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Engineering LibreTexts

Appendix A: Geometric Properties of Standard Beams

  • Page ID
    145530
    • James K. Lord, Amy Richardson, Sneha Davison, and David A. Dillard
    • Virginial Tech

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    A.1 Wide-Flange (W) Shapes. US Customary Units

    ufigappa_1.jpg

    Label

    Area, A (in.²)

    Depth, d (in.)

    Flange Width, bf (in.)

    Flange Thickness, tf (in.)

    Web Thickness, tw (in.)

    Ix (in.⁴)

    Sx (in.³)

    rx (in.)

    Iy (in.⁴)

    Sy (in.³)

    ry (in.)

    W40×431

    127.00

    41.30

    16.20

    2.36

    1.34

    34,800.0

    1,690.0

    16.60

    1,690.0

    208.0

    3.65

    W40×297

    87.30

    39.80

    15.80

    1.65

    0.93

    23,200.0

    1,170.0

    16.30

    1,090.0

    138.0

    3.54

    W40×264

    77.40

    40.00

    11.90

    1.73

    0.96

    19,400.0

    9,71.0

    15.80

    493.0

    82.6

    2.52

    W36×487

    143.00

    39.30

    17.10

    2.68

    1.50

    36,000.0

    1,830.0

    15.80

    2,250.0

    263.0

    3.96

    W36×247

    72.50

    36.70

    16.50

    1.35

    0.80

    16,700.0

    913.0

    15.20

    1,010.0

    123.0

    3.74

    W36×210

    61.90

    36.70

    12.20

    1.36

    0.83

    13,200.0

    719.0

    14.60

    411.0

    67.5

    2.58

    W30×326

    95.90

    32.40

    15.40

    2.05

    1.14

    16,800.0

    1,040.0

    13.20

    1,240.0

    162.0

    3.60

    W30×173

    50.90

    30.40

    15.00

    1.07

    0.66

    8,230.0

    541.0

    12.70

    598.0

    79.8

    3.42

    W30×99

    29.00

    29.70

    10.50

    0.67

    0.52

    3,990.0

    269.0

    11.70

    128.0

    24.5

    2.10

    W24×279

    81.90

    26.70

    13.30

    2.09

    1.16

    9,600.0

    718.0

    10.80

    823.0

    124.0

    3.17

    W24×131

    38.60

    24.50

    12.90

    0.96

    0.61

    4,020.0

    329.0

    10.20

    340.0

    53.0

    2.97

    W24×84

    24.70

    24.10

    9.02

    0.77

    0.47

    2,370.0

    196.0

    9.79

    94.4

    20.9

    1.95

    W21×201

    59.30

    23.00

    12.60

    1.63

    0.91

    5,310.0

    461.0

    9.47

    542.0

    86.1

    3.02

    W21×122

    35.90

    21.70

    12.40

    0.96

    0.60

    2,960.0

    273.0

    9.09

    305.0

    49.2

    2.92

    W21×68

    20.00

    21.10

    8.27

    0.69

    0.43

    1,480.0

    140.0

    8.60

    64.7

    15.7

    1.80

    W18×130

    38.30

    19.30

    11.20

    1.20

    0.67

    2,460.0

    256.0

    8.03

    278.0

    49.9

    2.70

    W18×76

    22.30

    18.20

    11.00

    0.68

    0.43

    1,330.0

    146.0

    7.73

    152.0

    27.6

    2.61

    W18×40

    11.80

    17.90

    6.02

    0.53

    0.32

    612.0

    68.4

    7.21

    19.1

    6.35

    1.27

    W16×67

    19.60

    16.30

    10.20

    0.67

    0.40

    954.0

    117.0

    6.96

    119.0

    23.2

    2.46

    W16×40

    11.80

    16.00

    7.00

    0.51

    0.31

    518.0

    64.7

    6.63

    28.9

    8.25

    1.57

    W16×31

    9.13

    15.90

    5.53

    0.44

    0.28

    375.0

    47.2

    6.41

    12.4

    4.49

    1.17

    W14×90

    26.50

    14.00

    14.50

    0.71

    0.44

    999.0

    143.0

    6.14

    362.0

    49.9

    3.70

    W14×53

    15.60

    13.90

    8.06

    0.66

    0.37

    541.0

    77.8

    5.89

    57.7

    14.3

    1.92

    W14×34

    10.00

    14.00

    6.75

    0.46

    0.29

    340.0

    48.6

    5.83

    23.3

    6.91

    1.53

    W14×22

    6.49

    13.70

    5.00

    0.34

    0.23

    199.0

    29.0

    5.54

    7.0

    2.80

    1.04

    W12×106

    31.20

    12.90

    12.20

    0.99

    0.61

    933.0

    145.0

    5.47

    301.0

    49.3

    3.11

    W12×53

    15.60

    12.10

    10.00

    0.58

    0.35

    425.0

    70.6

    5.23

    95.8

    19.2

    2.48

    W12×50

    14.60

    12.20

    8.08

    0.64

    0.37

    391.0

    64.2

    5.18

    56.3

    13.9

    1.51

    W12×26

    7.65

    12.20

    6.49

    0.38

    0.23

    204.0

    33.4

    5.17

    17.3

    5.34

    1.51

    W12×22

    6.48

    12.30

    4.03

    0.43

    0.26

    156.0

    25.4

    4.91

    7.0

    2.80

    1.04

    W10×68

    20.00

    10.40

    10.10

    0.77

    0.47

    394.0

    75.7

    4.44

    134.0

    26.4

    2.59

    W10×39

    11.50

    9.92

    7.99

    0.53

    0.32

    209.0

    42.1

    4.27

    45.0

    11.3

    1.98

    W10×30

    8.84

    10.50

    5.81

    0.51

    0.30

    170.0

    32.4

    4.38

    16.7

    5.75

    1.37

    W10×19

    5.62

    10.20

    4.02

    0.40

    0.25

    96.3

    18.8

    4.14

    4.29

    2.14

    0.87

    W8×40

    11.70

    8.25

    8.07

    0.56

    0.36

    146.0

    35.5

    3.53

    49.1

    12.2

    2.04

    W8×31

    9.12

    8.00

    8.00

    0.44

    0.29

    110.0

    27.5

    3.47

    37.1

    9.27

    2.02

    W8×21

    6.16

    8.28

    5.27

    0.40

    0.25

    75.3

    18.2

    3.49

    9.77

    3.71

    1.26

    W8×13

    3.84

    7.99

    4.00

    0.26

    0.23

    39.6

    9.91

    3.21

    2.73

    1.37

    0.84

    A.2 Wide-Flange (W) Shapes. SI Units

    Label

    Area, A (mm²)

    Depth, d (mm)

    Flange Width, bf (mm)

    Flange Thickness, tf (mm)

    Web Thickness, tw (mm)

    Ix (´10⁶ mm⁴)

    Sx (´10³ mm³)

    rx (mm)

    Iy (´10⁶ mm⁴)

    Sy (´10³ mm³)

    ry (mm)

    W1000×642

    81900

    1050

    411

    59.9

    34.0

    14,500

    27,700

    422

    703

    3,410

    92.7

    W1000×443

    56300

    1010

    401

    41.9

    23.6

    9,660

    19,200

    414

    454

    2,260

    89.9

    W1000×393

    49900

    1020

    302

    43.9

    24.4

    8,070

    15,900

    401

    205

    1,350

    64.0

    W920×725

    92300

    998

    434

    68.1

    38.1

    15,000

    30,000

    401

    937

    4,310

    101.0

    W920×368

    46800

    932

    419

    34.3

    20.3

    6,950

    15,000

    386

    420

    2,020

    95.0

    W920×313

    39900

    932

    310

    34.5

    21.1

    5,490

    11,800

    371

    171

    1,110

    65.5

    W760×484

    61900

    823

    391

    29.0

    52.1

    6,990

    17,000

    335

    516

    2,650

    91.4

    W760×257

    32800

    772

    381

    27.2

    16.6

    3,430

    8,870

    323

    249

    1,310

    86.9

    W760×147

    18700

    754

    267

    17.0

    13.2

    1,660

    4,410

    297

    53.3

    401

    53.3

    W610×415

    52800

    678

    338

    53.1

    29.5

    4,000

    11,800

    274

    343

    2,030

    80.5

    W610×195

    24900

    622

    328

    24.4

    15.4

    1,670

    5,390

    259

    142

    869

    75.4

    W610×125

    15900

    612

    229

    19.6

    11.9

    986

    3,210

    249

    39.3

    342

    49.5

    W530×300

    38300

    584

    320

    41.4

    23.1

    2,210

    7,550

    241

    226

    1,410

    76.7

    W530×182

    23200

    551

    315

    24.4

    15.2

    1,230

    4,470

    231

    127

    806

    74.2

    W530×101

    12900

    536

    210

    17.4

    11.0

    616

    2,290

    218

    26.9

    257

    45.7

    W460×193

    24700

    490

    284

    30.5

    17.0

    1,020

    4,200

    204

    116

    818

    68.6

    W460×113

    14400

    462

    279

    17.3

    10.8

    554

    2,390

    196

    63.3

    452

    66.3

    W460×60

    7610

    455

    153

    8.0

    13.3

    255

    1,120

    183

    7.95

    104

    32.3

    W410×100

    12600

    414

    259

    16.9

    10.0

    397

    1,920

    177

    49.5

    380

    62.5

    W410×60

    7610

    406

    178

    12.8

    7.8

    216

    1,060

    168

    12

    135

    39.9

    W410×46.1

    5890

    404

    140

    11.2

    7.0

    156

    773

    163

    5.16

    73.6

    29.7

    W360×134

    17100

    356

    368

    18.0

    11.2

    416

    2,340

    156

    151

    818

    94.0

    W360×79

    10100

    353

    205

    16.8

    9.4

    225

    1,270

    150

    24

    234

    48.8

    W360×51

    6450

    356

    171

    11.6

    7.2

    142

    796

    148

    9.70

    113

    38.9

    W310×158

    20100

    328

    310

    25.1

    15.5

    388

    2,380

    139

    125

    808

    79.0

    W310×79

    10100

    307

    254

    14.6

    8.8

    177

    1,160

    133

    39.9

    315

    63.0

    W310×38.7

    4940

    310

    165

    9.7

    5.8

    64.9

    547

    131

    7.20

    87.5

    38.4

    A.3 WT Shapes. US Customary Units

    ufigappa_2.jpg

    Label

    Area, A (in.²)

    Depth, d (in.)

    Flange Width, bf (in.)

    Flange Thickness, tf (in.)

    Web Thickness, tw (in.)

    y_ (in. below top)

    Ix (in.⁴)

    Sx (in.³)

    rx (in.)

    Iy (in.⁴)

    Sy (in.³)

    ry (in.)

    WT22×184

    54.00

    22.20

    16.00

    2.17

    1.22

    5.57

    2,380

    143.0

    6.64

    675

    84.4

    3.54

    WT22×145

    42.60

    21.80

    15.80

    1.58

    0.865

    5.26

    1,830

    111.0

    6.54

    521

    65.9

    3.49

    WT22×115

    33.90

    21.50

    15.80

    1.22

    0.710

    5.17

    1,440

    88.6

    6.53

    398

    50.5

    3.43

    WT18×143

    42.00

    18.90

    12.30

    1.93

    1.06

    5.02

    1,360

    98.0

    5.69

    301

    48.9

    2.68

    WT18×105

    30.90

    18.30

    12.20

    1.36

    0.830

    4.87

    985

    73.1

    5.65

    206

    33.8

    2.58

    WT18×85

    25.00

    18.10

    12.00

    1.10

    0.680

    4.73

    786

    58.9

    5.61

    160

    26.6

    2.53

    WT15×117.5

    34.70

    15.70

    15.10

    1.50

    0.830

    3.41

    674

    55.1

    4.41

    427

    5.8

    3.51

    WT15×74

    21.80

    15.30

    10.50

    1.18

    0.650

    3.84

    466

    40.6

    4.63

    114

    21.7

    2.28

    WT15×58

    17.10

    15.00

    10.50

    0.85

    0.565

    3.94

    373

    33.7

    4.67

    82.1

    15.6

    2.19

    WT13.5×89

    26.30

    13.90

    14.10

    1.19

    0.725

    3.04

    414

    38.2

    3.97

    278

    39.4

    3.25

    WT13.5×57

    16.80

    13.60

    10.10

    0.93

    0.570

    3.42

    289

    28.3

    4.15

    79.3

    15.8

    2.18

    WT13.5×47

    13.80

    13.50

    10.00

    0.75

    0.490

    3.41

    239

    23.8

    4.16

    62.0

    12.4

    2.12

    WT12×73

    21.50

    12.40

    12.90

    1.09

    0.650

    2.66

    264

    27.2

    3.50

    195

    30.3

    3.01

    WT12×52

    15.30

    12.00

    12.80

    0.75

    0.500

    2.59

    189

    20.0

    3.51

    130

    20.3

    2.91

    WT12×42

    12.40

    12.10

    9.02

    0.77

    0.470

    2.97

    166

    18.3

    3.67

    47.2

    10.5

    1.95

    WT10.5×66

    19.40

    10.90

    12.40

    1.04

    0.650

    2.33

    181

    21.1

    3.06

    166

    26.7

    2.93

    WT10.5×50.5

    14.90

    10.70

    12.30

    0.80

    0.500

    2.18

    135

    15.8

    3.01

    124

    20.2

    2.89

    WT10.5×34

    10.00

    10.60

    8.27

    0.51

    0.430

    2.59

    103

    12.9

    3.20

    32.4

    7.83

    1.80

    WT9×79

    23.20

    9.86

    11.30

    1.44

    0.810

    2.17

    160

    20.8

    2.63

    174

    30.7

    2.74

    WT9×53

    15.60

    9.37

    11.20

    0.94

    0.590

    1.97

    104

    14.1

    2.59

    110

    19.7

    2.66

    WT9×38

    11.10

    9.11

    11.00

    0.68

    0.425

    1.80

    71.8

    9.83

    2.54

    76.2

    13.8

    2.61

    WT7×88

    25.90

    7.61

    15.70

    1.31

    0.830

    1.43

    80.5

    13.0

    1.76

    419

    53.5

    4.02

    WT7×60

    17.70

    7.24

    14.70

    0.94

    0.590

    1.24

    51.7

    8.61

    1.71

    247

    33.7

    3.74

    WT7×41

    12.00

    7.16

    10.10

    0.86

    0.510

    1.39

    41.2

    7.14

    1.85

    74.1

    14.6

    2.48

    WT5×44

    13.00

    5.42

    10.30

    0.99

    0.605

    1.06

    20.8

    4.77

    1.27

    89.9

    17.4

    2.63

    WT5×30

    8.84

    5.11

    10.10

    0.68

    0.420

    0.88

    12.9

    3.04

    1.21

    58.1

    11.5

    2.57

    WT5×15

    4.42

    5.24

    5.81

    0.51

    0.300

    1.10

    9.28

    2.24

    1.45

    8.35

    2.87

    1.37

    A.4 WT Shapes. SI Units

    Label

    Area, A (mm²)

    Depth, d (mm)

    Flange Width, bf (mm)

    Flange Thickness, tf (mm)

    Web Thickness, tw (mm)

    y_ (mm below top)

    Ix (´10⁶ mm⁴)

    Sx (´10³ mm³)

    rx (mm)

    Iy (´10⁶ mm⁴)

    Sy (´10³ mm³)

    ry (mm)

    WT550×274

    34800

    564

    406

    50.0

    27.9

    141

    991

    2,340

    169

    281.6

    1,380

    89.9

    WT550×216.5

    27500

    554

    401

    40.1

    22.0

    134

    762

    1,820

    166

    217

    1,080

    88.6

    WT550×171.5

    21900

    546

    401

    31.0

    18.0

    131

    599

    1,450

    166

    166

    828

    87.1

    WT460×212.5

    27100

    480

    312

    49.0

    26.9

    128

    566

    1,610

    145

    125

    801

    68.1

    WT460×156.5

    19900

    465

    310

    34.5

    21.1

    124

    410

    1,200

    144

    85.7

    554

    65.5

    WT460×126.5

    16100

    460

    305

    27.9

    17.3

    120

    327

    965

    142

    66.6

    436

    64.3

    WT380×175

    22400

    399

    384

    38.1

    21.1

    86.6

    281

    903

    112

    178

    931

    89.2

    WT380×110

    14100

    389

    267

    30.0

    16.5

    97.5

    194

    665

    118

    47.5

    356

    57.9

    WT380×86.5

    11000

    381

    267

    21.6

    14.4

    100

    155

    552

    119

    34.2

    256

    55.6

    WT345×132.5

    17000

    353

    358

    30.2

    18.4

    77.2

    172

    626

    101

    116

    646

    82.6

    WT345×85

    10800

    345

    257

    23.6

    14.5

    86.9

    120

    464

    105

    33.0

    259

    55.4

    WT345×70

    8900

    343

    254

    18.9

    12.4

    86.6

    99.5

    390

    106

    25.8

    203

    53.8

    WT305×108.5

    13900

    315

    328

    27.7

    16.5

    67.6

    110

    446

    88.9

    81.2

    497

    76.5

    WT305×77.5

    9870

    305

    325

    19.1

    12.7

    65.8

    78.7

    328

    89.2

    54.1

    333

    73.9

    WT305×62.5

    8000

    307

    229

    19.6

    11.9

    75.4

    69.1

    300

    93.2

    19.6

    172

    49.5

    WT265×98

    12500

    277

    315

    26.4

    16.5

    59.2

    75.3

    346

    77.7

    69.1

    438

    74.4

    WT265×75

    9610

    272

    312

    20.3

    12.7

    55.4

    56.2

    259

    76.5

    51.6

    331

    73.4

    WT265×50.5

    6450

    269

    210

    17.4

    10.9

    65.8

    42.9

    211

    81.3

    13.5

    128

    45.7

    WT230×117.5

    15000

    250

    287

    36.6

    20.6

    55.1

    66.6

    341

    66.8

    72.4

    503

    69.6

    WT230×79

    10100

    238

    284

    23.9

    15.0

    50.0

    43.3

    231

    65.8

    45.8

    323

    67.6

    WT230×56.5

    7160

    231

    279

    17.3

    10.8

    45.7

    29.9

    161

    64.5

    31.7

    226

    66.3

    WT180×131

    16700

    193

    399

    33.3

    21.1

    36.3

    33.5

    213

    44.7

    174

    877

    102.0

    WT180×89.5

    11400

    184

    373

    23.9

    15.0

    31.5

    21.5

    141

    43.4

    103

    552

    95.0

    WT180×61

    7740

    182

    257

    21.7

    13.0

    35.3

    17.1

    117

    47.0

    30.8

    239

    63.0

    WT125×65.5

    8390

    138

    262

    25.1

    15.4

    26.9

    8.66

    78.2

    32.3

    37.2

    285

    66.8

    WT125×44.5

    5700

    130

    257

    17.3

    10.7

    22.5

    5.37

    49.8

    30.7

    24.2

    188

    65.3

    WT125×224

    2850

    133

    148

    13.0

    7.62

    27.9

    3.86

    36.7

    36.8

    3.48

    47.0

    34.8

    References

    Table data

    Copyright © American Institute of Steel Construction Reprinted with permission. All rights reserved.

    Figures

    All figures in this appendix were created by Kindred Grey in 2025 and released under a CC BY license.


    This page titled Appendix A: Geometric Properties of Standard Beams was last modified on Fri, 30 Oct 2026 07:40:00 GMT and is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by James K. Lord, Amy Richardson, Sneha Davison, and David A. Dillard via source content that was edited to the style and standards of the LibreTexts platform.