CALCULOS

AI W, S, M, HP Shapes C, MC Shapes Y Y k1=2.06375 k=2.45618 tf=1.4351 tf=0.501 x(bar)=0.674 d=40.894 X T X d=

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AI W, S, M, HP Shapes

C, MC Shapes

Y

Y k1=2.06375

k=2.45618

tf=1.4351

tf=0.501

x(bar)=0.674 d=40.894

X

T

X

d=12

tw=0.8763

tw=0.51

bf=17.8816

bf=3.17

W16x45 A=

85.81

d=

C12x30 cm.^2

A=

8.81

40.894

cm.

d=

12.000

in.

tw =

0.876

cm.

tw =

0.510

in.

bf =

17.882

cm.

bf =

3.170

in.

tf =

1.435

cm.

tf =

0.501

in.

T=

100535.74

cm.

T=

9-3/4

in.

k=

2.4562

cm.

k=

1.1250

in.

k1 =

2.0638

cm.

gage =

1-3/4

in.

94637.86

cm.

x(bar) =

0.674

in.

4.648

cm.

eo =

0.618

in.

gage = rt = d/Af =

4.06

d/Af =

Ix =

24391.16

Sx =

1191.34

rx =

16.891

cm.

in.^2

7.55

cm.^4

Ix =

162.00

in.^4

cm.^3

Sx =

27.00

in.^3

rx =

4.290

in.

cm.^4

Iy =

5.12

in.^4

cm.^3

Sy =

2.05

in.^3

ry =

0.762 0.86

in.^4 in.^6

Iy =

1365.24

Sy =

153.06

ry =

3.988

Zx =

1348.66

cm.^3

J=

Zy =

237.61

cm.^3

Cw =

151

J=

46.20

cm.^4

a=

21.31

in.

Cw = 534386.374414791 cm.^6

ro(bar) =

4.54

in.

H=

0.919

a=

cm.

439.56

cm.

Wno =

176.77

cm.^2

Sw =

1132.15

cm.^4

Qf =

240.89

cm.^3

Qw =

665.31

cm.^3

in.

NOMENCLATURE FOR AISC MEMBER PROPERTIES AND DIMENSIONS:

A d tw bf tf T k k1 gage rt d/Af Ix Sx rx Iy Sy ry Zx Zy J Cw a E G Wno Sw Qf Qw x(bar) eo xo yo ro(bar)

= Cross-sectional area of member (in.^2) = Overall depth of member, parallel to X-axis (in.) = Thickness of web of member (in.) = Width of flange of member (in.) = Thickness of flange of member (in.) = Distance between fillets for wide-flange or channel shape (in.) = d-(2*k) = Distance from outer face of flange to web toe of fillet (in.) = Distance from web centerline to flange toe of fillet (in.) = Standard gage (bolt spacing) for member (in.) (Note: gages for angles are available by v = Radius of gyration of compression flange plus 1/3 of compression web area, take = Ratio of of total depth of member to area of compression flange of member = d/( = Moment of inertia of member taken about X-axis (in.^4) = Elastic section modulus of member taken about X-axis (in.^3) = Radius of gyration of member taken about X-axis (in.) = SQRT(I x/A) = Moment of inertia of member taken about Y-axis (in.^4) = Elastic section modulus of member taken about Y-axis (in.^3) = Radius of gyration of member taken about Y-axis (in.) = SQRT(I y/A) = Plastic section modulus of member taken about X-axis (in.^3) = Plastic section modulus of member taken about Y-axis (in.^3) = Torsional constant of member (in.^4) = Warping constant (in.^6) = Torsional property, a = SQRT(E*Cw/G*J) = Modulus of elasticity of steel = 29,000 ksi = Shear modulus of elasticity of steel = 11,200 ksi = Normalized warping function at a point at the flange edge (in.^2) = Warping statical moment at a point on the cross section (in.^4) = Statical moment for a point in the flange directly above the vertical edge of the w = Statical moment at the mid-depth of the section (in.^3) = Distance from outside face of web of channel shape to Y-axis (in.) = Horizontal distance from the outer edge of a channel web to its shear center (in. = x-coordinate of shear center with respect to the centroid of the section (in.) = y-coordinate of shear center with respect to the centroid of the section (in.) = Polar radius of gyration about the shear center (in.) = SQRT(x o^2+yo^2+(Ix+Iy)/A

H LLBB SLBB STD XS XXS

= Flexural constant, H = 1-(xo^2+yo^2)/ro(bar)^2) = Long legs back-to-back for double angles = Short legs back-to-back for double angles = Standard weight (Schedule 40) pipe section = Extra strong (Schedule 80) pipe section = Double-extra strong pipe section

AISC MEMBER DIMENSIONS AND PROPERTIES VIEWER WT, ST, MT Shapes

Single Angles

Y

Y

bf=17.0942 y=4.0132

x=2.8702 tf=0.9779

d=10.16

t=0.9525

X y=2.8702

X

d=17.5768

tw=0.6858

b=10.16

WT7x15

L4x4x3/8

Ag =

28.516

cm.^2

d=

10.16

cm.

d=

17.577

cm.

b=

10.16

cm.

tw =

0.686

cm.

t=

0.9525

cm.

bf =

17.094

cm.

k=

1.9050

cm.

tf =

0.978

cm.

wt./ft. =

9.72

plf.

k=

1.9939

cm.

Ag =

18.45

cm.^2

Ix =

790.84

cm.^4

Ix =

179.81

cm.^4

Sx =

58.17

cm.^3

Sx =

24.58

cm.^3

rx =

5.258

cm.

rx =

3.124

cm.

y=

4.013

cm.

y=

2.870

cm.

Iy =

407.49

cm.^4

Iy =

179.81

cm.^4

Sy =

47.69

cm.^3

Sy =

24.58

cm.^3

ry =

3.785

cm.

ry =

3.124

cm.

J=

7.908

cm.^4

x=

2.870

cm.

Cw =

77.069793697

cm.^6

rz =

1.979

cm.

a=

12.76

cm.

TAN() =

1.000

ro(bar) =

7.37

cm.

J=

H=

0.771

5.868863101

cm.^4

Cw =

43.5028103795

cm.^6

a=

11.13

cm.

ro(bar) =

5.56

cm.

H=

0.629

Reference: The shapes contained in this database are a compilation of those listed in the current AISC "Shapes Database" CD-ROM Version 3.0 (June, 2001), as well as those listed in the AISC 9th Edition Manual of Steel Construction (1989).

Reference: The shapes contained in this database are a compilation of those listed in the current AISC "Shapes Database" CD-ROM Version 3.0 (June, 2001), as well as those listed in the AISC 9th Edition Manual of Steel Construction (1989).

ape (in.) = d-(2*k)

ages for angles are available by viewing comment box at cell K18.)

ompression web area, taken about an axis in plane of web (in.) on flange of member = d/(b f*tf)

= SQRT(I x/A)

= SQRT(Iy/A)

dge (in.^2)

e the vertical edge of the web (in.^3)

Y-axis (in.) web to its shear center (in.) = (approx.) t f*(d-tf)^2*(bf-tw/2)^2/(4*Ix)-tw/2 id of the section (in.) id of the section (in.) SQRT(x o^2+yo^2+(Ix+Iy)/A)

WER Double Angles

Rectangular HSS Y

Y t=0.349

b=5 t=0.375

X d=3.5

X

H=8

(0, 3/8, or 3/4 gap)

B=6

2L5x3-1/2x3/8SLBB

HSS8x6x3/8

d=

3.5

in.

d=

8

in.

b=

5

in.

b=

6

in.

t=

0.375

in.

t=

0.349

in.

k=

0.8125

in.

wt./ft. =

32.50

plf.

wt./ft. =

20.80

plf.

A=

8.97

in.^2

A=

6.10

in.^2

Ix =

79.10

in.^4

in.^4

Sx =

19.80

in.^3

2.970

in.

Ix =

6.31

Sx =

2.38

in.^3

rx =

rx =

1.020

in.

Iy =

50.60

in.^4

y=

0.854

in.

Sy =

16.90

in.^3

ry(0) =

2.260

in.

ry =

2.380

in.

ry(3/8) =

2.390

in.

Zx =

24.10

in.^3

ry(3/4) =

2.540

in.

Zy =

19.80

in.^3

ro(bar) =

2.56

in.

J=

100.00

in.^4

H=

0.933

Round HSS & Pipes Y Plates Y

t=0.322

t=0.375

X

X

O.D.=8.63 b=12

I.D.=7.98 t=

3/ 8

in.

b=

12

in.

wt./ft. =

15.31

plf.

A=

4.500

in.^2

PIPE8STD

O.D. =

8.63

in.

I.D. =

7.98

in.

Ix =

0.053

in.^4

t=

0.322

in.

Sx =

0.281

in.^3

wt./ft. =

28.60

plf.

rx =

0.108

in.

A=

8.40

in.^2

Iy =

54.000

in.^4

I=

72.50

in.^4

Sy =

9.000

in.^3

S=

16.80

in.^3

ry =

3.464

in.

r=

2.940

in.

J=

54.053

in.^4

J=

145.00

in.^4

Version 1.5

16.1

Shape W44x335 W44x290 W44x285 W44x262 W44x248 W44x230 W44X224 W44x198 W40x655

W40x593 W40x531 W40x503 W40x480 W40x466 W40x436 W40x431

A

d

tw

bf

tf

98.3 85.8

44 43.6

1.02 0.87

16 15.8

1.77 1.58

83.8

44.02

1.024

11.811

1.772

77.2

43.3

0.79

15.8

1.42

72.8

43.62

0.865

11.811

1.575

67.7

42.9

0.71

15.8

1.22

65.8 58 192

43.31 42.91 43.62

0.787 0.709 1.97

11.811 11.811 16.87

1.416 1.22 3.54

174

43

1.79

16.7

3.23

156

42.34

1.61

16.51

2.91

148

42.1

1.54

16.4

2.76

140 137 128

41.81 42.44 41.34

1.46 1.67 1.34

16.36 12.64 16.24

2.64 2.95 2.4

127 117 115 109 107 97.5

41.3 41 41.6 40.6 40.6 40.8

1.34 1.22 1.42 1.16 1.12 1.22

16.2 16.1 12.4 16.1 16 12.2

2.36 2.2 2.52 2.05 2.01 2.13

96.4 96

40 40.8

0.91 1.18

17.91 12.1

1.73 2.13

W40x324

95.3

40.2

1

15.9

1.81

W40x321 W40x298

94.1 87.6

40.08 39.69

1 0.83

15.91 17.83

1.77 1.575

W40x297

87.4 81.8 81.4

39.8 40.2 39.7

0.93 1.02 0.83

15.8 12 15.8

1.65 1.81 1.58

78.8

39.37

0.75

17.75

1.415

77.6 73.3

40 39.4

0.96 0.75

11.9 15.8

1.73 1.42

W40x244 W40x235 W40x221

71.7

39.06

0.71

17.71

1.26

69

39.7

0.83

11.9

1.58

64.8

38.67

0.71

17.71

1.065

W40x215

63.4 62 58.5

39 39.4 38.7

0.65 0.75 0.65

15.8 11.8 15.8

1.22 1.42 1.07

W40x397 W40x392 W40x372

W40x362 W40x331 W40x328 W40x327

W40x278

W40x277 W40x268 W40x264

W40x249

W40x211

W40x199 W40x192

56.5

38.2

0.71

17.71

0.83

W40x183

53.8

39

0.65

11.8

1.22

W40x174

51.1

38.2

0.65

15.75

0.83

W40x167 W40x149

49.2 43.8

38.6 38.2

0.65 0.63

11.8 11.8

1.02 0.83

W36x848

249

42.45

W36x798

235

42

W36x720

211

41.19

W36x650

191

40.5

W36x588

172

W36x527 W36x485

2.52

18.13

4.53

2.38

18

4.29

2.165

17.775

3.9

1.97

17.6

3.54

39.84

1.79

17.4

3.23

155

39.2

1.61

17.2

2.91

142

38.74

1.5

17.105

2.68

W36x439 W36x393 W36x359 W36x328 W36x300 W36x280 W36x260 W36x256 W36x245 W36x232 W36x230 W36x210 W36x194 W36x182 W36x170 W36x160 W36x150 W36x135

129 116 105 96.4 88.3 82.4 76.5 75.4 72.1 68.1 67.6 61.8 57 53.6 50.1 47 44.2 39.7

38.3 37.8 37.4 37.1 36.7 36.5 36.3 37.4 36.1 37.1 35.9 36.7 36.5 36.3 36.2 36 35.9 35.6

1.36 1.22 1.12 1.02 0.945 0.885 0.84 0.96 0.8 0.87 0.76 0.83 0.765 0.725 0.68 0.65 0.625 0.6

17 16.8 16.7 16.6 16.7 16.6 16.6 12.2 16.5 12.1 16.5 12.2 12.1 12.1 12 12 12 12

2.44 2.2 2.01 1.85 1.68 1.57 1.44 1.73 1.35 1.57 1.26 1.36 1.26 1.18 1.1 1.02 0.94 0.79

W33x619 W33x567 W33x515 W33x468 W33x424

181 166 151 137 124

38.47 37.91 37.36 36.81 36.34

1.97 1.81 1.65 1.52 1.38

16.91 16.75 16.59 16.455 16.315

3.54 3.27 2.99 2.72 2.48

W33x387 W33x354 W33x318 W33x291 W33x263 W33x241 W33x221 W33x201 W33x169 W33x152 W33x141 W33x130 W33x118

114 104 93.6 85.7 77.5 71 65.2 59.2 49.5 44.8 41.6 38.3 34.7

36 35.6 35.2 34.8 34.5 34.2 33.9 33.7 33.8 33.5 33.3 33.1 32.9

1.26 1.16 1.04 0.96 0.87 0.83 0.775 0.715 0.67 0.635 0.605 0.58 0.55

16.2 16.1 16 15.9 15.8 15.9 15.8 15.7 11.5 11.6 11.5 11.5 11.5

2.28 2.09 1.89 1.73 1.57 1.4 1.27 1.15 1.22 1.06 0.96 0.855 0.74

W30x581 W30x526

170 154

35.39 34.76

1.97 1.79

16.2 16.02

3.54 3.23

W30x477 W30x433

140 127

34.21 33.66

1.63 1.5

15.865 15.725

2.95 2.68

W30x391 W30x357 W30x326 W30x292 W30x261 W30x235 W30x211 W30x191 W30x173 W30x148 W30x132 W30x124 W30x116 W30x108 W30x99 W30x90 W27x539

115 105 95.8 85.9 76.9 69.2 62.2 56.3 51 43.5 38.9 36.5 34.2 31.7 29.1 26.4 159

33.2 32.8 32.4 32 31.6 31.3 30.9 30.7 30.4 30.7 30.3 30.2 30 29.8 29.7 29.5 32.5

1.36 1.24 1.14 1.02 0.93 0.83 0.775 0.71 0.655 0.65 0.615 0.585 0.565 0.545 0.52 0.47 1.97

15.6 15.5 15.4 15.3 15.2 15.1 15.1 15 15 10.5 10.5 10.5 10.5 10.5 10.5 10.4 15.3

2.44 2.24 2.05 1.85 1.65 1.5 1.32 1.19 1.07 1.18 1 0.93 0.85 0.76 0.67 0.61 3.54

W27x494 W27x448 W27x407

145 131 119

31.97 31.42 30.87

1.81 1.65 1.52

15.095 14.94 14.8

3.27 2.99 2.72

W27x368 W27x336 W27x307 W27x281 W27x258 W27x235 W27x217 W27x194 W27x178 W27x161 W27x146 W27x129 W27x114 W27x102 W27x94 W27x84

108 98.9 90.4 82.9 76 69.4 64 57.2 52.5 47.6 43.1 37.8 33.5 30 27.7 24.8

30.4 30 29.6 29.3 29 28.7 28.4 28.1 27.8 27.6 27.4 27.6 27.3 27.1 26.9 26.7

1.38 1.26 1.16 1.06 0.98 0.91 0.83 0.75 0.725 0.66 0.605 0.61 0.57 0.515 0.49 0.46

14.7 14.6 14.4 14.4 14.3 14.2 14.1 14 14.1 14 14 10 10.1 10 9.99 9.96

2.48 2.28 2.09 1.93 1.77 1.61 1.5 1.34 1.19 1.08 0.975 1.1 0.93 0.83 0.745 0.64

W24x492 W24x450 W24x408

144 132 119

29.65 29.09 28.54

1.97 1.81 1.65

14.115 13.955 13.8

3.54 3.27 2.99

W24x370 W24x335 W24x306 W24x279

109 98.4 89.8 82

28 27.5 27.1 26.7

1.52 1.38 1.26 1.16

13.7 13.5 13.4 13.3

2.72 2.48 2.28 2.09

W24x250 W24x229 W24x207 W24x192 W24x176 W24x162 W24x146 W24x131 W24x117 W24x104 W24x103 W24x94 W24x84 W24x76 W24x68 W24x62 W24x55

73.5 67.2 60.7 56.3 51.7 47.7 43 38.5 34.4 30.6 30.3 27.7 24.7 22.4 20.1 18.3 16.3

26.3 26 25.7 25.5 25.2 25 24.7 24.5 24.3 24.1 24.5 24.3 24.1 23.9 23.7 23.7 23.6

1.04 0.96 0.87 0.81 0.75 0.705 0.65 0.605 0.55 0.5 0.55 0.515 0.47 0.44 0.415 0.43 0.395

13.2 13.1 13 13 12.9 13 12.9 12.9 12.8 12.8 9 9.07 9.02 8.99 8.97 7.04 7.01

1.89 1.73 1.57 1.46 1.34 1.22 1.09 0.96 0.85 0.75 0.98 0.875 0.77 0.68 0.585 0.59 0.505

W21x402 W21x364 W21x333 W21x300 W21x275 W21x248 W21x223

118 107 97.9 88.2 80.8 72.8 65.4

26.02 25.47 25 24.53 24.13 23.74 23.35

1.73 1.59 1.46 1.32 1.22 1.1 1

13.405 13.265 13.13 12.99 12.89 12.775 12.675

3.13 2.85 2.62 2.38 2.19 1.99 1.79

W21x201 W21x182 W21x166 W21x147 W21x132 W21x122 W21x111 W21x101 W21x93 W21x83 W21x73 W21x68 W21x62 W21x57

59.2 53.6 48.8 43.2 38.8 35.9 32.7 29.8 27.3 24.3 21.5 20 18.3 16.7

23 22.7 22.5 22.1 21.8 21.7 21.5 21.4 21.6 21.4 21.2 21.1 21 21.1

0.91 0.83 0.75 0.72 0.65 0.6 0.55 0.5 0.58 0.515 0.455 0.43 0.4 0.405

12.6 12.5 12.4 12.5 12.4 12.4 12.3 12.3 8.42 8.36 8.3 8.27 8.24 6.56

1.63 1.48 1.36 1.15 1.03 0.96 0.875 0.8 0.93 0.835 0.74 0.685 0.615 0.65

W21x55

16.2

20.8

0.375

8.22

0.522

W21x50

14.7

20.8

0.38

6.53

0.535

W21x48

14.1

20.6

0.35

8.14

0.43

W21x44

13

20.7

0.35

6.5

0.45

W18x311 W18x283 W18x258

91.5 83.2 75.9

22.32 21.85 21.46

1.52 1.4 1.28

12.005 11.89 11.77

2.74 2.5 2.3

W18x234 W18x211 W18x192

68.8 62.1 56.4

21.06 20.67 20.35

1.16 1.06 0.96

11.65 11.555 11.455

2.11 1.91 1.75

W18x175 W18x158 W18x143 W18x130 W18x119 W18x106 W18x97 W18x86 W18x76 W18x71 W18x65 W18x60 W18x55 W18x50 W18x46 W18x40 W18x35 W16x100 W16x89 W16x77 W16x67 W16x57 W16x50 W16x45 W16x40 W16x36 W16x31 W16x26

51.3 46.3 42.1 38.2 35.1 31.1 28.5 25.3 22.3 20.8 19.1 17.6 16.2 14.7 13.5 11.8 10.3 29.7 26.4 22.9 20 16.8 14.7 13.3 11.8 10.6 9.13 7.68

20 19.7 19.5 19.3 19 18.7 18.6 18.4 18.2 18.5 18.4 18.2 18.1 18 18.1 17.9 17.7 17 16.8 16.5 16.3 16.4 16.3 16.1 16 15.9 15.9 15.7

0.89 0.81 0.73 0.67 0.655 0.59 0.535 0.48 0.425 0.495 0.45 0.415 0.39 0.355 0.36 0.315 0.3 0.585 0.525 0.455 0.395 0.43 0.38 0.345 0.305 0.295 0.275 0.25

11.4 11.3 11.2 11.2 11.3 11.2 11.1 11.1 11 7.64 7.59 7.56 7.53 7.5 6.06 6.02 6 10.4 10.4 10.3 10.2 7.12 7.07 7.04 7 6.99 5.53 5.5

1.59 1.44 1.32 1.2 1.06 0.94 0.87 0.77 0.68 0.81 0.75 0.695 0.63 0.57 0.605 0.525 0.425 0.985 0.875 0.76 0.665 0.715 0.63 0.565 0.505 0.43 0.44 0.345

W14x808

237

22.8

3.74

18.6

5.12

W14x730 W14x665 W14x605 W14x550 W14x500 W14x455 W14x426 W14x398 W14x370 W14x342 W14x311 W14x283 W14x257

215 196 178 162 147 134 125 117 109 101 91.4 83.3 75.6

22.4 21.6 20.9 20.2 19.6 19 18.7 18.3 17.9 17.5 17.1 16.7 16.4

3.07 2.83 2.6 2.38 2.19 2.02 1.88 1.77 1.66 1.54 1.41 1.29 1.18

17.9 17.7 17.4 17.2 17 16.8 16.7 16.6 16.5 16.4 16.2 16.1 16

4.91 4.52 4.16 3.82 3.5 3.21 3.04 2.85 2.66 2.47 2.26 2.07 1.89

W14x233 W14x211 W14x193 W14x176 W14x159 W14x145 W14x132 W14x120 W14x109 W14x99 W14x90 W14x82 W14x74 W14x68 W14x61 W14x53 W14x48 W14x43 W14x38 W14x34 W14x30 W14x26 W14x22 W12x336 W12x305 W12x279 W12x252 W12x230 W12x210 W12x190 W12x170 W12x152 W12x136 W12x120 W12x106 W12x96 W12x87 W12x79 W12x72 W12x65 W12x58 W12x53 W12x50 W12x45 W12x40

68.5 62 56.8 51.8 46.7 42.7 38.8 35.3 32 29.1 26.5 24 21.8 20 17.9 15.6 14.1 12.6 11.2 10 8.85 7.69 6.49 98.8 89.6 81.9 74 67.7 61.8 55.8 50 44.7 39.9 35.3 31.2 28.2 25.6 23.2 21.1 19.1 17 15.6 14.6 13.1 11.7

16 15.7 15.5 15.2 15 14.8 14.7 14.5 14.3 14.2 14 14.3 14.2 14 13.9 13.9 13.8 13.7 14.1 14 13.8 13.9 13.7 16.8 16.3 15.9 15.4 15.1 14.7 14.4 14 13.7 13.4 13.1 12.9 12.7 12.5 12.4 12.3 12.1 12.2 12.1 12.2 12.1 11.9

1.07 0.98 0.89 0.83 0.745 0.68 0.645 0.59 0.525 0.485 0.44 0.51 0.45 0.415 0.375 0.37 0.34 0.305 0.31 0.285 0.27 0.255 0.23 1.78 1.63 1.53 1.4 1.29 1.18 1.06 0.96 0.87 0.79 0.71 0.61 0.55 0.515 0.47 0.43 0.39 0.36 0.345 0.37 0.335 0.295

15.9 15.8 15.7 15.7 15.6 15.5 14.7 14.7 14.6 14.6 14.5 10.1 10.1 10 9.99 8.06 8.03 8 6.77 6.75 6.73 5.03 5 13.4 13.2 13.1 13 12.9 12.8 12.7 12.6 12.5 12.4 12.3 12.2 12.2 12.1 12.1 12 12 10 9.99 8.08 8.05 8.01

1.72 1.56 1.44 1.31 1.19 1.09 1.03 0.94 0.86 0.78 0.71 0.855 0.785 0.72 0.645 0.66 0.595 0.53 0.515 0.455 0.385 0.42 0.335 2.96 2.71 2.47 2.25 2.07 1.9 1.74 1.56 1.4 1.25 1.11 0.99 0.9 0.81 0.735 0.67 0.605 0.64 0.575 0.64 0.575 0.515

W12x35 W12x30 W12x26 W12x22 W12x19 W12x16 W12x14 W10x112 W10x100 W10x88 W10x77 W10x68 W10x60 W10x54 W10x49 W10x45 W10x39 W10x33 W10x30 W10x26 W10x22 W10x19 W10x17 W10x15 W10x12 W8x67 W8x58 W8x48 W8x40 W8x35 W8x31 W8x28 W8x24 W8x21 W8x18 W8x15 W8x13 W8x10 W6x25 W6x20 W6x16 W6x15 W6x12 W6x9

10.3 8.79 7.65 6.48 5.57 4.71 4.16 32.9 29.4 25.9 22.6 20 17.6 15.8 14.4 13.3 11.5 9.71 8.84 7.61 6.49 5.62 4.99 4.41 3.54 19.7 17.1 14.1 11.7 10.3 9.12 8.24 7.08 6.16 5.26 4.44 3.84 2.96 7.36 5.89 4.74 4.45 3.55 2.68

12.5 12.3 12.2 12.3 12.2 12 11.9 11.4 11.1 10.8 10.6 10.4 10.2 10.1 9.98 10.1 9.92 9.73 10.5 10.3 10.2 10.2 10.1 9.99 9.87 9 8.75 8.5 8.25 8.12 8 8.06 7.93 8.28 8.14 8.11 7.99 7.89 6.38 6.2 6.28 5.99 6.03 5.9

0.3 0.26 0.23 0.26 0.235 0.22 0.2 0.755 0.68 0.605 0.53 0.47 0.42 0.37 0.34 0.35 0.315 0.29 0.3 0.26 0.24 0.25 0.24 0.23 0.19 0.57 0.51 0.4 0.36 0.31 0.285 0.285 0.245 0.25 0.23 0.245 0.23 0.17 0.32 0.26 0.26 0.23 0.23 0.17

6.56 6.52 6.49 4.03 4.01 3.99 3.97 10.4 10.3 10.3 10.2 10.1 10.1 10 10 8.02 7.99 7.96 5.81 5.77 5.75 4.02 4.01 4 3.96 8.28 8.22 8.11 8.07 8.02 8 6.54 6.5 5.27 5.25 4.01 4 3.94 6.08 6.02 4.03 5.99 4 3.94

0.52 0.44 0.38 0.425 0.35 0.265 0.225 1.25 1.12 0.99 0.87 0.77 0.68 0.615 0.56 0.62 0.53 0.435 0.51 0.44 0.36 0.395 0.33 0.27 0.21 0.935 0.81 0.685 0.56 0.495 0.435 0.465 0.4 0.4 0.33 0.315 0.255 0.205 0.455 0.365 0.405 0.26 0.28 0.215

W6x8.5

2.51

5.83

0.17

3.94

0.194

W5x19 W5x16 W4x13 S24x121 S24x106 S24x100 S24x90 S24x80 S20x96 S20x86 S20x75 S20x66 S18x70 S18x54.7 S15x50 S15x42.9 S12x50 S12x40.8 S12x35 S12x31.8 S10x35 S10x25.4 S8x23 S8x18.4

5.56 4.71 3.83 35.5 31.1 29.3 26.5 23.5 28.2 25.3 22 19.4 20.5 16 14.7 12.6 14.6 11.9 10.2 9.31 10.3 7.45 6.76 5.4

5.15 5.01 4.16 24.5 24.5 24 24 24 20.3 20.3 20 20 18 18 15 15 12 12 12 12 10 10 8 8

0.27 0.24 0.28 0.8 0.62 0.745 0.625 0.5 0.8 0.66 0.635 0.505 0.711 0.461 0.55 0.411 0.687 0.462 0.428 0.35 0.594 0.311 0.441 0.271

5.03 5 4.06 8.05 7.87 7.25 7.13 7 7.2 7.06 6.39 6.26 6.25 6 5.64 5.5 5.48 5.25 5.08 5 4.94 4.66 4.17 4

0.43 0.36 0.345 1.09 1.09 0.87 0.87 0.87 0.92 0.92 0.795 0.795 0.691 0.691 0.622 0.622 0.659 0.659 0.544 0.544 0.491 0.491 0.425 0.425

S7x20 S7x15.3

5.88 4.5

7 7

0.45 0.252

3.86 3.662

0.392 0.392

S6x17.25 S6x12.5

5.06 3.66

6 6

0.465 0.232

3.57 3.33

0.359 0.359

S5x14.75

4.34

5

0.494

3.284

0.326

S5x10 S4x9.5 S4x7.7 S3x7.5 S3x5.7

2.93 2.79 2.26 2.2 1.66

5 4 4 3 3

0.214 0.326 0.193 0.349 0.17

3 2.8 2.66 2.51 2.33

0.326 0.293 0.293 0.26 0.26

M14x18

5.1

14

0.215

4

0.27

M12x11.8 M12x10.8 M12x10 M10x9 M10x8 M10x7.5 M8x6.5

3.47 3.18 2.95 2.65 2.37 2.22 1.92

12 12 12 10 9.95 9.99 8

0.177 0.16 0.149 0.157 0.141 0.13 0.135

3.07 3.07 3.25 2.69 2.69 2.69 2.28

0.225 0.21 0.18 0.206 0.182 0.173 0.189

M8x6.2

1.82

8

0.129

2.28

0.177

M6x4.4

1.29

6

0.114

1.84

0.171

M6x3.7

1.09

5.92

0.098

2

0.129

M5x18.9

5.55

5

0.316

5

0.416

M4x8

1.75

3.8

0.13

3.8

0.16

HP14x117 HP14x102 HP14x89 HP14x73

34.4 30 26.1 21.4

14.2 14 13.8 13.6

0.805 0.705 0.615 0.505

14.9 14.8 14.7 14.6

0.805 0.705 0.615 0.505

HP13x100 HP13x87 HP13x73 HP13x60

29.4 25.5 21.6 17.5

13.15 12.95 12.75 12.54

0.765 0.665 0.565 0.46

13.205 13.105 13.005 12.9

0.765 0.665 0.565 0.46

HP12x84 HP12x74 HP12x63 HP12x53 HP10x57 HP10x42 HP8x36

24.6 21.8 18.4 15.5 16.8 12.4 10.6

12.3 12.1 11.9 11.8 9.99 9.7 8.02

0.685 0.605 0.515 0.435 0.565 0.415 0.445

12.3 12.2 12.1 12 10.2 10.1 8.15

0.685 0.61 0.515 0.435 0.565 0.42 0.445

W, S, M, and HP Section Properties from AISC Version 3.0 CD Database (2001) and T 38-3/4 38-3/4

k

2.56 2.37

38-5/8 38-3/4

2.6875

38-5/8 38-3/4

2.5

2.21 2.01

38-5/8 38-5/8 33-3/4 34

2.3125 2.125 4.9375

33-3/4 34

4.3125

33-3/4 34-3/16 33-3/4 34 34 34 34 34 34

4 4.125 3.8125

33-3/4 34 34

3.125 3.31

34-3/16 33-3/4 34 34 34

2.9375 3

33-3/4 34 34

2.8125

33-3/4 34

2.625

33-3/4 34 34 34

2.4375

33-3/4 34 34-3/16 34 34

2.25

4.41 3.94

3.54 3.38 3.7 3.23 3.19 3.31

2.99

2.83 2.99 2.76 2.91 2.6 2.76 2.4 2.6 2.25 2.4 2

2.21 2.01

k1 1.3125 1.25 1.375 1.1875 1.3125 1.1875 1.3125 1.25 2.25 2.125 2 2 2 2 1.9375 1.875 1.8125 1.9375 1.8125 1.75 1.8125 1.6875 1.8125 1.6875 1.6875 1.625 1.6875 1.75 1.625 1.5625 1.6875 1.5625 1.5625 1.625 1.5625 1.5625 1.5625 1.5625 1.5625 1.5625 1.5 1.5625 1.5

gage 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

rt 4.12 4.1 2.95 4.07 2.96 4.05 2.96 2.94 4.43

d/Af 1.56 1.74 2.1 1.94 2.34 2.23 2.59 2.98 0.73

Ix

5-1/2

4.38

0.8

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

4.33 4.3 4.28 3.22 4.24 4.23

0.88 0.93 0.97 1.14 1.06 1.08

5-1/2

4.21

1.15

5-1/2 5-1/2

3.14 4.18

1.33 1.23

5-1/2

4.17

1.26

5-1/2 5-1/2 5-1/2

3.08 4.73 3.09

1.57 1.29 1.58

5-1/2

4.14

1.4

25600

5-1/2 5-1/2

4.13 4.7

1.42 1.41

25100 24200

5-1/2

4.11

1.53

5-1/2

3.02

1.85

5-1/2

4.13

1.59

23200 20500 21900

5-1/2 5-1/2

4.67 3.01

1.57 1.94

5-1/2

4.1

1.76

5-1/2 5-1/2 5-1/2

4.63 3.01 4.56

1.75 2.12 2.05

5-1/2

4.09

2.03

5-1/2

2.98

2.36

5-1/2

4.04

2.31

31100 27100 24600

24200 21400

20800 19200 16700 56500

50400 44300

41700 39500 36300 35400

34800 32000 29900 29600 28900 24700 26800 24500

21500

19400 19600 19200

17400 16600

16700 15500 14900

5-1/2

4.43

2.6

13500

5-1/2

2.98

2.71

13300

5-1/2

3.92

2.92

12200

5-1/2 5-1/2

2.91 2.84

3.19 3.9

11600 9800

31-1/8 30-7/8

5.6875

31-1/8 30-7/8

5.0625

31-1/8 30-7/8

4.375

31-1/8 30-7/8 30-7/8 30-7/8 30-7/8 30-7/8 30-7/8 30-7/8 32-1/8 30-7/8 32-1/8 30-7/8 32-1/8 32-1/8 32-1/8 32-1/8 32-1/8 32-1/8 32-1/8

3.8125

29-3/4 29-3/4 29-3/4 29-3/4 29-3/4 29-3/4 29-5/8 29-5/8 29-5/8 29-5/8 29-5/8 29-5/8 29-5/8 29-5/8 29-5/8 29-5/8 29-5/8 29-5/8

4.375 4.0625 3.8125 3.5 3.3125

26-3/4 26-3/4

5.24 4.49 3.86 3.39 3.15 2.96 2.8 2.63 2.52 2.39 2.48 2.3 2.32 2.21 2.11 2.01 1.93 1.85 1.77 1.69 1.54

2.25 2.375 2.0625 2.1875 1.875 2 1.75 1.875 1.8125 1.75 1.75 1.6875 1.625 1.625 1.3125 1.625 1.25 1.5625 1.25 1.1875 1.1875 1.1875 1.125 1.125 1.125

5-1/2

4.84

0.52

67400

5-1/2

4.8

0.54

62600

5-1/2

4.73

0.59

55300

5-1/2

4.67

0.65

48900

5-1/2

4.62

0.71

43500

5-1/2

4.57

0.78

38300

5-1/2

4.53

0.85

34700

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

4.49 4.45 4.42 4.39 4.39 4.37 4.34 3.14 4.32 3.11 4.3 3.09 3.07 3.05 3.04 3.02 2.99 2.93

0.92 1.02 1.11 1.21 1.31 1.4 1.52 1.77 1.62 1.95 1.73 2.21 2.39 2.55 2.73 2.94 3.18 3.77

31000 27500 24800 22500 20300 18900 17300 16800 16100 15000 15000 13200 12100 11300 10500 9760 9040 7800

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

4.51 4.46 4.42 4.37 4.33

0.64 0.69 0.75 0.82 0.9

41800 37700 33700 30100 26900

3.07 2.88 2.68 2.52 2.36 2.19 2.06 1.94 1.92 1.76 1.66 1.56 1.44

1.75 1.6875 1.625 1.5625 1.4375 1.375 1.375 1.3125 1.3125 1.25 1.25 1.1875 1.1875 1.1875 1.125 1.125 1.125 1.125

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

4.3 4.27 4.24 4.21 4.18 4.17 4.15 4.12 2.95 2.94 2.92 2.88 2.84

0.97 1.06 1.16 1.27 1.39 1.54 1.68 1.86 2.41 2.74 3.01 3.36 3.87

24300 22000 19500 17700 15900 14200 12900 11600 9290 8160 7450 6710 5900

4.3125 4

1.6875 1.625

5-1/2 5-1/2

4.34 4.29

0.62 0.67

33000 29300

26-3/4 26-3/4 26-1/2 26-3/4 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 26-1/2 23-5/8

3.75 3.4375

3.23 3.03 2.84 2.64 2.44 2.29 2.1 1.97 1.85 1.83 1.65 1.58 1.5 1.41 1.32 1.26 4.33

24 24 24 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8 23-5/8

4 3.6875 3.4375

21 21 21 20-3/4 20-3/4 20-3/4 20-3/4

4.3125 4.0625 3.75

3.27 3.07 2.88 2.72 2.56 2.4 2.29 2.13 1.98 1.87 1.76 1.7 1.53 1.43 1.34 1.24

3.22 2.98 2.78 2.59

1.5625 1.5 1.5 1.375 1.375 1.3125 1.3125 1.25 1.1875 1.1875 1.125 1.125 1.125 1.125 1.125 1.125 1.0625 1.0625 1.8125 1.5625 1.5 1.4375 1.5 1.4375 1.4375 1.375 1.3125 1 3125 1.25 1.1875 1.1875 1.1875 1.125 1.125 1.125 1.0625 1.0625 1.0625 1.5625 1.5 1.375 1.5625 1.5 1.4375 1.4375

5-1/2 5-1/2

4.24 4.2

0.73 0.8

26100 23200

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

4.16 4.12 4.09 4.06 4.02 4 3.99 3.97 3.94 2.7 2.68 2.66 2.64 2.61 2.57 2.56 4.1

0.87 0.95 1.03 1.13 1.26 1.39 1.56 1.72 1.91 2.48 2.87 3.09 3.36 3.75 4.23 4.65 0.6

20700 18700 16800 14900 13100 11700 10300 9200 8230 6680 5770 5360 4930 4470 3990 3610 25600

5-1/2 5-1/2 5-1/2

4.05 4.01 3.96

0.65 0.7 0.77

22900 20400 18100

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

3.93 3.89 3.86 3.84 3.81 3.78 3.76 3.74 3.72 3.7 3.68 2.59 2.58 2.56 2.53 2.49

0.84 0.9 0.98 1.06 1.15 1.25 1.34 1.49 1.66 1.82 2.01 2.51 2.91 3.26 3.62 4.19

16200 14600 13100 11900 10800 9700 8910 7860 7020 6310 5660 4760 4080 3620 3270 2850

5-1/2 5-1/2 5-1/2

3.8 3.76 3.71

0.59 0.64 0.69

19100 17100 15100

5-1/2 5-1/2 5-1/2 5-1/2

3.67 3.63 3.6 3.57

0.75 0.82 0.89 0.96

13400 11900 10700 9600

20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4 20-3/4

2.39 2.23 2.07 1.96 1.84 1.72 1.59 1.46 1.35 1.25 1.48 1.38 1.27 1.18 1.09 1.19 1.11

1.375 1.3125 1.25 1.25 1.1875 1.1875 1.125 1.125 1.125 1.0625 1.125 1.0625 1.0625 1.0625 1.0625 1.0625 1

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 3-1/2 3-1/2

3.53 3.51 3.48 3.46 3.44 3.45 3.43 3.4 3.37 3.35 2.33 2.33 2.31 2.29 2.26 1.71 1.68

1.06 1.15 1.26 1.35 1.46 1.58 1.76 1.98 2.23 2.52 2.78 3.06 3.47 3.91 4.52 5.72 6.66

8490 7650 6820 6260 5680 5170 4580 4020 3540 3100 3000 2700 2370 2100 1830 1560 1360

18-1/4 18-1/4 18-1/4 18-1/4 18-1/4 18-1/4 18-1/4 18 18 18 18 18 18 18 18 18-3/8 18-3/8 18-3/8 18-3/8 18-3/8 18-3/8

3.875 3.625 3.375 3.125 3 2.75 2.5625

1.4375 1.375 1.3125 1.25 1.1875 1.125 1.0625 1.3125 1.25 1.1875 1.1875 1.125 1.125 1.125 1.0625 0.9375 0.875 0.875 0.875 0.8125 0.8125

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

3.63 3.59 3.55 3.51 3.48 3.45 3.41

0.62 0.67 0.73 0.78 0.85 0.94 1.02

12200 10800 9610 8480 7620 6760 5950

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 3-1/2

3.38 3.36 3.34 3.34 3.31 3.3 3.28 3.27 2.17 2.15 2.13 2.12 2.1 1.64

1.12 1.23 1.33 1.53 1.7 1.82 1.99 2.17 2.76 3.07 3.46 3.73 4.14 4.94

5310 4730 4280 3630 3220 2960 2670 2420 2070 1830 1600 1480 1330 1170

18-3/8 18-3/8

1.02

5-1/2

2.09

4.85

1140

3-1/2

1.6

5.96

984 959

18-3/8 18-3/8 15-1/2 15-1/2 15-1/2

2.13 1.98 1.86 1.65 1.54 1.46 1.38 1.3 1.43 1.34 1.24 1.19 1.12 1.15 1.04 0.93

0.8125 0.8125

5-1/2

2.04

5.89

0.95

0.8125 0.8125

3-1/2

1.57

7.06

843

3.4375 3.1875 3

1.1875 1.1875 1.125

5-1/2 5-1/2 5-1/2

3.26 3.23 3.19

0.68 0.74 0.79

6960 6160 5510

15-1/2 15-1/2 15-1/2 15-1/8 15-1/8 15-1/8 15-1/8 15-1/8 15-1/8 15-1/8 15-1/8 15-1/8 15-1/2 15-1/2 15-1/2 15-1/2 15-1/2 15-1/2 15-1/2 15-1/2 13-1/4 13-1/4 13-1/4 13-1/4 13-5/8 13-5/8 13-5/8 13-5/8 13-5/8 13-5/8 13-5/8 10 10 10 10 10 10 10 10 10 10 10 10 10 10

2.75 2.5625 2.4375

1.99 1.84 1.72 1.6 1.46 1.34 1.27 1.17 1.08 1.21 1.15 1.1 1.03 0.972 1.01 0.927 0.827 1.69 1.58 1.47 1.37 1.12 1.03 0.967 0.907 0.832 0.842 0.747 5.72

5.51 5.12 4.76 4.42 4.1 3.81 3.63 3.44 3.26 3.07 2.86 2.67 2.49

1 1 0.9375 1.25 1.25 1.1875 1.1875 1.1875 1.125 1.125 1.0625 1.0625 0.875 0.875 0.8125 0.8125 0.8125 0.8125 0.8125 0.75 1.125 1.0625 1.0625 1 0.875 0.8125 0.8125 0.8125 0.75 0.75 0.75 3.0625 2.75 2.625 2.5 2.375 2.3125 2.25 2.125 2.125 2.0625 2 1.9375 1.875 1.8125

5-1/2 5-1/2 5-1/2

3.16 3.13 3.1

0.86 0.94 1.02

4900 4330 3870

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 3-1/2 3-1/2 3-1/2 3-1/2 3-1/2 3-1/2 3-1/2 3-1/2 5-1/2 5-1/2 5-1/2 5-1/2 3-1/2 3-1/2 3-1/2 3-1/2 3-1/2 2.75 2.75

3.07 3.05 3.03 3.01 3.02 3 2.99 2.97 2.95 1.98 1.97 1.96 1.95 1.94 1.54 1.52 1.49 2.81 2.79 2.77 2.75 1.86 1.84 1.83 1.82 1.79 1.39 1.36

1.11 1.21 1.32 1.44 1.59 1.78 1.92 2.15 2.43 2.99 3.22 3.47 3.82 4.21 4.93 5.67 6.94 1.65 1.85 2.11 2.4 3.23 3.65 4.06 4.53 5.28 6.53 8.27

3450 3060 2750 2460 2190 1910 1750 1530 1330 1170 1070 984 890 800 712 612 510 1500 1310 1120 970 758 659 586 518 448 375 301

(3) 7-1/2 (3)

5.15

0.24

16000

4.99 4.92 4.85 4.79 4.73 4.68 4.64 4.61 4.57 4.54 4.5 4.46 4.43

0.26 0.27 0.29 0.31 0.33 0.35 0.37 0.39 0.41 0.43 0.47 0.5 0.54

14300 12400 10800 9430 8210 7190 6600 6000 5440 4900 4330 3840 3400

(3) (3) (3) (3) (3) (3) (3) (3) (3) (3) (3) (3) (3)

7-1/2 7-1/2 7-1/2 7-1/2 7-1/2 7-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

(3) (3) (3) (3) (3) (3) (3) (3) (3) (3) (3) (3) (3)

10 10 10 10 10 10 10 10 10 10 10 10-7/8 10-7/8 10-7/8 10-7/8 10-7/8 10-7/8 10-7/8 11-5/8 11-5/8 11-5/8 11-5/8 11-5/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/8 9-1/4 9-1/4 9-1/4 9-1/4 9-1/4

2.32 2.16 2.04 1.91 1.79 1.69 1.63 1.54 1.46 1.38 1.31 1.45 1.38 1.31 1.24 1.25 1.19 1.12 0.915 0.855 0.785 0.82 0.735 3.55 3.3 3.07 2.85 2.67 2.5 2.33 2.16 2 1.85 1.7 1.59 1.5 1.41 1.33 1.27 1.2 1.24 1.17 1.14 1.08 1.02

1.75 1.6875 1.6875 1.625 1.5625 1.5625 1.5625 1.5 1.5 1.4375 1.4375 1.0625 1.0625 1.0625 1 1 1 1 0.8125 0.75 0.75 0.75 0.75 1.6875 1.625 1.625 1.5 1.5 1.4375 1.375 1.3125 1.25 1.25 1.1875 1.125 1.125 1.0625 1.0625 1.0625 1 0.9375 0.9375 0.9375 0.9375 0.875

(3) (3) (3) (3) (3) (3)

(2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2)

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 3-1/2 3-1/2 3-1/2 2-3/4 2-3/4 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

(3) (3) (3) (3) (3) (3)

(2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2) (2)

4.4 4.37 4.35 4.32 4.3 4.28 4.05 4.04 4.02 4 3.99 2.74 2.72 2.71 2.7 2.15 2.13 2.12 1.77 1.76 1.74 1.28 1.25 3.71 3.67 3.64 3.59 3.56 3.53 3.5 3.47 3.44 3.41 3.38 3.36 3.34 3.32 3.31 3.29 3.28 2.72 2.71 2.17 2.15 2.14

0.59 0.64 0.68 0.74 0.81 0.87 0.97 1.05 1.14 1.25 1.36 1.65 1.79 1.94 2.15 2.62 2.89 3.22 4.04 4.56 5.34 6.59 8.2 0.43 0.46 0.49 0.53 0.56 0.61 0.65 0.72 0.78 0.87 0.96 1.07 1.16 1.28 1.39 1.52 1.67 1.9 2.1 2.36 2.61 2.9

3010 2660 2400 2140 1900 1710 1530 1380 1240 1110 999 881 795 722 640 541 484 428 385 340 291 245 199 4060 3550 3110 2720 2420 2140 1890 1650 1430 1240 1070 933 833 740 662 597 533 475 425 391 348 307

10-1/8 10-1/8 10-1/8 10-3/8 10-3/8 10-3/8 10-3/8 7-1/2 7-1/2 7-1/2 7-1/2 7-1/2 7-1/2 7-1/2 7-1/2 7-1/2 7-1/2 7-1/2 8-1/4 8-1/4 8-1/4 8-3/8 8-3/8 8-3/8 8-3/8 5-3/4 5-3/4 5-3/4 5-3/4 5-3/4 5-3/4 6-1/8 6-1/8 6-1/2 6-1/2 6-1/2 6-1/2 6-1/2 4-1/2 4-1/2 4-1/2 4-1/2 4-1/2 4-1/2

0.82 0.74 0.68 0.725 0.65 0.565 0.525 1.75 1.62 1.49 1.37 1.27 1.18 1.12 1.06 1.12 1.03 0.935 0.81 0.74 0.66 0.695 0.63 0.57 0.51 1.33 1.2 1.08 0.954 0.889 0.829 0.859 0.794 0.7 0.63 0.615 0.555 0.505 0.754 0.664 0.655 0.559 0.53 0.465

0.75 0.75 0.75 0.625 0.5625 0.5625 0.5625 1 1 0.9375 0.875 0.875 0.8125 0.8125 0.8125 0.8125 0.8125 0.75 0.6875 0.6875 0.625 0.625 0.5625 0.5625 0.5625 0.9375 0.875 0.8125 0.8125 0.8125 0.75 0.625 0.5625 0.5625 0.5625 0.5625 0.5625 0.5 0.5625 0.5625 0.5625 0.5625 0.5625 0.5

3-1/2 3-1/2 3-1/2 2-1/4 2-1/4 2-1/4 2-1/4 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 2-3/4 2-3/4 2-3/4 2-1/4 2-1/4 2-1/4 2-1/4 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 3-1/2 3-1/2 2-3/4 2-3/4 2-1/4 2-1/4 2-1/4 3-1/2 3-1/2 2-1/4 3-1/2 2-1/4 2-1/4

1.74 1.73 1.72 1.02 1 0.96 0.95 2.88 2.85 2.83 2.8 2.79 2.77 2.75 2.74 2.18 2.16 2.14 1.55 1.54 1.51 1.03 1.01 0.99 0.96 2.28 2.26 2.23 2.21 2.2 2.18 1.77 1.76 1.41 1.39 1.03 1.01 0.99 1.66 1.64 1.08 1.61 1.05 1.03

3.66 4.3 4.95 7.19 8.67 11.3 13.3 0.87 0.96 1.07 1.2 1.33 1.49 1.64 1.78 2.03 2.34 2.81 3.53 4.07 4.91 6.45 7.64 9.25 11.9 1.16 1.31 1.53 1.83 2.05 2.3 2.65 3.05 3.93 4.7 6.41 7.83 9.77 2.31 2.82 3.85 3.85 5.38 6.96

285 238 204 156 130 103 88.6 716 623 534 455 394 341 303 272 248 209 171 170 144 118 96.3 81.9 68.9 53.8 272 228 184 146 127 110 98 82.7 75.3 61.9 48 39.6 30.8 53.6 41.5 32.1 29.3 22.1 16.4

4-1/2

0.444

0.5

2-1/4

1.038

7.63

14.8

3-1/2 3-1/2 2-5/8 20-1/2 20-1/2 20-1/2 20-1/2 20-1/2 16-3/4 16-3/4 16-3/4 16-3/4 15 15 12-1/4 12-1/4 9-1/8 9-1/8 9-5/8 9-5/8 7-3/4 7-3/4 6 6 5-1/8 5-1/8 4-3/8 4-3/8 3-3/8 3-1/2 2-1/2 2-1/2 1-3/4 1-3/4 12-3/4 10-7/8 10-7/8 11 8-7/8 8-7/8 9-1/8 6-7/8 7-1/8 5-1/4 5-3/8

0.73 0.66 0.595 2 2 1.75 1.75 1.75 1.75 1.75 1.625 1.625 1.5 1.5 1.375 1.375 1.4375 1.4375 1.1875 1.1875 1.125 1.125 1 1 0.9375 0.9375

0.8125 0.8125 0.8125

0.75 0.75 0.75 0.625 0.625 0.625

0.5625 0.5625 0.5 0.5625 0.5625 0.4375 0.5625 0.4375

0.375 0.3125

0.4375 0.4375 0.5 -------------------------------------------------------------------------------------

2-3/4 2-3/4 2-1/4 4 4 4 4 4 4 4 3-1/2 3-1/2 3-1/2 3-1/2 3-1/2 3-1/2 3 3 3 3 2.75 2.75 2-1/4 2-1/4

1.38 1.37 1.1 1.86 1.86 1.59 1.6 1.61 1.63 1.63 1.43 1.44 1.36 1.37 1.26 1.26 1.25 1.24 1.16 1.16 1.1 1.09 0.95 0.95

2.38 2.78 2.97 2.79 2.86 3.81 3.87 3.94 3.06 3.13 3.94 4.02 4.17 4.34 4.28 4.38 3.32 3.46 4.34 4.41 4.12 4.37 4.51 4.7

26.3 21.4 11.3 3160 2940 2380 2250 2100 1670 1570 1280 1190 923 801 485 446 303 270 228 217 147 123 64.7 57.5

2-1/4 2-1/4

0.88 0.87

4.63 4.88

42.4 36.7

2 ---

0.81 0.79

4.69 5.02

26.2 22

---

0.74

4.66

15.2

-----------

0.72 0.65 0.64 0.59 0.57

5.1 4.88 5.13 4.6 4.95

12.3 6.76 6.05 2.91 2.5

2-1/4

0.91

13

148

---------------------

0.68 0.69 0.74 0.61 0.61 0.6 0.53

17.4 18.6 20.5 18 20.3 21.5 18.6

72.2 66.7 61.7 39 34.6 33 18.5

0.555

19.82

17.6

0.44

19

7.23

0.496

22.95

5.97

3-3/8 2-3/4

0.8125

11-1/4 11-1/4 11-1/4 11-1/4

1.5 1.375 1.3125 1.1875

10-1/4 10-1/4 10-1/4 10-1/4

1.4375 1.375 1.25 1.125

9-1/2 9-1/2 9-1/2 9-1/2 7-1/2 7-1/2 5-3/4

1.375 1.3125 1.25 1.125 1.25 1.125 1.125

0.5

----1.0625 1 0.9375 0.875 1 0.9375 0.9375 0.875 1 0.9375 0.875 0.875 0.8125 0.75 0.625

2.75

1.29

2.4

24.1

2-1/4

1.035

6.25

4.72

5-1/2 5-1/2 5-1/2 5-1/2

4 3.97 3.94 3.9

1.19 1.34 1.53 1.85

1220 1050 904 729

5-1/2 5-1/2 5-1/2 5-1/2

3.54 3.51 3.47 3.43

1.3 1.49 1.74 2.11

886 755 630 503

5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2 5-1/2

3.29 3.26 3.23 3.2 2.74 2.69 2.18

1.46 1.63 1.91 2.25 1.73 2.29 2.21

650 569 472 393 294 210 119

sion 3.0 CD Database (2001) and AISC 9th Edition Manual (1989) Sx

rx

Iy

Sy

ry

Zx

Zy

1410 1240

17.8 17.8

1200 1050

151 132

3.5 3.49

1620 1420

236 206

1120

17.1

490

83

2.42

1310

135

1120

17.7

927

118

3.46

1270

183

983

17.2

435

74

2.44

1150

118

971

17.5

796

101

3.43

1100

157

889 776 2590

17.1 16.9 17.2

391 336 2860

66 57 339

2.44 2.41 3.86

1030 902 3060

105 90 541

2340

17

2520

302

3.8

2760

481

2090

16.9

2200

266

3.75

2450

422

1980

16.8

2050

250

3.72

2320

395

1890 1710 1710

16.8 16.3 16.6

1940 1010 1720

237 160 212

3.72 2.72 3.67

2180 2050 1980

374 262 334

1690 1560 1440 1460 1420 1210

16.6 16.6 16.1 16.5 16.5 15.9

1690 1540 803 1420 1380 644

208 191 130 177 173 106

3.65 3.64 2.64 3.6 3.6 2.57

1960 1800 1710 1680 1640 1430

328 300 212 278 270 172

1340 1200

16.7 16

1660 640

185 105

4.15 2.58

1510 1410

286 170

1280

16.4

1220

153

3.58

1460

239

1250 1220

16.3 16.6

1190 1490

150 167

3.56 4.12

1420 1370

234 257

1170 1020 1100

16.3 15.8 16.4

1090 521 1040

138 87.1 132

3.54 2.52 3.58

1330 1190 1250

215 140 204

1090

16.5

1320

149

4.09

1220

229

971 993

15.8 16.3

493 926

82.6 118

2.52 3.55

1130 1120

132 182

983

16.4

1170

132

4.04

1100

203

875

15.9

444

74.6

2.54

1010

118

858

16

988

112

3.9

967

172

859 786 770

16.2 15.8 16

796 390 695

101 66.1 88.2

3.54 2.51 3.45

964 906 869

156 105 137

708

15.5

770

87

3.69

807

135

683

15.7

336

56.9

2.5

783

89.6

639

15.5

541

68.8

3.26

715

107

600 513

15.3 15

283 229

47.9 38.8

2.4 2.29

693 598

76 62.2

3170

16.4

4550

501

4.27

3830

799

2980

16.3

4200

467

4.23

3580

743

2690

16.2

3680

414

4.18

3190

656

2420

16

3230

367

4.11

2860

580

2180

15.9

2850

328

4.07

2550

517

1950

15.7

2490

289

4.01

2280

454

1790

15.6

2250

263

3.98

2070

412

1620 1450 1320 1210 1110 1030 953 895 895 809 837 719 664 623 581 542 504 439

15.5 15.4 15.3 15.3 15.2 15.1 15 14.9 15 14.8 14.9 14.6 14.6 14.5 14.5 14.4 14.3 14

1990 1750 1570 1420 1300 1200 1090 528 1010 468 940 411 375 347 320 295 270 225

235 208 188 171 156 144 132 86.5 123 77.2 114 67.5 61.9 57.6 53.2 49.1 45.1 37.7

3.93 3.9 3.86 3.84 3.83 3.81 3.78 2.65 3.75 2.62 3.73 2.58 2.56 2.55 2.53 2.5 2.47 2.38

1870 1670 1510 1380 1260 1170 1080 1040 1010 936 943 833 767 718 668 624 581 509

367 325 292 265 241 223 204 137 190 122 176 107 97.7 90.7 83.8 77.3 70.9 59.7

2170 1990 1810 1630 1480

15.2 15.1 14.9 14.8 14.7

2870 2580 2290 2030 1800

340 308 276 247 221

3.98 3.94 3.89 3.85 3.81

2560 2330 2110 1890 1700

537 485 433 387 345

1350 1240 1110 1020 919 831 759 686 549 487 448 406 359

14.6 14.5 14.5 14.4 14.3 14.1 14.1 14 13.7 13.5 13.4 13.2 13

1620 1460 1290 1160 1040 933 840 749 310 273 246 218 187

200 181 161 146 131 118 106 95.2 53.9 47.2 42.7 37.9 32.6

3.77 3.74 3.71 3.68 3.66 3.62 3.59 3.56 2.5 2.47 2.43 2.39 2.32

1560 1420 1270 1160 1040 940 857 773 629 559 514 467 415

312 282 250 226 202 182 164 147 84.4 73.9 66.9 59.5 51.3

1870 1680

13.9 13.8

2530 2230

312 278

3.86 3.8

2210 1990

492 438

1530 1380

13.7 13.5

1970 1750

249 222

3.75 3.71

1790 1610

390 348

1250 1140 1040 930 829 748 665 600 541 436 380 355 329 299 269 245 1570

13.4 13.3 13.2 13.2 13.1 13 12.9 12.8 12.7 12.4 12.2 12.1 12 11.9 11.7 11.7 12.7

1550 1390 1240 1100 959 855 757 673 598 227 196 181 164 146 128 115 2110

198 179 162 144 127 114 100 89.5 79.8 43.3 37.2 34.4 31.3 27.9 24.5 22.1 277

3.67 3.64 3.6 3.58 3.53 3.51 3.49 3.46 3.42 2.28 2.25 2.23 2.19 2.15 2.1 2.09 3.65

1450 1320 1190 1060 943 847 751 675 607 500 437 408 378 346 312 283 1890

310 279 252 223 196 175 155 138 123 68 58.4 54 49.2 43.9 38.6 34.7 437

1440 1300 1170

12.6 12.5 12.3

1890 1670 1480

250 224 200

3.61 3.57 3.52

1710 1530 1380

394 351 313

1060 972 887 814 745 677 627 559 505 458 414 345 299 267 243 213

12.2 12.1 12 12 11.9 11.8 11.8 11.7 11.6 11.5 11.5 11.2 11 11 10.9 10.7

1310 1180 1050 953 859 769 704 619 555 497 443 184 159 139 124 106

179 162 146 133 120 108 99.8 88.1 78.8 70.9 63.5 36.8 31.5 27.8 24.8 21.2

3.48 3.45 3.41 3.39 3.36 3.33 3.32 3.29 3.25 3.23 3.2 2.21 2.18 2.15 2.12 2.07

1240 1130 1030 936 852 772 711 631 570 515 464 395 343 305 278 244

279 252 227 206 187 168 154 136 122 109 97.7 57.6 49.3 43.4 38.8 33.2

1290 1170 1060

11.5 11.4 11.3

1670 1490 1320

237 214 191

3.41 3.36 3.33

1550 1410 1250

375 337 300

957 864 789 718

11.1 11 10.9 10.8

1160 1030 919 823

170 152 137 124

3.27 3.23 3.2 3.17

1130 1020 922 835

267 238 214 193

644 588 531 491 450 414 371 329 291 258 245 222 196 176 154 132 115

10.7 10.7 10.6 10.5 10.5 10.4 10.3 10.2 10.1 10.1 9.96 9.87 9.79 9.69 9.55 9.24 9.13

724 651 578 530 479 443 391 340 297 259 119 109 94.4 82.5 70.4 34.5 29.1

110 99.4 88.8 81.8 74.3 68.4 60.5 53 46.5 40.7 26.5 24 20.9 18.4 15.7 9.8 8.3

3.14 3.11 3.08 3.07 3.04 3.05 3.01 2.97 2.94 2.91 1.99 1.98 1.95 1.92 1.87 1.37 1.34

744 675 606 559 511 468 418 370 327 289 280 254 224 200 177 154 135

171 154 137 126 115 105 93.2 81.5 71.4 62.4 41.5 37.5 32.6 28.6 24.5 15.8 13.4

937 846 769 692 632 569 510

10.2 10 9.91 9.81 9.71 9.63 9.54

1270 1120 994 873 785 694 609

189 168 151 134 122 109 96.1

3.27 3.23 3.19 3.15 3.12 3.09 3.05

1130 1010 915 816 741 663 589

296 263 237 210 189 169 149

461 417 380 329 295 273 249 227 192 171 151 140 127 111

9.47 9.4 9.36 9.17 9.12 9.09 9.05 9.02 8.7 8.67 8.64 8.6 8.54 8.36

542 483 435 376 333 305 274 248 92.9 81.4 70.6 64.7 57.5 30.6

86.1 77.2 70 60.1 53.5 49.2 44.5 40.3 22.1 19.5 17 15.7 14 9.35

3.02 3 2.99 2.95 2.93 2.92 2.9 2.89 1.84 1.83 1.81 1.8 1.77 1.35

530 476 432 373 333 307 279 253 221 196 172 160 144 129

133 119 108 92.6 82.3 75.6 68.2 61.7 34.7 30.5 26.6 24.4 21.7 14.8

110

8.4

48.4

11.8

1.73

126

18.4

94.5

8.18

24.9

7.64

1.3

110

12.2

93

8.24

38.7

9.52

1.66

107

14.9

81.6

8.06

20.7

6.37

1.26

95.4

10.2

624 564 514

8.72 8.61 8.53

795 704 628

132 118 107

2.95 2.91 2.88

753 676 611

207 185 166

466 419 380

8.44 8.35 8.28

558 493 440

95.8 85.3 76.8

2.85 2.82 2.79

549 490 442

149 132 119

344 310 282 256 231 204 188 166 146 127 117 108 98.3 88.9 78.8 68.4 57.6 177 157 136 119 92.2 81 72.7 64.7 56.5 47.2 38.4

8.2 8.12 8.09 8.03 7.9 7.84 7.82 7.77 7.73 7.5 7.49 7.47 7.41 7.38 7.25 7.21 7.04 7.1 7.05 7 6.97 6.72 6.68 6.65 6.63 6.51 6.41 6.26

391 347 311 278 253 220 201 175 152 60.3 54.8 50.1 44.9 40.1 22.5 19.1 15.3 186 163 138 119 43.1 37.2 32.8 28.9 24.5 12.4 9.59

68.8 61.4 55.5 49.9 44.9 39.4 36.1 31.6 27.6 15.8 14.4 13.3 11.9 10.7 7.43 6.35 5.12 35.7 31.4 26.9 23.2 12.1 10.5 9.34 8.25 7 4.49 3.49

2.76 2.74 2.72 2.7 2.69 2.66 2.65 2.63 2.61 1.7 1.69 1.68 1.67 1.65 1.29 1.27 1.22 2.5 2.48 2.46 2.44 1.6 1.59 1.57 1.57 1.52 1.17 1.12

398 356 322 290 262 230 211 186 163 146 133 123 112 101 90.7 78.4 66.5 200 177 152 132 105 92 82.3 73 64 54 44.2

106 94.8 85.4 76.7 69.1 60.5 55.3 48.4 42.2 24.7 22.5 20.6 18.5 16.6 11.7 9.95 8.06 55 48.2 41.2 35.6 18.9 16.3 14.5 12.7 10.8 7.03 5.48

1400

8.2

5510

594

4.82

1830

927

1280 1150 1040 931 838 756 706 656 607 558 506 459 415

8.17 7.98 7.8 7.63 7.48 7.33 7.26 7.16 7.07 6.98 6.88 6.79 6.71

4720 4170 3680 3250 2880 2560 2360 2170 1990 1810 1610 1440 1290

527 472 423 378 339 304 283 262 241 221 199 179 161

4.69 4.62 4.55 4.49 4.43 4.38 4.34 4.31 4.27 4.24 4.2 4.17 4.13

1660 1480 1320 1180 1050 936 869 801 736 672 603 542 487

816 730 652 583 522 468 434 402 370 338 304 274 246

375 338 310 281 254 232 209 190 173 157 143 123 112 103 92.1 77.8 70.2 62.6 54.6 48.6 42 35.3 29 483 435 393 353 321 292 263 235 209 186 163 145 131 118 107 97.4 87.9 78 70.6 64.2 57.7 51.5

6.63 6.55 6.5 6.43 6.38 6.33 6.28 6.24 6.22 6.17 6.14 6.05 6.04 6.01 5.98 5.89 5.85 5.82 5.87 5.83 5.73 5.65 5.54 6.41 6.29 6.16 6.06 5.97 5.89 5.82 5.74 5.66 5.58 5.51 5.47 5.44 5.38 5.34 5.31 5.28 5.28 5.23 5.18 5.15 5.13

1150 1030 931 838 748 677 548 495 447 402 362 148 134 121 107 57.7 51.4 45.2 26.7 23.3 19.6 8.91 7 1190 1050 937 828 742 664 589 517 454 398 345 301 270 241 216 195 174 107 95.8 56.3 50 44.1

145 130 119 107 96.2 87.3 74.5 67.5 61.2 55.2 49.9 29.3 26.6 24.2 21.5 14.3 12.8 11.3 7.88 6.91 5.82 3.55 2.8 177 159 143 127 115 104 93 82.3 72.8 64.2 56 49.3 44.4 39.7 35.8 32.4 29.1 21.4 19.2 13.9 12.4 11

4.1 4.07 4.05 4.02 4 3.98 3.76 3.74 3.73 3.71 3.7 2.48 2.48 2.46 2.45 1.92 1.91 1.89 1.55 1.53 1.49 1.08 1.04 3.47 3.42 3.38 3.34 3.31 3.28 3.25 3.22 3.19 3.16 3.13 3.11 3.09 3.07 3.05 3.04 3.02 2.51 2.48 1.96 1.95 1.94

436 390 355 320 287 260 234 212 192 173 157 139 126 115 102 87.1 78.4 69.6 61.5 54.6 47.3 40.2 33.2 603 537 481 428 386 348 311 275 243 214 186 164 147 132 119 108 96.8 86.4 77.9 71.9 64.2 57

221 198 180 163 146 133 113 102 92.7 83.6 75.6 44.8 40.5 36.9 32.8 22 19.6 17.3 12.1 10.6 8.99 5.54 4.39 274 244 220 196 177 159 143 126 111 98 85.4 75.1 67.5 60.4 54.3 49.2 44.1 32.5 29.1 21.3 19 16.8

45.6 38.6 33.4 25.4 21.3 17.1 14.9 126 112 98.5 85.9 75.7 66.7 60 54.6 49.1 42.1 35 32.4 27.9 23.2 18.8 16.2 13.8 10.9 60.4 52 43.2 35.5 31.2 27.5 24.3 20.9 18.2 15.2 11.8 9.91 7.81 16.8 13.4 10.2 9.77 7.31 5.56

5.25 5.21 5.17 4.91 4.82 4.67 4.62 4.66 4.6 4.54 4.49 4.44 4.39 4.37 4.35 4.32 4.27 4.19 4.38 4.35 4.27 4.14 4.05 3.95 3.9 3.72 3.65 3.61 3.53 3.51 3.47 3.45 3.42 3.49 3.43 3.29 3.21 3.22 2.7 2.66 2.6 2.56 2.49 2.47

24.5 20.3 17.3 4.66 3.76 2.82 2.36 236 207 179 154 134 116 103 93.4 53.4 45 36.6 16.7 14.1 11.4 4.29 3.56 2.89 2.18 88.6 75.1 60.9 49.1 42.6 37.1 21.7 18.3 9.77 7.97 3.41 2.73 2.09 17.1 13.3 4.43 9.32 2.99 2.2

7.47 6.24 5.34 2.31 1.88 1.41 1.19 45.3 40 34.8 30.1 26.4 23 20.6 18.7 13.3 11.3 9.2 5.75 4.89 3.97 2.14 1.78 1.45 1.1 21.4 18.3 15 12.2 10.6 9.27 6.63 5.63 3.71 3.04 1.7 1.37 1.06 5.61 4.41 2.2 3.11 1.5 1.11

1.54 1.52 1.51 0.848 0.822 0.773 0.753 2.68 2.65 2.63 2.6 2.59 2.57 2.56 2.54 2.01 1.98 1.94 1.37 1.36 1.33 0.874 0.845 0.81 0.785 2.12 2.1 2.08 2.04 2.03 2.02 1.62 1.61 1.26 1.23 0.876 0.843 0.841 1.52 1.5 0.967 1.45 0.918 0.905

51.2 43.1 37.2 29.3 24.7 20.1 17.4 147 130 113 97.6 85.3 74.6 66.6 60.4 54.9 46.8 38.8 36.6 31.3 26 21.6 18.7 16 12.6 70.1 59.8 49 39.8 34.7 30.4 27.2 23.1 20.4 17 13.6 11.4 8.87 19 15 11.7 10.8 8.3 6.23

11.5 9.56 8.17 3.66 2.98 2.26 1.9 69.2 61 53.1 45.9 40.1 35 31.3 28.3 20.3 17.2 14 8.84 7.5 6.1 3.35 2.8 2.3 1.74 32.7 27.9 22.9 18.5 16.1 14.1 10.1 8.57 5.69 4.66 2.67 2.15 1.66 8.57 6.72 3.39 4.75 2.32 1.72

5.08

2.43

1.98

1.01

0.889

5.71

1.55

10.2 8.55 5.46 258 240 199 187 175 165 155 128 119 103 89 64.7 59.4 50.6 45.1 38.1 36.2 29.4 24.6 16.2 14.4

2.17 2.13 1.72 9.43 9.71 9.01 9.21 9.47 7.71 7.89 7.62 7.83 6.7 7.07 5.75 5.95 4.55 4.76 4.72 4.83 3.78 4.07 3.09 3.26

9.13 7.51 3.86 83 76.8 47.4 44.7 42 49.9 46.6 29.5 27.5 24 20.7 15.6 14.3 15.6 13.5 9.84 9.33 8.3 6.73 4.27 3.69

3.63 3 1.9 20.6 19.5 13.1 12.5 12 13.9 13.2 9.25 8.78 7.69 6.91 5.53 5.19 5.69 5.13 3.88 3.73 3.36 2.89 2.05 1.84

1.28 1.26 1 1.53 1.57 1.27 1.3 1.34 1.33 1.36 1.16 1.19 1.08 1.14 1.03 1.06 1.03 1.06 0.98 1 0.899 0.95 0.795 0.827

11.6 9.63 6.28 306 279 239 222 204 198 183 152 139 124 104 77 69.2 60.9 52.7 44.6 41.8 35.4 28.3 19.2 16.5

5.53 4.58 2.92 36.3 33.4 24 22.4 20.8 24.9 23.1 16.7 15.4 14.3 12.1 9.99 9.08 10.3 8.86 6.8 6.44 6.19 4.99 3.67 3.18

12.1 10.5

2.69 2.86

3.17 2.64

1.64 1.44

0.734 0.766

14.5 12.1

2.96 2.44

8.74 7.34

2.28 2.45

2.29 1.8

1.28 1.08

0.673 0.702

10.5 8.45

2.35 1.86

6.09

1.87

1.67

1.01

0.62

7.42

1.88

4.9 3.38 3.03 1.94 1.67

2.05 1.56 1.64 1.15 1.23

1.19 0.887 0.748 0.578 0.447

0.795 0.635 0.562 0.461 0.383

0.638 0.564 0.576 0.513 0.518

5.66 4.04 3.5 2.35 1.94

1.37 1.13 0.97 0.821 0.656

21.1

5.38

2.64

1.32

0.719

24.9

2.2

12 11.1 10.3 7.79 6.95 6.6 4.63

4.56 4.58 4.57 3.83 3.82 3.85 3.11

1.09 1.01 1.03 0.672 0.593 0.562 0.376

0.709 0.661 0.636 0.5 0.441 0.418 0.329

0.559 0.564 0.592 0.503 0.5 0.503 0.443

14.3 13.2 12.2 9.22 8.2 7.77 5.43

1.15 1.07 1.02 0.809 0.711 0.67 0.529

4.39

3.1

0.352

0.308

0.439

5.15

0.495

2.41

2.36

0.18

0.195

0.372

2.8

0.311

2.01

2.34

0.173

0.173

0.398

2.33

0.273

9.63

2.08

7.86

3.14

1.19

11

5.02

2.48

1.64

1.47

0.771

0.915

2.74

1.18

172 150 131 107

5.96 5.92 5.88 5.84

443 380 326 261

59.5 51.4 44.3 35.8

3.59 3.56 3.53 3.49

194 169 146 118

91.4 78.8 67.7 54.6

135 117 98.8 80.3

5.49 5.45 5.4 5.36

294 250 207 165

44.5 38.1 31.9 25.5

3.16 3.13 3.1 3.07

153 131 110 89

68.6 58.5 48.8 39

106 93.8 79.1 66.7 58.8 43.4 29.8

5.14 5.11 5.06 5.03 4.18 4.13 3.36

213 186 153 127 101 71.7 40.3

34.6 30.4 25.3 21.1 19.7 14.2 9.88

2.94 2.92 2.88 2.86 2.45 2.41 1.95

120 105 88.3 74 66.5 48.3 33.6

53.2 46.6 38.7 32.2 30.3 21.8 15.2

J

Cw

Wno

Sw

Qf

Qw

74.4 51.5

536000 464000

168 166

1190 1040

279 248

805 704

60

219000

125

653

204

657

37.7

407000

165

922

222

630

40.7

192000

124

577

184

574

24.9

346000

164

789

191

546

30 20.1 596

172000 146000 1140000

124 123 169

517 443 2520

166 144 534

517 450 1530

445

996000

166

2240

478

1370

329

848000

163

1950

433

1230

279

791000

161

1830

403

1150

245 277 186

739000 393000 649000

160 125 158

1730 1160 1540

391 322 354

1090 1030 992

177 142 172 116 109 106

639000 578000 306000 528000 512000 241000

158 156 121 155 154 118

1510 1380 940 1270 1240 760

342 318 269 295 289 225

968 891 845 829 807 704

74.2 103

607000 239000

171 117

1330 757

287 225

755 696

79.4

449000

153

1100

259

719

79.4 56.3

446000 540000

152 170

1100 1190

264 261

730 684

61.2 64.7 51.5

397000 192000 378000

151 115 151

986 622 940

235 190 225

654 586 614

41.1

475000

168

1060

234

612

56.1 38.1

181000 334000

114 149

589 836

182 202

555 550

30.4

417000

167

934

208

550

41.3

161000

113

530

166

495

21.2

349000

166

785

176

483

24.8 30.4 18.3

284000 140000 246000

149 112 148

714 468 621

174 148 151

471 442 424

13.7

268000

165

608

137

404

20

120000

111

402

129

381

11.2

189000

147

481

119

364

14 9.36

99800 80000

111 110

336 270

107 86.7

336 288

1270

1620000

172

3530

674

1910

1050

1490000

169

3270

631

1790

804

1270000

166

2870

571

1590

591

1100000

162

2520

510

1420

453

950000

159

2240

465

1280

327

820000

156

1960

412

1130

260

727000

154

1770

380

1040

193 141 108 84.1 64.2 52.6 41.5 52.9 34.6 39.6 28.6 28 22.2 18.5 15.1 12.4 10.1 7

638000 554000 492000 441000 399000 366000 330000 168000 305000 148000 282000 128000 116000 107000 98400 90300 82300 68000

152 150 148 147 146 145 144 109 143 108 143 108 107 106 105 105 105 104

1570 1390 1240 1130 1020 944 858 576 799 512 740 446 407 378 349 321 294 245

341 306 278 254 231 216 197 174 184 157 171 136 126 118 109 101 93.1 77.9

931 829 751 684 622 579 532 516 498 464 465 412 379 355 330 308 287 251

567 444 338 256 193

870000 768000 672000 587000 514000

148 145 143 140 138

2210 1990 1770 1570 1400

463 425 385 348 315

1280 1170 1060 947 852

148 115 84.4 65.1 48.7 36.2 27.8 20.8 17.7 12.4 9.7 7.37 5.3

459000 409000 357000 318000 282000 251000 224000 198000 82400 71800 64300 56600 48200

136 135 133 132 130 130 129 128 93.7 93.8 93.3 92.8 92.2

1260 1130 1000 906 808 721 650 580 329 286 258 228 196

287 261 235 214 193 172 156 141 108 93.5 84.8 75.3 64.9

777 706 631 574 516 466 424 383 311 276 254 230 204

537 405

636000 550000

129 126

1850 1630

402 364

1110 993

307 231

480000 417000

124 122

1450 1280

329 297

896 805

173 134 103 75.2 54.1 40.3 28.4 21 15.6 14.5 9.72 7.99 6.43 4.99 3.77 2.84 496

366000 325000 286000 250000 215000 190000 166000 146000 129000 49400 42100 38700 34900 30800 26900 24000 443000

120 118 117 115 114 112 112 111 110 77.3 77.3 76.9 76.5 76.1 75.7 75.2 111

1140 1020 919 812 710 633 556 494 439 239 204 188 171 152 133 119 1490

267 244 221 199 176 159 140 125 112 85.5 72.8 67.5 61.5 54.8 48.2 43.8 341

721 654 592 528 468 420 372 334 300 247 216 202 187 170 154 139 942

391 297 225

386000 336000 291000

108 106 104

1340 1190 1050

313 283 255

856 766 688

170 131 101 79.5 61.6 47 37.6 27.1 20.1 15.1 11.3 11.1 7.33 5.28 4.03 2.81

255000 227000 199000 178000 159000 141000 128000 111000 98300 87300 77200 32400 27600 24000 21200 18000

102 101 99.4 98.2 97.1 96 95 93.9 93.7 92.9 92.2 66.4 66.4 65.7 65.4 64.9

930 836 750 680 613 548 503 442 393 352 314 183 155 137 122 103

230 210 191 175 160 145 134 119 106 95.6 86 68.6 58.2 51.8 46.3 39.6

619 562 509 465 423 383 352 312 282 254 229 195 170 151 137 120

456 357 271

283000 247000 214000

92.1 90.1 88.1

1150 1030 909

281 257 233

774 703 626

201 152 117 90.5

185000 161000 142000 125000

86.3 84.6 83.3 82

802 709 636 570

209 188 172 156

566 508 460 416

66.6 51.3 38.3 30.8 23.9 18.5 13.4 9.5 6.72 4.72 7.07 5.26 3.7 2.68 1.87 1.77 1.24

108000 96000 84200 76400 68400 62600 54700 47000 40700 35200 16500 15000 12800 11100 9430 4620 3870

80.6 79.6 78.5 77.7 77 77 76.3 75.6 74.9 74.3 53 53.1 52.6 52.2 51.9 40.7 40.4

502 451 401 367 333 304 268 233 204 178 117 105 91.3 79.8 68 42.3 35.7

140 128 115 106 97.2 88.8 78.9 69.1 60.9 53.5 48.8 43.8 38.4 33.8 28.9 22.6 19.2

371 337 302 278 254 233 208 184 162 143 139 126 111 99 87.1 75.4 65.9

297 225 174 130 101 75.2 54.9

165000 142000 124000 107000 94100 81800 70600

76.7 75 73.5 71.9 70.7 69.5 68.3

805 709 632 556 499 441 388

210 189 172 154 141 127 113

564 505 457 408 370 331 295

40.9 30.7 23.6 15.4 11.3 8.98 6.83 5.21 6.03 4.34 3.02 2.45 1.83 1.77

62100 54500 48500 41100 36000 32700 29200 26200 9940 8630 7420 6760 5970 3190

67.3 66.4 65.6 65.4 64.7 64.2 63.7 63.2 43.6 43 42.5 42.3 42 33.4

345 307 277 235 208 191 172 155 85.3 75 65.2 59.9 53.2 35.6

102 91.7 83.8 70.9 63.4 58.6 53.2 48.5 37.7 33.7 29.7 27.4 24.6 20.4

264 237 215 186 166 153 138 125 109 97 85.1 78.9 71.1 63.2

1.24

4980

41.7

44.7

20.8

61.8

1.14

2560

33.1

28.9

16.7

54

0.803

3940

41.1

36

16.9

52.4

0.77

2110

32.8

24

14

46.6

177 135 104

75700 65600 57400

58.8 57.5 56.4

483 427 382

141 127 116

376 338 306

79.7 59.3 45.2

49900 43200 37900

55.2 54.2 53.3

339 299 267

105 94.3 85.7

274 245 221

33.8 25.2 19.2 14.5 10.6 7.48 5.86 4.1 2.83 3.49 2.73 2.17 1.66 1.24 1.22 0.81 0.506 8.21 5.83 3.86 2.62 2.22 1.52 1.11 0.794 0.545 0.461 0.262

33300 29000 25700 22600 20300 17400 15800 13600 11700 4700 4240 3860 3430 3040 1710 1440 1140 11900 10300 8570 7300 2660 2270 1990 1740 1460 739 565

52.5 51.6 51 50.4 50.4 49.8 49.4 48.9 48.4 33.7 33.4 33.1 32.9 32.6 26.4 26.1 25.9 41.7 41.1 40.6 40.1 28 27.6 27.4 27.1 26.9 21.3 21.1

237 210 189 169 151 131 120 104 90.7 52.1 47.5 43.5 39 34.9 24.2 20.6 16.5 107 93.3 79.3 68.2 35.6 30.8 27.2 23.9 20.2 13 10

76.9 69 62.9 56.8 50.4 44.4 40.9 36 31.6 25.5 23.6 21.8 19.7 17.7 15 13 10.5 38.7 34.2 29.5 25.6 18.8 16.5 14.7 13.1 11.1 8.92 6.95

198 177 160 145 130 115 105 92.3 80.9 72.2 66.1 60.8 55.3 49.8 44.8 38.6 32.7 98.5 86.8 74.5 64.4 52.1 45.5 40.6 36 31.5 26.5 21.6

1840

433000

82.2

1950

336

916

1450 1120 869 669 514 395 331 273 222 178 136 104 79.1

362000 306000 258000 219000 187000 160000 144000 129000 116000 103000 88900 77500 67700

78.3 75.5 73 70.6 68.5 66.5 65.3 64.1 62.9 61.6 60.3 59.1 57.9

1720 1510 1320 1160 1020 899 827 756 689 623 553 493 438

319 287 258 232 209 188 176 163 150 138 124 113 101

830 739 659 587 523 467 433 400 367 335 301 270 242

59.5 44.6 34.8 26.5 19.7 15.2 12.3 9.37 7.12 5.37 4.06 5.07 3.87 3.01 2.19 1.94 1.45 1.05 0.798 0.569 0.38 0.358 0.208 243 185 143 108 83.8 64.7 48.8 35.6 25.8 18.5 12.9 9.13 6.85 5.1 3.84 2.93 2.18 2.1 1.58 1.71 1.26 0.906

59000 51600 45900 40500 35600 31700 25500 22700 20200 18000 16000 6700 6000 5370 4690 2540 2240 1950 1230 1070 887 405 314 57200 48700 41900 35800 31300 27200 23500 20100 17200 14700 12500 10700 9410 8280 7320 6540 5770 3570 3160 1880 1650 1440

56.9 55.9 55.1 54.4 53.7 53 50.2 49.7 49.1 48.7 48.3 34.1 33.7 33.4 33.1 26.7 26.5 26.2 23 22.8 22.6 16.9 16.8 46.4 45 44 42.8 41.8 41 40.1 39.2 38.4 37.7 37 36.4 35.9 35.5 35.2 34.9 34.5 28.9 28.7 23.3 23.1 22.9

389 345 312 279 248 224 190 171 154 138 125 73.8 66.6 60.4 53.3 35.5 31.6 27.8 20 17.5 14.7 8.94 7.02 459 403 357 313 279 249 220 192 168 146 126 110 98.2 87.2 78.1 70.3 62.7 46.3 41.2 30.2 26.7 23.6

91.3 81.8 74.9 67.5 60.8 55.3 49.4 44.8 40.7 36.7 33.3 27.7 25.3 23.1 20.5 16.8 15.1 13.4 11.3 9.94 8.37 6.76 5.36 119 107 95.9 85.9 78 70.6 63.7 56.5 50 44.1 38.5 34.2 30.9 27.6 24.8 22.5 20.2 17.8 15.9 14.2 12.7 11.3

217 194 176 159 142 129 116 105 94.9 85.6 77.3 68.4 61.8 56.4 50.1 42.6 38.3 33.9 30.3 26.8 23.2 19.7 16.1 301 268 240 213 192 173 155 137 120 106 92.3 81.1 72.8 65.2 58.7 53.1 47.6 42.4 38.1 35.4 31.5 27.9

0.741 0.457 0.3 0.293 0.18 0.103 0.0704 15.1 10.9 7.53 5.11 3.56 2.48 1.82 1.39 1.51 0.976 0.583 0.622 0.402 0.239 0.233 0.156 0.104 0.0547 5.05 3.33 1.96 1.12 0.769 0.536 0.537 0.346 0.282 0.172 0.137 0.0871 0.0426 0.47 0.246 0.223 0.105 0.0903 0.0405

879 719 606 165 131 96.9 80.6 6030 5150 4340 3640 3110 2640 2310 2070 1200 992 791 414 345 274 104 85.1 68.3 50.9 1440 1180 930 726 619 531 313 259 152 122 51.8 40.8 30.9 150 113 38.2 76.5 24.7 17.8

19.6 19.4 19.2 12 11.8 11.7 11.6 26.3 25.8 25.3 24.8 24.4 24 23.8 23.6 19 18.7 18.5 14.5 14.3 14.1 9.89 9.8 9.72 9.56 16.7 16.3 15.8 15.5 15.3 15.1 12.4 12.2 10.4 10.3 7.82 7.74 7.57 9.01 8.78 5.92 8.58 5.75 5.6

16.8 13.9 11.8 5.13 4.14 3.09 2.59 85.7 74.7 64.2 54.9 47.6 41.2 36.6 33 23.6 19.8 16 10.7 9.05 7.3 3.93 3.24 2.62 1.99 32.3 27.2 22 17.5 15.2 13.1 9.43 7.94 5.47 4.44 2.47 1.97 1.53 6.23 4.82 2.42 3.34 1.61 1.19

9.75 8.19 7.04 4.76 3.9 2.93 2.48 30.5 27 23.5 20.4 17.9 15.7 14.1 12.7 11.3 9.54 7.75 7 5.99 4.86 3.67 3.04 2.47 1.91 14.5 12.4 10.3 8.3 7.28 6.34 5.52 4.71 3.96 3.23 2.31 1.86 1.48 3.88 3.07 2.24 2.15 1.52 1.15

25.4 21.3 18.4 14.4 12.1 9.81 8.5 73.2 64.5 56 48.3 42.2 36.8 32.9 29.7 27 23 18.9 18.1 15.5 12.8 10.6 9.15 7.82 6.14 34.8 29.7 24.2 19.7 17.1 15 13.4 11.3 10.1 8.37 6.64 5.55 4.29 9.39 7.38 5.77 5.32 4.08 3.04

0.033

15.7

5.55

1.06

1.03

2.78

0.316 0.192 0.151 12.8 10.1 7.59 6.05 4.89 8.4 6.65 4.59 3.58 4.1 2.33 2.12 1.54 2.77 1.69 1.05 0.878 1.29 0.603 0.55 0.335

50.9 40.6 14 11400 10500 6340 5980 5620 4690 4380 2720 2540 1800 1550 806 739 502 434 323 306 188 152 61.3 52.9

5.94 5.81 3.87 47.1 46.1 41.9 41.2 40.5 34.9 34.2 30.7 30 27 26 20.3 19.8 15.5 14.9 14.5 14.3 11.8 11.1 7.9 7.58

3.21 2.62 1.36 103 98.8 66 63.8 61.6 57.8 55.5 38.9 37.3 29.2 26.9 17.8 16.9 14 12.9 10 9.74 7.13 6.34 3.5 3.22

2.42 1.99 1.24 46.2 46.2 32.7 32.7 32.7 28.5 28.5 21.9 21.9 16.6 16.6 11.4 11.4 8.95 8.95 7.24 7.24 5.08 5.08 3 3

5.73 4.74 3.09 153 139 119 110 101 98.3 91.1 75.6 69.1 61.9 51.8 38.2 34.3 30.3 26.2 22.2 20.8 17.6 14 9.53 8.17

0.45 0.24

34.6 28.8

6.38 6.05

2.41 2.17

2.29 2.29

7.26 6.12

0.371 0.167

18.2 14.3

5.03 4.7

1.61 1.41

1.57 1.57

5.23 4.18

0.32

9.12

3.84

1.03

1.11

3.72

0.114 0.12 0.0732 0.0896 0.0433

6.5 3.05 2.57 1.08 0.839

3.51 2.59 2.47 1.72 1.6

0.859 0.531 0.481 0.28 0.242

1.06 0.671 0.671 0.385 0.385

2.79 1.99 1.73 1.16 0.961

0.11

124

13.7

3.71

3.6

12.4

0.05 0.0393 0.0292 0.0314 0.0224 0.0187 0.0184

37.8 34.9 35.8 16.1 14.1 13.5 5.74

9.02 9.01 9.58 6.59 6.57 6.6 4.45

1.56 1.45 1.4 0.912 0.804 0.767 0.48

1.91 1.79 1.65 1.28 1.13 1.09 0.792

7.01 6.45 5.96 4.52 4.01 3.79 2.66

0.0156

5.39

4.46

0.45

0.745

2.52

0.0099

1.53

2.69

0.212

0.431

1.38

0.0053

1.45

2.9

0.187

0.355

1.14

0.34

41.3

5.73

2.98

2.28

5.53

0.0184

4.87

3.46

0.526

0.534

1.3

8.02 5.39 3.59 2.01

19900 16800 14200 11200

49.9 49.2 48.5 47.8

149 128 110 88

38 33 28.6 23.3

96.3 83.3 71.9 58.3

6.25 4.12 2.54 1.39

11287 9433 7703 6008

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

4.24 2.98 1.83 1.12 1.97 0.813 0.77

7160 6170 4990 4090 2240 1540 578

35.6 35.2 34.6 34.2 24.1 23.4 15.4

75 65.5 54.1 44.7 34.8 24.7 14

23.1 20.4 17.1 14.3 12.9 9.41 6.5

59 51.9 43.3 36.2 32.8 23.7 16.6

C and MC Section Prop Shape

A

d

tw

bf

tf

T

C15x50 C15x40 C15x33.9 C12x30 C12x25 C12x20.7 C10x30 C10x25 C10x20 C10x15.3 C9x20 C9x15 C9x13.4 C8x18.75 C8x13.75 C8x11.5 C7x14.75 C7x12.25 C7x9.8 C6x13 C6x10.5 C6x8.2 C5x9 C5x6.7 C4x7.25 C4x5.4

14.7 11.8 9.95 8.81 7.34 6.08 8.81 7.34 5.87 4.48 5.87 4.41 3.94 5.51 4.04 3.37 4.33 3.6 2.87 3.81 3.08 2.39 2.64 1.97 2.13 1.58

15 15 15 12 12 12 10 10 10 10 9 9 9 8 8 8 7 7 7 6 6 6 5 5 4 4

0.716 0.52 0.4 0.51 0.387 0.282 0.673 0.526 0.379 0.24 0.448 0.285 0.233 0.487 0.303 0.22 0.419 0.314 0.21 0.437 0.314 0.2 0.325 0.19 0.321 0.184

3.72 3.52 3.4 3.17 3.05 2.94 3.03 2.89 2.74 2.6 2.65 2.49 2.43 2.53 2.34 2.26 2.3 2.19 2.09 2.16 2.03 1.92 1.89 1.75 1.72 1.58

0.65 0.65 0.65 0.501 0.501 0.501 0.436 0.436 0.436 0.436 0.413 0.413 0.413 0.39 0.39 0.39 0.366 0.366 0.366 0.343 0.343 0.343 0.32 0.32 0.296 0.296

12-1/8 12-1/8 12-1/8 9-3/4 9-3/4 9-3/4 8 8 8 8 7 7 7 6-1/8 6-1/8 6-1/8 5-1/4 5-1/4 5-1/4 4-3/8 4-3/8 4-3/8 3-1/2 3-1/2 2-1/2 2-1/2

C4x4.5

1.38

4

0.125

1.58

0.296

2-1/2

C3x6 C3x5

1.76 1.47 1.2

3 3 3

0.356 0.258 0.17

1.6 1.5 1.41

0.273 0.273 0.273

1-5/8 1-5/8 1-5/8

1.09

3

0.132

1.37

0.273

1-5/8

17.1 15.3 13.5 12.6 14.7 11.8 10.3 9.35 14.7 13.2 11.8 10.3

18 18 18 18 13 13 13 13 12 12 12 12

0.7 0.6 0.5 0.45 0.787 0.56 0.447 0.375 0.835 0.712 0.59 0.467

4.2 4.1 4 3.95 4.41 4.18 4.07 4 4.14 4.01 3.89 3.77

0.625 0.625 0.625 0.625 0.61 0.61 0.61 0.61 0.7 0.7 0.7 0.7

15-1/8 15-1/8 15-1/8 15-1/8 10-1/8 10-1/8 10-1/8 10-1/8 9-3/8 9-3/8 9-3/8 9-3/8

C3x4.1 C3x3.5

MC18x58 MC18x51.9 MC18x45.8 MC18x42.7 MC13x50 MC13x40 MC13x35 MC13x31.8 MC12x50 MC12x45 MC12x40 MC12x35

MC12x31 MC12x10.6 MC10x41.1 MC10x33.6 MC10x28.5 MC10x25 MC10x22 MC10x8.4

9.12 3.1 12.1 9.87 8.37 7.35 6.45 2.46

12 12 10 10 10 10 10 10

0.37 0.19 0.796 0.575 0.425 0.38 0.29 0.17

3.67 1.5 4.32 4.1 3.95 3.41 3.32 1.5

0.7 0.309 0.575 0.575 0.575 0.575 0.575 0.28

9-3/8 10-1/2 7-3/8 7-3/8 7-3/8 7-3/8 7-3/8 8-1/2

MC10x6.5

1.91

10

0.152

1.127

0.202

9-1/8

MC9x25.4 MC9x23.9 MC8x22.8 MC8x21.4 MC8x20 MC8x18.7

7.47 7.02 6.7 6.28 5.88 5.5 2.5 6.67 5.61 5.29 4.79 4.49 4.44 3.53

9 9 8 8 8 8 8 7 7 6 6 6 6 6

0.45 0.4 0.427 0.375 0.4 0.353 0.179 0.503 0.352 0.379 0.375 0.34 0.316 0.31

3.5 3.45 3.5 3.45 3.03 2.98 1.87 3.6 3.45 3.5 3 3.5 2.94 2.5

0.55 0.55 0.525 0.525 0.5 0.5 0.311 0.5 0.5 0.475 0.475 0.385 0.475 0.375

6-1/2 6-1/2 5-5/8 5-5/8 5-3/4 5-3/4

MC8x8.5

MC7x22.7 MC7x19.1 MC6x18 MC6x16.3 MC6x15.3 MC6x15.1 MC6x12

6-3/8

4-3/4 4-3/4 3-7/8 3-7/8 4-1/4 3-7/8 4-1/4

C and MC Section Properties from AISC Version 3.0 CD Database (2001) and AISC 9th Edition Manual (1989) k

gage

x(bar)

eo

d/Af

Ix

Sx

1.4375 1.4375 1.4375 1.125 1.125 1.125 1 1 1 1 1 1 1 0.9375 0.9375 0.9375 0.875 0.875 0.875 0.8125 0.8125 0.8125 0.75 0.75 0.75 0.75

2-1/4 2 2 1-3/4 1-3/4 1-3/4 1-3/4 1-3/4 1-1/2 1-1/2 1-1/2 1-3/8 1-3/8 1-1/2 1-3/8 1-3/8 1-3/8 1-1/4 1-1/4 1-3/8 1-1/8 1-1/8 1-1/8 1 1 ---

0.799 0.778 0.788 0.674 0.674 0.698 0.649 0.617 0.606 0.634 0.583 0.586 0.601 0.565 0.554 0.572 0.532 0.525 0.541 0.514 0.5 0.512 0.478 0.484 0.459 0.457

0.583 0.767 0.896 0.618 0.746 0.87 0.368 0.494 0.636 0.796 0.515 0.681 0.742 0.431 0.604 0.697 0.441 0.538 0.647 0.38 0.486 0.599 0.427 0.552 0.386 0.501

6.21 6.56 6.79 7.55 7.85 8.13 7.55 7.94 8.36 8.81 8.22 8.76 8.95 8.12 8.75 9.08 8.31 8.71 9.14 8.1 8.59 9.1 8.29 8.93 7.84 8.52

404 348 315 162 144 129 103 91.1 78.9 67.3 60.9 51 47.8 43.9 36.1 32.5 27.2 24.2 21.2 17.3 15.1 13.1 8.89 7.48 4.58 3.85

53.8 46.5 42 27 24 21.5 20.7 18.2 15.8 13.5 13.5 11.3 10.6 11 9.02 8.14 7.78 6.92 6.07 5.78 5.04 4.35 3.56 2.99 2.29 1.92

0.75

---

0.493

0.587

8.55

3.65

1.83

0.6875 0.6875 0.6875

-------

0.455 0.439 0.437

0.322 0.392 0.461

6.87 7.32 7.78

2.07 1.85 1.65

1.38 1.23 1.1

0.6875

---

0.443

0.493

8.02

1.57

1.04

1.4375 1.4375 1.4375 1.4375 1.4375 1.4375 1.4375 1.4375 1.3125 1.3125 1.3125 1.3125

2-1/2 2-1/2 2-1/2 2-1/2 2-1/2 2-1/2 2-1/2 2-1/2 2-1/2 2-1/2 2-1/2 2-1/2

0.862 0.858 0.866 0.877 0.974 0.963 0.98 1 1.05 1.04 1.04 1.05

0.695 0.797 0.909 0.969 0.815 1.03 1.16 1.24 0.741 0.844 0.952 1.07

6.86 7.02 7.2 7.29 4.83 5.09 5.23 5.33 4.15 4.27 4.41 4.55

675 627 578 554 314 273 252 239 269 252 234 216

75 69.6 64.2 61.5 48.3 41.9 38.8 36.7 44.9 41.9 39 36.1

1.3125 0.75 1.3125 1.3125 1.3125 1.3125 1.3125 0.75

2-1/2 --2-1/2 2-1/2 2-1/2 2 2 ---

1.08 0.269 1.09 1.09 1.12 0.953 0.99 0.284

1.17 0.284 0.864 1.06 1.21 1.03 1.12 0.332

4.67 25.9 4.02 4.24 4.4 5.11 5.25 23.799

202 55.3 157 139 126 110 102 31.9

33.7 9.22 31.5 27.8 25.3 22 20.5 6.39

0.4375

---

0.18

0.167

43.799

22.1

4.42

1.25 1.25 1.1875 1.1875 1.125 1.125 0.8125 1.125 1.125 1.0625 1.0625 0.875 1.0625 0.875

2 2 2 2 2 2

0.97 0.981 1.01 1.02 0.84 0.849 0.428 1.04 1.08 1.12 0.927 1.05 0.94 0.704

0.986 1.04 1.04 1.09 0.843 0.889 0.542 1.01 1.15 1.17 0.93 1.16 0.982 0.725

4.68 4.74 4.35 4.42 5.29 5.37

87.9 84.9 63.8 61.5 54.4 52.4 23.3 47.4 43.1 29.7 26 25.3 24.9 18.7

19.5 18.9 15.9 15.4 13.6 13.1 5.82 13.5 12.3 9.89 8.66 8.44 8.3 6.24

2

2 2 2 1-3/4 2 1-3/4 1-1/2

13.7

3.89 4.06 3.6 4.21 4.45 4.29 6.41

h Edition Manual (1989) rx

Iy

Sy

ry

J

Cw

ro(bar)

5.24 5.45 5.62 4.29 4.43 4.61 3.42 3.52 3.66 3.87 3.22 3.4 3.49 2.82 2.99 3.11 2.51 2.6 2.72 2.13 2.22 2.34 1.83 1.95 1.47 1.56

11 9.17 8.07 5.12 4.45 3.86 3.93 3.34 2.8 2.27 2.41 1.91 1.75 1.97 1.52 1.31 1.37 1.16 0.957 1.05 0.86 0.687 0.624 0.47 0.425 0.312

3.77 3.34 3.09 2.05 1.87 1.72 1.65 1.47 1.31 1.15 1.17 1.01 0.954 1.01 0.848 0.775 0.772 0.696 0.617 0.638 0.561 0.488 0.444 0.372 0.337 0.277

0.865 0.883 0.901 0.762 0.779 0.797 0.668 0.675 0.69 0.711 0.64 0.659 0.666 0.598 0.613 0.623 0.561 0.568 0.578 0.524 0.529 0.536 0.486 0.489 0.447 0.444

2.65 1.45 1.01 0.861 0.538 0.369 1.22 0.687 0.368 0.209 0.427 0.208 0.168 0.434 0.186 0.13 0.267 0.161 0.0996 0.237 0.128 0.0736 0.109 0.0549 0.0817 0.0399

492 410 358 151 130 112 79.5 68.3 56.9 45.5 39.4 31 28.2 25.1 19.2 16.5 13.1 11.2 9.15 7.19 5.91 4.7 2.93 2.22 1.24 0.921

5.49 5.71 5.94 4.54 4.72 4.93 3.63 3.76 3.93 4.19 3.46 3.69 3.79 3.05 3.26 3.41 2.75 2.86 3.02 2.37 2.48 2.65 2.1 2.26 1.75 1.88

1.63

0.289

0.265

0.457

0.0322

0.871

2.01

1.08 1.12 1.17

0.3 0.241 0.191

0.263 0.228 0.196

0.413 0.405 0.398

0.0725 0.0425 0.0269

0.462 0.379 0.307

1.4 1.45 1.53

1.2

0.169

0.182

0.394

0.0226

0.276

1.57

6.29 6.41 6.55 6.64 4.62 4.82 4.95 5.05 4.28 4.36 4.46 4.59

17.6 16.3 14.9 14.3 16.4 13.7 12.3 11.4 17.4 15.8 14.2 12.6

5.28 5.02 4.77 4.64 4.77 4.24 3.97 3.79 5.64 5.31 4.98 4.65

1.02 1.03 1.05 1.07 1.06 1.08 1.09 1.1 1.09 1.09 1.1 1.11

2.81 2.03 1.45 1.23 2.96 1.55 1.13 0.937 3.23 2.34 1.69 1.24

1070 985 897 852 558 462 412 380 411 374 336 298

6.55 6.69 6.86 6.96 5.07 5.32 5.5 5.64 4.76 4.88 5 5.17

4.71 4.22 3.61 3.75 3.89 3.87 3.99 3.61

11.3 0.378 15.7 13.1 11.3 7.25 6.4 0.326

4.37 0.307 4.85 4.35 3.99 2.96 2.75 0.268

1.11 0.349 1.14 1.15 1.16 0.993 0.997 0.364

1 0.0596 2.26 1.2 0.791 0.638 0.51 0.0413

267 11.7 269 224 193 124 110 7

5.33 4.27 4.25 4.48 4.67 4.46 4.61 3.67

3.4

0.112

0.118

0.242

0.02

2.45

3.43

3.43 3.48 3.09 3.13 3.04 3.09 3.05 2.67 2.77 2.37 2.33 2.38 2.37 2.3

7.57 7.14 7.01 6.58 4.42 4.15 0.624 7.24 6.06 5.88 3.77 4.91 3.46 1.85

2.99 2.89 2.81 2.71 2.02 1.95 0.431 2.83 2.55 2.47 1.82 2.01 1.73 1.03

1.01 1.01 1.02 1.02 0.867 0.868 0.5 1.04 1.04 1.05 0.887 1.05 0.883 0.724

0.691 0.599 0.572 0.495 0.441 0.38 0.0587 0.625 0.407 0.379 0.336 0.223 0.285 0.155

104 98 75.2 70.8 47.8 45 8.21 58.3 49.3 34.6 22.1 30 20.5 11.3

4.08 4.15 3.84 3.91 3.58 3.65 3.24 3.52 3.71 3.46 3.11 3.41 3.18 2.8

WT, ST, and MT Section P H

0.937 0.927 0.92 0.919 0.909 0.899 0.921 0.912 0.9 0.884 0.899 0.882 0.875 0.894 0.874 0.862 0.875 0.862 0.845 0.858 0.842 0.824 0.815 0.79 0.767 0.742 0.71

0.69 0.673 0.655 0.646

0.944 0.939 0.933 0.93 0.875 0.859 0.849 0.842 0.859 0.851 0.841 0.832

Shape WT22x167.5 WT22x145 WT22x131 WT22x115 WT20x296.5 WT20x251.5 WT20x233 WT20x215.5 WT20x198.5 WT20x196 WT20x186 WT20x181 WT20x165.5 WT20x163.5 WT20x162 WT20x160.5 WT20x148.5 WT20x139 WT20x138.5 WT20x132 WT20x124.5 WT20x117.5 WT20x107.5 WT20x105.5 WT20x99.5 WT20x91.5 WT20x87 WT20x83.5 WT20x74.5 WT18x424 WT18x399 WT18x325 WT18x263.5 WT18x219.5 WT18x196.5

A 49.1 42.9 38.6 33.8 87.2 74 68.4 63.4 58.4 57.7 54.7 53.3 48.7 48 47.7 47 43.7 40.9 40.7 38.8 36.7 34.5 31.7 31 29.2 26.9 25.5 24.6 21.9 125 117 95.5 77.4 64.5 57.8

d 22 21.8 21.7 21.5 21.5 21 21.22 20.6 20.5 20.8 20.3 20.3 20.4 20.4 20.1 20.04 19.9 20.1 19.8 20 19.7 19.8 19.5 19.7 19.3 19.5 19.1 19.3 19.1 21.225 21 20.2 19.6 19.1 18.9

tw 1.02 0.87 0.79 0.71 1.79 1.54 1.67 1.34 1.22 1.42 1.16 1.12 1.22 1.18 1 1 0.93 1.02 0.83 0.96 0.75 0.83 0.65 0.75 0.65 0.65 0.65 0.65 0.63 2.52 2.38 1.97 1.61 1.36 1.22

bf 16 15.8 15.8 15.8 16.7 16.4 12.64 16.2 16.1 12.4 16.1 16 12.2 12.1 15.9 15.91 15.8 12 15.8 11.9 15.8 11.9 15.8 11.8 15.8 11.8 15.75 11.8 11.8 18.13 18 17.6 17.2 17 16.8

WT18x179.5 WT18x164 WT18x150 WT18x140 WT18x130 WT18x128 WT18x122.5 WT18x116

52.7 48.2 44.1 41.2 38.2 37.7 36 34.1

18.7 18.5 18.4 18.3 18.1 18.7 18 18.6

1.12 1.02 0.945 0.885 0.84 0.96 0.8 0.87

16.7 16.6 16.7 16.6 16.6 12.2 16.5 12.1

0.822 0.983 0.789 0.769 0.751 0.802 0.791 0.972

WT18x115 WT18x105 WT18x97 WT18x91 WT18x85 WT18x80 WT18x75 WT18x67.5

33.8 30.9 28.5 26.8 25 23.5 22.1 19.9

18 18.3 18.2 18.2 18.1 18 17.9 17.8

0.76 0.83 0.765 0.725 0.68 0.65 0.625 0.6

16.5 12.2 12.1 12.1 12 12 12 12

0.99

WT16.5x193.5

57

18

1.26

16.2

0.77 0.762 0.715 0.709 0.779 0.773 0.91 0.661 0.638 0.562 0.643 0.579 0.634 0.74

WT16.5x177 WT16.5x159 WT16.5x145.5 WT16.5x131.5 WT16.5x120.5 WT16.5x110.5 WT16.5x100.5 WT16.5x84.5 WT16.5x76 WT16.5x70.5 WT16.5x65 WT16.5x59

52.1 46.8 42.8 38.7 35.5 32.6 29.6 24.8 22.4 20.8 19.2 17.3

17.8 17.6 17.4 17.3 17.1 17 16.8 16.9 16.7 16.7 16.5 16.4

1.16 1.04 0.96 0.87 0.83 0.775 0.715 0.67 0.635 0.605 0.58 0.55

16.1 16 15.9 15.8 15.9 15.8 15.7 11.5 11.6 11.5 11.5 11.5

WT15x238.5 WT15x195.5 WT15x178.5 WT15x163 WT15x146 WT15x130.5

70 57.6 52.5 47.9 42.9 38.4

17.105 16.6 16.4 16.2 16 15.8

1.63 1.36 1.24 1.14 1.02 0.93

15.865 15.6 15.5 15.4 15.3 15.2

WT15x117.5 WT15x105.5 WT15x95.5 WT15x86.5 WT15x74 WT15x66 WT15x62 WT15x58 WT15x54 WT15x49.5

34.6 31.1 28.1 25.5 21.7 19.4 18.2 17.1 15.9 14.5

15.7 15.5 15.3 15.2 15.3 15.2 15.1 15 14.9 14.8

0.83 0.775 0.71 0.655 0.65 0.615 0.585 0.565 0.545 0.52

15.1 15.1 15 15 10.5 10.5 10.5 10.5 10.5 10.5

WT15x45 WT13.5x269.5 WT13.5x224 WT13.5x184 WT13.5x168 WT13.5x153.5 WT13.5x140.5 WT13.5x129

13.2 79.3 65.5 54.2 49.5 45.2 41.4 38

14.8 16.3 15.71 15.2 15 14.8 14.6 14.5

0.47 1.97 1.65 1.38 1.26 1.16 1.06 0.98

10.4 15.3 14.94 14.7 14.6 14.4 14.4 14.3

WT13.5x117.5

34.7

14.3

0.91

14.2

WT13.5x108.5 WT13.5x97 WT13.5x89 WT13.5x80.5 WT13.5x73 WT13.5x64.5 WT13.5x57 WT13.5x51 WT13.5x47 WT13.5x42

32 28.6 26.2 23.8 21.6 18.9 16.8 15 13.8 12.4

14.2 14.1 13.9 13.8 13.7 13.8 13.6 13.5 13.5 13.4

0.83 0.75 0.725 0.66 0.605 0.61 0.57 0.515 0.49 0.46

14.1 14 14.1 14 14 10 10.1 10 9.99 9.96

WT12X185 WT12x246 WT12x204 WT12x167.5 WT12X153 WT12x139.5 WT12x125 WT12x114.5 WT12x103.5 WT12x96

54.4 72 59.5 49.2 44.9 41 36.8 33.6 30.4 28.1

14 14.825 14.27 13.8 13.6 13.4 13.2 13 12.9 12.7

1.52 1.97 1.65 1.38 1.26 1.16 1.04 0.96 0.87 0.81

13.7 14.115 13.8 13.5 13.4 13.3 13.2 13.1 13 13

WT12x88 WT12x81 WT12x73 WT12x65.5 WT12x58.5 WT12x52 WT12x51.5 WT12x47 WT12x42 WT12x38 WT12x34 WT12x31 WT12x27.5

25.8 23.9 21.5 19.3 17.2 15.3 15.1 13.8 12.4 11.2 10 9.16 8.15

12.6 12.5 12.4 12.2 12.1 12 12.3 12.2 12.1 12 11.9 11.9 11.8

0.75 0.705 0.65 0.605 0.55 0.5 0.55 0.515 0.47 0.44 0.415 0.43 0.395

12.9 13 12.9 12.9 12.8 12.8 9 9.07 9.02 8.99 8.97 7.04 7.01

WT10.5x100.5 WT10.5x91

29.6 26.8

11.5 11.4

0.91 0.83

12.6 12.5

WT10.5x83 WT10.5x73.5 WT10.5x66 WT10.5x61 WT10.5x55.5 WT10.5x50.5 WT10.5x46.5 WT10.5x41.5 WT10.5x36.5

24.4 21.6 19.4 17.9 16.3 14.9 13.7 12.2 10.7

11.2 11 10.9 10.8 10.8 10.7 10.8 10.7 10.6

0.75 0.72 0.65 0.6 0.55 0.5 0.58 0.515 0.455

12.4 12.5 12.4 12.4 12.3 12.3 8.42 8.36 8.3

WT10.5x34 WT10.5x31 WT10.5x28.5

10 9.13 8.37

10.6 10.5 10.5

0.43 0.4 0.405

8.27 8.24 6.56

WT10.5x27.5

8.1

10.4

0.375

8.22

WT10.5x25

7.36

10.4

0.38

6.53

WT10.5x24

7.07

10.3

0.35

8.14

WT10.5x22

6.49

10.3

0.35

6.5

WT9x155.5 WT9x141.5 WT9x129 WT9x117 WT9x105.5 WT9x96 WT9x87.5 WT9x79

45.8 41.6 38 34.4 31.1 28.2 25.7 23.2

11.16 10.925 10.73 10.53 10.335 10.175 10 9.86

1.52 1.4 1.28 1.16 1.06 0.96 0.89 0.81

12.005 11.89 11.77 11.65 11.555 11.455 11.4 11.3

WT9x71.5 WT9x65 WT9x59.5 WT9x53 WT9x48.5 WT9x43 WT9x38 WT9x35.5 WT9x32.5 WT9x30 WT9x27.5 WT9x25 WT9x23 WT9x20 WT9x17.5 WT8x50 WT8x44.5 WT8x38.5 WT8x33.5 WT8x28.5 WT8x25 WT8x22.5 WT8x20 WT8x18 WT8x15.5 WT8x13

21 19.1 17.5 15.6 14.3 12.7 11.2 10.4 9.55 8.82 8.1 7.33 6.77 5.88 5.15 14.9 13.2 11.5 9.98 8.39 7.37 6.63 5.89 5.29 4.56 3.84

9.74 9.63 9.48 9.37 9.3 9.2 9.11 9.23 9.18 9.12 9.06 8.99 9.03 8.95 8.85 8.48 8.38 8.26 8.16 8.22 8.13 8.07 8.01 7.93 7.94 7.85

0.73 0.67 0.655 0.59 0.535 0.48 0.425 0.495 0.45 0.415 0.39 0.355 0.36 0.315 0.3 0.585 0.525 0.455 0.395 0.43 0.38 0.345 0.305 0.295 0.275 0.25

11.2 11.2 11.3 11.2 11.1 11.1 11 7.64 7.59 7.56 7.53 7.5 6.06 6.02 6 10.4 10.4 10.3 10.2 7.12 7.07 7.04 7 6.99 5.53 5.5

WT7x404

119

11.4

3.74

18.6

WT7x365 WT7x332.5 WT7x302.5

107 97.8 88.9

11.2 10.8 10.5

3.07 2.83 2.6

17.9 17.7 17.4

WT7x275 WT7x250 WT7x227.5 WT7x213 WT7x199 WT7x185 WT7x171 WT7x155.5 WT7x141.5 WT7x128.5 WT7x116.5 WT7x105.5 WT7x96.5 WT7x88 WT7x79.5 WT7x72.5 WT7x66 WT7x60 WT7x54.5 WT7x49.5 WT7x45 WT7x41 WT7x37 WT7x34 WT7x30.5 WT7x26.5 WT7x24 WT7x21.5 WT7x19 WT7x17 WT7x15 WT7x13 WT7x11 WT6x168 WT6x152.5 WT6x139.5 WT6x126 WT6x115 WT6x105 WT6x95 WT6x85 WT6x76 WT6x68 WT6x60 WT6x53

80.9 73.5 66.9 62.6 58.5 54.4 50.3 45.7 41.6 37.8 34.2 31 28.4 25.9 23.4 21.3 19.4 17.7 16 14.6 13.2 12 10.9 9.99 8.96 7.8 7.07 6.31 5.58 5 4.42 3.85 3.25 49.4 44.8 41 37 33.9 30.9 27.9 25 22.4 20 17.6 15.6

10.1 9.8 9.51 9.34 9.15 8.96 8.77 8.56 8.37 8.19 8.02 7.86 7.74 7.61 7.49 7.39 7.33 7.24 7.16 7.08 7.01 7.16 7.09 7.02 6.95 6.96 6.9 6.83 7.05 6.99 6.92 6.96 6.87 8.41 8.16 7.93 7.71 7.53 7.36 7.19 7.02 6.86 6.71 6.56 6.45

2.38 2.19 2.02 1.88 1.77 1.66 1.54 1.41 1.29 1.18 1.07 0.98 0.89 0.83 0.745 0.68 0.645 0.59 0.525 0.485 0.44 0.51 0.45 0.415 0.375 0.37 0.34 0.305 0.31 0.285 0.27 0.255 0.23 1.78 1.63 1.53 1.4 1.29 1.18 1.06 0.96 0.87 0.79 0.71 0.61

17.2 17 16.8 16.7 16.6 16.5 16.4 16.2 16.1 16 15.9 15.8 15.7 15.7 15.6 15.5 14.7 14.7 14.6 14.6 14.5 10.1 10.1 10 9.99 8.06 8.03 8 6.77 6.75 6.73 5.03 5 13.4 13.2 13.1 13 12.9 12.8 12.7 12.6 12.5 12.4 12.3 12.2

WT6x48 WT6x43.5 WT6x39.5 WT6x36 WT6x32.5 WT6x29 WT6x26.5 WT6x25 WT6x22.5 WT6x20 WT6x17.5 WT6x15 WT6x13 WT6x11 WT6x9.5 WT6x8 WT6x7 WT5x56 WT5x50 WT5x44 WT5x38.5 WT5x34 WT5x30 WT5x27 WT5x24.5 WT5x22.5 WT5x19.5 WT5x16.5 WT5x15 WT5x13 WT5x11 WT5x9.5 WT5x8.5 WT5x7.5 WT5x6 WT4x33.5 WT4x29 WT4x24 WT4x20 WT4x17.5 WT4x15.5 WT4x14 WT4x12 WT4x10.5 WT4x9

14.1 12.8 11.6 10.6 9.54 8.52 7.78 7.3 6.56 5.84 5.17 4.4 3.82 3.24 2.79 2.36 2.08 16.5 14.7 12.9 11.3 9.99 8.82 7.91 7.21 6.63 5.73 4.85 4.42 3.81 3.24 2.81 2.5 2.21 1.77 9.84 8.54 7.05 5.87 5.14 4.56 4.12 3.54 3.08 2.63

6.36 6.27 6.19 6.13 6.06 6.1 6.03 6.1 6.03 5.97 6.25 6.17 6.11 6.16 6.08 6 5.96 5.68 5.55 5.42 5.3 5.2 5.11 5.05 4.99 5.05 4.96 4.87 5.24 5.17 5.09 5.12 5.05 5 4.93 4.5 4.38 4.25 4.13 4.06 4 4.03 3.97 4.14 4.07

0.55 0.515 0.47 0.43 0.39 0.36 0.345 0.37 0.335 0.295 0.3 0.26 0.23 0.26 0.235 0.22 0.2 0.755 0.68 0.605 0.53 0.47 0.42 0.37 0.34 0.35 0.315 0.29 0.3 0.26 0.24 0.25 0.24 0.23 0.19 0.57 0.51 0.4 0.36 0.31 0.285 0.285 0.245 0.25 0.23

12.2 12.1 12.1 12 12 10 9.99 8.08 8.05 8.01 6.56 6.52 6.49 4.03 4.01 3.99 3.97 10.4 10.3 10.3 10.2 10.1 10.1 10 10 8.02 7.99 7.96 5.81 5.77 5.75 4.02 4.01 4 3.96 8.28 8.22 8.11 8.07 8.02 8 6.54 6.5 5.27 5.25

WT4x7.5 WT4x6.5 WT4x5 WT3x12.5 WT3x10 WT3x8 WT3x7.5 WT3x6 WT3x4.5

2.22 1.92 1.48 3.68 2.95 2.37 2.22 1.78 1.34

4.05 4 3.95 3.19 3.1 3.14 3 3.02 2.95

0.245 0.23 0.17 0.32 0.26 0.26 0.23 0.23 0.17

4.01 4 3.94 6.08 6.02 4.03 5.99 4 3.94

WT3x4.25

1.25

2.92

0.17

3.94

WT2.5x9.5 WT2.5x8 WT2x6.5 ST12x60.5 ST12x53 ST12x50 ST12x45 ST12x40 ST10x48 ST10x43 ST10x37.5 ST10x33 ST9x35 ST9x27.35 ST7.5x25 ST7.5x21.45 ST6x25 ST6x20.4 ST6x17.5 ST6x15.9 ST5x17.5 ST5x12.7 ST4x11.5 ST4x9.2 ST3x8.63 ST3x6.25

2.78 2.35 1.91 17.8 15.6 14.7 13.2 11.7 14.1 12.7 11 9.69 10.3 8.02 7.34 6.3 7.32 5.96 5.12 4.65 5.14 3.73 3.38 2.7 2.53 1.83

2.58 2.51 2.08 12.3 12.3 12 12 12 10.2 10.2 10 10 9 9 7.5 7.5 6 6 6 6 5 5 4 4 3 3

0.27 0.24 0.28 0.8 0.62 0.745 0.625 0.5 0.8 0.66 0.635 0.505 0.711 0.461 0.55 0.411 0.687 0.462 0.428 0.35 0.594 0.311 0.441 0.271 0.465 0.232

5.03 5 4.06 8.05 7.87 7.25 7.13 7 7.2 7.06 6.39 6.26 6.25 6 5.64 5.5 5.48 5.25 5.08 5 4.94 4.66 4.17 4 3.57 3.33

ST3.5x10 ST3.5x7.65 ST2.5x7.375

2.94 2.25 2.17

3.5 3.5 2.5

0.45 0.252 0.494

3.86 3.662 3.284

ST2.5x5 ST2x4.75 ST2x3.85 ST1.5x3.75 ST1.5x2.85

1.47 1.39 1.13 1.1 0.83

2.5 2 2 1.5 1.5

0.214 0.326 0.193 0.349 0.17

3 2.8 2.66 2.51 2.33

MT7x9

2.55

7

0.215

4

MT6x5.9

1.72

6

0.177

3.07

MT6x5.4 MT6x5

1.58 1.46

5.99 5.99

0.16 0.149

3.07 3.25

MT5x4.5

1.32

5

0.157

2.69

MT5x4 MT5x3.75

1.17 1.1

4.97 5

0.141 0.13

2.69 2.69

MT4x3.25

0.953

4

0.135

2.28

MT4x3.1 MT3x10

0.904 2.94

4 3

0.129 0.25

2.28 5.938

MT3x2.2

0.643

3

0.114

1.84

MT3x1.85

0.54

2.96

0.098

2

MT2.5x9.45

2.78

2.5

0.316

5

MT2x6.5 MT2x3

1.9 0.855

2 1.9

0.254 0.13

3.94 3.8

T, ST, and MT Section Properties from AISC Version 3.0 CD Database (2001) and AISC 9th Edition Manual (1989) tf 1.77 1.58 1.42 1.22 3.23 2.76 2.95 2.36 2.2 2.52 2.05 2.01 2.13 2.13 1.81 1.77 1.65 1.81 1.58 1.73 1.42 1.58 1.22 1.42 1.07 1.22 0.83 1.02 0.83 4.53 4.29 3.54 2.91 2.44 2.2

2.01 1.85 1.68 1.57 1.44 1.73 1.35 1.57

k 2.56 2.37 2.21 2.01 4.41 3.94 4.125 3.54 3.38 3.7 3.23 3.19 3.31 3.31 2.99 2.9375 2.83 2.99 2.76 2.91 2.6 2.76 2.4 2.6 2.25 2.4 2 2.21 2.01 5.6875 5.24 4.49 3.86 3.39 3.15 2.96 2.8 2.63 2.52 2.39 2.48 2.3 2.32

Ix 2160 1840 1650 1440 3310 2730 2770 2290 2070 2270 1930 1870 1880 1840 1650 1630 1500 1540 1360 1450 1210 1260 1030 1120 988 958 907 899 815 4250 3930 3030 2340 1890 1660

Sx 131 111 100 88.6 209 175 185 148 134 153 126 122 128 125 108 107 98.9 106 88.6 99.2 79.4 85.7 68 76.7 66.5 65.8 63.8 63.7 59.7 277 257 203 159 130 115

rx 6.63 6.55 6.53 6.53 6.16 6.07 6.36 6.01 5.96 6.28 5.95 5.92 6.21 6.19 5.88 5.89 5.87 6.14 5.78 6.11 5.75 6.04 5.71 6.01 5.81 5.97 5.96 6.05 6.1 5.84 5.79 5.64 5.5 5.41 5.37

y 5.51 5.27 5.2 5.17 5.66 5.39 6.22 5.18 5.03 5.95 4.97 4.91 5.74 5.66 4.77 4.79 4.71 5.5 4.5 5.41 4.41 5.17 4.28 5.08 4.47 4.93 4.87 5.19 5.45 5.86 5.71 5.26 4.87 4.6 4.44

Iy 600 523 463 398 1260 1020 504 843 771 401 710 691 322 320 609 596 546 260 522 246 463 222 398 195 347 168 271 141 114 2270 2100 1610 1240 996 877

1500 1350 1230 1140 1060 1210 995 1080

104 94.1 86.1 80 75.1 87.4 71 78.5

5.33 5.29 5.27 5.25 5.26 5.66 5.26 5.63

4.33 4.21 4.13 4.07 4.05 4.92 4.03 4.82

786 711 648 599 545 264 507 234

1.26 1.36 1.26 1.18 1.1 1.02 0.94 0.79 2.28

2.09 1.89 1.73 1.57 1.4 1.27 1.15 1.22 1.06 0.96 0.855 0.74 2.95 2.44 2.24 2.05 1.85 1.65

1.5 1.32 1.19 1.07 1.18 1 0.93 0.85 0.76 0.67 0.61 3.54 2.99 2.48 2.28 2.09 1.93 1.77

2.21 2.11 2.01 1.93 1.85 1.77 1.69 1.54 3.07 2.88 2.68 2.52 2.36 2.19 2.06 1.94 1.92 1.76 1.66 1.56 1.44 3.75 3.23 3.03 2.84 2.64 2.44 2.29 2.1 1.97 1.85 1.83 1.65 1.58 1.5 1.41 1.32 1.26 4.33 3.6875 3.27 3.07 2.88 2.72 2.56

934 985 901 845 786 740 698 637

67 73.1 67 63.1 58.9 55.8 53.1 49.7

5.25 5.65 5.62 5.62 5.61 5.61 5.62 5.66

4.01 4.87 4.8 4.77 4.73 4.74 4.78 4.96

470 206 187 174 160 147 135 113

1460

107

5.07

4.27

810

1320 1160 1060 943 872 799 725 649 592 552 513 469

96.8 85.8 78.3 70.2 65.8 60.8 55.5 51.1 47.4 44.7 42.1 39.2

5.03 4.99 4.96 4.93 4.96 4.95 4.95 5.12 5.14 5.15 5.18 5.2

4.15 4.02 3.93 3.83 3.84 3.81 3.77 4.21 4.26 4.29 4.36 4.47

729 645 581 517 466 420 375 155 136 123 109 93.5

1550 1220 1090 981 861 765

121 96.9 87.2 78.8 69.6 62.4

4.7 4.61 4.56 4.52 4.48 4.46

4.3 4 3.87 3.76 3.62 3.54

987 774 693 622 549 480

674 610 549 497 466 421 396 373 349 322

55.1 50.5 45.7 41.7 40.6 37.4 35.3 33.7 32 30

4.41 4.43 4.42 4.42 4.63 4.66 4.66 4.67 4.69 4.71

3.41 3.39 3.34 3.31 3.84 3.9 3.9 3.94 4.01 4.09

427 378 336 299 114 98 90.4 82.1 73 63.9

290 1530 1190 939 839 753 677 613

27.1 128 102 81.7 73.4 66.4 59.9 54.7

4.69 4.39 4.27 4.16 4.12 4.08 4.04 4.02

4.04 4.34 4.02 3.71 3.58 3.47 3.35 3.27

57.3 1060 836 655 587 527 477 430

1.61

1.5 1.34 1.19 1.08 0.975 1.1 0.93 0.83 0.745 0.64 2.72 3.54 2.99 2.48 2.28 2.09 1.89 1.73 1.57 1.46

1.34 1.22 1.09 0.96 0.85 0.75 0.98 0.875 0.77 0.68 0.585 0.59 0.505 1.63 1.48

1.36 1.15 1.03 0.96 0.875 0.8 0.93 0.835 0.74

2.4 2.29 2.13 1.98 1.87 1.76 1.7 1.53 1.43 1.34 1.24 3.22 4.3125 3.75 2.98 2.78 2.59 2.39 2.23 2.07 1.96 1.84 1.72 1.59 1.46 1.35 1.25 1.48 1.38 1.27 1.18 1.09 1.19 1.11 2.13 1.98 1.86 1.65 1.54 1.46 1.38 1.3 1.43 1.34 1.24

556

50

4

3.2

384

502 444 414 372 336 323 289 258 239 216

45.2 40.3 38.2 34.4 31.2 31 28.3 25.3 23.8 21.9

3.96 3.94 3.97 3.95 3.95 4.13 4.15 4.14 4.16 4.18

3.1 3.02 3.04 2.98 2.94 3.39 3.42 3.37 3.41 3.48

352 309 278 248 222 92.2 79.3 69.6 62 52.8

779 1130 874 686 611 546 478 431 382 350

74.7 105 83.1 66.3 59.4 53.6 47.2 42.9 38.3 35.2

3.78 3.96 3.83 3.73 3.69 3.65 3.61 3.58 3.55 3.53

3.57 4.07 3.74 3.42 3.29 3.18 3.05 2.96 2.87 2.8

581 837 659 513 460 412 362 326 289 265

319 293 264 238 212 189 204 186 166 151 137 132 117

32.2 29.9 27.2 24.8 22.3 20 22 20.3 18.3 16.9 15.6 15.6 14.1

3.51 3.5 3.5 3.52 3.51 3.51 3.67 3.67 3.67 3.68 3.7 3.79 3.79

2.74 2.7 2.66 2.65 2.62 2.59 3.01 2.99 2.97 3 3.06 3.45 3.48

240 221 195 170 149 130 59.7 54.5 47.2 41.3 35.2 17.2 14.5

285 253

31.9 28.5

3.1 3.07

2.57 2.48

271 241

226 204 181 166 150 135 144 127 110

25.5 23.7 21.1 19.3 17.5 15.8 17.9 15.7 13.8

3.04 3.08 3.06 3.04 3.03 3.01 3.25 3.22 3.21

2.39 2.39 2.33 2.28 2.23 2.18 2.74 2.66 2.6

217 188 166 152 137 124 46.4 40.7 35.3

0.685 0.615 0.65 0.522

0.535 0.43

0.45 2.74 2.5 2.3 2.11 1.91 1.75 1.59 1.44

1.32 1.2 1.06 0.94 0.87 0.77 0.68 0.81 0.75 0.695 0.63 0.57 0.605 0.525 0.425 0.985 0.875 0.76 0.665 0.715 0.63 0.565 0.505 0.43 0.44 0.345 5.12

4.91 4.52 4.16

1.19 1.12 1.15 1.02 1.04 0.93 0.95

103 93.8 90.4

12.9 11.9 11.8

3.2 3.21 3.29

2.59 2.58 2.85

32.4 28.7 15.3

84.4

10.9

3.23

2.64

24.2

80.3

10.7

3.3

2.93

12.5

74.9

9.9

3.26

2.74

19.4

71.1

9.68

3.31

2.98

10.3

3.4375 3.1875 3 2.75 2.5625 2.4375 1.99 1.84 1.72 1.6 1.46 1.34 1.27 1.17 1.08 1.21 1.15 1.1 1.03 0.972 1.01 0.927 0.827 1.69 1.58 1.47 1.37 1.12 1.03 0.967 0.907 0.832 0.842 0.747 5.72 5.51 5.12 4.76

383 337 298 260 229 202 181 160

46.5 41.5 37 32.6 29 25.8 23.4 20.8

2.89 2.85 2.8 2.75 2.72 2.68 2.66 2.63

2.93 2.8 2.68 2.55 2.44 2.34 2.26 2.17

398 352 314 279 246 220 196 174

142 127 119 104 93.8 82.4 71.8 78.2 70.7 64.7 59.5 53.5 52.1 44.8 40.1 76.8 67.3 57 48.7 48.7 42.3 37.8 33.1 30.6 27.5 23.5

18.5 16.7 15.9 14.1 12.7 11.2 9.83 11.2 10.1 9.29 8.63 7.79 7.77 6.73 6.21 11.4 10.1 8.59 7.36 7.77 6.78 6.1 5.35 5.05 4.64 4.09

2.6 2.58 2.6 2.59 2.56 2.55 2.54 2.74 2.72 2.71 2.71 2.7 2.77 2.76 2.79 2.27 2.26 2.23 2.21 2.41 2.4 2.39 2.37 2.41 2.45 2.47

2.09 2.02 2.03 1.97 1.91 1.86 1.8 2.26 2.2 2.16 2.16 2.12 2.33 2.29 2.39 1.75 1.69 1.62 1.55 1.94 1.89 1.86 1.81 1.88 2.02 2.09

156 139 126 110 100 87.6 76.2 30.1 27.4 25 22.5 20 11.3 9.55 7.67 93.1 81.3 69.2 59.5 21.6 18.6 16.4 14.4 12.2 6.2 4.79

901

117

2.76

3.7

2760

739 622 524

95.4 82.1 70.6

2.62 2.52 2.43

3.47 3.25 3.05

2360 2080 1840

3.82 3.5 3.21 3.04 2.85 2.66 2.47 2.26 2.07 1.89 1.72 1.56 1.44 1.31 1.19 1.09 1.03 0.94 0.86 0.78 0.71 0.855 0.785 0.72 0.645 0.66 0.595 0.53 0.515 0.455 0.385 0.42 0.335 2.96 2.71 2.47 2.25 2.07 1.9 1.74 1.56 1.4 1.25 1.11 0.99

4.42 4.1 3.81 3.63 3.44 3.26 3.07 2.86 2.67 2.49 2.32 2.16 2.04 1.91 1.79 1.69 1.63 1.54 1.46 1.38 1.31 1.45 1.38 1.31 1.24 1.25 1.19 1.12 0.915 0.855 0.785 0.82 0.735 3.55 3.3 3.07 2.85 2.67 2.5 2.33 2.16 2 1.85 1.7 1.59

442 375 321 287 257 229 203 176 153 133 116 102 89.8 80.5 70.2 62.5 57.8 51.7 45.3 40.9 36.5 41.2 36 32.6 28.9 27.6 24.9 21.9 23.3 20.9 19 17.3 14.8 190 162 141 121 106 92.1 79 67.8 58.5 50.6 43.4 36.3

60.9 52.7 45.9 41.4 37.6 33.9 30.4 26.7 23.5 20.7 18.2 16.2 14.4 13 11.4 10.2 9.57 8.61 7.56 6.88 6.16 7.14 6.25 5.69 5.07 4.94 4.49 3.98 4.22 3.83 3.55 3.31 2.91 31.2 27 24.1 20.9 18.5 16.4 14.2 12.3 10.8 9.46 8.22 6.92

2.34 2.26 2.19 2.14 2.1 2.05 2.01 1.96 1.92 1.88 1.84 1.81 1.78 1.76 1.73 1.71 1.73 1.71 1.68 1.67 1.66 1.85 1.82 1.81 1.8 1.88 1.88 1.86 2.04 2.04 2.07 2.12 2.14 1.96 1.9 1.86 1.81 1.77 1.73 1.68 1.65 1.62 1.59 1.57 1.53

2.85 2.67 2.51 2.4 2.3 2.19 2.09 1.97 1.86 1.75 1.65 1.57 1.49 1.43 1.35 1.29 1.29 1.24 1.17 1.14 1.09 1.39 1.32 1.29 1.25 1.38 1.35 1.31 1.54 1.53 1.58 1.72 1.76 2.31 2.16 2.05 1.92 1.82 1.72 1.62 1.52 1.43 1.35 1.28 1.19

1630 1440 1280 1180 1090 994 903 807 722 645 576 513 466 419 374 338 274 247 223 201 181 74.1 66.9 60.7 53.7 28.8 25.7 22.6 13.3 11.6 9.79 4.45 3.5 593 525 469 414 371 332 295 259 227 199 172 151

0.9 0.81 0.735 0.67 0.605 0.64 0.575 0.64 0.575 0.515 0.52 0.44 0.38 0.425 0.35 0.265 0.225 1.25 1.12 0.99 0.87 0.77 0.68 0.615 0.56 0.62 0.53 0.435 0.51 0.44 0.36 0.395 0.33 0.27 0.21 0.935 0.81 0.685 0.56 0.495 0.435 0.465 0.4 0.4 0.33

1.5 1.41 1.33 1.27 1.2 1.24 1.17 1.14 1.08 1.02 0.82 0.74 0.68 0.725 0.65 0.565 0.525 1.75 1.62 1.49 1.37 1.27 1.18 1.12 1.06 1.12 1.03 0.935 0.81 0.74 0.66 0.695 0.63 0.57 0.51 1.33 1.2 1.08 0.954 0.889 0.829 0.859 0.794 0.7 0.63

32 28.9 25.8 23.2 20.6 19.1 17.7 18.7 16.6 14.4 16 13.5 11.7 11.7 10.1 8.7 7.67 28.6 24.5 20.8 17.4 14.9 12.9 11.1 10 10.2 8.84 7.71 9.28 7.86 6.88 6.68 6.06 5.45 4.35 10.9 9.12 6.85 5.73 4.82 4.28 4.23 3.53 3.9 3.41

6.12 5.6 5.03 4.54 4.06 3.76 3.54 3.79 3.39 2.95 3.23 2.75 2.4 2.59 2.28 2.04 1.83 6.4 5.56 4.77 4.05 3.49 3.04 2.64 2.39 2.47 2.16 1.93 2.24 1.91 1.72 1.74 1.62 1.5 1.22 3.05 2.61 1.97 1.69 1.43 1.28 1.28 1.08 1.18 1.05

1.51 1.5 1.49 1.48 1.47 1.5 1.51 1.6 1.59 1.57 1.76 1.75 1.75 1.9 1.9 1.92 1.92 1.32 1.29 1.27 1.24 1.22 1.21 1.19 1.18 1.24 1.24 1.26 1.45 1.44 1.46 1.54 1.56 1.57 1.57 1.05 1.03 0.986 0.988 0.968 0.969 1.01 0.999 1.12 1.14

1.13 1.1 1.06 1.02 0.985 1.03 1.02 1.17 1.13 1.09 1.3 1.27 1.25 1.63 1.65 1.74 1.76 1.21 1.13 1.06 0.99 0.932 0.884 0.836 0.807 0.907 0.876 0.869 1.1 1.06 1.07 1.28 1.32 1.37 1.36 0.936 0.874 0.777 0.735 0.688 0.668 0.734 0.695 0.831 0.834

135 120 108 97.5 87.2 53.5 47.9 28.2 25 22 12.2 10.2 8.66 2.33 1.88 1.41 1.18 118 103 89.3 76.8 66.7 58.1 51.7 46.7 26.7 22.5 18.3 8.35 7.05 5.71 2.15 1.78 1.45 1.09 44.3 37.5 30.5 24.5 21.3 18.5 10.8 9.14 4.88 3.98

0.315 0.255 0.205 0.455 0.365 0.405 0.26 0.28 0.215 0.194

0.615 0.555 0.505 0.754 0.664 0.655 0.559 0.53 0.465 0.444 0.73 0.66 0.595

3.28 2.89 2.15 2.29 1.76 1.69 1.41 1.32 0.95

1.07 0.974 0.717 0.886 0.693 0.685 0.577 0.564 0.408

1.22 1.23 1.2 0.788 0.773 0.844 0.795 0.862 0.842

0.998 1.03 0.953 0.61 0.56 0.676 0.557 0.677 0.623

1.7 1.36 1.05 8.53 6.64 2.21 4.66 1.5 1.1

0.904

0.397

0.849

0.638

0.99

2 2 1.75 1.75 1.75 1.75 1.75 1.625 1.625 1.5 1.5 1.375 1.375 1.4375 1.4375 1.1875 1.1875 1.125 1.125 1 1 0.8125 0.8125

1.01 0.845 0.526 259 216 215 190 162 143 124 109 92.9 84.5 62.3 40.5 32.9 25.1 18.9 17.2 14.8 12.5 7.79 5 3.49 2.12 1.26

0.485 0.413 0.321 30.1 24.1 26.3 22.6 18.6 20.3 17.2 15.8 12.9 14 9.6 7.72 5.99 6.04 4.27 3.95 3.3 3.62 2.05 1.76 1.14 1.02 0.547

0.604 0.599 0.524 3.82 3.72 3.83 3.79 3.72 3.18 3.13 3.15 3.1 2.87 2.79 2.35 2.29 1.85 1.78 1.83 1.78 1.56 1.45 1.22 1.14 0.915 0.831

0.487 0.458 0.44 3.63 3.28 3.84 3.6 3.3 3.13 2.91 3.07 2.81 2.94 2.51 2.25 2.01 1.84 1.58 1.65 1.51 1.56 1.2 1.15 0.942 0.915 0.692

4.56 3.75 1.93 41.5 38.4 23.7 22.3 21 25 23.3 14.8 13.7 12 10.4 7.79 7.13 7.79 6.74 4.92 4.66 4.15 3.36 2.13 1.84 1.14 0.901

0.392 0.392 0.326

0.9375 0.9375 0.8125

3.36 2.19 1.27

1.36 0.816 0.74

1.07 0.987 0.764

1.04 0.817 0.789

1.59 1.32 0.833

0.326 0.293 0.293 0.26 0.26

0.75 0.75 0.75 0.625 0.625

0.671 0.462 0.307 0.2 0.114

0.348 0.319 0.198 0.187 0.097

0.677 0.575 0.522 0.426 0.37

0.57 0.553 0.448 0.432 0.329

0.597 0.444 0.374 0.289 0.223

0.27

0.625

13.1

2.69

2.27

2.12

1.32

0.43 0.36 0.345 1.09 1.09 0.87 0.87 0.87 0.92 0.92 0.795 0.795 0.691 0.691 0.622 0.622 0.659 0.659 0.544 0.544 0.491 0.491 0.425 0.425 0.359 0.359

0.225

0.5625

6.61

1.61

1.96

1.89

0.543

0.21 0.18

0.5625 0.5

6.03 5.62

1.46 1.36

1.95 1.96

1.86 1.86

0.506 0.517

0.206

0.5625

3.47

1

1.62

1.54

0.336

0.182 0.173

0.5625 0.4375

3.08 2.91

0.894 0.836

1.62 1.63

1.52 1.51

0.296 0.281

0.189

0.5625

1.57

0.558

1.29

1.18

0.188

0.177 0.379

0.4375 0.875

1.5 1.54

0.533 0.624

1.29 0.724

1.18 0.531

0.176 5.8

0.171

0.375

0.579

0.268

0.949

0.841

0.0897

0.129

0.3125

0.483

0.226

0.946

0.827

0.0863

0.416

0.8125

1.05

0.527

0.615

0.511

3.93

0.371 0.16

0.8125 0.5

0.43 0.208

0.271 0.133

0.476 0.493

0.41 0.341

1.68 0.732

th Edition Manual (1989) Sy 75.3 66.1 58.8 50.5 151 125 79.8 104 95.7 64.9 88.4 86.3 52.9 52.7 76.6 74.9 69 43.5 65.9 41.3 58.8 37.3 50.5 33 44.1 28.5 34.4 23.9 19.4 251 234 183 145 117 104

ry 3.5 3.49 3.46 3.43 3.8 3.72 2.72 3.65 3.63 2.64 3.6 3.6 2.57 2.58 3.57 3.56 3.54 2.52 3.58 2.52 3.55 2.54 3.54 2.51 3.45 2.5 3.26 2.4 2.29 4.27 4.23 4.11 4.01 3.93 3.89

J 37.1 25.7 18.8 12.4 221 139 139 88.2 70.6 85.6 58 54.2 52.6 51.4 39.6 37.7 30.5 32.2 25.7 27.9 19 20.6 12.4 15.2 9.12 10 5.6 6.99 4.66 622 523 294 163 96.3 70.5

94 85.5 77.8 72.2 65.8 43.2 61.4 38.6

3.86 3.84 3.83 3.81 3.77 2.65 3.75 2.62

54 41.9 32 26.2 20.7 26.4 17.3 19.7

Cw 434 279 204 139 2340 1420 1360 881 677 802 559 511 485 449 362 350 279 278 218 233 158 156 101 113 83.5 72.1 65.3 62.9 51.9 6880 5700 3010 1570 894 637 480 363 278 226 181

205 151

151

ro(bar) 8.81 8.67 8.65 8.67 8.29 8.17 8.39 8.09 8.01 8.26 7.99 7.96 8.19 8.13 7.89 7.92 7.87 8.07 7.75 8.02 7.7 7.88 7.65 7.84 7.82 7.78 8.12 8.01 8.23 8.08 8.02 7.8 7.61 7.49 7.42

H 0.724 0.733 0.731 0.723 0.762 0.759 0.68 0.756 0.759 0.678 0.756 0.759 0.674 0.681 0.76 0.756 0.756 0.676 0.771 0.679 0.769 0.691 0.77 0.689 0.747 0.692 0.699 0.659 0.626 0.802 0.802 0.8 0.799 0.796 0.797

7.38 7.32 7.31 7.28 7.29 7.45 7.28 7.4

0.797 0.799 0.797 0.796 0.791 0.704 0.788 0.703

57 33.8 30.9 28.8 26.6 24.6 22.5 18.9

3.73 2.58 2.56 2.55 2.53 2.5 2.47 2.38

14.3 13.9 11.1 9.2 7.51 6.17 5.04 3.48

119 92.7 77.6 63.2 53.6 46 37.3

7.28 7.49 7.45 7.45 7.44 7.46 7.5 7.65

0.784 0.687 0.687 0.685 0.684 0.678 0.67 0.644

100

3.77

73.9

615

7.04

0.802

90.6 80.7 73.1 65.5 58.8 53.2 47.6 27 23.6 21.3 18.9 16.3

3.74 3.71 3.68 3.65 3.62 3.59 3.56 2.5 2.47 2.43 2.38 2.32

57.1 42.1 32.5 24.3 18 13.9 10.4 8.81 6.16 4.84 3.67 2.64

468 335 256 188 146 113 84.9 55.4 43 35.4 29.3 23.4

7 6.93 6.91 6.86 6.9 6.89 6.88 6.74 6.81 6.85 6.92 7.02

0.803 0.803 0.803 0.803 0.793 0.788 0.784 0.715 0.7 0.691 0.677 0.659

124 99.2 89.6 81 71.9 63.3

3.75 3.67 3.64 3.6 3.58 3.53

151 86.3 66.6 51.2 37.5 26.9

1170 636 478 361 257 184

6.65 6.51 6.44 6.4 6.33 6.31

0.819 0.818 0.818 0.817 0.819 0.815

56.8 50.1 44.7 39.9 21.7 18.6 17.2 15.6 13.9 12.2

3.51 3.49 3.46 3.42 2.28 2.25 2.23 2.19 2.15 2.1

20.1 14.1 10.5 7.78 7.24 4.85 3.98 3.21 2.49 1.88

133 96.4 71.2 53 37.6 28.5 23.9 20.5 17.3 14.3

6.24 6.26 6.25 6.24 6.11 6.19 6.21 6.24 6.3 6.38

0.818 0.81 0.807 0.802 0.717 0.698 0.694 0.683 0.668 0.654

11 138 112 89.3 80.8 72.9 66.4 60.2

2.09 3.65 3.57 3.48 3.45 3.41 3.39 3.36

1.41 247 146 84.5 65.4 50.5 39.6 30.7

10.5 1740 977 532 401 304 232 178

6.35 6.27 6.11 5.96 5.9 5.85 5.79 5.76

0.654 0.832 0.829 0.828 0.829 0.828 0.83 0.829

125

54.2

3.33

23.4

135

5.73

0.825

49.9 44.1 39.4 35.4 31.7 18.4 15.8 13.9 12.4 10.6

3.32 3.29 3.25 3.23 3.2 2.21 2.18 2.15 2.12 2.07

18.8 13.5 10 7.53 5.62 5.55 3.65 2.63 2.01 1.4

105 74.3 57.7 42.7 31.7 24 17.5 12.6 10.2 7.79

5.68 5.64 5.69 5.66 5.64 5.48 5.54 5.53 5.57 5.63

0.829 0.826 0.815 0.814 0.811 0.731 0.715 0.714 0.703 0.685

85.1 119 95.5 75.9 68.6 61.9 54.9 49.7 44.4 40.9

3.27 3.41 3.33 3.23 3.2 3.17 3.14 3.11 3.08 3.07

100 223 133 75.6 58.4 45.1 33.2 25.5 19.1 15.3

553 1340 748 405 305 230 165 125 91.3 72.5

5.47 5.71 5.55 5.4 5.34 5.28 5.22 5.19 5.14 5.12

0.837 0.838 0.836 0.837 0.838 0.836 0.837 0.837 0.835 0.837

37.2 34.2 30.3 26.5 23.2 20.3 13.3 12 10.5 9.18 7.85 4.9 4.15

3.04 3.05 3.01 2.97 2.94 2.91 1.99 1.98 1.95 1.92 1.87 1.37 1.34

11.9 9.22 6.7 4.74 3.35 2.35 3.53 2.62 1.84 1.34 0.932 0.883 0.615

55.8 43.8 31.9 23.1 16.4 11.6 12.3 9.57 6.9 5.3 4.08 3.92 2.93

5.09 5.09 5.08 5.08 5.08 5.08 4.88 4.89 4.89 4.92 4.99 5.12 5.15

0.835 0.831 0.827 0.818 0.813 0.81 0.733 0.728 0.721 0.708 0.692 0.62 0.607

43.1 38.6

3.02 3

20.4 15.3

85.4 63

4.68 4.63

0.859 0.859

35 30 26.7 24.6 22.2 20.2 11 9.74 8.51

2.99 2.95 2.93 2.91 2.9 2.89 1.84 1.83 1.81

11.8 7.69 5.62 4.47 3.4 2.6 3.01 2.16 1.51

47.3 32.5 23.4 18.4 13.8 10.4 9.33 6.5 4.42

4.59 4.63 4.6 4.58 4.56 4.53 4.37 4.33 4.31

0.861 0.846 0.844 0.846 0.845 0.846 0.729 0.732 0.732

7.83 6.97 4.67

1.8 1.77 1.35

1.22 0.913 0.884

3.62 2.78 2.5

4.31 4.31 4.36

0.728 0.722 0.665

5.89

1.73

0.617

2.08

4.37

0.704

3.82

1.3

0.57

1.89

4.44

0.64

4.76

1.66

0.4

1.52

4.44

0.677

3.18

1.26

0.383

1.4

4.49

0.624

66.2 59.2 53.4 47.9 42.7 38.4 34.4 30.7

2.95 2.91 2.88 2.85 2.82 2.79 2.76 2.74

87.2 66.5 51.5 39.4 29.4 22.4 16.8 12.5

339 251 189 140 102 75.7 56.5 41.2

4.42 4.36 4.3 4.23 4.19 4.14 4.1 4.06

0.875 0.873 0.874 0.875 0.873 0.875 0.872 0.872

27.7 24.9 22.5 19.7 18 15.8 13.8 7.89 7.22 6.63 5.97 5.35 3.71 3.17 2.56 17.9 15.7 13.4 11.6 6.06 5.26 4.67 4.12 3.5 2.24 1.74

2.72 2.7 2.69 2.66 2.65 2.63 2.61 1.7 1.69 1.68 1.67 1.65 1.29 1.27 1.22 2.5 2.48 2.46 2.44 1.6 1.59 1.57 1.56 1.52 1.17 1.12

9.58 7.23 5.3 3.73 2.92 2.04 1.41 1.74 1.36 1.08 0.83 0.619 0.609 0.404 0.252 4.09 2.91 1.93 1.31 1.1 0.76 0.555 0.396 0.272 0.23 0.13

30.7 22.8 17.4 12.1 9.29 6.42 4.37 3.96 3.01 2.35 1.84 1.36 1.2 0.788 0.598 10.4 7.19 4.61 3.01 1.99 1.34 0.974 0.673 0.516 0.366 0.243

4.03 3.99 4.03 4 3.97 3.94 3.92 3.72 3.69 3.67 3.68 3.66 3.67 3.65 3.74 3.6 3.58 3.54 3.51 3.3 3.28 3.27 3.24 3.3 3.26 3.32

0.874 0.873 0.861 0.859 0.862 0.86 0.861 0.751 0.755 0.756 0.749 0.749 0.695 0.691 0.661 0.878 0.878 0.877 0.88 0.77 0.769 0.767 0.769 0.745 0.695 0.666

297

4.82

897

6970

5.66

0.959

264 236 211

4.69 4.62 4.55

714 555 430

5250 3920 2930

5.48 5.35 5.25

0.966 0.966 0.966

189 169 152 141 131 121 110 99.4 89.7 80.7 72.5 65 59.3 53.5 48.1 43.7 37.2 33.7 30.6 27.6 25 14.6 13.3 12.1 10.7 7.15 6.4 5.65 3.94 3.45 2.91 1.77 1.4 88.6 79.3 71.3 63.6 57.5 51.9 46.5 41.2 36.4 32.1 28 24.7

4.49 4.43 4.38 4.34 4.31 4.27 4.24 4.2 4.17 4.13 4.1 4.07 4.05 4.02 4 3.98 3.76 3.74 3.73 3.71 3.7 2.48 2.48 2.46 2.45 1.92 1.91 1.89 1.55 1.53 1.49 1.08 1.04 3.47 3.42 3.38 3.34 3.31 3.28 3.25 3.22 3.19 3.16 3.13 3.11

331 254 196 164 135 110 88.3 67.5 51.8 39.3 29.6 22.2 17.3 13.2 9.84 7.56 6.13 4.67 3.55 2.68 2.03 2.53 1.93 1.5 1.09 0.967 0.723 0.522 0.398 0.284 0.19 0.179 0.104 120 92 70.9 53.5 41.6 32.1 24.3 17.7 12.8 9.21 6.42 4.55

2180 1620 1210 991 801 640 502 375 281 209 154 113 87.2 65.2 47.9 36.3 26.6 20 15 11.1 8.31 5.63 4.19 3.21 2.29 1.46 1.07 0.751 0.554 0.4 0.287 0.207 0.134 481 356 267 195 148 112 82.1 58.3 41.3 28.9 19.7 13.6

5.15 5.05 4.97 4.92 4.88 4.82 4.77 4.71 4.66 4.61 4.57 4.52 4.49 4.46 4.42 4.4 4.21 4.18 4.16 4.14 4.13 3.25 3.21 3.19 3.17 2.89 2.87 2.85 2.86 2.86 2.9 2.82 2.86 4.07 4 3.94 3.88 3.83 3.78 3.74 3.69 3.64 3.61 3.57 3.53

0.967 0.967 0.967 0.968 0.968 0.968 0.968 0.968 0.969 0.97 0.97 0.969 0.971 0.97 0.971 0.971 0.966 0.966 0.968 0.967 0.968 0.912 0.917 0.915 0.914 0.868 0.866 0.866 0.799 0.793 0.771 0.713 0.69 0.958 0.959 0.957 0.958 0.958 0.959 0.96 0.96 0.96 0.96 0.959 0.961

22.2 19.9 17.9 16.2 14.5 10.7 9.58 6.97 6.21 5.5 3.73 3.12 2.67 1.15 0.939 0.706 0.593 22.6 20 17.4 15.1 13.2 11.5 10.3 9.34 6.65 5.64 4.6 2.87 2.44 1.99 1.07 0.887 0.723 0.551 10.7 9.13 7.51 6.08 5.31 4.64 3.31 2.81 1.85 1.52

3.09 3.07 3.05 3.04 3.02 2.51 2.48 1.96 1.95 1.94 1.54 1.52 1.51 0.847 0.821 0.773 0.753 2.67 2.65 2.63 2.6 2.58 2.57 2.56 2.54 2.01 1.98 1.94 1.37 1.36 1.33 0.874 0.844 0.81 0.785 2.12 2.1 2.08 2.04 2.03 2.02 1.62 1.61 1.26 1.23

3.42 2.54 1.91 1.46 1.09 1.05 0.788 0.855 0.627 0.452 0.369 0.228 0.15 0.146 0.0899 0.0511 0.035 7.5 5.41 3.75 2.55 1.78 1.23 0.909 0.693 0.753 0.487 0.291 0.31 0.201 0.119 0.116 0.0776 0.0518 0.0272 2.51 1.66 0.977 0.558 0.384 0.267 0.268 0.173 0.141 0.0855

10.1 7.34 5.43 4.07 2.97 2.08 1.53 1.23 0.885 0.62 0.437 0.267 0.174 0.137 0.0934 0.0678 0.0493 16.9 11.9 8.02 5.31 3.62 2.46 1.78 1.33 0.981 0.616 0.356 0.273 0.173 0.107 0.0796 0.061 0.0475 0.0255 3.56 2.28 1.3 0.715 0.48 0.327 0.23 0.144 0.0916 0.0562

3.51 3.48 3.47 3.44 3.43 3 2.99 2.67 2.66 2.63 2.56 2.55 2.54 2.52 2.54 2.62 2.64 3.04 3 2.98 2.94 2.91 2.89 2.87 2.85 2.43 2.42 2.41 2.17 2.15 2.16 2.08 2.11 2.16 2.16 2.41 2.38 2.34 2.31 2.3 2.28 1.97 1.96 1.8 1.8

0.962 0.96 0.96 0.96 0.96 0.944 0.94 0.899 0.9 0.9 0.835 0.83 0.826 0.684 0.663 0.624 0.611 0.963 0.964 0.964 0.964 0.965 0.965 0.966 0.966 0.94 0.936 0.927 0.848 0.847 0.83 0.729 0.7 0.673 0.662 0.962 0.961 0.966 0.961 0.963 0.961 0.935 0.936 0.877 0.862

0.849 0.682 0.531 2.81 2.21 1.1 1.56 0.748 0.557

0.876 0.843 0.84 1.52 1.5 0.966 1.45 0.918 0.905

0.0679 0.0433 0.0212 0.234 0.123 0.111 0.0523 0.0449 0.0202

0.0382 0.0269 0.0114 0.171 0.0858 0.0426 0.0342 0.0178 0.00736

1.72 1.74 1.7 1.76 1.73 1.37 1.71 1.37 1.34

0.761 0.731 0.75 0.953 0.952 0.881 0.938 0.846 0.852

0.503

0.889

0.0164

0.00616

1.34

0.837

1.81 1.5 0.95 10.3 9.76 6.55 6.27 6 6.93 6.59 4.62 4.39 3.84 3.45 2.76 2.59 2.84 2.57 1.94 1.87 1.68 1.44 1.02 0.922 0.642 0.541

1.28 1.26 1 1.53 1.57 1.27 1.3 1.34 1.33 1.36 1.16 1.19 1.08 1.14 1.03 1.06 1.03 1.06 0.98 1 0.899 0.95 0.795 0.827 0.673 0.702

0.157 0.0958 0.075 6.38 5.05 3.76 3.01 2.44 4.16 3.3 2.28 1.78 2.02 1.16 1.05 0.765 1.36 0.842 0.524 0.438 0.633 0.3 0.271 0.167 0.181 0.083

0.0775 0.0453 0.0233 27.5 15 19.5 12.1 6.94 15 9.17 7.21 4.02 7.03 2.26 2.02 0.995 1.97 0.787 0.556 0.364 0.725 0.173 0.168 0.0642 0.0772 0.0197

1.44 1.43 1.17 5.14 4.88 5.28 5.11 4.88 4.36 4.2 4.29 4.1 4.01 3.71 3.22 3.04 2.6 2.42 2.49 2.39 2.23 1.97 1.73 1.58 1.35 1.2

0.964 0.962 0.948 0.64 0.686 0.584 0.616 0.655 0.625 0.66 0.612 0.654 0.581 0.66 0.637 0.688 0.662 0.733 0.694 0.732 0.653 0.765 0.706 0.787 0.703 0.818

0.821 0.72 0.507

0.734 0.766 0.62

0.221 0.12 0.155

0.11535 0.03658 0.05126

1.54 1.39 1.17

0.703 0.802 0.712

0.398 0.317 0.281 0.23 0.192

0.638 0.564 0.576 0.513 0.518

0.0568 0.059 0.0364 0.0432 0.0216

0.01 0.00995 0.00457 0.00496 0.00189

1.01 0.904 0.833 0.732 0.668

0.838 0.798 0.869 0.83 0.911

0.66

0.719

0.0599

0.09807

3.1

0.59

0.354

0.561

0.0249

0.0337

2.71

0.57

0.33 0.318

0.566 0.594

0.0196 0.0145

0.025 0.0202

2.69 2.71

0.574 0.573

0.25

0.505

0.0156

0.0138

2.22

0.581

0.22 0.209

0.502 0.505

0.0112 0.00932

0.00989 0.00792

2.22 2.22

0.586 0.589

0.165

0.444

0.00917

0.00463

1.74

0.611

0.154 1.95

0.441 1.4

0.00778 0.139

1.75 1.61

0.611 0.955

0.0973

0.374

0.00494

1.27

0.646

0.0863

0.4

0.00265

0.00403 0.08879 0.00124 0.000755

1.28

0.645

1.57

1.19

0.165

0.0732

1.37

0.951

0.853 0.385

0.939 0.926

0.093 0.00919

0.02441 0.00193

1.08 1.08

0.957 0.942

Single Angle Section Propert Shape L9x4x5/8 L9x4x9/16 L9x4x1/2

d 9 9 9

b 4 4 4

t 0.625 0.5625 0.5

L8x8x1-1/8 L8x8x1 L8x8x7/8 L8x8x3/4 L8x8x5/8 L8x8x9/16 L8x8x1/2 L8x6x1 L8x6x7/8 L8x6x3/4 L8x6x5/8 L8x6x9/16 L8x6x1/2 L8x6x7/16 L8x4x1

8 8 8 8 8 8 8 8 8 8 8 8 8 8 8

8 8 8 8 8 8 8 6 6 6 6 6 6 6 4

1.125 1 0.875 0.75 0.625 0.5625 0.5 1 0.875 0.75 0.625 0.5625 0.5 0.4375 1

L8x4x7/8

8

4

0.875

L8x4x3/4

8

4

0.75

L8x4x5/8

8

4

0.625

L8x4x9/16 L8x4x1/2

8 8

4 4

0.5625 0.5

L8x4x7/16

8

4

0.4375

L7x4x3/4 L7x4x5/8 L7x4x1/2

7 7 7

4 4 4

0.75 0.625 0.5

L7x4x7/16

7

4

0.4375

L7x4x3/8 L6x6x1 L6x6x7/8 L6x6x3/4 L6x6x5/8 L6x6x9/16 L6x6x1/2 L6x6x7/16 L6x6x3/8 L6x6x5/16 L6x4x7/8 L6x4x3/4 L6x4x5/8 L6x4x9/16 L6x4x1/2

7 6 6 6 6 6 6 6 6 6 6 6 6 6 6

4 6 6 6 6 6 6 6 6 6 4 4 4 4 4

0.375 1 0.875 0.75 0.625 0.5625 0.5 0.4375 0.375 0.3125 0.875 0.75 0.625 0.5625 0.5

k 1.125 1.0625 1 1.75 1.625 1.5 1.375 1.25 1.1875 1.125 1.5 1.375 1.25 1.125 1.0625 1 0.9375 1.5 1.375 1.25 1.125 1.0625 1 0.9375 1.25 1.125 1 0.9375 0.875 1.5 1.375 1.25 1.125 1.0625 1 0.9375 0.875 0.8125 1.375 1.25 1.125 1.0625 1

wt./ft. 26.3 23.8 21.3

A 7.73 7 6.25

57.2 51.3 45.3 39.2 33 29.8 26.7 44.4 39.3 34 28.6 25.9 23.2 20.4 37.6

16.8 15.1 13.3 11.5 9.69 8.77 7.84 13.1 11.5 9.99 8.41 7.61 6.8 5.99 11.1

33.3

9.79

28.9

8.49

24.4

7.16

22.1 19.7

6.49 5.8

17.4

5.11

26.2 22.1 17.9

7.7 6.5 5.26

15.8

4.63

13.6 37.5 33.2 28.8 24.3 22 19.6 17.3 14.9 12.5 27.2 23.6 19.9 18.1 16.2

4 11 9.75 8.46 7.13 6.45 5.77 5.08 4.38 3.67 7.98 6.94 5.86 5.31 4.75

L6x4x7/16 L6x4x3/8 L6x4x5/16 L6x3-1/2x1/2 L6x3-1/2x3/8 L6x3-1/2x5/16 L5x5x7/8 L5x5x3/4 L5x5x5/8 L5x5x1/2 L5x5x7/16 L5x5x3/8 L5x5x5/16 L5x3-1/2x3/4 L5x3-1/2x5/8 L5x3-1/2x1/2

6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5

4 4 4 3.5 3.5 3.5 5 5 5 5 5 5 5 3.5 3.5 3.5

0.4375 0.375 0.3125 0.5 0.375 0.3125 0.875 0.75 0.625 0.5 0.4375 0.375 0.3125 0.75 0.625 0.5

L5x3-1/2x7/16

5

3.5

0.4375

L5x3-1/2x3/8 L5x3-1/2x5/16 L5x3-1/2x1/4

5 5 5

3.5 3.5 3.5

0.375 0.3125 0.25

L5x3x5/8

5

3

0.625

L5x3x1/2

5

3

L5x3x7/16

5

3

L5x3x3/8 L5x3x5/16 L5x3x1/4 L4x4x3/4 L4x4x5/8 L4x4x1/2 L4x4x7/16 L4x4x3/8 L4x4x5/16 L4x4x1/4 L4x3-1/2x1/2

5 5 5 4 4 4 4 4 4 4 4

3 3 3 4 4 4 4 4 4 4 3.5

0.5 0.4375 0.375 0.3125 0.25 0.75 0.625 0.5 0.4375 0.375 0.3125 0.25 0.5

L4x3-1/2x7/16

4

3.5

0.4375

L4x3-1/2x3/8 L4x3-1/2x5/16 L4x3-1/2x1/4

4 4 4

3.5 3.5 3.5

0.375 0.3125 0.25

L4x3x5/8

4

3

0.625

L4x3x1/2

4

3

0.5

L4x3x7/16

4

3

0.4375

L4x3x3/8 L4x3x5/16 L4x3x1/4 L3-1/2x3-1/2x1/2

4 4 4 3.5

3 3 3 3.5

0.375 0.3125 0.25 0.5

0.9375 0.875 0.8125 1 0.875 0.8125 1.375 1.25 1.125 1 0.9375 0.875 0.8125 1.1875 1.0625 0.9375 0.9375 0.8125 0.75 0.6875 1 0.9375 0.875 0.8125 0.75 0.6875 1.125 1 0.875 0.8125 0.75 0.6875 0.625

0.875 0.875 0.75 0.6875 0.625 1 0.875 0.875 0.75 0.6875 0.625 0.875

14.2 12.3 10.3 15.4 11.7 9.83 27.3 23.7 20.1 16.3 14.4 12.4 10.4 19.8 16.8 13.6

4.18 3.61 3.03 4.52 3.44 2.89 8.02 6.98 5.9 4.79 4.22 3.65 3.07 5.82 4.93 4

12

3.53

10.4 8.72 7.03

3.05 2.56 2.07

15.7

4.61

12.8 11.3 9.74 8.19 6.6 18.5 15.7 12.7 11.2 9.72 8.16 6.58 11.9

3.75 3.31 2.86 2.41 1.94 5.43 4.61 3.75 3.3 2.86 2.4 1.93 3.5

10.6

3.09

9.1 7.65 6.18

2.68 2.25 1.82

13.6

3.99

11.1

3.25

9.8

2.87

8.47 7.12 5.75 11.1

2.49 2.09 1.69 3.27

L3-1/2x3-1/2x7/16 L3-1/2x3-1/2x3/8 L3-1/2x3-1/2x5/16 L3-1/2x3-1/2x1/4 L3-1/2x3x1/2 L3-1/2x3x7/16 L3-1/2x3x3/8 L3-1/2x3x5/16 L3-1/2x3x1/4 L3-1/2x2-1/2x1/2

3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5

3.5 3.5 3.5 3.5 3 3 3 3 3 2.5

0.4375 0.375 0.3125 0.25 0.5 0.4375 0.375 0.3125 0.25 0.5

L3-1/2x2-1/2x7/16

3.5

2.5

0.4375

L3-1/2x2-1/2x3/8 L3-1/2x2-1/2x5/16 L3-1/2x2-1/2x1/4 L3x3x1/2 L3x3x7/16 L3x3x3/8 L3x3x5/16 L3x3x1/4 L3x3x3/16 L3x2-1/2x1/2 L3x2-1/2x7/16 L3x2-1/2x3/8 L3x2-1/2x5/16 L3x2-1/2x1/4 L3x2-1/2x3/16 L3x2x1/2

3.5 3.5 3.5 3 3 3 3 3 3 3 3 3 3 3 3 3

2.5 2.5 2.5 3 3 3 3 3 3 2.5 2.5 2.5 2.5 2.5 2.5 2

0.375 0.3125 0.25 0.5 0.4375 0.375 0.3125 0.25 0.1875 0.5 0.4375 0.375 0.3125 0.25 0.1875 0.5

L3x2x7/16

3

2

0.4375

L3x2x3/8 L3x2x5/16 L3x2x1/4 L3x2x3/16 L2-1/2x2-1/2x1/2 L2-1/2x2-1/2x3/8 L2-1/2x2-1/2x5/16 L2-1/2x2-1/2x1/4 L2-1/2x2-1/2x3/16 L2-1/2X2X3/8 L2-1/2x2x5/16 L2-1/2x2x1/4 L2-1/2x2x3/16 L2x2x3/8 L2x2x5/16 L2x2x1/4 L2x2x3/16

3 3 3 3 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2 2 2 2

2 2 2 2 2.5 2.5 2.5 2.5 2.5 2 2 2 2 2 2 2 2

0.375 0.3125 0.25 0.1875 0.5 0.375 0.3125 0.25 0.1875 0.375 0.3125 0.25 0.1875 0.375 0.3125 0.25 0.1875

0.8125 0.75 0.6875 0.625 0.875 0.8125 0.75 0.6875 0.625 0.875 0.875 0.75 0.6875 0.625 0.875 0.8125 0.75 0.6875 0.625 0.5625 0.875 0.8125 0.75 0.6875 0.625 0.5625 0.8125 0.75 0.6875 0.625 0.5625 0.5 0.75 0.625 0.5625 0.5 0.4375 0.625 0.5625 0.5 0.4375 0.625 0.5625 0.5 0.4375

9.82 8.51 7.16 5.79 10.3 9.09 7.88 6.65 5.38 9.41

2.89 2.5 2.1 1.7 3.02 2.67 2.32 1.95 1.58 2.76

8.3

2.43

7.23 6.1 4.94 9.35 8.28 7.17 6.04 4.89 3.7 8.53 7.56 6.56 5.54 4.49 3.41 7.7

2.12 1.79 1.45 2.75 2.43 2.11 1.78 1.44 1.09 2.51 2.22 1.93 1.63 1.32 1 2.26

6.8

2

5.95 5.03 4.09 3.12 7.65 5.9 4.98 4.04 3.06 5.3 4.49 3.65 2.78 4.65 3.94 3.21 2.46

1.75 1.48 1.2 0.917 2.25 1.73 1.46 1.19 0.901 1.56 1.32 1.07 0.818 1.37 1.16 0.944 0.722

L2x2x1/8

2

2

0.125

L1-3/4x1-3/4x1/4 L1-3/4x1-3/4x3/16 L1-1/2x1-1/2x1/4 L1-1/2x1-1/2x3/16 L1-1/4x1-1/4x1/4 L1-1/4x1-1/4x3/16 L1-1/8x1-1/8x1/8 L1x1x1/8

1.75 1.75 1.5 1.5 1.25 1.25 1.125 1

1.75 1.75 1.5 1.5 1.25 1.25 1.125 1

0.25 0.1875 0.25 0.1875 0.25 0.1875 0.125 0.125

0.375 0.5 0.4375 0.4375 0.375 0.4375 0.375 0.21875 0.25

1.67

0.491

2.77 2.12 2.34 1.8 1.92 1.48 0.9 0.8

0.813 0.621 0.688 0.527 0.563 0.434 0.266 0.234

ngle Section Properties from AISC Version 3.0 CD Database (2001) and AISC 9th Edition Manual (1989) Ix 64.9 59.1 53.2

Sx 11.5 10.4 9.34

rx 2.9 2.91 2.92

y 3.36 3.33 3.31

Iy 8.32 7.63 6.92

Sy 2.65 2.41 2.17

ry 1.04 1.04 1.05

98.1 89.1 79.7 69.9 59.6 54.2 48.8 80.9 72.4 63.5 54.2 49.4 44.4 39.3 69.7

17.5 15.8 14 12.2 10.3 9.33 8.36 15.1 13.4 11.7 9.86 8.94 8.01 7.06 14

2.41 2.43 2.45 2.46 2.48 2.49 2.49 2.49 2.5 2.52 2.54 2.55 2.55 2.56 2.51

2.4 2.36 2.31 2.26 2.21 2.19 2.17 2.65 2.6 2.55 2.5 2.48 2.46 2.43 3.03

98.1 89.1 79.7 69.9 59.6 54.2 48.8 38.8 34.9 30.8 26.4 24.1 21.7 19.3 11.6

17.5 15.8 14 12.2 10.3 9.33 8.36 8.92 7.94 6.92 5.88 5.34 4.79 4.23 3.94

2.41 2.43 2.45 2.46 2.48 2.49 2.49 1.72 1.74 1.75 1.77 1.78 1.79 1.8 1.03

62.6

12.5

2.53

2.99

10.5

3.51

1.04

55

10.9

2.55

2.94

9.37

3.07

1.05

47

9.2

2.56

2.89

8.11

2.62

1.06

42.9 38.6

8.34 7.48

2.57 2.58

2.86 2.84

7.44 6.75

2.38 2.15

1.07 1.08

34.2

6.59

2.59

2.81

6.03

1.9

1.09

37.8 32.4 26.6

8.39 7.12 5.79

2.21 2.23 2.25

2.5 2.45 2.4

9 7.79 6.48

3.01 2.56 2.1

1.08 1.1 1.11

23.6

5.11

2.26

2.38

5.79

1.86

1.12

20.5 35.4 31.9 28.1 24.1 22 19.9 17.6 15.4 13 27.7 24.5 21 19.2 17.3

4.42 8.55 7.61 6.64 5.64 5.12 4.59 4.06 3.51 2.95 7.13 6.23 5.29 4.81 4.31

2.27 1.79 1.81 1.82 1.84 1.85 1.86 1.86 1.87 1.88 1.86 1.88 1.89 1.9 1.91

2.35 1.86 1.81 1.77 1.72 1.7 1.67 1.65 1.62 1.6 2.12 2.07 2.03 2 1.98

5.06 35.4 31.9 28.1 24.1 22 19.9 17.6 15.4 13 9.7 8.63 7.48 6.86 6.22

1.61 8.55 7.61 6.64 5.64 5.12 4.59 4.06 3.51 2.95 3.37 2.95 2.52 2.29 2.06

1.12 1.79 1.81 1.82 1.84 1.85 1.86 1.86 1.87 1.88 1.1 1.12 1.13 1.14 1.14

15.4 13.4 11.4 16.6 12.9 10.9 17.8 15.7 13.6 11.3 10 8.76 7.44 13.9 12 9.96

3.81 3.3 2.77 4.23 3.23 2.72 5.16 4.52 3.85 3.15 2.78 2.41 2.04 4.26 3.63 2.97

1.92 1.93 1.94 1.92 1.93 1.94 1.49 1.5 1.52 1.53 1.54 1.55 1.56 1.55 1.56 1.58

1.95 1.93 1.9 2.07 2.02 2 1.56 1.52 1.47 1.42 1.4 1.37 1.35 1.74 1.69 1.65

5.56 4.86 4.13 4.24 3.33 2.84 17.8 15.7 13.6 11.3 10 8.76 7.44 5.52 4.8 4.02

1.83 1.58 1.34 1.59 1.22 1.03 5.16 4.52 3.85 3.15 2.78 2.41 2.04 2.2 1.88 1.55

1.15 1.16 1.17 0.968 0.984 0.991 1.49 1.5 1.52 1.53 1.54 1.55 1.56 0.974 0.987 1

8.9

2.64

1.59

1.63

3.63

1.39

1.01

7.75 6.58 5.36

2.28 1.92 1.55

1.59 1.6 1.61

1.6 1.57 1.55

3.15 2.69 2.2

1.19 1.01 0.816

1.02 1.02 1.03

11.4

3.55

1.57

1.8

3.06

1.39

0.815

9.43 8.41 7.35 6.24 5.09 7.62 6.62 5.52 4.93 4.32 3.67 3 5.3

2.89 2.56 2.22 1.87 1.51 2.79 2.38 1.96 1.73 1.5 1.27 1.03 1.92

1.58 1.59 1.6 1.61 1.62 1.18 1.2 1.21 1.22 1.23 1.24 1.25 1.23

1.74 1.72 1.69 1.67 1.64 1.27 1.22 1.18 1.15 1.13 1.11 1.08 1.24

2.55 2.29 2.01 1.72 1.41 7.62 6.62 5.52 4.93 4.32 3.67 3 3.76

1.13 1 0.874 0.739 0.6 2.79 2.38 1.96 1.73 1.5 1.27 1.03 1.5

0.824 0.831 0.838 0.846 0.853 1.18 1.2 1.21 1.22 1.23 1.24 1.25 1.04

4.76

1.72

1.24

1.23

3.4

1.35

1.05

4.15 3.53 2.89

1.48 1.25 1.01

1.25 1.25 1.26

1.2 1.17 1.14

2.96 2.52 2.07

1.16 0.98 0.794

1.05 1.06 1.07

6.01

2.28

1.23

1.37

2.85

1.34

0.845

5.02

1.87

1.24

1.32

2.4

1.1

0.858

4.52

1.68

1.25

1.3

2.18

0.992

0.871

3.94 3.36 2.75 3.63

1.44 1.22 0.988 1.48

1.26 1.27 1.27 1.05

1.27 1.25 1.22 1.05

1.89 1.62 1.33 3.63

0.851 0.721 0.585 1.48

0.873 0.88 0.887 1.05

3.25 2.86 2.44 2 3.45 3.1 2.73 2.33 1.92 3.24

1.32 1.15 0.969 0.787 1.45 1.29 1.12 0.951 0.773 1.41

1.06 1.07 1.08 1.09 1.07 1.08 1.09 1.09 1.1 1.08

1.03 1 0.979 0.954 1.12 1.09 1.07 1.05 1.02 1.2

3.25 2.86 2.44 2 2.32 2.09 1.84 1.58 1.3 1.36

1.32 1.15 0.969 0.787 1.09 0.971 0.847 0.718 0.585 0.756

1.06 1.07 1.08 1.09 0.877 0.885 0.892 0.9 0.908 0.701

2.91

1.26

1.09

1.18

1.23

0.677

0.711

2.56 2.2 1.81 2.2 1.98 1.75 1.5 1.23 0.948 2.07 1.87 1.65 1.41 1.16 0.899 1.92

1.09 0.925 0.753 1.06 0.946 0.825 0.699 0.569 0.433 1.03 0.921 0.803 0.681 0.555 0.423 1

1.1 1.11 1.12 0.895 0.903 0.91 0.918 0.926 0.933 0.91 0.917 0.924 0.932 0.94 0.947 0.922

1.15 1.13 1.1 0.929 0.907 0.884 0.86 0.836 0.812 0.995 0.972 0.949 0.925 0.9 0.874 1.08

1.09 0.937 0.775 2.2 1.98 1.75 1.5 1.23 0.948 1.29 1.17 1.03 0.888 0.734 0.568 0.667

0.589 0.501 0.41 1.06 0.946 0.825 0.699 0.569 0.433 0.736 0.656 0.573 0.487 0.397 0.303 0.47

0.716 0.723 0.731 0.895 0.903 0.91 0.918 0.926 0.933 0.718 0.724 0.731 0.739 0.746 0.753 0.543

1.73

0.894

0.932

1.06

0.609

0.424

0.553

1.54 1.32 1.09 0.847 1.22 0.972 0.837 0.692 0.535 0.914 0.79 0.656 0.511 0.476 0.414 0.346 0.271

0.779 0.662 0.541 0.414 0.716 0.558 0.474 0.387 0.295 0.546 0.465 0.381 0.293 0.348 0.298 0.244 0.188

0.937 0.945 0.953 0.961 0.735 0.749 0.756 0.764 0.771 0.766 0.774 0.782 0.79 0.591 0.598 0.605 0.612

1.03 1.01 0.98 0.952 0.803 0.758 0.735 0.711 0.687 0.826 0.803 0.779 0.754 0.632 0.609 0.586 0.561

0.539 0.467 0.39 0.305 1.22 0.972 0.837 0.692 0.535 0.513 0.446 0.372 0.292 0.476 0.414 0.346 0.271

0.368 0.314 0.258 0.198 0.716 0.558 0.474 0.387 0.295 0.361 0.309 0.253 0.195 0.348 0.298 0.244 0.188

0.555 0.562 0.569 0.577 0.735 0.749 0.756 0.764 0.771 0.574 0.581 0.589 0.597 0.591 0.598 0.605 0.612

0.189

0.129

0.62

0.534

0.189

0.129

0.62

0.227 0.179 0.139 0.11 0.077 0.061 0.032 0.022

0.186 0.144 0.134 0.104 0.091 0.071 0.04 0.031

0.529 0.537 0.449 0.457 0.369 0.377 0.345 0.304

0.529 0.506 0.466 0.444 0.403 0.381 0.327 0.296

0.227 0.179 0.139 0.11 0.077 0.061 0.032 0.022

0.186 0.144 0.134 0.104 0.091 0.071 0.04 0.031

0.529 0.537 0.449 0.457 0.369 0.377 0.345 0.304

on Manual (1989) x 0.858 0.834 0.81

rz 0.847 0.85 0.854

Tan 

2.4 2.36 2.31 2.26 2.21 2.19 2.17 1.65 1.6 1.56 1.51 1.49 1.46 1.44 1.04

1.56 1.56 1.57 1.57 1.58 1.58 1.59 1.28 1.28 1.29 1.29 1.3 1.3 1.31 0.844

0.216 0.218 0.22

J 1.06 0.782 0.557

Cw 4.787 3.531 2.509

ro(bar) 4.37 4.38 4.39

H -------

1 1 1 1 1 1 1 0.542 0.546 0.55 0.554 0.556 0.557 0.559 0.247

7.13 5.08 3.46 2.21 1.3 0.961 0.683 4.34 2.96 1.9 1.12 0.823 0.584 0.396 3.68

32.5 23.4 16.1 10.4 6.16 4.55 3.23 16.3 11.3 7.28 4.33 3.2 2.28 1.55 12.9

4.29 4.32 4.36 4.39 4.41 4.43 4.45 3.88 3.92 3.95 3.98 3.99 4.01 4.02 3.74

0.633 0.63 0.631 0.631 0.631 0.629 0.628 -----------------

0.997

0.846

0.252

2.51

8.89

3.78

---

0.949

0.85

0.257

1.61

5.75

3.81

---

0.902

0.856

0.262

0.955

3.42

3.83

---

0.878 0.854

0.859 0.863

0.264 0.266

0.704 0.501

2.53 1.8

3.84 3.86

-----

0.829

0.867

0.268

0.34

1.22

3.87

---

1 0.958 0.91

0.855 0.86 0.866

0.324 0.329 0.334

1.47 0.868 0.456

3.97 2.37 1.25

3.31 3.34 3.37

-------

0.886

0.869

0.337

0.31

0.851

3.39

---

0.861 1.86 1.81 1.77 1.72 1.7 1.67 1.65 1.62 1.6 1.12 1.07 1.03 1 0.981

0.873 1.17 1.17 1.17 1.17 1.18 1.18 1.18 1.19 1.19 0.854 0.856 0.859 0.861 0.864

0.339 1 1 1 1 1 1 1 1 1 0.422 0.428 0.435 0.438 0.441

0.198 3.68 2.51 1.61 0.955 0.704 0.501 0.34 0.218 0.129 2.03 1.31 0.775 0.572 0.407

0.544 9.24 6.41 4.17 2.5 1.85 1.32 0.899 0.575 0.338 4.04 2.64 1.59 1.18 0.843

3.4 3.19 3.21 3.25 3.28 3.29 3.3 3.32 3.33 3.35 2.83 2.85 2.89 2.89 2.91

--0.635 0.635 0.631 0.631 0.629 0.631 0.629 0.63 0.63 -----------

0.957 0.933 0.908 0.829 0.781 0.756 1.56 1.52 1.47 1.42 1.4 1.37 1.35 0.993 0.947 0.901

0.867 0.87 0.874 0.756 0.763 0.767 0.971 0.972 0.975 0.98 0.983 0.986 0.99 0.744 0.746 0.75

0.443 0.446 0.449 0.343 0.349 0.352 1 1 1 1 1 1 1 0.464 0.472 0.479

0.276 0.177 0.104 0.386 0.168 0.099 2.07 1.33 0.792 0.417 0.284 0.183 0.108 1.09 0.651 0.343

0.575 0.369 0.217 0.779 0.341 0.201 3.53 2.32 1.4 0.744 0.508 0.327 0.193 1.52 0.918 0.491

2.92 2.94 2.95 2.88 2.9 2.92 2.64 2.67 2.7 2.73 2.75 2.76 2.78 2.36 2.39 2.42

------------0.638 0.632 0.633 0.632 0.63 0.632 0.63 -------

0.883

0.758

0.482

0.238

0.33642

2.45

---

0.854 0.829 0.804

0.755 0.758 0.761

0.486 0.489 0.491

0.15 0.0883 0.0464

0.217 0.128 0.067

2.45 2.46 2.48

-------

0.796

0.644

0.349

0.61

0.83013

2.36

---

0.746 0.722 0.698 0.673 0.648 1.27 1.22 1.18 1.15 1.13 1.11 1.08 0.994

0.642 0.644 0.646 0.649 0.652 0.774 0.774 0.776 0.777 0.779 0.781 0.783 0.716

0.357 0.361 0.364 0.368 0.371 1 1 1 1 1 1 1 0.75

0.322 0.22 0.141 0.0832 0.0438 1.02 0.61 0.322 0.22 0.141 0.0832 0.0438 0.301

0.444 0.304 0.196 0.116 0.0606 1.12 0.68 0.366 0.252 0.162 0.0963 0.0505 0.302

2.38 2.4 2.41 2.42 2.43 2.1 2.13 2.16 2.17 2.19 2.21 2.22 2.03

--------0.637 0.636 0.63 0.633 0.629 0.627 0.63 ---

0.978

0.724

0.753

0.206

0.20794

2.06

---

0.947 0.923 0.897

0.719 0.721 0.723

0.755 0.757 0.759

0.132 0.0782 0.0412

0.134 0.0798 0.0419

2.06 2.08 2.08

-------

0.867

0.631

0.534

0.529

0.472

1.91

---

0.822

0.633

0.543

0.281

0.255

1.94

---

0.804

0.641

0.547

0.192

0.176

1.96

---

0.775 0.75 0.725 1.05

0.636 0.638 0.639 0.679

0.551 0.554 0.558 1

0.123 0.0731 0.0386 0.281

0.114 0.0676 0.0356 0.238

1.97 1.98 1.99 1.87

------0.634

---

1.03 1 0.979 0.954 0.869 0.846 0.823 0.798 0.773 0.701

0.681 0.683 0.685 0.688 0.618 0.62 0.622 0.624 0.628 0.532

1 1 1 1 0.713 0.717 0.72 0.722 0.725 0.485

0.192 0.123 0.0731 0.0386 0.26 0.178 0.114 0.068 0.036 0.234

0.164 0.106 0.0634 0.0334 0.191 0.132 0.0858 0.0512 0.027 0.159

1.89 1.9 1.92 1.93 1.75 1.76 1.78 1.79 1.81 1.67

0.631 0.634 0.632 0.632 -------------

0.682

0.535

0.491

0.16

0.10979

1.68

---

0.655 0.632 0.607 0.929 0.907 0.884 0.86 0.836 0.812 0.746 0.724 0.701 0.677 0.653 0.627 0.58

0.535 0.538 0.541 0.58 0.58 0.581 0.583 0.585 0.586 0.516 0.516 0.517 0.518 0.52 0.521 0.425

0.495 0.5 0.504 1 1 1 1 1 1 0.666 0.671 0.675 0.68 0.683 0.687 0.413

0.103 0.0611 0.0322 0.23 0.157 0.101 0.0597 0.0313 0.0136 0.213 0.146 0.0943 0.056 0.0296 0.013 0.192

0.0714 0.0426 0.0225 0.144 0.1 0.0652 0.039 0.0206 0.009 0.112 0.0777 0.0507 0.0304 0.0161 0.007 0.0908

1.69 1.71 1.72 1.59 1.61 1.62 1.63 1.65 1.66 1.46 1.48 1.49 1.51 1.52 1.53 1.39

------0.635 0.632 0.63 0.629 0.628 0.627 ---------------

0.561

0.429

0.421

0.132

0.06319

1.41

---

0.535 0.511 0.487 0.462 0.803 0.758 0.735 0.711 0.687 0.578 0.555 0.532 0.508 0.632 0.609 0.586 0.561

0.426 0.428 0.431 0.435 0.481 0.481 0.481 0.482 0.482 0.419 0.42 0.423 0.426 0.386 0.386 0.387 0.389

0.426 0.432 0.437 0.442 1 1 1 1 1 0.613 0.618 0.624 0.628 1 1 1 1

0.0855 0.051 0.027 0.0119 0.188 0.0833 0.0495 0.0261 0.0114 0.0746 0.0444 0.0235 0.0103 0.0658 0.0393 0.0209 0.0092

0.0413 0.0248 0.0132 0.0058 0.0791 0.0362 0.0218 0.0116 0.0051 0.0268 0.0162 0.0087 0.0038 0.0174 0.0106 0.0057 0.0025

1.42 1.44 1.45 1.46 1.3 1.33 1.35 1.36 1.38 1.21 1.23 1.25 1.26 1.04 1.06 1.08 1.09

--------0.639 0.633 0.632 0.629 0.628 --------0.638 0.635 0.633 0.632

0.534

0.391

1

0.0029

0.0008

1.1

0.633

0.529 0.506 0.466 0.444 0.403 0.381 0.327 0.296

0.341 0.343 0.292 0.293 0.243 0.244 0.221 0.196

1 1 1 1 1 1 1 1

0.01823 0.00769 0.01563 0.00659 0.01302 0.00549 0.00146 0.0013

0.00372 0.00166 0.00226 0.00102 0.00124 0.00057 0.00013 0.00009

0.941 0.957 0.798 0.814 0.654 0.668 0.617 0.545

0.631 0.629 0.635 0.63 0.639 0.63 0.632 0.633

Double Angle Section Properties from AISC V Shape

d

b

t

k

2L8x8x1-1/8 2L8x8x1 2L8x8x7/8 2L8x8x3/4 2L8x8x5/8

8 8 8 8 8

8 8 8 8 8

1.125 1 0.875 0.75 0.625

1.75 1.625 1.5 1.375 1.25

2L8x8x9/16

8

8

0.5625

1.1875

2L8x8x1/2 2L6x6x1 2L6x6x7/8 2L6x6x3/4 2L6x6x5/8

8 6 6 6 6

8 6 6 6 6

0.5 1 0.875 0.75 0.625

1.125

2L6x6x9/16

6

6

0.5625

2L6x6x1/2

6

6

0.5

2L6x6x7/16

6

6

0.4375

2L6x6x3/8

6

6

0.375

2L6x6x5/16

6

6

0.3125

2L5x5x7/8 2L5x5x3/4

5 5

5 5

0.875 0.75

1.5 1.375 1.25 1.125 1.0625 1 0.9375 0.875 0.8125 1.375 1.25 1.125 1 0.9375 0.875 0.8125

2L5x5x5/8

5

5

0.625

2L5x5x1/2

5

5

0.5

2L5x5x7/16

5

5

0.4375

2L5x5x3/8 2L5x5x5/16 2L4x4x3/4 2L4x4x5/8 2L4x4x1/2

5 5 4 4 4

5 5 4 4 4

0.375 0.3125 0.75 0.625 0.5

1.125 1 0.875

2L4x4x7/16

4

4

0.4375

0.8125

2L4x4x3/8 2L4x4x5/16 2L4x4x1/4

4 4 4

4 4 4

0.375 0.3125 0.25

0.75 0.6875 0.625

2L3-1/2x3-1/2x1/2 2L3-1/2x3-1/2x7/16

3.5 3.5

3.5 3.5

0.5 0.4375

0.875 0.8125

2L3-1/2x3-1/2x3/8 2L3-1/2x3-1/2x5/16 2L3-1/2x3-1/2x1/4 2L3x3x1/2

3.5 3.5 3.5 3

3.5 3.5 3.5 3

0.375 0.3125 0.25 0.5

0.75 0.6875 0.625 0.875

2L3x3x7/16

3

3

0.4375

0.8125

2L3x3x3/8 2L3x3x5/16 2L3x3x1/4 2L3x3x3/16

3 3 3 3

3 3 3 3

0.375 0.3125 0.25 0.1875

0.75 0.6875 0.625 0.5625

2L2-1/2x2-1/2x1/2

2.5

2.5

0.5

0.75

2L2-1/2x2-1/2x3/8

2.5

2.5

0.375

0.625

2L2-1/2x2-1/2x5/16 2L2-1/2x2-1/2x1/4 2L2-1/2x2-1/2x3/16 2L2x2x3/8 2L2x2x5/16 2L2x2x1/4 2L2x2x3/16 2L2x2x1/8 2L8x6x1LLBB

2.5 2.5 2.5 2 2 2 2 2 8

2.5 2.5 2.5 2 2 2 2 2 6

0.3125 0.25 0.1875 0.375 0.3125 0.25 0.1875 0.125 1

0.5625 0.5 0.4375 0.625 0.5625 0.5 0.4375 0.375 1.5

2L8x6x7/8LLBB

8

6

0.875

1.375

2L8x6x3/4LLBB

8

6

0.75

1.25

2L8x6x5/8LLBB 2L8x6x9/16LLBB

8 8

6 6

0.625 0.5625

1.125 1.0625

2L8x6x1/2LLBB

8

6

0.5

1

2L8x6x7/16LLBB

8

6

0.4375

2L8x4x1LLBB

8

4

1

2L8x4x7/8LLBB

8

4

0.875

2L8x4x3/4LLBB

8

4

0.75

2L8x4x5/8LLBB 2L8x4x9/16LLBB

8 8

4 4

0.625 0.5625

2L8x4x1/2LLBB

8

4

0.5

2L8x4x7/16LLBB

8

4

0.4375

0.9375 1.5 1.375 1.25 1.125 1.0625 1 0.9375

2L7x4x3/4LLBB

7

4

0.75

1.25

2L7x4x5/8LLBB

7

4

0.625

1.125

2L7x4x1/2LLBB

7

4

0.5

1

2L7x4x7/16LLBB

7

4

0.4375

0.9375

2L7x4x3/8LLBB

7

4

0.375

0.875

2L6x4x7/8LLBB

6

4

0.875

2L6x4x3/4LLBB 2L6x4x5/8LLBB

6 6

4 4

0.75 0.625

2L6x4x9/16LLBB

6

4

0.5625

2L6x4x1/2LLBB

6

4

0.5

2L6x4x7/16LLBB

6

4

0.4375

2L6x4x3/8LLBB

6

4

0.375

2L6x4x5/16LLBB 2L6x3-1/2x1/2LLBB

6 6

4 3.5

0.3125 0.5

1.375 1.25 1.125 1.0625 1 0.9375 0.875 0.8125 1

2L6x3-1/2x3/8LLBB 2L6x3-1/2x5/16LLBB 2L5x3-1/2x3/4LLBB

6 6 5

3.5 3.5 3.5

0.375 0.3125 0.75

0.875 0.8125 1.1875

2L5x3-1/2x5/8LLBB

5

3.5

0.625

1.0625

2L5x3-1/2x1/2LLBB 2L5x3-1/2x3/8LLBB

5 5

3.5 3.5

0.5 0.375

2L5x3-1/2x5/16LLBB 2L5x3-1/2x1/4LLBB

5 5

3.5 3.5

0.3125 0.25

0.9375 0.8125 0.75

2L5x3x1/2LLBB

5

3

0.5

0.6875

0.9375

2L5x3x7/16LLBB

5

3

0.4375

0.875

2L5x3x3/8LLBB 2L5x3x5/16LLBB 2L5x3x1/4LLBB 2L4x3-1/2x1/2LLBB 2L4x3-1/2x3/8LLBB 2L4x3-1/2x5/16LLBB 2L4x3-1/2x1/4LLBB

5 5 5 4 4 4 4

3 3 3 3.5 3.5 3.5 3.5

0.375 0.3125 0.25 0.5 0.375 0.3125 0.25

0.8125 0.75 0.6875 0.875 0.75 0.6875 0.625

2L4x3x5/8LLBB

4

3

0.625

1

2L4x3x1/2LLBB 2L4x3x3/8LLBB 2L4x3x5/16LLBB 2L4x3x1/4LLBB

4 4 4 4

3 3 3 3

0.5 0.375 0.3125 0.25

0.875 0.75 0.6875 0.625

2L3-1/2x3x1/2LLBB 2L3-1/2x3x7/16LLBB

3.5 3.5

3 3

0.5 0.4375

0.875 0.8125

2L3-1/2x3x3/8LLBB 2L3-1/2x3x5/16LLBB 2L3-1/2x3x1/4LLBB

3.5 3.5 3.5

3 3 3

0.375 0.3125 0.25

0.75 0.6875 0.625

2L3-1/2x2-1/2x1/2LLBB

3.5

2.5

0.5

0.875

2L3-1/2x2-1/2x3/8LLBB 2L3-1/2x2-1/2x5/16LLBB 2L3-1/2x2-1/2x1/4LLBB

3.5 3.5 3.5

2.5 2.5 2.5

0.375 0.3125 0.25

0.75 0.6875 0.625

2L3x2-1/2x1/2LLBB 2L3x2-1/2x7/16LLBB

3 3

2.5 2.5

0.5 0.4375

0.875 0.8125

2L3x2-1/2x3/8LLBB

3

2.5

0.375

0.75

2L3x2-1/2x5/16LLBB

3

2.5

0.3125

0.6875

2L3x2-1/2x1/4LLBB 2L3x2-1/2x3/16LLBB

3 3

2.5 2.5

0.25 0.1875

0.625 0.5625

2L3x2x1/2LLBB

3

2

0.5

0.8125

2L3x2x3/8LLBB 2L3x2x5/16LLBB 2L3x2x1/4LLBB 2L3x2x3/16LLBB 2L2-1/2x2x3/8LLBB 2L2-1/2x2x5/16LLBB 2L2-1/2x2x1/4LLBB 2L2-1/2x2x3/16LLBB 2L8x6x1SLBB

3 3 3 3 2.5 2.5 2.5 2.5 6

2 2 2 2 2 2 2 2 8

0.375 0.3125 0.25 0.1875 0.375 0.3125 0.25 0.1875 1

0.6875 0.625 0.5625 0.5 0.625 0.5625 0.5 0.4375 1.5

2L8x6x7/8SLBB

6

8

0.875

1.375

2L8x6x3/4SLBB

6

8

0.75

1.25

2L8x6x5/8SLBB 2L8x6x9/16SLBB

6 6

8 8

0.625 0.5625

1.125 1.0625

2L8x6x1/2SLBB

6

8

0.5

1

2L8x6x7/16SLBB

6

8

0.4375

2L8x4x1SLBB

4

8

1

0.9375 1.5

2L8x4x7/8SLBB

4

8

0.875

2L8x4x7/16SLBB

4

8

0.4375

1.375 1.25 1.125 1.0625 1 0.9375

2L8x4x3/4SLBB

4

8

0.75

2L8x4x5/8SLBB 2L8x4x9/16SLBB

4 4

8 8

0.625 0.5625

2L8x4x1/2SLBB

4

8

0.5

2L7x4x3/4SLBB

4

7

0.75

1.25

2L7x4x5/8SLBB

4

7

0.625

1.125

2L7x4x1/2SLBB

4

7

0.5

1

2L7x4x7/16SLBB

4

7

0.4375

0.9375

2L7x4x3/8SLBB

4

7

0.375

0.875

2L6x4x7/8SLBB

4

6

0.875

2L6x4x3/4SLBB 2L6x4x5/8SLBB

4 4

6 6

0.75 0.625

2L6x4x9/16SLBB

4

6

0.5625

2L6x4x1/2SLBB

4

6

0.5

2L6x4x7/16SLBB

4

6

0.4375

2L6x4x3/8SLBB

4

6

0.375

2L6x4x5/16SLBB 2L6x3-1/2x1/2SLBB

4 3.5

6 6

0.3125 0.5

1.375 1.25 1.125 1.0625 1 0.9375 0.875 0.8125 1

2L6x3-1/2x3/8SLBB 2L6x3-1/2x5/16SLBB 2L5x3-1/2x3/4SLBB

3.5 3.5 3.5

6 6 5

0.375 0.3125 0.75

0.875 0.8125 1.1875

2L5x3-1/2x5/8SLBB

3.5

5

0.625

1.0625

2L5x3-1/2x1/2SLBB 2L5x3-1/2x3/8SLBB 2L5x3-1/2x5/16SLBB

3.5 3.5 3.5

5 5 5

0.5 0.375 0.3125

0.9375 0.8125 0.75

2L5x3-1/2x1/4SLBB

3.5

5

0.25

0.6875

2L5x3x1/2SLBB

3

5

0.5

0.9375

2L5x3x7/16SLBB

3

5

0.4375

0.875

2L5x3x3/8SLBB 2L5x3x5/16SLBB 2L5x3x1/4SLBB 2L4x3-1/2x1/2SLBB 2L4x3-1/2x3/8SLBB 2L4x3-1/2x5/16SLBB 2L4x3-1/2x1/4SLBB

3 3 3 3.5 3.5 3.5 3.5

5 5 5 4 4 4 4

0.375 0.3125 0.25 0.5 0.375 0.3125 0.25

0.8125 0.75 0.6875 0.875 0.75 0.6875 0.625

2L4x3x5/8SLBB

3

4

0.625

1

2L4x3x1/2SLBB 2L4x3x3/8SLBB 2L4x3x5/16SLBB 2L4x3x1/4SLBB

3 3 3 3

4 4 4 4

0.5 0.375 0.3125 0.25

0.875 0.75 0.6875 0.625

2L3-1/2x3x1/2SLBB 2L3-1/2x3x7/16SLBB

3 3

3.5 3.5

0.5 0.4375

0.875 0.8125

2L3-1/2x3x3/8SLBB

3

3.5

0.375

0.75

2L3-1/2x3x5/16SLBB 2L3-1/2x3x1/4SLBB

3 3

3.5 3.5

0.3125 0.25

0.6875 0.625

2L3-1/2x2-1/2x1/2SLBB

2.5

3.5

0.5

0.875

2L3-1/2x2-1/2x3/8SLBB 2L3-1/2x2-1/2x5/16SLBB 2L3-1/2x2-1/2x1/4SLBB

2.5 2.5 2.5

3.5 3.5 3.5

0.375 0.3125 0.25

0.75 0.6875 0.625

2L3x2-1/2x1/2SLBB 2L3x2-1/2x7/16SLBB

2.5 2.5

3 3

0.5 0.4375

0.875 0.8125

2L3x2-1/2x3/8SLBB

2.5

3

0.375

0.75

2L3x2-1/2x5/16SLBB

2.5

3

0.3125

0.6875

2L3x2-1/2x1/4SLBB 2L3x2-1/2x3/16SLBB

2.5 2.5

3 3

0.25 0.1875

0.625 0.5625

2L3x2x1/2SLBB

2

3

0.5

0.8125

2L3x2x3/8SLBB 2L3x2x5/16SLBB 2L3x2x1/4SLBB 2L3x2x3/16SLBB 2L2-1/2x2x3/8SLBB 2L2-1/2x2x5/16SLBB 2L2-1/2x2x1/4SLBB 2L2-1/2x2x3/16SLBB

2 2 2 2 2 2 2 2

3 3 3 3 2.5 2.5 2.5 2.5

0.375 0.3125 0.25 0.1875 0.375 0.3125 0.25 0.1875

0.6875 0.625 0.5625 0.5 0.625 0.5625 0.5 0.4375

ction Properties from AISC Version 3.0 CD Database (2001) and AISC 9th Edition Manual (1989) wt./ft.

A

Ix

Sx

rx

y

ry(0)

114 103 90.6 78.4 66

33.6 30.2 26.6 23 19.4

196 178 159 140 119

35 31.6 28 24.4 20.6

2.41 2.43 2.45 2.46 2.48

2.4 2.36 2.31 2.26 2.21

3.41 3.39 3.36 3.34 3.32

59.7

17.5

108

18.7

2.49

2.19

3.31

53.3 75 66.4 57.6 48.5

15.7 22 19.5 16.9 14.3

97.5 70.8 63.8 56.2 48.2

16.7 17.1 15.2 13.3 11.3

2.49 1.79 1.81 1.82 1.84

2.17 1.86 1.81 1.77 1.72

3.3 2.58 2.56 2.54 2.52

43.9

12.9

44.1

10.2

1.85

1.7

2.51

39.3

11.5

39.7

9.18

1.86

1.67

2.5

34.6

10.2

35.3

8.11

1.86

1.65

2.49

29.8

8.76

30.7

7.01

1.87

1.62

2.48

25

7.34

26

5.9

1.88

1.6

2.47

54.6 47.5

16 14

35.5 31.5

10.3 9.04

1.49 1.5

1.56 1.52

2.16 2.13

40.1

11.8

27.2

7.7

1.52

1.47

2.11

32.6

9.58

22.5

6.29

1.53

1.42

2.09

28.7

8.44

20.1

5.57

1.54

1.4

2.08

24.8 20.9 37 31.3 25.5

7.3 6.13 10.9 9.21 7.49

17.5 14.9 15.2 13.2 11

4.83 4.07 5.58 4.77 3.91

1.55 1.56 1.18 1.2 1.21

1.37 1.35 1.27 1.22 1.18

2.07 2.06 1.73 1.71 1.69

22.5

6.61

9.87

3.47

1.22

1.15

1.68

19.4 16.3 13.2

5.71 4.8 3.87

8.64 7.35 6

3.01 2.54 2.05

1.23 1.24 1.25

1.13 1.11 1.08

1.67 1.66 1.65

22.2 19.6

6.53 5.77

7.25 6.51

2.96 2.63

1.05 1.06

1.05 1.03

1.49 1.48

17 14.3 11.6 18.7

5 4.21 3.41 5.5

5.72 4.89 4.01 4.41

2.29 1.94 1.57 2.13

1.07 1.08 1.09 0.895

1 0.979 0.954 0.929

1.47 1.46 1.44 1.29

16.6

4.86

3.96

1.89

0.903

0.907

1.28

14.3 12.1 9.77 7.41

4.22 3.55 2.87 2.18

3.49 2.99 2.46 1.9

1.65 1.4 1.14 0.867

0.91 0.918 0.926 0.933

0.884 0.86 0.836 0.812

1.27 1.26 1.25 1.24

15.3

4.5

2.43

1.43

0.735

0.803

1.09

11.8

3.47

1.94

1.12

0.749

0.758

1.07

9.96 8.07 6.13 9.3 7.89 6.43 4.91 3.34 88.8

2.93 2.37 1.8 2.73 2.32 1.89 1.44 0.982 26.1

1.67 1.38 1.07 0.953 0.828 0.691 0.541 0.377 162

0.949 0.773 0.59 0.696 0.595 0.489 0.376 0.257 30.2

0.756 0.764 0.771 0.591 0.598 0.605 0.612 0.62 2.49

0.735 0.711 0.687 0.632 0.609 0.586 0.561 0.534 2.65

1.05 1.04 1.03 0.865 0.853 0.842 0.831 0.818 2.39

78.5

23.1

145

26.8

2.5

2.6

2.37

68

20

127

23.3

2.52

2.55

2.35

57.3 51.8

16.8 15.2

108 98.7

19.7 17.9

2.54 2.55

2.5 2.48

2.33 2.32

46.3

13.6

88.8

16

2.55

2.46

2.31

40.7

12

78.7

14.1

2.56

2.43

2.3

75.2

22.1

139

28.1

2.51

3.03

1.46

66.6

19.6

125

25

2.53

2.99

1.44

57.8

17

110

21.7

2.55

2.94

1.42

48.7 44.1

14.3 13

94.1 85.7

18.4 16.7

2.56 2.57

2.89 2.86

1.39 1.38

39.5

11.6

77.2

15

2.58

2.84

1.38

34.8

10.2

68.5

13.2

2.59

2.81

1.37

52.4

15.4

75.6

16.8

2.21

2.5

1.48

44.2

13

64.7

14.2

2.23

2.45

1.45

35.8

10.5

53.3

11.6

2.25

2.4

1.44

31.5

9.27

47.3

10.2

2.26

2.38

1.43

27.2

8

41.1

8.83

2.27

2.35

1.42

54.3

16

55.4

14.3

1.86

2.12

1.57

47.2 39.9

13.9 11.7

48.9 42

12.5 10.6

1.88 1.89

2.07 2.03

1.55 1.53

36.1

10.6

38.4

9.61

1.9

2

1.52

32.3

9.5

34.7

8.63

1.91

1.98

1.51

28.5

8.36

30.8

7.62

1.92

1.95

1.5

24.6

7.22

26.8

6.59

1.93

1.93

1.49

20.6 30.7

6.05 9.04

22.7 33.2

5.55 8.45

1.94 1.92

1.9 2.07

1.48 1.27

23.4 19.7 39.6

6.88 5.78 11.6

25.7 21.8 27.8

6.47 5.45 8.52

1.93 1.94 1.55

2.02 2 1.74

1.26 1.25 1.39

33.5

9.85

24

7.26

1.56

1.69

1.37

27.2 20.8

8.01 6.1

19.9 15.5

5.94 4.56

1.58 1.59

1.65 1.6

1.35 1.33

17.4 14.1

5.12 4.13

13.2 10.7

3.84 3.1

1.6 1.61

1.57 1.55

1.32 1.31

25.5

7.51

18.9

5.79

1.58

1.74

1.11

22.5

6.62

16.8

5.12

1.59

1.72

1.1

19.5 16.4 13.2 23.8 18.2 15.3 12.4

5.73 4.81 3.88 7.01 5.35 4.5 3.63

14.7 12.5 10.2 10.6 8.3 7.07 5.78

4.44 3.74 3.03 3.84 2.96 2.5 2.02

1.6 1.61 1.62 1.23 1.25 1.25 1.26

1.69 1.67 1.64 1.24 1.2 1.17 1.14

1.09 1.08 1.07 1.44 1.42 1.4 1.39

27.1

7.98

12

4.56

1.23

1.37

1.21

22.1 16.9 14.2 11.5

6.51 4.98 4.19 3.38

10 7.88 6.72 5.49

3.75 2.89 2.44 1.98

1.24 1.26 1.27 1.27

1.32 1.27 1.25 1.22

1.19 1.17 1.16 1.15

20.6 18.2

6.04 5.34

6.91 6.2

2.9 2.58

1.07 1.08

1.12 1.09

1.23 1.22

15.8 13.3 10.8

4.63 3.91 3.16

5.45 4.67 3.84

2.24 1.9 1.55

1.09 1.09 1.1

1.07 1.05 1.02

1.21 1.2 1.19

18.8

5.53

6.48

2.82

1.08

1.2

0.992

14.5 12.2 9.88

4.25 3.58 2.9

5.13 4.39 3.61

2.18 1.85 1.51

1.1 1.11 1.12

1.15 1.13 1.1

0.97 0.96 0.95

17.1 15.1

5.01 4.44

4.15 3.73

2.07 1.84

0.91 0.917

0.995 0.972

1.04 1.02

13.1

3.86

3.3

1.61

0.924

0.949

1.01

11.1

3.25

2.83

1.36

0.932

0.925

1

8.97 6.82

2.64 2

2.33 1.8

1.11 0.846

0.94 0.947

0.9 0.874

0.991 0.98

15.4

4.53

3.85

2

0.922

1.08

0.795

11.9 10.1 8.18 6.24 10.6 8.97 7.3 5.57 88.8

3.5 2.96 2.4 1.83 3.11 2.64 2.14 1.64 26.1

3.07 2.64 2.18 1.69 1.83 1.58 1.31 1.02 77.6

1.56 1.32 1.08 0.828 1.09 0.931 0.762 0.585 17.8

0.937 0.945 0.953 0.961 0.766 0.774 0.782 0.79 1.72

1.03 1.01 0.98 0.952 0.826 0.803 0.779 0.754 1.65

0.771 0.76 0.749 0.739 0.815 0.804 0.794 0.784 3.63

78.5

23.1

69.8

15.9

1.74

1.6

3.61

68

20

61.5

13.8

1.75

1.56

3.59

57.3 51.8

16.8 15.2

52.8 48.2

11.8 10.7

1.77 1.78

1.51 1.49

3.57 3.55

46.3

13.6

43.5

9.58

1.79

1.46

3.54

40.7

12

38.6

8.46

1.8

1.44

3.53

75.2

22.1

23.3

7.87

1.03

1.04

3.94

66.6

19.6

21.1

7.02

1.04

0.997

3.91

57.8

17

18.7

6.14

1.05

0.949

3.89

48.7 44.1

14.3 13

16.2 14.9

5.23 4.77

1.06 1.07

0.902 0.878

3.86 3.85

39.5

11.6

13.5

4.29

1.08

0.854

3.83

34.8

10.2

12.1

3.81

1.09

0.829

3.82

52.4

15.4

18

6.01

1.08

1

3.34

44.2

13

15.6

5.12

1.1

0.958

3.31

35.8

10.5

13

4.2

1.11

0.91

3.29

31.5

9.27

11.6

3.72

1.12

0.886

3.28

27.2

8

10.1

3.22

1.12

0.861

3.26

54.3

16

19.4

6.74

1.1

1.12

2.82

47.2 39.9

13.9 11.7

17.3 15

5.9 5.03

1.12 1.13

1.07 1.03

2.8 2.77

36.1

10.6

13.7

4.58

1.14

1

2.76

32.3

9.5

12.4

4.12

1.14

0.981

2.75

28.5

8.36

11.1

3.65

1.15

0.957

2.74

24.6

7.22

9.72

3.17

1.16

0.933

2.73

20.6 30.7

6.05 9.04

8.26 8.47

2.67 3.17

1.17 0.968

0.908 0.829

2.72 2.82

23.4 19.7 39.6

6.88 5.78 11.6

6.65 5.68 11

2.45 2.07 4.4

0.984 0.991 0.974

0.781 0.756 0.993

2.8 2.78 2.33

33.5

9.85

9.6

3.76

0.987

0.947

2.3

27.2 20.8 17.4

8.01 6.1 5.12

8.04 6.31 5.38

3.09 2.38 2.01

1 1.02 1.02

0.901 0.854 0.829

2.28 2.26 2.25

14.1

4.13

4.4

1.63

1.03

0.804

2.23

25.5

7.51

5.1

2.26

0.824

0.746

2.35

22.5

6.62

4.58

2.01

0.831

0.722

2.34

19.5 16.4 13.2 23.8 18.2 15.3 12.4

5.73 4.81 3.88 7.01 5.35 4.5 3.63

4.02 3.44 2.82 7.53 5.92 5.05 4.13

1.75 1.48 1.2 3 2.32 1.96 1.59

0.838 0.846 0.853 1.04 1.05 1.06 1.07

0.698 0.673 0.648 0.994 0.947 0.923 0.897

2.33 2.32 2.3 1.75 1.73 1.72 1.7

27.1

7.98

5.7

2.67

0.845

0.867

1.84

22.1 16.9 14.2 11.5

6.51 4.98 4.19 3.38

4.79 3.79 3.24 2.66

2.2 1.7 1.44 1.17

0.858 0.873 0.88 0.887

0.822 0.775 0.75 0.725

1.81 1.79 1.78 1.76

20.6 18.2

6.04 5.34

4.65 4.18

2.18 1.94

0.877 0.885

0.869 0.846

1.55 1.54

15.8

4.63

3.69

1.69

0.892

0.823

1.52

13.3 10.8

3.91 3.16

3.16 2.61

1.44 1.17

0.9 0.908

0.798 0.773

1.51 1.5

18.8

5.53

2.72

1.51

0.701

0.701

1.62

14.5 12.2 9.88

4.25 3.58 2.9

2.17 1.87 1.55

1.18 1 0.819

0.716 0.723 0.731

0.655 0.632 0.607

1.59 1.58 1.57

17.1 15.1

5.01 4.44

2.58 2.33

1.47 1.31

0.718 0.724

0.746 0.724

1.35 1.34

13.1

3.86

2.06

1.15

0.731

0.701

1.32

11.1

3.25

1.78

0.974

0.739

0.677

1.31

8.97 6.82

2.64 2

1.47 1.14

0.794 0.606

0.746 0.753

0.653 0.627

1.3 1.29

15.4

4.53

1.33

0.94

0.543

0.58

1.42

11.9 10.1 8.18 6.24 10.6 8.97 7.3 5.57

3.5 2.96 2.4 1.83 3.11 2.64 2.14 1.64

1.08 0.935 0.779 0.61 1.03 0.891 0.744 0.583

0.736 0.628 0.515 0.396 0.722 0.617 0.507 0.391

0.555 0.562 0.569 0.577 0.574 0.581 0.589 0.597

0.535 0.511 0.487 0.462 0.578 0.555 0.532 0.508

1.39 1.38 1.37 1.35 1.13 1.12 1.1 1.09

al (1989)

Rectang ry(3/8)

ry(3/4)

ro(bar)

H

3.54 3.52 3.5 3.47 3.45

3.68 3.66 3.63 3.61 3.58

4.56 4.56 4.56 4.56 4.56

0.837 0.834 0.831 0.829 0.826

3.44

3.57

4.56

0.825

3.43 2.72 2.7 2.67 2.65

3.56 2.86 2.84 2.81 2.79

4.56 3.42 3.42 3.42 3.42

0.824 0.843 0.839 0.835 0.831

2.64

2.78

3.42

0.829

2.63

2.76

3.42

0.827

2.62

2.75

3.42

0.826

2.6

2.74

3.42

0.824

2.59

2.72

3.42

0.823

2.3 2.27

2.44 2.41

2.85 2.85

0.845 0.84

2.25

2.39

2.85

0.835

2.22

2.36

2.85

0.83

2.21

2.35

2.85

0.828

2.2 2.19 1.88 1.85 1.83

2.34 2.32 2.03 2 1.97

2.84 2.84 2.28 2.28 2.28

0.826 0.825 0.847 0.841 0.834

1.81

1.96

2.28

0.832

1.8 1.79 1.78

1.94 1.93 1.91

2.28 2.28 2.28

0.829 0.826 0.824

1.63 1.61

1.77 1.76

1.99 1.99

0.838 0.835

1.6 1.59 1.57 1.43

1.74 1.73 1.72 1.58

1.99 1.99 1.99 1.71

0.832 0.829 0.826 0.842

1.42

1.57

1.71

0.838

1.41 1.39 1.38 1.37

1.55 1.54 1.52 1.51

1.71 1.71 1.71 1.71

0.834 0.83 0.827 0.823

1.23

1.39

1.43

0.85

1.21

1.36

1.42

0.839

Shape HSS32x32x5/8 HSS32x32x1/2 HSS32x32x3/8 HSS30x30x5/8 HSS30x30x1/2 HSS30x30x3/8 HSS28x28x5/8 HSS28x28x1/2 HSS28x28x3/8 HSS26x26x5/8 HSS26x26x1/2 HSS26x26x3/8 HSS24x24x5/8 HSS24x24x1/2 HSS24x24X3/8 HSS22x22x5/8 HSS22x22x1/2 HSS22x22x3/8 HSS20x20x5/8 HSS20x20x1/2 HSS20x20x3/8 HSS18x18x5/8 HSS18x18x1/2 HSS18x18x3/8

HSS16x16x5/8 HSS16x16x1/2 HSS16x16x3/8 HSS16x16x5/16 HSS14x14x5/8 HSS14x14x1/2 HSS14x14x3/8 HSS14x14x5/16 HSS12x12x5/8 HSS12x12x1/2 HSS12x12x3/8 HSS12x12x5/16 HSS12x12x1/4 HSS10x10x5/8 HSS10x10x1/2 HSS10x10x3/8 HSS10x10x5/16 HSS10x10x1/4 HSS10x10x3/16

1.19 1.18 1.17 1.01 0.996 0.982 0.967 0.951 2.52

1.34 1.33 1.31 1.17 1.15 1.14 1.12 1.1 2.66

1.42 1.42 1.42 1.14 1.14 1.13 1.13 1.13 4.06

0.834 0.829 0.825 0.847 0.841 0.835 0.83 0.826 0.721

2.5

2.63

4.07

0.718

2.47

2.61

4.07

0.714

2.45 2.44

2.59 2.58

4.08 4.09

0.712 0.71

2.43

2.56

4.09

0.709

2.42

2.55

4.09

0.708

1.6

1.75

3.86

0.568

1.57

1.72

3.87

0.566

1.55

1.69

3.88

0.564

1.52 1.51

1.66 1.65

3.89 3.9

0.562 0.562

1.5

1.63

3.9

0.561

1.49

1.62

3.91

0.561

1.61

1.75

3.41

0.611

1.58

1.73

3.42

0.608

1.56

1.7

3.43

0.606

1.55

1.68

3.43

0.605

1.54

1.67

3.44

0.605

1.71

1.86

2.96

0.678

1.68 1.66

1.83 1.8

2.97 2.98

0.673 0.669

1.65

1.79

2.98

0.667

1.64

1.77

2.99

0.665

1.62

1.76

2.99

0.663

1.61

1.75

2.99

0.662

1.6 1.4

1.74 1.54

3 2.94

0.661 0.615

1.38 1.37 1.53

1.52 1.5 1.68

2.95 2.95 2.49

0.613 0.612 0.699

1.5

1.65

2.49

0.693

1.48 1.46

1.62 1.59

2.5 2.51

0.688 0.683

1.44 1.43

1.58 1.57

2.51 2.52

0.682 0.68

1.24

1.39

2.44

0.628

HSS8x8x5/8 HSS8x8x1/2 HSS8x8x3/8 HSS8x8x5/16 HSS8x8x1/4 HSS8x8x3/16 HSS7x7x5/8 HSS7x7x1/2 HSS7x7x3/8 HSS7x7x5/16 HSS7x7x1/4 HSS7x7x3/16 HSS6x6x5/8

HSS6x6x1/2 HSS6x6x3/8 HSS6x6x5/16 HSS6x6x1/4 HSS6x6x3/16 HSS6x6x1/8 HSS5.5x5.5x3/8 HSS5.5x5.5x5/16 HSS5.5x5.5x1/4 HSS5.5x5.5x3/16 HSS5.5x5.5x1/8 HSS5x5x1/2 HSS5x5x3/8 HSS5x5x5/16 HSS5x5x1/4 HSS5x5x3/16 HSS5x5x1/8 HSS4.5x4.5x1/2 HSS4.5x4.5x3/8 HSS4.5x4.5x5/16 HSS4.5x4.5x1/4 HSS4.5x4.5x3/16 HSS4.5x4.5x1/8 HSS4x4x1/2 HSS4x4x3/8 HSS4x4x5/16 HSS4x4x1/4 HSS4x4x3/16 HSS4x4x1/8 HSS3.5x3.5x3/8 HSS3.5x3.5x5/16 HSS3.5x3.5x1/4

1.23

1.38

2.45

0.626

1.22 1.21 1.19 1.57 1.55 1.53 1.52

1.36 1.35 1.33 1.72 1.69 1.68 1.66

2.45 2.46 2.46 2.14 2.14 2.14 2.14

0.624 0.623 0.622 0.784 0.778 0.775 0.773

1.35

1.5

2.02

0.728

1.32 1.3 1.29 1.27

1.47 1.44 1.43 1.41

2.02 2.03 2.03 2.03

0.721 0.715 0.712 0.71

1.37 1.36

1.52 1.51

1.85 1.85

0.78 0.776

1.35 1.33 1.32

1.49 1.48 1.46

1.85 1.85 1.85

0.773 0.77 0.767

1.13

1.28

1.75

0.706

1.11 1.09 1.08

1.25 1.24 1.22

1.75 1.76 1.76

0.698 0.695 0.693

1.18 1.16

1.33 1.32

1.57 1.57

0.774 0.769

1.15

1.3

1.57

0.764

1.14

1.29

1.57

0.76

1.12 1.11

1.27 1.25

1.57 1.57

0.756 0.753

0.94

1.1

1.47

0.684

0.911 0.897 0.883 0.869 0.957 0.943 0.93 0.916 3.77

1.07 1.05 1.03 1.02 1.11 1.1 1.08 1.07 3.91

1.48 1.48 1.48 1.49 1.29 1.29 1.29 1.29 4.18

0.675 0.671 0.668 0.666 0.754 0.748 0.744 0.74 0.924

3.75

3.89

4.17

0.922

3.72

3.86

4.17

0.919

3.7 3.69

3.84 3.83

4.16 4.15

0.917 0.916

3.68

3.81

4.15

0.915

3.66

3.8

4.15

0.913

4.08

4.23

4.11

0.983

HSS3.5x3.5x3/16 HSS3.5x3.5x1/8 HSS3x3x3/8 HSS3x3x5/16 HSS3x3x1/4 HSS3x3x3/16 HSS3x3x1/8 HSS2.5x2.5x5/16 HSS2.5x2.5x1/4 HSS2.5x2.5x3/16 HSS2.5x2.5x1/8 HSS2.25x2.25x1/4 HSS2.25x2.25x3/16 HSS2.25x2.25x1/8 HSS2x2x1/4 HSS2x2x3/16 HSS2x2x1/8 HSS1.75x1.75x3/16 HSS1.625x1.625x3/16 HSS1.625x1.625x1/8 HSS1.5x1.5x3/16 HSS1.5x1.5x1/8 HSS1.25x1.25x3/16 HSS1.25x1.25x1/8 HSS32x24x5/8 HSS32x24x1/2 HSS32x24x3/8 HSS30x24x5/8 HSS30x24x1/2 HSS30x24x3/8 HSS28x24x5/8 HSS28x24x1/2 HSS28x24x3/8 HSS26x24x5/8 HSS26x24x1/2 HSS26x24x3/8 HSS24x22x5/8 HSS24x22x1/2 HSS24x22x3/8 HSS22x20x5/8 HSS22x20x1/2 HSS22x20x3/8 HSS20x18x5/8 HSS20x18x1/2 HSS20x18x3/8

4.06

4.21

4.09

0.981

4.03

4.18

4.07

0.98

4 3.99

4.15 4.13

4.05 4.04

0.979 0.978

3.97

4.12

4.03

0.978

3.96

4.1

4.02

0.977

3.48

3.63

3.57

0.969

3.46

3.6

3.55

0.967

3.43

3.57

3.53

0.965

3.42

3.56

3.53

0.964

3.4

3.54

3.52

0.963

2.96

3.11

3.1

0.952

2.94 2.91

3.08 3.06

3.09 3.08

0.949 0.946

2.9

3.04

3.07

0.945

2.89

3.03

3.07

0.943

2.88

3.02

3.06

0.942

2.86

3

3.06

0.94

2.85 2.96

2.99 3.11

3.05 3.04

0.939 0.964

2.94 2.92 2.47

3.08 3.06 2.62

3.02 3.02 2.6

0.962 0.96 0.943

2.45

2.59

2.59

0.94

2.42 2.39 2.38

2.57 2.54 2.52

2.58 2.56 2.56

0.936 0.933 0.931

2.37

2.51

2.55

0.929

2.5

2.64

2.54

0.962

2.48

2.63

2.54

0.961

2.47 2.46 2.44 1.89 1.86 1.85 1.83

2.62 2.6 2.58 2.03 2 1.99 1.97

2.53 2.52 2.51 2.16 2.16 2.16 2.15

0.959 0.958 0.957 0.882 0.876 0.874 0.871

1.98

2.13

2.1

0.93

1.95 1.93 1.91 1.9

2.1 2.07 2.06 2.04

2.09 2.08 2.07 2.06

0.925 0.92 0.918 0.915

1.69 1.67

1.84 1.82

1.88 1.88

0.892 0.889

1.66

1.81

1.88

0.885

HSS20x16x5/8 HSS20x16x1/2 HSS20x16x3/8

HSS20x12x5/8 HSS20x12x1/2 HSS20x12x3/8 HSS20x12x5/16 HSS20x8x5/8 HSS20x8x1/2 HSS20x8x3/8 HSS20x8x5/16 HSS20x4x1/2 HSS20x4x3/8 HSS20x4x5/16 HSS18x12x5/8 HSS18x12x1/2 HSS18x12x3/8

HSS18x6x5/8 HSS18x6x1/2 HSS18x6x3/8 HSS18x6x5/16 HSS18x6x1/4 HSS16x12x5/8 HSS16x12x1/2 HSS16x12x3/8 HSS16x12x5/16 HSS16x8x5/8 HSS16x8x1/2 HSS16x8x3/8 HSS16x8x5/16 HSS16x4x1/2 HSS16x4x3/8 HSS16x4x5/16 HSS14x12x1/2 HSS14x12x3/8 HSS14x10x5/8 HSS14x10x1/2 HSS14x10x3/8 HSS14x10x5/16 HSS14x10x1/4 HSS14x6x5/8 HSS14x6x1/2 HSS14x6x3/8 HSS14x6x5/16 HSS14x6x1/4

1.65 1.63

1.79 1.78

1.87 1.87

0.883 0.88

1.76

1.91

1.82

0.938

1.73 1.72 1.7

1.88 1.87 1.85

1.81 1.8 1.8

0.933 0.93 0.928

1.49 1.48

1.64 1.63

1.61 1.6

0.905 0.901

1.46

1.61

1.6

0.897

1.45

1.6

1.59

0.893

1.44 1.42

1.58 1.57

1.59 1.58

0.89 0.887

1.56

1.72

1.55

0.955

1.54 1.52 1.51 1.49 1.27 1.26 1.24 1.23

1.69 1.67 1.66 1.64 1.42 1.41 1.39 1.38

1.54 1.53 1.52 1.52 1.32 1.32 1.32 1.31

0.949 0.946 0.944 0.941 0.913 0.909 0.904 0.901

HSS14x6x3/16 HSS14x4x5/8 HSS14x4x1/2 HSS14x4x3/8 HSS14x4x5/16 HSS14x4x1/4 HSS14x4x3/16 HSS12x10x1/2 HSS12x10x3/8 HSS12x10x5/16 HSS12x10x1/4 HSS12x8x5/8 HSS12x8x1/2 HSS12x8x3/8 HSS12x8x5/16 HSS12x8x1/4 HSS12x8x3/16 HSS12x6x5/8 HSS12x6x1/2 HSS12x6x3/8 HSS12x6x5/16 HSS12x6x1/4 HSS12x6x3/16 HSS12x4x5/8 HSS12x4x1/2 HSS12x4x3/8 HSS12x4x5/16 HSS12x4x1/4 HSS12x4x3/16 HSS12x3.5x3/8 HSS12x3.5x5/16 HSS12x3x5/16 HSS12x3x1/4 HSS12x3x3/16 HSS12x2x1/4 HSS12x2x3/16 HSS10x8x1/2 HSS10x8x3/8 HSS10x8x5/16 HSS10x8x1/4 HSS10x8x3/16 HSS10x6x5/8 HSS10x6x1/2 HSS10x6x3/8 HSS10x6x5/16

HSS10x6x1/4 HSS10x6x3/16 HSS10x5x3/8 HSS10x5x5/16 HSS10x5x1/4 HSS10x5x3/16 HSS10x4x5/8 HSS10x4x1/2 HSS10x4x3/8 HSS10x4x5/16 HSS10x4x1/4 HSS10x4x3/16 HSS10x3.5x3/16 HSS10x3x3/8 HSS10x3x5/16 HSS10x3x1/4 HSS10x3x3/16 HSS10x3x1/8 HSS10x2x3/8 HSS10x2x5/16 HSS10x2x1/4 HSS10x2x3/16 HSS9x7x5/8 HSS9x7x1/2 HSS9x7x3/8 HSS9x7x5/16 HSS9x7x1/4 HSS9x7x3/16 HSS9x5x5/8 HSS9x5x1/2 HSS9x5x3/8 HSS9x5x5/16 HSS9x5x1/4 HSS9x5x3/16 HSS9x3x1/2 HSS9x3x3/8 HSS9x3x5/16 HSS9x3x1/4 HSS9x3x3/16 HSS8x6x5/8 HSS8x6x1/2 HSS8x6x3/8 HSS8x6x5/16 HSS8x6x1/4 HSS8x6x3/16

HSS8x4x5/8 HSS8x4x1/2 HSS8x4x3/8 HSS8x4x5/16 HSS8x4x1/4 HSS8x4x3/16 HSS8x4x1/8 HSS8x3x1/2 HSS8x3x3/8 HSS8x3x5/16 HSS8x3x1/4 HSS8x3x3/16 HSS8x3x1/8 HSS8x2x3/8 HSS8x2x5/16 HSS8x2x1/4 HSS8x2x3/16 HSS8x2x1/8 HSS7x5x5/8 HSS7x5x1/2 HSS7x5x3/8 HSS7x5x5/16 HSS7x5x1/4 HSS7x5x3/16 HSS7x5x1/8 HSS7x4x1/2 HSS7x4x3/8 HSS7x4x5/16 HSS7x4x1/4 HSS7x4x3/16 HSS7x4x1/8 HSS7x3x1/2 HSS7x3x3/8 HSS7x3x5/16 HSS7x3x1/4 HSS7x3x3/16 HSS7x3x1/8 HSS6x5x3/8 HSS6x5x5/16 HSS6x5x1/4 HSS6x5x3/16 HSS6x4x1/2 HSS6x4x3/8 HSS6x4x5/16 HSS6x4x1/4

HSS6x4x3/16 HSS6x4x1/8 HSS6x3x1/2 HSS6x3x3/8 HSS6x3x5/16 HSS6x3x1/4 HSS6x3x3/16 HSS6x3x1/8 HSS6x2x3/8 HSS6x2x5/16 HSS6x2x1/4 HSS6x2x3/16 HSS6x2x1/8 HSS5x4x1/2 HSS5x4x3/8 HSS5x4x5/16 HSS5x4x1/4 HSS5x4x3/16 HSS5x3x1/2 HSS5x3x3/8 HSS5x3x5/16 HSS5x3x1/4 HSS5x3x3/16 HSS5x3x1/8 HSS5x2.5x1/4 HSS5x2.5x3/16 HSS5x2.5x1/8 HSS5x2x3/8 HSS5x2x5/16 HSS5x2x1/4 HSS5x2x3/16 HSS5x2x1/8 HSS4x3x3/8 HSS4x3x5/16 HSS4x3x1/4 HSS4x3x3/16 HSS4x3x1/8 HSS4x2.5x5/16 HSS4x2.5x1/4 HSS4x2.5x3/16 HSS4x2x3/8 HSS4x2x5/16 HSS4x2x1/4 HSS4x2x3/16 HSS4x2x1/8

HSS3.5x2.5x3/8 HSS3.5x2.5x5/16 HSS3.5x2.5x1/4 HSS3.5x2.5x3/16 HSS3.5x2.5x1/8 HSS3x2.5x5/16 HSS3x2.5x1/4 HSS3x2.5x3/16 HSS3x2.5x1/8 HSS3x2x5/16 HSS3x2x1/4 HSS3x2x3/16 HSS3x2x1/8 HSS3x1.5x1/4 HSS3x1.5x3/16 HSS3x1.5x1/8 HSS3x1x1/8 HSS2.5x1.5x1/4 HSS2.5x1.5x3/16 HSS2.5x1.5x1/8 HSS2x1.5x3/16 HSS2x1x3/16 HSS2x1x1/8

Rectangular HSS (Tube) Section Properties from AISC Version 3.0 CD Database (2001) and AISC H 32 32 32 30 30 30 28 28 28 26 26 26 24 24 24 22 22 22 20 20 20 18 18 18

B 32 32 32 30 30 30 28 28 28 26 26 26 24 24 24 22 22 22 20 20 20 18 18 18

t 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375

wt./ft. 259.83 210.72 159.37 242.82 197.11 149.16 225.8 183.5 138.95 208.79 169.89 128.74 191.78 156.28 118.53 174.76 142.67 108.32 157.75 129.06 98.12 140.73 115.45 87.91

A 76.4 61.9 46.8 71.4 57.9 43.8 66.4 53.9 40.8 61.4 49.9 37.8 56.4 45.9 34.8 51.4 41.9 31.8 46.4 37.9 28.8 41.4 33.9 25.8

Ix 12300 10100 7750 10100 8320 6370 8140 6730 5150 6460 5350 4110 5030 4170 3210 3820 3190 2460 2830 2370 1830 2020 1700 1320

Sx 771 634 485 673 555 424 582 480 368 497 411 316 419 348 268 347 290 223 283 237 183 224 189 147

16 16 16 16 14 14 14 14 12 12 12 12 12 10 10 10 10 10 10

16 16 16 16 14 14 14 14 12 12 12 12 12 10 10 10 10 10 10

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

127 103 78.4 65.8 110 89.6 68.2 57.3 93.1 75.9 58 48.8 39.4 76.1 62.3 47.8 40.3 32.6 24.7

35 28.3 21.5 18.1 30.3 24.6 18.7 15.7 25.7 20.9 16 13.4 10.8 21 17.2 13.2 11.1 8.96 6.76

1370 1130 873 739 897 743 577 490 548 457 357 304 248 304 256 202 172 141 108

171 141 109 92.3 128 106 82.5 69.9 91.4 76.2 59.5 50.7 41.4 60.8 51.2 40.4 34.5 28.3 21.6

8 8 8 8 8 8 7 7 7 7 7 7

8 8 8 8 8 8 7 7 7 7 7 7

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

59.1 48.7 37.6 31.8 25.8 19.6 50.6 41.9 32.5 27.5 22.4 17.1

16.4 13.5 10.4 8.76 7.1 5.37 14 11.6 8.97 7.59 6.17 4.67

146 125 99.6 85.6 70.7 54.4 93.4 80.5 65 56.1 46.5 36

36.5 31.2 24.9 21.4 17.7 13.6 26.7 23 18.6 16 13.3 10.3

6

6

0.581

42.1

11.7

55.2

18.4

6 6 6 6 6 6 5.5 5.5 5.5 5.5 5.5 5 5 5 5 5 5 4.5 4.5 4.5 4.5 4.5 4.5 4 4 4 4 4 4 3.5 3.5 3.5

6 6 6 6 6 6 5.5 5.5 5.5 5.5 5.5 5 5 5 5 5 5 4.5 4.5 4.5 4.5 4.5 4.5 4 4 4 4 4 4 3.5 3.5 3.5

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

35.1 27.4 23.3 19 14.5 9.85 24.9 21.2 17.3 13.2 9 28.3 22.3 19 15.6 12 8.15 24.9 19.7 16.9 13.9 10.7 7.3 21.5 17.2 14.8 12.2 9.4 6.45 14.6 12.7 10.5

9.74 7.58 6.43 5.24 3.98 2.7 6.88 5.85 4.77 3.63 2.46 7.88 6.18 5.26 4.3 3.28 2.23 6.95 5.48 4.68 3.84 2.93 2 6.02 4.78 4.1 3.37 2.58 1.77 4.09 3.52 2.91

48.3 39.5 34.3 28.6 22.3 15.5 29.7 25.9 21.7 17 11.8 26 21.7 19 16 12.6 8.8 18.1 15.3 13.5 11.4 9.02 6.35 11.9 10.3 9.14 7.8 6.21 4.4 6.49 5.84 5.04

16.1 13.2 11.4 9.54 7.42 5.15 10.8 9.43 7.9 6.17 4.3 10.4 8.68 7.62 6.41 5.03 3.52 8.03 6.79 6 5.08 4.01 2.82 5.97 5.13 4.57 3.9 3.1 2.2 3.71 3.34 2.88

3.5 3.5 3 3 3 3 3 2.5 2.5 2.5 2.5 2.25 2.25 2.25 2 2 2

3.5 3.5 3 3 3 3 3 2.5 2.5 2.5 2.5 2.25 2.25 2.25 2 2 2

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

8.13 5.6 12.1 10.5 8.78 6.85 4.75 8.4 7.08 5.57 3.9 6.23 4.94 3.47 5.38 4.3 3.04

2.24 1.54 3.39 2.94 2.44 1.89 1.3 2.35 1.97 1.54 1.07 1.74 1.37 0.956 1.51 1.19 0.84

4.05 2.9 3.78 3.45 3.02 2.46 1.78 1.82 1.63 1.35 0.998 1.13 0.953 0.712 0.747 0.641 0.486

2.31 1.66 2.52 2.3 2.01 1.64 1.19 1.46 1.3 1.08 0.799 1.01 0.847 0.633 0.747 0.641 0.486

1.75 1.625 1.625 1.5 1.5 1.25 1.25 32 32 32 30 30 30 28 28 28 26 26 26 24 24 24 22 22 22 20 20 20

1.75 1.625 1.625 1.5 1.5 1.25 1.25 24 24 24 24 24 24 24 24 24 24 24 24 22 22 22 20 20 20 18 18 18

0.174 0.174 0.116 0.174 0.116 0.174 0.116 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375 0.625 0.5 0.375

3.66 3.34 2.41 3.02 2.19 2.38 1.77 225.8 183.5 138.95 217.3 176.7 133.84 208.79 169.89 128.74 200.28 163.08 123.64 183.27 149.47 113.43 166.25 135.86 103.22 149.24 122.25 93.01

1.02 0.932 0.666 0.845 0.608 0.671 0.492 66.4 53.9 40.8 63.9 51.9 39.3 61.4 49.9 37.8 58.9 47.9 36.3 53.9 43.9 33.3 48.9 39.9 30.3 43.9 35.9 27.3

0.405 0.313 0.246 0.236 0.188 0.122 0.102 9880 8160 6250 8480 7010 5380 7210 5970 4580 6060 5020 3860 4680 3900 3000 3530 2950 2280 2590 2180 1690

0.463 0.385 0.303 0.315 0.251 0.195 0.162 617 510 391 565 468 359 515 426 327 466 386 297 390 325 250 321 269 207 259 218 169

20 20 20

16 16 16

0.625 0.5 0.375

140.73 115.45 87.91

41.4 33.9 25.8

2360 1990 1540

236 199 154

20 20 20 20 20 20 20 20 20 20 20

12 12 12 12 8 8 8 8 4 4 4

0.581 0.465 0.349 0.291 0.581 0.465 0.349 0.291 0.465 0.349 0.291

127 103 78.4 65.8 110 89.6 68.2 57.3 75.9 58 48.8

35 28.3 21.5 18.1 30.3 24.6 18.7 15.7 20.9 16 13.4

1880 1550 1200 1010 1440 1190 926 786 838 657 560

188 155 120 101 144 119 92.6 78.6 83.8 65.7 56

18 18 18

12 12 12

0.581 0.465 0.349

119 96.4 73.3

32.6 26.5 20.1

1450 1200 929

161 133 103

18 18 18 18 18 16 16 16 16 16 16 16 16 16 16 16 14 14 14 14 14 14 14 14 14 14 14 14

6 6 6 6 6 12 12 12 12 8 8 8 8 4 4 4 12 12 10 10 10 10 10 6 6 6 6 6

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

93.1 75.9 58 48.8 39.4 110 89.6 68.2 57.3 93.1 75.9 58 48.8 62.3 47.8 40.3 82.7 63.1 93.1 75.9 58 48.8 39.4 76.1 62.3 47.8 40.3 32.6

25.7 20.9 16 13.4 10.8 30.3 24.6 18.7 15.7 25.7 20.9 16 13.4 17.2 13.2 11.1 22.8 17.3 25.7 20.9 16 13.4 10.8 21 17.2 13.2 11.1 8.96

923 770 602 513 419 1090 904 702 595 815 679 531 451 455 360 308 658 512 687 573 447 380 310 478 402 317 271 222

103 85.6 66.9 57 46.5 136 113 87.7 74.4 102 84.9 66.3 56.4 56.9 45 38.5 94 73.2 98.2 81.8 63.9 54.3 44.3 68.3 57.4 45.3 38.7 31.7

14 14 14 14 14 14 14 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 10 10 10 10 10 10 10 10 10

6 4 4 4 4 4 4 10 10 10 10 8 8 8 8 8 8 6 6 6 6 6 6 4 4 4 4 4 4 3.5 3.5 3 3 3 2 2 8 8 8 8 8 6 6 6 6

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

24.7 67.6 55.5 42.7 36 29.2 22.2 69.1 52.9 44.6 36 76.1 62.3 47.8 40.3 32.6 24.7 67.6 55.5 42.7 36 29.2 22.2 59.1 48.7 37.6 31.8 25.8 19.6 36.3 30.7 29.7 24.1 18.3 22.4 17.1 55.5 42.7 36 29.2 22.2 59.1 48.7 37.6 31.8

6.76 18.7 15.3 11.8 9.92 8.03 6.06 19 14.6 12.2 9.9 21 17.2 13.2 11.1 8.96 6.76 18.7 15.3 11.8 9.92 8.03 6.06 16.4 13.5 10.4 8.76 7.1 5.37 10 8.46 8.17 6.63 5.02 6.17 4.67 15.3 11.8 9.92 8.03 6.06 16.4 13.5 10.4 8.76

170 373 317 252 216 178 137 395 310 264 216 397 333 262 224 184 140 321 271 215 184 151 116 245 210 168 144 119 91.8 156 134 124 103 79.6 86.9 67.4 214 169 145 119 91.4 201 171 137 118

24.3 53.3 45.3 36 30.9 25.4 19.5 65.9 51.6 44 36 66.1 55.6 43.7 37.4 30.6 23.4 53.4 45.2 35.9 30.7 25.2 19.4 40.8 34.9 28 24.1 19.9 15.3 26 22.4 20.7 17.2 13.3 14.5 11.2 42.7 33.9 29 23.8 18.3 40.2 34.3 27.4 23.5

10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8

6 6 5 5 5 5 4 4 4 4 4 4 3.5 3 3 3 3 3 2 2 2 2 7 7 7 7 7 7 5 5 5 5 5 5 3 3 3 3 3 6 6 6 6 6 6

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

25.8 19.6 35.1 29.7 24.1 18.3 50.6 41.9 32.5 27.5 22.4 17.1 16.4 30 25.4 20.7 15.8 10.7 27.4 23.3 19 14.5 59.1 48.7 37.6 31.8 25.8 19.6 50.6 41.9 32.5 27.5 22.4 17.1 35.1 27.4 23.3 19 14.5 50.6 41.9 32.5 27.5 22.4 17.1

7.1 5.37 9.67 8.17 6.63 5.02 14 11.6 8.97 7.59 6.17 4.67 4.5 8.27 7.01 5.7 4.32 2.93 7.58 6.43 5.24 3.98 16.4 13.5 10.4 8.76 7.1 5.37 14 11.6 8.97 7.59 6.17 4.67 9.74 7.58 6.43 5.24 3.98 14 11.6 8.97 7.59 6.17 4.67

96.9 74.6 120 104 85.8 66.2 149 129 104 90.1 74.7 57.8 53.6 88 76.3 63.6 49.4 34.2 71.7 62.6 52.5 41 174 149 119 102 84.1 64.7 133 115 92.5 79.8 66.1 51.1 80.8 66.3 57.7 48.2 37.6 114 98.2 79.1 68.3 56.6 43.7

19.4 14.9 24.1 20.8 17.2 13.2 29.9 25.8 20.8 18 14.9 11.6 10.7 17.6 15.3 12.7 9.87 6.83 14.3 12.5 10.5 8.19 38.7 33 26.4 22.6 18.7 14.4 29.6 25.5 20.5 17.7 14.7 11.4 18 14.7 12.8 10.7 8.35 28.5 24.6 19.8 17.1 14.2 10.9

8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6

4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 5 5 5 5 4 4 4 4

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

42.1 35.1 27.4 23.3 19 14.5 9.85 31.7 24.9 21.2 17.3 13.2 9 22.3 19 15.6 12 8.15 42.1 35.1 27.4 23.3 19 14.5 9.85 31.7 24.9 21.2 17.3 13.2 9 28.3 22.3 19 15.6 12 8.15 24.9 21.2 17.3 13.2 28.3 22.3 19 15.6

11.7 9.74 7.58 6.43 5.24 3.98 2.7 8.81 6.88 5.85 4.77 3.63 2.46 6.18 5.26 4.3 3.28 2.23 11.7 9.74 7.58 6.43 5.24 3.98 2.7 8.81 6.88 5.85 4.77 3.63 2.46 7.88 6.18 5.26 4.3 3.28 2.23 6.88 5.85 4.77 3.63 7.88 6.18 5.26 4.3

82 71.8 58.7 51 42.5 33.1 22.9 58.6 48.5 42.4 35.5 27.8 19.3 38.2 33.7 28.5 22.4 15.7 69.4 60.6 49.5 43 35.9 27.9 19.3 50.7 41.8 36.5 30.5 23.8 16.6 40.7 34.1 29.9 25.2 19.8 13.8 33.9 29.6 24.7 19.3 34 28.3 24.8 20.9

20.5 17.9 14.7 12.8 10.6 8.27 5.73 14.6 12.1 10.6 8.88 6.94 4.83 9.56 8.43 7.12 5.61 3.93 19.8 17.3 14.1 12.3 10.2 7.96 5.52 14.5 11.9 10.4 8.72 6.81 4.73 11.6 9.73 8.54 7.19 5.65 3.95 11.3 9.85 8.25 6.44 11.3 9.43 8.27 6.96

6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4

4 4 3 3 3 3 3 3 2 2 2 2 2 4 4 4 4 4 3 3 3 3 3 3 2.5 2.5 2.5 2 2 2 2 2 3 3 3 3 3 2.5 2.5 2.5 2 2 2 2 2

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

12 8.15 24.9 19.7 16.9 13.9 10.7 7.3 17.2 14.8 12.2 9.4 6.45 24.9 19.7 16.9 13.9 10.7 21.5 17.2 14.8 12.2 9.4 6.45 11.3 8.77 6.02 14.6 12.7 10.5 8.13 5.6 14.6 12.7 10.5 8.13 5.6 11.6 9.63 7.49 12.1 10.5 8.78 6.85 4.75

3.28 2.23 6.95 5.48 4.68 3.84 2.93 2 4.78 4.1 3.37 2.58 1.77 6.95 5.48 4.68 3.84 2.93 6.02 4.78 4.1 3.37 2.58 1.77 3.14 2.41 1.65 4.09 3.52 2.91 2.24 1.54 4.09 3.52 2.91 2.24 1.54 3.23 2.67 2.06 3.39 2.94 2.44 1.89 1.3

16.4 11.4 26.8 22.7 20.1 17 13.4 9.43 17.1 15.3 13.1 10.5 7.42 21.2 17.9 15.8 13.4 10.6 16.4 14.1 12.6 10.7 8.53 6.03 9.4 7.51 5.34 10.4 9.35 8.08 6.5 4.65 7.93 7.14 6.15 4.93 3.52 6.13 5.32 4.3 5.6 5.13 4.49 3.66 2.65

5.46 3.81 8.95 7.57 6.69 5.66 4.47 3.14 5.71 5.11 4.37 3.49 2.47 8.49 7.17 6.32 5.35 4.22 6.57 5.65 5.03 4.29 3.41 2.41 3.76 3.01 2.14 4.14 3.74 3.23 2.6 1.86 3.97 3.57 3.07 2.47 1.76 3.07 2.66 2.15 2.8 2.56 2.25 1.83 1.32

3.5 3.5 3.5 3.5 3.5 3 3 3 3 3 3 3 3

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2 2 2 2

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

12.1 10.5 8.78 6.85 4.75 9.46 7.93 6.21 4.32 8.4 7.08 5.57 3.9

3.39 2.94 2.44 1.89 1.3 2.64 2.21 1.71 1.19 2.35 1.97 1.54 1.07

4.75 4.34 3.79 3.09 2.23 2.92 2.57 2.11 1.54 2.38 2.13 1.77 1.3

2.72 2.48 2.17 1.76 1.28 1.94 1.72 1.41 1.03 1.59 1.42 1.18 0.867

3 3 3 3 2.5 2.5 2.5 2 2 2

1.5 1.5 1.5 1 1.5 1.5 1.5 1.5 1 1

0.233 0.174 0.116 0.116 0.233 0.174 0.116 0.174 0.174 0.116

6.23 4.94 3.47 3.04 5.38 4.3 3.04 3.66 3.02 2.19

1.74 1.37 0.956 0.84 1.51 1.19 0.84 1.02 0.845 0.608

1.68 1.42 1.06 0.817 1.03 0.882 0.668 0.495 0.35 0.28

1.12 0.945 0.706 0.545 0.822 0.705 0.535 0.495 0.35 0.28

0 CD Database (2001) and AISC 9th Edition Manual (1989) rx 12.7 12.8 12.9 11.9 12 12.1 11.1 11.2 11.2 10.3 10.4 10.4 9.44 9.53 9.6 8.62 8.72 8.78 7.81 7.9 7.97 6.99 7.08 7.15

Iy 12300 10100 7750 10100 8320 6370 8140 6730 5150 6460 5350 4110 5030 4170 3210 3820 3190 2460 2830 2370 1830 2020 1700 1320

Sy 771 634 485 673 555 424 582 480 368 497 411 316 419 348 268 347 290 223 283 237 183 224 189 147

ry 12.7 12.8 12.9 11.9 12 12.1 11.1 11.2 11.2 10.3 10.4 10.4 9.44 9.53 9.6 8.62 8.72 8.78 7.81 7.9 7.97 6.99 7.08 7.15

Zx 890 727 553 778 637 485 674 552 421 577 474 362 487 401 307 406 335 256 331 275 211 264 220 169

Zy 890 727 553 778 637 485 674 552 421 577 474 362 487 401 307 406 335 256 331 275 211 264 220 169

J 19700 15900 12000 16200 13000 9870 13100 10600 8010 10500 8430 6400 8180 6610 5020 6260 5070 3850 4670 3790 2880 3370 2740 2090

6.25 6.31 6.37 6.39 5.44 5.49 5.55 5.58 4.62 4.68 4.73 4.76 4.79 3.8 3.86 3.92 3.94 3.97 4

1370 1130 873 739 897 743 577 490 548 457 357 304 248 304 256 202 172 141 108

171 141 109 92.3 128 106 82.5 69.9 91.4 76.2 59.5 50.7 41.4 60.8 51.2 40.4 34.5 28.3 21.6

6.25 6.31 6.37 6.39 5.44 5.49 5.55 5.58 4.62 4.68 4.73 4.76 4.79 3.8 3.86 3.92 3.94 3.97 4

200 164 126 106 151 124 95.4 80.5 109 89.6 69.2 58.6 47.6 73.2 60.7 47.2 40.1 32.7 24.8

200 164 126 106 151 124 95.4 80.5 109 89.6 69.2 58.6 47.6 73.2 60.7 47.2 40.1 32.7 24.8

2170 1770 1350 1140 1430 1170 900 759 885 728 561 474 384 498 412 320 271 220 167

2.99 3.04 3.1 3.13 3.15 3.18 2.58 2.63 2.69 2.72 2.75 2.77

146 125 99.6 85.6 70.7 54.4 93.4 80.5 65 56.1 46.5 36

36.5 31.2 24.9 21.4 17.7 13.6 26.7 23 18.6 16 13.3 10.3

2.99 3.04 3.1 3.13 3.15 3.18 2.58 2.63 2.69 2.72 2.75 2.77

44.7 37.5 29.4 25.1 20.5 15.7 33.1 27.9 22.1 18.9 15.5 11.9

44.7 37.5 29.4 25.1 20.5 15.7 33.1 27.9 22.1 18.9 15.5 11.9

244 204 160 136 111 84.5 158 133 105 89.7 73.5 56.1

2.17

55.2

18.4

2.17

23.2

23.2

94.9

2.23 2.28 2.31 2.34 2.37 2.39 2.08 2.11 2.13 2.16 2.19 1.82 1.87 1.9 1.93 1.96 1.99 1.61 1.67 1.7 1.73 1.75 1.78 1.41 1.47 1.49 1.52 1.55 1.58 1.26 1.29 1.32

48.3 39.5 34.3 28.6 22.3 15.5 29.7 25.9 21.7 17 11.8 26 21.7 19 16 12.6 8.8 18.1 15.3 13.5 11.4 9.02 6.35 11.9 10.3 9.14 7.8 6.21 4.4 6.49 5.84 5.04

16.1 13.2 11.4 9.54 7.42 5.15 10.8 9.43 7.9 6.17 4.3 10.4 8.68 7.62 6.41 5.03 3.52 8.03 6.79 6 5.08 4.01 2.82 5.97 5.13 4.57 3.9 3.1 2.2 3.71 3.34 2.88

2.23 2.28 2.31 2.34 2.37 2.39 2.08 2.11 2.13 2.16 2.19 1.82 1.87 1.9 1.93 1.96 1.99 1.61 1.67 1.7 1.73 1.75 1.78 1.41 1.47 1.49 1.52 1.55 1.58 1.26 1.29 1.32

19.8 15.8 13.6 11.2 8.63 5.92 13.1 11.3 9.32 7.19 4.95 13.1 10.6 9.16 7.61 5.89 4.07 10.2 8.36 7.27 6.06 4.71 3.27 7.7 6.39 5.59 4.69 3.67 2.56 4.69 4.14 3.5

19.8 15.8 13.6 11.2 8.63 5.92 13.1 11.3 9.32 7.19 4.95 13.1 10.6 9.16 7.61 5.89 4.07 10.2 8.36 7.27 6.06 4.71 3.27 7.7 6.39 5.59 4.69 3.67 2.56 4.69 4.14 3.5

81.1 64.6 55.4 45.6 35 23.9 49 42.2 34.8 26.7 18.3 44.6 36.1 31.2 25.8 19.9 13.7 31.3 25.7 22.3 18.5 14.4 9.92 21 17.5 15.3 12.8 9.96 6.91 11.2 9.89 8.35

1.35 1.37 1.06 1.08 1.11 1.14 1.17 0.88 0.908 0.937 0.965 0.806 0.835 0.863 0.704 0.733 0.761

4.05 2.9 3.78 3.45 3.02 2.46 1.78 1.82 1.63 1.35 0.998 1.13 0.953 0.712 0.747 0.641 0.486

2.31 1.66 2.52 2.3 2.01 1.64 1.19 1.46 1.3 1.08 0.799 1.01 0.847 0.633 0.747 0.641 0.486

1.35 1.37 1.06 1.08 1.11 1.14 1.17 0.88 0.908 0.937 0.965 0.806 0.835 0.863 0.704 0.733 0.761

2.76 1.93 3.25 2.9 2.48 1.97 1.4 1.88 1.63 1.32 0.947 1.28 1.04 0.755 0.964 0.797 0.584

2.76 1.93 3.25 2.9 2.48 1.97 1.4 1.88 1.63 1.32 0.947 1.28 1.04 0.755 0.964 0.797 0.584

6.56 4.58 6.64 5.94 5.08 4.03 2.84 3.2 2.79 2.25 1.61 1.96 1.6 1.15 1.31 1.09 0.796

0.631 0.58 0.608 0.528 0.557 0.426 0.454 12.2 12.3 12.4 11.5 11.6 11.7 10.8 10.9 11 10.1 10.2 10.3 9.33 9.42 9.49 8.51 8.6 8.67 7.69 7.78 7.85

0.405 0.313 0.246 0.236 0.188 0.122 0.102 6390 5280 4050 6050 5000 3840 5710 4730 3630 5370 4450 3420 4110 3420 2630 3060 2560 1970 2210 1850 1440

0.463 0.385 0.303 0.315 0.251 0.195 0.162 533 440 337 504 417 320 476 394 302 447 371 285 373 311 239 306 256 197 245 206 160

0.631 0.58 0.608 0.528 0.557 0.426 0.454 9.81 9.89 9.96 9.73 9.82 9.88 9.65 9.73 9.79 9.55 9.64 9.7 8.73 8.82 8.89 7.91 8 8.07 7.1 7.19 7.25

0.585 0.491 0.37 0.406 0.309 0.259 0.204 733 601 458 668 548 418 605 497 379 545 448 342 458 378 289 379 313 240 307 255 196

0.585 0.491 0.37 0.406 0.309 0.259 0.204 604 495 378 575 472 360 546 448 342 517 425 324 432 356 273 355 294 225 286 238 183

0.699 0.544 0.41 0.414 0.316 0.218 0.174 12600 10100 7670 11400 9220 6990 10300 8330 6320 9240 7460 5660 7150 5780 4390 5400 4370 3330 3960 3220 2450

7.55 7.65 7.72

1680 1410 1100

210 177 137

6.37 6.46 6.52

283 236 181

243 203 156

3280 2670 2040

7.33 7.39 7.45 7.48 6.89 6.96 7.03 7.07 6.33 6.42 6.46

851 705 547 464 338 283 222 189 58.7 47.6 41.2

142 117 91.1 77.3 84.6 70.8 55.6 47.4 29.3 23.8 20.6

4.93 4.99 5.04 5.07 3.34 3.39 3.44 3.47 1.68 1.73 1.75

230 188 144 122 185 152 117 98.6 115 89.3 75.6

162 132 102 85.8 96.4 79.5 61.5 52 34 26.8 22.9

1890 1540 1180 997 916 757 586 496 195 156 134

6.67 6.73 6.79

776 643 499

129 107 83.2

4.87 4.93 4.98

196 161 123

148 122 93.6

1630 1330 1020

6 6.07 6.15 6.18 6.22 6 6.06 6.12 6.15 5.64 5.7 5.77 5.8 5.15 5.23 5.27 5.38 5.43 5.17 5.23 5.29 5.32 5.35 4.77 4.84 4.91 4.94 4.98

158 134 106 91.3 75.1 700 581 452 384 274 230 181 155 47 38.3 33.2 519 405 407 341 267 227 186 124 105 84.1 72.3 59.6

52.7 44.6 35.5 30.4 25 117 96.8 75.3 64 68.6 57.6 45.3 38.7 23.5 19.1 16.6 86.5 67.4 81.5 68.1 53.4 45.5 37.2 41.2 35.1 28 24.1 19.9

2.48 2.53 2.58 2.61 2.63 4.8 4.86 4.91 4.94 3.27 3.32 3.37 3.4 1.65 1.71 1.73 4.78 4.83 3.98 4.04 4.09 4.12 4.14 2.43 2.48 2.53 2.55 2.58

135 112 86.4 73.1 59.4 165 135 104 87.7 129 106 82.1 69.4 77.3 60.2 51.1 111 85.9 120 98.8 76.3 64.6 52.4 88.7 73.6 57.3 48.6 39.6

61 50.7 39.5 33.5 27.3 135 111 85.5 72.2 79.2 65.5 50.8 43 27.4 21.7 18.5 100 77.4 95.1 78.5 60.7 51.4 41.8 48.4 40.4 31.6 26.9 22

462 387 302 257 210 1370 1120 862 727 681 563 436 369 150 120 103 921 708 832 685 528 446 362 334 279 219 186 152

5.01 4.47 4.55 4.63 4.67 4.71 4.74 4.56 4.61 4.64 4.67 4.34 4.41 4.47 4.5 4.53 4.56 4.14 4.21 4.28 4.31 4.34 4.38 3.87 3.95 4.02 4.06 4.1 4.13 3.94 3.98 3.9 3.94 3.98 3.75 3.8 3.73 3.79 3.82 3.85 3.88 3.5 3.57 3.63 3.66

45.9 47.2 41.2 33.6 29.2 24.4 19 298 234 200 164 210 178 140 120 98.8 75.7 107 91.1 72.9 62.8 51.9 40 40.4 35.3 28.9 25.2 21 16.4 21.3 18.6 13.1 11.1 8.72 4.41 3.55 151 120 103 84.7 65.1 89.4 76.8 61.8 53.3

15.3 23.6 20.6 16.8 14.6 12.2 9.48 59.7 46.9 40 32.7 52.5 44.4 35.1 30.1 24.7 18.9 35.5 30.4 24.3 20.9 17.3 13.3 20.2 17.7 14.5 12.6 10.5 8.2 12.2 10.6 8.73 7.38 5.81 4.41 3.55 37.8 30 25.7 21.2 16.3 29.8 25.6 20.6 17.8

2.61 1.59 1.64 1.69 1.72 1.74 1.77 3.96 4.01 4.04 4.07 3.16 3.21 3.27 3.29 3.32 3.35 2.39 2.44 2.49 2.52 2.54 2.57 1.57 1.62 1.67 1.7 1.72 1.75 1.46 1.48 1.27 1.29 1.32 0.845 0.872 3.14 3.19 3.22 3.25 3.28 2.34 2.39 2.44 2.47

30.1 73.1 61 47.8 40.6 33.2 25.3 78.8 61.1 51.7 42.1 82.1 68.1 53 44.9 36.6 27.8 68.8 57.4 44.8 38.1 31.1 23.7 55.5 46.7 36.7 31.3 25.6 19.6 34.7 29.6 27.9 22.9 17.5 20.1 15.5 51.9 40.5 34.4 28.1 21.4 51.3 43 33.8 28.8

16.7 28.5 24.1 19.1 16.4 13.5 10.3 69.6 54 45.7 37.2 61.9 51.5 40.1 34.1 27.8 21.1 42.1 35.2 27.7 23.6 19.3 14.7 24.5 20.9 16.6 14.2 11.7 9 14 12.1 10 8.28 6.4 5.08 3.97 44.5 34.8 29.6 24.2 18.4 35.8 30.1 23.7 20.2

116 148 127 102 87.7 72.4 55.8 545 421 356 289 454 377 293 248 202 153 271 227 178 152 124 94.6 122 105 84.1 72.4 59.8 46.1 64.7 56 41.3 34.5 26.8 15.1 12 288 224 190 155 118 209 176 139 118

3.69 3.73 3.53 3.56 3.6 3.63 3.26 3.34 3.41 3.44 3.48 3.52 3.45 3.26 3.3 3.34 3.38 3.42 3.08 3.12 3.17 3.21 3.26 3.32 3.38 3.41 3.44 3.47 3.08 3.14 3.21 3.24 3.27 3.31 2.88 2.96 3 3.04 3.07 2.85 2.91 2.97 3 3.03 3.06

44.1 34.1 40.6 35.2 29.3 22.7 33.5 29.5 24.3 21.2 17.7 13.9 10.3 12.4 11 9.28 7.33 5.16 4.7 4.24 3.67 2.97 117 100 80.4 69.2 57.2 44.1 52 45.2 36.8 32 26.6 20.7 13.2 11.2 9.88 8.38 6.64 72.3 62.5 50.6 43.8 36.4 28.2

14.7 11.4 16.2 14.1 11.7 9.09 16.8 14.7 12.1 10.6 8.87 6.93 5.89 8.28 7.3 6.19 4.89 3.44 4.7 4.24 3.67 2.97 33.5 28.7 23 19.8 16.3 12.6 20.8 18.1 14.7 12.8 10.6 8.28 8.81 7.45 6.59 5.59 4.42 24.1 20.8 16.9 14.6 12.1 9.39

2.49 2.52 2.05 2.07 2.1 2.13 1.54 1.59 1.64 1.67 1.7 1.72 1.51 1.22 1.25 1.28 1.3 1.33 0.787 0.812 0.838 0.864 2.68 2.73 2.78 2.81 2.84 2.87 1.92 1.97 2.03 2.05 2.08 2.1 1.17 1.21 1.24 1.27 1.29 2.27 2.32 2.38 2.4 2.43 2.46

23.6 18 30.4 26 21.3 16.3 40.3 34.1 27 23.1 19 14.6 13.7 23.7 20.3 16.7 12.8 8.8 20.3 17.5 14.4 11.1 48.3 40.5 31.8 27.1 22.2 16.9 38.5 32.5 25.7 22 18.1 13.8 24.6 19.7 16.9 14 10.8 36.1 30.5 24.1 20.6 16.9 13

16.6 12.7 18.7 16 13.2 10.1 20.6 17.6 14 12.1 9.96 7.66 6.52 9.73 8.42 6.99 5.41 3.74 5.76 5.06 4.26 3.34 40.5 34 26.7 22.8 18.7 14.3 25.3 21.5 17.1 14.6 12 9.25 10.8 8.8 7.63 6.35 4.92 29.5 24.9 19.8 16.9 13.9 10.7

96.7 73.8 100 86 70.7 54.1 95.7 82.6 66.5 57.3 47.4 36.5 28.6 37.8 33 27.6 21.5 14.9 15.9 14.2 12.2 9.74 235 197 154 131 107 81.7 128 109 86.9 74.4 61.2 46.9 40 33.1 28.9 24.2 18.9 150 127 100 85.8 70.3 53.7

2.64 2.71 2.78 2.82 2.85 2.88 2.92 2.58 2.65 2.69 2.73 2.77 2.8 2.49 2.53 2.57 2.61 2.65 2.43 2.5 2.56 2.59 2.62 2.65 2.68 2.4 2.46 2.5 2.53 2.56 2.59 2.27 2.35 2.38 2.42 2.45 2.49 2.22 2.25 2.28 2.31 2.08 2.14 2.17 2.2

26.6 23.6 19.6 17.2 14.4 11.3 7.9 11.7 9.95 8.81 7.49 5.94 4.2 3.73 3.38 2.94 2.39 1.72 40.6 35.6 29.3 25.5 21.3 16.6 11.6 20.7 17.3 15.2 12.8 10 7.03 10.2 8.71 7.74 6.6 5.24 3.71 25.5 22.3 18.7 14.6 17.8 14.9 13.2 11.1

13.3 11.8 9.8 8.58 7.21 5.65 3.95 7.81 6.63 5.87 4.99 3.96 2.8 3.73 3.38 2.94 2.39 1.72 16.2 14.2 11.7 10.2 8.53 6.65 4.63 10.4 8.63 7.58 6.38 5.02 3.51 6.8 5.81 5.16 4.4 3.5 2.48 10.2 8.91 7.47 5.84 8.89 7.47 6.58 5.56

1.51 1.56 1.61 1.63 1.66 1.69 1.71 1.15 1.2 1.23 1.25 1.28 1.31 0.777 0.802 0.827 0.853 0.879 1.86 1.91 1.97 1.99 2.02 2.05 2.07 1.53 1.58 1.61 1.64 1.66 1.69 1.14 1.19 1.21 1.24 1.26 1.29 1.92 1.95 1.98 2.01 1.5 1.55 1.58 1.61

27.4 23.5 18.8 16.1 13.3 10.2 7.02 20 16.1 13.9 11.5 8.87 6.11 13.4 11.6 9.68 7.51 5.19 25.6 21.9 17.5 15 12.4 9.52 6.53 18.8 15.1 13.1 10.8 8.33 5.73 15.8 12.8 11.1 9.22 7.14 4.93 13.8 11.9 9.87 7.62 14.6 11.9 10.3 8.53

16.6 14.3 11.5 9.91 8.2 6.33 4.36 9.64 7.88 6.84 5.7 4.43 3.07 4.61 4.06 3.43 2.7 1.9 20.2 17.3 13.8 11.9 9.83 7.57 5.2 12.6 10.2 8.83 7.33 5.67 3.91 8.46 6.95 6.05 5.06 3.94 2.73 12.2 10.5 8.72 6.73 11 8.94 7.75 6.45

70.3 61.1 49.3 42.6 35.3 27.2 18.7 34.3 28.5 24.9 20.8 16.2 11.3 12.1 10.9 9.36 7.48 5.3 88.5 75.8 60.6 52.1 42.9 32.9 22.5 50.5 41 35.4 29.3 22.7 15.6 28.6 23.9 20.9 17.5 13.7 9.48 48.1 41.4 34.2 26.3 40.3 32.8 28.4 23.6

2.23 2.26 1.97 2.04 2.07 2.1 2.14 2.17 1.89 1.93 1.97 2.01 2.05 1.75 1.81 1.84 1.87 1.9 1.65 1.72 1.75 1.78 1.82 1.85 1.73 1.77 1.8 1.59 1.63 1.67 1.7 1.74 1.39 1.42 1.45 1.49 1.52 1.38 1.41 1.44 1.29 1.32 1.36 1.39 1.43

8.76 6.15 8.69 7.48 6.67 5.7 4.55 3.23 2.77 2.52 2.21 1.8 1.31 14.9 12.6 11.1 9.46 7.48 7.18 6.25 5.6 4.81 3.85 2.75 3.13 2.53 1.82 2.28 2.1 1.84 1.51 1.1 5.01 4.52 3.91 3.16 2.27 2.89 2.53 2.06 1.8 1.67 1.48 1.22 0.898

4.38 3.08 5.79 4.99 4.45 3.8 3.03 2.15 2.77 2.52 2.21 1.8 1.31 7.43 6.3 5.57 4.73 3.74 4.78 4.16 3.73 3.21 2.57 1.83 2.5 2.03 1.46 2.28 2.1 1.84 1.51 1.1 3.34 3.02 2.61 2.1 1.51 2.32 2.02 1.65 1.8 1.67 1.48 1.22 0.898

1.63 1.66 1.12 1.17 1.19 1.22 1.25 1.27 0.76 0.785 0.81 0.836 0.861 1.46 1.52 1.54 1.57 1.6 1.09 1.14 1.17 1.19 1.22 1.25 0.999 1.02 1.05 0.748 0.772 0.797 0.823 0.848 1.11 1.13 1.16 1.19 1.21 0.947 0.973 0.999 0.729 0.754 0.779 0.804 0.83

6.6 4.56 12.1 9.9 8.61 7.19 5.59 3.87 7.93 6.95 5.84 4.58 3.19 10.9 8.96 7.79 6.49 5.05 8.83 7.34 6.42 5.38 4.21 2.93 4.83 3.79 2.65 5.71 5.05 4.27 3.37 2.37 5.12 4.51 3.81 3 2.11 3.97 3.38 2.67 3.84 3.43 2.94 2.34 1.66

5 3.46 7.28 6.03 5.27 4.41 3.45 2.4 3.46 3.07 2.61 2.07 1.46 9.35 7.67 6.67 5.57 4.34 6.1 5.1 4.48 3.77 2.96 2.07 2.95 2.33 1.64 2.88 2.57 2.2 1.75 1.24 4.18 3.69 3.12 2.46 1.73 2.85 2.43 1.93 2.31 2.08 1.79 1.43 1.02

18.2 12.6 23.1 19.3 16.9 14.2 11.1 7.73 8.42 7.6 6.55 5.24 3.72 30.3 24.9 21.7 18 14 17.6 14.9 13.1 11 8.64 6.02 7.93 6.26 4.4 6.61 5.99 5.17 4.15 2.95 10.6 9.41 7.96 6.26 4.38 6.77 5.78 4.59 4.83 4.4 3.82 3.08 2.2

1.18 1.22 1.25 1.28 1.31 1.05 1.08 1.11 1.14 1.01 1.04 1.07 1.1

2.77 2.54 2.23 1.82 1.33 2.18 1.93 1.59 1.16 1.24 1.11 0.932 0.692

2.21 2.03 1.78 1.46 1.06 1.74 1.54 1.27 0.931 1.24 1.11 0.932 0.692

0.904 0.93 0.956 0.983 1.01 0.908 0.935 0.963 0.99 0.725 0.751 0.778 0.804

3.59 3.2 2.74 2.18 1.54 2.51 2.16 1.73 1.23 2.11 1.83 1.48 1.06

2.82 2.52 2.16 1.72 1.22 2.2 1.9 1.52 1.09 1.58 1.38 1.12 0.803

6.16 5.53 4.75 3.78 2.67 4.34 3.74 3 2.13 2.87 2.52 2.05 1.47

0.982 1.02 1.05 0.987 0.826 0.86 0.892 0.697 0.643 0.679

0.543 0.467 0.355 0.138 0.449 0.39 0.3 0.313 0.112 0.0922

0.725 0.622 0.474 0.276 0.599 0.52 0.399 0.417 0.225 0.184

0.559 0.584 0.61 0.405 0.546 0.572 0.597 0.554 0.365 0.39

1.51 1.24 0.895 0.728 1.11 0.915 0.671 0.639 0.48 0.366

0.911 0.752 0.55 0.325 0.764 0.636 0.469 0.521 0.288 0.223

1.44 1.21 0.886 0.408 1.1 0.929 0.687 0.664 0.301 0.238

Round HSS and Pipe Properties from AISC Version 3.0 CD Database (2001) and A Shape

O.D.

I.D.

t

wt./ft.

HSS20.000x0.500 HSS20.000x0.375 HSS18.000x0.500 HSS18.000x0.375 HSS16.000x0.500 HSS16.000x0.438 HSS16.000x0.375 HSS16.000x0.312 HSS14.000x0.500 HSS14.000x0.375 HSS14.000x0.312 HSS12.750x0.500 HSS12.750x0.375 HSS12.750x0.250 HSS12.500x0.625 HSS12.500x0.500 HSS12.500x0.375 HSS12.500x0.312 HSS12.500x0.250 HSS12.500x0.188 HSS11.250x0.625 HSS11.250x0.500 HSS11.250x0.375 HSS11.250x0.312 HSS11.250x0.250 HSS11.250x0.188 HSS10.750x0.500 HSS10.750x0.250 HSS10.000x0.625 HSS10.000x0.500 HSS10.000x0.375 HSS10.000x0.312 HSS10.000x0.250 HSS10.000x0.188 HSS9.625x0.500 HSS9.625x0.375 HSS9.625x0.312 HSS9.625x0.250 HSS9.625x0.188 HSS8.750x0.500 HSS8.750x0.375 HSS8.750x0.312 HSS8.750x0.250

20 20 18 18 16 16 16 16 14 14 14 12.75 12.75 12.75 12.5 12.5 12.5 12.5 12.5 12.5 11.25 11.25 11.25 11.25 11.25 11.25 10.75 10.75 10 10 10 10 10 10 9.625 9.625 9.625 9.625 9.625 8.75 8.75 8.75 8.75

19.07 19.302 17.07 17.302 15.07 15.186 15.302 15.418 13.07 13.302 13.418 11.82 12.052 12.284 11.338 11.57 11.802 11.918 12.034 12.152 10.088 10.32 10.552 10.668 10.784 10.902 9.82 10.284 8.838 9.07 9.302 9.418 9.534 9.652 8.695 8.927 9.043 9.159 9.277 7.82 8.052 8.168 8.284

0.465 0.349 0.465 0.349 0.465 0.407 0.349 0.291 0.465 0.349 0.291 0.465 0.349 0.233 0.581 0.465 0.349 0.291 0.233 0.174 0.581 0.465 0.349 0.291 0.233 0.174 0.465 0.233 0.581 0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233

104 78.7 93.5 70.7 82.8 72.9 62.6 52.3 72.2 54.6 45.7 65.5 49.6 33.4 79.3 64.1 48.6 40.7 32.7 24.7 71 57.5 43.6 36.5 29.4 22.2 54.8 28.1 62.6 50.8 38.6 32.3 26.1 19.7 48.8 37.1 31.1 25.1 19 44.1 33.6 28.1 22.7

HSS8.750x0.188 HSS8.625x0.500 HSS8.625x0.375 HSS8.625x0.322 HSS8.625x0.250 HSS8.625x0.188 HSS7.625x0.125 HSS7.500x0.500 HSS7.500x0.375 HSS7.500x0.312 HSS7.500x0.250 HSS7.500x0.188 HSS7.000x0.500 HSS7.000x0.375 HSS7.000x0.312 HSS7.000x0.250 HSS7.000x0.188 HSS7.000x0.125 HSS6.875x0.500 HSS6.875x0.375 HSS6.875x0.312 HSS6.875x0.250 HSS6.875x0.188 HSS6.625x0.500 HSS6.625x0.432 HSS6.625x0.375 HSS6.625x0.312 HSS6.625x0.280 HSS6.625x0.250 HSS6.625x0.188 HSS6.625x0.125 HSS6.125x0.500 HSS6.125x0.375 HSS6.125x0.312 HSS6.125x0.250 HSS6.125x0.188 HSS6.000x0.500 HSS6.000x0.375 HSS6.000x0.312 HSS6.000x0.280 HSS6.000x0.250 HSS6.000x0.188 HSS6.000x0.125 HSS5.563x0.375 HSS5.563x0.258

8.75 8.625 8.625 8.625 8.625 8.625 7.625 7.5 7.5 7.5 7.5 7.5 7 7 7 7 7 7 6.875 6.875 6.875 6.875 6.875 6.625 6.625 6.625 6.625 6.625 6.625 6.625 6.625 6.125 6.125 6.125 6.125 6.125 6 6 6 6 6 6 6 5.563 5.563

8.402 7.695 7.927 8.025 8.159 8.277 7.393 6.57 6.802 6.918 7.034 7.152 6.07 6.302 6.418 6.534 6.652 6.768 5.945 6.177 6.293 6.409 6.527 5.695 5.819 5.927 6.043 6.103 6.159 6.277 6.393 5.195 5.427 5.543 5.659 5.777 5.07 5.302 5.418 5.478 5.534 5.652 5.768 4.865 5.081

0.174 0.465 0.349 0.3 0.233 0.174 0.116 0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.233 0.174 0.116 0.465 0.349 0.291 0.233 0.174 0.465 0.403 0.349 0.291 0.261 0.233 0.174 0.116 0.465 0.349 0.291 0.233 0.174 0.465 0.349 0.291 0.261 0.233 0.174 0.116 0.349 0.241

17.2 43.4 33.1 28.6 22.4 17 10 37.4 28.6 24 19.4 14.7 34.7 26.6 22.3 18 13.7 9.19 34.1 26.1 21.9 17.7 13.4 32.7 28.6 25.1 21.1 19 17 12.9 8.69 30.1 23.1 19.4 15.7 11.9 29.4 22.5 19 17.1 15.4 11.7 7.85 20.8 14.6

HSS5.563x0.188 HSS5.563x0.134 HSS5.500x0.500 HSS5.500x0.375 HSS5.500x0.258 HSS5.000x0.500 HSS5.000x0.375 HSS5.000x0.312 HSS5.000x0.258 HSS5.000x0.250 HSS5.000x0.188 HSS5.000x0.125 HSS4.500x0.337 HSS4.500x0.237 HSS4.500x0.188 HSS4.500x0.125 HSS4.000x0.337 HSS4.000x0.313 HSS4.000x0.250 HSS4.000x0.237 HSS4.000x0.226 HSS4.000x0.220 HSS4.000x0.188 HSS4.000x0.125 HSS3.500x0.313 HSS3.500x0.300 HSS3.500x0.250 HSS3.500x0.216 HSS3.500x0.203 HSS3.500x0.188 HSS3.500x0.125 HSS3.000x0.300 HSS3.000x0.250 HSS3.000x0.216 HSS3.000x0.203 HSS3.000x0.188 HSS3.000x0.152 HSS3.000x0.134 HSS3.000x0.120 HSS2.875x0.250 HSS2.875x0.203 HSS2.875x0.188 HSS2.875x0.125 HSS2.500x0.250 HSS2.500x0.188

5.563 5.563 5.5 5.5 5.5 5 5 5 5 5 5 5 4.5 4.5 4.5 4.5 4 4 4 4 4 4 4 4 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3 3 3 3 3 3 3 3 2.875 2.875 2.875 2.875 2.5 2.5

5.215 5.313 4.57 4.802 5.018 4.07 4.302 4.418 4.518 4.534 4.652 4.768 3.87 4.058 4.152 4.268 3.37 3.418 3.534 3.558 3.578 3.59 3.652 3.768 2.918 2.94 3.034 3.098 3.122 3.152 3.268 2.44 2.534 2.598 2.622 2.652 2.716 2.75 2.776 2.409 2.497 2.527 2.643 2.034 2.152

0.174 0.125 0.465 0.349 0.241 0.465 0.349 0.291 0.241 0.233 0.174 0.116 0.315 0.221 0.174 0.116 0.315 0.291 0.233 0.221 0.211 0.205 0.174 0.116 0.291 0.28 0.233 0.201 0.189 0.174 0.116 0.28 0.233 0.201 0.189 0.174 0.142 0.125 0.112 0.233 0.189 0.174 0.116 0.233 0.174

10.8 7.78 26.7 20.5 14.5 24.1 18.5 15.6 13.1 12.7 9.67 6.51 15 10.8 8.67 5.85 13.2 12.3 10 9.53 9.12 8.89 7.66 5.18 10.7 10.3 8.69 7.58 7.15 6.66 4.51 8.66 7.35 6.43 6.07 5.65 4.63 4.11 3.69 7.02 5.8 5.4 3.67 6.01 4.65

HSS2.500x0.125 HSS2.375x0.250 HSS2.375x0.218 HSS2.375x0.188 HSS2.375x0.154 HSS2.375x0.125 HSS1.900x0.145 HSS1.660x0.140 PIPE1/2STD PIPE3/4STD PIPE1STD PIPE1-1/4STD PIPE1-1/2STD PIPE2STD PIPE2-1/2STD PIPE3STD PIPE3-1/2STD PIPE4STD PIPE5STD PIPE6STD PIPE8STD PIPE10STD PIPE12STD PIPE1/2XS PIPE3/4XS PIPE1XS PIPE1-1/4XS PIPE1-1/2XS PIPE2XS PIPE2-1/2XS PIPE3XS PIPE3-1/2XS PIPE4XS PIPE5XS PIPE6XS PIPE8XS PIPE10XS PIPE12XS PIPE2XXS PIPE2-1/2XXS PIPE3XXS PIPE4XXS PIPE5XXS PIPE6XXS PIPE8XXS

2.5 2.375 2.375 2.375 2.375 2.375 1.9 1.66 0.84 1.05 1.32 1.66 1.9 2.38 2.88 3.5 4 4.5 5.56 6.63 8.63 10.8 12.8 0.84 1.05 1.32 1.66 1.9 2.38 2.88 3.5 4 4.5 5.56 6.63 8.63 10.8 12.8 2.38 2.88 3.5 4.5 5.56 6.63 8.63

2.268 1.909 1.967 2.027 2.089 2.143 1.63 1.4 0.622 0.824 1.05 1.38 1.61 2.07 2.47 3.07 3.55 4.03 5.05 6.07 7.98 10 12 0.546 0.742 0.957 1.28 1.5 1.94 2.32 2.9 3.36 3.83 4.81 5.76 7.63 9.75 11.8 1.5 1.77 2.3 3.15 4.06 4.9 6.88

0.116 0.233 0.204 0.174 0.143 0.116 0.135 0.13 0.109 0.113 0.133 0.14 0.145 0.154 0.203 0.216 0.226 0.237 0.258 0.28 0.322 0.365 0.375 0.147 0.154 0.179 0.191 0.2 0.218 0.276 0.3 0.318 0.337 0.375 0.432 0.5 0.5 0.5 0.436 0.552 0.6 0.674 0.75 0.864 0.875

3.17 5.68 5.03 4.4 3.66 3.01 2.72 2.27 0.852 1.13 1.68 2.27 2.72 3.66 5.8 7.58 9.12 10.8 14.6 19 28.6 40.5 49.6 1.09 1.48 2.17 3 3.63 5.03 7.67 10.3 12.5 15 20.8 28.6 43.4 54.8 65.5 9.04 13.7 18.6 27.6 38.6 53.2 72.5

n 3.0 CD Database (2001) and AISC 9th Ed. Manual (1989) A

I

S

r

J

28.5 21.5 25.6 19.4 22.7 19.9 17.2 14.4 19.8 15 12.5 17.9 13.6 9.16 21.8 17.6 13.3 11.2 8.98 6.74 19.5 15.8 12 10 8.06 6.05 15 7.7 17.2 13.9 10.6 8.88 7.15 5.37 13.4 10.2 8.53 6.87 5.17 12.1 9.21 7.73 6.23

1360 1040 985 754 685 606 526 443 453 349 295 339 262 180 387 319 246 208 169 128 278 229 178 151 122 92.9 199 106 191 159 123 105 85.3 64.8 141 110 93 75.9 57.7 104 81.4 69.3 56.6

136 104 109 83.8 85.7 75.8 65.7 55.4 64.8 49.8 42.1 53.2 41 28.2 62 51 39.4 33.3 27 20.5 49.4 40.8 31.6 26.8 21.8 16.5 37 19.8 38.3 31.7 24.7 20.9 17.1 13 29.2 22.8 19.3 15.8 12 23.8 18.6 15.8 12.9

6.91 6.95 6.2 6.24 5.49 5.51 5.53 5.55 4.79 4.83 4.85 4.35 4.39 4.43 4.22 4.26 4.3 4.32 4.34 4.36 3.78 3.82 3.86 3.88 3.9 3.92 3.64 3.72 3.34 3.38 3.41 3.43 3.45 3.47 3.24 3.28 3.3 3.32 3.34 2.93 2.97 2.99 3.01

2720 2080 1970 1510 1370 1210 1050 886 907 698 589 678 523 359 774 638 492 416 338 256 556 459 355 301 245 186 398 213 383 317 247 209 171 130 281 219 186 152 115 208 163 139 113

Plates t 1/ 8 3/16 1/ 4 5/16 3/ 8 7/16 1/ 2 9/16 5/ 8 11/16 3/ 4 13/16 7/ 8 15/16 1 1 1/ 8 1 1/ 4 1 3/ 8 1 1/ 2 1 5/ 8 1 3/ 4 1 7/ 8 2 2 1/ 8 2 1/ 4 2 3/ 8 2 1/ 2 2 5/ 8 2 3/ 4 2 7/ 8 3

4.69 11.9 9.07 7.85 6.14 4.62 2.74 10.3 7.84 6.59 5.32 4 9.55 7.29 6.13 4.95 3.73 2.51 9.36 7.16 6.02 4.86 3.66 9 7.88 6.88 5.79 5.22 4.68 3.53 2.37 8.27 6.33 5.33 4.31 3.25 8.09 6.2 5.22 4.71 4.22 3.18 2.14 5.72 4.03

43.1 99.5 77.8 68.1 54.1 41.3 19.3 63.9 50.2 42.9 35.2 26.9 51.2 40.4 34.6 28.4 21.7 14.9 48.3 38.2 32.7 26.8 20.6 42.9 38.3 34 29.1 26.5 23.9 18.4 12.6 33.3 26.5 22.7 18.7 14.4 31.2 24.8 21.3 19.4 17.6 13.5 9.28 19.5 14.3

9.86 23.1 18 15.8 12.5 9.57 5.06 17 13.4 11.4 9.37 7.17 14.6 11.6 9.88 8.11 6.21 4.25 14.1 11.1 9.51 7.81 5.99 13 11.6 10.3 8.79 7.99 7.22 5.54 3.79 10.9 8.66 7.43 6.12 4.71 10.4 8.28 7.11 6.47 5.86 4.51 3.09 7.02 5.14

3.03 2.89 2.93 2.95 2.97 2.99 2.66 2.49 2.53 2.55 2.57 2.59 2.32 2.35 2.37 2.39 2.41 2.43 2.27 2.31 2.33 2.35 2.37 2.18 2.2 2.22 2.24 2.25 2.26 2.28 2.3 2.01 2.05 2.07 2.08 2.1 1.96 2 2.02 2.03 2.04 2.06 2.08 1.85 1.88

86.2 199 156 136 108 82.5 38.6 128 100 85.8 70.3 53.8 102 80.9 69.1 56.8 43.5 29.7 96.7 76.4 65.4 53.7 41.1 85.9 76.6 68 58.2 52.9 47.9 36.7 25.1 66.7 53 45.5 37.5 28.8 62.4 49.7 42.6 38.8 35.2 27 18.6 39 28.6

2.95 2.14 7.36 5.65 3.98 6.62 5.1 4.3 3.6 3.49 2.64 1.78 4.14 2.97 2.36 1.6 3.65 3.39 2.76 2.62 2.51 2.44 2.09 1.42 2.93 2.83 2.39 2.08 1.97 1.82 1.23 2.39 2.03 1.77 1.67 1.54 1.27 1.13 1.02 1.93 1.59 1.48 1.01 1.66 1.27

10.7 7.9 23.5 18.8 13.8 17.2 13.9 12 10.2 9.94 7.69 5.31 9.12 6.82 5.54 3.84 6.24 5.87 4.91 4.7 4.52 4.41 3.83 2.67 3.81 3.7 3.21 2.84 2.7 2.52 1.77 2.24 1.95 1.74 1.66 1.55 1.3 1.17 1.06 1.7 1.45 1.35 0.958 1.08 0.865

3.85 2.84 8.55 6.84 5.02 6.88 5.55 4.79 4.09 3.97 3.08 2.12 4.05 3.03 2.46 1.71 3.12 2.93 2.45 2.35 2.26 2.21 1.92 1.34 2.18 2.11 1.83 1.63 1.54 1.44 1.01 1.49 1.3 1.16 1.1 1.03 0.87 0.779 0.707 1.18 1.01 0.941 0.667 0.862 0.692

1.91 1.92 1.79 1.83 1.86 1.61 1.65 1.67 1.68 1.69 1.71 1.73 1.48 1.51 1.53 1.55 1.31 1.32 1.33 1.34 1.34 1.34 1.35 1.37 1.14 1.14 1.16 1.17 1.17 1.18 1.2 0.967 0.982 0.992 0.996 1 1.01 1.02 1.02 0.938 0.952 0.957 0.976 0.806 0.825

21.4 15.8 47 37.6 27.6 34.4 27.7 24 20.5 19.9 15.4 10.6 18.2 13.6 11.1 7.68 12.5 11.7 9.82 9.4 9.04 8.83 7.67 5.34 7.61 7.4 6.41 5.69 5.41 5.04 3.53 4.47 3.9 3.48 3.31 3.1 2.61 2.34 2.12 3.4 2.89 2.7 1.92 2.15 1.73

0.869 1.57 1.39 1.2 1 0.823 0.749 0.625 0.25 0.333 0.494 0.669 0.799 1.07 1.7 2.23 2.68 3.17 4.3 5.58 8.4 11.9 14.6 0.32 0.433 0.639 0.881 1.07 1.48 2.25 3.02 3.68 4.41 6.11 8.4 12.8 16.1 19.2 2.66 4.03 5.47 8.1 11.3 15.6 21.3

0.619 0.91 0.827 0.733 0.627 0.527 0.293 0.184 0.0171 0.037 0.0873 0.195 0.31 0.666 1.53 3.02 4.79 7.23 15.2 28.1 72.5 161 279 0.0201 0.0448 0.106 0.242 0.391 0.868 1.92 3.89 6.28 9.61 20.7 40.5 106 212 362 1.31 2.87 5.99 15.3 33.6 66.3 162

0.495 0.766 0.696 0.617 0.528 0.443 0.309 0.222 0.0407 0.0705 0.133 0.235 0.326 0.561 1.06 1.72 2.39 3.21 5.45 8.5 16.8 29.9 43.8 0.0478 0.0853 0.161 0.291 0.412 0.731 1.34 2.23 3.14 4.27 7.43 12.2 24.5 39.4 56.7 1.1 2 3.42 6.79 12.1 20 37.6

0.844 0.762 0.771 0.781 0.791 0.8 0.626 0.543 0.261 0.334 0.421 0.54 0.623 0.787 0.947 1.16 1.34 1.51 1.88 2.25 2.94 3.67 4.38 0.25 0.321 0.407 0.524 0.605 0.766 0.924 1.14 1.31 1.48 1.84 2.19 2.88 3.63 4.33 0.703 0.844 1.05 1.37 1.72 2.06 2.76

1.24 1.82 1.65 1.47 1.25 1.05 0.586 0.368 0.0342 0.0741 0.175 0.389 0.62 1.33 3.06 6.03 9.58 14.5 30.3 56.3 145 321 559 0.0402 0.0896 0.211 0.484 0.782 1.74 3.85 7.79 12.6 19.2 41.3 81 211 424 723 2.62 5.74 12 30.6 67.3 133 324

EJERCICIO 08 DISEÑO POR COMPRESION Hallar la capcidad en compresion de la columna W 16x45 en Calidad A-992 Gr50 Con DATOS ACERO

A-92

PERFIL L4X4X3/8 W16x45

A=

85.81

cm.^2

rx =

16.891

d=

40.894

cm.

Iy =

1365.24

tw =

0.876

cm.

Sy =

153.06

bf =

17.882

cm.

ry =

3.988

tf =

1.435

cm.

Zx =

1348.66

T=

100535.74

cm.

Zy =

237.61

k=

2.4562

cm.

J=

46.20

k1 =

2.0638

cm.

Cw = 534386.3744148

94637.86

cm.

a=

439.56

4.648

cm.

Wno =

176.77

Sw =

1132.15 240.89 665.31

gage = rt = d/Af =

4.06

Ix =

24391.16

cm.^4

Qf =

Sx =

1191.34

cm.^3

Qw =

85.80628

U= AREA EFECTIVA Ae=U*An Ae= #VALUE!

cm2

Fuerza Resistente ΦPn=0.75*FU*Ae ΦPn= #VALUE! kgf ΦPn= #VALUE! Ton

La capacidad del elemneto sera la menor de las capacidades que se obtienen de la fa ΦPn=

#VALUE!

Ton

en Calidad A-992 Gr50 Considerar H=12 m

cm. cm.^4 cm.^3 cm. cm.^3 cm.^3 cm.^4 cm.^6 cm. cm.^2 cm.^4 cm.^3 cm.^3

des que se obtienen de la falla por fluencia y la falla por rotura por tanto en este caso :

EJERCICIO 07 HALLAR LA CAPACIDAD DE TENSION DEL WT7x15 CONSIDERAR CALIDAD A572- Gr50 DETERMINAR LA RESISTENCIA A ATRACCION DE LA CONEXXION DE LA FIGURA. DATOS ACERO A-36 FY= Fu= Ag = d= b= t= y= x=

PERFIL L4X4X3/8

2530 4080 18.452 10.160 10.160 0.953 2.870 2.870

Kg/cm2 Kg/cm2 cm2 cm cm cm

n= 2 y= 2.870 cm L= 16 cm 1. Fluencia del Area Gruesa ΦPn=0.90*Fy*Ag ΦPn= 42014.2386 kg ΦPn= 42.01 Ton 2. Fractura en el Area Neta Efectiva

def =dp+1/8” def =

#REF! cm

An=Ag-n*t*def An=

1.81

cm

U= 0.87 AREA EFECTIVA Ae=U*An Ae= 1.58

cm2

Fuerza Resistente ΦPn=0.75*FU*Ae ΦPn= 4830.59518 kgf ΦPn= 4.83 Ton

La capacidad del elemneto sera la menor de las capacidades que se obtienen de la fa ΦPn=

4.83

Ton

ERAR CALIDAD A572- Gr50 XXION DE LA FIGURA.

L= 16 w= 10.16

SIGUIENTE CASO U=0.87 SIGUIENTE CASO 20.32 20.32 15.24

30 30 30

15.24 10.16

An= 0.90725625

des que se obtienen de la falla por fluencia y la falla por rotura por tanto en este caso :

EJERCICIO 06 HALLAR LA CAPACIDAD DE TENSION DEL WT7x15 CONSIDERAR CALIDAD A572- Gr50 DETERMINAR LA RESISTENCIA A ATRACCION DE LA CONEXXION DE LA FIGURA. DATOS ACERO

A572-Gr50

WT7x15

FY= Fu=

3520 Kg/cm2 4590 Kg/cm2 28.516 cm2 Ag = 17.5768 cm d= 0.6858 cm tw = 17.0942 cm bf = 0.9779 cm tf = 4.0132 cm y= Φ PERNO= 2.54 cm AREA PERNO= 5.07 cm2 dp= 6.4516 cm 0.9779 t= cm 2 n= 4.0132 y= cm 7.5 L= cm 1. Fluencia del Area Gruesa ΦPn=0.90*Fy*Ag ΦPn= 90338.9161 kg ΦPn= 90.34 Ton 2. Fractura en el Area Neta Efectiva

def =dp+1/8” def =

6.752 cm

An=Ag-n*t*def An=

15.31

cm

U=1-X/L U= 0.46 AREA EFECTIVA Ae=U*An Ae= 7.12

cm2

Fuerza Resistente ΦPn=0.75*FU*Ae ΦPn= 24504.82369 kgf ΦPn= 24.50 Ton

La capacidad del elemneto sera la menor de las capacidades que se obtienen de la fa ΦPn=

24.50

Ton

ERAR CALIDAD A572- Gr50 XION DE LA FIGURA.

des que se obtienen de la falla por fluencia y la falla por rotura por tanto en este caso :

EJEMPLO DETERMINAR LA RESISTENCIA A ATRACCION DE LA CONEXXION DE LA FIGURA. DATOS ACERO A37-24ES PERNOS A325-N 2400 FY= Kg/cm2 3700 Fu= Kg/cm2 12.2 Ag= cm2 Φ PERNO= 0.75 dp= 1.905 cm t= 0.8 cm n= 1 x= 2.3 cm L= 18 cm 1. Fluencia del Area Gruesa ΦPn=0.90*Fy*Ag ΦPn= 26352 kg ΦPn= 26.352 Ton 2. Fractura en el Area Neta Efectiva

def =dp+1/8” def =

2.205 cm

An=Ag-n*t*def An=

10.44 cm

U=1-X/L

cm U= 0.87

AREA EFECTIVA Ae=U*An Ae= 9.10

cm2

Fuerza Resistente ΦPn=0.75*FU*Ae ΦPn= 25259.468 kgf ΦPn= 25.26 Ton

La capacidad del elemneto sera la menor de las capacidades que se obtienen de la fa ΦPn=

25.26

Ton

EXXION DE LA FIGURA.

1.905

dades que se obtienen de la falla por fluencia y la falla por rotura por tanto en este caso :