

7.

5 4.

8 5

.6—

9160

28

.1

2.9

3

1.95

1.15

0.5

86 0

.468

0.51

6

2.36

0.8

26

5.7

4.5

11.4

—61

60 1

06

2

.52

1.

681.

23 0

.455

0.3

900.

522

1.

95 0

.653

XX

YY

d

t

t

k kT

b

f

f

w

grip

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

47

Page 12: Structural Shapes

HP

SH

AP

ES

Dim

ensi

ons

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Th

ickn

ess

t wt w 2

Wid

thb

f

Th

ickn

ess

t fT

kk 1

in.2

in.

in.

in.

in.

in.

in.

in.

in.

HP

14×1

1734

.414

.21

141 ⁄ 4

0.80

513

⁄ 167 ⁄ 1

614

.885

147 ⁄ 8

0.80

513

⁄ 1611

1 ⁄ 411 ⁄ 2

11 ⁄ 16

HP

14×1

0230

.014

.01

140.

705

11⁄ 16

3 ⁄ 814

.785

143 ⁄ 4

0.70

511

⁄ 1611

1 ⁄ 413 ⁄ 8

1H

P14

×89

26.1

13.8

313

7 ⁄ 80.

615

5 ⁄ 85 ⁄ 1

614

.695

143 ⁄ 4

0.61

55 ⁄ 8

111 ⁄ 4

15 ⁄ 16

15⁄ 16

HP

14×7

321

.413

.61

135 ⁄ 8

0.50

51 ⁄ 2

1 ⁄ 414

.585

145 ⁄ 8

0.50

51 ⁄ 2

111 ⁄ 4

13 ⁄ 16

7 ⁄ 8

HP

12×8

424

.612

.28

121 ⁄ 4

0.68

511

⁄ 163 ⁄ 8

12.2

9512

1 ⁄ 40.

685

11⁄ 16

91 ⁄ 213 ⁄ 8

1H

P14

×74

21.8

12.1

312

1 ⁄ 80.

605

5 ⁄ 85 ⁄ 1

612

.215

121 ⁄ 4

0.61

05 ⁄ 8

91 ⁄ 215 ⁄ 1

615

⁄ 16H

P14

×63

18.4

11.9

412

0.51

51 ⁄ 2

1 ⁄ 412

.125

121 ⁄ 8

0.51

51 ⁄ 2

91 ⁄ 211 ⁄ 4

7 ⁄ 8H

P14

×53

15.5

11.7

811

3 ⁄ 40.

435

7 ⁄ 16

1 ⁄ 412

.045

120.

435

7 ⁄ 16

91 ⁄ 211 ⁄ 8

7 ⁄ 8

HP

10×5

716

.8 9

.99

100.

565

9 ⁄ 16

5 ⁄ 16

10.2

2510

1 ⁄ 40.

565

9 ⁄ 16

75 ⁄ 813 ⁄ 1

613

⁄ 16H

P14

×42

12.4

9.7

093 ⁄ 4

0.41

57 ⁄ 1

61 ⁄ 4

10.0

7510

1 ⁄ 80.

420

7 ⁄ 16

75 ⁄ 811 ⁄ 1

63 ⁄ 4

HP

8×36

10.6

8.0

28

0.44

57 ⁄ 1

61 ⁄ 4

8.1

5581 ⁄ 8

0.44

57 ⁄ 1

661 ⁄ 8

15⁄ 16

5 ⁄ 8

XX

YY

d

t

t

kk kT

b

f

f

w

1 AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

48D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

HP

SH

AP

ES

Pro

pert

ies

No

m-

inal

Wt.

per ft

Co

mp

act

Sec

tio

nC

rite

ria

X1

X2

×× 10

6

Ela

stic

Pro

per

ties

Pla

stic

Mo

du

lus

Axi

s X

-XA

xis

Y-Y

Zx

Zy

bf

2tf

h t w

Fy′′

′′′′I

Sr

IS

r

lbks

iks

i(1

/ksi

)2in

.4in

.3in

.in

.4in

.3in

.in

.3in

.3

117

9.2

14.2

—38

70 6

5912

2017

2

5.96

443

59

.5

3.59

194

91

.410

210

.516

.2—

3400

1090

1050

150

5.

9238

0

51.4

3.

5616

9

78.8

89

11.9

18.5

—29

6018

40 9

0413

1

5.88

326

44

.3

3.53

146

67

.7 7

314

.422

.6—

2450

3880

729

107

5.

8426

1

35.8

3.

4911

8

54.6

84

9.0

14.2

—38

60 6

70 6

5010

6

5.14

213

34

.6

2.94

120

53

.2 7

410

.016

.0—

3440

1050

569

93.

85.

1118

6

30.4

2.

9210

5

46.6

63

11.8

18.9

—29

4019

40 4

72 7

9.1

5.06

153

25

.3

2.88

88.

338

.7 5

313

.822

.3—

2500

3650

393

66.

85.

0312

7

21.1

2.

86 7

4.0

32.2

57

9.0

13.9

—39

20 6

31 2

94 5

8.8

4.18

101

19

.7

2.45

66.

530

.3 4

212

.018

.9—

2920

1970

210

43.

44.

13 7

1.7

14.2

2.

41 4

8.3

21.8

36

9.2

14.2

—38

40 6

85 1

19 2

9.8

3.36

40.

3 9

.88

1.95

33.

615

.2

XX

YY

d

t

t

kk kT

b

f

f

w

1

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

49

Page 13: Structural Shapes

CH

AN

NE

LSA

ME

RIC

AN

STA

ND

AR

DD

imen

sion

s

Des

ig-

nat

ion

Are

aA

Web

Fla

ng

eD

ista

nce

Gri

p

Max

.F

lge.

Fas

-te

ner

Dep

thd

Th

ickn

ess

t w

t w 2W

idth

b fT

hic

knes

st f

Tk

in.2

in.

in.

in.

in.

in.

in.

in.

in.

in.

C15

×50

14.7

15

.00

0.71

611

⁄ 163 ⁄ 8

3.71

633 ⁄ 4

0.65

05 ⁄ 8

121 ⁄ 8

17 ⁄ 16

5 ⁄ 81

C15

×40

11.8

15

.00

0.52

01 ⁄ 2

1 ⁄ 43.

520

31 ⁄ 20.

650

5 ⁄ 812

1 ⁄ 817 ⁄ 1

65 ⁄ 8

1C

15×3

3.9

9.9

615

.00

0.40

03 ⁄ 8

3 ⁄ 16

3.40

033 ⁄ 8

0.65

05 ⁄ 8

121 ⁄ 8

17 ⁄ 16

5 ⁄ 81

C12

×30

8.8

212

.00

0.51

01 ⁄ 2

1 ⁄ 43.

170

31 ⁄ 80.

501

1 ⁄ 293 ⁄ 4

11 ⁄ 81 ⁄ 2

7 ⁄ 8C

15×2

5 7

.35

12.0

00.

387

3 ⁄ 83 ⁄ 1

63.

047

30.

501

1 ⁄ 293 ⁄ 4

11 ⁄ 81 ⁄ 2

7 ⁄ 8C

15×2

0.7

6.0

912

.00

0.28

25 ⁄ 1

61 ⁄ 8

2.94

23

0.50

11 ⁄ 2

93 ⁄ 411 ⁄ 8

1 ⁄ 27 ⁄ 8

C10

×30

8.8

210

.00

0.67

311

⁄ 165 ⁄ 1

63.

033

30.

436

7 ⁄ 16

81

7 ⁄ 16

3 ⁄ 4C

15×2

5 7

.35

10.0

00.

526

1 ⁄ 21 ⁄ 4

2.88

627 ⁄ 8

0.43

67 ⁄ 1

68

17 ⁄ 1

63 ⁄ 4

C15

×20

5.8

810

.00

0.37

93 ⁄ 8

3 ⁄ 16

2.73

923 ⁄ 4

0.43

67 ⁄ 1

68

17 ⁄ 1

63 ⁄ 4

C15

×15.

3 4

.49

10.0

00.

240

1 ⁄ 41 ⁄ 8

2.60

025 ⁄ 8

0.43

67 ⁄ 1

68

17 ⁄ 1

63 ⁄ 4

C9×

20 5

.88

9.0

00.

448

7 ⁄ 16

1 ⁄ 42.

648

25 ⁄ 80.

413

7 ⁄ 16

71 ⁄ 815

⁄ 167 ⁄ 1

63 ⁄ 4

C5×

15 4

.41

9.0

00.

285

5 ⁄ 16

1 ⁄ 82.

485

21 ⁄ 20.

413

7 ⁄ 16

71 ⁄ 815

⁄ 167 ⁄ 1

63 ⁄ 4

C5×

13.4

3.9

4 9

.00

0.23

31 ⁄ 4

1 ⁄ 82.

433

23 ⁄ 80.

413

7 ⁄ 16

71 ⁄ 815

⁄ 167 ⁄ 1

63 ⁄ 4

C8×

18.7

5 5

.51

8.0

00.

487

1 ⁄ 21 ⁄ 4

2.52

721 ⁄ 2

0.39

03 ⁄ 8

61 ⁄ 815

⁄ 163 ⁄ 8

3 ⁄ 4C

8×13

.75

4.0

4 8

.00

0.30

35 ⁄ 1

61 ⁄ 8

2.34

323 ⁄ 8

0.39

03 ⁄ 8

61 ⁄ 815

⁄ 163 ⁄ 8

3 ⁄ 4C

8×11

.5 3

.38

8.0

00.

220

1 ⁄ 41 ⁄ 8

2.26

021 ⁄ 4

0.39

03 ⁄ 8

61 ⁄ 815

⁄ 163 ⁄ 8

3 ⁄ 4

C7×

12.2

5 3

.60

7.0

00.

314

5 ⁄ 16

3 ⁄ 16

2.19

421 ⁄ 4

0.36

63 ⁄ 8

51 ⁄ 47 ⁄ 8

3 ⁄ 85 ⁄ 8

C8×

9.8

2.8

7 7

.00

0.21

03 ⁄ 1

61 ⁄ 8

2.09

021 ⁄ 8

0.36

63 ⁄ 8

51 ⁄ 47 ⁄ 8

3 ⁄ 85 ⁄ 8

C6×

13 3

.83

6.0

00.

437

7 ⁄ 16

3 ⁄ 16

2.15

721 ⁄ 8

0.34

35 ⁄ 1

643 ⁄ 8

13⁄ 16

5 ⁄ 16

5 ⁄ 8C

8×10

.5 3

.09

6.0

00.

314

5 ⁄ 16

3 ⁄ 16

2.03

42

0.34

35 ⁄ 1

643 ⁄ 8

13⁄ 16

3 ⁄ 85 ⁄ 8

C8×

8.2

2.4

0 6

.00

0.20

03 ⁄ 1

61 ⁄ 8

1.92

017 ⁄ 8

0.34

35 ⁄ 1

643 ⁄ 8

13⁄ 16

5 ⁄ 16

5 ⁄ 8

C5×

9 2

.64

5.0

00.

325

5 ⁄ 16

3 ⁄ 16

1.88

517 ⁄ 8

0.32

05 ⁄ 1

631 ⁄ 2

3 ⁄ 45 ⁄ 1

65 ⁄ 8

C8×

6.7

1.9

7 5

.00

0.19

03 ⁄ 1

61 ⁄ 8

1.75

013 ⁄ 4

0.32

05 ⁄ 1

631 ⁄ 2

3 ⁄ 4—

C4×

7.25

2.1

3 4

.00

0.32

15 ⁄ 1

63 ⁄ 1

61.

721

13 ⁄ 40.

296

5 ⁄ 16

25 ⁄ 811

⁄ 165 ⁄ 1

65 ⁄ 8

C8×

5.4

1.5

9 4

.00

0.18

43 ⁄ 1

61 ⁄ 1

61.

584

15 ⁄ 80.

296

5 ⁄ 16

25 ⁄ 811

⁄ 16—

C3×

6 1

.76

3.0

00.

356

3 ⁄ 83 ⁄ 1

61.

596

15 ⁄ 80.

273

1 ⁄ 415 ⁄ 8

11⁄ 16

——

C8×

5 1

.47

3.0

00.

258

1 ⁄ 41 ⁄ 8

1.49

811 ⁄ 2

0.27

31 ⁄ 4

15 ⁄ 811

⁄ 16—

—C

8×4.

1 1

.21

3.0

00.

170

3 ⁄ 16

1 ⁄ 16

1.41

013 ⁄ 8

0.27

31 ⁄ 4

15 ⁄ 811

⁄ 16—

XX

YY

d

t

t

k kT

b

f

f

w

grip

oe

xx p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

50D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

CH

AN

NE

LSA

ME

RIC

AN

STA

ND

AR

DP

rope

rtie

s

No

m-

inal

Wt.

per ft

x____

Sh

ear

Cen

ter

Lo

ca-

tio

ne o

PN

AL

oca

-ti

on

x p

Axi

s X

-XA

xis

Y-Y

IZ

Sr

IZ

Sr

lbin

.in

.in

.in

.4in

.3in

.3in

.in

.4in

.3in

.3in

.

50

0.

798

0.58

30.

488

404

68

.2

53.8

5.

2411

.0

8.17

3.

78

0.86

740

0.77

70.

767

0.39

034

9

57.2

46

.5

5.44

9.2

3 6.

87

3.37

0.

886

33.9

0.

787

0.89

60.

330

315

50

.4

42.0

5.

62 8

.13

6.23

3.

11

0.90

4

30

0.

674

0.61

80.

366

162

33

.6

27.0

4.

29 5

.14

4.33

2.

06

0.76

325

0.67

40.

746

0.30

514

4

29.2

24

.1

4.43

4.4

7 3.

84

1.88

0.

780

20.7

0.

698

0.87

00.

252

129

25

.4

21.5

4.

61 3

.88

3.49

1.

73

0.79

9

30

0.

649

0.36

90.

439

103

26

.6

20.7

3.

42 3

.94

3.78

1.

65

0.66

925

0.61

70.

494

0.36

6 9

1.2

23.0

18

.2

3.52

3.3

6 3.

19

1.48

0.

676

20

0.

606

0.63

70.

292

78.

9 19

.3

15.8

3.

66 2

.81

2.71

1.

32

0.69

215

.3

0.63

40.

796

0.22

3 6

7.4

15.8

13

.5

3.87

2.2

8 2.

35

1.16

0.

713

20

0.

583

0.51

50.

325

60.

9 16

.8

13.5

3.

22 2

.42

2.47

1.

17

0.64

215

0.58

60.

682

0.24

3 5

1.0

13.5

11

.3

3.40

1.9

3 2.

05

1.01

0.

661

13.4

0.

601

0.74

30.

217

47.

9 12

.5

10.6

3.

48 1

.76

1.95

0.

962

0.66

9

18.7

50.

565

0.43

10.

343

44.

0 13

.8

11.0

2.

82 1

.98

2.17

1.

01

0.59

913

.75

0.55

30.

604

0.25

1 3

6.1

10.9

9

.03

2.99

1.5

3 1.

73

0.85

40.

615

11.5

0.

571

0.69

70.

209

32.

6 9

.55

8.1

43.

11 1

.32

1.58

0.

781

0.62

5

12.2

50.

525

0.53

80.

255

24.

2 8

.40

6.9

32.

60 1

.17

1.43

0.

703

0.57

1 9

.8

0.54

00.

647

0.20

3 2

1.3

7.1

2 6

.08

2.72

0.9

681.

26

0.62

50.

581

13

0.

514

0.38

00.

317

17.

4 7

.26

5.8

02.

13 1

.05

1.36

0.

642

0.52

510

.5

0.49

90.

486

0.25

5 1

5.2

6.1

5 5

.06

2.22

0.8

661.

15

0.56

40.

529

8.2

0.

511

0.59

90.

198

13.

1 5

.13

4.3

82.

34 0

.693

0.99

30.

492

0.53

7

9

0.

478

0.42

70.

262

8.

90 4

.36

3.5

61.

83 0

.632

0.91

80.

450

0.48

9 6

.7

0.48

40.

552

0.21

7

7.49

3.5

1 3

.00

1.95

0.4

790.

763

0.37

80.

493

7.2

50.

459

0.38

60.

264

4.

59 2

.81

2.2

91.

47 0

.433

0.69

70.

343

0.45

0 5

.4

0.45

70.

502

0.24

1

3.85

2.2

6 1

.93

1.56

0.3

190.

569

0.28

30.

449

6

0.

455

0.32

20.

291

2.

07 1

.72

1.3

81.

08 0

.305

0.54

40.

268

0.41

6 5

0.43

80.

392

0.24

2

1.85

1.5

0 1

.24

1.12

0.2

470.

466

0.23

30.

410

4.1

0.

436

0.46

10.

284

1.

66 1

.30

1.1

01.

17 0

.197

0.40

10.

202

0.40

4

XX

YY

d

t

t

k kT

b

f

f

w

grip

oe

xx p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

51

Page 14: Structural Shapes

CH

AN

NE

LSM

ISC

ELL

AN

EO

US

Dim

ensi

ons

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Gri

p

Max

.F

lge.

Fas

-te

ner

Th

ickn

ess

t w

t w 2W

idth

bf

Th

ickn

ess

t fT

k

in.2

in.

in.

in.

in.

in.

in.

in.

in.

in.

MC

18×5

817

.1

18.0

00.

700

11⁄ 16

3 ⁄ 84.

200

41 ⁄ 40.

625

5 ⁄ 815

1 ⁄ 413 ⁄ 8

5 ⁄ 81

MC

18×5

1.9

15.3

18

.00

0.60

05 ⁄ 8

5 ⁄ 16

4.10

041 ⁄ 8

0.62

55 ⁄ 8

151 ⁄ 4

13 ⁄ 85 ⁄ 8

1M

C18

×45.

813

.5

18.0

00.

500

1 ⁄ 21 ⁄ 4

4.00

04

0.62

55 ⁄ 8

151 ⁄ 4

13 ⁄ 85 ⁄ 8

1M

C18

×42.

712

.6

18.0

00.

450

7 ⁄ 16

1 ⁄ 43.

950

40.

625

5 ⁄ 815

1 ⁄ 413 ⁄ 8

5 ⁄ 81

MC

13×5

014

.7

13.0

00.

787

3 ⁄ 16

3 ⁄ 84.

412

43 ⁄ 80.

610

5 ⁄ 810

1 ⁄ 413 ⁄ 8

5 ⁄ 81

MC

18×4

011

.8

13.0

00.

560

9 ⁄ 16

1 ⁄ 44.

185

41 ⁄ 80.

610

5 ⁄ 810

1 ⁄ 413 ⁄ 8

9 ⁄ 16

1M

C18

×35

10.3

13

.00

0.44

77 ⁄ 1

61 ⁄ 4

4.07

241 ⁄ 8

0.61

05 ⁄ 8

101 ⁄ 4

13 ⁄ 89 ⁄ 1

61

MC

18×3

1.8

9.3

513

.00

0.37

53 ⁄ 8

3 ⁄ 16

4.00

04

0.61

05 ⁄ 8

101 ⁄ 4

13 ⁄ 89 ⁄ 1

61

MC

12×5

014

.7

12.0

00.

835

13⁄ 16

7 ⁄ 16

4.13

541 ⁄ 8

0.70

011

⁄ 1693 ⁄ 8

15 ⁄ 16

11⁄ 16

1M

C18

×45

13.2

12

.00

0.71

211

⁄ 163 ⁄ 8

4.01

24

0.70

011

⁄ 1693 ⁄ 8

15 ⁄ 16

11⁄ 16

1M

C18

×40

11.8

12

.00

0.59

09 ⁄ 1

65 ⁄ 1

63.

890

37 ⁄ 80.

700

11⁄ 16

93 ⁄ 815 ⁄ 1

611

⁄ 161

MC

18×3

510

.3

12.0

00.

467

7 ⁄ 16

1 ⁄ 43.

767

33 ⁄ 40.

700

11⁄ 16

93 ⁄ 815 ⁄ 1

611

⁄ 161

MC

18×3

1 9

.12

12.0

00.

370

3 ⁄ 83 ⁄ 1

63.

670

35 ⁄ 80.

700

11⁄ 16

93 ⁄ 815 ⁄ 1

611

⁄ 161

MC

12×1

0.6

3.1

012

.00

0.19

03 ⁄ 1

61 ⁄ 8

1.50

011 ⁄ 2

0.30

95 ⁄ 1

610

5 ⁄ 811

⁄ 16—

MC

10×4

1.1

12.1

10

.00

0.79

613

⁄ 163 ⁄ 8

4.32

143 ⁄ 8

0.57

59 ⁄ 1

671 ⁄ 2

11 ⁄ 49 ⁄ 1

67 ⁄ 8

MC

18×3

3.6

9.8

710

.00

0.57

59 ⁄ 1

65 ⁄ 1

64.

100

41 ⁄ 80.

575

9 ⁄ 16

71 ⁄ 211 ⁄ 4

9 ⁄ 16

7 ⁄ 8M

C18

×28.

5 8

.37

10.0

00.

425

7 ⁄ 16

3 ⁄ 16

3.95

04

0.57

59 ⁄ 1

671 ⁄ 2

11 ⁄ 49 ⁄ 1

67 ⁄ 8

MC

10×2

5 7

.35

10.0

00.

380

3 ⁄ 83 ⁄ 1

63.

405

33 ⁄ 80.

575

9 ⁄ 16

71 ⁄ 211 ⁄ 4

9 ⁄ 16

7 ⁄ 8M

C18

×22

6.4

510

.00

0.29

05 ⁄ 1

61 ⁄ 8

3.31

533 ⁄ 8

0.57

59 ⁄ 1

671 ⁄ 2

11 ⁄ 49 ⁄ 1

67 ⁄ 8

MC

10×8

.4 2

.46

10.0

00.

170

3 ⁄ 16

1 ⁄ 16

1.50

011 ⁄ 2

0.28

01 ⁄ 4

85 ⁄ 811

⁄ 16—

XX

YY

d

t

t

k kT

b

f

f

w

grip

oe

xx p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

52D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

CH

AN

NE

LSM

ISC

ELL

AN

EO

US

Pro

pert

ies

No

m-

inal

Wt.

per ft

x____

Sh

ear

Cen

ter

Lo

ca-

tio

ne o

PN

AL

oca

-ti

on

x p

Axi

s X

-XA

xis

Y-Y

IZ

Sr

IZ

Sr

lbin

.in

.in

.in

.4in

.3in

.3in

.in

.4in

.3in

.3in

.

58

0.86

20.

695

0.47

267

6

94.6

75

.1

6.29

17.8

9

.94

5.32

1.

02

51.9

0.85

80.

797

0.42

262

7

86.5

69

.7

6.41

16.4

9

.13

5.07

1.

04

45.8

0.86

60.

909

0.37

257

8

78.4

64

.3

6.56

15.1

8

.42

4.82

1.

06

42.7

0.87

70.

969

0.34

755

4

74.4

61

.6

6.64

14.4

8

.10

4.69

1.

07

50

0.97

40.

815

0.56

431

4

60.5

48

.4

4.62

16.5

10

.1

4.79

1.

06

40

0.96

31.

03

0.45

027

3

50.9

42

.0

4.82

13.7

8

.57

4.26

1.

08

35

0.98

01.

16

0.39

425

2

46.2

38

.8

4.95

12.3

7

.95

3.99

1.

10

31.8

1.00

1.

24

0.35

823

9

43.1

36

.8

5.06

11.4

7

.60

3.81

1.

11

50

1.05

0.

741

0.61

026

9

56.1

44

.9

4.28

17.4

10

.2

5.65

1.

09

45

1.04

0.

844

0.54

925

2

51.7

42

.0

4.36

15.8

9

.35

5.33

1.

09

40

1.04

0.

952

0.48

823

4

47.3

39

.0

4.46

14.3

8

.59

5.00

1.

10

35

1.05

1.

07

0.42

621

6

42.8

36

.1

4.59

12.7

7

.91

4.67

1.

11

31

1.08

1.

18

0.41

620

3

39.3

33

.8

4.71

11.3

7

.44

4.39

1.

12

10.6

0.26

90.

284

0.12

9 5

5.4

11.6

9

.23

4.22

0.3

82 0

.639

0.31

00.

351

41.1

1.09

0.

864

0.60

115

8

38.9

31

.5

3.61

15.8

8

.71

4.88

1.

14

33.6

1.08

1.

06

0.49

013

9

33.4

27

.8

3.75

13.2

7

.51

4.38

1.

16

28.5

1.12

1.

21

0.41

512

7

29.6

25

.3

3.89

11.4

6

.83

4.02

1.

17

25

0.95

31.

03

0.36

411

0

25.8

22

.0

3.87

7.3

5 5

.21

3.00

1.

00

22

0.99

01.

13

0.46

810

3

23.6

20

.5

3.99

6.5

0 4

.86

2.80

1.

00

8.

40.

284

0.33

20.

122

32

.0 7

.86

6.4

03.

61 0

.328

0.5

520.

270

0.36

5

XX

YY

d

t

t

k kT

b

f

f

w

grip

oe

xx p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

53

Page 15: Structural Shapes

CH

AN

NE

LSM

ISC

ELL

AN

EO

US

Dim

ensi

ons

Des

ig-

nat

ion

Are

aA

Dep

thd

Web

Fla

ng

eD

ista

nce

Gri

p

Max

.F

lge.

Fas

-te

ner

Th

ickn

ess

t w

t w 2W

idth

bf

Th

ickn

ess

t fT

k

in.2

in.

in.

in.

in.

in.

in.

in.

in.

in.

MC

9×25

.47.

479.

000.

450

7 ⁄ 16

1 ⁄ 43.

500

31 ⁄ 20.

550

9 ⁄ 16

65 ⁄ 813 ⁄ 1

69 ⁄ 1

67 ⁄ 8

MC

9×23

.97.

029.

000.

400

3 ⁄ 83 ⁄ 1

63.

450

31 ⁄ 20.

550

9 ⁄ 16

65 ⁄ 813 ⁄ 1

69 ⁄ 1

67 ⁄ 8

MC

8×22

.86.

708.

000.

427

7 ⁄ 16

3 ⁄ 16

3.50

231 ⁄ 2

0.52

51 ⁄ 2

55 ⁄ 813 ⁄ 1

61 ⁄ 2

7 ⁄ 8M

C9×

21.4

6.28

8.00

0.37

53 ⁄ 8

3 ⁄ 16

3.45

031 ⁄ 2

0.52

51 ⁄ 2

55 ⁄ 813 ⁄ 1

61 ⁄ 2

7 ⁄ 8

MC

8×20

5.88

8.00

0.40

03 ⁄ 8

3 ⁄ 16

3.02

53

0.50

01 ⁄ 2

53 ⁄ 411 ⁄ 8

1 ⁄ 27 ⁄ 8

MC

9×18

.75.

508.

000.

353

3 ⁄ 83 ⁄ 1

62.

978

30.

500

1 ⁄ 253 ⁄ 4

11 ⁄ 81 ⁄ 2

7 ⁄ 8

MC

8×8.

52.

508.

000.

179

3 ⁄ 16

1 ⁄ 16

1.87

417 ⁄ 8

0.31

15 ⁄ 1

661 ⁄ 2

3 ⁄ 45 ⁄ 1

65 ⁄ 8

MC

7×22

.76.

677.

000.

503

1 ⁄ 21 ⁄ 4

3.60

335 ⁄ 8

0.50

01 ⁄ 2

43 ⁄ 411 ⁄ 8

1 ⁄ 27 ⁄ 8

MC

9×19

.15.

617.

000.

352

3 ⁄ 83 ⁄ 1

63.

452

31 ⁄ 20.

500

1 ⁄ 243 ⁄ 4

11 ⁄ 81 ⁄ 2

7 ⁄ 8

MC

6×18

5.29

6.00

0.37

93 ⁄ 8

3 ⁄ 16

3.50

431 ⁄ 2

0.47

51 ⁄ 2

37 ⁄ 811 ⁄ 1

61 ⁄ 2

7 ⁄ 8

MC

6×16

.34.

796.

000.

375

3 ⁄ 83 ⁄ 1

63.

000

30.

475

1 ⁄ 237 ⁄ 8

11 ⁄ 16

1 ⁄ 23 ⁄ 4

MC

9×15

.14.

446.

000.

316

5 ⁄ 16

3 ⁄ 16

2.94

13

0.47

51 ⁄ 2

37 ⁄ 811 ⁄ 1

61 ⁄ 2

3 ⁄ 4

MC

6×12

3.53

6.00

0.31

05 ⁄ 1

61 ⁄ 8

2.49

721 ⁄ 2

0.37

53 ⁄ 8

43 ⁄ 813

⁄ 163 ⁄ 8

5 ⁄ 8

XX

YY

d

t

t

k kT

b

f

f

w

grip

oe

xx p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

54D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

CH

AN

NE

LSM

ISC

ELL

AN

EO

US

Pro

pert

ies

No

m-

inal

Wt.

per ft

x____

Sh

ear

Cen

ter

Lo

ca-

tio

ne o

PN

AL

oca

-ti

on

x p

Axi

s X

-XA

xis

Y-Y

IZ

Sr

IZ

Sr

lbin

.in

.in

.in

.4in

.3in

.3in

.in

.4in

.3in

.3in

.

25.4

0.97

00.

986

0.41

188

.023

.2

19.6

3.

437.

65

5.23

3.

02

1.01

23

.90.

981

1.04

0.

386

85.0

22.2

18

.9

3.48

7.22

5.

05

2.93

1.

01

22.8

1.01

1.

04

0.41

563

.818

.8

16.0

3.

097.

07

4.88

2.

84

1.03

21

.41.

02

1.09

0.

449

61.6

18.0

15

.4

3.13

6.64

4.

71

2.74

1.

03

20

0.84

00.

843

0.36

454

.516

.2

13.6

3.

054.

47

3.57

2.

05

0.87

218

.70.

849

0.88

90.

341

52.5

15.4

13

.1

3.09

4.20

3.

44

1.97

0.

874

8.5

0.42

80.

542

0.15

523

.36.

91 5

.83

3.05

0.62

80.

882

0.43

40.

501

22.7

1.04

1.

01

0.47

347

.516

.2

13.6

2.

677.

29

4.86

2.

85

1.05

19

.11.

08

1.15

0.

567

43.2

14.3

12

.3

2.77

6.11

4.

34

2.57

1.

04

18

1.12

1.

17

0.62

229

.711

.5

9.9

12.

375.

93

4.14

2.

48

1.06

16.3

0.92

70.

930

0.46

426

.010

.2

8.6

82.

333.

82

3.18

1.

84

0.89

215

.10.

940

0.98

20.

537

25.0

9.6

9 8

.32

2.37

3.51

3.

00

1.75

0.

889

12

0.70

40.

725

0.29

218

.7 7

.38

6.2

42.

301.

87

1.79

1.

04

0.72

8

XX

YY

d

t

t

k kT

b

f

f

w

grip

oe

xx p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

55

Page 16: Structural Shapes

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

sk

Wei

gh

tp

er ftA

rea

Axi

s X

-X

IS

ry

Zy p

in.

in.

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L8×8

×11 ⁄ 8

13 ⁄ 456

.916

.7

98.0

17.5

2.

422.

4131

.6

1.05

L

8×8×

115 ⁄ 8

51.0

15.0

89

.015

.8

2.44

2.37

28.5

0.

938

L8×

8×17 ⁄ 8

11 ⁄ 245

.013

.2

79.6

14.0

2.

452.

3325

.3

0.82

7L

8×8×

13 ⁄ 413 ⁄ 8

38.9

11.4

69

.712

.2

2.47

2.28

22.0

0.

715

L8×

8×15 ⁄ 8

11 ⁄ 432

.7 9

.61

59.4

10.3

2.

492.

2318

.6

0.60

1L

8×8×

19 ⁄ 16

13 ⁄ 16

29.6

8.6

854

.1 9

.34

2.50

2.21

16.8

0.

543

L8×

8×11 ⁄ 2

11 ⁄ 826

.4 7

.75

48.6

8.3

62.

502.

1915

.1

0.48

4

L8×6

×111 ⁄ 2

44.2

13.0

80

.815

.1

2.49

2.65

27.3

1.

50

L8×

8×17 ⁄ 8

13 ⁄ 839

.111

.5

72.3

13.4

2.

512.

6124

.2

1.44

L

8×8×

13 ⁄ 411 ⁄ 4

33.8

9.9

463

.411

.7

2.53

2.56

21.1

1.

38

L8×

8×15 ⁄ 8

11 ⁄ 828

.5 8

.36

54.1

9.8

72.

542.

5217

.9

1.31

L

8×8×

19 ⁄ 16

11 ⁄ 16

25.7

7.5

649

.3 8

.95

2.55

2.50

16.2

1.

28

L8×

8×11 ⁄ 2

123

.0 6

.75

44.3

8.0

22.

562.

4714

.5

1.25

L

8×8×

17 ⁄ 16

15⁄ 16

20.2

5.9

339

.2 7

.07

2.57

2.45

12.8

1.

22

L8×4

×111 ⁄ 2

37.4

11.0

69

.614

.1

2.52

3.05

24.3

2.

50

L8×

8×17 ⁄ 8

13 ⁄ 833

.1 9

.73

62.5

12.5

2.53

3.00

21.6

2.

44

L8×

8×13 ⁄ 4

11 ⁄ 428

.7 8

.44

54.9

10.9

2.

552.

9518

.9

2.38

L8

×4×1

5 ⁄ 811 ⁄ 8

24.2

7.1

146

.9 9

.21

2.57

2.91

16.0

2.

31

L8×

8×19 ⁄ 1

611 ⁄ 1

621

.9 6

.43

42.8

8.3

52.

582.

8814

.5

2.28

L

8×8×

11 ⁄ 21

19.6

5.7

538

.5 7

.49

2.59

2.86

13.0

2.

25

L8×4

×17 ⁄ 1

615

⁄ 1617

.2 5

.06

34.1

6.6

02.

602.

8311

.5

2.22

L7

×4×3 ⁄ 4

11 ⁄ 426

.2 7

.69

37.8

8.4

22.

222.

5114

.8

1.88

L

7×4×

5 ⁄ 811 ⁄ 8

22.1

6.4

832

.4 7

.14

2.24

2.46

12.6

1.

81

L7×

4×1 ⁄ 2

117

.9 5

.25

26.7

5.8

12.

252.

4210

.3

1.75

L7

×4×7 ⁄ 1

615

⁄ 1615

.7 4

.62

23.7

5.1

32.

262.

39 9

.09

1.72

L

7×4×

3 ⁄ 87 ⁄ 8

13.6

3.9

820

.6 4

.44

2.27

2.37

7.8

71.

69

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

56D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

s

Axi

s Y

-YA

xis

Z-Z

IS

rx

Zx p

rTa

n ααin

.in

.4in

.3in

.in

.in

.3in

.in

.

L8×8

×11 ⁄ 8

98.0

17

.5

2.42

2.41

31

.6

1.05

1.

56

1.00

0L

8×8×

189

.0

15.8

2.

442.

37

28.5

0.

938

1.56

1.

000

L8×

8×17 ⁄ 8

79.6

14

.0

2.45

2.33

25

.3

0.82

71.

57

1.00

0L

8×8×

13 ⁄ 469

.7

12.2

2.

472.

28

22.0

0.

715

1.58

1.

000

L8×

8×15 ⁄ 8

59.4

10

.3

2.49

2.23

18

.6

0.60

11.

58

1.00

0L

8×8×

19 ⁄ 16

54.1

9

.34

2.50

2.21

16

.8

0.54

31.

59

1.00

0L

8×8×

11 ⁄ 248

.6

8.3

62.

502.

19

15.1

0.

484

1.59

1.

000

L8×6

×138

.8

8.9

21.

731.

65

16.2

0.

813

1.28

0.

543

L8×

8×17 ⁄ 8

34.9

7

.94

1.74

1.61

14

.4

0.71

81.

28

0.54

7L

8×8×

13 ⁄ 430

.7

6.9

21.

761.

56

12.5

0.

621

1.29

0.

551

L8×

8×15 ⁄ 8

26.3

5

.88

1.77

1.52

10

.5

0.52

21.

29

0.55

4L

8×8×

19 ⁄ 16

24.0

5

.34

1.78

1.50

9

.52

0.47

21.

30

0.55

6L

8×8×

11 ⁄ 221

.7

4.7

91.

791.

47

8.5

10.

422

1.30

0.

558

L8×

8×17 ⁄ 1

619

.3

4.2

31.

801.

45

7.5

00.

371

1.31

0.

560

L8×4

×111

.6

3.9

41.

031.

05

7.7

20.

688

0.84

60.

247

L8×4

×17 ⁄ 8

10.5

3

.51

1.04

0.99

9 6

.77

0.60

80.

848

0.25

3L

8×8×

13 ⁄ 4 9

.36

3.0

71.

050.

953

5.8

10.

527

0.85

20.

258

L8×4

×15 ⁄ 8

8.1

0 2

.62

1.07

0.90

5 4

.86

0.44

40.

857

0.26

2L

8×8×

19 ⁄ 16

7.4

3 2

.38

1.07

0.88

2 4

.38

0.40

20.

861

0.26

5L

8×8×

11 ⁄ 2 6

.74

2.1

51.

080.

859

3.9

00.

359

0.86

50.

267

L8×4

×17 ⁄ 1

6 6

.02

1.9

01.

090.

835

3.4

20.

316

0.86

90.

269

L7×4

×3 ⁄ 4 9

.05

3.0

31.

091.

01

5.6

50.

549

0.86

00.

324

L7×

4×5 ⁄ 8

7.8

4 2

.58

1.10

0.96

3 4

.74

0.46

30.

865

0.32

9L

7×4×

1 ⁄ 2 6

.53

2.1

21.

110.

917

3.8

30.

375

0.87

20.

335

L7×4

×7 ⁄ 16

5.8

3 1

.88

1.12

0.89

3 3

.37

0.33

00.

875

0.33

7L

7×4×

3 ⁄ 8 5

.10

1.6

31.

130.

870

2.9

00.

285

0.88

00.

340

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

57

Page 17: Structural Shapes

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

sk

Wei

gh

tp

er ftA

rea

Axi

s X

-X

IS

ry

Zy p

in.

in.

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L6×6

×111 ⁄ 2

37.4

11

.0

35.5

8.

571.

801.

8615

.5

0.91

7L

6×6×

17 ⁄ 813 ⁄ 8

33.1

9

.73

31.9

7.

631.

811.

8213

.8

0.81

1L

6×6×

13 ⁄ 411 ⁄ 4

28.7

8

.44

28.2

6.

661.

831.

7812

.0

0.70

3L

6×6×

15 ⁄ 811 ⁄ 8

24.2

7

.11

24.2

5.

661.

841.

7310

.2

0.59

2L

6×6×

19 ⁄ 16

11 ⁄ 16

21.9

6

.43

22.1

5.

141.

851.

71 9

.26

0.53

6L

6×6×

11 ⁄ 21

19.6

5

.75

19.9

4.

611.

861.

68 8

.31

0.47

9L

6×6×

17 ⁄ 16

15⁄ 16

17.2

5

.06

17.7

4.

081.

871.

66 7

.34

0.42

2L

6×6×

13 ⁄ 87 ⁄ 8

14.9

4

.36

15.4

3.

531.

881.

64 6

.35

0.36

3L

6×6×

15 ⁄ 16

13⁄ 16

12.4

3

.65

13.0

2.

971.

891.

62 5

.35

0.30

4

L6×4

×7 ⁄ 813 ⁄ 8

27.2

7

.98

27.7

7.

151.

862.

1212

.7

1.44

L

6×4×

3 ⁄ 411 ⁄ 4

23.6

6

.94

24.5

6.

251.

882.

0811

.2

1.38

L

6×4×

5 ⁄ 811 ⁄ 8

20.0

5

.86

21.1

5.

311.

902.

03 9

.51

1.31

L

6×4×

9 ⁄ 16

11 ⁄ 16

18.1

5

.31

19.3

4.

831.

902.

01 8

.66

1.28

L

6×4×

1 ⁄ 21

16.2

4

.75

17.4

4.

331.

911.

99 7

.78

1.25

L

6×4×

7 ⁄ 16

15⁄ 16

14.3

4

.18

15.5

3.

831.

921.

96 6

.88

1.22

L

6×4×

3 ⁄ 87 ⁄ 8

12.3

3

.61

13.5

3.

321.

931.

94 5

.97

1.19

L

6×4×

5 ⁄ 16

13⁄ 16

10.3

3

.03

11.4

2.

791.

941.

92 5

.03

1.16

L6×3

1 ⁄ 2×1 ⁄ 2

115

.3

4.5

016

.6

4.24

1.92

2.08

7.5

01.

50

L6×

31 ⁄ 2×3 ⁄ 8

7 ⁄ 811

.7

3.4

212

.9

3.24

1.94

2.04

5.7

61.

44

L6×

31 ⁄ 2×5 ⁄ 1

613

⁄ 16 9

.80

2.8

710

.9

2.73

1.95

2.01

4.8

51.

41

L5×5

×7 ⁄ 813 ⁄ 8

27.2

7

.98

17.8

5.

171.

491.

57 9

.33

0.79

8L

5×5×

3 ⁄ 411 ⁄ 4

23.6

6

.94

15.7

4.

531.

511.

52 8

.16

0.69

4L

5×5×

5 ⁄ 811 ⁄ 8

20.0

5

.86

13.6

3.

861.

521.

48 6

.95

0.58

6L

5×5×

1 ⁄ 21

16.2

4

.75

11.3

3.

161.

541.

43 5

.68

0.47

5L

5×5×

7 ⁄ 16

15⁄ 16

14.3

4

.18

10.0

2.

791.

551.

41 5

.03

0.41

8L

5×5×

3 ⁄ 87 ⁄ 8

12.3

3

.61

8.7

42.

421.

561.

39 4

.36

0.36

1L

5×5×

5 ⁄ 16

13⁄ 16

10.3

3

.03

7.4

22.

041.

571.

37 3

.68

0.30

3

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

58D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

s

Axi

s Y

-YA

xis

Z-Z

IS

rx

Zx p

rTa

n ααin

.in

.4in

.3in

.in

.in

.3in

.in

.

L6×6

×135

.5

8.57

1.80

1.

86

15.5

0.

917

1.17

1.

000

L6×

6×17 ⁄ 8

31.9

7.

631.

81

1.82

13

.8

0.81

11.

17

1.00

0L

6×6×

13 ⁄ 428

.2

6.66

1.83

1.

78

12.0

0.

703

1.17

1.

000

L6×

6×15 ⁄ 8

24.2

5.

661.

84

1.73

10

.2

0.59

21.

18

1.00

0L

6×6×

19 ⁄ 16

22.1

5.

141.

85

1.71

9

.26

0.53

61.

18

1.00

0L

6×6×

11 ⁄ 219

.9

4.61

1.86

1.

68

8.3

10.

479

1.18

1.

000

L6×

6×17 ⁄ 1

617

.7

4.08

1.87

1.

66

7.3

40.

422

1.19

1.

000

L6×

6×13 ⁄ 8

15.4

3.

531.

88

1.64

6

.35

0.36

31.

19

1.00

0L

6×6×

15 ⁄ 16

13.0

2.

971.

89

1.62

5

.35

0.30

41.

20

1.00

0

L6×4

×7 ⁄ 8 9

.75

3.39

1.11

1.

12

6.3

10.

665

0.85

70.

421

L6×

4×3 ⁄ 4

8.6

82.

971.

12

1.08

5

.47

0.57

80.

860

0.42

8L

6×4×

5 ⁄ 8 7

.52

2.54

1.13

1.

03

4.6

20.

488

0.86

40.

435

L6×

4×9 ⁄ 1

6 6

.91

2.31

1.14

1.

01

4.1

90.

442

0.86

60.

438

L6×

4×1 ⁄ 2

6.2

72.

081.

15

0.98

7 3

.75

0.39

60.

870

0.44

0L

6×4×

7 ⁄ 16

5.6

01.

851.

16

0.96

4 3

.30

0.34

90.

873

0.44

3L

6×4×

3 ⁄ 8 4

.90

1.60

1.17

0.

941

2.8

50.

301

0.87

70.

446

L6×

4×5 ⁄ 1

6 4

.18

1.35

1.17

0.

918

2.4

00.

252

0.88

20.

448

L6×3

1 ⁄ 2×1 ⁄ 2

4.2

51.

590.

972

0.83

3 2

.91

0.37

50.

759

0.34

4L

6×31 ⁄ 2

×3 ⁄ 8 3

.34

1.23

0.98

80.

787

2.2

00.

285

0.76

70.

350

L6×

31 ⁄ 2×5 ⁄ 1

6 2

.85

1.04

0.99

60.

763

1.8

50.

239

0.77

20.

352

L5×5

×7 ⁄ 817

.8

5.17

1.49

1.

57

9.3

30.

798

0.97

31.

000

L5×

5×3 ⁄ 4

15.7

4.

531.

51

1.52

8

.16

0.69

40.

975

1.00

0L

5×5×

5 ⁄ 813

.6

3.86

1.52

1.

48

6.9

50.

586

0.97

81.

000

L5×

5×1 ⁄ 2

11.3

3.

161.

54

1.43

5

.68

0.47

50.

983

1.00

0L

5×5×

7 ⁄ 16

10.0

2.

791.

55

1.41

5

.03

0.41

80.

986

1.00

0L

5×5×

3 ⁄ 8 8

.74

2.42

1.56

1.

39

4.3

60.

361

0.99

01.

000

L5×

5×5 ⁄ 1

6 7

.42

2.04

1.57

1.

37

3.6

80.

303

0.99

41.

000

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

59

Page 18: Structural Shapes

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

sk

Wei

gh

tp

er ftA

rea

Axi

s X

-X

IS

ry

Zy p

in.

in.

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L5×3

1 ⁄ 2×3 ⁄ 4

11 ⁄ 419

.8

5.81

13.9

4.

281.

551.

757.

651.

13

L5×

31 ⁄ 2×5 ⁄ 8

11 ⁄ 816

.8

4.92

12.0

3.

651.

561.

706.

551.

06

L5×

31 ⁄ 2×1 ⁄ 2

113

.6

4.00

9.9

92.

991.

581.

665.

381.

00

L5×

31 ⁄ 2×3 ⁄ 8

7 ⁄ 810

.4

3.05

7.7

82.

291.

601.

614.

140.

938

L5×

31 ⁄ 2×5 ⁄ 1

613

⁄ 16 8

.70

2.56

6.6

01.

941.

611.

593.

490.

906

L5×

31 ⁄ 2×1 ⁄ 4

3 ⁄ 4 7

.00

2.06

5.3

91.

571.

621.

562.

830.

875

L5×3

×1 ⁄ 21

12.8

3.

75 9

.45

2.91

1.59

1.75

5.16

1.25

L

5×3×

7 ⁄ 16

15⁄ 16

11.3

3.

31 8

.43

2.58

1.60

1.73

4.57

1.22

L

5×3×

3 ⁄ 87 ⁄ 8

9.8

02.

86 7

.37

2.24

1.61

1.70

3.97

1.19

L

5×3×

5 ⁄ 16

13⁄ 16

8.2

02.

40 6

.26

1.89

1.61

1.68

3.36

1.16

L

5×3×

1 ⁄ 43 ⁄ 4

6.6

01.

94 5

.11

1.53

1.62

1.66

2.72

1.13

L4×4

×3 ⁄ 411 ⁄ 8

18.5

5.

44 7

.67

2.81

1.19

1.27

5.07

0.68

0L

5×3×

5 ⁄ 81

15.7

4.

61 6

.66

2.40

1.20

1.23

4.33

0.57

6L

5×3×

1 ⁄ 27 ⁄ 8

12.8

3.

75 5

.56

1.97

1.22

1.18

3.56

0.46

9L

5×3×

7 ⁄ 16

13⁄ 16

11.3

3.

31 4

.97

1.75

1.23

1.16

3.16

0.41

4L

5×3×

3 ⁄ 83 ⁄ 4

9.8

02.

86 4

.36

1.52

1.23

1.14

2.74

0.35

7L

5×3×

5 ⁄ 16

11⁄ 16

8.2

02.

40 3

.71

1.29

1.24

1.12

2.32

0.30

0L

5×3×

1 ⁄ 45 ⁄ 8

6.6

01.

94 3

.04

1.05

1.25

1.09

1.88

0.24

2

L4×3

1 ⁄ 2×1 ⁄ 2

15⁄ 16

11.9

3.

50 5

.32

1.94

1.23

1.25

3.50

0.50

0L

4×31 ⁄ 2

×3 ⁄ 813

⁄ 16 9

.10

2.67

4.1

81.

491.

251.

212.

710.

438

L4×

31 ⁄ 2×5 ⁄ 1

63 ⁄ 4

7.7

02.

25 3

.56

1.26

1.26

1.18

2.29

0.40

6L

4×31 ⁄ 2

×1 ⁄ 411

⁄ 16 6

.20

1.81

2.9

11.

031.

271.

161.

860.

375

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

60D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

s

Axi

s Y

-YA

xis

Z-Z

IS

rx

Zx p

rTa

n ααin

.in

.4in

.3in

.in

.in

.3in

.in

.

L5×3

1 ⁄ 2×3 ⁄ 4

5.55

2.22

0.

977

0.99

64.

100.

581

0.74

80.

464

L5×

31 ⁄ 2×5 ⁄ 8

4.83

1.90

0.

991

0.95

13.

470.

492

0.75

10.

472

L5×

31 ⁄ 2×1 ⁄ 2

4.05

1.56

1.

01

0.90

62.

830.

400

0.75

50.

479

L5×

31 ⁄ 2×3 ⁄ 8

3.18

1.21

1.

02

0.86

12.

160.

305

0.76

20.

486

L5×

31 ⁄ 2×5 ⁄ 1

62.

721.

02

1.03

0.

838

1.82

0.25

60.

766

0.48

9L

5×31 ⁄ 2

×1 ⁄ 42.

230.

830

1.04

0.

814

1.47

0.20

60.

770

0.49

2

L5×3

×1 ⁄ 22.

581.

15

0.82

90.

750

2.11

0.37

50.

648

0.35

7L

5×3×

7 ⁄ 16

2.32

1.02

0.

837

0.72

71.

860.

331

0.65

10.

361

L5×

3×3 ⁄ 8

2.04

0.88

80.

845

0.70

41.

600.

286

0.65

40.

364

L5×

3×5 ⁄ 1

61.

750.

753

0.85

30.

681

1.35

0.24

00.

658

0.36

8L

5×3×

1 ⁄ 41.

440.

614

0.86

10.

657

1.09

0.19

40.

663

0.37

1

L4×4

×3 ⁄ 47.

672.

81

1.19

1.

27

5.07

0.68

00.

778

1.00

0L

5×3×

5 ⁄ 86.

662.

40

1.20

1.

23

4.33

0.57

60.

779

1.00

0L

5×3×

1 ⁄ 25.

561.

97

1.22

1.

18

3.56

0.46

90.

782

1.00

0L

5×3×

7 ⁄ 16

4.97

1.75

1.

23

1.16

3.

160.

414

0.78

51.

000

L5×

3×3 ⁄ 8

4.36

1.52

1.

23

1.14

2.

740.

357

0.78

81.

000

L5×

3×5 ⁄ 1

63.

711.

29

1.24

1.

12

2.32

0.30

00.

791

1.00

0L

5×3×

1 ⁄ 43.

041.

05

1.25

1.

09

1.88

0.24

20.

795

1.00

0

L4×3

1 ⁄ 2×1 ⁄ 2

3.79

1.52

1.

04

1.00

2.

730.

438

0.72

20.

750

4×31 ⁄ 2

×3 ⁄ 82.

951.

16

1.06

0.

955

2.11

0.33

40.

727

0.75

54×

31 ⁄ 2×5 ⁄ 1

62.

550.

994

1.07

0.

932

1.78

0.28

10.

730

0.75

74×

31 ⁄ 2×1 ⁄ 4

2.09

0.80

81.

07

0.90

91.

440.

227

0.73

40.

759

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

61

Page 19: Structural Shapes

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

sk

Wei

gh

tp

er ftA

rea

Axi

s X

-X

IS

ry

Zy p

in.

in.

lbin

.in

.2in

.4in

.3in

.in

.3in

.

L4×3

×5 ⁄ 811 ⁄ 1

613

.6

3.98

6.03

2.

30

1.23

1.

37

4.12

0.

813

L4×

3×1 ⁄ 2

15⁄ 16

11.1

3.

255.

05

1.89

1.

25

1.33

3.

41

0.75

0L

4×3×

7 ⁄ 16

7 ⁄ 8 9

.80

2.87

4.52

1.

68

1.25

1.

30

3.03

0.

719

L4×

3×3 ⁄ 8

13⁄ 16

8.5

02.

483.

96

1.46

1.

26

1.28

2.

64

0.68

8L

4×3×

5 ⁄ 16

3 ⁄ 4 7

.20

2.09

3.38

1.

23

1.27

1.

26

2.23

0.

656

L4×

3×1 ⁄ 4

11⁄ 16

5.8

01.

692.

77

1.00

1.

28

1.24

1.

82

0.62

5

L31 ⁄ 2

×31 ⁄ 2

×1 ⁄ 27 ⁄ 8

11.1

3.

253.

64

1.49

1.

06

1.06

2.

68

0.46

4L

31 ⁄ 2×3

1 ⁄ 2×7 ⁄ 1

613

⁄ 16 9

.80

2.87

3.26

1.

32

1.07

1.

04

2.38

0.

410

L31 ⁄ 2

×31 ⁄ 2

×3 ⁄ 83 ⁄ 4

8.5

02.

482.

87

1.15

1.

07

1.01

2.

08

0.35

5L

31 ⁄ 2×3

1 ⁄ 2×5 ⁄ 1

611

⁄ 16 7

.20

2.09

2.45

0.

976

1.08

0.

990

1.76

0.

299

L31 ⁄ 2

×31 ⁄ 2

×1 ⁄ 45 ⁄ 8

5.8

01.

692.

01

0.79

41.

09

0.96

81.

43

0.24

1

L31 ⁄ 2

×3×1 ⁄ 2

15⁄ 16

10.2

3.

003.

45

1.45

1.

07

1.13

2.

63

0.50

0L

31 ⁄ 2×3

×3 ⁄ 813

⁄ 16 7

.90

2.30

2.72

1.

13

1.09

1.

08

2.04

0.

438

L31 ⁄ 2

×3×5 ⁄ 1

63 ⁄ 4

6.6

01.

932.

33

0.95

41.

10

1.06

1.

73

0.40

6L

31 ⁄ 2×3

×1 ⁄ 411

⁄ 16 5

.40

1.56

1.91

0.

776

1.11

1.

04

1.41

0.

375

L31 ⁄ 2

×21 ⁄ 2

×1 ⁄ 215

⁄ 16 9

.40

2.75

3.24

1.

41

1.09

1.

20

2.53

0.

750

L31 ⁄ 2

×31 ⁄ 2

×3 ⁄ 813

⁄ 16 7

.20

2.11

2.56

1.

09

1.10

1.

16

1.97

0.

688

L31 ⁄ 2

×31 ⁄ 2

×1 ⁄ 411

⁄ 16 4

.90

1.44

1.80

0.

755

1.12

1.

11

1.36

0.

625

L3×3

×1 ⁄ 213

⁄ 16 9

.40

2.75

2.22

1.

07

0.89

80.

932

1.93

0.

458

L4×

3×7 ⁄ 1

63 ⁄ 4

8.3

02.

431.

99

0.95

40.

905

0.91

01.

72

0.40

6L

4×3×

3 ⁄ 811

⁄ 16 7

.20

2.11

1.76

0.

833

0.91

30.

888

1.50

0.

352

L4×

3×5 ⁄ 1

65 ⁄ 8

6.1

01.

781.

51

0.70

70.

922

0.86

51.

27

0.29

6L

4×3×

1 ⁄ 49 ⁄ 1

6 4

.90

1.44

1.24

0.

577

0.93

00.

842

1.04

0.

240

L4×

3×3 ⁄ 1

61 ⁄ 2

3.7

11.

090.

962

0.44

10.

939

0.82

00.

794

0.18

2

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

62D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

s

Axi

s Y

-YA

xis

Z-Z

IS

rx

Zx p

rTa

n ααin

.in

.4in

.3in

.in

.in

.3in

.in

.

L4×3

×5 ⁄ 82.

87

1.35

0.

849

0.87

12.

48

0.49

80.

637

0.53

4L

4×3×

1 ⁄ 22.

42

1.12

0.

864

0.82

72.

03

0.40

60.

639

0.54

3L

4×3×

7 ⁄ 16

2.18

0.

992

0.87

10.

804

1.79

0.

359

0.64

10.

547

L4×

3×3 ⁄ 8

1.92

0.

866

0.87

90.

782

1.56

0.

311

0.64

40.

551

L4×

3×5 ⁄ 1

61.

65

0.73

40.

887

0.75

91.

31

0.26

10.

647

0.55

4L

4×3×

1 ⁄ 41.

36

0.59

90.

896

0.73

61.

06

0.21

10.

651

0.55

8

L31 ⁄ 2

×31 ⁄ 2

×1 ⁄ 23.

64

1.49

1.

06

1.06

2.

68

0.46

40.

683

1.00

0L

31 ⁄ 2×3

1 ⁄ 2×7 ⁄ 1

63.

26

1.32

1.

07

1.04

2.

38

0.41

00.

684

1.00

0L

31 ⁄ 2×3

1 ⁄ 2×3 ⁄ 8

2.87

1.

15

1.07

1.

01

2.08

0.

355

0.68

71.

000

L31 ⁄ 2

×31 ⁄ 2

×5 ⁄ 16

2.45

0.

976

1.08

0.

990

1.76

0.

299

0.69

01.

000

L31 ⁄ 2

×31 ⁄ 2

×1 ⁄ 42.

01

0.79

41.

09

0.96

81.

43

0.24

10.

694

1.00

0

L31 ⁄ 2

×3×1 ⁄ 2

2.33

1.

10

0.88

10.

875

1.98

0.

429

0.62

10.

714

L31 ⁄ 2

×3×3 ⁄ 8

1.85

0.

851

0.89

70.

830

1.53

0.

328

0.62

50.

721

L31 ⁄ 2

×3×5 ⁄ 1

61.

58

0.72

20.

905

0.80

81.

30

0.27

60.

627

0.72

4L

31 ⁄ 2×3

×1 ⁄ 41.

30

0.58

90.

914

0.78

51.

05

0.22

30.

631

0.72

7

L31 ⁄ 2

×21 ⁄ 2

×1 ⁄ 21.

36

0.76

00.

704

0.70

51.

40

0.39

30.

534

0.48

6L

31 ⁄ 2×3

1 ⁄ 2×3 ⁄ 8

1.09

0.

592

0.71

90.

660

1.07

0.

301

0.53

70.

496

L31 ⁄ 2

×31 ⁄ 2

×1 ⁄ 40.

777

0.41

20.

735

0.61

40.

735

0.20

50.

544

0.50

6

L3×3

×1 ⁄ 22.

22

1.07

0.

898

0.93

21.

93

0.45

80.

584

1.00

0L

3×3×

7 ⁄ 16

1.99

0.

954

0.90

50.

910

1.72

0.

406

0.58

51.

000

L3×

3×3 ⁄ 8

1.76

0.

833

0.91

30.

888

1.50

0.

352

0.58

71.

000

L3×

3×5 ⁄ 1

61.

51

0.70

70.

922

0.86

51.

27

0.29

60.

589

1.00

0L

3×3×

1 ⁄ 41.

24

0.57

70.

930

0.84

21.

04

0.24

00.

592

1.00

0L

3×3×

3 ⁄ 16

0.96

20.

441

0.93

90.

820

0.79

40.

182

0.59

61.

000

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

63

Page 20: Structural Shapes

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

sk

Wei

gh

tp

er ftA

rea

Axi

s X

-X

IS

ry

Zy p

in.

in.

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L3×2

1 ⁄ 2×1 ⁄ 2

7 ⁄ 88.

502.

50

2.08

1.

04

0.91

31.

000

1.88

0.

500

L3×

21 ⁄ 2×3 ⁄ 8

3 ⁄ 46.

601.

92

1.66

0.

810

0.92

80.

956

1.47

0.

438

L3×

21 ⁄ 2×5 ⁄ 1

611

⁄ 165.

601.

62

1.42

0.

688

0.93

70.

933

1.25

0.

406

L3×

21 ⁄ 2×1 ⁄ 4

5 ⁄ 84.

501.

31

1.17

0.

561

0.94

50.

911

1.02

0.

375

L3×

21 ⁄ 2×3 ⁄ 1

69 ⁄ 1

63.

390.

996

0.90

70.

430

0.95

40.

888

0.78

10.

344

L3×2

×1 ⁄ 213

⁄ 167.

702.

25

1.92

1.

00

0.92

41.

08

1.78

0.

750

L3×

2×3 ⁄ 8

11⁄ 16

5.90

1.73

1.

53

0.78

10.

940

1.04

1.

40

0.68

8L

3×2×

5 ⁄ 16

5 ⁄ 85.

001.

46

1.32

0.

664

0.94

81.

02

1.19

0.

656

L3×

2×1 ⁄ 4

9 ⁄ 16

4.10

1.19

1.

09

0.54

20.

957

0.99

30.

973

0.62

5L

3×2×

3 ⁄ 16

1 ⁄ 23.

070.

902

0.84

20.

415

0.96

60.

970

0.74

60.

594

L21 ⁄ 2

×21 ⁄ 2

×1 ⁄ 213

⁄ 167.

702.

25

1.23

0.

724

0.73

90.

806

1.31

0.

450

L21 ⁄ 2

×21 ⁄ 2

×3 ⁄ 811

⁄ 165.

901.

73

0.98

40.

566

0.75

30.

762

1.02

0.

347

L21 ⁄ 2

×21 ⁄ 2

×5 ⁄ 16

5 ⁄ 85.

001.

46

0.84

90.

482

0.76

10.

740

0.86

90.

293

L21 ⁄ 2

×21 ⁄ 2

×1 ⁄ 49 ⁄ 1

64.

101.

19

0.70

30.

394

0.76

90.

717

0.71

10.

238

L21 ⁄ 2

×21 ⁄ 2

×3 ⁄ 16

1 ⁄ 23.

070.

902

0.54

70.

303

0.77

80.

694

0.54

50.

180

L21 ⁄ 2

×2×3 ⁄ 8

11⁄ 16

5.30

1.55

0.

912

0.54

70.

768

0.83

10.

986

0.43

8L

21 ⁄ 2×2

×5 ⁄ 16

5 ⁄ 84.

501.

31

0.78

80.

466

0.77

60.

809

0.84

30.

406

L21 ⁄ 2

×2×1 ⁄ 4

9 ⁄ 16

3.62

1.06

0.

654

0.38

10.

784

0.78

70.

691

0.37

5L

21 ⁄ 2×2

×3 ⁄ 16

1 ⁄ 22.

750.

809

0.50

90.

293

0.79

30.

764

0.53

20.

344

L2×2

×3 ⁄ 811

⁄ 164.

701.

36

0.47

90.

351

0.59

40.

636

0.63

30.

340

L2×

2×5 ⁄ 1

65 ⁄ 8

3.92

1.15

0.

416

0.30

00.

601

0.61

40.

541

0.28

8L

2×2×

1 ⁄ 49 ⁄ 1

63.

190.

938

0.34

80.

247

0.60

90.

592

0.44

50.

234

L2×

2×3 ⁄ 1

61 ⁄ 2

2.44

0.71

50.

272

0.19

00.

617

0.56

90.

343

0.17

9L

2×2×

1 ⁄ 87 ⁄ 1

61.

650.

484

0.19

00.

131

0.62

60.

546

0.23

50.

121

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

64D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

AN

GLE

SE

qual

legs

and

une

qual

legs

Pro

pert

ies

for

desi

gnin

g

Siz

ean

dT

hic

knes

s

Axi

s Y

-YA

xis

Z-Z

IS

rx

Zx p

rTa

n ααin

.in

.4in

.3in

.in

.in

.3in

.in

.

L3×2

1 ⁄ 2×1 ⁄ 2

1.30

0.

744

0.72

20.

750

1.35

0.

417

0.52

00.

667

L3×

21 ⁄ 2×3 ⁄ 8

1.04

0.

581

0.73

60.

706

1.05

0.

320

0.52

20.

676

L3×

21 ⁄ 2×5 ⁄ 1

60.

898

0.49

40.

744

0.68

30.

889

0.27

00.

525

0.68

0L

3×21 ⁄ 2

×1 ⁄ 40.

743

0.40

40.

753

0.66

10.

724

0.21

90.

528

0.68

4L

3×21 ⁄ 2

×3 ⁄ 16

0.57

70.

310

0.76

10.

638

0.55

30.

166

0.53

30.

688

L3×2

×1 ⁄ 20.

672

0.47

40.

546

0.58

30.

891

0.37

50.

428

0.41

4L

3×2×

3 ⁄ 80.

543

0.37

10.

559

0.53

90.

684

0.28

90.

430

0.42

8L

3×2×

5 ⁄ 16

0.47

00.

317

0.56

70.

516

0.57

70.

244

0.43

20.

435

L3×

2×1 ⁄ 4

0.39

20.

260

0.57

40.

493

0.46

80.

198

0.43

50.

440

L3×

2×3 ⁄ 1

60.

307

0.20

00.

583

0.47

00.

357

0.15

00.

439

0.44

6

L21 ⁄ 2

×21 ⁄ 2

×1 ⁄ 21.

23

0.72

40.

739

0.80

61.

31

0.45

00.

487

1.00

0L

21 ⁄ 2×2

1 ⁄ 2×3 ⁄ 8

0.98

40.

566

0.75

30.

762

1.02

0.

347

0.48

71.

000

L21 ⁄ 2

×21 ⁄ 2

×5 ⁄ 16

0.84

90.

482

0.76

10.

740

0.86

90.

293

0.48

91.

000

L21 ⁄ 2

×21 ⁄ 2

×1 ⁄ 40.

703

0.39

40.

769

0.71

70.

711

0.23

80.

491

1.00

0L

21 ⁄ 2×2

1 ⁄ 2×3 ⁄ 1

60.

547

0.30

30.

778

0.69

40.

545

0.18

00.

495

1.00

0

L21 ⁄ 2

×2×3 ⁄ 8

0.51

40.

363

0.57

70.

581

0.66

00.

309

0.42

00.

614

L21 ⁄ 2

×2×5 ⁄ 1

60.

446

0.31

00.

584

0.55

90.

561

0.26

20.

422

0.62

0L

21 ⁄ 2×2

×1 ⁄ 40.

372

0.25

40.

592

0.53

70.

457

0.21

30.

424

0.62

6L

21 ⁄ 2×2

×3 ⁄ 16

0.29

10.

196

0.60

00.

514

0.35

00.

162

0.42

70.

631

L2×2

×3 ⁄ 80.

479

0.35

10.

594

0.63

60.

633

0.34

00.

389

1.00

0L

3×2×

5 ⁄ 16

0.41

60.

300

0.60

10.

614

0.54

10.

288

0.39

01.

000

L3×

2×1 ⁄ 4

0.34

80.

247

0.60

90.

592

0.44

50.

234

0.39

11.

000

L3×

2×3 ⁄ 1

60.

272

0.19

00.

617

0.56

90.

343

0.17

90.

394

1.00

0L

3×2×

1 ⁄ 80.

190

0.13

10.

626

0.54

60.

235

0.12

10.

398

1.00

0

XX

Y YZ

Z

y, y

k

xx

p

p

α

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L S

HA

PES

1 -

65

Page 21: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sD

imen

sion

s

Des

igna

tion

Are

a

Dep

th o

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kT

hic

knes

st w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

WT

22×1

67.5

49.

122

.010

221.

020

11 ⁄ 2

22.5

15.9

5015

3 ⁄ 41.

770

13 ⁄ 429 ⁄ 1

6

WT

22×1

45 4

2.9

21.8

1021

13⁄ 16

0.87

07 ⁄ 8

7 ⁄ 16

19.0

15.8

3015

7 ⁄ 81.

580

19 ⁄ 16

23 ⁄ 8W

T22

×131

38.

621

.655

2111

⁄ 160.

790

13⁄ 16

3 ⁄ 817

.115

.750

153 ⁄ 4

1.42

017 ⁄ 1

623 ⁄ 1

6

WT

22×1

15 3

3.8

21.4

5521

7 ⁄ 16

0.71

011

⁄ 163 ⁄ 8

15.2

15.7

5015

3 ⁄ 41.

220

11 ⁄ 42

WT

20×2

96.5

87.

021

.495

211 ⁄ 2

1.79

0113

⁄ 161

38.5

16.6

9016

3 ⁄ 43.

230

31 ⁄ 447 ⁄ 1

6

WT

22×2

51.5

74.

021

.025

211.

540

19 ⁄ 16

3 ⁄ 432

.416

.420

167 ⁄ 1

62.

760

23 ⁄ 4315

⁄ 16W

T22

×215

.5 6

3.4

20.6

3020

5 ⁄ 81.

340

15 ⁄ 16

11⁄ 16

27.6

16.2

2016

1 ⁄ 42.

360

23 ⁄ 839 ⁄ 1

6

WT

22×1

86 5

4.7

20.3

1520

5 ⁄ 16

1.16

013 ⁄ 1

69 ⁄ 1

623

.616

.060

161 ⁄ 1

62.

050

21 ⁄ 16

31 ⁄ 4W

T22

×160

.5 4

7.0

20.0

4020

1.00

01

1 ⁄ 220

.015

.910

157 ⁄ 8

1.77

013 ⁄ 4

215⁄ 16

WT

22×1

48.5

43.

719

.920

1915

⁄ 160.

930

15⁄ 16

1 ⁄ 218

.515

.825

157 ⁄ 8

1.65

015 ⁄ 8

31 ⁄ 16

WT

22×1

38.5

40.

719

.845

197 ⁄ 8

0.83

013

⁄ 167 ⁄ 1

616

.515

.830

157 ⁄ 8

1.57

519 ⁄ 1

623 ⁄ 4

WT

22×1

24.5

36.

719

.690

1911

⁄ 160.

750

3 ⁄ 43 ⁄ 8

14.8

15.7

5015

3 ⁄ 41.

420

17 ⁄ 16

25 ⁄ 8W

T22

×107

.5 3

1.7

19.4

9019

1 ⁄ 20.

650

5 ⁄ 85 ⁄ 1

612

.715

.750

153 ⁄ 4

1.22

011 ⁄ 4

23 ⁄ 8W

T22

×99.

5 2

9.2

19.3

3519

5 ⁄ 16

0.65

05 ⁄ 8

5 ⁄ 16

12.6

15.7

5015

3 ⁄ 41.

065

11 ⁄ 16

21 ⁄ 4W

T22

×87

25.

519

.100

191 ⁄ 8

0.65

05 ⁄ 8

5 ⁄ 16

12.4

15.7

5015

3 ⁄ 40.

830

13⁄ 16

2

WT

20×2

33 6

8.4

21.2

2021

3 ⁄ 16

1.67

111

⁄ 1613

⁄ 1635

.412

.640

125 ⁄ 8

2.95

0215

⁄ 1641 ⁄ 8

WT

22×1

96 5

7.7

20.7

8520

3 ⁄ 41.

42

17 ⁄ 16

11⁄ 16

29.5

12.3

6012

3 ⁄ 82.

520

21 ⁄ 2311

⁄ 16W

T22

×165

.5 4

8.8

20.3

9520

3 ⁄ 81.

22

11 ⁄ 45 ⁄ 8

24.9

12.1

7012

3 ⁄ 16

2.13

021 ⁄ 8

35 ⁄ 16

WT

22×1

39 4

0.9

20.0

8020

1 ⁄ 81.

02

11 ⁄ 2

20.5

11.9

7012

1.81

0113

⁄ 163

WT

22×1

32 3

8.8

20.0

0020

0.96

01

1 ⁄ 219

.211

.930

121.

730

13 ⁄ 4215

⁄ 16W

T22

×117

.5 3

4.5

19.8

4519

7 ⁄ 80.

830

13⁄ 16

7 ⁄ 16

16.5

11.8

9011

7 ⁄ 81.

575

17 ⁄ 16

23 ⁄ 4W

T22

×105

.5 3

1.0

19.6

8519

11⁄ 16

0.75

03 ⁄ 4

3 ⁄ 814

.811

.810

113 ⁄ 4

1.41

519 ⁄ 1

625 ⁄ 8

WT

22×9

1.5

26.

919

.490

191 ⁄ 2

0.65

05 ⁄ 8

5 ⁄ 16

12.7

11.8

1011

3 ⁄ 41.

220

11 ⁄ 423 ⁄ 8

WT

22×8

3.5

24.

619

.295

195 ⁄ 1

60.

650

5 ⁄ 85 ⁄ 1

612

.511

.810

113 ⁄ 4

1.02

51

23 ⁄ 16

WT

22×7

4.5

21.

919

.100

191 ⁄ 8

0.63

05 ⁄ 8

5 ⁄ 16

12.0

11.8

1011

3 ⁄ 40.

830

13⁄ 16

2

WT

18×4

2412

5

21.2

2521

1 ⁄ 42.

520

21 ⁄ 211 ⁄ 4

53.5

18.1

3018

1 ⁄ 84.

530

41 ⁄ 2511

⁄ 16W

T22

×399

117

20

.985

212.

380

23 ⁄ 813 ⁄ 1

649

.917

.990

184.

290

45 ⁄ 16

57 ⁄ 16

WT

22×3

25 9

5.0

20.2

3520

1 ⁄ 41.

970

21

39.9

17.5

7517

5 ⁄ 83.

540

39 ⁄ 16

411⁄ 16

WT

22×2

63.5

77.

019

.605

195 ⁄ 8

1.61

015 ⁄ 8

13⁄ 16

31.6

17.2

2017

1 ⁄ 42.

910

215⁄ 16

41 ⁄ 16

WT

22×2

19.5

64.

019

.130

191 ⁄ 8

1.36

013 ⁄ 8

11⁄ 16

26.0

16.9

6517

2.44

027 ⁄ 1

639 ⁄ 1

6

WT

22×1

96.5

57.

518

.900

187 ⁄ 8

1.22

011 ⁄ 4

5 ⁄ 823

.116

.830

167 ⁄ 8

2.20

023 ⁄ 1

635 ⁄ 1

6

WT

22×1

79.5

52.

718

.700

1811

⁄ 161.

120

11 ⁄ 89 ⁄ 1

620

.916

.730

163 ⁄ 4

2.01

02

31 ⁄ 8W

T22

×164

48.

218

.545

189 ⁄ 1

61.

020

11 ⁄ 2

18.9

16.6

3016

5 ⁄ 81.

850

17 ⁄ 83

WT

22×1

50 4

4.1

18.3

7018

3 ⁄ 80.

945

15⁄ 16

1 ⁄ 217

.416

.655

165 ⁄ 8

1.68

0111

⁄ 16213

⁄ 16W

T22

×140

41.

218

.260

181 ⁄ 4

0.88

57 ⁄ 8

7 ⁄ 16

16.2

16.5

9516

5 ⁄ 81.

570

19 ⁄ 16

211⁄ 16

WT

22×1

30 3

8.2

18.1

3018

1 ⁄ 80.

840

13⁄ 16

7 ⁄ 16

15.2

16.5

5016

1 ⁄ 21.

440

17 ⁄ 16

29 ⁄ 16

WT

22×1

22.5

36.

018

.040

180.

800

13⁄ 16

7 ⁄ 16

14.4

16.5

1016

1 ⁄ 21.

350

13 ⁄ 821 ⁄ 2

WT

22×1

15 3

3.8

17.9

5018

0.76

03 ⁄ 4

3 ⁄ 813

.616

.470

161 ⁄ 2

1.26

011 ⁄ 4

23 ⁄ 8

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

68D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sP

rope

rtie

s

No

m-

inal

Wt.

per ft

h t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

F y, k

si

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

167.

519

.121

6013

1

6.63

5.51

233

1.54

6

00 7

5.3

3.50

118

0.

982

0.81

714

5

22.3

1840

111

6.

555.

2719

71.

35

524

66.

13.

4910

3

0.83

30.

636

131

24

.616

5010

0

6.53

5.20

177

1.23

4

63 5

8.8

3.46

91.

40.

732

0.53

211

5

27.4

1440

88.6

6.53

5.17

157

1.07

3

98 5

0.5

3.43

78.

40.

608

0.43

8

296.

5 9

.533

0020

9

6.16

5.67

379

2.61

12

6015

1

3.81

240

—25

1.5

11.1

2730

175

6.

075.

3931

52.

25

1020

125

3.

7219

7

——

215.

512

.822

9014

8

6.01

5.18

266

1.95

8

4310

4

3.65

164

—18

6

14.7

1930

126

5.

954.

9722

51.

70

710

88.

53.

6013

9

——

160.

517

.116

3010

7

5.89

4.79

191

1.48

5

96 7

4.9

3.56

117

0.89

514

8.5

18.4

1500

98.

95.

874.

7117

61.

38

546

69.

13.

5410

8

0.98

90.

825

138.

520

.613

60 8

8.6

5.78

4.51

157

1.28

5

22 6

5.9

3.58

102

0.

882

0.69

912

4.5

22.8

1210

79.

35.

754.

4114

01.

16

463

58.

83.

56 9

1.0

0.78

20.

580

107.

526

.310

30 6

8.0

5.72

4.28

120

1.00

3

98 5

0.5

3.55

77.

90.

618

0.44

5 9

9.5

26.3

987

66.

45.

814.

4811

70.

927

347

44.

13.

45 6

8.3

0.62

80.

452

87

26

.3 9

07 6

3.8

5.96

4.87

114

0.81

1 2

71 3

4.4

3.26

53.

80.

643

0.46

3

233

10

.227

7018

5

6.36

6.22

333

2.71

5

04 7

9.8

2.72

131

—19

6

12.0

2270

153

6.

285.

9527

62.

33

401

65.

02.

6410

6

——

165.

514

.018

8012

8

6.21

5.74

231

2.01

3

23 5

3.1

2.57

86.

2—

—13

9

16.8

1540

106

6.

145.

5019

01.

71

261

43.

62.

52 7

0.0

—0.

913

132

17

.814

50 9

9.3

6.11

5.40

178

1.63

2

46 4

1.3

2.52

66.

2—

0.85

511

7.5

20.6

1260

85.

66.

045.

1715

31.

45

222

37.

32.

54 5

9.2

0.88

20.

699

105.

522

.811

20 7

6.7

6.01

5.08

137

1.31

1

95 3

3.0

2.51

52.

30.

782

0.58

1 9

1.5

26.3

957

65.

85.

974.

9411

71.

14

168

28.

52.

50 4

4.8

0.61

80.

445

83.

526

.3 8

98 6

3.7

6.05

5.20

115

1.04

1

41 2

3.9

2.40

38.

00.

630

0.45

4 7

4.5

27.1

815

59.

76.

105.

4511

91.

82

115

19.

42.

29 3

1.1

0.60

40.

435

424

6

.342

5027

7

5.84

5.86

515

3.43

22

7025

1

4.27

399

—39

9

6.6

3920

257

5.

795.

7247

83.

25

2100

234

4.

2437

1

——

325

8

.030

2020

2

5.64

5.29

373

2.70

16

1018

4

4.12

290

—26

3.5

9.8

2330

159

5.

504.

8929

02.

24

1240

145

4.

0222

7

——

219.

511

.618

8013

0

5.42

4.63

235

1.89

9

9711

7

3.95

184

—19

6.5

12.9

1660

115

5.

374.

4620

71.

71

877

104

3.

9016

2

——

179.

514

.115

0010

4

5.33

4.33

187

1.58

7

86 9

4.0

3.86

146

—16

4

15.4

1350

94.

15.

294.

2116

81.

45

711

85.

53.

8413

2

——

150

16

.712

30 8

6.1

5.27

4.13

153

1.33

6

48 7

7.8

3.83

120

0.92

714

0

17.8

1140

80.

05.

254.

0714

21.

24

599

72.

23.

8111

2

—0.

867

130

18

.710

60 7

5.1

5.26

4.05

133

1.16

5

45 6

5.9

3.78

102

0.

981

0.81

612

2.5

19.7

995

71.

05.

264.

0312

51.

09

507

61.

43.

75 9

4.9

0.94

30.

770

115

20

.7 9

34 6

7.0

5.25

4.01

118

1.03

4

70 5

7.1

3.73

88.

10.

896

0.71

5

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

69

Page 22: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sD

imen

sion

s

Des

ign

atio

n

Are

a

Dep

th o

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kT

hic

knes

st w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

WT

18×1

2837

.718

.715

1811

⁄ 160.

960

11 ⁄ 2

18.0

12

.215

121 ⁄ 4

1.73

013 ⁄ 4

25 ⁄ 8W

T18

×116

34.1

18.5

6018

9 ⁄ 16

0.87

07 ⁄ 8

7 ⁄ 16

16.1

12

.120

121 ⁄ 8

1.57

019 ⁄ 1

621 ⁄ 2

WT

18×1

0530

.918

.345

183 ⁄ 8

0.83

013

⁄ 167 ⁄ 1

615

.2

12.1

8012

1 ⁄ 81.

360

13 ⁄ 825 ⁄ 1

6

WT

18×9

728

.518

.245

181 ⁄ 4

0.76

53 ⁄ 4

3 ⁄ 814

.0

12.1

1512

1 ⁄ 81.

260

11 ⁄ 423 ⁄ 1

6

WT

18×9

126

.818

.165

181 ⁄ 8

0.72

53 ⁄ 4

3 ⁄ 813

.2

12.0

7512

1 ⁄ 81.

180

13 ⁄ 16

21 ⁄ 8W

T18

×85

25.0

18.0

8518

1 ⁄ 80.

680

11⁄ 16

3 ⁄ 812

.3

12.0

3012

1.10

011 ⁄ 8

2W

T18

×80

23.5

18.0

0518

0.65

05 ⁄ 8

5 ⁄ 16

11.7

12

.000

121.

020

1115

⁄ 16W

T18

×75

22.1

17.9

2517

7 ⁄ 80.

625

5 ⁄ 85 ⁄ 1

611

.2

11.9

7512

0.94

015

⁄ 1617 ⁄ 8

WT

18×6

7.5

19.9

17.7

7517

3 ⁄ 40.

600

5 ⁄ 85 ⁄ 1

610

.7

11.9

5012

0.79

013

⁄ 16111

⁄ 16

WT

16.5

×177

52.1

17.7

7517

3 ⁄ 41.

160

13 ⁄ 16

5 ⁄ 820

.6

16.1

0016

1 ⁄ 82.

090

21 ⁄ 16

27 ⁄ 8W

T16

.5×1

5946

.717

.580

179 ⁄ 1

61.

040

11 ⁄ 16

9 ⁄ 16

18.3

15

.985

161.

890

17 ⁄ 8211

⁄ 16W

T16

.5×1

45.5

42.8

17.4

2017

7 ⁄ 16

0.96

01

1 ⁄ 216

.7

15.9

0515

7 ⁄ 81.

730

13 ⁄ 429 ⁄ 1

6

WT

16.5

×131

.538

.717

.265

171 ⁄ 4

0.87

07 ⁄ 8

7 ⁄ 16

15.0

15

.805

153 ⁄ 4

1.57

019 ⁄ 1

623 ⁄ 8

WT

16.5

×120

.535

.417

.090

171 ⁄ 8

0.83

013

⁄ 167 ⁄ 1

614

.2

15.8

6015

7 ⁄ 81.

400

13 ⁄ 823 ⁄ 1

6

WT

16.5

×110

.532

.516

.965

170.

775

3 ⁄ 43 ⁄ 8

13.1

15

.805

153 ⁄ 4

1.27

511 ⁄ 4

21 ⁄ 16

WT

16.5

×100

.529

.516

.840

167 ⁄ 8

0.71

511

⁄ 163 ⁄ 8

12.0

15

.745

153 ⁄ 4

1.15

011 ⁄ 8

115⁄ 16

WT

16.5

×84.

524

.816

.910

1615

⁄ 160.

670

11⁄ 16

3 ⁄ 811

.3

11.5

0011

1 ⁄ 21.

220

11 ⁄ 421 ⁄ 1

6

WT

16.5

×76

22.4

16.7

4516

3 ⁄ 40.

635

5 ⁄ 85 ⁄ 1

610

.6

11.5

6511

5 ⁄ 81.

055

11 ⁄ 16

17 ⁄ 8W

T16

.5×7

0.5

20.8

16.6

5016

5 ⁄ 80.

605

5 ⁄ 85 ⁄ 1

610

.1

11.5

3511

1 ⁄ 20.

960

15⁄ 16

13 ⁄ 4W

T16

.5×6

519

.216

.545

161 ⁄ 2

0.58

09 ⁄ 1

65 ⁄ 1

6 9

.60

11.5

1011

1 ⁄ 20.

855

7 ⁄ 8111

⁄ 16W

T16

.5×5

917

.316

.430

163 ⁄ 8

0.55

09 ⁄ 1

65 ⁄ 1

6 9

.04

11.4

8011

1 ⁄ 20.

740

3 ⁄ 419 ⁄ 1

6

WT

15×2

38.5

70.0

17.1

0517

1 ⁄ 81.

630

15 ⁄ 813

⁄ 1627

.9

15.8

6515

7 ⁄ 82.

950

333 ⁄ 4

WT

15×1

95.5

57.0

16.5

9516

5 ⁄ 81.

360

13 ⁄ 811

⁄ 1622

.6

15.5

9015

5 ⁄ 82.

440

27 ⁄ 16

31 ⁄ 4W

T15

×163

47.9

16.2

0016

3 ⁄ 16

1.14

011 ⁄ 8

9 ⁄ 16

18.5

15

.370

153 ⁄ 8

2.05

021 ⁄ 1

6213

⁄ 16W

T15

×146

42.9

16.0

0516

1.02

01

1 ⁄ 216

.3

15.2

5515

1 ⁄ 21.

850

17 ⁄ 825 ⁄ 8

WT

15×1

30.5

38.4

15.8

0515

13⁄ 16

0.93

015

⁄ 161 ⁄ 2

14.7

15

.155

151 ⁄ 8

1.65

015 ⁄ 8

27 ⁄ 16

WT

15×1

17.5

34.5

15.6

5015

5 ⁄ 80.

830

13⁄ 16

7 ⁄ 16

13.0

15

.055

151.

500

11 ⁄ 221 ⁄ 4

WT

15×1

05.5

31.0

15.4

7015

1 ⁄ 20.

775

3 ⁄ 43 ⁄ 8

12.0

15

.105

151 ⁄ 8

1.31

515 ⁄ 1

621 ⁄ 8

WT

15×9

5.5

28.1

15.3

4015

3 ⁄ 80.

710

11⁄ 16

3 ⁄ 810

.9

15.0

4015

1.18

513 ⁄ 1

6115

⁄ 16W

T15

×86.

525

.415

.220

151 ⁄ 4

0.65

55 ⁄ 8

5 ⁄ 16

9.9

714

.985

151.

065

11 ⁄ 16

17 ⁄ 8

WT

15×7

421

.715

.335

155 ⁄ 1

60.

650

5 ⁄ 85 ⁄ 1

610

.0

10.4

8010

1 ⁄ 21.

180

13 ⁄ 16

2W

T18

×66

19.4

15.1

5515

1 ⁄ 80.

615

5 ⁄ 85 ⁄ 1

6 9

.32

10.5

4510

1 ⁄ 21.

000

113 ⁄ 4

WT

18×6

218

.215

.085

151 ⁄ 8

0.58

59 ⁄ 1

65 ⁄ 1

6 8

.82

10.5

1510

1 ⁄ 20.

930

15⁄ 16

111⁄ 16

WT

18×5

817

.115

.005

150.

565

9 ⁄ 16

5 ⁄ 16

8.4

810

.495

101 ⁄ 2

0.85

07 ⁄ 8

15 ⁄ 8W

T18

×54

15.9

14.9

1514

7 ⁄ 80.

545

9 ⁄ 16

5 ⁄ 16

8.1

310

.475

101 ⁄ 2

0.76

03 ⁄ 4

19 ⁄ 16

WT

18×4

9.5

14.5

14.8

2514

7 ⁄ 80.

520

1 ⁄ 21 ⁄ 4

7.7

110

.450

101 ⁄ 2

0.67

011

⁄ 1617 ⁄ 1

6

WT

18×4

513

.214

.765

143 ⁄ 4

0.47

01 ⁄ 2

1 ⁄ 4 6

.94

10.4

0010

3 ⁄ 80.

610

9 ⁄ 16

15 ⁄ 16

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

70D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sP

rope

rtie

s

No

m-

inal

Wt.

per ft

h t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

F y, k

si

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

128

16

.912

00 8

7.4

5.66

4.92

156

1.

54

264

4

3.2

2.65

68.

6—

0.92

711

6

18.7

1080

78.

55.

634.

8214

0

1.40

23

4

38.

62.

62 6

1.0

0.99

40.

831

105

19

.6 9

85 7

3.1

5.65

4.87

131

1.

27

206

3

3.8

2.58

53.

50.

960

0.79

1 9

7

21.2

901

67.

05.

624.

8012

0

1.18

18

7

30.

92.

56 4

8.9

0.88

70.

705

91

22

.4 8

45 6

3.1

5.62

4.77

113

1.

11

174

2

8.8

2.55

45.

40.

831

0.63

5 8

5

23.9

786

58.

95.

614.

7310

5

1.04

16

0

26.

62.

53 4

1.9

0.76

70.

565

80

25

.0 7

40 5

5.8

5.61

4.74

100

0.

980

147

2

4.6

2.50

38.

60.

720

0.52

1 7

5

26.0

698

53.

15.

624.

78 9

5.5

0.92

313

5

22.

52.

47 3

5.5

0.67

70.

486

67.

527

.1 6

37 4

9.7

5.66

4.96

94.

31.

24

113

1

8.9

2.38

29.

80.

634

0.45

7

177

12

.913

20 9

6.8

5.03

4.16

174

1.

62

729

9

0.6

3.74

141

—15

9

14.4

1160

85.

84.

994.

0215

4

1.46

64

5

80.

73.

7112

5

——

145.

515

.610

50 7

8.3

4.97

3.94

140

1.

34

581

7

3.1

3.69

113

0.99

313

1.5

17.2

943

70.

24.

943.

8412

5

1.22

51

7

65.

53.

6610

1

—0.

907

120.

518

.1 8

71 6

5.8

4.96

3.85

116

1.

12

466

5

8.8

3.63

90.

9—

0.86

711

0.5

19.3

799

60.

84.

963.

8110

7

1.03

42

0

53.

23.

59 8

2.1

0.96

80.

801

100.

521

.0 7

25 5

5.5

4.95

3.78

97.

70.

938

375

4

7.6

3.56

73.

40.

896

0.71

5

84.

522

.4 6

49 5

1.1

5.12

4.21

90.

81.

08

155

2

7.0

2.50

42.

20.

827

0.63

0 7

6

23.6

592

47.

45.

144.

26 8

4.5

0.96

713

6

23.

62.

47 3

7.0

0.77

50.

574

70.

524

.8 5

52 4

4.7

5.15

4.29

79.

80.

901

123

2

1.3

2.43

33.

50.

728

0.52

9 6

5

25.8

513

42.

15.

184.

36 7

5.6

0.83

210

9

18.

92.

39 2

9.7

0.68

50.

492

59

27

.3 4

69 3

9.2

5.20

4.47

74.

80.

862

93.

6 1

6.3

2.32

25.

70.

621

0.44

7

238.

5 8

.315

5012

1

4.70

4.30

224

2.

21

987

12

4

3.75

195

—19

5.5

9.9

1210

96.

64.

614.

0417

7

1.83

77

4

99.

23.

6815

5

——

163

11

.8 9

81 7

8.9

4.53

3.76

143

1.

56

622

8

1.0

3.61

126

—14

6

13.2

861

69.

64.

483.

6312

5

1.40

54

9

71.

93.

5811

1

——

130.

514

.5 7

64 6

2.3

4.46

3.54

112

1.

27

480

6

3.3

3.54

97.

9—

—11

7.5

16.2

674

55.

14.

423.

42 9

8.2

1.15

42

7

56.

83.

52 8

7.5

—0.

952

105.

517

.4 6

10 5

0.5

4.43

3.40

89.

51.

03

378

5

0.1

3.49

77.

2—

0.89

7 9

5.5

19.0

549

45.

74.

423.

35 8

0.8

0.93

333

6

44.

73.

46 6

8.9

0.98

10.

816

86.

520

.6 4

97 4

1.7

4.42

3.31

73.

40.

848

299

3

9.9

3.43

61.

40.

913

0.73

5

74

20

.8 4

66 4

0.6

4.63

3.84

72.

21.

04

113

2

1.7

2.28

34.

00.

896

0.71

5 6

6

22.0

421

37.

44.

663.

90 6

6.8

0.92

1 9

8.0

18.

62.

25 2

9.2

0.85

30.

664

62

23

.1 3

96 3

5.3

4.66

3.90

63.

10.

867

90.

4 1

7.2

2.23

27.

00.

801

0.60

1 5

8

23.9

373

33.

74.

673.

94 6

0.4

0.81

5 8

2.1

15.

72.

19 2

4.6

0.76

70.

565

54

24

.8 3

49 3

2.0

4.69

4.01

57.

70.

757

73.

0 1

3.9

2.15

22.

00.

733

0.53

3 4

9.5

26.0

322

30.

04.

714.

09 5

7.4

0.91

2 6

3.9

12.

22.

10 1

9.3

0.68

50.

492

45

28

.7 2

91 2

7.1

4.69

4.03

49.

40.

445

57.

3 1

1.0

2.08

17.

30.

563

0.40

5

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

71

Page 23: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sD

imen

sion

s

Des

igna

tion

Are

a

Dep

th o

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kT

hic

knes

st w

t w 2W

idth

b fT

hic

knes

st f

in.2

in.

in.

in.

in.2

in.

in.

in.

WT

13.5

×269

.579

.0

16.2

6016

1 ⁄ 41.

970

21

32.0

15

.255

151 ⁄ 4

3.54

039 ⁄ 1

641 ⁄ 4

WT

13.5

×224

65.5

15

.710

1511

⁄ 161.

650

15 ⁄ 813

⁄ 1625

.9

14.9

4015

2.99

03

311⁄ 16

WT

13.5

×184

54.0

15

.195

153 ⁄ 1

61.

380

13 ⁄ 811

⁄ 1621

.0

14.6

6514

5 ⁄ 82.

480

21 ⁄ 233 ⁄ 1

6

WT

13.5

×153

.545

.1

14.8

0514

13⁄ 16

1.16

013 ⁄ 1

65 ⁄ 8

17.2

14

.445

141 ⁄ 2

2.09

021 ⁄ 1

6213

⁄ 16W

T13

.5×1

2937

.9

14.4

9014

1 ⁄ 20.

980

11 ⁄ 2

14.2

14

.270

141 ⁄ 4

1.77

013 ⁄ 4

21 ⁄ 2W

T13

.5×1

17.5

34.6

14

.330

145 ⁄ 1

60.

910

15⁄ 16

1 ⁄ 213

.0

14.1

9014

1 ⁄ 41.

610

15 ⁄ 825 ⁄ 1

6

WT

13.5

×108

.531

.9

14.2

1514

3 ⁄ 16

0.83

013

⁄ 167 ⁄ 1

611

.8

14.1

1514

1 ⁄ 81.

500

11 ⁄ 223 ⁄ 1

6

WT

13.5

×97

28.5

14

.055

141 ⁄ 1

60.

750

3 ⁄ 43 ⁄ 8

10.5

14

.035

141.

340

15 ⁄ 16

21 ⁄ 16

WT

13.5

×89

26.1

13

.905

137 ⁄ 8

0.72

53 ⁄ 4

3 ⁄ 810

.1

14.0

8514

1 ⁄ 81.

190

13 ⁄ 16

17 ⁄ 8W

T13

.5×8

0.5

23.7

13

.795

133 ⁄ 4

0.66

011

⁄ 163 ⁄ 8

9.1

014

.020

141.

080

11 ⁄ 16

113⁄ 16

WT

13.5

×73

21.5

13

.690

133 ⁄ 4

0.60

55 ⁄ 8

5 ⁄ 16

8.2

813

.965

140.

975

1111

⁄ 16

WT

13.5

×64.

518

.9

13.8

1513

13⁄ 16

0.61

05 ⁄ 8

5 ⁄ 16

8.4

310

.010

101.

100

11 ⁄ 8113

⁄ 16W

T13

.5×5

716

.8

13.6

4513

5 ⁄ 80.

570

9 ⁄ 16

5 ⁄ 16

7.7

810

.070

101 ⁄ 8

0.93

015

⁄ 1615 ⁄ 8

WT

13.5

×51

15.0

13

.545

131 ⁄ 2

0.51

51 ⁄ 2

1 ⁄ 4 6

.98

10.0

1510

0.83

013

⁄ 1619 ⁄ 1

6

WT

13.5

×47

13.8

13

.460

131 ⁄ 2

0.49

01 ⁄ 2

1 ⁄ 4 6

.60

9.9

9010

0.74

53 ⁄ 4

17 ⁄ 16

WT

13.5

×42

12.4

13

.355

133 ⁄ 8

0.46

07 ⁄ 1

61 ⁄ 4

6.1

4 9

.960

100.

640

5 ⁄ 813 ⁄ 8

WT

12×2

4672

.0

14.8

2514

13⁄ 16

1.97

02

129

.2

14.1

1514

1 ⁄ 83.

540

39 ⁄ 16

45 ⁄ 16

WT

12×2

0459

.5

14.2

7014

1 ⁄ 41.

650

15 ⁄ 813

⁄ 1623

.5

13.8

0013

3 ⁄ 42.

990

333 ⁄ 4

WT

12×1

67.5

49.2

13

.760

133 ⁄ 4

1.38

013 ⁄ 8

11⁄ 16

19.0

13

.520

131 ⁄ 2

2.48

021 ⁄ 2

31 ⁄ 4W

T12

×139

.541

.0

13.3

6513

3 ⁄ 81.

160

13 ⁄ 16

5 ⁄ 815

.5

13.3

0513

1 ⁄ 42.

090

21 ⁄ 16

27 ⁄ 8W

T12

×125

36.8

13

.170

133 ⁄ 1

61.

040

11 ⁄ 16

9 ⁄ 16

13.7

13

.185

131 ⁄ 8

1.89

017 ⁄ 8

211⁄ 16

WT

12×1

14.5

33.6

13

.010

130.

960

11 ⁄ 2

12.5

13

.110

131 ⁄ 8

1.73

013 ⁄ 4

21 ⁄ 2W

T12

×103

.530

.4

12.8

5512

7 ⁄ 80.

870

7 ⁄ 87 ⁄ 1

611

.2

13.0

1013

1.57

019 ⁄ 1

623 ⁄ 8

WT

12×9

628

.2

12.7

3512

3 ⁄ 40.

810

13⁄ 16

7 ⁄ 16

10.3

12

.950

131.

460

17 ⁄ 16

21 ⁄ 4W

T12

×88

25.8

12

.620

125 ⁄ 8

0.75

03 ⁄ 4

3 ⁄ 8 9

.47

12.8

9012

7 ⁄ 81.

340

15 ⁄ 16

21 ⁄ 8W

T12

×81

23.9

12

.500

121 ⁄ 2

0.70

511

⁄ 163 ⁄ 8

8.8

112

.955

131.

220

11 ⁄ 42

WT

12×7

321

.5

12.3

7012

3 ⁄ 80.

650

5 ⁄ 85 ⁄ 1

6 8

.04

12.9

0012

7 ⁄ 81.

090

11 ⁄ 16

17 ⁄ 8W

T12

×65.

519

.3

12.2

4012

1 ⁄ 40.

605

5 ⁄ 85 ⁄ 1

6 7

.41

12.8

5512

7 ⁄ 80.

960

15⁄ 16

13 ⁄ 4W

T12

×58.

517

.2

12.1

3012

1 ⁄ 80.

550

9 ⁄ 16

5 ⁄ 16

6.6

712

.800

123 ⁄ 4

0.85

07 ⁄ 8

15 ⁄ 8W

T12

×52

15.3

12

.030

120.

500

1 ⁄ 21 ⁄ 4

6.0

212

.750

123 ⁄ 4

0.75

03 ⁄ 4

11 ⁄ 2

WT

12×5

1.5

15.1

12

.265

121 ⁄ 4

0.55

09 ⁄ 1

65 ⁄ 1

6 6

.75

9.0

009

0.98

01

13 ⁄ 4W

T12

×47

13.8

12

.155

121 ⁄ 8

0.51

51 ⁄ 2

1 ⁄ 4 6

.26

9.0

6591 ⁄ 8

0.87

57 ⁄ 8

15 ⁄ 8W

T12

×42

12.4

12

.050

120.

470

1 ⁄ 21 ⁄ 4

5.6

6 9

.020

90.

770

3 ⁄ 419 ⁄ 1

6

WT

12×3

811

.2

11.9

6012

0.44

07 ⁄ 1

61 ⁄ 4

5.2

6 8

.990

90.

680

11⁄ 16

17 ⁄ 16

WT

12×3

410

.0

11.8

6511

7 ⁄ 80.

415

7 ⁄ 16

1 ⁄ 4 4

.92

8.9

659

0.58

59 ⁄ 1

613 ⁄ 8

WT

12×3

1 9

.11

11.8

7011

7 ⁄ 80.

430

7 ⁄ 16

1 ⁄ 4 5

.10

7.0

407

0.59

09 ⁄ 1

613 ⁄ 8

WT

12×2

7.5

8.1

011

.785

113 ⁄ 4

0.39

53 ⁄ 8

3 ⁄ 16

4.6

6 7

.005

70.

505

1 ⁄ 215 ⁄ 1

6

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

72D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sP

rope

rtie

s

No

m-

inal

Wt.

per ft

h t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

Fy,

ksi

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

269.

5 6

.215

2012

8

4.39

4.36

241

2.

59

1060

13

8

3.66

218

—22

4

7.4

1190

102

4.

274.

0219

1

2.19

8

36

112

3.

5717

6

——

184

8

.8 9

38 8

1.7

4.17

3.71

151

1.

84

655

8

9.3

3.48

140

—15

3.5

10.5

753

66.

44.

093.

4712

1

1.56

5

27

72.

9 3.

4211

3

——

129

12

.4 6

13 5

4.6

4.02

3.28

98.

81.

33

430

6

0.2

3.37

93.

3 —

—11

7.5

13.3

556

50.

04.

013.

21 8

9.8

1.22

3

84

54.

2 3.

33 8

3.8

——

108.

514

.6 5

02 4

5.2

3.97

3.11

81.

11.

13

352

4

9.9

3.32

77.

0 —

— 9

7

16.2

444

40.

33.

953.

03 7

1.8

1.02

3

09

44.

1 3.

29 6

7.9

—0.

963

89

16

.7 4

14 3

8.2

3.98

3.05

67.

60.

928

278

3

9.4

3.26

60.

8 —

0.93

7 8

0.5

18.4

372

34.

43.

962.

99 6

0.8

0.84

5 2

48

35.

4 3.

24 5

4.5

—0.

851

73

20

.0 3

36 3

1.2

3.95

2.95

55.

00.

768

222

3

1.7

3.21

48.

8 0.

938

0.76

5

64.

519

.9 3

23 3

1.0

4.13

3.39

55.

10.

945

92

.2 1

8.4

2.21

28.

8 0.

938

0.76

5 5

7

21.3

289

28.

34.

153.

42 5

0.4

0.83

3

79.4

15.

8 2.

18 2

4.7

0.88

30.

700

51

23

.5 2

58 2

5.3

4.14

3.37

45.

00.

750

69

.6 1

3.9

2.15

21.

7 0.

780

0.57

8 4

7

24.7

239

23.

84.

163.

41 4

2.4

0.69

2

62.0

12.

4 2.

12 1

9.4

0.72

80.

529

42

26

.3 2

16 2

1.9

4.18

3.48

39.

20.

621

52

.8 1

0.6

2.07

16.

6 0.

664

0.47

6

246

5

.511

3010

5

3.96

4.07

200

2.

55

837

11

9

3.41

187

—20

4

6.5

874

83.

13.

833.

7415

7

2.16

6

59

95.

5 3.

3315

0

——

167.

5 7

.8 6

85 6

6.3

3.73

3.42

123

1.

82

513

7

5.9

3.23

119

—13

9.5

9.3

546

53.

63.

653.

18 9

8.8

1.54

4

12

61.

9 3.

17 9

6.4

——

125

10

.4 4

78 4

7.2

3.61

3.05

86.

51.

39

362

5

4.9

3.14

85.

3 —

—11

4.5

11.2

431

42.

93.

582.

97 7

8.1

1.28

3

26

49.

7 3.

11 7

7.0

——

103.

512

.4 3

82 3

8.3

3.55

2.87

69.

31.

17

289

4

4.4

3.08

68.

6 —

— 9

6

13.3

350

35.

23.

532.

80 6

3.5

1.09

2

65

40.

9 3.

07 6

3.1

——

88

14

.4 3

19 3

2.2

3.51

2.74

57.

81.

00

240

3

7.2

3.04

57.

3 —

— 8

1

15.3

293

29.

93.

502.

70 5

3.3

0.92

1 2

21

34.

2 3.

05 5

2.6

——

73

16

.6 2

64 2

7.2

3.50

2.66

48.

20.

833

195

3

0.3

3.01

46.

6 —

0.94

7 6

5.5

17.8

238

24.

83.

522.

65 4

3.9

0.75

0 1

70

26.

5 2.

97 4

0.7

—0.

887

58.

519

.6 2

12 2

2.3

3.51

2.62

39.

20.

672

149

2

3.2

2.94

35.

7 0.

960

0.79

1 5

2

21.6

189

20.

03.

512.

59 3

5.1

0.60

0 1

30

20.

3 2.

91 3

1.2

0.87

40.

690

51.

519

.6 2

04 2

2.0

3.67

3.01

39.

20.

841

59

.7 1

3.3

1.99

20.

7 0.

951

0.78

1 4

7

20.9

186

20.

33.

672.

99 3

6.1

0.76

4

54.5

12.

0 1.

98 1

8.8

0.89

60.

715

42

22

.9 1

66 1

8.3

3.67

2.97

32.

50.

685

47

.2 1

0.5

1.95

16.

3 0.

810

0.61

0 3

8

24.5

151

16.

93.

683.

00 3

0.1

0.62

2

41.3

9.

181.

92 1

4.3

0.74

10.

541

34

26

.0 1

37 1

5.6

3.70

3.06

27.

90.

560

35

.2

7.85

1.87

12.

3 0.

681

0.48

9

31

25

.1 1

31 1

5.6

3.79

3.46

28.

41.

28

17

.2

4.90

1.38

7.

870.

724

0.52

5 2

7.5

27.3

117

14.

13.

803.

50 2

5.6

1.53

14.5

4.

151.

34

6.67

0.62

60.

450

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

t. E

2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

73

Page 24: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sD

imen

sion

s

Des

ign

atio

n

Are

a

Dep

th o

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kT

hic

knes

st w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

WT

10.5

×100

.529

.6

11.5

1511

1 ⁄ 20.

910

15⁄ 16

1 ⁄ 210

.5

12.5

7512

5 ⁄ 81.

630

15 ⁄ 823 ⁄ 8

WT

10.5

×91

26.8

11

.360

113 ⁄ 8

0.83

013

⁄ 167 ⁄ 1

6 9

.43

12.5

0012

1 ⁄ 21.

480

11 ⁄ 221 ⁄ 4

WT

10.5

×83

24.4

11

.240

111 ⁄ 4

0.75

03 ⁄ 4

3 ⁄ 8 8

.43

12.4

2012

3 ⁄ 81.

360

13 ⁄ 821 ⁄ 8

WT

10.5

×73.

521

.6

11.0

3011

0.72

03 ⁄ 4

3 ⁄ 8 7

.94

12.5

1012

1 ⁄ 21.

150

11 ⁄ 817 ⁄ 8

WT

10.5

×66

19.4

10

.915

107 ⁄ 8

0.65

05 ⁄ 8

5 ⁄ 16

7.0

912

.440

121 ⁄ 2

1.03

511 ⁄ 1

6113

⁄ 16W

T10

.5×6

117

.9

10.8

4010

7 ⁄ 80.

600

5 ⁄ 85 ⁄ 1

6 6

.50

12.3

9012

3 ⁄ 80.

960

15⁄ 16

111⁄ 16

WT

10.5

×55.

516

.3

10.7

5510

3 ⁄ 40.

550

9 ⁄ 16

5 ⁄ 16

5.9

212

.340

123 ⁄ 8

0.87

57 ⁄ 8

15 ⁄ 8W

T10

.5×5

0.5

14.9

10

.680

105 ⁄ 8

0.50

01 ⁄ 2

1 ⁄ 4 5

.34

12.2

9012

1 ⁄ 40.

800

13⁄ 16

19 ⁄ 16

WT

10.5

×46.

513

.7

10.8

1010

3 ⁄ 40.

580

9 ⁄ 16

5 ⁄ 16

6.2

7 8

.420

83 ⁄ 80.

930

15⁄ 16

111⁄ 16

WT

10.5

×41.

512

.2

10.7

1510

3 ⁄ 40.

515

1 ⁄ 21 ⁄ 4

5.5

2 8

.355

83 ⁄ 80.

835

13⁄ 16

19 ⁄ 16

WT

10.5

×36.

510

.7

10.6

2010

5 ⁄ 80.

455

7 ⁄ 16

1 ⁄ 4 4

.83

8.2

9581 ⁄ 4

0.74

03 ⁄ 4

11 ⁄ 2W

T10

.5×3

410

.0

10.5

6510

5 ⁄ 80.

430

7 ⁄ 16

1 ⁄ 4 4

.54

8.2

7081 ⁄ 4

0.68

511

⁄ 1617 ⁄ 1

6

WT

10.5

×31

9.1

310

.495

101 ⁄ 2

0.40

03 ⁄ 8

3 ⁄ 16

4.2

0 8

.240

81 ⁄ 40.

615

5 ⁄ 813 ⁄ 8

WT

10.5

×28.

5 8

.37

10.5

3010

1 ⁄ 20.

405

3 ⁄ 83 ⁄ 1

6 4

.26

6.5

5561 ⁄ 2

0.65

05 ⁄ 8

13 ⁄ 8W

T10

.5×2

5 7

.36

10.4

1510

3 ⁄ 80.

380

3 ⁄ 83 ⁄ 1

6 3

.96

6.5

3061 ⁄ 2

0.53

59 ⁄ 1

615 ⁄ 1

6

WT

10.5

×22

6.4

910

.330

103 ⁄ 8

0.35

03 ⁄ 8

3 ⁄ 16

3.6

2 6

.500

61 ⁄ 20.

450

7 ⁄ 16

13 ⁄ 16

WT

9×15

5.5

45.8

11

.160

113 ⁄ 1

61.

520

11 ⁄ 23 ⁄ 4

17.0

12

.005

122.

740

23 ⁄ 437 ⁄ 1

6

WT

9×14

1.5

41.6

10

.925

1015

⁄ 161.

400

13 ⁄ 811

⁄ 1615

.3

11.8

9011

7 ⁄ 82.

500

21 ⁄ 233 ⁄ 1

6

WT

9×12

938

.0

10.7

3010

3 ⁄ 41.

280

11 ⁄ 45 ⁄ 8

13.7

11

.770

113 ⁄ 4

2.30

025 ⁄ 1

63

WT

9×11

734

.4

10.5

3010

1 ⁄ 21.

160

13 ⁄ 16

5 ⁄ 812

.2

11.6

5011

5 ⁄ 82.

110

21 ⁄ 823 ⁄ 4

WT

9×10

5.5

31.1

10

.335

105 ⁄ 1

61.

060

11 ⁄ 16

9 ⁄ 16

11.0

11

.555

111 ⁄ 2

1.91

0115

⁄ 1629 ⁄ 1

6

WT

9×96

28.2

10

.175

103 ⁄ 1

60.

960

11 ⁄ 2

9.7

711

.455

111 ⁄ 2

1.75

013 ⁄ 4

27 ⁄ 16

WT

9×87

.525

.7

10.0

2010

0.89

07 ⁄ 8

7 ⁄ 16

8.9

211

.375

113 ⁄ 8

1.59

019 ⁄ 1

621 ⁄ 4

WT

9×79

23.2

9

.860

97 ⁄ 80.

810

13⁄ 16

7 ⁄ 16

7.9

911

.300

111 ⁄ 4

1.44

017 ⁄ 1

621 ⁄ 8

WT

9×71

.521

.0

9.7

4593 ⁄ 4

0.73

03 ⁄ 4

3 ⁄ 8 7

.11

11.2

2011

1 ⁄ 41.

320

15 ⁄ 16

2W

T9×

6519

.1

9.6

2595 ⁄ 8

0.67

011

⁄ 163 ⁄ 8

6.4

511

.160

111 ⁄ 8

1.20

013 ⁄ 1

617 ⁄ 8

WT

9×59

.517

.5

9.4

8591 ⁄ 2

0.65

55 ⁄ 8

5 ⁄ 16

6.2

111

.265

111 ⁄ 4

1.06

011 ⁄ 1

613 ⁄ 4

WT

9×53

15.6

9

.365

93 ⁄ 80.

590

9 ⁄ 16

5 ⁄ 16

5.5

311

.200

111 ⁄ 4

0.94

015

⁄ 1615 ⁄ 8

WT

9×48

.514

.3

9.2

9591 ⁄ 4

0.53

59 ⁄ 1

65 ⁄ 1

6 4

.97

11.1

4511

1 ⁄ 80.

870

7 ⁄ 819 ⁄ 1

6

WT

9×43

12.7

9

.195

91 ⁄ 40.

480

1 ⁄ 21 ⁄ 4

4.4

111

.090

111 ⁄ 8

0.77

03 ⁄ 4

17 ⁄ 16

WT

9×38

11.2

9

.105

91 ⁄ 80.

425

7 ⁄ 16

1 ⁄ 4 3

.87

11.0

3511

0.68

011

⁄ 1613 ⁄ 8

WT

9×35

.510

.4

9.2

3591 ⁄ 4

0.49

51 ⁄ 2

1 ⁄ 4 4

.57

7.6

3575 ⁄ 8

0.81

013

⁄ 1611 ⁄ 2

WT

9×32

.5 9

.55

9.1

7591 ⁄ 8

0.45

07 ⁄ 1

61 ⁄ 4

4.1

3 7

.590

75 ⁄ 80.

750

3 ⁄ 417 ⁄ 1

6

WT

9×30

8.8

2 9

.120

91 ⁄ 80.

415

7 ⁄ 16

1 ⁄ 4 3

.78

7.5

5571 ⁄ 2

0.69

511

⁄ 1613 ⁄ 8

WT

9×27

.5 8

.10

9.0

559

0.39

03 ⁄ 8

3 ⁄ 16

3.5

3 7

.530

71 ⁄ 20.

630

5 ⁄ 815 ⁄ 1

6

WT

9×25

7.3

3 8

.995

90.

355

3 ⁄ 83 ⁄ 1

6 3

.19

7.4

9571 ⁄ 2

0.57

09 ⁄ 1

611 ⁄ 4

WT

9×23

6.7

7 9

.030

90.

360

3 ⁄ 83 ⁄ 1

6 3

.25

6.0

606

0.60

55 ⁄ 8

11 ⁄ 4W

T9×

20 5

.88

8.9

509

0.31

55 ⁄ 1

63 ⁄ 1

6 2

.82

6.0

156

0.52

51 ⁄ 2

13 ⁄ 16

WT

9×17

.5 5

.15

8.8

5087 ⁄ 8

0.30

05 ⁄ 1

63 ⁄ 1

6 2

.66

6.0

006

0.42

57 ⁄ 1

611 ⁄ 8

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

74D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sP

rope

rtie

s

No

m-

inal

Wt.

per ft

h t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

Fy,

ksi

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

5010

0.5

10.3

285

31

.9

3.10

2.57

58.6

1.18

27

1

43.1

3.

02 6

6.6

——

91

11

.225

3

28.5

3.

072.

4852

.11.

07

241

38

.6

3.00

59.

6 —

— 8

3

12.4

226

25

.5

3.04

2.39

46.3

0.98

421

7

35.0

2.

98 5

3.9

——

73.

513

.020

4

23.7

3.

082.

3942

.40.

864

188

30

.0

2.95

46.

3 —

— 6

6

14.4

181

21

.1

3.06

2.33

37.6

0.78

016

6

26.7

2.

93 4

1.1

——

61

15

.616

6

19.3

3.

042.

2834

.30.

724

152

24

.6

2.92

37.

8 —

0.99

3 5

5.5

17.1

150

17

.5

3.03

2.23

31.0

0.66

213

7

22.2

2.

90 3

4.1

—0.

917

50.

518

.813

5

15.8

3.

012.

1827

.90.

605

124

20

.2

2.89

30.

9 0.

990

0.82

6

46.

516

.214

4

17.9

3.

252.

7431

.80.

812

46.

4 11

.0

1.84

17.

4 —

0.96

8 4

1.5

18.2

127

15

.7

3.22

2.66

28.0

0.72

8 4

0.7

9.7

51.

83 1

5.3

—0.

856

36.

520

.611

0

13.8

3.

212.

6024

.40.

647

35.

3 8

.51

1.81

13.

3 0.

908

0.73

0 3

4

21.8

103

12

.9

3.20

2.59

22.9

0.60

6 3

2.4

7.8

31.

80 1

2.2

0.85

30.

664

31

23

.5 9

3.8

11.9

3.

212.

5821

.10.

554

28.

7 6

.97

1.77

10.

9 0.

784

0.58

3

28.

523

.2 9

0.4

11.8

3.

292.

8521

.20.

638

15.

3 4

.67

1.35

7.

420.

793

0.59

2 2

5

24.7

80.

310

.7

3.30

2.93

20.8

0.77

1 1

2.5

3.8

21.

30

6.09

0.73

30.

533

22

26

.8 7

1.1

9.6

83.

312.

9817

.61.

06

10.

3 3

.18

1.26

5.

090.

638

0.46

0

155.

5 5

.338

3

46.5

2.

892.

9390

.61.

91

398

66

.2

2.95

104

—14

1.5

5.7

337

41

.5

2.85

2.80

80.1

1.75

35

2

59.2

2.

91 9

2.5

——

129

6

.329

8

37.0

2.

802.

6871

.01.

61

314

53

.4

2.88

83.

2 —

—11

7

6.9

260

32

.6

2.75

2.55

62.4

1.48

27

9

47.9

2.

85 7

4.5

——

105.

5 7

.522

9

29.0

2.

722.

4455

.01.

34

246

42

.7

2.82

66.

2 —

— 9

6

8.3

202

25

.8

2.68

2.34

48.5

1.23

22

0

38.4

2.

79 5

9.4

——

87.

5 9

.018

1

23.4

2.

662.

2643

.61.

13

196

34

.4

2.76

53.

1 —

— 7

9

9.9

160

20

.8

2.63

2.18

38.5

1.02

17

4

30.7

2.

74 4

7.4

——

71.

511

.014

2

18.5

2.

602.

0934

.00.

938

156

27

.7

2.72

42.

7 —

— 6

5

11.9

127

16

.7

2.58

2.02

30.5

0.85

613

9

24.9

2.

70 3

8.3

——

59.

512

.311

9

15.9

2.

602.

0328

.70.

778

126

22

.5

2.69

34.

6 —

— 5

3

13.6

104

14

.1

2.59

1.97

25.2

0.69

511

0

19.7

2.

66 3

0.2

——

48.

515

.0 9

3.8

12.7

2.

561.

9122

.60.

640

100

18

.0

2.65

27.

6 —

— 4

3

16.7

82.

411

.2

2.55

1.86

19.9

0.57

0 8

7.6

15.8

2.

63 2

4.2

—0.

937

38

18

.9 7

1.8

9.8

32.

541.

8017

.30.

505

76.

2 13

.8

2.61

21.

1 0.

990

0.82

6

35.

516

.2 7

8.2

11.2

2.

742.

2620

.00.

683

30.

1 7

.89

1.70

12.

3 —

0.96

3 3

2.5

17.8

70.

710

.1

2.72

2.20

18.0

0.62

9 2

7.4

7.2

21.

69 1

1.2

—0.

877

30

19

.3 6

4.7

9.2

92.

712.

1616

.50.

583

25.

0 6

.63

1.69

10.

3 0.

964

0.79

6 2

7.5

20.6

59.

5 8

.63

2.71

2.16

15.3

0.53

8 2

2.5

5.9

71.

67

9.27

0.91

30.

735

25

22

.6 5

3.5

7.7

92.

702.

1213

.80.

489

20.

0 5

.35

1.65

8.

290.

823

0.62

5

2322

.3 5

2.1

7.7

72.

772.

3313

.90.

558

11.

3 3

.72

1.29

5.

850.

831

0.63

520

25.5

44.

8 6

.73

2.76

2.29

12.0

0.48

9

9.55

3.1

71.

27

4.97

0.69

00.

496

17.5

26.8

40.

1 6

.21

2.79

2.39

12.0

0.45

0

7.67

2.5

61.

22

4.03

0.63

80.

460

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

75

Page 25: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sD

imen

sion

s

Des

igna

tion

Are

a

Dep

th o

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kT

hic

knes

st w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

WT

8×50

14.

7 8

.485

81 ⁄ 20.

585

9 ⁄ 16

5 ⁄ 16

4.9

610

.425

103 ⁄ 8

0.98

51

111⁄ 16

WT

8×44

.5 1

3.1

8.3

7583 ⁄ 8

0.52

51 ⁄ 2

1 ⁄ 4 4

.40

10.3

6510

3 ⁄ 80.

875

7 ⁄ 819 ⁄ 1

6

WT

8×38

.5 1

1.3

8.2

6081 ⁄ 4

0.45

57 ⁄ 1

61 ⁄ 4

3.7

610

.295

101 ⁄ 4

0.76

03 ⁄ 4

17 ⁄ 16

WT

8×33

.5

9.84

8.1

6581 ⁄ 8

0.39

53 ⁄ 8

3 ⁄ 16

3.2

310

.235

101 ⁄ 4

0.66

511

⁄ 1613 ⁄ 8

WT

8×28

.5

8.38

8.2

1581 ⁄ 4

0.43

07 ⁄ 1

61 ⁄ 4

3.5

3 7

.120

71 ⁄ 80.

715

11⁄ 16

13 ⁄ 8W

T8×

25

7.37

8.1

3081 ⁄ 8

0.38

03 ⁄ 8

3 ⁄ 16

3.0

9 7

.070

71 ⁄ 80.

630

5 ⁄ 815 ⁄ 1

6

WT

8×22

.5

6.63

8.0

6581 ⁄ 8

0.34

53 ⁄ 8

3 ⁄ 16

2.7

8 7

.035

70.

565

9 ⁄ 16

11 ⁄ 4W

T8×

20

5.89

8.0

058

0.30

55 ⁄ 1

63 ⁄ 1

6 2

.44

6.9

957

0.50

51 ⁄ 2

13 ⁄ 16

WT

8×18

5.

28 7

.930

77 ⁄ 80.

295

5 ⁄ 16

3 ⁄ 16

2.3

4 6

.985

70.

430

7 ⁄ 16

11 ⁄ 8

WT

8×15

.5

4.56

7.9

408

0.27

51 ⁄ 4

1 ⁄ 8 2

.18

5.5

2551 ⁄ 2

0.44

07 ⁄ 1

611 ⁄ 8

WT

8×13

3.

84 7

.845

77 ⁄ 80.

250

1 ⁄ 41 ⁄ 8

1.9

6 5

.500

51 ⁄ 20.

345

3 ⁄ 811 ⁄ 1

6

WT

7×40

411

9

11.4

2011

7 ⁄ 16

3.74

033 ⁄ 4

17 ⁄ 842

.7

18.5

6018

1 ⁄ 25.

120

51 ⁄ 8513

⁄ 16W

T8×

365

107

11

.210

111 ⁄ 4

3.07

031 ⁄ 1

619 ⁄ 1

634

.4

17.8

9017

7 ⁄ 84.

910

415⁄ 16

59 ⁄ 16

WT

8×33

2.5

97.

8 10

.820

107 ⁄ 8

2.83

0213

⁄ 1617 ⁄ 1

630

.6

17.6

5017

5 ⁄ 84.

520

41 ⁄ 253 ⁄ 1

6

WT

8×30

2.5

88.

9 10

.460

101 ⁄ 2

2.59

525 ⁄ 8

15 ⁄ 16

27.1

17

.415

173 ⁄ 8

4.16

043 ⁄ 1

6413

⁄ 16W

T8×

275

80.

9 10

.120

101 ⁄ 8

2.38

023 ⁄ 8

13 ⁄ 16

24.1

17

.200

171 ⁄ 4

3.82

0313

⁄ 1641 ⁄ 2

WT

8×25

0 7

3.5

9.8

0093 ⁄ 4

2.19

023 ⁄ 1

611 ⁄ 8

21.5

17

.010

173.

500

31 ⁄ 243 ⁄ 1

6

WT

8×22

7.5

66.

9 9

.510

91 ⁄ 22.

015

21

19.2

16

.835

167 ⁄ 8

3.21

033 ⁄ 1

637 ⁄ 8

WT

7×21

362

.6 9

.335

93 ⁄ 81.

875

17 ⁄ 815

⁄ 1617

.5

16.6

9516

3 ⁄ 43.

035

31 ⁄ 16

311⁄ 16

WT

8×19

958

.5 9

.145

91 ⁄ 81.

770

13 ⁄ 47 ⁄ 8

16.2

16

.590

165 ⁄ 8

2.84

527 ⁄ 8

31 ⁄ 2W

T8×

185

54.4

8.9

609

1.65

515 ⁄ 8

13⁄ 16

14.8

16

.475

161 ⁄ 2

2.66

0211

⁄ 1635 ⁄ 1

6

WT

8×17

150

.3 8

.770

83 ⁄ 41.

540

19 ⁄ 16

13⁄ 16

13.5

16

.360

163 ⁄ 8

2.47

021 ⁄ 2

31 ⁄ 8W

T8×

155.

545

.7 8

.560

81 ⁄ 21.

410

17 ⁄ 16

3 ⁄ 412

.1

16.2

3016

1 ⁄ 42.

260

21 ⁄ 4215

⁄ 16W

T8×

141.

541

.6 8

.370

83 ⁄ 81.

290

15 ⁄ 16

11⁄ 16

10.8

16

.110

161 ⁄ 8

2.07

021 ⁄ 1

623 ⁄ 4

WT

8×12

8.5

37.8

8.1

9081 ⁄ 4

1.17

513 ⁄ 1

65 ⁄ 8

9.6

215

.995

161.

890

17 ⁄ 829 ⁄ 1

6

WT

8×11

6.5

34.2

8.0

208

1.07

011 ⁄ 1

69 ⁄ 1

6 8

.58

15.8

9015

7 ⁄ 81.

720

13 ⁄ 423 ⁄ 8

WT

8×10

5.5

31.0

7.8

6077 ⁄ 8

0.98

01

1 ⁄ 2 7

.70

15.8

0015

3 ⁄ 41.

560

19 ⁄ 16

21 ⁄ 4W

T8×

96.5

28.4

7.7

4073 ⁄ 4

0.89

07 ⁄ 8

7 ⁄ 16

6.8

915

.710

153 ⁄ 4

1.44

017 ⁄ 1

621 ⁄ 8

WT

8×88

25.9

7.6

1075 ⁄ 8

0.83

013

⁄ 167 ⁄ 1

6 6

.32

15.6

5015

5 ⁄ 81.

310

15 ⁄ 16

2W

T8×

79.5

23.4

7.4

9071 ⁄ 2

0.74

53 ⁄ 4

3 ⁄ 8 5

.58

15.5

6515

5 ⁄ 81.

190

13 ⁄ 16

17 ⁄ 8W

T8×

72.5

21.3

7.3

9073 ⁄ 8

0.68

011

⁄ 163 ⁄ 8

5.0

315

.500

151 ⁄ 2

1.09

011 ⁄ 1

613 ⁄ 4

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

76D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sP

rope

rtie

s

Nom

-in

alW

t.p

er fth t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

Fy,

ksi

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

50

12

.1 7

6.8

11.4

2.28

1.76

20.7

0.70

6

93.1

17

.92.

5127

.4—

— 4

4.5

13.5

67.

210

.12.

271.

7018

.10.

631

81

.3

15.7

2.49

24.0

——

38.

515

.6 5

6.9

8.

592.

241.

6315

.30.

549

69

.2

13.4

2.47

20.5

—0.

988

33.

518

.0 4

8.6

7.

362.

221.

5613

.00.

481

59

.5

11.6

2.46

17.7

—0.

861

28.

516

.5 4

8.7

7.

772.

411.

9413

.80.

589

21

.6

6.

061.

60

9.43

—0.

942

25

18

.7 4

2.3

6.

782.

401.

8912

.00.

521

18

.6

5.

261.

59

8.16

0.99

00.

826

22.

520

.6 3

7.8

6.

102.

391.

8610

.80.

471

16

.4

4.

671.

57

7.23

0.90

40.

725

20

23

.3 3

3.1

5.

352.

371.

81

9.43

0.42

1

14.4

4.12

1.57

6.

370.

784

0.58

3 1

8

24.1

30.

6

5.05

2.41

1.88

8.

930.

378

12

.2

3.

501.

52

5.42

0.75

40.

553

15.

525

.8 2

7.4

4.

642.

452.

02

8.27

0.41

3

6.2

0

2.24

1.17

3.

520.

668

0.47

9 1

3

28.4

23.

5

4.09

2.47

2.09

8.

120.

372

4

.80

1.

741.

12

2.74

0.56

30.

406

404

1.5

898

11

6

2.75

3.70

249

3.

19

2760

297

4.

8246

3

——

365

1.9

739

95

.42.

623.

4721

1

3.00

23

60

26

4

4.69

408

—33

2.5

2.

062

2

82.1

2.52

3.25

182

2.

77

2080

236

4.

6236

5

——

302.

5

2.2

524

70

.62.

433.

0515

7

2.55

18

40

21

1

4.55

326

—27

5

2.

444

2

60.9

2.34

2.85

136

2.

35

1630

189

4.

4929

2

——

250

2.6

375

52

.72.

262.

6711

7

2.16

14

40

16

9

4.43

261

—22

7.5

2.

832

1

45.9

2.19

2.51

102

1.

99

1280

152

4.

3823

4

——

213

3.0

287

41

.42.

142.

4091

.71.

88

1180

141

4.

3421

7

——

199

3.2

257

37

.62.

102.

3082

.91.

76

1090

131

4.

3120

1

——

185

3.4

229

33

.92.

052.

1974

.41.

65

994

121

4.

2718

5

——

171

3.7

203

30

.42.

012.

0966

.21.

54

903

110

4.

2416

9

——

155.

5

4.0

176

26

.71.

961.

9757

.71.

41

807

99.4

4.20

152

—14

1.5

4.

415

3

23.5

1.92

1.86

50.4

1.29

7

22

89

.74.

1713

7

——

128.

5

4.9

133

20

.71.

881.

7543

.91.

18

645

80.7

4.13

123

—11

6.5

5.

311

6

18.2

1.84

1.65

38.2

1.08

5

76

72

.54.

1011

0

——

105.

5

5.8

102

16

.21.

811.

5733

.40.

980

513

65.0

4.07

99.0

——

96.

5

6.4

89.

814

.41.

781.

4929

.40.

903

466

59.3

4.05

90.2

——

88

6.9

80.

513

.01.

761.

4326

.30.

827

419

53.5

4.02

81.4

——

79.

5

7.7

70.

211

.41.

731.

3522

.80.

751

374

48.1

4.00

73.0

——

72.

5

8.4

62.

510

.21.

711.

2920

.20.

688

338

43.7

3.98

66.3

——

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

77

Page 26: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sD

imen

sion

s

Des

ign

atio

n

Are

a

Dep

th o

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kT

hic

knes

st w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

WT

7×66

19.4

7.

330

73 ⁄ 80.

645

5 ⁄ 85 ⁄ 1

64.

7314

.725

143 ⁄ 4

1.03

01

111⁄ 16

WT

7×60

17.7

7.

240

71 ⁄ 40.

590

9 ⁄ 16

5 ⁄ 16

4.27

14.6

7014

5 ⁄ 80.

940

15⁄ 16

15 ⁄ 8W

T7×

54.5

16.0

7.

160

71 ⁄ 80.

525

1 ⁄ 21 ⁄ 4

3.76

14.6

0514

5 ⁄ 80.

860

7 ⁄ 819 ⁄ 1

6

WT

7×49

.514

.6

7.08

071 ⁄ 8

0.48

51 ⁄ 2

1 ⁄ 43.

4314

.565

145 ⁄ 8

0.78

03 ⁄ 4

17 ⁄ 16

WT

7×45

13.2

7.

010

70.

440

7 ⁄ 16

1 ⁄ 43.

0814

.520

141 ⁄ 2

0.71

011

⁄ 1613 ⁄ 8

WT

7×41

12.0

7.

155

71 ⁄ 80.

510

1 ⁄ 21 ⁄ 4

3.65

10.1

3010

1 ⁄ 80.

855

7 ⁄ 815 ⁄ 8

WT

7×37

10.9

7.

085

71 ⁄ 80.

450

7 ⁄ 16

1 ⁄ 43.

1910

.070

101 ⁄ 8

0.78

513

⁄ 1619 ⁄ 1

6

WT

7×34

9.9

97.

020

70.

415

7 ⁄ 16

1 ⁄ 42.

9110

.035

100.

720

3 ⁄ 411 ⁄ 2

WT

7×30

.5 8

.96

6.94

57

0.37

53 ⁄ 8

3 ⁄ 16

2.60

9.9

9510

0.64

55 ⁄ 8

17 ⁄ 16

WT

7×26

.5 7

.81

6.96

07

0.37

03 ⁄ 8

3 ⁄ 16

2.58

8.0

608

0.66

011

⁄ 1617 ⁄ 1

6

WT

7×24

7.0

76.

895

67 ⁄ 80.

340

5 ⁄ 16

3 ⁄ 16

2.34

8.0

308

0.59

55 ⁄ 8

13 ⁄ 8W

T7×

21.5

6.3

16.

830

67 ⁄ 80.

305

5 ⁄ 16

3 ⁄ 16

2.08

7.9

958

0.53

01 ⁄ 2

15 ⁄ 16

WT

7×19

5.5

87.

050

70.

310

5 ⁄ 16

3 ⁄ 16

2.19

6.7

7063 ⁄ 4

0.51

51 ⁄ 2

11 ⁄ 16

WT

7×17

5.0

06.

990

70.

285

5 ⁄ 16

3 ⁄ 16

1.99

6.7

4563 ⁄ 4

0.45

57 ⁄ 1

61

WT

7×15

4.4

26.

920

67 ⁄ 80.

270

1 ⁄ 41 ⁄ 8

1.87

6.7

3063 ⁄ 4

0.38

53 ⁄ 8

15⁄ 16

WT

7×13

3.8

56.

955

70.

255

1 ⁄ 41 ⁄ 8

1.77

5.0

255

0.42

07 ⁄ 1

615

⁄ 16W

T7×

11 3

.25

6.87

067 ⁄ 8

0.23

01 ⁄ 4

1 ⁄ 81.

58 5

.000

50.

335

5 ⁄ 16

7 ⁄ 8

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

78D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sP

rope

rtie

s

No

m-

inal

Wt.

per ft

h t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

Fy,

ksi

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

66

8.8

57.8

9.57

1.73

1.29

18.6

0.

658

274

37

.2

3.76

56.6

—60

9

.751

.78.

611.

711.

2416

.5

0.60

224

7

33.7

3.

7451

.2

——

54.5

10.9

45.3

7.56

1.68

1.17

14.4

0.

549

223

30

.6

3.73

46.4

—49

.511

.840

.96.

881.

671.

1412

.9

0.50

020

1

27.6

3.

7141

.8

——

45

13.0

36.4

6.16

1.66

1.09

11.5

0.

456

181

25

.0

3.70

37.8

41

11.2

41.2

7.14

1.85

1.39

13.2

0.

594

74.2

14.6

2.

4822

.4

——

37

12.7

36.0

6.25

1.82

1.32

11.5

0.

541

66.9

13.3

2.

4820

.3

——

34

13.7

32.6

5.69

1.81

1.29

10.4

0.

498

60.7

12.1

2.

4618

.5

——

30.5

15.2

28.9

5.07

1.80

1.25

9.1

60.

448

53.7

10.7

2.

4516

.4

—0.

973

26.5

15.4

27.6

4.94

1.88

1.38

8.8

70.

484

28.8

7.1

61.

9211

.0

—0.

958

24

16.8

24.9

4.48

1.87

1.35

8.0

00.

440

25.7

6.4

01.

91 9

.82

—0.

882

21.5

18.7

21.9

3.98

1.86

1.31

7.0

50.

395

22.6

5.6

51.

89 8

.66

0.94

70.

775

19

19.8

23.3

4.22

2.04

1.54

7.4

50.

412

13.3

3.9

41.

55 6

.07

0.93

40.

760

17

21.5

20.9

3.83

2.04

1.53

6.7

40.

371

11.7

3.4

51.

53 5

.32

0.85

70.

669

15

22.7

19.0

3.55

2.07

1.58

6.2

50.

329

9.

79 2

.91

1.49

4.4

90.

810

0.61

0

13

24.1

17.3

3.31

2.12

1.72

5.8

90.

383

4.

45 1

.77

1.08

2.7

70.

737

0.53

711

26

.714

.82.

912.

141.

76 5

.20

0.32

5

3.50

1.4

01.

04 2

.19

0.62

10.

447

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

79

Page 27: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sD

imen

sion

s

Des

igna

tion

Are

a

Dep

th o

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kT

hic

knes

st w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

WT

6×16

849

.4

8.41

083 ⁄ 8

1.77

513 ⁄ 4

7 ⁄ 814

.9

13.3

8513

3 ⁄ 82.

955

215⁄ 16

311⁄ 16

WT

6×15

2.5

44.8

8.

160

81 ⁄ 81.

625

15 ⁄ 813

⁄ 1613

.3

13.2

3513

1 ⁄ 42.

705

211⁄ 16

37 ⁄ 16

WT

6×13

9.5

41.0

7.

925

77 ⁄ 81.

530

11 ⁄ 23 ⁄ 4

12.1

13

.140

131 ⁄ 8

2.47

021 ⁄ 2

33 ⁄ 16

WT

6×12

637

.0

7.70

573 ⁄ 4

1.39

513 ⁄ 8

11⁄ 16

10.7

13

.005

132.

250

21 ⁄ 4215

⁄ 16W

T6×

115

33.9

7.

525

71 ⁄ 21.

285

15 ⁄ 16

11⁄ 16

9.6

712

.895

127 ⁄ 8

2.07

021 ⁄ 1

623 ⁄ 4

WT

6×10

530

.9

7.35

573 ⁄ 8

1.18

013 ⁄ 1

65 ⁄ 8

8.6

812

.790

123 ⁄ 4

1.90

017 ⁄ 8

25 ⁄ 8W

T6×

9527

.9

7.19

071 ⁄ 4

1.06

011 ⁄ 1

69 ⁄ 1

6 7

.62

12.6

7012

5 ⁄ 81.

735

13 ⁄ 427 ⁄ 1

6

WT

6×85

25.0

7.

015

70.

960

15⁄ 16

1 ⁄ 2 6

.73

12.5

7012

5 ⁄ 81.

560

19 ⁄ 16

21 ⁄ 4W

T6×

7622

.4

6.85

567 ⁄ 8

0.87

07 ⁄ 8

7 ⁄ 16

5.9

612

.480

121 ⁄ 2

1.40

013 ⁄ 8

21 ⁄ 8W

T6×

6820

.0

6.70

563 ⁄ 4

0.79

013

⁄ 167 ⁄ 1

6 5

.30

12.4

0012

3 ⁄ 81.

250

11 ⁄ 4115

⁄ 16W

T6×

6017

.6

6.56

061 ⁄ 2

0.71

011

⁄ 163 ⁄ 8

4.6

612

.320

123 ⁄ 8

1.10

511 ⁄ 8

113⁄ 16

WT

6×53

15.6

6.

445

61 ⁄ 20.

610

5 ⁄ 85 ⁄ 1

6 3

.93

12.2

2012

1 ⁄ 40.

990

1111

⁄ 16W

T6×

4814

.1

6.35

563 ⁄ 8

0.55

09 ⁄ 1

65 ⁄ 1

6 3

.50

12.1

6012

1 ⁄ 80.

900

7 ⁄ 815 ⁄ 8

WT

6×43

.512

.8

6.26

561 ⁄ 4

0.51

51 ⁄ 2

1 ⁄ 4 3

.23

12.1

2512

1 ⁄ 80.

810

13⁄ 16

11 ⁄ 2W

T6×

39.5

11.6

6.

190

61 ⁄ 40.

470

1 ⁄ 21 ⁄ 4

2.9

112

.080

121 ⁄ 8

0.73

53 ⁄ 4

17 ⁄ 16

WT

6×36

10.6

6.

125

61 ⁄ 80.

430

7 ⁄ 16

1 ⁄ 4 2

.63

12.0

4012

0.67

011

⁄ 1613 ⁄ 8

WT

6×32

.5 9

.54

6.06

06

0.39

03 ⁄ 8

3 ⁄ 16

2.3

612

.000

120.

605

5 ⁄ 815 ⁄ 1

6

WT

6×29

8.5

26.

095

61 ⁄ 80.

360

3 ⁄ 83 ⁄ 1

6 2

.19

10.0

1010

0.64

05 ⁄ 8

13 ⁄ 8W

T6×

26.5

7.7

86.

030

60.

345

3 ⁄ 83 ⁄ 1

6 2

.08

9.9

9510

0.57

59 ⁄ 1

611 ⁄ 4

WT

6×25

7.3

46.

095

61 ⁄ 80.

370

3 ⁄ 83 ⁄ 1

6 2

.26

8.0

8081 ⁄ 8

0.64

05 ⁄ 8

13 ⁄ 8W

T6×

22.5

6.6

16.

030

60.

335

5 ⁄ 16

3 ⁄ 16

2.0

2 8

.045

80.

575

9 ⁄ 16

11 ⁄ 4W

T6×

20 5

.89

5.97

06

0.29

55 ⁄ 1

63 ⁄ 1

6 1

.76

8.0

058

0.51

51 ⁄ 2

11 ⁄ 4

WT

6×17

.5 5

.17

6.25

061 ⁄ 4

0.30

05 ⁄ 1

63 ⁄ 1

6 1

.88

6.5

6061 ⁄ 2

0.52

01 ⁄ 2

1W

T6×

15 4

.40

6.17

061 ⁄ 8

0.26

01 ⁄ 4

1 ⁄ 8 1

.60

6.5

2061 ⁄ 2

0.44

07 ⁄ 1

615

⁄ 16W

T6×

13 3

.82

6.11

061 ⁄ 8

0.23

01 ⁄ 4

1 ⁄ 8 1

.41

6.4

9061 ⁄ 2

0.38

03 ⁄ 8

7 ⁄ 8

WT

6×11

3.2

46.

155

61 ⁄ 80.

260

1 ⁄ 41 ⁄ 8

1.6

0 4

.030

40.

425

7 ⁄ 16

7 ⁄ 8W

T6×

9.5

2.7

96.

080

61 ⁄ 80.

235

1 ⁄ 41 ⁄ 8

1.4

3 4

.005

40.

350

3 ⁄ 813

⁄ 16W

T6×

8 2

.36

5.99

56

0.22

01 ⁄ 4

1 ⁄ 8 1

.32

3.9

904

0.26

51 ⁄ 4

3 ⁄ 4W

T6×

7 2

.08

5.95

56

0.20

03 ⁄ 1

61 ⁄ 8

1.1

9 3

.970

40.

225

1 ⁄ 411

⁄ 16

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

80D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sP

rope

rtie

s

Nom

-in

alW

t.p

er fth t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

F y, k

si

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

168

2

.719

0

31.2

1.

962.

31

68.4

1.

84

593

88

.6

3.47

13

7

—15

2.5

3.0

162

27

.0

1.90

2.16

59

.1

1.69

52

5

79.3

3.

42

122

——

139.

5 3

.214

1

24.1

1.

862.

05

51.9

1.

56

469

71

.3

3.38

11

0

—12

6

3.5

121

20

.9

1.81

1.92

44

.8

1.42

41

4

63.6

3.

34

97.

9

——

115

3

.810

6

18.5

1.

771.

82

39.4

1.

31

371

57

.5

3.31

8

8.4

—10

5

4.1

92.1

16.4

1.

731.

72

34.5

1.

21

332

51

.9

3.28

7

9.7

— 9

5

4.6

79.0

14.2

1.

681.

62

29.8

1.

10

295

46

.5

3.25

7

1.3

— 8

5

5.1

67.8

12.3

1.

651.

52

25.6

0.

994

259

41

.2

3.22

6

3.0

— 7

6

5.6

58.5

10.8

1.

621.

43

22.0

0.

896

227

36

.4

3.19

5

5.6

— 6

8

6.1

50.6

9.4

61.

591.

35

19.0

0.

805

199

32

.1

3.16

4

9.0

— 6

0

6.8

43.4

8.2

21.

571.

28

16.2

0.

716

172

28

.0

3.13

4

2.7

— 5

3

8.0

36.3

6.9

11.

531.

19

13.6

0.

637

151

24

.7

3.11

3

7.5

— 4

8

8.8

32.0

6.1

21.

511.

13

11.9

0.

580

135

22

.2

3.09

3

3.7

— 4

3.5

9.4

28.9

5.6

01.

501.

10

10.7

0.

527

120

19

.9

3.07

3

0.2

— 3

9.5

10.3

25.8

5.0

31.

491.

06

9.4

90.

480

108

17

.9

3.05

2

7.2

— 3

6

11.3

23.2

4.5

41.

481.

02

8.4

80.

439

97.5

16.2

3.

04

24.

6

——

32.

512

.420

.6 4

.06

1.47

0.98

5 7

.50

0.39

887

.214

.5

3.02

2

2.0

29

13

.519

.1 3

.76

1.50

1.03

6

.97

0.42

653

.510

.7

2.51

16

.3—

— 2

6.5

14.1

17.7

3.5

41.

511.

02

6.4

60.

389

47.9

9.5

82.

48

14.6

——

25

13

.118

.7 3

.79

1.60

1.17

6

.90

0.45

428

.2 6

.97

1.96

10

.7—

— 2

2.5

14.5

16.6

3.3

91.

581.

13

6.1

20.

411

25.0

6.2

1 1.

94

9.

50

—0.

998

20

16

.514

.4 2

.95

1.57

1.08

5

.30

0.36

822

.0 5

.51

1.93

8.41

0.88

7

17.

518

.116

.0 3

.23

1.76

1.30

5

.71

0.39

412

.2 3

.73

1.54

5.73

0.85

6 1

5

20.9

13.5

2.7

51.

751.

27

4.8

30.

337

10.2

3.1

2 1.

52

4.

78

0.89

10.

710

13

23

.611

.7 2

.40

1.75

1.25

4

.20

0.29

5

8.66

2.6

7 1.

51

4.

08

0.76

70.

565

11

20

.911

.7 2

.59

1.90

1.63

4

.63

0.40

2

2.33

1.1

6 0.

847

1.

83

0.89

10.

710

9.

523

.110

.1 2

.28

1.90

1.65

4

.11

0.34

8

1.88

0.9

390.

822

1.

49

0.79

70.

596

8

24

.7

8.70

2.0

41.

921.

74

3.7

20.

639

1.

41 0

.706

0.77

3

1.13

0.

741

0.54

1

7

27.2

7.

67 1

.83

1.92

1.76

3

.32

0.76

0

1.18

0.5

940.

753

0.

950

0.62

60.

450

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

81

Page 28: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sD

imen

sion

s

Des

igna

tion

Are

a

Dep

th o

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kT

hic

knes

st w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

WT

5×56

16.5

5.

680

55 ⁄ 80.

755

3 ⁄ 43 ⁄ 8

4.29

10

.415

103 ⁄ 8

1.25

011 ⁄ 4

17 ⁄ 8W

T5×

5014

.7

5.55

051 ⁄ 2

0.68

011

⁄ 163 ⁄ 8

3.77

10

.340

103 ⁄ 8

1.12

011 ⁄ 8

13 ⁄ 4W

T5×

4412

.9

5.42

053 ⁄ 8

0.60

55 ⁄ 8

5 ⁄ 16

3.28

10

.265

101 ⁄ 4

0.99

01

15 ⁄ 8W

T5×

38.5

11.3

5.

300

51 ⁄ 40.

530

1 ⁄ 21 ⁄ 4

2.81

10

.190

101 ⁄ 4

0.87

07 ⁄ 8

11 ⁄ 2W

T5×

34 9

.99

5.20

051 ⁄ 4

0.47

01 ⁄ 2

1 ⁄ 42.

44

10.1

3010

1 ⁄ 80.

770

3 ⁄ 813 ⁄ 8

WT

5×30

8.8

25.

110

51 ⁄ 80.

420

7 ⁄ 16

1 ⁄ 42.

15

10.0

8010

1 ⁄ 80.

680

11⁄ 16

15 ⁄ 16

WT

5×27

7.9

15.

045

50.

370

3 ⁄ 83 ⁄ 1

61.

87

10.0

3010

0.61

55 ⁄ 8

11 ⁄ 4W

T5×

24.5

7.2

14.

990

50.

340

5 ⁄ 16

3 ⁄ 16

1.70

10

.000

100.

560

9 ⁄ 16

13 ⁄ 16

WT

5×22

.5 6

.63

5.05

05

0.35

03 ⁄ 8

3 ⁄ 16

1.77

8

.020

80.

620

5 ⁄ 811 ⁄ 4

WT

5×19

.5 5

.73

4.96

05

0.31

55 ⁄ 1

63 ⁄ 1

61.

56

7.9

858

0.53

01 ⁄ 2

11 ⁄ 8W

T5×

16.5

4.8

54.

865

47 ⁄ 80.

290

5 ⁄ 16

3 ⁄ 16

1.41

7

.960

80.

435

7 ⁄ 16

11 ⁄ 16

WT

5×15

4.4

25.

235

51 ⁄ 40.

300

5 ⁄ 16

3 ⁄ 16

1.57

5

.810

53 ⁄ 40.

510

1 ⁄ 215

⁄ 16W

T5×

13 3

.81

5.16

551 ⁄ 8

0.26

01 ⁄ 4

1 ⁄ 81.

34

5.7

7053 ⁄ 4

0.44

07 ⁄ 1

67 ⁄ 8

WT

5×11

3.2

45.

085

51 ⁄ 80.

240

1 ⁄ 41 ⁄ 8

1.22

5

.750

53 ⁄ 40.

360

3 ⁄ 83 ⁄ 4

WT

5×9.

5 2

.81

5.12

051 ⁄ 8

0.25

01 ⁄ 4

1 ⁄ 81.

28

4.0

204

0.39

53 ⁄ 8

13⁄ 16

WT

5×8.

5 2

.50

5.05

55

0.24

01 ⁄ 4

1 ⁄ 81.

21

4.0

104

0.33

05 ⁄ 1

63 ⁄ 4

WT

5×7.

5 2

.21

4.99

55

0.23

01 ⁄ 4

1 ⁄ 81.

15

4.0

004

0.27

01 ⁄ 4

11⁄ 16

WT

5×6

1.7

74.

935

47 ⁄ 80.

190

3 ⁄ 16

1 ⁄ 80.

938

3.9

604

0.21

03 ⁄ 1

65 ⁄ 8

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

82D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sP

rope

rtie

s

No

m-

inal

Wt.

per ft

h t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

Fy,

ksi

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

56

5.2

28.6

6.

401.

321.

21

13.4

0.

791

118

22

.6

2.68

34

.6

——

50

5.8

24.5

5.

561.

291.

13

11.4

0.

711

103

20

.0

2.65

30

.5

——

44

6.5

20.8

4.

771.

271.

06

9.6

50.

631

89.3

17.4

2.

63

26.5

—38

.5 7

.417

.4

4.04

1.24

0.99

0 8

.06

0.55

576

.815

.1

2.60

22

.9

——

34

8.4

14.9

3.

491.

220.

932

6.8

50.

493

66.8

13.2

2.

59

20.0

—30

9

.412

.9

3.04

1.21

0.88

4 5

.87

0.43

858

.111

.5

2.57

17

.5

——

27

10.6

11.1

2.

641.

190.

836

5.0

50.

395

51.7

10.3

2.

56

15.7

—24

.511

.610

.0

2.39

1.18

0.80

7 4

.52

0.36

146

.79.

342.

54

14.2

22.5

11.2

10.2

2.

471.

240.

907

4.6

50.

413

26.7

6.65

2.01

10

.1

——

19.5

12.5

8.8

42.

161.

240.

876

3.9

90.

359

22.5

5.64

1.98

8.

59—

—16

.513

.6 7

.71

1.93

1.26

0.86

9 3

.48

0.30

518

.34.

601.

94

7.01

——

15

14.8

9.2

82.

241.

451.

10

4.0

10.

380

8.

352.

871.

37

4.42

——

13

17.0

7.8

61.

911.

441.

06

3.3

90.

330

7.

052.

441.

36

3.75

—0.

902

11

18.4

6.8

81.

721.

461.

07

3.0

20.

282

5.

711.

991.

33

3.05

0.99

90.

836

9.5

17.7

6.6

81.

741.

541.

28

3.1

00.

349

2.

151.

070.

874

1.68

—0.

872

8.5

18.4

6.0

61.

621.

561.

32

2.9

00.

311

1.

78 0

.888

0.84

41.

40—

0.84

1 7

.519

.2 5

.45

1.50

1.57

1.37

3

.03

0.30

6

1.45

0.7

230.

810

1.15

0.97

70.

811

6

23.3

4.3

51.

221.

571.

36

2.5

00.

323

1.

09 0

.551

0.78

5 0

.872

0.79

30.

592

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

83

Page 29: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sD

imen

sion

s

Des

igna

tion

Are

a

Dep

th o

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kT

hic

knes

st w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

WT

4×33

.59.

844.

500

41 ⁄ 20.

570

9 ⁄ 16

5 ⁄ 16

2.56

8.

280

81 ⁄ 40.

935

15⁄ 16

17 ⁄ 16

WT

4×29

8.55

4.37

543 ⁄ 8

0.51

01 ⁄ 2

1 ⁄ 42.

23

8.22

081 ⁄ 4

0.81

013

⁄ 1615 ⁄ 1

6

WT

4×24

7.05

4.25

041 ⁄ 4

0.40

03 ⁄ 8

3 ⁄ 16

1.70

8.

110

81 ⁄ 80.

685

11⁄ 16

13 ⁄ 16

WT

4×20

5.87

4.12

541 ⁄ 8

0.36

03 ⁄ 8

3 ⁄ 16

1.48

8.

070

81 ⁄ 80.

560

9 ⁄ 16

11 ⁄ 16

WT

4×17

.55.

144.

060

40.

310

5 ⁄ 16

3 ⁄ 16

1.26

8.

020

80.

495

1 ⁄ 21

WT

4×15

.54.

564.

000

40.

285

5 ⁄ 16

3 ⁄ 16

1.14

7.

995

80.

435

7 ⁄ 16

15⁄ 16

WT

4×14

4.12

4.03

04

0.28

55 ⁄ 1

63 ⁄ 1

61.

15

6.53

561 ⁄ 2

0.46

57 ⁄ 1

615

⁄ 16W

T4×

123.

543.

965

40.

245

1 ⁄ 41 ⁄ 8

0.97

16.

495

61 ⁄ 20.

400

3 ⁄ 87 ⁄ 8

WT

4×10

.53.

084.

140

41 ⁄ 80.

250

1 ⁄ 41 ⁄ 8

1.03

5.

270

51 ⁄ 40.

400

3 ⁄ 813

⁄ 16W

T4×

92.

634.

070

41 ⁄ 80.

230

1 ⁄ 41 ⁄ 8

0.93

65.

250

51 ⁄ 40.

330

5 ⁄ 16

3 ⁄ 4

WT

4×7.

52.

224.

055

40.

245

1 ⁄ 41 ⁄ 8

0.99

34.

015

40.

315

5 ⁄ 16

3 ⁄ 4W

T4×

6.5

1.92

3.99

54

0.23

01 ⁄ 4

1 ⁄ 80.

919

4.00

04

0.25

51 ⁄ 4

11⁄ 16

WT

4×5

1.48

3.94

54

0.17

03 ⁄ 1

61 ⁄ 8

0.67

13.

940

40.

205

3 ⁄ 16

5 ⁄ 8

WT

3×12

.53.

673.

190

31 ⁄ 40.

320

5 ⁄ 16

3 ⁄ 16

1.02

6.08

061 ⁄ 8

0.45

57 ⁄ 1

613

⁄ 16W

T4×

102.

943.

100

31 ⁄ 80.

260

1 ⁄ 41 ⁄ 8

0.80

66.

020

60.

365

3 ⁄ 83 ⁄ 4

WT

4×7.

52.

212.

995

30.

230

1 ⁄ 41 ⁄ 8

0.68

95.

990

60.

260

1 ⁄ 45 ⁄ 8

WT

3×8

2.37

3.14

031 ⁄ 8

0.26

01 ⁄ 4

1 ⁄ 80.

816

4.03

04

0.40

53 ⁄ 8

3 ⁄ 4W

T4×

61.

783.

015

30.

230

1 ⁄ 41 ⁄ 8

0.69

34.

000

40.

280

1 ⁄ 45 ⁄ 8

WT

4×4.

51.

342.

950

30.

170

3 ⁄ 16

1 ⁄ 80.

502

3.94

04

0.21

53 ⁄ 1

69 ⁄ 1

6

WT

2.5×

9.5

2.77

2.57

525 ⁄ 8

0.27

01 ⁄ 4

1 ⁄ 80.

695

5.03

05

0.43

07 ⁄ 1

613

⁄ 16W

T4.

5×8

2.34

2.50

521 ⁄ 2

0.24

01 ⁄ 4

1 ⁄ 80.

601

5.00

05

0.36

03 ⁄ 8

3 ⁄ 4

WT

2×6.

51.

912.

080

21 ⁄ 80.

280

1 ⁄ 41 ⁄ 8

0.58

24.

060

40.

345

3 ⁄ 811

⁄ 16

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

84D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

W s

hape

sP

rope

rtie

s

No

m-

inal

Wt.

per ft

h t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

Fy,

ksi

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

33.5

5.6

10.9

3.

05

1.05

0.

936

6.29

0.

594

44.3

10

.7

2.12

16

.3

——

29

6.2

9.12

2.61

1.

03

0.87

45.

25

0.52

037

.5

9.13

2.10

13

.9

——

24

7.9

6.85

1.97

0.

986

0.77

73.

94

0.43

530

.5

7.52

2.08

11

.4

——

20

8.8

5.73

1.69

0.

988

0.73

53.

25

0.36

424

.5

6.08

2.04

9.

25—

—17

.510

.24.

811.

43

0.96

70.

688

2.71

0.

321

21.3

5.

312.

03

8.06

——

15.5

11.1

4.28

1.28

0.

968

0.66

72.

39

0.28

518

.5

4.64

2.02

7.

04—

14

11.1

4.22

1.28

1.

01

0.73

42.

38

0.31

510

.8

3.31

1.62

5.

05—

—12

12

.93.

531.

08

0.99

90.

695

1.98

0.

273

9.1

42.

811.

61

4.29

——

10.5

13.8

3.90

1.18

1.

12

0.83

12.

11

0.29

2 4

.89

1.85

1.26

2.

84—

— 9

15

.03.

411.

05

1.14

0.

834

1.86

0.

251

3.9

81.

521.

23

2.33

——

7.5

14.0

3.28

1.07

1.

22

0.99

81.

91

0.27

6 1

.70

0.8

490.

876

1.33

——

6.5

15.0

2.89

0.97

41.

23

1.03

1.

74

0.24

0 1

.37

0.6

830.

843

1.08

——

5

20.2

2.15

0.71

71.

20

0.95

31.

27

0.18

8 1

.05

0.5

320.

841

0.8

280.

913

0.73

5

12.5

7.8

2.28

0.88

60.

789

0.61

01.

68

0.30

2 8

.53

2.81

1.52

4.

28—

—10

9

.61.

760.

693

0.77

40.

560

1.29

0.

244

6.6

42.

211.

50

3.36

——

7.5

10.8

1.41

0.57

70.

797

0.55

81.

03

0.18

5 4

.66

1.56

1.45

2.

37—

8

9.6

1.69

0.68

50.

844

0.67

61.

25

0.29

4 2

.21

1.10

0.96

61.

70—

— 6

10

.81.

320.

564

0.86

10.

677

1.01

0.

222

1.5

0 0

.748

0.91

81.

16—

— 4

.514

.6 0

.950

0.40

80.

842

0.62

30.

720

0.17

0 1

.10

0.5

570.

905

0.8

58—

9.5

7.0

1.01

0.48

50.

605

0.48

70.

967

0.27

5 4

.56

1.82

1.28

2.

76—

— 8

7

.9 0

.850

0.41

30.

601

0.45

80.

798

0.23

4 3

.75

1.50

1.27

2.

29—

6.5

5.3

0.5

300.

321

0.52

40.

440

0.61

60.

236

1.9

3 0

.950

1.00

1.

46—

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

85

Page 30: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

M s

hape

sD

imen

sion

s

Des

ig-

nat

ion

Are

a

Dep

tho

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kG

rip

Max

.F

lge.

Fas

-te

ner

Th

ickn

ess

t w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

in.

in.

MT

6×5.

91.

73

6.00

06

0.17

73 ⁄ 1

61 ⁄ 8

1.06

3.

065

31 ⁄ 80.

225

1 ⁄ 49 ⁄ 1

61 ⁄ 4

—M

T6×

5.4

1.59

5.

990

60.

160

3 ⁄ 16

1 ⁄ 16

0.95

83.

065

31 ⁄ 80.

210

1 ⁄ 41 ⁄ 2

1 ⁄ 41 ⁄ 2

MT

5×4.

51.

32

5.00

05

0.15

73 ⁄ 1

61 ⁄ 8

0.78

52.

690

23 ⁄ 40.

206

3 ⁄ 16

9 ⁄ 16

3 ⁄ 16

—M

T5×

41.

18

4.98

05

0.14

13 ⁄ 1

61 ⁄ 1

60.

702

2.69

023 ⁄ 4

0.18

23 ⁄ 1

67 ⁄ 1

63 ⁄ 1

63 ⁄ 8

MT

4×3.

250.

958

4.00

04

0.13

51 ⁄ 8

1 ⁄ 16

0.54

02.

281

21 ⁄ 40.

189

3 ⁄ 16

1 ⁄ 23 ⁄ 1

6—

MT

2.5×

9.45

*2.

78

2.50

021 ⁄ 2

0.31

65 ⁄ 1

63 ⁄ 1

60.

790

5.00

35

0.41

67 ⁄ 1

67 ⁄ 8

7 ⁄ 16

7 ⁄ 8

*Thi

s sh

ape

has

tape

red

flang

es, w

hile

all

othe

r M

T s

hape

s ha

ve p

aral

lel f

lang

es.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

86D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

M s

hape

sP

rope

rtie

s

No

m-

inal

Wt.

per ft

h t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

F y, k

si

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

5.9

31.3

6.60

1.60

1.

95

1.89

2.

891.

09

0.49

00.

320

0.53

20.

577

0.48

30.

348

5.4

31.8

6.03

1.46

1.

95

1.85

2.

631.

01

0.45

30.

295

0.53

30.

525

0.39

70.

286

4.5

29.2

3.46

0.99

71.

62

1.53

1.

810.

778

0.30

50.

227

0.48

00.

405

0.54

90.

396

4

29.7

3.09

0.89

31.

62

1.52

1.

620.

778

0.26

90.

200

0.47

70.

333

0.44

60.

321

3.25

26.9

1.57

0.55

61.

28

1.17

1.

010.

446

0.17

20.

150

0.42

30.

265

0.63

40.

457

9.45

5.6

1.05

0.52

70.

615

0.51

11.

030.

278

3.93

1.

57

1.19

2.

66

——

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

k

t

y ,

y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

87

Page 31: Structural Shapes

ST

RU

CT

UR

AL

TE

ES

Cut

from

S s

hape

sD

imen

sion

s

Des

ig-

nat

ion

Are

a

Dep

tho

fTe

e d

Ste

mA

rea

of

Ste

m

Fla

ng

eD

is-

tan

ce kG

rip

Max

.F

lge.

Fas

-te

ner

Th

ickn

ess

t w

t w 2W

idth

bf

Th

ickn

ess

t f

in.2

in.

in.

in.

in.2

in.

in.

in.

in.

in.

in.

ST

12×6

0.5

17.8

12

.250

121 ⁄ 4

0.80

013

⁄ 167 ⁄ 1

69.

80

8.05

08

1.09

011 ⁄ 1

62

11 ⁄ 81

ST

12×5

315

.6

12.2

5012

1 ⁄ 40.

620

5 ⁄ 85 ⁄ 1

67.

60

7.87

077 ⁄ 8

1.09

011 ⁄ 1

62

11 ⁄ 81

ST

12×5

014

.7

12.0

0012

0.74

53 ⁄ 4

3 ⁄ 88.

94

7.24

571 ⁄ 4

0.87

07 ⁄ 8

13 ⁄ 47 ⁄ 8

1S

T12

×45

13.2

12

.000

120.

625

5 ⁄ 85 ⁄ 1

67.

50

7.12

571 ⁄ 8

0.87

07 ⁄ 8

13 ⁄ 47 ⁄ 8

1S

T12

×40

11.7

12

.000

120.

500

1 ⁄ 21 ⁄ 4

6.00

7.

000

70.

870

7 ⁄ 813 ⁄ 4

7 ⁄ 81

ST

10×4

814

.1

10.1

5010

1 ⁄ 80.

800

13⁄ 16

7 ⁄ 16

8.12

7.

200

71 ⁄ 40.

920

15⁄ 16

13 ⁄ 415

⁄ 161

ST

10×4

312

.7

10.1

5010

1 ⁄ 80.

660

11⁄ 16

3 ⁄ 86.

70

7.06

07

0.92

015

⁄ 1613 ⁄ 4

15⁄ 16

1

ST

10×3

7.5

11.0

10

.000

100.

635

5 ⁄ 85 ⁄ 1

66.

35

6.38

563 ⁄ 8

0.79

513

⁄ 1615 ⁄ 8

13⁄ 16

7 ⁄ 8S

T10

×33

9.70

10.0

0010

0.50

51 ⁄ 2

1 ⁄ 45.

05

6.22

561 ⁄ 4

0.79

513

⁄ 1615 ⁄ 8

13⁄ 16

7 ⁄ 8

ST

9×35

10.3

9

.000

90.

711

11⁄ 16

3 ⁄ 86.

40

6.25

161 ⁄ 4

0.69

111

⁄ 1611 ⁄ 2

11⁄ 16

7 ⁄ 8S

T9×

27.3

58.

04 9

.000

90.

461

7 ⁄ 16

1 ⁄ 44.

15

6.00

16

0.69

111

⁄ 1611 ⁄ 2

11⁄ 16

7 ⁄ 8

ST

7.5×

257.

35 7

.500

71 ⁄ 20.

550

9 ⁄ 16

5 ⁄ 16

4.13

5.

640

55 ⁄ 80.

622

5 ⁄ 813 ⁄ 8

9 ⁄ 16

3 ⁄ 4S

T7.

5×21

.45

6.31

7.5

0071 ⁄ 2

0.41

17 ⁄ 1

61 ⁄ 4

3.08

5.

501

51 ⁄ 20.

622

5 ⁄ 813 ⁄ 8

9 ⁄ 16

3 ⁄ 4

ST

6×25

7.35

6.0

006

0.68

711

⁄ 163 ⁄ 8

4.12

5.

477

51 ⁄ 20.

659

11⁄ 16

17 ⁄ 16

11⁄ 16

3 ⁄ 4S

T6×

20.4

6.00

6.0

006

0.46

27 ⁄ 1

61 ⁄ 4

2.77

5.

252

51 ⁄ 40.

659

11⁄ 16

17 ⁄ 16

5 ⁄ 83 ⁄ 4

ST

6×17

.55.

15 6

.000

60.

428

7 ⁄ 16

1 ⁄ 42.

57

5.07

851 ⁄ 8

0.54

59 ⁄ 1

613 ⁄ 1

61 ⁄ 2

3 ⁄ 4S

T6×

15.9

4.68

6.0

006

0.35

03 ⁄ 8

3 ⁄ 16

2.10

5.

000

50.

544

9 ⁄ 16

13 ⁄ 16

1 ⁄ 23 ⁄ 4

ST

5×17

.55.

15 5

.000

50.

594

5 ⁄ 85 ⁄ 1

62.

97

4.94

45

0.49

11 ⁄ 2

11 ⁄ 81 ⁄ 2

3 ⁄ 4S

T5×

12.7

3.73

5.0

005

0.31

15 ⁄ 1

63 ⁄ 1

61.

56

4.66

145 ⁄ 8

0.49

11 ⁄ 2

11 ⁄ 81 ⁄ 2

3 ⁄ 4

ST

4×11

.53.

38 4

.000

40.

441

7 ⁄ 16

1 ⁄ 41.

76

4.17

141 ⁄ 8

0.42

57 ⁄ 1

61

7 ⁄ 16

3 ⁄ 4S

T4×

9.2

2.70

4.0

004

0.27

11 ⁄ 4

1 ⁄ 81.

08

4.00

14

0.42

57 ⁄ 1

61

7 ⁄ 16

3 ⁄ 4

ST

3×8.

625

2.53

3.0

003

0.46

57 ⁄ 1

61 ⁄ 4

1.40

3.

565

35 ⁄ 80.

359

3 ⁄ 87 ⁄ 8

3 ⁄ 85 ⁄ 8

ST

3×6.

251.

83 3

.000

30.

232

1 ⁄ 41 ⁄ 8

0.70

3.

332

33 ⁄ 80.

359

3 ⁄ 87 ⁄ 8

3 ⁄ 8—

ST

2.5×

51.

47 2

.500

21 ⁄ 20.

214

3 ⁄ 16

1 ⁄ 80.

535

3.00

43

0.32

65 ⁄ 1

613

⁄ 165 ⁄ 1

6—

ST

2×4.

751.

40 2

.000

20.

326

5 ⁄ 16

3 ⁄ 16

0.65

22.

796

23 ⁄ 40.

293

5 ⁄ 16

3 ⁄ 45 ⁄ 1

6—

ST

2×3.

851.

13 2

.000

20.

193

3 ⁄ 16

1 ⁄ 80.

386

2.66

325 ⁄ 8

0.29

35 ⁄ 1

63 ⁄ 4

5 ⁄ 16

ST

1.5×

3.75

1.10

1.5

0011 ⁄ 2

0.34

93 ⁄ 8

3 ⁄ 16

0.52

32.

509

21 ⁄ 20.

260

1 ⁄ 411

⁄ 161 ⁄ 4

—S

T1.

5×2.

85 0

.835

1.5

0011 ⁄ 2

0.17

03 ⁄ 1

61 ⁄ 8

0.25

52.

330

23 ⁄ 80.

260

1 ⁄ 411

⁄ 161 ⁄ 4

XX

YYb

grip

t

y, y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

88D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

ST

RU

CT

UR

AL

TE

ES

Cut

from

S s

hape

sP

rope

rtie

s

No

m-

inal

Wt.

per ft

h t w

Axi

s X

-XA

xis

Y-Y

Qs*

IS

ry

Zy p

IS

rZ

Fy,

ksi

lbin

.4in

.3in

.in

.in

.3in

.in

.4in

.3in

.in

.336

50

60.5

13

.225

9

30

.1

3.82

3.

63

54.5

1.

28

41.7

10

.4

1.53

18

.1

——

53

17

21

6

24

.1

3.72

3.

28

43.3

1.

03

38.5

9.

801.

57

16.6

0.90

7

50

14

.121

5

26

.3

3.83

3.

84

47.5

2.

20

23.8

6.

581.

27

12.0

—45

16.8

190

22.6

3.

79

3.60

41

.1

1.48

22

.5

6.31

1.30

11

.2

—0.

937

40

21

.116

2

18

.7

3.72

3.

29

33.6

0.

922

21.1

6.

041.

34

10.4

0.

878

0.69

5

48

10

.814

3

20

.3

3.18

3.

13

36.9

1.

40

25.1

6.

971.

33

12.5

—43

13.1

125

17.2

3.

14

2.91

31

.1

0.98

523

.4

6.63

1.36

11

.6

——

37.5

13

.610

9

15

.8

3.15

3.

07

28.6

1.

40

14.9

4.

661.

16

8.37

——

33

17

9

3.1

12

.9

3.10

2.

81

23.4

0.

855

13.8

4.

431.

19

7.70

—0.

907

35

10

.9 8

4.7

14

.0

2.87

2.

94

25.1

1.

81

12.1

3.

861.

08

7.21

——

27.3

516

.8 6

2.4

9

.61

2.79

2.

50

17.3

0.

747

10.4

3.

471.

14

6.07

—0.

922

25

11

.6 4

0.6

7

.73

2.35

2.

25

14.0

0.

872

7.85

2.78

1.03

5.

01—

—21

.45

15.5

33.

0

6.0

0 2.

29

2.01

10

.8

0.61

37.

192.

611.

07

4.54

—0.

988

25

7

2

5.2

6

.05

1.85

1.

84

11.0

0.

770

7.85

2.87

1.03

5.

19—

—20

.4

10.3

18.

9

4.2

8 1.

78

1.58

7.

710.

581

6.78

2.58

1.06

4.

45—

17.5

11

.7 1

7.2

3

.95

1.83

1.

64

7.12

0.54

84.

941.

950.

980

3.41

——

15.9

14

.3 1

4.9

3

.31

1.78

1.

51

5.94

0.48

54.

681.

871.

00

3.22

——

17.5

6

.9 1

2.5

3

.63

1.56

1.

56

6.58

0.70

24.

181.

690.

901

3.11

——

12.7

13

.2

7.83

2

.06

1.45

1.

20

3.70

0.40

83.

391.

460.

954

2.49

——

11.5

7

.3

5.03

1

.77

1.22

1.

15

3.19

0.44

72.

151.

030.

798

1.84

——

9.2

11

.8

3.51

1

.15

1.14

0.

941

2.07

0.34

11.

86 0

.932

0.83

11.

59—

8.6

3 5

2.13

1

.02

0.91

70.

914

1.85

0.40

11.

15 0

.648

0.67

51.

18—

— 6

.25

10

1.

27

0.5

520.

833

0.69

11.

010.

275

0.9

11 0

.547

0.70

5 0

.929

——

5

8

.7

0.68

1 0

.353

0.68

10.

569

0.6

500.

243

0.6

08 0

.405

0.64

3 0

.685

——

4.7

5 4

.3

0.47

0 0

.325

0.58

00.

553

0.5

920.

255

0.4

51 0

.323

0.56

9 0

.566

——

3.8

5 7

.3

0.31

6 0

.203

0.52

80.

448

0.3

810.

209

0.3

82 0

.287

0.58

1 0

.483

——

3.7

5 2

.8

0.20

4 0

.191

0.43

00.

432

0.3

510.

223

0.2

93 0

.234

0.51

6 0

.412

——

2.8

5 5

.7

0.11

8 0

.101

0.37

60.

329

0.1

960.

175

0.2

27 0

.195

0.52

2 0

.327

——

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

Tee

com

plie

s w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

XX

YYb

grip

t

y, y

t

d

f

f

w

p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

STR

UC

TU

RA

L T

EE

S (W

T, M

T, S

T)

1 -

89

Page 32: Structural Shapes

DO

UB

LE A

NG

LES

Two

equa

l leg

ang

les

Pro

pert

ies

of s

ectio

ns

Des

ign

atio

n

Wt.

per

ft

2 A

ng

les

Are

a o

f2

An

gle

s

Axi

s X

-X

IS

ry

Zy p

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L8×8

×11 ⁄ 8

114

33

.5

195

35

.1

2.42

2.41

63.2

1.

05

L8×8

×110

2

30.0

17

7

31.6

2.

442.

3756

.9

0.93

8L8

×8×1

7 ⁄ 8 9

0.0

26.5

15

9

28.0

2.

452.

3250

.5

0.82

7L8

×8×1

3 ⁄ 4 7

7.8

22.9

13

9

24.4

2.

472.

2843

.9

0.71

5L8

×8×1

5 ⁄ 8 6

5.4

19.2

11

8

20.6

2.

492.

2337

.1

0.60

1L8

×8×1

1 ⁄ 2 5

2.8

15.5

97

.316

.7

2.50

2.19

30.1

0.

484

L6×6

×1 7

4.8

22.0

70

.917

.1

1.80

1.86

30.9

0.

917

L8×8

×17 ⁄ 8

66.

219

.5

63.8

15.3

1.

811.

8227

.5

0.81

1L8

×8×1

3 ⁄ 4 5

7.4

16.9

56

.313

.3

1.83

1.78

24.0

0.

703

L8×8

×15 ⁄ 8

48.

414

.2

48.3

11.3

1.

841.

7320

.4

0.59

2L8

×8×1

1 ⁄ 2 3

9.2

11.5

39

.8 9

.23

1.86

1.68

16.6

0.

479

L8×8

×13 ⁄ 8

29.

8 8

.72

30.8

7.0

61.

881.

6412

.7

0.36

3

L5×5

×7 ⁄ 8 5

4.4

16.0

35

.510

.3

1.49

1.57

18.7

0.

798

L5×5

×3 ⁄ 4 4

7.2

13.9

31

.5 9

.06

1.51

1.52

16.3

0.

694

L5×5

×1 ⁄ 2 3

2.4

9.5

022

.5 6

.31

1.54

1.43

11.4

0.

475

L5×5

×3 ⁄ 8 2

4.6

7.2

217

.5 4

.84

1.56

1.39

8.7

20.

361

L5×5

×5 ⁄ 16

20.

6 6

.05

14.8

4.0

81.

571.

37 7

.35

0.30

3

L4×4

×3 ⁄ 4 3

7.0

10.9

15

.3 5

.62

1.19

1.27

10.1

0.

680

L5×5

×5 ⁄ 8 3

1.4

9.2

213

.3 4

.80

1.20

1.23

8.6

60.

576

L5×5

×1 ⁄ 2 2

5.6

7.5

011

.1 3

.95

1.22

1.18

7.1

20.

469

L5×5

×3 ⁄ 8 1

9.6

5.7

2

8.72

3.0

51.

231.

14 5

.49

0.35

7L5

×5×5 ⁄ 1

6 1

6.4

4.8

0

7.43

2.5

81.

241.

12 4

.64

0.30

0L5

×5×1 ⁄ 4

13.

2 3

.88

6.

08 2

.09

1.25

1.09

3.7

70.

242

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

92D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

DO

UB

LE A

NG

LES

Two

equa

l leg

ang

les

Pro

pert

ies

of s

ectio

ns

Des

ign

atio

n

Axi

s Y

-YQ

s*

Rad

ii o

f G

yrat

ion

An

gle

s in

Co

nta

ctA

ng

les

Sep

arat

ed

Bac

k to

Bac

k o

fA

ng

les,

in.

F y =

36 k

siF

y =

50 k

siF

y =

36 k

siF

y =

50 k

si0

3 ⁄⁄ 83 ⁄⁄ 4

L8×8

×11 ⁄ 8

3.42

3.55

3.69

——

——

L8×8

×13.

403.

533.

67—

——

—L8

×8×1

7 ⁄ 83.

383.

513.

64—

——

—L8

×8×1

3 ⁄ 43.

363.

493.

62—

——

—L8

×8×1

5 ⁄ 83.

343.

473.

60—

—0.

997

0.93

5L8

×8×1

1 ⁄ 23.

323.

453.

580.

995

0.92

10.

911

0.83

4

L6×6

×12.

592.

732.

87—

——

—L8

×8×1

7 ⁄ 82.

572.

702.

85—

——

—L8

×8×1

3 ⁄ 42.

552.

682.

82—

——

—L8

×8×1

5 ⁄ 82.

532.

662.

80—

——

—L8

×8×1

1 ⁄ 22.

512.

642.

78—

——

0.96

1L8

×8×1

3 ⁄ 82.

492.

622.

750.

995

0.92

10.

911

0.83

4

L5×5

×7 ⁄ 82.

162.

302.

45—

——

—L5

×5×3 ⁄ 4

2.14

2.28

2.42

——

——

L5×5

×1 ⁄ 22.

102.

242.

38—

——

—L5

×5×3 ⁄ 8

2.09

2.22

2.35

——

0.98

20.

919

L5×5

×5 ⁄ 16

2.08

2.21

2.34

0.99

50.

921

0.91

10.

834

L4×4

×3 ⁄ 41.

741.

882.

03—

——

—L5

×5×5 ⁄ 8

1.72

1.86

2.00

——

——

L5×5

×1 ⁄ 21.

701.

831.

98—

——

—L5

×5×3 ⁄ 8

1.68

1.81

1.95

——

——

L5×5

×5 ⁄ 16

1.67

1.80

1.94

——

0.99

70.

935

L5×5

×1 ⁄ 41.

661.

791.

930.

995

0.92

10.

911

0.83

4

*Whe

re n

o va

lue

ofQ

s is

sho

wn,

the

angl

es c

ompl

y w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

DO

UB

LE

AN

GL

ES

1 -

93

Page 33: Structural Shapes

DO

UB

LE A

NG

LES

Two

equa

l leg

ang

les

Pro

pert

ies

of s

ectio

ns

Des

ign

atio

n

Wt.

per

ft

2 A

ng

les

Are

a o

f2

An

gle

s

Axi

s X

-X

IS

ry

Zy p

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L31 ⁄ 2

×31 ⁄ 2

×3 ⁄ 817

.0

4.97

5.

73

2.30

1.

07

1.01

4.

15

0.35

5L3

1 ⁄ 2×3

1 ⁄ 2×5 ⁄ 1

614

.4

4.18

4.

90

1.95

1.

08

0.99

03.

52

0.29

9L3

1 ⁄ 2×3

1 ⁄ 2×1 ⁄ 4

11.6

3.

38

4.02

1.

59

1.09

0.

968

2.86

0.

241

L3×3

×1 ⁄ 218

.8

5.50

4.

43

2.14

0.

898

0.93

23.

87

0.45

8L3

×3×3 ⁄ 8

14.4

4.

22

3.52

1.

67

0.91

30.

888

3.00

0.

352

L3×3

×5 ⁄ 16

12.2

3.

55

3.02

1.

41

0.92

20.

865

2.55

0.

296

L3×3

×1 ⁄ 4 9

.80

2.88

2.

49

1.15

0.

930

0.84

22.

08

0.24

0L3

×3×3 ⁄ 1

6 7

.42

2.18

1.

92

0.88

20.

939

0.82

01.

59

0.18

2

L21 ⁄ 2

×21 ⁄ 2

×3 ⁄ 811

.8

3.47

1.

97

1.13

0.

753

0.76

22.

04

0.34

7L3

1 ⁄ 2×3

1 ⁄ 2×5 ⁄ 1

610

.0

2.93

1.

70

0.96

40.

761

0.74

01.

74

0.29

3L3

1 ⁄ 2×3

1 ⁄ 2×1 ⁄ 4

8.2

02.

38

1.41

0.

789

0.76

90.

717

1.42

0.

238

L31 ⁄ 2

×31 ⁄ 2

×3 ⁄ 16

6.1

41.

80

1.09

0.

606

0.77

80.

694

1.09

0.

180

L2×2

×3 ⁄ 8 9

.40

2.72

0.

958

0.70

20.

594

0.63

61.

27

0.34

0L3

×3×5 ⁄ 1

6 7

.84

2.30

0.

832

0.68

10.

601

0.61

41.

08

0.28

8L3

×3×1 ⁄ 4

6.3

81.

88

0.69

50.

494

0.60

90.

592

0.89

00.

234

L3×3

×3 ⁄ 16

4.8

81.

43

0.54

50.

381

0.61

70.

569

0.68

60.

179

L3×3

×1 ⁄ 8 3

.30

0.96

00.

380

0.26

10.

626

0.54

60.

471

0.12

1

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

94D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

DO

UB

LE A

NG

LES

Two

equa

l leg

ang

les

Pro

pert

ies

of s

ectio

ns

Des

ign

atio

n

Axi

s Y

-YQ

s*

Rad

ii o

f G

yrat

ion

An

gle

s in

Co

nta

ctA

ng

les

Sep

arat

ed

Bac

k to

Bac

k o

fA

ng

les,

in.

F y =

36 k

siF

y =

50 k

siF

y =

36 k

siF

y =

50 k

si0

3 ⁄⁄ 83 ⁄⁄ 4

L31 ⁄ 2

×31 ⁄ 2

×3 ⁄ 81.

48

1.61

1.

75—

——

—L3

1 ⁄ 2×3

1 ⁄ 2×5 ⁄ 1

61.

47

1.60

1.

74—

——

0.98

6L3

1 ⁄ 2×3

1 ⁄ 2×1 ⁄ 4

1.46

1.

59

1.73

—0.

982

0.96

50.

897

L3×3

×1 ⁄ 21.

29

1.43

1.

59—

——

—L3

×3×3 ⁄ 8

1.27

1.

41

1.56

——

——

L3×3

×5 ⁄ 16

1.26

1.

40

1.55

——

——

L3×3

×1 ⁄ 41.

26

1.39

1.

53—

——

0.96

1L3

×3×3 ⁄ 1

61.

25

1.38

1.

520.

995

0.92

10.

911

0.83

4

L21 ⁄ 2

×21 ⁄ 2

×3 ⁄ 81.

07

1.21

1.

36—

——

—L2

1 ⁄ 2×2

1 ⁄ 2×5 ⁄ 1

61.

06

1.20

1.

35—

——

—L2

1 ⁄ 2×2

1 ⁄ 2×1 ⁄ 4

1.05

1.

19

1.34

——

——

L21 ⁄ 2

×21 ⁄ 2

×3 ⁄ 16

1.04

1.

18

1.32

——

0.98

20.

919

L2×2

×3 ⁄ 80.

870

1.01

1.

17—

——

—L2

×2×5 ⁄ 1

60.

859

1.00

1.

16—

——

—L2

×2×1 ⁄ 4

0.84

90.

989

1.14

——

——

L2×2

×3 ⁄ 16

0.84

00.

977

1.13

——

——

L2×2

×1 ⁄ 80.

831

0.96

51.

110.

995

0.92

10.

911

0.83

4

*Whe

re n

o va

lue

ofQ

s is

sho

wn,

the

angl

es c

ompl

y w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

DO

UB

LE

AN

GL

ES

1 -

95

Page 34: Structural Shapes

DO

UB

LE A

NG

LES

Two

uneq

ual l

eg a

ngle

sP

rope

rtie

s of

sec

tions

Long

legs

bac

k to

bac

k

Des

ign

atio

n

Wt.

per

ft

2 A

ng

les

Are

a o

f2

An

gle

s

Axi

s X

-X

IS

ry

Zy p

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L8×6

×188

.426

.0

161

30

.2

2.49

2.65

54.5

1.

50

L8×6

×13 ⁄ 4

67.6

19.9

12

6

23.3

2.

532.

5642

.2

1.38

L8

×6×1

1 ⁄ 246

.013

.5

88.6

16.0

2.

562.

4729

.1

1.25

L8×4

×174

.822

.0

139

28

.1

2.52

3.05

48.5

2.

50

L8×6

×13 ⁄ 4

57.4

16.9

10

9

21.8

2.

552.

9537

.7

2.38

L8

×6×1

1 ⁄ 239

.211

.5

77.

015

.0

2.59

2.86

26.1

2.

25

L7×4

×3 ⁄ 452

.415

.4

75.

616

.8

2.22

2.51

29.6

1.

88

L7×4

×1 ⁄ 235

.810

.5

53.

311

.6

2.25

2.42

20.6

1.

75

L7×4

×3 ⁄ 827

.2 7

.97

41.

1 8

.88

2.27

2.37

15.7

1.

69

L6×4

×3 ⁄ 447

.213

.9

49.

012

.5

1.88

2.08

22.3

1.

38

L7×4

×5 ⁄ 840

.011

.7

42.

110

.6

1.90

2.03

19.0

1.

31

L7×4

×1 ⁄ 232

.4 9

.50

34.

8 8

.67

1.91

1.99

15.6

1.

25

L7×4

×3 ⁄ 824

.6 7

.22

26.

9 6

.64

1.93

1.94

11.9

1.

19

L6×3

1 ⁄ 2×3 ⁄ 8

23.4

6.8

4 2

5.7

6.4

91.

942.

0411

.5

1.44

L6

×31 ⁄ 2

×5 ⁄ 16

19.6

5.7

4 2

1.8

5.4

71.

952.

01 9

.70

1.41

L5×3

1 ⁄ 2×3 ⁄ 4

39.6

11.6

2

7.8

8.5

51.

551.

7515

.3

1.13

L6

×31 ⁄ 2

×1 ⁄ 227

.2 8

.00

20.

0 5

.97

1.58

1.66

10.8

1.

00

L6×3

1 ⁄ 2×3 ⁄ 8

20.8

6.0

9 1

5.6

4.5

91.

601.

61 8

.28

0.93

8L6

×31 ⁄ 2

×5 ⁄ 16

17.4

5.1

2 1

3.2

3.8

71.

611.

59 6

.99

0.90

6

L5×3

×1 ⁄ 225

.6 7

.50

18.

9 5

.82

1.59

1.75

10.3

1.

25

L7×4

×3 ⁄ 819

.6 5

.72

14.

7 4

.47

1.61

1.70

7.9

51.

19

L7×4

×5 ⁄ 16

16.4

4.8

0 1

2.5

3.7

71.

611.

68 6

.71

1.16

L7

×4×1 ⁄ 4

13.2

3.8

8 1

0.2

3.0

61.

621.

66 5

.45

1.13

X

Y

X

Y

s

y, y p A

ME

RIC

AN

IN

STIT

UT

E O

F S

TE

EL C

ON

STR

UC

TIO

N

1 -

96D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

DO

UB

LE A

NG

LES

Two

uneq

ual l

eg a

ngle

sP

rope

rtie

s of

sec

tions

Long

legs

bac

k to

bac

k

Des

ign

atio

n

Axi

s Y

-YQ

s*

Rad

ii o

f G

yrat

ion

An

gle

s in

Co

nta

ctA

ng

les

Sep

arat

ed

Bac

k to

Bac

k o

fA

ng

les,

in.

F y =

36 k

siF

y =

50 k

siF

y =

36 k

siF

y =

50 k

si0

3 ⁄⁄ 83 ⁄⁄ 4

L8×6

×12.

392.

522.

66—

——

—L8

×6×1

3 ⁄ 42.

352.

482.

62—

——

—L8

×6×1

1 ⁄ 22.

322.

442.

57—

—0.

911

0.83

4

L8×4

×11.

471.

611.

75—

——

—L8

×4×1

3 ⁄ 41.

421.

551.

69—

——

—L8

×4×1

1 ⁄ 21.

381.

511.

64—

—0.

911

0.83

4

L7×4

×3 ⁄ 41.

481.

621.

76—

——

—L7

×4×1 ⁄ 2

1.44

1.57

1.71

——

0.96

50.

897

L7×4

×3 ⁄ 81.

431.

551.

68—

—0.

839

0.75

0

L6×4

×3 ⁄ 41.

551.

691.

83—

——

—L7

×4×5 ⁄ 8

1.53

1.67

1.81

——

——

L7×4

×1 ⁄ 21.

511.

641.

78—

——

0.96

1L7

×4×3 ⁄ 8

1.5

1.62

1.76

——

0.91

10.

834

L6×3

1 ⁄ 2×3 ⁄ 8

1.26

1.39

1.53

——

0.91

10.

834

L6×3

1 ⁄ 2×5 ⁄ 1

61.

261.

381.

51—

—0.

825

0.73

3

L5×3

1 ⁄ 2×3 ⁄ 4

1.40

1.53

1.68

——

——

L6×3

1 ⁄ 2×1 ⁄ 2

1.35

1.49

1.63

——

——

L6×3

1 ⁄ 2×3 ⁄ 8

1.34

1.46

1.60

——

0.98

20.

919

L6×3

1 ⁄ 2×5 ⁄ 1

61.

331.

451.

59—

—0.

911

0.83

4

L5×3

×1 ⁄ 21.

121.

251.

40—

——

—L7

×4×3 ⁄ 8

1.10

1.23

1.37

——

0.98

20.

919

L7×4

×5 ⁄ 16

1.09

1.22

1.36

——

0.91

10.

834

L7×4

×1 ⁄ 41.

081.

211.

34—

—0.

804

0.70

8

*Whe

re n

o va

lue

of Q

s is

sho

wn

the

angl

es c

ompl

y w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

DO

UB

LE

AN

GL

ES

1 -

97

Page 35: Structural Shapes

DO

UB

LE A

NG

LES

Two

uneq

ual l

eg a

ngle

sP

rope

rtie

s of

sec

tions

Long

legs

bac

k to

bac

k

Des

ign

atio

n

Wt.

per

ft

2 A

ng

les

Are

a o

f2

An

gle

s

Axi

s X

-X

IS

ry

Zy p

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L4×3

1 ⁄ 2×1 ⁄ 2

23.8

7.

0010

.6

3.87

1.

23

1.25

7.

000.

500

L4×3

1 ⁄ 2×3 ⁄ 8

18.2

5.

34 8

.35

2.99

1.

25

1.21

5.

420.

438

L4×3

1 ⁄ 2×5 ⁄ 1

615

.4

4.49

7.1

22.

53

1.26

1.

18

4.59

0.40

6L4

×31 ⁄ 2

×1 ⁄ 412

.4

3.63

5.8

32.

05

1.27

1.

16

3.73

0.37

5

L4×3

×1 ⁄ 222

.2

6.50

10.1

3.

78

1.25

1.

33

6.81

0.75

0L4

×3×3 ⁄ 8

17.0

4.

97 7

.93

2.92

1.

26

1.28

5.

280.

688

L4×3

×5 ⁄ 16

14.4

4.

18 6

.76

2.47

1.

27

1.26

4.

470.

656

L4×3

×1 ⁄ 411

.6

3.38

5.5

42.

00

1.28

1.

24

3.63

0.62

5

L31 ⁄ 2

×3×3 ⁄ 8

15.8

4.

59 5

.45

2.25

1.

09

1.08

4.

080.

438

L4×3

1 ⁄ 2×5 ⁄ 1

613

.2

3.87

4.6

61.

91

1.10

1.

06

3.46

0.40

6L4

×31 ⁄ 2

×1 ⁄ 410

.8

3.13

3.8

31.

55

1.11

1.

04

2.82

0.37

5

L31 ⁄ 2

×21 ⁄ 2

×3 ⁄ 814

.4

4.22

5.1

22.

19

1.10

1.

16

3.94

0.68

8L3

1 ⁄ 2×2

1 ⁄ 2×1 ⁄ 4

9.8

02.

88 3

.60

1.51

1.

12

1.11

2.

730.

625

L3×2

1 ⁄ 2×3 ⁄ 8

13.2

3.

84 3

.31

1.62

0.

928

0.95

62.

930.

438

L4×3

1 ⁄ 2×1 ⁄ 4

9.0

02.

63 2

.35

1.12

0.

945

0.91

12.

040.

375

L4×3

1 ⁄ 2×5 ⁄ 1

6 6

.77

1.99

1.8

10.

859

0.95

40.

888

1.56

0.34

4

L3×2

×3 ⁄ 811

.8

3.47

3.0

61.

56

0.94

01.

04

2.79

0.68

8L4

×3×5 ⁄ 1

610

.0

2.93

2.6

31.

33

0.94

81.

02

2.38

0.65

6L4

×3×1 ⁄ 4

8.2

02.

38 2

.17

1.08

0.

957

0.99

31.

950.

625

L4×3

×3 ⁄ 16

6.1

41.

80 1

.68

0.83

00.

966

0.97

01.

490.

594

L21 ⁄ 2

×2×3 ⁄ 8

10.6

3.

09 1

.82

1.09

0.

768

0.83

11.

970.

438

L4×3

1 ⁄ 2×5 ⁄ 1

6 9

.00

2.62

1.5

80.

932

0.77

60.

809

1.69

0.40

6L4

×31 ⁄ 2

×1 ⁄ 4 7

.24

2.13

1.3

10.

763

0.78

40.

787

1.38

0.37

5L4

×31 ⁄ 2

×3 ⁄ 16

5.5

01.

62 1

.02

0.58

60.

793

0.76

41.

060.

344

X

Y

X

Y

s

y, y p A

ME

RIC

AN

IN

STIT

UT

E O

F S

TE

EL C

ON

STR

UC

TIO

N

1 -

98D

IME

NSI

ON

S A

ND

PR

OPE

RT

IES

DO

UB

LE A

NG

LES

Two

uneq

ual l

eg a

ngle

sP

rope

rtie

s of

sec

tions

Long

legs

bac

k to

bac

k

Des

ign

atio

n

Axi

s Y

-YQ

s*

Rad

ii o

f G

yrat

ion

An

gle

s in

Co

nta

ctA

ng

les

Sep

arat

ed

Bac

k to

Bac

k o

fA

ng

les,

in.

F y =

36 k

siF

y =

50 k

siF

y =

36 k

siF

y =

50 k

si0

3 ⁄⁄ 83 ⁄⁄ 4

L4×3

1 ⁄ 2×1 ⁄ 2

1.44

1.

58

1.72

——

——

L4×3

1 ⁄ 2×3 ⁄ 8

1.42

1.

56

1.70

——

——

L4×3

1 ⁄ 2×5 ⁄ 1

61.

42

1.55

1.

69—

—0.

997

0.93

5L4

×31 ⁄ 2

×1 ⁄ 41.

41

1.54

1.

67—

0.98

20.

911

0.83

4

L4×3

×1 ⁄ 21.

20

1.33

1.

48—

——

—L4

×3×3 ⁄ 8

1.18

1.

31

1.45

——

——

L4×3

×5 ⁄ 16

1.17

1.

30

1.44

——

0.99

70.

935

L4×3

×1 ⁄ 41.

16

1.29

1.

43—

—0.

911

0.83

4

L31 ⁄ 2

×3×3 ⁄ 8

1.22

1.

36

1.50

——

——

L4×3

1 ⁄ 2×5 ⁄ 1

61.

21

1.35

1.

49—

——

0.98

6L4

×31 ⁄ 2

×1 ⁄ 41.

20

1.33

1.

48—

—0.

965

0.89

7

L31 ⁄ 2

×21 ⁄ 2

×3 ⁄ 80.

976

1.11

1.

26—

——

—L3

1 ⁄ 2×2

1 ⁄ 2×1 ⁄ 4

0.95

81.

09

1.23

——

0.96

50.

897

L3×2

1 ⁄ 2×3 ⁄ 8

1.02

1.

16

1.31

——

——

L4×3

1 ⁄ 2×1 ⁄ 4

1.00

1.

13

1.28

——

—0.

961

L4×3

1 ⁄ 2×5 ⁄ 1

60.

993

1.12

1.

27—

—0.

911

0.83

4

L3×2

×3 ⁄ 80.

777

0.91

71.

07—

——

—L4

×3×5 ⁄ 1

60.

767

0.90

31.

06—

——

—L4

×3×1 ⁄ 4

0.75

70.

891

1.04

——

—0.

961

L4×3

×3 ⁄ 16

0.74

90.

879

1.03

——

0.91

10.

834

L21 ⁄ 2

×2×3 ⁄ 8

0.81

90.

961

1.12

——

——

L4×3

1 ⁄ 2×5 ⁄ 1

60.

809

0.94

81.

10—

——

—L4

×31 ⁄ 2

×1 ⁄ 40.

799

0.93

51.

09—

——

—L4

×31 ⁄ 2

×3 ⁄ 16

0.79

00.

923

1.07

——

0.98

20.

919

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

angl

es c

ompl

y w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

DO

UB

LE

AN

GL

ES

1 -

99

Page 36: Structural Shapes

DO

UB

LE A

NG

LES

Two

uneq

ual l

eg a

ngle

sP

rope

rtie

s of

sec

tions

Sho

rt le

gs b

ack

to b

ack

Des

ign

atio

n

Wt.

per

ft

2 A

ng

les

Are

a o

f2

An

gle

s

Axi

s X

-X

IS

ry

Zy p

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L8×6

×188

.426

.0

77.6

17

.8

1.73

1.

65

32.4

0.

813

L8×6

×13 ⁄ 4

67.6

19.9

61

.4

13.8

1.

76

1.56

24

.9

0.62

1L8

×6×1

1 ⁄ 246

.013

.5

43.4

9

.58

1.79

1.

47

17.0

0.

422

L8×4

×174

.822

.0

23.3

7

.88

1.03

1.

05

15.4

0.

688

L8×6

×13 ⁄ 4

57.4

16.9

18

.7

6.1

41.

05

0.95

311

.6

0.52

7L8

×6×1

1 ⁄ 239

.211

.5

13.5

4

.29

1.08

0.

859

7.8

00.

359

L7×4

×3 ⁄ 452

.415

.4

18.1

6

.05

1.09

1.

01

11.3

0.

549

L5×3

×1 ⁄ 235

.810

.5

13.1

4

.23

1.11

0.

917

7.6

60.

375

L5×3

×3 ⁄ 827

.2 7

.97

10.2

3

.26

1.13

0.

870

5.8

00.

285

L6×4

×3 ⁄ 447

.213

.9

17.4

5

.94

1.12

1.

08

10.9

0.

578

L5×3

×5 ⁄ 840

.011

.7

15.0

5

.07

1.13

1.

03

9.2

40.

488

L5×3

×1 ⁄ 232

.4 9

.50

12.5

4

.16

1.15

0.

987

7.5

00.

396

L5×3

×3 ⁄ 824

.6 7

.22

9.8

1 3

.21

1.17

0.

941

5.7

10.

301

L6×3

1 ⁄ 2×3 ⁄ 8

23.4

6.8

4 6

.68

2.4

60.

988

0.78

7 4

.41

0.28

5L6

×31 ⁄ 2

×5 ⁄ 16

19.6

5.7

4 5

.70

2.0

80.

996

0.76

3 3

.70

0.23

9

L5×3

1 ⁄ 2×3 ⁄ 4

39.6

11.6

11

.1

4.4

30.

977

0.99

6 8

.20

0.58

1L6

×31 ⁄ 2

×1 ⁄ 227

.2 8

.00

8.1

0 3

.12

1.01

0.

906

5.6

50.

400

L6×3

1 ⁄ 2×3 ⁄ 8

20.8

6.0

9 6

.37

2.4

11.

02

0.86

1 4

.32

0.30

5L6

×31 ⁄ 2

×5 ⁄ 16

17.4

5.1

2 5

.44

2.0

41.

03

0.83

8 3

.63

0.25

6

L5×3

×1 ⁄ 225

.6 7

.50

5.1

6 2

.29

0.82

90.

750

4.2

20.

375

L5×3

×3 ⁄ 819

.6 5

.72

4.0

8 1

.78

0.84

50.

704

3.2

10.

286

L5×3

×5 ⁄ 16

16.4

4.8

0 3

.49

1.5

10.

853

0.68

1 2

.69

0.24

0L5

×3×1 ⁄ 4

13.2

3.8

8 2

.88

1.2

30.

861

0.65

7 2

.17

0.19

4

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

100

DIM

EN

SIO

NS

AN

D P

RO

PER

TIE

S

DO

UB

LE A

NG

LES

Two

uneq

ual l

eg a

ngle

sP

rope

rtie

s of

sec

tions

Sho

rt le

gs b

ack

to b

ack

Des

ign

atio

n

Axi

s Y

-YQ

s*

Rad

ii o

f G

yrat

ion

An

gle

s in

Co

nta

ctA

ng

les

Sep

arat

ed

Bac

k to

Bac

k o

fA

ng

les,

in.

F y =

36 k

siF

y =

50 k

siF

y =

36 k

siF

y =

50 k

si0

3 ⁄⁄ 83 ⁄⁄ 4

L8×6

×13.

643.

783.

92—

——

—L8

×6×1

3 ⁄ 43.

603.

743.

88—

——

—L8

×6×1

1 ⁄ 23.

563.

693.

830.

995

0.92

10.

911

0.83

4

L8×4

×13.

954.

104.

25—

——

—L8

×4×1

3 ⁄ 43.

904.

054.

19—

——

—L8

×4×1

1 ⁄ 23.

864.

004.

140.

995

0.92

10.

911

0.83

4

L7×4

×3 ⁄ 43.

353.

493.

64—

——

L7×4

×1 ⁄ 23.

303.

443.

59—

0.98

20.

965

0.89

7L7

×4×3 ⁄ 8

3.28

3.42

3.56

0.92

60.

838

0.83

90.

750

L6×4

×3 ⁄ 42.

802.

943.

09—

——

—L7

×4×5 ⁄ 8

2.78

2.92

3.06

——

——

L7×4

×1 ⁄ 22.

762.

903.

04—

——

0.96

1L7

×4×3 ⁄ 8

2.74

2.87

3.02

0.99

50.

921

0.91

10.

834

L6×3

1 ⁄ 2×3 ⁄ 8

2.81

2.95

3.09

0.99

50.

921

0.91

10.

834

L6×3

1 ⁄ 2×5 ⁄ 1

62.

802.

943.

080.

912

0.82

20.

825

0.73

3

L5×3

1 ⁄ 2×3 ⁄ 4

2.33

2.48

2.63

——

——

L6×3

1 ⁄ 2×1 ⁄ 2

2.29

2.43

2.57

——

——

L6×3

1 ⁄ 2×3 ⁄ 8

2.27

2.41

2.55

——

0.98

20.

919

L6×3

1 ⁄ 2×5 ⁄ 1

62.

262.

392.

540.

995

0.92

10.

911

0.83

4

L5×3

×1 ⁄ 22.

362.

502.

65—

——

—L5

×3×3 ⁄ 8

2.34

2.48

2.63

——

0.98

20.

919

L5×3

×5 ⁄ 16

2.33

2.47

2.61

0.99

50.

921

0.91

10.

834

L5×3

×1 ⁄ 42.

322.

462.

600.

891

0.79

70.

804

0.70

8

*Whe

re n

o va

lue

of Q

s is

sho

wn,

the

angl

es c

ompl

y w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

DO

UB

LE

AN

GL

ES

1 -

101

Page 37: Structural Shapes

DO

UB

LE A

NG

LES

Two

uneq

ual l

eg a

ngle

sP

rope

rtie

s of

sec

tions

Sho

rt le

gs b

ack

to b

ack

Des

ign

atio

n

Wt.

per

ft

2 A

ng

les

Are

a o

f2

An

gle

s

Axi

s X

-X

IS

ry

Zy p

lbin

.2in

.4in

.3in

.in

.in

.3in

.

L4×3

1 ⁄ 2×1 ⁄ 2

23.8

7.

007.

58

3.03

1.

04

1.00

5.

47

0.43

8L4

×31 ⁄ 2

×3 ⁄ 818

.2

5.34

5.97

2.

35

1.06

0.

955

4.21

0.

334

L4×3

1 ⁄ 2×5 ⁄ 1

615

.4

4.49

5.10

1.

99

1.07

0.

932

3.56

0.

281

L4×3

1 ⁄ 2×1 ⁄ 4

12.4

3.

634.

19

1.62

1.

07

0.90

92.

89

0.22

7

L4×3

×1 ⁄ 222

.2

6.50

4.85

2.

23

0.86

40.

827

4.06

0.

406

L3×2

×3 ⁄ 817

.0

4.97

3.84

1.

73

0.87

90.

782

3.11

0.

311

L3×2

×5 ⁄ 16

14.4

4.

183.

29

1.47

0.

887

0.75

92.

63

0.26

1L3

×2×1 ⁄ 4

11.6

3.

382.

71

1.20

0.

896

0.73

62.

13

0.21

1

L31 ⁄ 2

×3×3 ⁄ 8

15.8

4.

593.

69

1.70

0.

897

0.83

03.

06

0.32

8L4

×31 ⁄ 2

×5 ⁄ 16

13.2

3.

873.

17

1.44

0.

905

0.80

82.

59

0.27

6L4

×31 ⁄ 2

×1 ⁄ 410

.8

3.13

2.61

1.

18

0.91

40.

785

2.10

0.

223

L31 ⁄ 2

×21 ⁄ 2

×3 ⁄ 814

.4

4.22

2.18

1.

18

0.71

90.

660

2.15

0.

301

L31 ⁄ 2

×21 ⁄ 2

×1 ⁄ 4 9

.80

2.88

1.55

0.

824

0.73

50.

614

1.47

0.

205

L3×2

1 ⁄ 2×3 ⁄ 8

13.2

3.

842.

08

1.16

0.

736

0.70

62.

10

0.32

0L4

×31 ⁄ 2

×1 ⁄ 4 9

.00

2.63

1.49

0.

808

0.75

30.

661

1.45

0.

219

L4×3

1 ⁄ 2×3 ⁄ 1

6 6

.77

1.99

1.15

0.

620

0.76

10.

638

1.11

0.

166

L3×2

×3 ⁄ 811

.8

3.47

1.09

0.

743

0.55

90.

539

1.37

0.

289

L3×2

×5 ⁄ 16

10.0

2.

930.

941

0.63

40.

567

0.51

61.

16

0.24

4L3

×2×1 ⁄ 4

8.2

02.

380.

784

0.52

00.

574

0.49

30.

937

0.19

8L3

×2×3 ⁄ 1

6 6

.14

1.80

0.61

30.

401

0.58

30.

470

0.71

30.

150

L21 ⁄ 2

×2×3 ⁄ 8

10.6

3.

091.

030.

725

0.57

70.

581

1.32

0.

309

L4×3

1 ⁄ 2×5 ⁄ 1

6 9

.00

2.62

0.89

30.

620

0.58

40.

559

1.12

0.

262

L4×3

1 ⁄ 2×1 ⁄ 4

7.2

42.

130.

745

0.50

90.

592

0.53

70.

915

0.21

3L4

×31 ⁄ 2

×3 ⁄ 16

5.5

01.

620.

583

0.39

20.

600

0.51

40.

701

0.16

2

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

1 -

102

DIM

EN

SIO

NS

AN

D P

RO

PER

TIE

S

DO

UB

LE A

NG

LES

Two

uneq

ual l

eg a

ngle

sP

rope

rtie

s of

sec

tions

Sho

rt le

gs b

ack

to b

ack

Des

ign

atio

n

Axi

s Y

-YQ

s*

Rad

ii o

f G

yrat

ion

An

gle

s in

Co

nta

ctA

ng

les

Sep

arat

ed

Bac

k to

Bac

k o

fA

ng

les,

in.

F y =

36 k

siF

y =

50 k

siF

y =

36 k

siF

y =

50 k

si0

3 ⁄⁄ 83 ⁄⁄ 4

L4×3

1 ⁄ 2×1 ⁄ 2

1.76

1.89

2.04

——

——

L4×3

1 ⁄ 2×3 ⁄ 8

1.74

1.87

2.01

——

——

L4×3

1 ⁄ 2×5 ⁄ 1

61.

731.

862.

00—

—0.

997

0.93

5L4

×31 ⁄ 2

×1 ⁄ 41.

721.

851.

990.

995

0.92

10.

911

0.83

4

L4×3

×1 ⁄ 21.

821.

962.

11—

——

—L3

×2×3 ⁄ 8

1.80

1.94

2.08

——

——

L3×2

×5 ⁄ 16

1.79

1.93

2.07

——

0.99

70.

935

L3×2

×1 ⁄ 41.

781.

922.

060.

995

0.92

10.

911

0.83

4

L31 ⁄ 2

×3×3 ⁄ 8

1.53

1.67

1.82

——

——

L4×3

1 ⁄ 2×5 ⁄ 1

61.

521.

661.

80—

——

0.98

6L4

×31 ⁄ 2

×1 ⁄ 41.

521.

651.

79—

0.98

20.

965

0.89

7

L31 ⁄ 2

×21 ⁄ 2

×3 ⁄ 81.

601.

741.

89—

——

—L3

1 ⁄ 2×2

1 ⁄ 2×1 ⁄ 4

1.58

1.72

1.86

—0.

982

0.96

50.

897

L3×2

1 ⁄ 2×3 ⁄ 8

1.33

1.47

1.62

——

——

L4×3

1 ⁄ 2×1 ⁄ 4

1.31

1.45

1.60

——

—0.

961

L4×3

1 ⁄ 2×3 ⁄ 1

61.

301.

441.

580.

995

0.92

10.

911

0.83

4

L3×2

×3 ⁄ 81.

401.

551.

70—

——

—L3

×2×5 ⁄ 1

61.

391.

531.

68—

——

—L3

×2×1 ⁄ 4

1.38

1.52

1.67

——

—0.

961

L3×2

×3 ⁄ 16

1.37

1.51

1.66

0.99

50.

921

0.91

10.

834

L21 ⁄ 2

×2×3 ⁄ 8

1.13

1.28

1.43

——

——

L4×3

1 ⁄ 2×5 ⁄ 1

61.

121.

261.

42—

——

—L4

×31 ⁄ 2

×1 ⁄ 41.

111.

251.

40—

——

—L4

×31 ⁄ 2

×3 ⁄ 16

1.10

1.24

1.39

——

0.98

20.

911

*Whe

re n

o va

lue

of Q

s is

sho

wn

the

angl

es c

ompl

y w

ith L

RF

D S

peci

ficat

ion

Sec

tion

E2.

X

Y

X

Y

s

y, y p

AM

ER

ICA

N I

NST

ITU

TE

OF S

TE

EL C

ON

STR

UC

TIO

N

DO

UB

LE

AN

GL

ES

1 -

103