Hollow Structural Sections - Independence Tube design wall thickness, t, ... The round Hollow...

HSS Hollow Structural Sections

HSS:TECHNICAL BROCHURE

©2013 Steel Tube Institute2516 Waukegan Road, Suite 172Glenview, IL 60025 TEL: 847.461.1701FAX: 847.660.7981

DIMENSIONS AND SECTION PROPERTIES


Technical Brochure: Dimensions & Section Properties

STEELTUBEINSTITUTE.ORG/HSS

The transformation of steel strip into hollow structural sections (HSS) is the result of a series of operations including forming, welding and sizing. Currently three methods are being used in North America for the manufacture of HSS. These methods are described below. Each method meets ASTM A-500 and CSA G-40.21-92 requirements for the the manufacture of HSS, and the sizes listed in this brochure may be produced to either standard.

Electric Resistance Welding (ERW) Process In the tube mill, flat steel strip (1) is formed continuously around its longitudinal axis to produce a round tube. This is done by moving the strip through a progressive set of rolls (2-6). The strip edges (7) are heated by either high frequency induction or contact welding and then forged together by weld rolls to create a continuous longitudinal weld without the addition of filler metal. The weld seam (8) is then cooled and processed through a set of sizing shaping rolls which cold-form it into a round (9), square (10) or rectangular (11) section.

Form-Square Weld-Square (ERW) ProcessIn the tube mill, flat steel strip (1) is formed continuously around its longitudinal axis to produce a round tube. This is done by moving the strip through a progressive set of rolls (2-6). The strip edges (7) are heated by either high frequency induction or contact welding and then forged together by weld rolls to create a continuous longitudinal weld without the addition of filler metal. The weld seam (8) is then cooled and processed through a set of sizing shaping rolls which cold-form it into a round (9), square (10) or rectangular (11) section.

Submerged Arc Weld (SAW) ProcessIn the tube mill, flat steel strip (1) is formed continuously around its longitudinal axis to produce a round tube. This is done by moving the strip through a progressive set of rolls (2-6). The strip edges (7) are heated by either high frequency induction or contact welding and then forged together by weld rolls to create a continuous longitudinal weld without the addition of filler metal. The weld seam (8) is then cooled and processed through a set of sizing shaping rolls which cold-form it into a round (9), square (10) or rectangular (11) section.

HSS Manufacturing Methods




This publication presents tables of dimensions and section properties for rectangular, square, and round Hollow Structural Sections (HSS). HSS with a maximum periphery of 64 inches are manufactured by the electric-resistance welding (ERW) process. HSS with peripheries greater than 64 inches are manufactured by the submerged arc welding (SAW) process. See HSS Manufacturing Methods inside front cover in this publication.

The dimensions, including nominal width, nominal depth, nominal diameter and nominal wall thickness are subject to the permissible variations stipulated in ASTM A500 “Standard Specification for Cold-Formed Welded and Seamless Carbon Steel Structural Tubing in Rounds and Shapes”. With today’s manufacturing methods, HSS are produced with more precision than in the past.

The strip used to produce HSS is now ordered to thicknesses with tighter tolerances. As a result, ERW HSS manufactured to A500 will often have a wall thickness close to the Specification allowable value. In a change from past practice, section property data is now based upon the design wall thickness.

The design wall thickness, t, for ERW HSS is less than the specified nominal wall thickness. For SAW HSS, the design wall thickness, t, is equal to the specified nominal wall thickness.The design wall thickness for each HSS size is included in the tabulated data.

The section property data based upon the design wall thickness, t, results in variations in the published area data that do not exceed 3.50% of the data based upon the minimum permissible wall thickness stipulated in ASTM A500. This is consistent with the similar section property data published for hot rolled structural shapes and the manufacturing tolerances associated with those products.

The section property data for rectangular and square ERW HSS are based upon outside corner radii equal to 2.0 times the design wall thickness. The section property data for rectangular and square SAW HSS are based upon outside corner radii equal to 3.6 times the design wall thickness for SAW sections with 5/8 inch nominal wall thicknesses; and 3.0 times the design wall thickness for SAW sections with nominal wall thicknesses equal to 1/2 inch and 3/8 inch.

General availability information for each size of HSS manufactured to ASTM A500 Grade B is contained in The Steel Tube Institute’s companion publication “Principal Producers and Capabilities”. Tables, summarizing the capabilities of principal producers by specific size and wall thickness, are included for rectangular, square and round HSS.

NOTE: The more universal terms “Hollow Structural Section”and “HSS”are used in this publication to designate rectangular, square and round structural steel tubing. These terms replace “structural tubing”and “pipe”, which had been used previously. The round Hollow Structural Sections include typical “pipe” size diameters and wall thicknesses, as well as typical HSS sizes.

Foreword

TITLE IF NECESSARY

Note: The information presented in this publication has been prepared in accordance with recognized engineering principles and is for general information only.While it is believed to be accurate, this information should not be used or relied upon for any specific application without competent professional examination and verification of its accuracy, suitability, and applicability by a licensed professional engineer, designer, or architect.The publication of the material contained herein is not intended as a representation or warranty on the part of The Steel Tube Institute of North America or of any other person named herein, that this information is suitable for any general or particular use or of freedom from infringement of any patent or patents.Anyone making use of this information assumes all liability arising from such use.

Caution must be exercised when relying upon other specifications and codes developed by other bodies and incorporated by reference herein since such material may be modified or amended from time to time subsequent to the printing of this edition.The Institute bears no responsibility for such material other than to refer to it and incorporate it by reference at the time of the initial publication of this edition.




Dimensions and Sections Properties of Rectangle HSS

Dimensions and Sections Properties of Square HSS

Dimensions and Sections Properties of Round HSS

Nominal width minus 3 times the design wall thickness, t (in.)

Torsional shear constant of cross-section (in.3)

Outside diameter of round HSS (in.)

Nominal depth minus 3 times the design wall thickness, t (in.)

Moment of inertia of cross-section (in.4)

Moment of inertia of cross-section about the X-X axis (in.4)

Moment of inertia of cross-section about the Y-Y axis (in.4)

Torsional stiffness constant of cross-section (in.4)

Governing radius of gyration (in.)

Table of Contents

Nomenclature

2

b

h

18

D

Ix

14

C

I

2 14

Iy

Radius of gyration with respect to the X-X axis (in.)

Radius of gyration with respect to the Y-Y axis (in.)

Elastic section modulus (in.3)

Elastic section modulus about the X-X axis (in.3)

Elastic section modulus about the Y-Y axis (in.3)

Design wall thickness (in.)... “units added”

Plastic section modulus (in.3)

Plastic section modulus about the X-X axis (in.3)

Plastic section modulus about the Y-Y axis (in.3)

rx

ry

S

Sx

Sy

t

Z

J

r

Zx

Zy

2

DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSS

Y

Y

X X


in. in. in. Ib. in. in.2

66.453.940.8

63.951.939.3

61.449.937.8

58.947.936.3

53.943.933.3

48.939.930.3

in.4 in.3 in. in.3 in.4 in.3 ft.2

Y

Y

X X

639052804050

605050003840

571047303630

537044503420

411034202630

306025601970

12600101007670

1140092206990

1030083306320

924074605660

715057804390

540043703330

in.4 in.3 in. in.3

617510391

565468359

515426327

466386297

390325250

321269207

988081606250

848070105380

721059704580

606050203860

468039003000

353029502280

12.212.312.4

11.511.611.7

10.810.911.0

10.110.210.3

9.339.429.49

8.518.608.67

733601458

668548418

605497379

545448342

458378289

379313240

533440337

504417320

476394302

447371285

373311239

306256197

9.819.899.96

9.739.829.88

9.659.739.79

9.559.649.70

8.738.828.89

7.918.008.07

604495378

575472360

546448342

517425324

432356273

355294225

913739560

854692524

796645489

737598453

621504383

514418318

9.019.129.17

8.688.798.84

8.348.458.51

8.018.128.17

7.347.457.51

6.686.796.84

32

30

28

26

24

22

x

x

x

x

x

x

24

24

24

24

22

20

x

x

x

x

x

x

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

225.80183.50138.95

217.30176.70133.84

208.79169.89128.74

200.28163.08123.64

183.27149.47113.43

166.25135.86103.22

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

35.445.061.0

35.445.061.0

35.445.061.0

35.445.061.0

35.445.061.0

35.445.061.0

48.261.082.3

45.057.077.0

41.853.071.7

38.649.066.3

35.445.061.0

32.241.055.7

Nominal Size Weight per

Foot

WallThickness

t

b/t h/t Y-Y Axis

ly Sy ry Zy

TorsionalStiffnessConstant

J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

This size produced by the submerged arc weld (SAW) process

3


Y

Y

X X


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

43.935.927.3

41.433.925.8

35.028.321.518.1

30.324.618.715.7

20.916.013.410.8

33.927.921.3

25.720.916.013.410.8

221018501440

168014101100

851705547464

338283222189

58.747.641.234.3

783668524

15813410691.375.1

396032202450

328026702040

189015401180997

916757586496

195156134111

174014301100

462387302257210

259218169

236199154

188155120101

14411992.678.6

83.865.756.045.8

161138108

10385.666.957.046.5

259021801690

236019901540

1880155012001010

14401190926786

838657560458

14501240971

923770602513419

7.697.787.85

7.557.657.72

7.337.397.457.48

6.896.967.037.07

6.336.426.466.50

6.556.676.75

6.006.076.156.186.22

307255196

283236181

230188144122

18515211798.6

11589.375.661.5

199168130

13511286.473.159.4

245206160

210177137

14211791.177.3

84.670.855.647.4

29.323.820.617.1

13111187.3

52.744.635.530.425.0

7.107.197.25

6.376.466.52

4.934.995.045.07

3.343.393.443.47

1.681.731.751.78

4.814.894.95

2.482.532.582.612.63

286238183

243203156

16213210285.8

96.479.561.552.0

34.026.822.918.7

15212798.6

61.050.739.533.527.3

417340259

368301229

257209160134

16713710588.3

63.849.942.434.7

243200153

10989.969.558.747.7

6.016.126.17

5.685.795.84

5.175.205.235.25

4.504.534.574.58

3.873.903.923.93

4.684.794.84

3.833.873.903.923.93

20

20

20

20

20

18

18

x

x

x

x

x

x

x

18

16

12

8

4

12

6

x

x

x

x

x

x

x

5/8*1/2*3/8*

5/8*1/2*3/8*

5/81/23/85/16

5/81/23/85/16

1/23/85/161/4

5/8*1/2*3/8*

5/81/23/85/161/4

149.24122.2593.01

140.73115.4587.91

127.37103.3078.5265.87

110.3689.6868.3157.36

76.0758.1048.8639.43

115.2195.0372.59

93.3476.0758.1048.8639.43

0.6250.5000.375

0.6250.5000.375

0.5810.4650.3490.291

0.5810.4650.3490.291

0.4650.3490.2910.233

0.6250.5000.375

0.5810.4650.3490.2910.233

25.833.045.0

22.629.039.7

17.722.831.438.2

10.814.219.924.5

5.68.4610.714.2

16.221.029.0

7.39.914.217.622.8

29.037.050.3

29.037.050.3

31.440.054.365.7

31.440.054.365.7

40.054.365.782.8

25.833.045.0

28.035.748.658.974.3

in. in. in. Ib. in. in.2 in.4 in.3 in. in.3 in.4 in.3 ft.2

in.4 in.3 in. in.3


4

DIMENSIONS AND SECTION PROPERTIES OF RECTANGULAR HSSNominal Size Weight

per Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

30.324.618.715.7

25.720.916.013.410.8

21.017.213.211.18.966.76

23.918.3

25.720.916.013.410.8

21.017.213.211.18.966.76

18.715.311.89.928.036.06

700581452384

274230181155127

54.14738.333.227.721.5

536422

407341267227186

12410584.172.359.645.9

47.241.233.629.224.419

13701120862727

681563436369300

17415012010385.265.5

990762

832685528446362

334279219186152116

14812710287.772.455.8

13611387.774.4

10284.966.356.446.1

67.356.945.038.531.624.2

96.976.3

98.281.863.954.344.3

68.357.445.338.731.724.3

53.345.336.030.925.419.5

1090904702595

815679531451368

539455360308253193

678534

687573447380310

478402317271222170

373317252216178137

6.006.066.126.15

5.645.705.775.85.83

5.065.155.235.275.315.35

5.325.40

5.175.235.295.325.35

4.774.844.914.944.985.01

4.474.554.634.674.714.74

16513510487.7

12910682.169.456.4

92.977.360.251.141.731.7

11690.0

12098.876.364.652.4

88.773.657.348.639.630.1

73.161.047.840.633.225.3

11796.875.364

68.557.645.338.731.7

27.023.519.116.613.810.8

89.370.4

81.568.153.445.537.2

41.235.12824.119.915.3

23.620.616.814.612.29.48

4.804.864.914.94

3.273.323.373.43.42

1.601.651.711.731.761.78

4.734.8

3.984.044.094.124.14

2.432.482.532.552.582.61

1.591.641.691.721.741.77

13511185.572.2

79.265.550.843.035.0

32.527.421.718.515.211.7

10481.2

95.178.560.751.441.8

48.440.431.626.922.016.7

28.524.119.116.413.510.3

204166127107

13210883.470.457.0

60.550.739.733.827.621.1

154118

14612091.877.462.6

83.769.353.745.536.928.0

52.644.134.629.524.118.4

4.50 4.53 4.57 4.58 3.83 3.87 3.90 3.92 3.93 3.17 3.20 3.23 3.25 3.27 3.28 4.12 4.17 3.83 3.87 3.90 3.92 3.93 3.17 3.20 3.23 3.25 3.27 3.28 2.83 2.87 2.90 2.92 2.93 2.95

16

16

16

14

14

14

14

x

x

x

x

x

x

x

12

8

4

12

10

6

4

x

x

x

x

x

x

x

5/81/23/85/16

5/81/23/85/16

5/81/23/85/161/43/16

1/2*3/8*

5/81/23/85/161/4

5/81/23/85/161/43/16

5/81/23/85/161/43/16

110.3689.6868.3157.36

93.3476.0758.1048.8639.43

76.3362.4647.9040.3532.6324.73

81.4262.39

93.3476.0758.1048.8639.43

76.3362.4647.9040.3532.6324.73

67.8255.6642.7936.1029.2322.18

0.5810.4650.3490.291

0.5810.4650.3490.2910.233

0.5810.4650.3490.2910.2330.174

0.5000.375

0.5810.4650.3490.2910.233

0.5810.4650.3490.2910.2330.174

0.5810.4650.3490.2910.2330.174

17.722.831.438.2

10.814.219.924.531.3

3.885.68.4610.714.220.0

21.029.0

14.218.525.731.439.9

7.39.914.217.622.831.5

3.885.608.4610.714.220.0

24.531.442.852.0

24.531.442.852.065.7

24.531.442.852.065.789.0

25.034.3

21.127.137.145.157.1

21.127.137.145.157.177.5

21.127.137.145.157.177.5


in.4 in.3 in. in.3



5


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

19.014.612.29.90

21.017.213.211.18.966.76

18.715.311.89.928.036.06

16.413.510.48.767.105.37

10.08.46

8.176.635.02

7.596.174.67

298234200164

21017814012098.875.7

10691.172.962.851.940.0

40.435.328.925.221.016.4

21.318.6

13.111.18.72

5.104.403.55

545421356289

454377293248202153

27122717815212494.6

12210584.172.459.846.1

64.756.0

41.334.526.8

17.615.112.0

65.951.644.036.0

66.155.643.737.430.623.4

53.445.235.930.725.219.4

40.834.928.024.119.915.3

26.022.4

20.717.213.3

17.414.511.2

395310264216

397333262224184140

321271215184151116

24521016814411991.8

156134

12410379.6

10486.967.4

4.564.614.644.67

4.344.414.474.504.534.56

4.144.214.284.314.344.38

3.873.954.024.064.104.13

3.943.98

3.903.943.98

3.713.753.80

78.861.151.742.1

82.168.153.044.936.627.8

68.857.444.838.131.123.7

55.546.736.731.325.619.6

34.729.6

27.922.917.5

24.520.115.5

59.746.940.032.7

52.544.435.130.124.718.9

35.530.424.320.917.313.3

20.217.714.512.610.58.20

12.210.6

8.737.385.81

5.104.403.55

3.964.014.044.07

3.163.213.273.293.323.35

2.392.442.492.522.542.57

1.571.621.671.701.721.75

1.461.48

1.271.291.32

0.8200.8450.872

69.654.045.737.2

61.951.540.134.127.821.1

42.135.227.723.619.314.7

24.520.916.614.211.79.00

14.012.1

10.08.286.40

6.055.083.97

10278.366.153.5

97.780.462.152.442.532.2

71.159.045.838.831.624.0

44.637.529.525.220.615.7

25.521.8

18.415.111.6

11.69.647.49

3.533.573.583.60

3.173.203.233.253.273.28

2.832.872.902.922.932.95

2.502.532.572.582.602.62

2.482.50

2.422.432.45

2.252.272.28

12

12

12

12

12

12

12

x

x

x

x

x

x

x

10

8

6

4

3 1/2

3

2

x

x

x

x

x

x

x

1/23/85/161/4

5/81/23/85/161/43/16

5/81/23/85/161/43/16

5/81/23/85/161/43/16

3/85/16

5/161/43/16

5/161/43/16

69.2753.0044.6036.03

76.3362.4647.9040.3532.6324.73

67.8255.6642.7936.1029.2322.18

59.3248.8537.6931.8425.8219.63

36.4130.78

29.7224.1218.35

27.5922.4217.08

0.4650.3490.2910.233

0.5810.4650.3490.2910.2330.174

0.5810.4650.3490.2910.2330.174

0.5810.4650.3490.2910.2330.174

0.3490.291

0.2910.2330.174

0.2910.2330.174

18.525.731.439.9

10.814.219.924.531.343.0

7.39.914.217.622.831.5

3.885.608.4610.714.220.0

7.039.03

7.319.8814.2

3.875.68.5

22.831.438.248.5

17.722.831.438.248.566.0

17.722.831.438.248.566.0

17.722.831.438.248.566.0

31.438.2

38.248.566.0

38.248.566.0


in.4 in.3 in. in.3


6


Foot

WallThickness

t

b/t h/tY-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis lx Sx rx Zx

18.715.311.89.928.036.06

16.413.510.48.767.105.37

9.678.176.635.02

14.011.68.977.596.174.673.16

11.18.627.305.934.503.04

8.277.015.704.322.93

7.586.435.243.982.70

17815112010384.765.1

89.476.861.853.344.134.1

40.635.229.322.7

33.529.524.321.217.713.99.65

21.417.815.613.110.37.22

12.411.09.287.335.16

4.704.243.672.972.14

346288224190155118

20917613911896.773.8

10086.070.754.1

95.782.666.557.347.436.525.1

63.251.544.637.028.619.8

37.833.027.621.514.9

15.914.212.29.746.90

50.542.733.929.023.818.3

40.234.327.323.519.414.9

24.120.817.213.2

29.925.820.818.014.911.67.97

23.719.216.613.810.77.40

17.615.312.79.876.83

14.312.510.58.195.70

25321416914511991.4

20117113711896.974.6

12010485.866.2

14912910490.174.757.839.8

11896.183.269.153.637.0

88.076.363.649.434.2

71.762.652.541.028.5

3.683.733.793.823.853.88

3.503.573.633.663.693.73

3.533.563.603.63

3.263.343.413.443.483.523.55

3.263.343.383.413.453.49

3.263.303.343.383.42

3.083.123.173.213.25

62.251.940.534.428.121.4

51.343.033.828.823.618.0

30.426.021.316.3

40.334.127.023.119.014.610.0

31.925.321.717.913.79.37

23.720.316.712.88.80

20.317.514.411.17.65

44.537.830.025.721.216.3

29.825.620.617.814.711.4

16.214.111.79.09

16.814.712.110.68.876.934.83

12.210.28.927.515.894.12

8.287.306.194.893.44

4.704.243.672.972.14

3.093.143.193.223.253.28

2.342.392.442.472.492.52

2.052.072.102.13

1.541.591.641.671.701.721.75

1.391.441.461.491.511.54

1.221.251.281.301.33

0.7870.8120.8380.8640.890

53.344.534.829.624.218.4

35.830.123.720.216.612.7

18.716.013.210.1

20.617.614.012.110.07.665.26

14.711.810.28.456.524.48

9.738.426.995.413.74

5.765.064.263.342.33

80.466.451.443.535.326.7

58.648.737.932.226.219.9

31.226.521.616.5

36.731.024.420.917.113.18.90

26.521.118.014.811.47.75

17.715.212.59.646.61

11.09.567.996.224.31

2.832.872.902.922.932.95

2.502.532.572.582.602.62

2.402.422.432.45

2.172.202.232.252.272.282.30

2.122.152.172.182.202.22

2.072.082.102.122.13

1.901.921.931.951.97

10

10

10

10

10

10

10

x

x

x

x

x

x

x

8

6

5

4

3 1/2

3

2

x

x

x

x

x

x

x

5/81/23/85/161/43/16

5/81/23/85/161/43/16

3/85/161/43/16

5/81/23/85/161/43/161/8

1/23/85/161/43/161/8

3/85/161/43/161/8

3/85/161/43/161/8

67.8255.6642.7936.1029.2322.18

59.3248.8537.6931.8425.8219.63

35.1329.7224.1218.35

50.8142.0532.5827.5922.4217.0811.56

40.3431.3126.5321.5716.4411.13

30.0325.4620.7215.8010.71

27.4823.3419.0214.539.86

0.5810.4650.3490.2910.2330.174

0.5810.4650.3490.2910.2330.174

0.3490.2910.2330.174

0.5810.4650.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

0.3490.2910.2330.1740.116

0.3490.2910.2330.1740.116

10.814.219.924.531.343.0

7.39.914.217.622.831.5

11.314.218.525.7

3.885.608.4610.714.220.031.5

4.537.039.0312.017.127.2

5.67.39.814.222.9

2.733.875.588.4914.2

14.218.525.731.439.954.5

14.218.525.731.439.954.5

25.731.439.954.5

14.218.525.731.439.954.583.2

18.525.731.439.954.583.2

25.731.439.954.583.2

25.731.439.954.583.2


in.4 in.3 in. in.3

7

Y

Y

X X



16.413.510.48.767.105.37

14.011.68.977.596.174.67

9.747.586.435.243.98


11710080.469.257.244.1

5245.236.832.026.620.7

13.211.29.888.386.64

23519715413110781.7

12810986.974.461.246.9

40.033.128.924.218.9

in.4 in.3 in. in.3

38.733.026.422.618.714.4

29.625.520.517.714.711.4

18.014.712.810.78.35

17414911910284.164.7

13311592.579.866.151.1

80.866.357.748.237.6

3.263.323.383.413.443.47

3.083.143.213.243.273.31

2.882.963.003.043.07

48.340.531.827.122.216.9

38.532.525.722.018.113.8

24.619.716.914.010.8

33.528.723.019.816.312.6

20.818.114.712.810.68.28

8.817.456.595.594.42

2.682.732.782.812.842.87

1.921.972.032.052.082.10

1.171.211.241.271.29

40.534.026.722.818.714.3

25.321.517.114.612.09.25

10.88.807.636.354.92

62.051.540.033.927.620.09

42.535.627.923.819.414.8

19.715.813.611.38.66

2.502.532.572.582.602.62

2.172.202.232.252.272.28

1.871.901.921.931.95

9

9

9

x

x

x

7

5

3

x

x

x

5/81/23/85/161/43/16

5/81/23/85/161/43/16

1/23/85/161/43/16

59.3248.8537.6931.8425.8219.63

50.8142.0532.5827.5922.4217.08

35.2427.4823.3419.0214.53

0.5810.4650.3490.2910.2330.174

0.5810.4650.3490.2910.2330.174

0.4650.3490.2910.2330.174

9.012.117.121.127.037.2

5.617.7511.314.218.525.7

3.455.607.319.8814.2

12.516.422.827.935.648.7

12.516.422.827.935.648.7

16.422.827.935.648.7


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

8


Y

Y

X X


14.011.68.977.596.174.67

11.79.747.586.435.243.982.70

8.816.885.854.773.632.46

6.185.264.303.282.23


72.362.550.643.836.428.2

26.623.619.617.214.411.37.90

11.710.08.817.495.944.20

3.733.382.942.391.72

15012710085.870.353.7

70.361.149.342.635.327.218.7

34.328.524.920.816.211.3

12.110.99.367.485.30

in.4 in.3 in. in.3

28.524.619.817.114.210.9

20.517.914.712.810.68.275.73

14.612.110.68.886.944.83

9.568.437.125.613.93

11498.279.168.356.643.7

82.071.858.751.042.533.122.9

58.548.542.435.527.819.3

38.233.728.522.415.7

2.852.912.973.003.033.06

2.642.712.782.822.852.882.92

2.582.652.692.732.772.80

2.492.532.572.612.65

36.130.524.120.616.913.0

27.423.518.816.113.310.27.02

20.016.113.911.58,876.11

13.411.69.687.515.19

24.120.816.914.612.19.39

13.311.89.808.587.215.653.95

7.816.635.874.993.962.80

3.733.382.942.391.72

2.272.322.382.402.432.46

1.511.561.611.631.661.691.71

1.151.201.231.251.281.31

0.7770.8020.8270.8530.879

29.524.919.816.913.910.7

16.614.311.59.918.206.334.36

9.647.886.845.704.433.07

4.614.063.432.701.90

46.038.430.025.520.815.8

28.724.419.316.513.610.47.10

17.414.012.110.07.685.27

8.657.576.354.953.44

2.172.202.232.252.272.28

1.831.871.901.921.931.951.97

1.701.731.751.771.781.80

1.571.581.601.621.63

8

8

8

8

x

x

x

x

6

4

3

2

x

x

x

x

x

5/81/23/85/161/43/16

5/81/23/85/161/43/161/8

1/23/85/161/43/161/8

3/85/161/43/161/8

50.8142.0532.5827.5922.4217.08

42.3035.2427.4823.3419.0214.539.86

31.8424.9321.2117.3213.259.01

22.3719.0815.6211.978.16

0.5810.4650.3490.2910.2330.174

0.5810.4650.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

0.3490.2910.2330.1740.116

7.39.914.217.622.831.5

3.85.68.4610.714.220.031.5

3.455.607.319.8814.222.9

2.733.875.588.4914.2

7.39.914.217.622.831.5

3.85.68.4610.714.220.031.5

3.455.607.319.8814.222.9

2.733.875.588.4914.2


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

9


Y

Y

X X


9.747.586.435.243.982.70

8.816.885.854.773.632.46

7.886.185.264.303.282.23

3.842.932.00


35.629.325.521.316.611.6

20.717.315.212.810.07.03

10.28.717.746.605.243.71

2.582.101.52

27.221.418.315.011.47.79

21.116.814.411.89.076.20

15.012.110.58.686.694.60

5.524.323.00

in.4 in.3 in. in.3

17.314.112.310.27.965.52

14.511.910.48.726.814.73

11.69.738.547.195.653.95

5.674.493.16

60.649.543.035.927.919.3

50.741.836.530.523.816.6

40.734.129.925.219.813.8

19.815.711.1

2.502.562.592.622.652.68

2.402.462.502.532.562.59

2.272.352.382.422.452.49

2.272.312.35

21.917.515.012.49.526.53

18.815.113.110.88.335.73

15.812.811.19.227.144.93

7.645.954.13

14.211.710.28.536.654.63

10.48.637.586.385.023.51

6.805.815.164.403.502.48

2.582.101.52

1.911.971.992.022.052.07

1.531.581.611.641.661.69

1.141.191.211.241.261.29

0.8190.8450.871

17.313.811.99.837.575.20

12.610.28.837.335.673.91

8.466.956.055.063.942.73

3.022.391.68

27.221.418.315.011.47.79

21.116.814.411.89.076.20

15.012.110.58.686.694.60

5.524.323.00

1.871.901.921.931.951.97

1.701.731.751.771.781.80

1.531.571.581.601.621.63

1.431.451.47

7

7

7

7

x

x

x

x

5

4

3

2

x

x

x

x

1/23/85/161/43/161/8

1/23/85/161/43/161/8

1/23/85/161/43/161/8

1/43/161/8

35.2427.4823.3419.0214.539.86

31.8424.9321.2117.3213.259.01

28.4322.3719.0815.6211.978.16

13.9110.77.31

0.4650.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

0.2330.1740.116

7.7511.314.218.525.740.1

5.608.4610.714.220.031.5

3.455.607.319.8814.222.9

5.588.4914.2

12.117.121.127.037.257.3

12.117.121.127.037.257.3

12.117.121.127.037.257.3

27.037.257.3


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

10


Y

Y

X X


8.816.885.854.773.632.46

7.886.185.264.303.282.23

6.955.484.683.842.932.00

4.784.103.372.581.77


30.825.522.318.714.610.2

17.814.913.211.18.766.15

8.697.486.675.704.553.23

2.772.522.211.801.31

59.848.141.434.226.318.0

40.332.828.423.618.212.6

23.119.316.914.211.17.73

8.427.606.555.243.72

in.4 in.3 in. in.3

13.711.39.858.256.444.48

11.39.438.276.965.463.81

8.957.576.695.664.473.14

5.715.114.373.492.47

41.133.929.624.719.313.4

34.028.324.820.916.411.4

26.822.720.117.013.49.43

17.115.313.110.57.42

2.162.222.252.282.312.34

2.082.142.172.202.232.26

1.972.042.072.102.142.17

1.891.931.972.012.05

17.213.811.99.877.625.24

14.611.910.38.536.604.56

12.19.908.617.195.593.87

7.936.955.844.583.19

12.310.28.917.475.844.07

8.897.476.585.564.383.08

5.794.994.453.803.032.15

2.772.522.211.801.31

1.871.921.951.982.012.03

1.501.551.581.611.631.66

1.121.171.191.221.251.27

0.7600.7850.8100.8360.861

15.212.210.58.726.734.63

11.08.947.756.455.003.46

7.286.035.274.413.452.40

3.463.072.612.071.46

23.018.215.612.89.766.66

17.814.212.210.17.745.30

12.710.38.917.395.713.93

6.355.584.703.682.57

1.701.731.751.771.781.80

1.531.571.581.601.621.63

1.371.401.421.431.451.47

1.231.251.271.281.30

6

6

6

6

x

x

x

x

5

4

3

2

x

x

x

x

1/23/85/161/43/161/8

1/23/85/161/43/161/8

1/23/85/161/43/161/8

3/85/161/43/161/8

31.8424.9321.2117.3213.259.01

28.4322.3719.0815.6211.978.16

25.0319.8216.9613.9110.707.31

17.2714.8312.219.426.46

0.4650.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

0.3490.2910.2330.1740.116

7.7511.314.218.525.740.1

5.68.410.714.220.031.5

3.455.607.319.8814.222.9

2.733.875.588.4914.2

9.9014.217.622.831.548.7

9.914.217.622.831.548.7

9.914.217.622.831.548.7

14.217.622.831.548.7


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

11


Y

Y

X X


6.955.484.683.842.932.00

6.024.784.103.372.581.77

3.142.411.65

4.093.522.912.241.54


14.912.611.19.467.485.27

7.186.255.604.813.852.75

3.132.531.82

2.282.101.841.511.10

30.324.921.718.014.09.66

17.614.913.111.08.646.02

7.936.264.40

6.615.995.174.152.95

in.4 in.3 in. in.3

8.497.176.325.354.222.97

6.575.655.034.293.412.41

3.763.012.14

4.143.743.232.601.86

21.217.915.813.410.67.42

16.414.112.610.78.536.03

9.407.515.34

10.49.358.086.504.65

1.751.811.841.871.901.93

1.651.721.751.781.821.85

1.731.771.80

1.591.631.671.701.74

10.98.967.796.495.053.50

8.837.346.425.384.212.93

4.833.792.65

5.715.054.273.372.37

7.436.305.574.733.742.64

4.784.163.733.212.571.83

2.502.031.46

2.282.101.841.511.10

1.461.521.541.571.601.62

1.091.141.171.191.221.25

0.9991.021.05

0.7480.7720.7970.8230.848

9.357.676.675.574.343.01

6.105.104.483.772.962.07

2.952.331.64

2.882.572.201.751.24

14.511.710.18.326.414.39

10.38.447.336.104.733.26

4.993.892.70

5.204.593.883.052.13

1.371.401.421.431.451.47

1.201.231.251.271.281.30

1.181.201.22

1.071.081.101.121.13

5

5

5

5

x

x

x

x

4

3

2 1/2

2

x

x

x

x

1/23/85/161/43/161/8

1/23/85/161/43/161/8

1/43/161/8

3/85/161/43/161/8

25.0319.8216.9613.9110.707.31

21.6317.2714.8312.219.426.46

11.368.786.03

14.7212.7010.518.155.61

0.4650.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

0.2330.1740.116

0.3490.2910.2330.1740.116

5.608.4610.714.220.031.5

3.455.607.319.8814.222.9

7.711.418.6

2.733.875.588.4914.2

7.7511.314.218.525.740.1

7.7511.314.218.525.740.1

18.525.740.1

11.314.218.525.740.1


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

12


Y

Y

X X



4.093.522.912.241.54

3.743.232.672.061.42

3.392.942.441.891.30


5.014.523.913.162.27

3.172.892.532.061.49

1.801.671.481.220.898

10.69.417.966.264.38

7.576.775.784.593.23

4.834.403.823.082.20

in.4 in.3 in. in.3

3.973.573.072.471.76

3.383.072.662.151.54

2.802.562.251.831.32

7.937.146.154.933.52

6.776.135.324.303.09

5.605.134.493.662.65

1.391.421.451.491.52

1.351.381.411.441.47

1.291.321.361.391.43

5.124.513.813.002.11

4.483.973.382.671.88

3.843.432.942.341.66

3.343.022.612.101.51

2.542.322.021.651.19

1.801.671.481.220.898

1.111.131.161.191.21

0.9220.9470.9730.9991.030

0.7290.7540.7790.8040.830

4.183.693.122.461.73

3.202.852.431.931.36

2.312.081.791.431.02

6.595.754.813.742.59

5.324.673.933.082.14

4.043.593.052.411.69

1.071.081.101.121.13

0.981.001.021.031.05

0.900.920.930.950.97

4

4

4

x

x

x

3

2 1/2

2

x

x

x

3/85/161/43/161/8

3/85/161/43/161/8

3/85/161/43/161/8

14.7212.7010.518.155.61

13.4411.649.667.515.18

12.1710.588.816.874.75

0.3490.2910.2330.1740.116

0.3490.2910.2330.1740.116

0.3490.2910.2330.1740.116

5.607.319.8814.222.9

4.165.597.7311.418.6

2.733.875.588.4914.2

8.4610.714.220.031.5

8.4610.714.220.031.5

8.4610.714.220.031.5


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

13


Y

Y

X X


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

3.392.942.441.891.30

2.211.711.19

1.971.541.07

2.642.211.711.19

2.351.971.541.07

1.741.370.96

2.772.542.231.821.33

1.931.591.16

0.6380.5440.411

2.181.931.591.16

1.241.110.9320.692

0.5430.4670.355

6.165.534.753.782.67

3.743.002.13

1.791.491.09

4.343.743.002.13

2.872.522.051.47

1.441.210.886

2.722.482.171.761.28

1.721.411.03

1.461.210.896

1.941.721.411.03

1.591.421.180.867

1.120.9450.706

4.754.343.793.092.23

2.572.111.54

2.552.121.57

2.922.572.111.54

2.382.131.771.30

1.681.421.06

1.181.221.251.281.31

1.081.111.14

1.141.171.21

1.051.081.111.14

1.011.041.071.10

0.9821.021.05

3.593.202.742.181.54

2.161.731.23

1.981.601.15

2.512.161.731.23

2.111.831.481.06

1.511.240.895

2.212.031.781.461.06

1.541.270.931

0.8510.7250.548

1.741.541.270.931

1.241.110.9320.692

0.7250.6220.474

0.9040.9300.9560.9831.01

0.9350.9630.990

0.5690.5940.619

0.9080.9350.9630.990

0.7250.7510.7780.804

0.5590.5840.610

2.822.522.161.721.22

1.901.521.09

1.060.8670.630

2.201.901.521.09

1.581.381.120.803

0.9110.7520.550

4.574.033.402.671.87

2.872.271.59

1.881.511.08

3.392.872.271.59

2.602.231.781.25

1.581.280.920

0.900.920.930.950.97

0.850.870.88

0.770.780.80

0.830.850.870.88

0.750.770.780.80

0.680.700.72

31/2

31/2

31/2

3

3

3

x

x

x

x

x

x

2 1/2

2

1 1/2

2 1/2

2

1 1/2

x

x

x

x

x

x

3/85/161/43/161/8

1/43/161/8

1/43/161/8

5/161/43/161/8

5/161/43/161/8

1/43/161/8

12.1710.588.816.874.75

7.966.234.33

7.115.593.90

9.517.966.234.33

8.457.115.593.90

6.264.963.48

0.3490.2910.2330.1740.116

0.2330.1740.116

0.2330.1740.116

0.2910.2330.1740.116

0.2910.2330.1740.116

0.2330.1740.116

4.165.597.7311.418.6

7.7311.418.6

3.445.629.93

5.597.7311.418.6

3.875.588.4914.2

3.445.629.93

7.039.0312.017.127.2

9.8814.222.9

12.017.127.2

7.319.8814.222.9

7.319.8814.222.9

9.8814.222.9


in.4 in.3 in. in.3

14


Y

Y

X X



1.190.84

1.741.370.956

1.511.190.84

1.020.724

1.280.898

1.020.72

0.8450.608


0.1730.138

0.9300.7860.589

0.4490.3900.300

0.1430.115

0.7130.538

0.3130.244

0.1120.0922

0.5260.408

1.901.551.12

1.100.9290.687

0.4120.322

1.320.957

0.6640.496

0.3010.238

in.4 in.3 in. in.3

0.7130.545

1.060.8940.667

0.8220.7050.535

0.5170.403

0.7640.574

0.4950.383

0.3500.280

1.070.817

1.331.120.833

1.030.8820.668

0.6460.503

0.8590.646

0.4950.383

0.3500.280

0.9470.987

0.8740.9040.934

0.8260.8600.892

0.7960.834

0.8190.848

0.6970.728

0.6430.679

0.9890.728

1.371.120.809

1.110.9150.671

0.7130.532

0.9520.693

0.6390.475

0.4800.366

0.3450.276

0.9300.7860.589

0.5990.5200.399

0.2850.230

0.7130.538

0.4170.325

0.2250.184

0.3800.405

0.7310.7580.785

0.5460.5720.597

0.3740.399

0.7470.774

0.5540.581

0.3650.390

0.4320.325

1.170.9560.694

0.7640.6360.469

0.3600.274

0.8770.639

0.5210.389

0.2880.223

0.7920.585

1.821.461.04

1.291.050.759

0.6480.483

1.300.927

0.8220.599

0.5050.380

0.620.63

0.680.700.72

0.600.620.63

0.530.55

0.660.68

0.530.55

0.450.47

3

2 1/2

2 1/2

2 1/2

2 1/4

2

2

x

x

x

x

x

x

x

1

2

1 1/2

1

2

1 1/2

1

x

x

x

x

x

x

x

3/161/8

3/161/81/4

1/43/161/8

3/161/8

3/161/8

3/161/8

3/161/8

4.323.05

6.264.963.48

5.414.323.05

3.682.63

4.643.27

3.682.63

3.042.20

0.1740.116

0.2330.1740.116

0.2330.1740.116

0.1740.116

0.1740.116

0.1740.116

0.1740.116

2.755.62

5.588.4914.2

3.445.629.93

2.755.62

8.4914.2

5.629.93

2.755.62

14.222.9

7.7311.418.6

7.7311.418.6

11.418.6

9.9316.4

8.4914.2

8.4914.2


Foot

WallThickness

t

b/t h/t Y-Y Axis

lx Sx rx Zx


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea

X-X Axis

lx Sx rx Zx

15

DIMENSIONS AND SECTION PROPERTIES ROPERTIES OF SQUARE HSS



76.461.946.8

71.457.943,8

66.453.940.8

61.449.937.8

56.445.934.8

51.445.931.8

46.437.928.8

41.433.925.8

35.028.321.518.1

12300101007750

1010083206370

814067305150

646053504110

503041703210

382031902460

283023701830

202017001320

13701130873739

197001590012000

16200130009870

13100106008010

1050084306400

818066105020

626050703850

467037902880

337027402090

2170177013501140

in.4 in.3 in. in.3

771634485

673555424

582480368

497411316

419348268

347290223

283237183

224189147

17114110992.3

12.712.812.9

11.912.012.1

11.111.211.2

10.310.410.4

9.449.539.60

8.628.728.78

6.997.907.97

6.997.087.15

6.256.316.3763.9

890727553

778637485

674552421

577474362

487401307

406335256

264275211

264220169

200164126106

37 1230991750

1070869658

933755572

801649492

679551418

567461350

465379288

373305232

276224171144

10.3410.4510.51

9.689.799.84

9.019.129.17

8.348.458.51

7.687.797.84

7.017.127.17

6.346.456.51

5.685.795.84

5.175.205.235.25

32

30

28

26

24

22

20

18

16

x

x

x

x

x

x

x

x

x

32

30

28

26

24

22

20

18

16

x

x

x

x

x

x

x

x

x

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

5/8*1/2*3/8*

5/81/23/85/16

259.83210.72159.37

242.82197.11149.16

225.80183.50138.95

208.79169.89128.74

191.78156.28118.53

174.76142.67108.32

157.75129.0698.12

140.73115.4587.91

127.37103.3078.5265.87

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

0.6250.5000.375

0.5810.4650.3490.291

48.261.082.3

45.057.077.0

41.853.071.7

38.649.066.3

35.445.061.0

32.241.055.7

29.037.050.3

25.833.045.0

24.531.442.852.0

48.261.082.3

45.057.077.0

41.853.071.7

38.649.066.3

35.445.061.0

32.241.055.7

29.037.050.3

25.833.045.0

24.531.442.852.0


Foot

WallThickness

t

b/t h/tTorsionalStiffnessConstant

J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross

SectionalArea lx Sx rx Zx

Y

Y

X X

in.4 in.3 ft.2

16

DIMENSIONS AND SECTION PROPERTIES OF SQUARE HSS


30.324.618.715.7

25.720.916.013.410.88.15

21.017.213.211.18.966.76

18.715.311.89.928.036.064.09

16.413.510.48.767.105.373.62

14.011.68.977.596.174.673.16

897743577490

548457357304248189

304256202172141108

21618314512410278.253.5

14612510085.670.754.437.4

93.480.565.056.146.536.024.8

14301170900759

885728561474384290

498412320271220167

35629623119615912182.0

24420416013611184.557.3

15813310589.773.556.138.2

in.4 in.3 in. in.3

12810682.569.9

91.476.259.550.741.431.5

60.851.240.434.528.321.6

47.940.632.227.622.717.411.9

36.531.224.921.417.713.69.34

26.723.018.616.013.310.37.09

5.445.495.555.58

4.624.684.734.764.794.82

3.803.863.923.943.974.00

3.403.453.513.543.563.593.62

2.993.043.103.133.153.183.21

2.582.632.692.722.752.772.80

15112495.480.5

10989.669.258.647.636.0

73.260.747.240.132.724.8

58.148.437.832.126.220.013.6

44.737.529.425.120.515.710.7

33.127.922.118.915.511.98.13

208170130109

15112394.679.764.548.6

10284.264.854.844.433.6

81.667.452.144.035.827.118.3

63.252.440.734.528.121.314.4

47.139.330.726.121.316.211.0

4.504.534.574.58

3.833.873.903.923.933.95

3.173.203.233.253.273.28

2.802.872.902.922.932.952.97

2.502.532.572.582.602.622.63

2.172.202.232.252.272.282.30

14

12

10

9

8

7

x

x

x

x

x

x

14

12

10

9

8

7

x

x

x

x

x

x

5/81/23/85/16

5/81/23/85/161/43/16

5/81/23/85/161/43/16

5/81/23/85/161/43/161/8

5/81/23/85/161/43/161/8

5/81/23/85/161/43/161/8

110.3689.6868.3157.36

93.3476.0758.1048.8639.4329.84

76.3362.4647.9040.3532.6324.73

67.8255.6642.7936.1029.2322.1814.96

59.3248.8537.6931.8425.8219.6313.26

50.8142.0532.5827.5922.4217.0811.56

0.5810.4650.3490.291

0.5810.4650.3490.2910.2330.174

0.5810.4650.3490.2910.2330.174

0.5810.4650.3490.2910.2330.1740.116

0.5810.4650.3490.2910.2330.1740.116

0.5810.4650.3490.2910.2330.1740.116

21.127.137.145.1

17.722.831.438.248.566.0

14.218.525.731.439.954.5

12.516.422.827.935.648.774.6

10.814.219.924.531.343.066.0

9.0512.117.121.127.037.257.3

21.127.137.145.1

17.722.831.438.248.566.0

14.218.525.731.439.954.5

12.516.422.827.935.648.774.6

10.814.219.924.531.343.066.0

9.0512.117.121.127.037.257.3


Foot

WallThickness

t

b/t h/t


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross


Y

Y

X X

in.4 in.3 ft.2

17



11.79.747.586.435.243.982.70

6.885.854.773.632.46

7.886.185.264.303.282.23

6.955.484.683.842.932.00

6.024.784.103.372.581.77

55.248.339.534.328.622.315.5

29.725.921.717.011.8

26.021.719.016.012.68.80

18.115.313.511.49.026.35

11.910.39.147.806.214.40

94.981.164.655.445.635.023.9

49.042.234.826.718.3

44.636.131.225.819.913.7

31.325.722.318.514.49.92

21.017.515.312.810.06.91

in.4 in.3 in. in.3

18.416.113.211.49.547.425.15

10.89.437.906.174.30

10.48.687.626.415.033.52

8.036.796.005.084.012.82

5.975.134.573.903.102.20

2.172.232.282.312.342.372.39

2.082.112.132.162.19

1.821.871.901.931.961.99

1.611.671.701.731.751.78

1.411.471.491.521.551.58

23.219.815.813.611.28.635.92

13.111.39.327.194.95

13.110.69.167.615.894.07

10.28.367.276.064.713.27

7.706.395.594.693.672.56

33.428.122.118.915.411.88.03

18.415.712.99.856.72

18.714.912.810.58.085.53

14.811.910.28.446.494.45

11.29.147.916.565.073.49

1.831.871.901.921.931.951.97

1.731.751.771.781.80

1.531.571.581.601.621.63

1.371.401.421.431.451.47

1.201.231.251.271.281.30

6

5 1/2

5

4 1/2

4

x

x

x

x

x

6

5 1/2

5

4 1/2

4

x

x

x

x

x

5/81/23/85/161/43/161/8

3/85/161/43/161/8

1/23/85/161/43/161/8

1/23/85/161/43/161/8

1/23/85/161/43/161/8

42.3035.2427.4823/3419.0214.539.86

24.9321.2117.3213.259.01

28.4322.3719.0815.6211.978.16

25.0319.8216.9613.9110.707.31

21.6317.2714.8312.219.426.46

0.5810.4650.3490.2910.2330.1740.116

0.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

0.4650.3490.2910.2330.1740.116

7.39.914.217.622.831.548.7

12.815.920.628.644.4

7.7511.314.218.525.740.1

6.689.8912.516.322.935.8

5.608.4610.714.220.031.5

7.39.914.217.622.831.548.7

12.815.920.628.644.4

7.7511.314.218.525.740.1

6.689.8912.516.322.935.8

5.608.4610.714.220.031.5


Foot

WallThickness

t

b/t h/t


J

TorsionalShear

Constant

C

SurfaceArea

Per FootCross


Y

Y

X X

in.4 in.3 ft.2

18



4.093.522.912.241.54

3.392.942.441.891.30

2.351.971.541.07

1.741.370.96

1.511.190.84

6.495.845.044.052.90

3.783.453.022.461.78

1.821.631.351.00

1.130.950.71

0.750.640.49

11.29.898.356.564.58

6.645.945.084.032.84

3.202.792.251.61

1.961.601.15

1.311.090.796

in.4 in.3 in. in.3

3.713.342.882.311.66

2.522.302.011.641.19

1.461.301.080.80

1.010.850.63

0.750.640.49

1.261.291.321.351.37

1.061.081.111.141.17

0.880.910.940.97

0.810.840.86

0.700.730.76

4.694.143.502.761.93

3.252.902.481.971.40

1.881.631.320.95

1.281.040.76

0.960.800.58

6.775.904.923.832.65

4.744.183.522.761.92

2.742.351.861.31

1.851.481.05

1.411.140.817

1.071.081.101.121.13

0.900.920.930.950.97

0.750.770.780.80

0.680.700.72

0.600.620.63

3 1/2

3

2 1/2

2 1/4

2

x

x

x

x

x

3 1/2

3

2 1/2

3 1/4

2

x

x

x

x

x

3/85/161/43/161/8

3/85/161/43/161/8

5/161/43/161/8

1/43/161/8

1/43/161/8

14.7212.7010.518.155.61

12.1710.588.816.874.75

8.457.115.593.90

6.264.963.48

5.414.323.05

0.3490.2910.2330.1740.116

0.3490.2910.2330.1740.116

0.2910.2330.1740.116

0.2330.1740.116

0.2330.1740.116

7.039.0312.017.127.2

5.607.319.8814.222.9

5.597.7311.418.6

6.669.9316.4

5.588.4914.2

7.039.0312.017.127.2

5.607.319.8814.222.9

5.597.7311.418.6

6.669.9316.4

5.588.4914.2


Foot

WallThickness

t

b/t h/t

x


J

TorsionalShear

Constant

C

SurfaceArea

Per Foot

Cross Sectional

Area lx Sx rx Zx

Y

Y

X X

in.4 in.3 ft.2

19

DIMENSIONS AND SECTION PROPERTIES OF ROUND HSS

in. in. lb. in. in.2


Foot

WallThickness

t x


J

TorsionalShear

Constant

C

SurfaceArea

Per Foot

D/t

lx Sx rx Zx

Outside Diameter Wall

Cross- Sectional

Area

43.057.3

38.751.6

34.439.345.855.0

30.140.148.1

27.436.554.7

28.521.5

25.619.4

22.719.917.214.4

19.815.012.5

17.913.69.16

27202080

19701510

137012101050886

907698589

678523359

272208

219168

171152131111

13010084.2

10682.156.3

5.245.24

4.714.71

4.194.194.194.19

3.673.673.67

3.343.343.34

20.000

18.000

16.000

14.000

12.750

0.5000.375

0.5000.375

0.5000.4380.3750.312

0.5000.3750.312

0.5000.3750.250

10478.67

93.5470.65

82.8572.8662.6452.32

72.1654.6245.65

65.4849.6133.41

0.4650.349

0.4650.349

0.4650.4070.3490.291

0.4650.3490.291

0.4650.3490.233

13601040

985754

685606526443

453349295

339262180

136104

10983.8

85.775.865.755.4

64.849.842.1

53.241.028.2

6.916.95

6.206.24

5.495.515.535.55

4.794.834.85

4.354.394.43

177135

143109

11299.085.571.8

85.265.154.7

70.253.736.5


Y

Y

X X

20




Foot

WallThickness

t x


J

TorsionalShear

Constant

C

SurfaceArea

Per Foot

D/t

lx Sx rx Zx


Cross- Sectional

Area

15.011.47.70

17.213.910.68.887.155.37

13.410.28.536.875.17

11.99.077.856.144.62

28.521.5

25.619.4

22.719.917.214.4

19.815.012.5

17.913.69.16

398309213

383317247209171130

281219186152115

19915613610882.5

74.157.439.6

76.663.549.341.934.125.9

58.545.538.731.524.0

46.236.131.625.119.1

2.812.812.81

2.622.622.622.622.622.62

2.522.522.522.522.52

2.262.262.262.262.26

10.750

10.000

9.625

8.625

0.5000.3750.188

0.6250.5000.3750.3120.2500.188

0.5000.3750.3120.2500.188

0.5000.3750.3120.2500.188

54.7941.5928.06

62.6450.7838.5832.3126.0619.72

48.7737.0831.0625.0518.97

43.4333.0728.5822.3816.96

0.4650.3490.233

0.5810.4650.3490.2910.2330.174

0.4650.3490.2910.2330.174

0.4650.3490.3000.2330.174

199154106

19115912310585.364.8

14111093.075.957.7

10077.868.154.141.3

37.028.719.8

38.331.724.720.917.113.0

29.222.819.315.812.0

23.118.015.812.59.57

3.643.683.72

3.343.383.413.433.453.47

3.243.283.303.323.34

2.892.932.952.972.99

49.237.825.8

51.642.332.527.422.216.8

39.030.025.420.615.5

31.023.920.816.412.4


Y

Y

X X

21




Foot

WallThickness

t x


J

TorsionalShear

Constant

C

SurfaceArea

Per Foot

D/t

lx Sx rx Zx


Cross- Sectional

Area

21.825.0

16.121.525.832.243.1

15.120.124.130.040.260.3

7.987.01

10.37.846.595.324.00

9.557.296.134.953.732.51

10694.1

12810085.870.353.8

10280.969.156.843.529.7

27.824.7

34.126.822.918.714.3

29.323.119.816.212.48.49

2.002.00

1.961.961.961.961.96

1.831.831.831.831.831.83

7.625

7.500

7.000

0.3750.328

0.5000.3750.3120.2500.188

0.5000.3750.3120.2500.1880.125

29.0625.59

37.4228.5623.9719.3814.70

34.7426.5622.3118.0413.699.19

0.3490.305

0.4650.3490.2910.2330.174

0.4650.3490.2910.2330.1740.116

52.947.1

63.950.242.935.226.9

51.240.434.628.421.714.9

13.912.3

17.013.411.49.377.17

14.611.69.888.116.214.25

2.582.59

2.492.532.552.572.59

2.322.352.372.392.412.43

18.516.4

23.017.915.112.39.34

19.915.513.110.78.115.50


Y

Y

X X

22




Foot

WallThickness

t x


J

TorsionalShear

Constant

C

SurfaceArea

Per Foot

D/t

lx Sx rx Zx


Cross- Sectional

Area

14.819.723.629.539.5

14.216.419.022.825.428.438.157.1

12.917.220.623.125.834.551.7

9.367.166.024.863.66

9.007.886.885.795.224.683.532.37

8.096.205.224.694.223.182.14

96.776.465.453.741.1

85.976.468.058.252.747.936.725.1

62.449.742.638.735.227.018.6

28.122.219.015.612.0

25.923.120.517.615.914.411.17.59

20.816.614.212.911.79.026.19

1.801.801.801.801.80

1.731.731.731.731.731.731.731.73

1.571.571.571.571.571.571.57

6.875

6.625

6.000

0.5000.3750.3120.2500.188

0.5000.4320.3750.3120.2800.2500.1880.125

0.5000.3750.3120.2800.2500.1880.125

34.0726.0621.8917.7113.44

32.7428.6025.0521.0618.9917.0412.948.69

29.4022.5518.9717.1215.3711.687.85

0.4650.3490.2910.2330.174

0.4650.4020.3490.2910.2600.2330.1740.116

0.4650.3490.2910.2600.2330.1740.116

48.338.232.726.820.6

42.938.234.029.126.423.918.412.6

31.224.821.319.317.613.59.28

14.111.19.517.815.99

13.011.510.38.797.967.225.543.79

10.48.287.116.455.864.513.09

2.272.312.332.352.37

2.182.202.222.242.252.262.282.30

1.962.002.022.032.042.062.08

19.114.912.610.37.81

17.715.613.811.710.59.527.244.92

14.311.29.498.577.755.914.02


Y

Y

X X

23




Foot

WallThickness

t x


J

TorsionalShear

Constant

C

SurfaceArea

Per Foot

D/t

lx Sx rx Zx


Cross- Sectional

Area

12.015.923.232.044.9

11.815.822.8

10.814.317.220.821.528.743.1

12.914.420.525.938.8

13.717.218.119.019.523.034.5

7.455.724.012.952.12

7.365.653.98

6.625.104.303.593.492.641.78

4.554.122.962.361.60

3.392.762.612.502.442.091.42

48.839.028.521.415.7

47.037.627.6

34.427.724.020.519.915.410.6

19.718.113.611.17.68

11.79.829.369.018.837.675.34

17.514.010.27.705.64

17.113.710.0

13.811.19.588.187.956.154.25

8.788.066.044.933.41

5.874.914.684.504.413.832.67

1.461.461.461.461.46

1.441.441.44

1.311.311.311.311.311.311.31

1.181.181.181.181.18

1.051.051.051.051.051.051.05

5.563

5.500

5.000

4.5000

4.000

0.5000.3750.2580.1880.134

0.5000.3750.258

0.5000.3750.3120.2580.2500.1880.125

0.3750.3370.2370.1880.125

0.3130.2500.2370.2260.2200.1880.125

27.0620.8014.6310.807.78

26.7320.5414.46

24.0518.5415.6413.0812.699.676.51

16.5415.0010.808.675.85

12.3410.029.539.128.897.665.18

0.4650.3490.2400.1740.124

0.4650.3490.240

0.4650.3490.2910.2400.2330.1740.116

0.3490.3130.2200.1740.116

0.2910.2330.2200.2100.2050.1740.116

24.419.514.210.77.84

23.518.813.7

17.213.912.010.29.947.695.31

9.879.076.795.543.84

5.874.914.684.504.413.832.67

8.777.025.123.852.82

8.556.845.00

6.885.554.794.083.973.082.12

4.394.033.022.461.71

2.932.452.342.252.211.921.34

.1.811.851.881.911.92

1.791.831.86

1.611.651.671.691.691.711.73

1.471.481.521.531.55

1.321.331.341.341.341.351.37

12.19.506.805.053.67

11.89.276.64

9.607.566.465.445.304.052.77

6.035.504.033.262.23

4.013.313.153.022.962.551.75


Y

Y

X X

24




Foot

WallThickness

t x


J

TorsionalShear

Constant

C

SurfaceArea

Per Foot

D/t

lx Sx rx Zx


Cross- Sectional

Area

12.012.515.017.418.520.130.2

12.914.915.917.221.324.225.9

12.315.216.524.8

10.714.421.6

10.211.713.616.620.5

10.914.117.1

12.8

2.932.832.392.081.971.821.23

2.031.771.671.541.271.121.05

1.931.591.481.01

1.661.270.869

1.571.391.201.000.82

0.9430.750.624

.63

7.617.386.415.695.415.043.53

3.903.483.313.102.592.322.19

3.402.892.701.92

2.151.731.24

1.821.651.471.251.05

0.7100.5860.501

0.368

4.354.223.663.253.092.882.02

2.602.322.212.061.731.551.46

2.372.011.881.33

1.721.380.990

1.531.391.231.060.887

0.7470.6170.527

0.444

0.920.920.920.920.920.920.92

0.790.790.790.790.790.790.79

0.750.750.750.75

0.650.650.65

0.620.620.620.620.62

0.500.500.50

0.43

3.500

3.000

2.875

2.500

2.375

1.900

1.660

0.3130.3000.2500.2160.2030.1880.125

0.2500.2160.2030.1880.1520.1340.125

0.2500.2030.1880.125

0.2500.1880.125

0.2500.2180.1880.1540.125

0.1880.1450.120

0.140

10.6610.268.697.587.156.664.51

7.356.436.075.654.634.113.84

7.025.805.403.67

6.014.653.17

0.2500.2180.1880.1540.125

3.440.1452.28

0.140

0.2910.2790.2330.2010.1890.1740.116

0.2330.2010.1890.1740.1410.1240.116

0.2330.1890.1740.116

0.2330.1740.116

0.2330.2030.1740.1430.116

0.1740.1350.111

0.130

3.813.693.212.842.702.521.77

1.951.741.661.551.301.161.09

1.701.451.350.958

1.080.8650.619

0.9100.8240.7330.6270.527

0.3550.2930.251

0.184

2.182.111.831.631.541.441.01

1.301.161.101.030.8650.7740.730

1.181.010.9410.667

0.8620.6920.495

0.7660.6940.6170.5280.443

0.3740.3090.264

0.222

1.141.141.161.171.171.181.20

0.9820.9920.9961.001.011.021.02

0.9380.9520.9570.976

0.8060.8250.844

0.7620.7710.7810.7910.800

0.6130.6260.634

0.543

3.002.902.492.192.071.931.33

1.791.581.501.391.151.030.965

1.631.371.270.884

1.200.9430.660

1.070.9600.8450.7130.592

0.5200.4210.356

0.305


Y

Y

X X

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Hollow Structural Sections - Independence Tube design wall thickness, t, ... The round Hollow...

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