Moment Connection of Wide Flange Beam to HSS Column

Disclaimer:
Spreadsheet is not compatible with Excel versions prior to 2010
Codes Used:
ASCE 7-10
AISC 360-10
AISC Design Guide 24 (modified for AISC 360-10 equations)
Information:
Cells requiring input are shaded yellow
Weld strength is 70 ksi
For through-plate connection, spreadsheet assumes 2 rows of bolts
2" from end of beam to centerline of first bolt holes
Bolt spacing s = 3" for db 1 1/8"; s = 2.67*db for db > 1 1/8"
When HSS column is rectangular, enter "wide" or "narrow" for controlling column face
failure to enter "wide" or "narrow" will result in an error
"wide" or "narrow" not required with square or round columns
**Spreadsheet checks moment connection only--engineer is responsible for checking
structural adequacy of column and beam
**shear resistance of connection is checked by a different spreadsheet

Title:
Subject:

Project #

Through-Plate Moment Connection

Input
Code = ASD
HSS column
Shape = Square
Steel Grade = ASTM A1085
Section = HSS8X8X1/2
wide
Wide Flange Beam
Steel Grade = ASTM A992
Section = W14X30
Top and bottom through plates
Steel Fy =
36
bolt diameter =
3/4
bolt type =
A325N
plate t =
5/16
n=
bolt gage g =

4
3.5

ksi
in
in

use different plate thickness?

number of bolts ea side

use different # of bolts?

in

Analysis Loads
Left Beam Reaction
DL
LL
Lr or S
W
E

Right Beam Reaction

Vleft (k)

Mleft (k*ft)

-3
-10

15
25

-2
-30
-20

Column Loads
DL
LL
Lr OR S
W
E

P (k)
30
60

DL
LL
Lr or S
W
E

0
0

Title:
Subject:

Project #

plate t =
plate b =

5/16
10

Results
pl force Ra =
plate L =

38 k
22 in

Tensile yielding of through plate

Rn/ =

67 k

Ra/(Rn/) =

0.57

Tensile rupture of through plate

Rn/ =

75 k

Ra/(Rn/) =

0.51

Ra/(Rn/) =

0.60

Compressive yielding and buckling of through plate

Rn/ =
64 k
Bolt shear
Rn/ =

48 k

Ra/(Rn/) =

0.80

Bolt bearing on through plate

total Rn/ =

45 k

Ra/(Rn/) =

0.85

Bolt bearing on beam flange

total Rn/ =

90 k

Ra/(Rn/) =

0.42

Block shear rupture of through plate

Rn/ =
51 k

Ra/(Rn/) =

0.75

Block shear rupture of beam flange

Rn/ =
85 k

Ra/(Rn/) =

0.45

Fillet weld size

weld size =

5/16

in, all around

Fillet weld exceeds the maximum

through plate thickness

use thru PL 5/16x10x1'-10 with 5/16 in fillet weld

and (4) 3/4 in A325N bolts

Date:
By:

11/4/2015

different plate thickness?

no
different # of bolts?
no

ht Beam Reaction
Vright (k)
5
15

Mright (k*ft)
15
30

Date:
By:

11/4/2015
0

in
in

OK

OK

OK

OK

OK

OK

OK

OK

t weld exceeds the maximum; increase

ugh plate thickness

Title:
Subject:

Project #

Continuous Beam over HSS Column Connection

Input
Code = ASD
HSS Column
Shape = Square
Steel Grade = ASTM A1085
Section = HSS8X8X5/16
wide
Wide Flange Beam
Steel Grade = ASTM A992
Section = W18X40
Column Cap Plate
Steel Fy =
bolt diameter =
bolt type =
plate t =

36
3/4
A325N
1/ 2

bolt edge dist =

bolt gage 'g' =

1.5
3.5

ksi
in
in

in, parallel to beam

in
is column located within beam depth d
of the end of the beam?

Analysis Loads
Loads at top of Column
DL
LL
Lr or S
W
E

P (k)
3
10

M (k*ft)
-4.5
-13.5

Title:
Subject:

Results
Bolt force Ta =
Comp force Pa =
cap pl L =
Bolt tensile strength
tf min = 0.441 in
tpl min = 0.464 in
rn/ =

0
0

Project #

10.34 k/bolt
30 k
14 in

cap pl t =
cap pl B =

1/ 2
9

19.9 k/bolt

tf = 0.525 in
tpl = 0.5 in
Ta/(rn/) =

0.52

Beam flange local bending

Rn/ =

26 k

Ra/(Rn/) =

1.17

Beam web local yielding

Rn/ =

54 k

Ra/(Rn/) =

0.56

Beam web crippling

Rn/ =

37 k

Ra/(Rn/) =

0.82

HSS wall local yielding

Rn/ =

70 k

Ra/(Rn/) =

0.43

HSS wall local crippling

Rn/ =

154 k

Ra/(Rn/) =

0.20

Fillet weld size for tension

weld size =

1/ 4 in all around, HSS to cap plate

use cap PL 1/2x9x1'-2 with 1/4 fillet weld

and (4) 3/4 in A325N bolts

Date:
By:

ed within beam depth d

of the end of the beam? Yes
within d/2? Yes
within 10tf?
Yes

11/4/2015

Date:
By:

in
in

OK

NO GOOD

OK

OK

OK

OK

11/4/2015
0

Title:
Subject:

Project #

Directly Welded Connection

Input
Code = ASD
HSS Column
Shape = Square
Steel Grade = ASTM 500 Gr B
Section = HSS12X12X3/8
narrow
Wide Flange Beam
Steel Grade = ASTM A992
Section = W18X35
no
beam on each
side of col?
Analysis Loads
Column Loads
DL
LL
Lr
W
E

P (k)
-3
-10

M (k-ft)
-4.2
-12.5

-2
-30
-20

Beam Loads
DL
LL
Lr
W
E

V (k)
-20
-40

M (k-ft)
-8.3
-12

0
0

Title:
Subject:

Project #

Pa =

14

Ra/(Rn/) =

0.80

Results
Ma =

20 k-ft

Local yielding of beam flange

Rn/ =

18 k

HSS shear yielding/punching

Rn/ = N/A
k
check not required due to bf<0.85B or bf>B-2t
Local yielding of HSS sidewalls
Rn/ = N/A
k
check not required due to 1.0
Local crippling of HSS sidewalls
Rn/ = N/A
k
check not required due to 1.0
Weld
type of weld

fillet
3/16 in fillet weld

Connection has adequate moment capacity

Date:
By:

11/4/2015

Date:
By:

OK

11/4/2015
0

Factored Loading from service loads input

LC1
LC2
LC3
LC4
Vu (k) left
-4.2
-20.6
-21.8
Vu (k) right
7
30
21
Vu (k) top
42
132
96

LC5

LC6

-44.6

-34

-32.7

21

21

4.5

96

96

27

Mu, left (k-ft)

21

58

43

43

43

13.5

Mu, right (k-ft)

21

66

48

48

48

13.5

total Vu =

44.8

141.4

95.2

72.4

83

-1.2

net Mu =

Service Loading from service loads input

LC1
LC2
LC3
Va (k) left
-3
-13
Va (k) right
5
20

LC4

LC5

LC6

-5

-12

-21

-17

16.25

Va (k) top

30

90

28

75

30

30

Ma, left (k-ft)

15

40

15

33.75

15

15

Ma, right (k-ft)

15

45

15

37.5

15

15

total Va =

32

97

28

79.25

14

18

net Ma =

3.75

Parameters
Column Fy =

column
50

H=

Beam Fy =

50

B=

Plate Fy =

36

D=
t=

0.5

Column Fu =

65

Beam Fu =

65

controlling dim =

Plate Fu =

58

opp dim =

assume pl t =

0.385

plate b =

10

approx Ru =
code = ASD
db =

55.8 k
3/4

approx Ra =
g=

38.1 k
3.5

s=

bolt type = A325N

Calculations
bolt shear
LRFD
rn =
17.89 k
n=

3.12
4
n used =

hole d =

0.875

ASD
rn/ =

11.93 k
3.19
4

n=
4

plate thickness checks

LRFD
tensile yielding of through plate
tp = 0.172326

tp =

tensile rupture of through plate

tp = 0.1555796

tp = 0.1591155

bolt bearing on plate

tp = N/A

tp = 0.2651925

Lc =

0.56

tp = 0.2342309
max tp = 0.2651925

Lgv =

block shear on plate

tp = 0.2290258
max tp = 0.2290258
4 /16
4 /16

ASD
0.176595

5 /16
5 /16

compressive buckling
rp = 0.0721688
KL/r = 41.569219
Pn = 82.174093
Pn = 73.956684

Pn = 102.71762
Pn/ = 61.507555

4 /16
tp =

1/ 4 in

5 /16
tp =

tensile yielding of through plate

LRFD
actual tp =
1/ 4 in

5/16 in

ASD
5/16 in

pl force Ru =

56 k

pl force Ra =

38 k

Rn =

81 k

Rn/ =

67 k

tensile rupture of through plate

tp =
0.3125
Rn = FuAe
An =

2.58 in2

Ae =

2.58 in2

Rn =

150 k
LRFD

Rn =

ASD
112 k

Rn/ =

75 k

compressive yielding and buckling of through plate

rp =
0.090 in
KL/r =
33.26
L = bolt spacing
Pn = 106.13721 k
LRFD
Rn =

ASD
Rn/ =

64 k

bolt bearing on plates

Lc,end =
0.56 in
Rn, end =
12.23 k
Lc, int =
2.125 in
Rn, int =
32.63 k
total Rn =
90 k
totalRn =
67 k

total Rn/ =

45 k

bolt bearing on beam

Lc,end =
Rn, end =
Lc, int =
Rn, int =
total Rn =
totalRn =

total Rn/ =

90 k

96 k

flange
1.56 in
45.05 k
2.125 in
45.05 k
180 k
135

block shear rupture of through plate

Rn =
102 k
Lgv =
4 in
Agv =

2.5 in2

Anv =

1.68 in2

Ant =

0.82 in2
LRFD

Rn =

ASD
76 k

Rn/ =

51 k

block shear rupture of beam flange

Rn =
170 k
Lgv =
5 in
Agv =

3.85 in2

Anv =

2.84 in2

Ant =

0.91 in2
LRFD

Rn =

ASD
127 k

Rn/ =

85 k

weld size for plate to HSS connection

design weld for combined axial force and moment on compression side
Aw =
32 *tthroat
Iw =

341 *tthroat
LRFD

D=

ASD
4.43
5
5
5/16 in fillet

use

D=

use

5/16
pl t =

4.48
5
5
5/16 in fillet
5/16

0.3125

min fillet =

3 /16
5 /16

fillet t =

5/16
pl L =

5/16

22
1.8333333
0.8333333
1 ft

pl t =
pl t = 5/16

5 /16 in

0.85

10 in

5/16

pl t =

5/16

LC7
-22.7
4.5
27
13.5

58

13.5

66

8.8

141.4

Vconn =

Mconn =

141 k
12 k-ft

50.6

LC7

LC8

LC9

LC10

-25.5

-22.5

-19.8

-15.8

16.25

16.25

75

75

18

18

33.75

33.75

40

37.5

37.5

45

65.75

68.75

1.2

5.2

97

3.75

3.75

5
33

beam
bf =

6.73

Vconn =

97

d=
tf =

13.8

Mconn =

0.385

3/4

Ru/Rn =
Ra/(Rn/) =

NO GOOD

ASCE 7-10 Load Combinations

LRFD
LC1

1.4D

LC2

1.2D + 1.6L + 0.5(Lr or S or R)

LC3

1.2D + 1.6(Lr or S or R) + (L or 0.5W)

LC4

1.2D + W + L + 0.5(Lr or S or R)

LC5
LC6

1.2D + 1.0E + L + 0.2S

0.9D + 1.0W

LC7

0.9D + 1.0E

ASD
LC1
LC2
LC3

D
D+L
D + (Lr or S or R)

LC4
LC5

D + 0.75L + 0.75(Lr or S or R)

LC6
LC7

D + 0.7E
D + 0.75L + 0.75(0.6W) + 0.75(Lr or S or R)

LC8

D + 0.75L + 0.75(0.7E) + 0.75S

LC9

0.6D + 0.6W

LC10

0.6D + 0.7E

Vconn =

D + 0.6W

97 k

Mconn =

8 k-ft

yes
no

Square
Rectangular
Round
ASTM A1085

50

65

ASTM 500 Gr B

46

58

ASTM 500 Gr C
ASTM A53 Gr B

50
35

62
60

Custom
Square
HSS16X16X5/8

Rectangle
HSS20X12X5/8

Round
HSS20X0.500

HSS16X16X1/2

HSS20X12X1/2

HSS20X0.375

HSS16X16X3/8
HSS16X16X5/16

HSS20X12X3/8
HSS20X12X5/16

HSS18X0.500
HSS18X0.375

HSS14X14X5/8

HSS20X8X5/8

HSS16X0.625

HSS14X14X1/2

HSS20X8X1/2

HSS16X0.500

HSS14X14X3/8

HSS20X8X3/8

HSS16X0.438

HSS14X14X5/16

HSS20X8X5/16

HSS16X0.375

HSS12X12X5/8
HSS12X12X1/2

HSS20X4X1/2
HSS20X4X3/8

HSS16X0.312
HSS16X0.250

HSS12X12X3/8

HSS20X4X5/16

HSS14X0.625

HSS12X12X5/16
HSS12X12X1/4
HSS12X12X3/16
HSS10X10X5/8
HSS10X10X1/2

HSS20X4X1/4
HSS18X6X5/8
HSS18X6X1/2
HSS18X6X3/8
HSS18X6X5/16

HSS14X0.500
HSS14X0.375
HSS14X0.312
HSS14X0.250
HSS12.750X0.500

HSS10X10X3/8

HSS18X6X1/4

HSS12.750X0.375

HSS10X10X5/16

HSS16X12X5/8

HSS12.750X0.250

HSS10X10X1/4
HSS10X10X3/16

HSS16X12X1/2
HSS16X12X3/8

HSS10.750X0.500
HSS10.750X0.375

HSS9X9X5/8

HSS16X12X5/16

HSS10.750X0.250

HSS9X9X1/2

HSS16X8X5/8

HSS10X0.625

HSS9X9X3/8
HSS9X9X5/16
HSS9X9X1/4
HSS9X9X3/16

HSS16X8X1/2
HSS16X8X3/8
HSS16X8X5/16
HSS16X8X1/4

HSS10X0.500
HSS10X0.375
HSS10X0.312
HSS10X0.250

HSS9X9X1/8
HSS8X8X5/8

HSS16X4X5/8
HSS16X4X1/2

HSS10X0.188
HSS9.625X0.500

HSS8X8X1/2

HSS16X4X3/8

HSS9.625X0.375

HSS8X8X3/8
HSS8X8X5/16
HSS8X8X1/4
HSS8X8X3/16

HSS16X4X5/16
HSS16X4X1/4
HSS16X4X3/16
HSS14X10X5/8

HSS9.625X0.312
HSS9.625X0.250
HSS9.625X0.188
HSS8.625X0.625

HSS8X8X1/8
HSS7X7X5/8
HSS7X7X1/2
HSS7X7X3/8
HSS7X7X5/16
HSS7X7X1/4
HSS7X7X3/16
HSS7X7X1/8

HSS14X10X1/2
HSS14X10X3/8
HSS14X10X5/16
HSS14X10X1/4
HSS14X6X5/8
HSS14X6X1/2
HSS14X6X3/8
HSS14X6X5/16

HSS8.625X0.500
HSS8.625X0.375
HSS8.625X0.322
HSS8.625X0.250
HSS8.625X0.188
HSS7.625X0.375
HSS7.625X0.328
HSS7.500X0.500

HSS6X6X5/8
HSS6X6X1/2
HSS6X6X3/8

HSS14X6X1/4
HSS14X6X3/16
HSS14X4X5/8

HSS7.500X0.375
HSS7.500X0.312
HSS7.500X0.250

HSS6X6X5/16
HSS6X6X1/4
HSS6X6X3/16

HSS14X4X1/2
HSS14X4X3/8
HSS14X4X5/16

HSS7.500X0.188
HSS7X0.500
HSS7X0.375

HSS6X6X1/8
HSS5-1/2X5-1/2X3/8
HSS5-1/2X5-1/2X5/16

HSS14X4X1/4
HSS14X4X3/16
HSS12X10X1/2

HSS7X0.312
HSS7X0.250
HSS7X0.188

HSS5-1/2X5-1/2X1/4

HSS12X10X3/8

HSS7X0.125

HSS5-1/2X5-1/2X3/16
HSS5-1/2X5-1/2X1/8
HSS5X5X1/2
HSS5X5X3/8
HSS5X5X5/16

HSS12X10X5/16
HSS12X10X1/4
HSS12X8X5/8
HSS12X8X1/2
HSS12X8X3/8

HSS6.875X0.500
HSS6.875X0.375
HSS6.875X0.312
HSS6.875X0.250
HSS6.875X0.188

HSS5X5X1/4
HSS5X5X3/16

HSS12X8X5/16
HSS12X8X1/4

HSS6.625X0.500
HSS6.625X0.432

HSS5X5X1/8

HSS12X8X3/16

HSS6.625X0.375

HSS4-1/2X4-1/2X1/2
HSS4-1/2X4-1/2X3/8
HSS4-1/2X4-1/2X5/16
HSS4-1/2X4-1/2X1/4

HSS12X6X5/8
HSS12X6X1/2
HSS12X6X3/8
HSS12X6X5/16

HSS6.625X0.312
HSS6.625X0.280
HSS6.625X0.250
HSS6.625X0.188

HSS4-1/2X4-1/2X3/16
HSS4-1/2X4-1/2X1/8
HSS4X4X1/2
HSS4X4X3/8

HSS12X6X1/4
HSS12X6X3/16
HSS12X4X5/8
HSS12X4X1/2

HSS6.625X0.125
HSS6X0.500
HSS6X0.375
HSS6X0.312

HSS4X4X5/16

HSS12X4X3/8

HSS6X0.280

HSS4X4X1/4
HSS4X4X3/16

HSS12X4X5/16
HSS12X4X1/4

HSS6X0.250
HSS6X0.188

HSS4X4X1/8

HSS12X4X3/16

HSS6X0.125

HSS3-1/2X3-1/2X3/8
HSS3-1/2X3-1/2X5/16

HSS12X3-1/2X3/8
HSS12X3-1/2X5/16

HSS5.563X0.500
HSS5.563X0.375

HSS3-1/2X3-1/2X1/4

HSS12X3X5/16

HSS5.563X0.258

HSS3-1/2X3-1/2X3/16

HSS12X3X1/4

HSS5.563X0.188

HSS3-1/2X3-1/2X1/8

HSS12X3X3/16

HSS5.563X0.134

HSS3X3X3/8

HSS12X2X5/16

HSS5.500X0.500

HSS3X3X5/16
HSS3X3X1/4

HSS12X2X1/4
HSS12X2X3/16

HSS5.500X0.375
HSS5.500X0.258

HSS3X3X3/16
HSS3X3X1/8
HSS2-1/2X2-1/2X5/16

HSS10X8X5/8
HSS10X8X1/2
HSS10X8X3/8

HSS5X0.500
HSS5X0.375
HSS5X0.312

HSS2-1/2X2-1/2X1/4
HSS2-1/2X2-1/2X3/16

HSS10X8X5/16
HSS10X8X1/4

HSS5X0.258
HSS5X0.250

HSS2-1/2X2-1/2X1/8
HSS2-1/4X2-1/4X1/4

HSS10X8X3/16
HSS10X6X5/8

HSS5X0.188
HSS5X0.125

HSS2-1/4X2-1/4X3/16
HSS2-1/4X2-1/4X1/8
HSS2X2X1/4
HSS2X2X3/16
HSS2X2X1/8

HSS10X6X1/2
HSS10X6X3/8
HSS10X6X5/16
HSS10X6X1/4
HSS10X6X3/16
HSS10X5X3/8
HSS10X5X5/16
HSS10X5X1/4

HSS4.500X0.375
HSS4.500X0.337
HSS4.500X0.237
HSS4.500X0.188
HSS4.500X0.125
HSS4X0.313
HSS4X0.250
HSS4X0.237

HSS10X5X3/16
HSS10X4X5/8
HSS10X4X1/2
HSS10X4X3/8
HSS10X4X5/16
HSS10X4X1/4
HSS10X4X3/16
HSS10X4X1/8

HSS4X0.226
HSS4X0.220
HSS4X0.188
HSS4X0.125
HSS3.500X0.313
HSS3.500X0.300
HSS3.500X0.250
HSS3.500X0.216

HSS10X3-1/2X1/2
HSS10X3-1/2X3/8
HSS10X3-1/2X5/16

HSS3.500X0.203
HSS3.500X0.188
HSS3.500X0.125

HSS10X3-1/2X1/4

HSS3X0.250

HSS10X3-1/2X3/16

HSS3X0.216

HSS10X3-1/2X1/8

HSS3X0.203

HSS10X3X3/8

HSS3X0.188

HSS10X3X5/16
HSS10X3X1/4

HSS3X0.152
HSS3X0.134

HSS10X3X3/16

HSS3X0.125

HSS10X3X1/8
HSS10X2X3/8

HSS2.875X0.250
HSS2.875X0.203

HSS10X2X5/16

HSS2.875X0.188

HSS10X2X1/4

HSS2.875X0.125

HSS10X2X3/16

HSS2.500X0.250

HSS10X2X1/8

HSS2.500X0.188

HSS9X7X5/8
HSS9X7X1/2

HSS2.500X0.125
HSS2.375X0.250

HSS9X7X3/8
HSS9X7X5/16
HSS9X7X1/4
HSS9X7X3/16

HSS2.375X0.218
HSS2.375X0.188
HSS2.375X0.154
HSS2.375X0.125

HSS9X5X5/8

HSS1.900X0.188

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

HSS1.900X0.145
HSS1.900X0.120
HSS1.660X0.140

HSS8X2X5/16
HSS8X2X1/4
HSS8X2X3/16
HSS8X2X1/8
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
HSS7X2X1/4
HSS7X2X3/16
HSS7X2X1/8
HSS6X5X1/2
HSS6X5X3/8
HSS6X5X5/16
HSS6X5X1/4
HSS6X5X3/16
HSS6X5X1/8
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
HSS5X4X1/8
HSS5X3X1/2
HSS5X3X3/8
HSS5X3X5/16
HSS5X3X1/4
HSS5X3X3/16
HSS5X3X1/8
HSS5X2-1/2X1/4
HSS5X2-1/2X3/16
HSS5X2-1/2X1/8
HSS5X2X3/8
HSS5X2X5/16
HSS5X2X1/4
HSS5X2X3/16
HSS5X2X1/8
HSS4X3X3/8
HSS4X3X5/16
HSS4X3X1/4
HSS4X3X3/16
HSS4X3X1/8
HSS4X2-1/2X3/8
HSS4X2-1/2X5/16
HSS4X2-1/2X1/4
HSS4X2-1/2X3/16
HSS4X2-1/2X1/8
HSS4X2X3/8
HSS4X2X5/16
HSS4X2X1/4
HSS4X2X3/16
HSS4X2X1/8
HSS3-1/2X2-1/2X3/8
HSS3-1/2X2-1/2X5/16
HSS3-1/2X2-1/2X1/4
HSS3-1/2X2-1/2X3/16
HSS3-1/2X2-1/2X1/8

HSS3-1/2X2X1/4
HSS3-1/2X2X3/16

HSS3-1/2X2X1/8
HSS3-1/2X1-1/2X1/4
HSS3-1/2X1-1/2X3/16
HSS3-1/2X1-1/2X1/8
HSS3X2-1/2X5/16
HSS3X2-1/2X1/4
HSS3X2-1/2X3/16
HSS3X2-1/2X1/8
HSS3X2X5/16
HSS3X2X1/4
HSS3X2X3/16
HSS3X2X1/8
HSS3X1-1/2X1/4
HSS3X1-1/2X3/16
HSS3X1-1/2X1/8
HSS3X1X3/16
HSS3X1X1/8
HSS2-1/2X2X1/4
HSS2-1/2X2X3/16
HSS2-1/2X2X1/8
HSS2-1/2X1-1/2X1/4
HSS2-1/2X1-1/2X3/16
HSS2-1/2X1-1/2X1/8
HSS2-1/2X1X3/16
HSS2-1/2X1X1/8
HSS2-1/4X2X3/16
HSS2-1/4X2X1/8
HSS2X1-1/2X3/16
HSS2X1-1/2X1/8

HSS2X1X3/16
HSS2X1X1/8

Yes
No

wide
narrow

ASD
LRFD

ASTM A36

36

58

ASTM A992

50

65

ASTM A36

36

58

ASTM A572

50

65

1/2

std
edge dist hole diam
0.196
0.75
0.5625

HSS16X16X1/2

5/8

0.307

0.875

0.6875

HSS16X16X3/8
HSS16X16X5/16

3/4
7/8

0.442
0.601

1
1.125

0.8125
0.9375

0.785

1.25

1.0625

Selected Shapes
HSS16X16X5/8

HSS14X14X5/8

bolt d

HSS14X14X1/2

1 1/8

0.994

1.5

1.1875

HSS14X14X3/8

1 1/4

1.227

1.625

1.3125

HSS14X14X5/16

1 3/8

1.485

1.71875

1.4375

HSS12X12X5/8
HSS12X12X1/2

1 1/2

1.767

1.875

1.5625

HSS12X12X3/8
HSS12X12X5/16
HSS12X12X1/4
HSS12X12X3/16
HSS10X10X5/8
HSS10X10X1/2

Fu = 58

Fu = 65

5/8
3/4
7/8
1

43.5
52.2
60.9
67.4

48.8
58.5
68.3
75.6

HSS10X10X3/8

1 1/8

63.1

70.7

HSS10X10X5/16

1 1/4

70.3

78.8

HSS10X10X1/4
HSS10X10X3/16

1 3/8
1 1/2

77.6
84.8

86.9
95.1

pl
bm

HSS9X9X5/8
HSS9X9X1/2
HSS9X9X3/8
HSS9X9X5/16
HSS9X9X1/4
HSS9X9X3/16

plate thickness
3
4
5
6

4
5
6
8

1
2
3
4

HSS9X9X1/8
HSS8X8X5/8

8
10

10
12

5
6

HSS8X8X1/2

12

14

HSS8X8X3/8
HSS8X8X5/16
HSS8X8X1/4
HSS8X8X3/16

14
16
20
24

16
20
24
28

8
9
10
11

HSS8X8X1/8
HSS7X7X5/8
HSS7X7X1/2
HSS7X7X3/8
HSS7X7X5/16
HSS7X7X1/4
HSS7X7X3/16
HSS7X7X1/8

28
32

32
36

12
13
14
15
16
17
18
19

HSS6X6X5/8
HSS6X6X1/2
HSS6X6X3/8

20
21
22

HSS6X6X5/16
HSS6X6X1/4
HSS6X6X3/16

23
24
25

HSS6X6X1/8
HSS5-1/2X5-1/2X3/8
HSS5-1/2X5-1/2X5/16

26
27
28

HSS5-1/2X5-1/2X1/4

29

HSS5-1/2X5-1/2X3/16
HSS5-1/2X5-1/2X1/8
HSS5X5X1/2
HSS5X5X3/8
HSS5X5X5/16

30
31
32
33
34

HSS5X5X1/4
HSS5X5X3/16

35
36

HSS5X5X1/8

37

HSS4-1/2X4-1/2X1/2
HSS4-1/2X4-1/2X3/8
HSS4-1/2X4-1/2X5/16
HSS4-1/2X4-1/2X1/4

38
39
40
41

HSS4-1/2X4-1/2X3/16
HSS4-1/2X4-1/2X1/8
HSS4X4X1/2
HSS4X4X3/8

42
43
44
45

HSS4X4X5/16

46

HSS4X4X1/4
HSS4X4X3/16

47
48

HSS4X4X1/8

HSS3-1/2X3-1/2X3/8
HSS3-1/2X3-1/2X5/16
HSS3-1/2X3-1/2X1/4
HSS3-1/2X3-1/2X3/16
HSS3-1/2X3-1/2X1/8
HSS3X3X3/8
HSS3X3X5/16
HSS3X3X1/4
HSS3X3X3/16
HSS3X3X1/8
HSS2-1/2X2-1/2X5/16
HSS2-1/2X2-1/2X1/4
HSS2-1/2X2-1/2X3/16
HSS2-1/2X2-1/2X1/8
HSS2-1/4X2-1/4X1/4
HSS2-1/4X2-1/4X3/16
HSS2-1/4X2-1/4X1/8
HSS2X2X1/4
HSS2X2X3/16
HSS2X2X1/8

grade
A325N

asd ksi

lrfd ksi
27

40.5

A325X

34

51

A490N
A490X

34
42

51
63

52.2
58.5

te thickness

min weld

fillet weld thickness

3
3
3
4

3
3
3
3

1
2
3
4

3
3
3
4

5
6

3
3

5
6

5
6

8
10
10
12

4
4
4
5

8
9
10
11

8
10
10
12

12
14
14
16
16
18
18
20

5
5
5
5
5
5
5
5

12

12

20
22
22

5
5
5

24
24
26

5
5
5

26
28
28

5
5
5

30

30
32
32
34
34

5
5
5
5
5

36
36

5
5

38

38
40
40
44

5
5
5
5

44
44
44
48

5
5
5
5

48

48
48

5
5

Factored Loading from service loads input

LC1
LC2
LC3
LC4
Pu (k)
4.2
19.6
13.6
Mu (k-ft)
-6.3
-27
-18.9

Service Loading from service loads input

LC1
LC2
LC3
Pa (k)
3
13
Ma (k-ft)
-4.5
-18

LC5

LC6

13.6

13.6

2.7

-18.9

-18.9

-4.05

LC4

LC5

LC6

10.5

-4.5

-14.625

-4.5

-4.5

Parameters
Column Fy =

column
50

H=

Beam Fy =

50

B=

Plate Fy =

36

D=
t=

0.313

Column Fu =

65

A=

9.37

Beam Fu =

65

controlling dim =

Plate Fu =

58

tp =

1/ 2

opp dim =
plate l =
plate b =

8
14
9
Square

code = ASD
db =
bolt type = A325N

3/4

g=
bolt stance =

3.5
11 in

within 10tf?

3/4

Calculations
tension load in bolt
LRFD
Bolt force Tu =
12.93 k/bolt
Pu =
20 k
B=
29.82 k
prying on beam flange
b=
1.5925 in
a=
1.26 in
=
0.745
=
1.755
p=
3.185
=
0.745
' =
1
tmin =
0.44 in
tc =
0.883 in
=
0.303
q=
1.773 k
prying on cap plate
b=
a=
=
=
p=
=
' =
tmin =
tc =
=
q=

1.5 in
1.5 in
0.6
2.178
3.000
0.729
1
0.463 in
0.926 in
0.666
2.536 k

ASD
olt force Ta =
Pa =
B=

8.63 k/bolt
13 k
19.88 k

b' =
a' =

1.2175 in
1.635 in

1.750

'
tmin
tc

=
=
=
=
=

1
0.441 in
0.884 in
0.309
1.203 k

b' =
a' =

1.125 in
1.875 in

2.172

'
tmin
tc

=
=
=
=
=

0.3091062

1
0.464 in
0.927 in
0.674
1.706 k

0.6736178
q max =

bolt tension strength

rn =

29.82 k/bolt

Pu =
45 k
beam flange local bending
Rn =
43
Rn =
39 k
beam web local yielding
lb =
2.81 in
Rn =
81 k

rn/ =

19.88 k/bolt

Pa =

30 k

Rn/ =

26 k

1.71

Rn =

81 k

Rn/ =

54 k

2.81 in
0.16
74 k
55 k

Rn/ =

37 k

HSS wall strength

lb =
4.25
HSS wall local yielding
5tp + lb =
6.75 in
Rn =
106 k
Rn =
106 k

Rn/ =

70 k

HSS wall local crippling

Rn =
308 k
Rn =
231 k

Rn/ =

154 k

beam web crippling

lb =
lb/d =
Rn =
Rn =

Weld size HSS to cap pl

2g B
2(db+2b) B

7
7.5

8 OK
8 OK

Tu =
12.93
Ta
controlling case for weld size determination:
Tu/g =
3.693
Ta/g
Tu/(db+2b) =
3.447
Ta/(db+2b)
2Tu/B = N/A
2Ta/B
Dmin =

2.65
3
3
3/16 in fillet

use

=
=
=
= N/A

Dmin =

=
=
=
=

3/16
0.313
0.5
0.5
4 /16
4
1/4

pl L =

14
1.1666667

2.466
2.302

2.66
3
3
3/16 in fillet

use

3/16
col t
pl t
max t
min fillet

8.63

0.1666667
1 ft
pl t =
pl t = 1/2

8 /16 in

2 in

LC7

max

min

control

abs

2.7

19.6

2.7

19.6

19.6

-4.05

-4.05

-27

-27

27

LC7

LC8

LC9

LC10

Vconn =

Mconn =

k-ft

max

min

control

10.5

10.5

1.8

1.8

13

1.8

13

-14.625

-14.625

-2.7

-2.7

-2.7

-18

-18

beam
bf =

6.02

Ru/Rn =

d=
tf =

17.9

Ra/(Rn/) =

0.525

tw =

0.315

Tu/rn =

k=

0.927

Ta/(rn/) =

k1 =

13/16

within d? Yes
within d/2? Yes
within 10tf? Yes

k/bolt

ASCE 7-10 Load Combinations

LRFD
LC1

1.4D

LC2
LC3
LC4
LC5
LC6

1.2D
1.2D
1.2D
1.2D
0.9D

LC7

0.9D + 1.0E

ASD
LC1
LC2
LC3
abs

LC4
LC5
13 LC6
18 LC7
LC8
LC9
LC10

yes
no

+
+
+
+
+

1.6L + 0.5(Lr or S or R)
1.6(Lr or S or R) + (L or 0.5W)
W + L + 0.5(Lr or S or R)
1.0E + L + 0.2S
1.0W

D
D+L
D + (Lr or S or R)
D + 0.75L + 0.75(Lr or S or R)
D + 0.6W
D + 0.7E
D + 0.75L + 0.75(0.6W) + 0.75(Lr or S or R)
D + 0.75L + 0.75(0.7E) + 0.75S
0.6D + 0.6W
0.6D + 0.7E

Square
Rectangular
Round
ASTM
ASTM
ASTM
ASTM

A1085
500 Gr B
500 Gr C
A53 Gr B

50
46
50
35

65
58
62
60

Custom
Square
HSS16X16X5/8

Rectangle
HSS20X12X5/8

Round
HSS20X0.500

HSS16X16X1/2

HSS20X12X1/2

HSS20X0.375

HSS16X16X3/8
HSS16X16X5/16

HSS20X12X3/8
HSS20X12X5/16

HSS18X0.500
HSS18X0.375

HSS14X14X5/8

HSS20X8X5/8

HSS16X0.625

HSS14X14X1/2
HSS14X14X3/8
HSS14X14X5/16
HSS12X12X5/8
HSS12X12X1/2
HSS12X12X3/8

HSS20X8X1/2
HSS20X8X3/8
HSS20X8X5/16
HSS20X4X1/2
HSS20X4X3/8
HSS20X4X5/16

HSS16X0.500
HSS16X0.438
HSS16X0.375
HSS16X0.312
HSS16X0.250
HSS14X0.625

HSS12X12X5/16
HSS12X12X1/4
HSS12X12X3/16
HSS10X10X5/8
HSS10X10X1/2

HSS20X4X1/4
HSS18X6X5/8
HSS18X6X1/2
HSS18X6X3/8
HSS18X6X5/16

HSS14X0.500
HSS14X0.375
HSS14X0.312
HSS14X0.250
HSS12.750X0.500

HSS10X10X3/8

HSS18X6X1/4

HSS12.750X0.375

HSS10X10X5/16

HSS16X12X5/8

HSS12.750X0.250

HSS10X10X1/4

HSS16X12X1/2

HSS10.750X0.500

HSS10X10X3/16

HSS16X12X3/8

HSS10.750X0.375

HSS9X9X5/8

HSS16X12X5/16

HSS10.750X0.250

HSS9X9X1/2

HSS16X8X5/8

HSS10X0.625

HSS9X9X3/8
HSS9X9X5/16
HSS9X9X1/4
HSS9X9X3/16
HSS9X9X1/8
HSS8X8X5/8

HSS16X8X1/2
HSS16X8X3/8
HSS16X8X5/16
HSS16X8X1/4
HSS16X4X5/8
HSS16X4X1/2

HSS10X0.500
HSS10X0.375
HSS10X0.312
HSS10X0.250
HSS10X0.188
HSS9.625X0.500

HSS8X8X1/2
HSS8X8X3/8
HSS8X8X5/16

HSS16X4X3/8
HSS16X4X5/16
HSS16X4X1/4

HSS9.625X0.375
HSS9.625X0.312
HSS9.625X0.250

HSS8X8X1/4
HSS8X8X3/16
HSS8X8X1/8
HSS7X7X5/8
HSS7X7X1/2
HSS7X7X3/8
HSS7X7X5/16
HSS7X7X1/4
HSS7X7X3/16
HSS7X7X1/8
HSS6X6X5/8
HSS6X6X1/2
HSS6X6X3/8
HSS6X6X5/16
HSS6X6X1/4
HSS6X6X3/16
HSS6X6X1/8
HSS5-1/2X5-1/2X3/8
HSS5-1/2X5-1/2X5/16
HSS5-1/2X5-1/2X1/4
HSS5-1/2X5-1/2X3/16
HSS5-1/2X5-1/2X1/8
HSS5X5X1/2
HSS5X5X3/8
HSS5X5X5/16
HSS5X5X1/4
HSS5X5X3/16
HSS5X5X1/8
HSS4-1/2X4-1/2X1/2
HSS4-1/2X4-1/2X3/8
HSS4-1/2X4-1/2X5/16
HSS4-1/2X4-1/2X1/4
HSS4-1/2X4-1/2X3/16
HSS4-1/2X4-1/2X1/8
HSS4X4X1/2
HSS4X4X3/8
HSS4X4X5/16
HSS4X4X1/4
HSS4X4X3/16
HSS4X4X1/8
HSS3-1/2X3-1/2X3/8
HSS3-1/2X3-1/2X5/16
HSS3-1/2X3-1/2X1/4
HSS3-1/2X3-1/2X3/16
HSS3-1/2X3-1/2X1/8

HSS16X4X3/16
HSS14X10X5/8
HSS14X10X1/2
HSS14X10X3/8
HSS14X10X5/16
HSS14X10X1/4
HSS14X6X5/8
HSS14X6X1/2
HSS14X6X3/8
HSS14X6X5/16
HSS14X6X1/4
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
HSS12X3-1/2X3/8
HSS12X3-1/2X5/16
HSS12X3X5/16
HSS12X3X1/4
HSS12X3X3/16

HSS9.625X0.188
HSS8.625X0.625
HSS8.625X0.500
HSS8.625X0.375
HSS8.625X0.322
HSS8.625X0.250
HSS8.625X0.188
HSS7.625X0.375
HSS7.625X0.328
HSS7.500X0.500
HSS7.500X0.375
HSS7.500X0.312
HSS7.500X0.250
HSS7.500X0.188
HSS7X0.500
HSS7X0.375
HSS7X0.312
HSS7X0.250
HSS7X0.188
HSS7X0.125
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
HSS6X0.500
HSS6X0.375
HSS6X0.312
HSS6X0.280
HSS6X0.250
HSS6X0.188
HSS6X0.125
HSS5.563X0.500
HSS5.563X0.375
HSS5.563X0.258
HSS5.563X0.188
HSS5.563X0.134

HSS3X3X3/8
HSS3X3X5/16
HSS3X3X1/4
HSS3X3X3/16
HSS3X3X1/8
HSS2-1/2X2-1/2X5/16
HSS2-1/2X2-1/2X1/4
HSS2-1/2X2-1/2X3/16
HSS2-1/2X2-1/2X1/8
HSS2-1/4X2-1/4X1/4
HSS2-1/4X2-1/4X3/16
HSS2-1/4X2-1/4X1/8
HSS2X2X1/4
HSS2X2X3/16
HSS2X2X1/8

HSS12X2X5/16
HSS12X2X1/4
HSS12X2X3/16
HSS10X8X5/8
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
HSS10X4X1/8
HSS10X3-1/2X1/2
HSS10X3-1/2X3/8
HSS10X3-1/2X5/16
HSS10X3-1/2X1/4
HSS10X3-1/2X3/16
HSS10X3-1/2X1/8
HSS10X3X3/8
HSS10X3X5/16
HSS10X3X1/4
HSS10X3X3/16
HSS10X3X1/8
HSS10X2X3/8
HSS10X2X5/16
HSS10X2X1/4
HSS10X2X3/16
HSS10X2X1/8
HSS9X7X5/8
HSS9X7X1/2
HSS9X7X3/8

HSS5.500X0.500
HSS5.500X0.375
HSS5.500X0.258
HSS5X0.500
HSS5X0.375
HSS5X0.312
HSS5X0.258
HSS5X0.250
HSS5X0.188
HSS5X0.125
HSS4.500X0.375
HSS4.500X0.337
HSS4.500X0.237
HSS4.500X0.188
HSS4.500X0.125
HSS4X0.313
HSS4X0.250
HSS4X0.237
HSS4X0.226
HSS4X0.220
HSS4X0.188
HSS4X0.125
HSS3.500X0.313
HSS3.500X0.300
HSS3.500X0.250
HSS3.500X0.216
HSS3.500X0.203
HSS3.500X0.188
HSS3.500X0.125
HSS3X0.250
HSS3X0.216
HSS3X0.203
HSS3X0.188
HSS3X0.152
HSS3X0.134
HSS3X0.125
HSS2.875X0.250
HSS2.875X0.203
HSS2.875X0.188
HSS2.875X0.125
HSS2.500X0.250
HSS2.500X0.188
HSS2.500X0.125
HSS2.375X0.250
HSS2.375X0.218

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
HSS7X5X1/2
HSS7X5X3/8
HSS7X5X5/16
HSS7X5X1/4
HSS7X5X3/16
HSS7X5X1/8
HSS7X4X1/2

HSS2.375X0.188
HSS2.375X0.154
HSS2.375X0.125
HSS1.900X0.188
HSS1.900X0.145
HSS1.900X0.120
HSS1.660X0.140

HSS7X4X3/8
HSS7X4X5/16
HSS7X4X1/4
HSS7X4X3/16
HSS7X4X1/8
HSS7X3X1/2
HSS7X3X3/8
HSS7X3X5/16
HSS7X3X1/4
HSS7X3X3/16
HSS7X3X1/8
HSS7X2X1/4
HSS7X2X3/16
HSS7X2X1/8
HSS6X5X1/2
HSS6X5X3/8
HSS6X5X5/16
HSS6X5X1/4
HSS6X5X3/16
HSS6X5X1/8
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
HSS5X4X1/8
HSS5X3X1/2
HSS5X3X3/8

HSS5X3X5/16
HSS5X3X1/4
HSS5X3X3/16
HSS5X3X1/8
HSS5X2-1/2X1/4
HSS5X2-1/2X3/16
HSS5X2-1/2X1/8
HSS5X2X3/8
HSS5X2X5/16
HSS5X2X1/4
HSS5X2X3/16
HSS5X2X1/8
HSS4X3X3/8
HSS4X3X5/16
HSS4X3X1/4
HSS4X3X3/16
HSS4X3X1/8
HSS4X2-1/2X3/8
HSS4X2-1/2X5/16
HSS4X2-1/2X1/4
HSS4X2-1/2X3/16
HSS4X2-1/2X1/8
HSS4X2X3/8
HSS4X2X5/16
HSS4X2X1/4
HSS4X2X3/16
HSS4X2X1/8
HSS3-1/2X2-1/2X3/8
HSS3-1/2X2-1/2X5/16
HSS3-1/2X2-1/2X1/4
HSS3-1/2X2-1/2X3/16
HSS3-1/2X2-1/2X1/8

HSS3-1/2X2X1/4
HSS3-1/2X2X3/16
HSS3-1/2X2X1/8
HSS3-1/2X1-1/2X1/4
HSS3-1/2X1-1/2X3/16
HSS3-1/2X1-1/2X1/8
HSS3X2-1/2X5/16
HSS3X2-1/2X1/4
HSS3X2-1/2X3/16
HSS3X2-1/2X1/8
HSS3X2X5/16
HSS3X2X1/4
HSS3X2X3/16

HSS3X2X1/8
HSS3X1-1/2X1/4
HSS3X1-1/2X3/16
HSS3X1-1/2X1/8
HSS3X1X3/16
HSS3X1X1/8
HSS2-1/2X2X1/4
HSS2-1/2X2X3/16
HSS2-1/2X2X1/8
HSS2-1/2X1-1/2X1/4
HSS2-1/2X1-1/2X3/16
HSS2-1/2X1-1/2X1/8
HSS2-1/2X1X3/16
HSS2-1/2X1X1/8
HSS2-1/4X2X3/16
HSS2-1/4X2X1/8
HSS2X1-1/2X3/16
HSS2X1-1/2X1/8

HSS2X1X3/16
HSS2X1X1/8

Yes
No

wide
narrow

ASD
LRFD

ASTM A36
ASTM A992

36
50

58
65

ASTM A36

36

58

ASTM A572

50

65

1/2

std
edge dist hole diam
0.196
0.75
0.5625

HSS16X16X1/2

5/8

0.307

0.875

0.6875

HSS16X16X3/8
HSS16X16X5/16

3/4
7/8

0.442
0.601

1
1.125

0.8125
0.9375

0.785

1.25

1.0625

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

0.994
1.227
1.485
1.767

1.5
1.625
1.71875
1.875

1.1875
1.3125
1.4375
1.5625

Selected Shapes
HSS16X16X5/8

bolt d

HSS14X14X5/8
HSS14X14X1/2
HSS14X14X3/8
HSS14X14X5/16
HSS12X12X5/8
HSS12X12X1/2
HSS12X12X3/8
HSS12X12X5/16
HSS12X12X1/4
HSS12X12X3/16
HSS10X10X5/8
HSS10X10X1/2

1
1
1
1

bolt brg
Fu = 58

Fu = 65

5/8
3/4
7/8
1

43.5
52.2
60.9
67.4

48.8
58.5
68.3
75.6

HSS10X10X3/8

1 1/8

63.1

70.7

HSS10X10X5/16

1 1/4

70.3

78.8

HSS10X10X1/4

1 3/8

77.6

86.9

HSS10X10X3/16

1 1/2

84.8

95.1

pl
bm

HSS9X9X5/8
HSS9X9X1/2

plate thickness

HSS9X9X3/8
HSS9X9X5/16
HSS9X9X1/4
HSS9X9X3/16
HSS9X9X1/8
HSS8X8X5/8

3
4
5
6
8
10

4
5
6
8
10
12

1
2
3
4
5
6

HSS8X8X1/2
HSS8X8X3/8
HSS8X8X5/16

12
14
16

14
16
20

7
8
9

HSS8X8X1/4
HSS8X8X3/16
HSS8X8X1/8
HSS7X7X5/8
HSS7X7X1/2
HSS7X7X3/8
HSS7X7X5/16
HSS7X7X1/4
HSS7X7X3/16
HSS7X7X1/8
HSS6X6X5/8
HSS6X6X1/2
HSS6X6X3/8
HSS6X6X5/16
HSS6X6X1/4
HSS6X6X3/16
HSS6X6X1/8
HSS5-1/2X5-1/2X3/8
HSS5-1/2X5-1/2X5/16
HSS5-1/2X5-1/2X1/4
HSS5-1/2X5-1/2X3/16
HSS5-1/2X5-1/2X1/8
HSS5X5X1/2
HSS5X5X3/8
HSS5X5X5/16
HSS5X5X1/4
HSS5X5X3/16
HSS5X5X1/8
HSS4-1/2X4-1/2X1/2
HSS4-1/2X4-1/2X3/8
HSS4-1/2X4-1/2X5/16
HSS4-1/2X4-1/2X1/4
HSS4-1/2X4-1/2X3/16
HSS4-1/2X4-1/2X1/8
HSS4X4X1/2
HSS4X4X3/8
HSS4X4X5/16
HSS4X4X1/4
HSS4X4X3/16
HSS4X4X1/8
HSS3-1/2X3-1/2X3/8
HSS3-1/2X3-1/2X5/16
HSS3-1/2X3-1/2X1/4
HSS3-1/2X3-1/2X3/16
HSS3-1/2X3-1/2X1/8

20
24
28
32

24
28
32
36

10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48

HSS3X3X3/8
HSS3X3X5/16
HSS3X3X1/4
HSS3X3X3/16
HSS3X3X1/8
HSS2-1/2X2-1/2X5/16
HSS2-1/2X2-1/2X1/4
HSS2-1/2X2-1/2X3/16
HSS2-1/2X2-1/2X1/8
HSS2-1/4X2-1/4X1/4
HSS2-1/4X2-1/4X3/16
HSS2-1/4X2-1/4X1/8
HSS2X2X1/4
HSS2X2X3/16
HSS2X2X1/8

grade
A325N

asd ksi
27

A325X

34

A490N
A490X

34
42

52.2
58.5

ate thickness

min weld

fillet weld thickness

3
3
3
4
5
6

3
3
3
3
3
3

1
2
3
4
5
6

3
3
3
4
5
6

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

8
8
10

3
4
4

7
8
9

7
8
10

3/ 4
7/ 8
1

10
12
12
14
14
16
16
18
18
20
20
22
22
24
24
26
26
28
28
30
30
32
32
34
34
36
36
38
38
40
40
44
44
44
44
48
48
48
48

4
4
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5

10
11
12

10
12
12

1
1
1
1
1
1
1

1/
1/
3/
1/
5/
3/
7/
2

8
4
8
2
8
4
8

Factored Loading from service loads input

LC1
LC2
LC3
LC4
LC5
LC6
Pu col (k)
-4.2
-20.6
-21.8
-44.6
-34
Mu col (k-ft)
-5.88
-25.04
-17.54
-17.54
-17.54
Vu bm (k)
-28
-88
-64
-64
-64
Mu bm (k-ft)
-11.62
-29.16
-21.96
-21.96
-21.96

Service Loading from service loads input

LC1
LC2
LC3
Pa col (k)
-3
-13
Ma col (k-ft)
-4.2
-16.7
Va bm (k)
Ma bm (k-ft)

-20
-8.3

-60
-20.3

LC4

LC5

-5

-12

-21

-17

-4.2
-20
-8.3

-13.575
-50
-17.3

-4.2
-20
-8.3

-4.2
-20
-8.3

46

H=

12

Beam Fy =

50

B=

12

column

D=

Beam Fu =

code = ASD
cross/T: T
Square

-3.78
-18
-7.47

LC6

Parameters
Column Fy =

Column Fu =

-32.7

t=

0.349

58

A=

16

65

controlling dim =
opp dim =
Sx =
Sy =

12
12
59.5
59.5

Limits

B/t
H/t
bf/B

=
=
=
=

90
34.38
34.38
0.50

30 OK
35 OK
35 OK
OK

0.25 bf/B
0

Calcs
LRFD
Mu =
Pu =
=

ASD
29 k-ft
20 k
0.50

Ma =
Pa =

Local yielding of beam flange

Rn =
28.0 k
Rn =
26.6 k
HSS shear yielding/punching
10.2

Bep =
Rn = N/A
Rn = N/A

Rn/ =

20 k-ft
14 k

17.7 k

11.302

1.75
k
k

Rn/ = N/A

Local yielding of HSS sidewalls

lb =
2.17
Rn = N/A
k
Rn = N/A
k

Rn/ = N/A

Local crippling of HSS sidewalls

lb =
2.17
Fc =
46
U=
0.170
Qf =
1.000
=
0.75
Rn = N/A
Rn = N/A
k
HSS local yielding
Fc =
U=
Qf =

46
0.170
0.940

27.6
0.180
1.000
2.00

N/A
Rn/ = N/A

27.6
0.180
0.936

Rn = N/A
Rn = N/A

controlling check =
weld
CJP

N/A
Rn/ = N/A

0.80

controlled by base metal

Pn =
127.5 k
Pn =
115 k

PJP

14.101302
Pn/ =

76 k

76.347305

weld
Pu =
tw =

20 k
0.100 in
base metal
tf =
0.069 in
3 /16
3/16

Pa =

14 k
0.105 in
0.072 in
3 /16
3/16

3/16

fillet
tw =

0.071 in
3
3/16

0.075 in
3
3/16

3/16

LC7

max

min

control

abs val

-22.7

-4.2

-44.6

-44.6

44.6

-3.78
-18
-7.47

-3.78
-18
-7.47

-25.04
-88
-29.16

-25.04
-88
-29.16

25.04
88
29.16

LC7

LC8

LC9

LC10

max

min

control

-25.5

-22.5

-19.8

-15.8

-3

-25.5

-25.5

-13.575
-50
-17.3

-13.575
-50
-17.3

-2.52
-12
-4.98

-2.52
-12
-4.98

-2.52
-12
-4.98

-16.7
-60
-20.3

-16.7
-60
-20.3

beam
bf =

d=
tf =

17.7
0.425

tw =

0.3

k=

0.827

k1 =

3/ 4

Ru/Rn =
Ra/(Rn/) =
Tu/rn =
Ta/(rn/) =

1.0

ASCE 7-10 Load Combinations

LRFD
LC1

1.4D

LC2
LC3
LC4
LC5
LC6
LC7
ASD
LC1
LC2

1.2D
1.2D
1.2D
1.2D
0.9D
0.9D

LC3
abs val

LC4
LC5

25.5 LC6
16.7 LC7
60 LC8
20.3 LC9
LC10

yes
no

+
+
+
+
+
+

1.6L + 0.5(Lr or S or R)
1.6(Lr or S or R) + (L or 0.5W)
W + L + 0.5(Lr or S or R)
1.0E + L + 0.2S
1.0W
1.0E

D
D+L
D + (Lr or S or R)
D + 0.75L + 0.75(Lr or S or R)
D + 0.6W
D + 0.7E
D + 0.75L + 0.75(0.6W) + 0.75(Lr or S or R)
D + 0.75L + 0.75(0.7E) + 0.75S
0.6D + 0.6W
0.6D + 0.7E

Square
Rectangular
Round
ASTM A1085
ASTM 500 Gr B
ASTM 500 Gr C
ASTM A53 Gr B
Custom

50
46
50
35

65
58
62
60

Square
HSS16X16X5/8

Rectangle
HSS20X12X5/8

Round
HSS20X0.500

HSS16X16X1/2

HSS20X12X1/2

HSS20X0.375

HSS16X16X3/8
HSS16X16X5/16

HSS20X12X3/8
HSS20X12X5/16

HSS18X0.500
HSS18X0.375

HSS14X14X5/8

HSS20X8X5/8

HSS16X0.625

HSS14X14X1/2
HSS14X14X3/8
HSS14X14X5/16
HSS12X12X5/8
HSS12X12X1/2
HSS12X12X3/8

HSS20X8X1/2
HSS20X8X3/8
HSS20X8X5/16
HSS20X4X1/2
HSS20X4X3/8
HSS20X4X5/16

HSS16X0.500
HSS16X0.438
HSS16X0.375
HSS16X0.312
HSS16X0.250
HSS14X0.625

HSS12X12X5/16
HSS12X12X1/4
HSS12X12X3/16
HSS10X10X5/8
HSS10X10X1/2

HSS20X4X1/4
HSS18X6X5/8
HSS18X6X1/2
HSS18X6X3/8
HSS18X6X5/16

HSS14X0.500
HSS14X0.375
HSS14X0.312
HSS14X0.250
HSS12.750X0.500

HSS10X10X3/8

HSS18X6X1/4

HSS12.750X0.375

HSS10X10X5/16

HSS16X12X5/8

HSS12.750X0.250

HSS10X10X1/4

HSS16X12X1/2

HSS10.750X0.500

HSS10X10X3/16

HSS16X12X3/8

HSS10.750X0.375

HSS9X9X5/8

HSS16X12X5/16

HSS10.750X0.250

HSS9X9X1/2
HSS9X9X3/8
HSS9X9X5/16
HSS9X9X1/4
HSS9X9X3/16
HSS9X9X1/8
HSS8X8X5/8
HSS8X8X1/2
HSS8X8X3/8
HSS8X8X5/16
HSS8X8X1/4

HSS16X8X5/8
HSS16X8X1/2
HSS16X8X3/8
HSS16X8X5/16
HSS16X8X1/4
HSS16X4X5/8
HSS16X4X1/2
HSS16X4X3/8
HSS16X4X5/16
HSS16X4X1/4
HSS16X4X3/16

HSS10X0.625
HSS10X0.500
HSS10X0.375
HSS10X0.312
HSS10X0.250
HSS10X0.188
HSS9.625X0.500
HSS9.625X0.375
HSS9.625X0.312
HSS9.625X0.250
HSS9.625X0.188

HSS8X8X3/16
HSS8X8X1/8
HSS7X7X5/8
HSS7X7X1/2
HSS7X7X3/8
HSS7X7X5/16
HSS7X7X1/4
HSS7X7X3/16
HSS7X7X1/8
HSS6X6X5/8
HSS6X6X1/2
HSS6X6X3/8
HSS6X6X5/16
HSS6X6X1/4
HSS6X6X3/16
HSS6X6X1/8
HSS5-1/2X5-1/2X3/8
HSS5-1/2X5-1/2X5/16
HSS5-1/2X5-1/2X1/4
HSS5-1/2X5-1/2X3/16
HSS5-1/2X5-1/2X1/8
HSS5X5X1/2
HSS5X5X3/8
HSS5X5X5/16
HSS5X5X1/4
HSS5X5X3/16
HSS5X5X1/8
HSS4-1/2X4-1/2X1/2
HSS4-1/2X4-1/2X3/8
HSS4-1/2X4-1/2X5/16
HSS4-1/2X4-1/2X1/4
HSS4-1/2X4-1/2X3/16
HSS4-1/2X4-1/2X1/8
HSS4X4X1/2
HSS4X4X3/8
HSS4X4X5/16
HSS4X4X1/4
HSS4X4X3/16
HSS4X4X1/8
HSS3-1/2X3-1/2X3/8
HSS3-1/2X3-1/2X5/16
HSS3-1/2X3-1/2X1/4
HSS3-1/2X3-1/2X3/16
HSS3-1/2X3-1/2X1/8
HSS3X3X3/8

HSS14X10X5/8
HSS14X10X1/2
HSS14X10X3/8
HSS14X10X5/16
HSS14X10X1/4
HSS14X6X5/8
HSS14X6X1/2
HSS14X6X3/8
HSS14X6X5/16
HSS14X6X1/4
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
HSS12X3-1/2X3/8
HSS12X3-1/2X5/16
HSS12X3X5/16
HSS12X3X1/4
HSS12X3X3/16
HSS12X2X5/16

HSS8.625X0.625
HSS8.625X0.500
HSS8.625X0.375
HSS8.625X0.322
HSS8.625X0.250
HSS8.625X0.188
HSS7.625X0.375
HSS7.625X0.328
HSS7.500X0.500
HSS7.500X0.375
HSS7.500X0.312
HSS7.500X0.250
HSS7.500X0.188
HSS7X0.500
HSS7X0.375
HSS7X0.312
HSS7X0.250
HSS7X0.188
HSS7X0.125
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
HSS6X0.500
HSS6X0.375
HSS6X0.312
HSS6X0.280
HSS6X0.250
HSS6X0.188
HSS6X0.125
HSS5.563X0.500
HSS5.563X0.375
HSS5.563X0.258
HSS5.563X0.188
HSS5.563X0.134
HSS5.500X0.500

HSS3X3X5/16
HSS3X3X1/4
HSS3X3X3/16
HSS3X3X1/8
HSS2-1/2X2-1/2X5/16
HSS2-1/2X2-1/2X1/4
HSS2-1/2X2-1/2X3/16
HSS2-1/2X2-1/2X1/8
HSS2-1/4X2-1/4X1/4
HSS2-1/4X2-1/4X3/16
HSS2-1/4X2-1/4X1/8
HSS2X2X1/4
HSS2X2X3/16
HSS2X2X1/8

HSS12X2X1/4
HSS12X2X3/16
HSS10X8X5/8
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
HSS10X4X1/8
HSS10X3-1/2X1/2
HSS10X3-1/2X3/8
HSS10X3-1/2X5/16
HSS10X3-1/2X1/4
HSS10X3-1/2X3/16
HSS10X3-1/2X1/8
HSS10X3X3/8
HSS10X3X5/16
HSS10X3X1/4
HSS10X3X3/16
HSS10X3X1/8
HSS10X2X3/8
HSS10X2X5/16
HSS10X2X1/4
HSS10X2X3/16
HSS10X2X1/8
HSS9X7X5/8
HSS9X7X1/2
HSS9X7X3/8
HSS9X7X5/16

HSS5.500X0.375
HSS5.500X0.258
HSS5X0.500
HSS5X0.375
HSS5X0.312
HSS5X0.258
HSS5X0.250
HSS5X0.188
HSS5X0.125
HSS4.500X0.375
HSS4.500X0.337
HSS4.500X0.237
HSS4.500X0.188
HSS4.500X0.125
HSS4X0.313
HSS4X0.250
HSS4X0.237
HSS4X0.226
HSS4X0.220
HSS4X0.188
HSS4X0.125
HSS3.500X0.313
HSS3.500X0.300
HSS3.500X0.250
HSS3.500X0.216
HSS3.500X0.203
HSS3.500X0.188
HSS3.500X0.125
HSS3X0.250
HSS3X0.216
HSS3X0.203
HSS3X0.188
HSS3X0.152
HSS3X0.134
HSS3X0.125
HSS2.875X0.250
HSS2.875X0.203
HSS2.875X0.188
HSS2.875X0.125
HSS2.500X0.250
HSS2.500X0.188
HSS2.500X0.125
HSS2.375X0.250
HSS2.375X0.218
HSS2.375X0.188

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
HSS7X5X1/2
HSS7X5X3/8
HSS7X5X5/16
HSS7X5X1/4
HSS7X5X3/16
HSS7X5X1/8
HSS7X4X1/2
HSS7X4X3/8

HSS2.375X0.154
HSS2.375X0.125
HSS1.900X0.188
HSS1.900X0.145
HSS1.900X0.120
HSS1.660X0.140

HSS7X4X5/16
HSS7X4X1/4
HSS7X4X3/16
HSS7X4X1/8
HSS7X3X1/2
HSS7X3X3/8
HSS7X3X5/16
HSS7X3X1/4
HSS7X3X3/16
HSS7X3X1/8
HSS7X2X1/4
HSS7X2X3/16
HSS7X2X1/8
HSS6X5X1/2
HSS6X5X3/8
HSS6X5X5/16
HSS6X5X1/4
HSS6X5X3/16
HSS6X5X1/8
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
HSS5X4X1/8
HSS5X3X1/2
HSS5X3X3/8
HSS5X3X5/16

HSS5X3X1/4
HSS5X3X3/16
HSS5X3X1/8
HSS5X2-1/2X1/4
HSS5X2-1/2X3/16
HSS5X2-1/2X1/8
HSS5X2X3/8
HSS5X2X5/16
HSS5X2X1/4
HSS5X2X3/16
HSS5X2X1/8
HSS4X3X3/8
HSS4X3X5/16
HSS4X3X1/4
HSS4X3X3/16
HSS4X3X1/8
HSS4X2-1/2X3/8
HSS4X2-1/2X5/16
HSS4X2-1/2X1/4
HSS4X2-1/2X3/16
HSS4X2-1/2X1/8
HSS4X2X3/8
HSS4X2X5/16
HSS4X2X1/4
HSS4X2X3/16
HSS4X2X1/8
HSS3-1/2X2-1/2X3/8
HSS3-1/2X2-1/2X5/16
HSS3-1/2X2-1/2X1/4
HSS3-1/2X2-1/2X3/16
HSS3-1/2X2-1/2X1/8

HSS3-1/2X2X1/4
HSS3-1/2X2X3/16
HSS3-1/2X2X1/8
HSS3-1/2X1-1/2X1/4
HSS3-1/2X1-1/2X3/16
HSS3-1/2X1-1/2X1/8
HSS3X2-1/2X5/16
HSS3X2-1/2X1/4
HSS3X2-1/2X3/16
HSS3X2-1/2X1/8
HSS3X2X5/16
HSS3X2X1/4
HSS3X2X3/16
HSS3X2X1/8

HSS3X1-1/2X1/4
HSS3X1-1/2X3/16
HSS3X1-1/2X1/8
HSS3X1X3/16
HSS3X1X1/8
HSS2-1/2X2X1/4
HSS2-1/2X2X3/16
HSS2-1/2X2X1/8
HSS2-1/2X1-1/2X1/4
HSS2-1/2X1-1/2X3/16
HSS2-1/2X1-1/2X1/8
HSS2-1/2X1X3/16
HSS2-1/2X1X1/8
HSS2-1/4X2X3/16
HSS2-1/4X2X1/8
HSS2X1-1/2X3/16
HSS2X1-1/2X1/8

HSS2X1X3/16
HSS2X1X1/8

Yes
No

wide
narrow

ASD
LRFD

CJP
PJP
fillet

ASTM A36
ASTM A992

36
50

58
65

ASTM A36
ASTM A572

36
50

58
65

1/2

std
edge dist hole diam
0.196
0.75
0.5625

HSS16X16X1/2

5/8

0.307

0.875

0.6875

HSS16X16X3/8
HSS16X16X5/16

3/4
7/8

0.442
0.601

1
1.125

0.8125
0.9375

0.785

1.25

1.0625

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

0.994
1.227
1.485
1.767

1.5
1.625
1.71875
1.875

1.1875
1.3125
1.4375
1.5625

Selected Shapes
HSS16X16X5/8

bolt d

HSS14X14X5/8
HSS14X14X1/2
HSS14X14X3/8
HSS14X14X5/16
HSS12X12X5/8
HSS12X12X1/2
HSS12X12X3/8
HSS12X12X5/16
HSS12X12X1/4
HSS12X12X3/16
HSS10X10X5/8
HSS10X10X1/2

1
1
1
1

bolt brg
Fu = 58

Fu = 65

5/8
3/4
7/8
1

43.5
52.2
60.9
67.4

48.8
58.5
68.3
75.6

HSS10X10X3/8

1 1/8

63.1

70.7

HSS10X10X5/16

1 1/4

70.3

78.8

HSS10X10X1/4

1 3/8

77.6

86.9

HSS10X10X3/16

1 1/2

84.8

95.1

3
4
5
6
8
10
12
14
16
20

4
5
6
8
10
12
14
16
20
24

pl
bm

HSS9X9X5/8
HSS9X9X1/2
HSS9X9X3/8
HSS9X9X5/16
HSS9X9X1/4
HSS9X9X3/16
HSS9X9X1/8
HSS8X8X5/8
HSS8X8X1/2
HSS8X8X3/8
HSS8X8X5/16
HSS8X8X1/4

plate thickness
1
2
3
4
5
6
7
8
9
10

HSS8X8X3/16
HSS8X8X1/8
HSS7X7X5/8
HSS7X7X1/2
HSS7X7X3/8
HSS7X7X5/16
HSS7X7X1/4
HSS7X7X3/16
HSS7X7X1/8
HSS6X6X5/8
HSS6X6X1/2
HSS6X6X3/8
HSS6X6X5/16
HSS6X6X1/4
HSS6X6X3/16
HSS6X6X1/8
HSS5-1/2X5-1/2X3/8
HSS5-1/2X5-1/2X5/16
HSS5-1/2X5-1/2X1/4
HSS5-1/2X5-1/2X3/16
HSS5-1/2X5-1/2X1/8
HSS5X5X1/2
HSS5X5X3/8
HSS5X5X5/16
HSS5X5X1/4
HSS5X5X3/16
HSS5X5X1/8
HSS4-1/2X4-1/2X1/2
HSS4-1/2X4-1/2X3/8
HSS4-1/2X4-1/2X5/16
HSS4-1/2X4-1/2X1/4
HSS4-1/2X4-1/2X3/16
HSS4-1/2X4-1/2X1/8
HSS4X4X1/2
HSS4X4X3/8
HSS4X4X5/16
HSS4X4X1/4
HSS4X4X3/16
HSS4X4X1/8
HSS3-1/2X3-1/2X3/8
HSS3-1/2X3-1/2X5/16
HSS3-1/2X3-1/2X1/4
HSS3-1/2X3-1/2X3/16
HSS3-1/2X3-1/2X1/8
HSS3X3X3/8

24
28
32

28
32
36

11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48

HSS3X3X5/16
HSS3X3X1/4
HSS3X3X3/16
HSS3X3X1/8
HSS2-1/2X2-1/2X5/16
HSS2-1/2X2-1/2X1/4
HSS2-1/2X2-1/2X3/16
HSS2-1/2X2-1/2X1/8
HSS2-1/4X2-1/4X1/4
HSS2-1/4X2-1/4X3/16
HSS2-1/4X2-1/4X1/8
HSS2X2X1/4
HSS2X2X3/16
HSS2X2X1/8

grade
A325N

asd ksi
27

A325X

34

A490N
A490X

34
42

58.5

ate thickness
3
3
3
4
5
6
8
8
10
10

fillet weld thickness

1
3
2
3
3
3
4
4
5
5
6
6
7
7
8
8
9
10
10
10

3/16
1/ 4
5/16
3/ 8
1/ 2
5/ 8
3/ 4
7/ 8
1
1 1/ 8

12
12
14
14
16
16
18
18
20
20
22
22
24
24
26
26
28
28
30
30
32
32
34
34
36
36
38
38
40
40
44
44
44
44
48
48
48
48

11
12

12
12

1
1
1
1
1
1

1/
3/
1/
5/
3/
7/
2

4
8
2
8
4
8

AISC_Manual_Label

T_F

HSS20X12X5/8
HSS20X12X1/2
HSS20X12X3/8
HSS20X12X5/16
HSS20X8X5/8
HSS20X8X1/2
HSS20X8X3/8
HSS20X8X5/16
HSS20X4X1/2
HSS20X4X3/8
HSS20X4X5/16
HSS20X4X1/4
HSS18X6X5/8
HSS18X6X1/2
HSS18X6X3/8
HSS18X6X5/16
HSS18X6X1/4
HSS16X16X5/8
HSS16X16X1/2
HSS16X16X3/8
HSS16X16X5/16
HSS16X12X5/8
HSS16X12X1/2
HSS16X12X3/8
HSS16X12X5/16
HSS16X8X5/8
HSS16X8X1/2
HSS16X8X3/8
HSS16X8X5/16
HSS16X8X1/4
HSS16X4X5/8
HSS16X4X1/2
HSS16X4X3/8
HSS16X4X5/16
HSS16X4X1/4
HSS16X4X3/16
HSS14X14X5/8
HSS14X14X1/2
HSS14X14X3/8
HSS14X14X5/16
HSS14X10X5/8
HSS14X10X1/2
HSS14X10X3/8
HSS14X10X5/16

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

W
127.37
103.3
78.52
65.87
110.36
89.68
68.31
57.36
76.07
58.1
48.86
39.43
93.34
76.07
58.1
48.86
39.43
127.37
103.3
78.52
65.87
110.36
89.68
68.31
57.36
93.34
76.07
58.1
48.86
39.43
76.33
62.46
47.9
40.35
32.63
24.73
110.36
89.68
68.31
57.36
93.34
76.07
58.1
48.86

ddet

35.0
28.3
21.5
18.1
30.3
24.6
18.7
15.7
20.9
16.0
13.4
10.8
25.7
20.9
16.0
13.4
10.8
35.0
28.3
21.5
18.1
30.3
24.6
18.7
15.7
25.7
20.9
16.0
13.4
10.8
21.0
17.2
13.2
11.1
8.96
6.76
30.3
24.6
18.7
15.7
25.7
20.9
16.0
13.4

HSS14X10X1/4
HSS14X6X5/8
HSS14X6X1/2
HSS14X6X3/8
HSS14X6X5/16
HSS14X6X1/4
HSS14X6X3/16
HSS14X4X5/8
HSS14X4X1/2
HSS14X4X3/8
HSS14X4X5/16
HSS14X4X1/4
HSS14X4X3/16
HSS12X12X5/8
HSS12X12X1/2
HSS12X12X3/8
HSS12X12X5/16
HSS12X12X1/4
HSS12X12X3/16
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
HSS12X3-1/2X3/8
HSS12X3-1/2X5/16
HSS12X3X5/16
HSS12X3X1/4

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

39.43
76.33
62.46
47.9
40.35
32.63
24.73
67.82
55.66
42.79
36.1
29.23
22.18
93.34
76.07
58.1
48.86
39.43
29.84
69.27
53.0
44.6
36.03
76.33
62.46
47.9
40.35
32.63
24.73
67.82
55.66
42.79
36.1
29.23
22.18
59.32
48.85
37.69
31.84
25.82
19.63
36.41
30.78
29.72
24.12

10.8
21.0
17.2
13.2
11.1
8.96
6.76
18.7
15.3
11.8
9.92
8.03
6.06
25.7
20.9
16.0
13.4
10.8
8.15
19.0
14.6
12.2
9.90
21.0
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
7.10
5.37
10.0
8.46
8.17
6.63

HSS12X3X3/16
HSS12X2X5/16
HSS12X2X1/4
HSS12X2X3/16
HSS10X10X5/8
HSS10X10X1/2
HSS10X10X3/8
HSS10X10X5/16
HSS10X10X1/4
HSS10X10X3/16
HSS10X8X5/8
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
HSS10X4X1/8
HSS10X3-1/2X1/2
HSS10X3-1/2X3/8
HSS10X3-1/2X5/16
HSS10X3-1/2X1/4
HSS10X3-1/2X3/16
HSS10X3-1/2X1/8
HSS10X3X3/8
HSS10X3X5/16
HSS10X3X1/4
HSS10X3X3/16
HSS10X3X1/8
HSS10X2X3/8

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

18.35
27.59
22.42
17.08
76.33
62.46
47.9
40.35
32.63
24.73
67.82
55.66
42.79
36.1
29.23
22.18
59.32
48.85
37.69
31.84
25.82
19.63
35.13
29.72
24.12
18.35
50.81
42.05
32.58
27.59
22.42
17.08
11.56
40.34
31.31
26.53
21.57
16.44
11.13
30.03
25.46
20.72
15.8
10.71
27.48

5.02
7.59
6.17
4.67
21.0
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
7.10
5.37
9.67
8.17
6.63
5.02
14.0
11.6
8.97
7.59
6.17
4.67
3.16
11.1
8.62
7.30
5.93
4.50
3.04
8.27
7.01
5.70
4.32
2.93
7.58

HSS10X2X5/16
HSS10X2X1/4
HSS10X2X3/16
HSS10X2X1/8
HSS9X9X5/8
HSS9X9X1/2
HSS9X9X3/8
HSS9X9X5/16
HSS9X9X1/4
HSS9X9X3/16
HSS9X9X1/8

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
HSS8X8X5/8
HSS8X8X1/2
HSS8X8X3/8
HSS8X8X5/16
HSS8X8X1/4
HSS8X8X3/16
HSS8X8X1/8
HSS8X6X5/8
HSS8X6X1/2
HSS8X6X3/8
HSS8X6X5/16
HSS8X6X1/4
HSS8X6X3/16
HSS8X4X5/8
HSS8X4X1/2
HSS8X4X3/8
HSS8X4X5/16

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

23.34
19.02
14.53
9.86
67.82
55.66
42.79
36.1
29.23
22.18
14.96
59.32
48.85
37.69
31.84
25.82
19.63
50.81
42.05
32.58
27.59
22.42
17.08
35.24
27.48
23.34
19.02
14.53
59.32
48.85
37.69
31.84
25.82
19.63
13.26
50.81
42.05
32.58
27.59
22.42
17.08
42.3
35.24
27.48
23.34

6.43
5.24
3.98
2.70
18.7
15.3
11.8
9.92
8.03
6.06
4.09
16.4
13.5
10.4
8.76
7.10
5.37
14.0
11.6
8.97
7.59
6.17
4.67
9.74
7.58
6.43
5.24
3.98
16.4
13.5
10.4
8.76
7.10
5.37
3.62
14.0
11.6
8.97
7.59
6.17
4.67
11.7
9.74
7.58
6.43

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
HSS7X7X5/8
HSS7X7X1/2
HSS7X7X3/8
HSS7X7X5/16
HSS7X7X1/4
HSS7X7X3/16
HSS7X7X1/8
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
HSS7X2X1/4
HSS7X2X3/16
HSS7X2X1/8
HSS6X6X5/8
HSS6X6X1/2
HSS6X6X3/8

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

19.02
14.53
9.86
31.84
24.93
21.21
17.32
13.25
9.01
22.37
19.08
15.62
11.97
8.16
50.81
42.05
32.58
27.59
22.42
17.08
11.56
35.24
27.48
23.34
19.02
14.53
9.86
31.84
24.93
21.21
17.32
13.25
9.01
28.43
22.37
19.08
15.62
11.97
8.16
13.91
10.7
7.31
42.3
35.24
27.48

5.24
3.98
2.70
8.81
6.88
5.85
4.77
3.63
2.46
6.18
5.26
4.30
3.28
2.23
14.0
11.6
8.97
7.59
6.17
4.67
3.16
9.74
7.58
6.43
5.24
3.98
2.70
8.81
6.88
5.85
4.77
3.63
2.46
7.88
6.18
5.26
4.30
3.28
2.23
3.84
2.93
2.00
11.7
9.74
7.58

HSS6X6X5/16
HSS6X6X1/4
HSS6X6X3/16
HSS6X6X1/8
HSS6X5X1/2
HSS6X5X3/8
HSS6X5X5/16
HSS6X5X1/4
HSS6X5X3/16
HSS6X5X1/8
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
HSS5-1/2X5-1/2X3/8
HSS5-1/2X5-1/2X5/16
HSS5-1/2X5-1/2X1/4
HSS5-1/2X5-1/2X3/16
HSS5-1/2X5-1/2X1/8
HSS5X5X1/2
HSS5X5X3/8
HSS5X5X5/16
HSS5X5X1/4
HSS5X5X3/16
HSS5X5X1/8
HSS5X4X1/2
HSS5X4X3/8
HSS5X4X5/16
HSS5X4X1/4
HSS5X4X3/16
HSS5X4X1/8
HSS5X3X1/2

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

23.34
19.02
14.53
9.86
31.84
24.93
21.21
17.32
13.25
9.01
28.43
22.37
19.08
15.62
11.97
8.16
25.03
19.82
16.96
13.91
10.7
7.31
17.27
14.83
12.21
9.42
6.46
24.93
21.21
17.32
13.25
9.01
28.43
22.37
19.08
15.62
11.97
8.16
25.03
19.82
16.96
13.91
10.7
7.31
21.63

6.43
5.24
3.98
2.70
8.81
6.88
5.85
4.77
3.63
2.46
7.88
6.18
5.26
4.30
3.28
2.23
6.95
5.48
4.68
3.84
2.93
2.00
4.78
4.10
3.37
2.58
1.77
6.88
5.85
4.77
3.63
2.46
7.88
6.18
5.26
4.30
3.28
2.23
6.95
5.48
4.68
3.84
2.93
2.00
6.02

HSS5X3X3/8
HSS5X3X5/16
HSS5X3X1/4
HSS5X3X3/16
HSS5X3X1/8
HSS5X2-1/2X1/4
HSS5X2-1/2X3/16
HSS5X2-1/2X1/8
HSS5X2X3/8
HSS5X2X5/16
HSS5X2X1/4
HSS5X2X3/16
HSS5X2X1/8
HSS4-1/2X4-1/2X1/2
HSS4-1/2X4-1/2X3/8
HSS4-1/2X4-1/2X5/16
HSS4-1/2X4-1/2X1/4
HSS4-1/2X4-1/2X3/16
HSS4-1/2X4-1/2X1/8
HSS4X4X1/2
HSS4X4X3/8
HSS4X4X5/16
HSS4X4X1/4
HSS4X4X3/16
HSS4X4X1/8
HSS4X3X3/8
HSS4X3X5/16
HSS4X3X1/4
HSS4X3X3/16
HSS4X3X1/8
HSS4X2-1/2X3/8
HSS4X2-1/2X5/16
HSS4X2-1/2X1/4
HSS4X2-1/2X3/16
HSS4X2-1/2X1/8
HSS4X2X3/8
HSS4X2X5/16
HSS4X2X1/4
HSS4X2X3/16
HSS4X2X1/8
HSS3-1/2X3-1/2X3/8
HSS3-1/2X3-1/2X5/16
HSS3-1/2X3-1/2X1/4
HSS3-1/2X3-1/2X3/16
HSS3-1/2X3-1/2X1/8

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

17.27
14.83
12.21
9.42
6.46
11.36
8.78
6.03
14.72
12.7
10.51
8.15
5.61
25.03
19.82
16.96
13.91
10.7
7.31
21.63
17.27
14.83
12.21
9.42
6.46
14.72
12.7
10.51
8.15
5.61
13.44
11.64
9.66
7.51
5.18
12.17
10.58
8.81
6.87
4.75
14.72
12.7
10.51
8.15
5.61

4.78
4.10
3.37
2.58
1.77
3.14
2.41
1.65
4.09
3.52
2.91
2.24
1.54
6.95
5.48
4.68
3.84
2.93
2.00
6.02
4.78
4.10
3.37
2.58
1.77
4.09
3.52
2.91
2.24
1.54
3.74
3.23
2.67
2.06
1.42
3.39
2.94
2.44
1.89
1.30
4.09
3.52
2.91
2.24
1.54

HSS3-1/2X2-1/2X3/8
HSS3-1/2X2-1/2X5/16
HSS3-1/2X2-1/2X1/4
HSS3-1/2X2-1/2X3/16
HSS3-1/2X2-1/2X1/8

HSS3-1/2X2X1/4
HSS3-1/2X2X3/16
HSS3-1/2X2X1/8
HSS3-1/2X1-1/2X1/4
HSS3-1/2X1-1/2X3/16
HSS3-1/2X1-1/2X1/8
HSS3X3X3/8
HSS3X3X5/16
HSS3X3X1/4
HSS3X3X3/16
HSS3X3X1/8
HSS3X2-1/2X5/16
HSS3X2-1/2X1/4
HSS3X2-1/2X3/16
HSS3X2-1/2X1/8
HSS3X2X5/16
HSS3X2X1/4
HSS3X2X3/16
HSS3X2X1/8
HSS3X1-1/2X1/4
HSS3X1-1/2X3/16
HSS3X1-1/2X1/8
HSS3X1X3/16
HSS3X1X1/8
HSS2-1/2X2-1/2X5/16
HSS2-1/2X2-1/2X1/4
HSS2-1/2X2-1/2X3/16
HSS2-1/2X2-1/2X1/8
HSS2-1/2X2X1/4
HSS2-1/2X2X3/16
HSS2-1/2X2X1/8
HSS2-1/2X1-1/2X1/4
HSS2-1/2X1-1/2X3/16
HSS2-1/2X1-1/2X1/8
HSS2-1/2X1X3/16
HSS2-1/2X1X1/8
HSS2-1/4X2-1/4X1/4
HSS2-1/4X2-1/4X3/16
HSS2-1/4X2-1/4X1/8
HSS2-1/4X2X3/16

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

12.17
10.58
8.81
6.87
4.75
7.96
6.23
4.33
7.11
5.59
3.90
12.17
10.58
8.81
6.87
4.75
9.51
7.96
6.23
4.33
8.45
7.11
5.59
3.90
6.26
4.96
3.48
4.32
3.05
8.45
7.11
5.59
3.90
6.26
4.96
3.48
5.41
4.32
3.05
3.68
2.63
6.26
4.96
3.48
4.64

3.39
2.94
2.44
1.89
1.30
2.21
1.71
1.19
1.97
1.54
1.07
3.39
2.94
2.44
1.89
1.30
2.64
2.21
1.71
1.19
2.35
1.97
1.54
1.07
1.74
1.37
0.956
1.19
0.840
2.35
1.97
1.54
1.07
1.74
1.37
0.956
1.51
1.19
0.840
1.02
0.724
1.74
1.37
0.956
1.28

HSS2-1/4X2X1/8
HSS2X2X1/4
HSS2X2X3/16
HSS2X2X1/8
HSS2X1-1/2X3/16
HSS2X1-1/2X1/8

HSS2X1X3/16
HSS2X1X1/8
HSS20X0.500
HSS20X0.375
HSS18X0.500
HSS18X0.375
HSS16X0.625
HSS16X0.500
HSS16X0.438
HSS16X0.375
HSS16X0.312
HSS16X0.250
HSS14X0.625
HSS14X0.500
HSS14X0.375
HSS14X0.312
HSS14X0.250
HSS12.750X0.500
HSS12.750X0.375
HSS12.750X0.250
HSS10.750X0.500
HSS10.750X0.375
HSS10.750X0.250
HSS10X0.625
HSS10X0.500
HSS10X0.375
HSS10X0.312
HSS10X0.250
HSS10X0.188
HSS9.625X0.500
HSS9.625X0.375
HSS9.625X0.312
HSS9.625X0.250
HSS9.625X0.188
HSS8.625X0.625
HSS8.625X0.500
HSS8.625X0.375
HSS8.625X0.322
HSS8.625X0.250

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

3.27
5.41
4.32
3.05
3.68
2.63
3.04
2.20

104.00
78.67
93.54
70.66
103.00
82.85
72.87
62.64
52.32
42.09
89.36
72.16
54.62
45.65
36.75
65.48
49.61
33.41
54.79
41.59
28.06
62.64
50.78
38.58
32.31
26.06
19.72
48.77
37.08
31.06
25.06
18.97
53.45
43.43
33.07
28.58
22.38

0.898
1.51
1.19
0.840
1.02
0.724
0.845
0.608
28.5
21.5
25.6
19.4
28.1
22.7
19.9
17.2
14.4
11.5
24.5
19.8
15.0
12.5
10.1
17.9
13.6
9.16
15.0
11.4
7.70
17.2
13.9
10.6
8.88
7.15
5.37
13.4
10.2
8.53
6.87
5.17
14.7
11.9
9.07
7.85
6.14

HSS8.625X0.188
HSS7.625X0.375
HSS7.625X0.328
HSS7.500X0.500
HSS7.500X0.375
HSS7.500X0.312
HSS7.500X0.250
HSS7.500X0.188
HSS7X0.500
HSS7X0.375
HSS7X0.312
HSS7X0.250
HSS7X0.188
HSS7X0.125
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
HSS6X0.500
HSS6X0.375
HSS6X0.312
HSS6X0.280
HSS6X0.250
HSS6X0.188
HSS6X0.125
HSS5.563X0.500
HSS5.563X0.375
HSS5.563X0.258
HSS5.563X0.188
HSS5.563X0.134
HSS5.500X0.500
HSS5.500X0.375
HSS5.500X0.258
HSS5X0.500
HSS5X0.375
HSS5X0.312

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

16.96
29.06
25.59
37.42
28.56
23.97
19.38
14.70
34.74
26.56
22.31
18.04
13.69
9.19
34.07
26.06
21.89
17.71
13.44
32.74
28.60
25.06
21.06
18.99
17.04
12.94
8.69
29.40
22.55
18.97
17.12
15.37
11.68
7.85
27.06
20.80
14.63
10.80
7.78
26.73
20.55
14.46
24.05
18.54
15.64

4.62
7.98
7.01
10.3
7.84
6.59
5.32
4.00
9.55
7.29
6.13
4.95
3.73
2.51
9.36
7.16
6.02
4.86
3.66
9.00
7.86
6.88
5.79
5.20
4.68
3.53
2.37
8.09
6.20
5.22
4.69
4.22
3.18
2.14
7.45
5.72
4.01
2.95
2.12
7.36
5.65
3.97
6.62
5.10
4.30

HSS5X0.258
HSS5X0.250
HSS5X0.188
HSS5X0.125
HSS4.500X0.375
HSS4.500X0.337
HSS4.500X0.237
HSS4.500X0.188
HSS4.500X0.125
HSS4X0.313
HSS4X0.250
HSS4X0.237
HSS4X0.226
HSS4X0.220
HSS4X0.188
HSS4X0.125
HSS3.500X0.313
HSS3.500X0.300
HSS3.500X0.250
HSS3.500X0.216
HSS3.500X0.203
HSS3.500X0.188
HSS3.500X0.125
HSS3X0.250
HSS3X0.216
HSS3X0.203
HSS3X0.188
HSS3X0.152
HSS3X0.134
HSS3X0.125
HSS2.875X0.250
HSS2.875X0.203
HSS2.875X0.188
HSS2.875X0.125
HSS2.500X0.250
HSS2.500X0.188
HSS2.500X0.125
HSS2.375X0.250
HSS2.375X0.218
HSS2.375X0.188
HSS2.375X0.154
HSS2.375X0.125
HSS1.900X0.188
HSS1.900X0.145
HSS1.900X0.120

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

13.08
12.69
9.67
6.51
16.54
15.00
10.80
8.67
5.85
12.34
10.00
9.53
9.12
8.89
7.66
5.18
10.66
10.26
8.69
7.58
7.15
6.66
4.51
7.35
6.43
6.07
5.65
4.63
4.11
3.84
7.02
5.80
5.40
3.67
6.01
4.65
3.17
5.68
5.03
4.40
3.66
3.01
3.44
2.72
2.28

3.59
3.49
2.64
1.78
4.55
4.12
2.96
2.36
1.60
3.39
2.76
2.61
2.50
2.44
2.09
1.42
2.93
2.82
2.39
2.08
1.97
1.82
1.23
2.03
1.77
1.67
1.54
1.27
1.12
1.05
1.93
1.59
1.48
1.01
1.66
1.27
0.869
1.57
1.39
1.20
1.00
0.823
0.943
0.749
0.624

HSS1.660X0.140

2.27

0.625

Ht

OD

bf

bfdet

20.0
20.0
20.0
20.0
20.0
20.0
20.0
20.0
20.0
20.0
20.0
20.0
18.0
18.0
18.0
18.0
18.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
16.0
14.0
14.0
14.0
14.0
14.0
14.0
14.0
14.0

18.3
18.6
19.0
19.1
18.3
18.6
19.0
19.1
18.6
19.0
19.1
19.3
16.3
16.6
17.0
17.1
17.3
14.3
14.6
15.0
15.1
14.3
14.6
15.0
15.1
14.3
14.6
15.0
15.1
15.3
14.3
14.6
15.0
15.1
15.3
15.5
12.3
12.6
13.0
13.1
12.3
12.6
13.0
13.1

12.0
12.0
12.0
12.0
8.00
8.00
8.00
8.00
4.00
4.00
4.00
4.00
6.00
6.00
6.00
6.00
6.00
16.0
16.0
16.0
16.0
12.0
12.0
12.0
12.0
8.00
8.00
8.00
8.00
8.00
4.00
4.00
4.00
4.00
4.00
4.00
14.0
14.0
14.0
14.0
10.0
10.0
10.0
10.0

10.3
10.6
11.0
11.1
6.26
6.60
6.95
7.13
2.60
2.95
3.13
3.30
4.26
4.61
4.95
5.13
5.30
14.3
14.6
15.0
15.1
10.3
10.6
11.0
11.1
6.26
6.60
6.95
7.13
7.30
2.26
2.60
2.95
3.13
3.30
3.48
12.3
12.6
13.0
13.1
8.26
8.60
8.95
9.13

14.0
14.0
14.0
14.0
14.0
14.0
14.0
14.0
14.0
14.0
14.0
14.0
14.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0
12.0

13.3
12.3
12.6
13.0
13.1
13.3
13.5
12.3
12.6
13.0
13.1
13.3
13.5
10.3
10.6
11.0
11.1
11.3
11.5
10.6
11.0
11.1
11.3
10.3
10.6
11.0
11.1
11.3
11.5
10.3
10.6
11.0
11.1
11.3
11.5
10.3
10.6
11.0
11.1
11.3
11.5
11.0
11.1
11.1
11.3

10.0
6.00
6.00
6.00
6.00
6.00
6.00
4.00
4.00
4.00
4.00
4.00
4.00
12.0
12.0
12.0
12.0
12.0
12.0
10.0
10.0
10.0
10.0
8.00
8.00
8.00
8.00
8.00
8.00
6.00
6.00
6.00
6.00
6.00
6.00
4.00
4.00
4.00
4.00
4.00
4.00
3.50
3.50
3.00
3.00

9.30
4.26
4.61
4.95
5.13
5.30
5.48
2.26
2.60
2.95
3.13
3.30
3.48
10.3
10.6
11.0
11.1
11.3
11.5
8.60
8.95
9.13
9.30
6.26
6.60
6.95
7.13
7.30
7.48
4.26
4.61
4.95
5.13
5.30
5.48
2.26
2.60
2.95
3.13
3.30
3.48
2.45
2.63
2.13
2.30

12.0
12.0
12.0
12.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0

11.5
11.1
11.3
11.5
8.26
8.60
8.95
9.13
9.30
9.48
8.26
8.60
8.95
9.13
9.30
9.48
8.26
8.60
8.95
9.13
9.30
9.48
8.95
9.13
9.30
9.48
8.26
8.60
8.95
9.13
9.30
9.48
9.65
8.60
8.95
9.13
9.30
9.48
9.65
8.95
9.13
9.30
9.48
9.65
8.95

3.00
2.00
2.00
2.00
10.0
10.0
10.0
10.0
10.0
10.0
8.00
8.00
8.00
8.00
8.00
8.00
6.00
6.00
6.00
6.00
6.00
6.00
5.00
5.00
5.00
5.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
3.50
3.50
3.50
3.50
3.50
3.50
3.00
3.00
3.00
3.00
3.00
2.00

2.48
1.13
1.30
1.48
8.26
8.60
8.95
9.13
9.30
9.48
6.26
6.60
6.95
7.13
7.30
7.48
4.26
4.61
4.95
5.13
5.30
5.48
3.95
4.13
4.30
4.48
2.26
2.60
2.95
3.13
3.30
3.48
3.65
2.10
2.45
2.63
2.80
2.98
3.15
1.95
2.13
2.30
2.48
2.65
0.953

10.0
10.0
10.0
10.0
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00

9.13
9.30
9.48
9.65
7.26
7.60
7.95
8.13
8.30
8.48
8.65
7.26
7.60
7.95
8.13
8.30
8.48
7.26
7.60
7.95
8.13
8.30
8.48
7.60
7.95
8.13
8.30
8.48
6.26
6.60
6.95
7.13
7.30
7.48
7.65
6.26
6.60
6.95
7.13
7.30
7.48
6.26
6.60
6.95
7.13

2.00
2.00
2.00
2.00
9.00
9.00
9.00
9.00
9.00
9.00
9.00
7.00
7.00
7.00
7.00
7.00
7.00
5.00
5.00
5.00
5.00
5.00
5.00
3.00
3.00
3.00
3.00
3.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
6.00
6.00
6.00
6.00
6.00
6.00
4.00
4.00
4.00
4.00

1.13
1.30
1.48
1.65
7.26
7.60
7.95
8.13
8.30
8.48
8.65
5.26
5.60
5.95
6.13
6.30
6.48
3.26
3.60
3.95
4.13
4.30
4.48
1.60
1.95
2.13
2.30
2.48
6.26
6.60
6.95
7.13
7.30
7.48
7.65
4.26
4.61
4.95
5.13
5.30
5.48
2.26
2.60
2.95
3.13

8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
8.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
6.00
6.00
6.00

7.30
7.48
7.65
6.60
6.95
7.13
7.30
7.48
7.65
6.95
7.13
7.30
7.48
7.65
5.26
5.60
5.95
6.13
6.30
6.48
6.65
5.60
5.95
6.13
6.30
6.48
6.65
5.60
5.95
6.13
6.30
6.48
6.65
5.60
5.95
6.13
6.30
6.48
6.65
6.30
6.48
6.65
4.26
4.61
4.95

4.00
4.00
4.00
3.00
3.00
3.00
3.00
3.00
3.00
2.00
2.00
2.00
2.00
2.00
7.00
7.00
7.00
7.00
7.00
7.00
7.00
5.00
5.00
5.00
5.00
5.00
5.00
4.00
4.00
4.00
4.00
4.00
4.00
3.00
3.00
3.00
3.00
3.00
3.00
2.00
2.00
2.00
6.00
6.00
6.00

3.30
3.48
3.65
1.60
1.95
2.13
2.30
2.48
2.65
0.953
1.13
1.30
1.48
1.65
5.26
5.60
5.95
6.13
6.30
6.48
6.65
3.60
3.95
4.13
4.30
4.48
4.65
2.60
2.95
3.13
3.30
3.48
3.65
1.60
1.95
2.13
2.30
2.48
2.65
1.30
1.48
1.65
4.26
4.61
4.95

6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
6.00
5.50
5.50
5.50
5.50
5.50
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00

5.13
5.30
5.48
5.65
4.61
4.95
5.13
5.30
5.48
5.65
4.61
4.95
5.13
5.30
5.48
5.65
4.61
4.95
5.13
5.30
5.48
5.65
4.95
5.13
5.30
5.48
5.65
4.45
4.63
4.80
4.98
5.15
3.60
3.95
4.13
4.30
4.48
4.65
3.60
3.95
4.13
4.30
4.48
4.65
3.60

6.00
6.00
6.00
6.00
5.00
5.00
5.00
5.00
5.00
5.00
4.00
4.00
4.00
4.00
4.00
4.00
3.00
3.00
3.00
3.00
3.00
3.00
2.00
2.00
2.00
2.00
2.00
5.50
5.50
5.50
5.50
5.50
5.00
5.00
5.00
5.00
5.00
5.00
4.00
4.00
4.00
4.00
4.00
4.00
3.00

5.13
5.30
5.48
5.65
3.60
3.95
4.13
4.30
4.48
4.65
2.60
2.95
3.13
3.30
3.48
3.65
1.60
1.95
2.13
2.30
2.48
2.65
0.953
1.13
1.30
1.48
1.65
4.45
4.63
4.80
4.98
5.15
3.60
3.95
4.13
4.30
4.48
4.65
2.60
2.95
3.13
3.30
3.48
3.65
1.60

5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
5.00
4.50
4.50
4.50
4.50
4.50
4.50
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
3.50
3.50
3.50
3.50
3.50

3.95
4.13
4.30
4.48
4.65
4.30
4.48
4.65
3.95
4.13
4.30
4.48
4.65
3.10
3.45
3.63
3.80
3.98
4.15
2.60
2.95
3.13
3.30
3.48
3.65
2.95
3.13
3.30
3.48
3.65
2.95
3.13
3.30
3.48
3.65
2.95
3.13
3.30
3.48
3.65
2.45
2.63
2.80
2.98
3.15

3.00
3.00
3.00
3.00
3.00
2.50
2.50
2.50
2.00
2.00
2.00
2.00
2.00
4.50
4.50
4.50
4.50
4.50
4.50
4.00
4.00
4.00
4.00
4.00
4.00
3.00
3.00
3.00
3.00
3.00
2.50
2.50
2.50
2.50
2.50
2.00
2.00
2.00
2.00
2.00
3.50
3.50
3.50
3.50
3.50

1.95
2.13
2.30
2.48
2.65
1.80
1.98
2.15
0.953
1.13
1.30
1.48
1.65
3.10
3.45
3.63
3.80
3.98
4.15
2.60
2.95
3.13
3.30
3.48
3.65
1.95
2.13
2.30
2.48
2.65
1.45
1.63
1.80
1.98
2.15
0.953
1.13
1.30
1.48
1.65
2.45
2.63
2.80
2.98
3.15

3.50
3.50
3.50
3.50
3.50
3.50
3.50
3.50
3.50
3.50
3.50
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
3.00
2.50
2.50
2.50
2.50
2.50
2.50
2.50
2.50
2.50

2.45
2.63
2.80
2.98
3.15
2.80
2.98
3.15
2.80
2.98
3.15
1.95
2.13
2.30
2.48
2.65
2.13
2.30
2.48
2.65
2.13
2.30
2.48
2.65
2.30
2.48
2.65
2.48
2.65
1.63
1.80
1.98
2.15
1.80
1.98
2.15
1.80
1.98

2.50

2.15

2.50
2.50
2.25
2.25
2.25
2.25

1.98
2.15
1.55
1.73
1.90
1.73

2.50
2.50
2.50
2.50
2.50
2.00
2.00
2.00
1.50
1.50
1.50
3.00
3.00
3.00
3.00
3.00
2.50
2.50
2.50
2.50
2.00
2.00
2.00
2.00
1.50
1.50
1.50
1.00
1.00
2.50
2.50
2.50
2.50
2.00
2.00
2.00
1.50
1.50
1.50
1.00
1.00
2.25
2.25
2.25
2.00

1.45
1.63
1.80
1.98
2.15
1.30
1.48
1.65
0.801
0.978
1.15
1.95
2.13
2.30
2.48
2.65
1.63
1.80
1.98
2.15
1.13
1.30
1.48
1.65
0.801
0.978
1.15
0.478
0.652
1.63
1.80
1.98
2.15
1.30
1.48
1.65
0.801
0.978
1.15
0.478
0.652
1.55
1.73
1.90
1.48

2.25
2.00
2.00
2.00
2.00
2.00
2.00
2.00

1.90
1.30
1.48
1.65
1.48
1.65
1.48
1.65

20.0
20.0
18.0
18.0
16.0
16.0
16.0
16.0
16.0
16.0
14.0
14.0
14.0
14.0
14.0
12.8
12.8
12.8
10.8
10.8
10.8
10.0
10.0
10.0
10.0
10.0
10.0
9.63
9.63
9.63
9.63
9.63
8.63
8.63
8.63
8.63
8.63

2.00
2.00
2.00
2.00
1.50
1.50
1.00
1.00

1.65
1.30
1.48
1.65
0.978
1.15
0.478
0.652

8.63
7.63
7.63
7.50
7.50
7.50
7.50
7.50
7.00
7.00
7.00
7.00
7.00
7.00
6.88
6.88
6.88
6.88
6.88
6.63
6.63
6.63
6.63
6.63
6.63
6.63
6.63
6.00
6.00
6.00
6.00
6.00
6.00
6.00
5.56
5.56
5.56
5.56
5.56
5.50
5.50
5.50
5.00
5.00
5.00

5.00
5.00
5.00
5.00
4.50
4.50
4.50
4.50
4.50
4.00
4.00
4.00
4.00
4.00
4.00
4.00
3.50
3.50
3.50
3.50
3.50
3.50
3.50
3.00
3.00
3.00
3.00
3.00
3.00
3.00
2.88
2.88
2.88
2.88
2.50
2.50
2.50
2.38
2.38
2.38
2.38
2.38
1.90
1.90
1.90

1.66

ID

tw

twdet

twdet/2

tf

tfdet

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tdes

kdes

kdet

k1

0.625
0.500
0.375
0.3125
0.625
0.500
0.375
0.3125
0.500
0.375
0.3125
0.250
0.625
0.500
0.375
0.3125
0.250
0.625
0.500
0.375
0.3125
0.625
0.500
0.375
0.3125
0.625
0.500
0.375
0.3125
0.250
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.625
0.500
0.375
0.3125

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

0.250
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.3125
0.250

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
0.465
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

0.1875
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125
0.375

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

0.3125
0.250
0.1875
0.125
0.625
0.500
0.375
0.3125
0.250
0.1875
0.125
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.125
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125

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

0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125
0.625
0.500
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.250
0.1875
0.125
0.625
0.500
0.375

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

0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.500

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
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

0.375
0.3125
0.250
0.1875
0.125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.500
0.375
0.3125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125

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
0.465
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
0.349
0.291
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

0.375
0.3125
0.250
0.1875
0.125
0.250
0.1875
0.125
0.250
0.1875
0.125
0.375
0.3125
0.250
0.1875
0.125
0.3125
0.250
0.1875
0.125
0.3125
0.250
0.1875
0.125
0.250
0.1875
0.125
0.1875
0.125
0.3125
0.250
0.1875
0.125
0.250
0.1875
0.125
0.250
0.1875
0.125
0.1875
0.125
0.250
0.1875
0.125
0.1875

0.349
0.291
0.233
0.174
0.116

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

0.125
0.250
0.1875
0.125
0.1875
0.125
0.1875
0.125
0.500
0.375
0.500
0.375
0.625
0.500
0.438
0.375
0.312
0.250
0.625
0.500
0.375
0.312
0.250
0.500
0.375
0.250
0.500
0.375
0.250
0.625
0.500
0.375
0.312
0.250
0.188
0.500
0.375
0.312
0.250
0.188
0.625
0.500
0.375
0.322
0.250

0.116
0.233
0.174
0.116
0.174
0.116
0.174
0.116
0.465
0.349
0.465
0.349
0.581
0.465
0.407
0.349
0.291
0.233
0.581
0.465
0.349
0.291
0.233
0.465
0.349
0.233
0.465
0.349
0.233
0.581
0.465
0.349
0.291
0.233
0.174
0.465
0.349
0.291
0.233
0.174
0.581
0.465
0.349
0.300
0.233

0.188
0.375
0.328
0.500
0.375
0.312
0.250
0.188
0.500
0.375
0.312
0.250
0.188
0.125
0.500
0.375
0.312
0.250
0.188
0.500
0.432
0.375
0.312
0.280
0.250
0.188
0.125
0.500
0.375
0.312
0.280
0.250
0.188
0.125
0.500
0.375
0.258
0.188
0.134
0.500
0.375
0.258
0.500
0.375
0.312

0.174
0.349
0.305
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
0.402
0.349
0.291
0.260
0.233
0.174
0.116
0.465
0.349
0.291
0.260
0.233
0.174
0.116
0.465
0.349
0.240
0.174
0.124
0.465
0.349
0.240
0.465
0.349
0.291

0.258
0.250
0.188
0.125
0.375
0.337
0.237
0.188
0.125
0.313
0.250
0.237
0.226
0.220
0.188
0.125
0.313
0.300
0.250
0.216
0.203
0.188
0.125
0.250
0.216
0.203
0.188
0.152
0.134
0.125
0.250
0.203
0.188
0.125
0.250
0.188
0.125
0.250
0.218
0.188
0.154
0.125
0.188
0.145
0.120

0.240
0.233
0.174
0.116
0.349
0.313
0.220
0.174
0.116
0.291
0.233
0.220
0.210
0.205
0.174
0.116
0.291
0.279
0.233
0.201
0.189
0.174
0.116
0.233
0.201
0.189
0.174
0.141
0.124
0.116
0.233
0.189
0.174
0.116
0.233
0.174
0.116
0.233
0.203
0.174
0.143
0.116
0.174
0.135
0.111

0.140

0.130

eo

xp

yp

bf/2tf

b/t

b/tdes

h/tw

17.7
22.8
31.5
38.1
10.8
14.2
19.9
24.5
5.59
8.45
10.8
14.2
7.33
9.91
14.2
17.6
22.7
24.6
31.4
43.0
51.9
17.7
22.8
31.5
38.1
10.8
14.2
19.9
24.5
31.3
3.89
5.59
8.45
10.8
14.2
20.0
21.2
27.1
37.2
45.0
14.2
18.5
25.6
31.4

39.9
7.33
9.91
14.2
17.6
22.7
31.5
3.89
5.59
8.45
10.8
14.2
20.0
17.7
22.8
31.5
38.1
48.5
66.1
18.5
25.6
31.4
39.9
10.8
14.2
19.9
24.5
31.3
43.0
7.33
9.91
14.2
17.6
22.7
31.5
3.89
5.59
8.45
10.8
14.2
20.0
7.02
9.04
7.32
9.87

14.3
3.88
5.58
8.51
14.2
18.5
25.6
31.4
39.9
54.5
10.8
14.2
19.9
24.5
31.3
43.0
7.33
9.91
14.2
17.6
22.7
31.5
11.3
14.2
18.5
25.7
3.89
5.59
8.45
10.8
14.2
20.0
31.5
4.52
7.02
9.04
12.0
17.1
27.2
5.59
7.32
9.87
14.3
22.8
2.73

3.88
5.58
8.51
14.2
12.5
16.3
22.8
27.9
35.6
48.7
74.6
9.05
12.0
17.0
21.1
27.0
37.2
5.61
7.74
11.3
14.2
18.5
25.7
3.44
5.59
7.32
9.87
14.3
10.8
14.2
19.9
24.5
31.3
43.0
65.9
7.33
9.91
14.2
17.6
22.7
31.5
3.89
5.59
8.45
10.8

14.2
20.0
31.5
3.44
5.59
7.32
9.87
14.3
22.8
2.73
3.88
5.58
8.51
14.2
9.05
12.0
17.0
21.1
27.0
37.2
57.3
7.74
11.3
14.2
18.5
25.7
40.1
5.59
8.45
10.8
14.2
20.0
31.5
3.44
5.59
7.32
9.87
14.3
22.8
5.58
8.51
14.2
7.33
9.91
14.2

17.6
22.7
31.5
48.7
7.74
11.3
14.2
18.5
25.7
40.1
5.59
8.45
10.8
14.2
20.0
31.5
3.44
5.59
7.32
9.87
14.3
22.8
2.73
3.88
5.58
8.51
14.2
12.8
15.9
20.6
28.6
44.4
7.74
11.3
14.2
18.5
25.7
40.1
5.59
8.45
10.8
14.2
20.0
31.5
3.44

5.59
7.32
9.87
14.3
22.8
7.73
11.4
18.5
2.73
3.88
5.58
8.51
14.2
6.67
9.89
12.5
16.3
22.9
35.8
5.59
8.45
10.8
14.2
20.0
31.5
5.59
7.32
9.87
14.3
22.8
4.15
5.60
7.73
11.4
18.5
2.73
3.88
5.58
8.51
14.2
7.02
9.04
12.0
17.1
27.2

4.15
5.60
7.73
11.4
18.5

5.58
8.51
14.2
3.44
5.62
9.91
5.59
7.32
9.87
14.3
22.8
5.60
7.73
11.4
18.5
3.88
5.58
8.51
14.2
3.44
5.62
9.91
2.75
5.62
5.60
7.73
11.4
18.5
5.58
8.51
14.2
3.44
5.62
9.91
2.75
5.62
6.65
9.94
16.4
8.51

14.2
5.58
8.51
14.2
5.62
9.91
2.75
5.62

h/tdes

D/t

Ix

Zx

Sx

rx

Iy

31.5
40.0
54.4
65.6
31.5
40.0
54.4
65.6
40.0
54.4
65.6
82.8
28.1
35.7
48.7
58.8
74.2
24.6
31.4
43.0
51.9
24.6
31.4
43.0
51.9
24.6
31.4
43.0
51.9
65.7
24.6
31.4
43.0
51.9
65.7
89.1
21.2
27.1
37.2
45.0
21.2
27.1
37.2
45.0

1880
1550
1200
1010
1440
1190
926
786
838
657
560
458
923
770
602
513
419
1370
1130
873
739
1090
904
702
595
815
679
531
451
368
539
455
360
308
253
193
897
743
577
490
687
573
447
380

230
188
144
122
185
152
117
98.6
115
89.3
75.6
61.5
135
112
86.4
73.1
59.4
200
164
126
106
165
135
104
87.7
129
106
82.1
69.4
56.4
92.9
77.3
60.2
51.1
41.7
31.7
151
124
95.4
80.5
120
98.8
76.3
64.6

188
155
120
101
144
119
92.6
78.6
83.8
65.7
56.0
45.8
103
85.6
66.9
57.0
46.5
171
141
109
92.3
136
113
87.7
74.4
102
84.9
66.3
56.4
46.1
67.3
56.9
45.0
38.5
31.6
24.2
128
106
82.5
69.9
98.2
81.8
63.9
54.3

7.33
7.39
7.45
7.48
6.89
6.96
7.03
7.07
6.33
6.42
6.46
6.50
6.00
6.07
6.15
6.18
6.22
6.25
6.31
6.37
6.39
6.00
6.06
6.12
6.15
5.64
5.70
5.77
5.80
5.83
5.06
5.15
5.23
5.27
5.31
5.35
5.44
5.49
5.55
5.58
5.17
5.23
5.29
5.32

851
705
547
464
338
283
222
189
58.7
47.6
41.2
34.3
158
134
106
91.3
75.1
1370
1130
873
739
700
581
452
384
274
230
181
155
127
54.1
47.0
38.3
33.2
27.7
21.5
897
743
577
490
407
341
267
227

57.1
21.2
27.1
37.2
45.0
57.1
77.6
21.2
27.1
37.2
45.0
57.1
77.6
17.7
22.8
31.5
38.1
48.5
66.1
22.8
31.5
38.1
48.5
17.7
22.8
31.5
38.1
48.5
66.1
17.7
22.8
31.5
38.1
48.5
66.1
17.7
22.8
31.5
38.1
48.5
66.1
31.5
38.1
38.1
48.5

310
478
402
317
271
222
170
373
317
252
216
178
137
548
457
357
304
248
189
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

52.4
88.7
73.6
57.3
48.6
39.6
30.1
73.1
61.0
47.8
40.6
33.2
25.3
109
89.6
69.2
58.6
47.6
36.0
78.8
61.1
51.7
42.1
82.1
68.1
53.0
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

44.3
68.3
57.4
45.3
38.7
31.7
24.3
53.3
45.3
36.0
30.9
25.4
19.5
91.4
76.2
59.5
50.7
41.4
31.5
65.9
51.6
44.0
36.0
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
28.0
24.1
19.9
15.3
26.0
22.4
20.7
17.2

5.35
4.77
4.84
4.91
4.94
4.98
5.01
4.47
4.55
4.63
4.67
4.71
4.74
4.62
4.68
4.73
4.76
4.79
4.82
4.56
4.61
4.64
4.67
4.34
4.41
4.47
4.50
4.53
4.56
4.14
4.21
4.28
4.31
4.34
4.38
3.87
3.95
4.02
4.06
4.10
4.13
3.94
3.98
3.90
3.94

186
124
105
84.1
72.3
59.6
45.9
47.2
41.2
33.6
29.2
24.4
19.0
548
457
357
304
248
189
298
234
200
164
210
178
140
120
98.8
75.7
107
91.1
72.9
62.8
51.9
40.0
40.4
35.3
28.9
25.2
21.0
16.4
21.3
18.6
13.1
11.1

66.1
38.1
48.5
66.1
14.2
18.5
25.6
31.4
39.9
54.5
14.2
18.5
25.6
31.4
39.9
54.5
14.2
18.5
25.6
31.4
39.9
54.5
25.6
31.4
39.9
54.5
14.2
18.5
25.6
31.4
39.9
54.5
83.2
18.5
25.6
31.4
39.9
54.5
83.2
25.6
31.4
39.9
54.5
83.2
25.6

79.6
104
86.9
67.4
304
256
202
172
141
108
253
214
169
145
119
91.4
201
171
137
118
96.9
74.6
120
104
85.8
66.2
149
129
104
90.1
74.7
57.8
39.8
118
96.1
83.2
69.1
53.6
37.0
88.0
76.3
63.6
49.4
34.2
71.7

17.5
24.5
20.1
15.5
73.2
60.7
47.2
40.1
32.7
24.8
62.2
51.9
40.5
34.4
28.1
21.4
51.3
43.0
33.8
28.8
23.6
18.0
30.4
26.0
21.3
16.3
40.3
34.1
27.0
23.1
19.0
14.6
10.0
31.9
25.3
21.7
17.9
13.7
9.37
23.7
20.3
16.7
12.8
8.80
20.3

13.3
17.4
14.5
11.2
60.8
51.2
40.4
34.5
28.3
21.6
50.5
42.7
33.9
29.0
23.8
18.3
40.2
34.3
27.4
23.5
19.4
14.9
24.1
20.8
17.2
13.2
29.9
25.8
20.8
18.0
14.9
11.6
7.97
23.7
19.2
16.6
13.8
10.7
7.40
17.6
15.3
12.7
9.87
6.83
14.3

3.98
3.71
3.75
3.80
3.80
3.86
3.92
3.94
3.97
4.00
3.68
3.73
3.79
3.82
3.85
3.88
3.50
3.57
3.63
3.66
3.69
3.73
3.53
3.56
3.60
3.63
3.26
3.34
3.41
3.44
3.48
3.52
3.55
3.26
3.34
3.38
3.41
3.45
3.49
3.26
3.30
3.34
3.38
3.42
3.08

8.72
5.10
4.41
3.55
304
256
202
172
141
108
178
151
120
103
84.7
65.1
89.4
76.8
61.8
53.3
44.1
34.1
40.6
35.2
29.3
22.7
33.5
29.5
24.3
21.2
17.7
13.9
9.65
21.4
17.8
15.6
13.1
10.3
7.22
12.4
11.0
9.28
7.33
5.16
4.70

31.4
39.9
54.5
83.2
12.5
16.3
22.8
27.9
35.6
48.7
74.6
12.5
16.3
22.8
27.9
35.6
48.7
12.5
16.3
22.8
27.9
35.6
48.7
16.3
22.8
27.9
35.6
48.7
10.8
14.2
19.9
24.5
31.3
43.0
65.9
10.8
14.2
19.9
24.5
31.3
43.0
10.8
14.2
19.9
24.5

62.6
52.5
41.0
28.5
216
183
145
124
102
78.2
53.5
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
146
125
100
85.6
70.7
54.4
37.4
114
98.2
79.1
68.3
56.6
43.7
82.0
71.8
58.7
51.0

17.5
14.4
11.1
7.65
58.1
48.4
37.8
32.1
26.2
20.0
13.6
48.3
40.5
31.8
27.1
22.2
16.9
38.5
32.5
25.7
22.0
18.1
13.8
24.6
19.7
16.9
14.0
10.8
44.7
37.5
29.4
25.1
20.5
15.7
10.7
36.1
30.5
24.1
20.6
16.9
13.0
27.4
23.5
18.8
16.1

12.5
10.5
8.19
5.70
47.9
40.6
32.2
27.6
22.7
17.4
11.9
38.7
33.0
26.4
22.6
18.7
14.4
29.6
25.5
20.5
17.7
14.7
11.4
18.0
14.7
12.8
10.7
8.35
36.5
31.2
24.9
21.4
17.7
13.6
9.34
28.5
24.6
19.8
17.1
14.2
10.9
20.5
17.9
14.7
12.8

3.12
3.17
3.21
3.25
3.40
3.45
3.51
3.54
3.56
3.59
3.62
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
3.00
3.04
3.07
2.99
3.04
3.10
3.13
3.15
3.18
3.21
2.85
2.91
2.97
3.00
3.03
3.06
2.64
2.71
2.78
2.82

4.24
3.67
2.97
2.14
216
183
145
124
102
78.2
53.5
117
100
80.4
69.2
57.2
44.1
52.0
45.2
36.8
32.0
26.6
20.7
13.2
11.2
9.88
8.38
6.64
146
125
100
85.6
70.7
54.4
37.4
72.3
62.5
50.6
43.8
36.4
28.2
26.6
23.6
19.6
17.2

31.3
43.0
65.9
14.2
19.9
24.5
31.3
43.0
65.9
19.9
24.5
31.3
43.0
65.9
9.05
12.0
17.0
21.1
27.0
37.2
57.3
12.0
17.0
21.1
27.0
37.2
57.3
12.0
17.0
21.1
27.0
37.2
57.3
12.0
17.0
21.1
27.0
37.2
57.3
27.0
37.2
57.3
7.33
9.91
14.2

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
93.4
80.5
65.0
56.1
46.5
36.0
24.8
60.6
49.5
43.0
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
19.8
15.7
11.1
55.2
48.3
39.5

13.3
10.2
7.02
20.0
16.1
13.9
11.5
8.87
6.11
13.4
11.6
9.68
7.51
5.19
33.1
27.9
22.1
18.9
15.5
11.9
8.13
21.9
17.5
15.0
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
7.64
5.95
4.13
23.2
19.8
15.8

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
26.7
23.0
18.6
16.0
13.3
10.3
7.09
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
5.67
4.49
3.16
18.4
16.1
13.2

2.85
2.88
2.92
2.58
2.65
2.69
2.73
2.77
2.80
2.49
2.53
2.57
2.61
2.65
2.58
2.63
2.69
2.72
2.75
2.77
2.80
2.50
2.56
2.59
2.62
2.65
2.68
2.40
2.46
2.50
2.53
2.56
2.59
2.27
2.35
2.38
2.42
2.45
2.49
2.27
2.31
2.35
2.17
2.23
2.28

14.4
11.3
7.90
11.7
10.0
8.81
7.49
5.94
4.20
3.73
3.38
2.94
2.39
1.72
93.4
80.5
65.0
56.1
46.5
36.0
24.8
35.6
29.3
25.5
21.3
16.6
11.6
20.7
17.3
15.2
12.8
10.0
7.03
10.2
8.71
7.74
6.60
5.24
3.71
2.58
2.10
1.52
55.2
48.3
39.5

17.6
22.7
31.5
48.7
9.91
14.2
17.6
22.7
31.5
48.7
9.91
14.2
17.6
22.7
31.5
48.7
9.91
14.2
17.6
22.7
31.5
48.7
14.2
17.6
22.7
31.5
48.7
12.8
15.9
20.6
28.6
44.4
7.74
11.3
14.2
18.5
25.7
40.1
7.74
11.3
14.2
18.5
25.7
40.1
7.74

34.3
28.6
22.3
15.5
41.1
33.9
29.6
24.7
19.3
13.4
34.0
28.3
24.8
20.9
16.4
11.4
26.8
22.7
20.1
17.0
13.4
9.43
17.1
15.3
13.1
10.5
7.42
29.7
25.9
21.7
17.0
11.8
26.0
21.7
19.0
16.0
12.6
8.80
21.2
17.9
15.8
13.4
10.6
7.42
16.4

13.6
11.2
8.63
5.92
17.2
13.8
11.9
9.87
7.62
5.24
14.6
11.9
10.3
8.53
6.60
4.56
12.1
9.90
8.61
7.19
5.59
3.87
7.93
6.95
5.84
4.58
3.19
13.1
11.3
9.32
7.19
4.95
13.1
10.6
9.16
7.61
5.89
4.07
10.9
8.96
7.79
6.49
5.05
3.50
8.83

11.4
9.54
7.42
5.15
13.7
11.3
9.85
8.25
6.44
4.48
11.3
9.43
8.27
6.96
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
10.8
9.43
7.90
6.17
4.30
10.4
8.68
7.62
6.41
5.03
3.52
8.49
7.17
6.32
5.35
4.22
2.97
6.57

2.31
2.34
2.37
2.39
2.16
2.22
2.25
2.28
2.31
2.34
2.08
2.14
2.17
2.20
2.23
2.26
1.97
2.04
2.07
2.10
2.14
2.17
1.89
1.93
1.97
2.01
2.05
2.08
2.11
2.13
2.16
2.19
1.82
1.87
1.90
1.93
1.96
1.99
1.75
1.81
1.84
1.87
1.90
1.93
1.65

34.3
28.6
22.3
15.5
30.8
25.5
22.3
18.7
14.6
10.2
17.8
14.9
13.2
11.1
8.76
6.15
8.69
7.48
6.67
5.70
4.55
3.23
2.77
2.52
2.21
1.80
1.31
29.7
25.9
21.7
17.0
11.8
26.0
21.7
19.0
16.0
12.6
8.80
14.9
12.6
11.1
9.46
7.48
5.27
7.18

11.3
14.2
18.5
25.7
40.1
18.5
25.7
40.1
11.3
14.2
18.5
25.7
40.1
6.67
9.89
12.5
16.3
22.9
35.8
5.59
8.45
10.8
14.2
20.0
31.5
8.45
10.8
14.2
20.0
31.5
8.45
10.8
14.2
20.0
31.5
8.45
10.8
14.2
20.0
31.5
7.02
9.04
12.0
17.1
27.2

14.1
12.6
10.7
8.53
6.03
9.40
7.51
5.34
10.4
9.35
8.08
6.50
4.65
18.1
15.3
13.5
11.4
9.02
6.35
11.9
10.3
9.14
7.80
6.21
4.40
7.93
7.14
6.15
4.93
3.52
6.77
6.13
5.32
4.30
3.09
5.60
5.13
4.49
3.66
2.65
6.49
5.84
5.04
4.05
2.90

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
10.2
8.36
7.27
6.06
4.71
3.27
7.70
6.39
5.59
4.69
3.67
2.56
5.12
4.51
3.81
3.00
2.11
4.48
3.97
3.38
2.67
1.88
3.84
3.43
2.94
2.34
1.66
4.69
4.14
3.50
2.76
1.93

5.65
5.03
4.29
3.41
2.41
3.76
3.01
2.14
4.14
3.74
3.23
2.60
1.86
8.03
6.79
6.00
5.08
4.01
2.82
5.97
5.13
4.57
3.90
3.10
2.20
3.97
3.57
3.07
2.47
1.76
3.38
3.07
2.66
2.15
1.54
2.80
2.56
2.25
1.83
1.32
3.71
3.34
2.88
2.31
1.66

1.72
1.75
1.78
1.82
1.85
1.73
1.77
1.80
1.59
1.63
1.67
1.70
1.74
1.61
1.67
1.70
1.73
1.75
1.78
1.41
1.47
1.49
1.52
1.55
1.58
1.39
1.42
1.45
1.49
1.52
1.35
1.38
1.41
1.44
1.47
1.29
1.32
1.36
1.39
1.43
1.26
1.29
1.32
1.35
1.37

6.25
5.60
4.81
3.85
2.75
3.13
2.53
1.82
2.28
2.10
1.84
1.51
1.10
18.1
15.3
13.5
11.4
9.02
6.35
11.9
10.3
9.14
7.80
6.21
4.40
5.01
4.52
3.91
3.16
2.27
3.17
2.89
2.53
2.06
1.49
1.80
1.67
1.48
1.22
0.898
6.49
5.84
5.04
4.05
2.90

7.02
9.04
12.0
17.1
27.2

12.0
17.1
27.2
12.0
17.1
27.2
5.59
7.32
9.87
14.3
22.8
7.32
9.87
14.3
22.8
7.32
9.87
14.3
22.8
9.87
14.3
22.8
14.3
22.8
5.60
7.73
11.4
18.5
7.73
11.4
18.5
7.73
11.4
18.5
11.4
18.5
6.65
9.94
16.4
9.94

4.75
4.34
3.79
3.09
2.23

3.59
3.20
2.74
2.18
1.54

2.72
2.48
2.17
1.76
1.28

1.18
1.22
1.25
1.28
1.31

2.77
2.54
2.23
1.82
1.33

3.17
2.61
1.90
2.55
2.12
1.57
3.78
3.45
3.02
2.46
1.78
2.92
2.57
2.11
1.54
2.38
2.13
1.77
1.30
1.68
1.42
1.06
1.07
0.817
1.82
1.63
1.35
0.998
1.33
1.12
0.833
1.03
0.882
0.668
0.646
0.503
1.13
0.953
0.712
0.859

2.36
1.89
1.34
1.98
1.60
1.15
3.25
2.90
2.48
1.97
1.40
2.51
2.16
1.73
1.23
2.11
1.83
1.48
1.06
1.51
1.24
0.895
0.989
0.728
1.88
1.63
1.32
0.947
1.37
1.12
0.809
1.11
0.915
0.671
0.713
0.532
1.28
1.04
0.755
0.952

1.81
1.49
1.09
1.46
1.21
0.896
2.52
2.30
2.01
1.64
1.19
1.94
1.72
1.41
1.03
1.59
1.42
1.18
0.867
1.12
0.945
0.706
0.713
0.545
1.46
1.30
1.08
0.799
1.06
0.894
0.667
0.822
0.705
0.535
0.517
0.403
1.01
0.847
0.633
0.764

1.20
1.23
1.27
1.14
1.17
1.21
1.06
1.08
1.11
1.14
1.17
1.05
1.08
1.11
1.14
1.01
1.04
1.07
1.10
0.982
1.02
1.05
0.947
0.987
0.880
0.908
0.937
0.965
0.874
0.904
0.934
0.826
0.860
0.892
0.796
0.834
0.806
0.835
0.863
0.819

1.30
1.08
0.795
0.638
0.544
0.411
3.78
3.45
3.02
2.46
1.78
2.18
1.93
1.59
1.16
1.24
1.11
0.932
0.692
0.543
0.467
0.355
0.173
0.138
1.82
1.63
1.35
0.998
0.930
0.786
0.589
0.449
0.390
0.300
0.143
0.115
1.13
0.953
0.712
0.713

16.4
5.58
8.51
14.2
8.51
14.2
8.51
14.2

43.0
57.3
38.7
51.6
27.5
34.4
39.3
45.8
55.0
68.7
24.1
30.1
40.1
48.1
60.1
27.4
36.5
54.7
23.1
30.8
46.1
17.2
21.5
28.7
34.4
42.9
57.5
20.7
27.6
33.1
41.3
55.3
14.8
18.5
24.7
28.8
37.0

0.646
0.747
0.641
0.486
0.495
0.383
0.350
0.280
1360
1040
985
754
838
685
606
526
443
359
552
453
349
295
239
339
262
180
199
154
106
191
159
123
105
85.3
64.8
141
110
93.0
75.9
57.7
119
100
77.8
68.1
54.1

0.693
0.964
0.797
0.584
0.639
0.475
0.480
0.366
177
135
143
109
138
112
99.0
85.5
71.8
57.9
105
85.2
65.1
54.7
44.2
70.2
53.7
36.5
49.2
37.8
25.8
51.6
42.3
32.5
27.4
22.2
16.8
39.0
30.0
25.4
20.6
15.5
37.7
31.0
23.9
20.8
16.4

0.574
0.747
0.641
0.486
0.495
0.383
0.350
0.280
136
104
109
83.8
105
85.7
75.8
65.7
55.4
44.8
78.9
64.8
49.8
42.1
34.1
53.2
41.0
28.2
37.0
28.7
19.8
38.3
31.7
24.7
20.9
17.1
13.0
29.2
22.8
19.3
15.8
12.0
27.7
23.1
18.0
15.8
12.5

0.848
0.704
0.733
0.761
0.697
0.728
0.643
0.679
6.91
6.95
6.20
6.24
5.46
5.49
5.51
5.53
5.55
5.58
4.75
4.79
4.83
4.85
4.87
4.35
4.39
4.43
3.64
3.68
3.72
3.34
3.38
3.41
3.43
3.45
3.47
3.24
3.28
3.30
3.32
3.34
2.85
2.89
2.93
2.95
2.97

0.538
0.747
0.641
0.486
0.313
0.244
0.112
0.0922
1360
1040
985
754
838
685
606
526
443
359
552
453
349
295
239
339
262
180
199
154
106
191
159
123
105
85.3
64.8
141
110
93.0
75.9
57.7
119
100
77.8
68.1
54.1

49.6
21.8
25.0
16.1
21.5
25.8
32.2
43.1
15.1
20.1
24.1
30.0
40.2
60.3
14.8
19.7
23.6
29.5
39.5
14.2
16.5
19.0
22.8
25.5
28.4
38.1
57.1
12.9
17.2
20.6
23.1
25.8
34.5
51.7
12.0
15.9
23.2
32.0
44.9
11.8
15.8
22.9
10.8
14.3
17.2

41.3
52.9
47.1
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
38.2
34.0
29.1
26.4
23.9
18.4
12.6
31.2
24.8
21.3
19.3
17.6
13.5
9.28
24.4
19.5
14.2
10.7
7.84
23.5
18.8
13.7
17.2
13.9
12.0

12.4
18.5
16.4
23.0
17.9
15.1
12.3
9.34
19.9
15.5
13.1
10.7
8.11
5.50
19.1
14.9
12.6
10.3
7.81
17.7
15.6
13.8
11.7
10.5
9.52
7.24
4.92
14.3
11.2
9.49
8.57
7.75
5.91
4.02
12.1
9.50
6.80
5.05
3.67
11.8
9.27
6.64
9.60
7.56
6.46

9.57
13.9
12.3
17.0
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
13.0
11.5
10.3
8.79
7.96
7.22
5.54
3.79
10.4
8.28
7.11
6.45
5.86
4.51
3.09
8.77
7.02
5.12
3.85
2.82
8.55
6.84
5.00
6.88
5.55
4.79

2.99
2.58
2.59
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
2.20
2.22
2.24
2.25
2.26
2.28
2.30
1.96
2.00
2.02
2.03
2.04
2.06
2.08
1.81
1.85
1.88
1.91
1.92
1.79
1.83
1.86
1.61
1.65
1.67

41.3
52.9
47.1
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
38.2
34.0
29.1
26.4
23.9
18.4
12.6
31.2
24.8
21.3
19.3
17.6
13.5
9.28
24.4
19.5
14.2
10.7
7.84
23.5
18.8
13.7
17.2
13.9
12.0

20.8
21.5
28.7
43.1
12.9
14.4
20.5
25.9
38.8
13.7
17.2
18.2
19.0
19.5
23.0
34.5
12.0
12.5
15.0
17.4
18.5
20.1
30.2
12.9
14.9
15.9
17.2
21.3
24.2
25.9
12.3
15.2
16.5
24.8
10.7
14.4
21.6
10.2
11.7
13.6
16.6
20.5
10.9
14.1
17.1

10.2
9.94
7.69
5.31
9.87
9.07
6.79
5.54
3.84
5.87
4.91
4.68
4.50
4.41
3.83
2.67
3.81
3.69
3.21
2.84
2.70
2.52
1.77
1.95
1.74
1.66
1.55
1.30
1.16
1.09
1.70
1.45
1.35
0.958
1.08
0.865
0.619
0.910
0.824
0.733
0.627
0.527
0.355
0.293
0.251

5.44
5.30
4.05
2.77
6.03
5.50
4.03
3.26
2.23
4.01
3.31
3.15
3.02
2.96
2.55
1.75
3.00
2.90
2.49
2.19
2.07
1.93
1.33
1.79
1.58
1.50
1.39
1.15
1.03
0.965
1.63
1.37
1.27
0.884
1.20
0.943
0.660
1.07
0.960
0.845
0.713
0.592
0.520
0.421
0.356

4.08
3.97
3.08
2.12
4.39
4.03
3.02
2.46
1.71
2.93
2.45
2.34
2.25
2.21
1.92
1.34
2.18
2.11
1.83
1.63
1.54
1.44
1.01
1.30
1.16
1.10
1.03
0.865
0.774
0.730
1.18
1.01
0.941
0.667
0.862
0.692
0.495
0.766
0.694
0.617
0.528
0.443
0.374
0.309
0.264

1.69
1.69
1.71
1.73
1.47
1.48
1.52
1.53
1.55
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
1.20
0.982
0.992
0.996
1.00
1.01
1.02
1.02
0.938
0.952
0.957
0.976
0.806
0.825
0.844
0.762
0.771
0.781
0.791
0.800
0.613
0.626
0.634

10.2
9.94
7.69
5.31
9.87
9.07
6.79
5.54
3.84
5.87
4.91
4.68
4.50
4.41
3.83
2.67
3.81
3.69
3.21
2.84
2.70
2.52
1.77
1.95
1.74
1.66
1.55
1.30
1.16
1.09
1.70
1.45
1.35
0.958
1.08
0.865
0.619
0.910
0.824
0.733
0.627
0.527
0.355
0.293
0.251

12.8

0.184

0.305

0.222

0.543

0.184

Zy

Sy

ry

Iz

rz

Sz

162
132
102
85.8
96.4
79.5
61.5
52.0
34.0
26.8
22.9
18.7
61.0
50.7
39.5
33.5
27.3
200
164
126
106
135
111
85.5
72.2
79.2
65.5
50.8
43.0
35.0
32.5
27.4
21.7
18.5
15.2
11.7
151
124
95.4
80.5
95.1
78.5
60.7
51.4

142
117
91.1
77.3
84.6
70.8
55.6
47.4
29.3
23.8
20.6
17.1
52.7
44.6
35.5
30.4
25.0
171
141
109
92.3
117
96.8
75.3
64.0
68.6
57.6
45.3
38.7
31.7
27.0
23.5
19.1
16.6
13.8
10.8
128
106
82.5
69.9
81.5
68.1
53.4
45.5

4.93
4.99
5.04
5.07
3.34
3.39
3.44
3.47
1.68
1.73
1.75
1.78
2.48
2.53
2.58
2.61
2.63
6.25
6.31
6.37
6.39
4.80
4.86
4.91
4.94
3.27
3.32
3.37
3.40
3.42
1.60
1.65
1.71
1.73
1.76
1.78
5.44
5.49
5.55
5.58
3.98
4.04
4.09
4.12

1890
1540
1180
997
916
757
586
496
195
156
134
111
462
387
302
257
210
2170
1770
1350
1140
1370
1120
862
727
681
563
436
369
300
174
150
120
103
85.2
65.5
1430
1170
900
759
832
685
528
446

41.8
48.4
40.4
31.6
26.9
22.0
16.7
28.5
24.1
19.1
16.4
13.5
10.3
109
89.6
69.2
58.6
47.6
36.0
69.6
54.0
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
9.00
14.0
12.1
10.0
8.28

37.2
41.2
35.1
28.0
24.1
19.9
15.3
23.6
20.6
16.8
14.6
12.2
9.48
91.4
76.2
59.5
50.7
41.4
31.5
59.7
46.9
40.0
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
8.20
12.2
10.6
8.73
7.38

4.14
2.43
2.48
2.53
2.55
2.58
2.61
1.59
1.64
1.69
1.72
1.74
1.77
4.62
4.68
4.73
4.76
4.79
4.82
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
1.70
1.72
1.75
1.46
1.48
1.27
1.29

362
334
279
219
186
152
116
148
127
102
87.7
72.4
55.8
885
728
561
474
384
290
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
56.0
41.3
34.5

6.40
6.05
5.08
3.97
73.2
60.7
47.2
40.1
32.7
24.8
53.3
44.5
34.8
29.6
24.2
18.4
35.8
30.1
23.7
20.2
16.6
12.7
18.7
16.0
13.2
10.1
20.6
17.6
14.0
12.1
10.0
7.66
5.26
14.7
11.8
10.2
8.45
6.52
4.48
9.73
8.42
6.99
5.41
3.74
5.76

5.81
5.10
4.41
3.55
60.8
51.2
40.4
34.5
28.3
21.6
44.5
37.8
30.0
25.7
21.2
16.3
29.8
25.6
20.6
17.8
14.7
11.4
16.2
14.1
11.7
9.09
16.8
14.7
12.1
10.6
8.87
6.93
4.83
12.2
10.2
8.92
7.51
5.89
4.12
8.28
7.30
6.19
4.89
3.44
4.70

1.32
0.820
0.845
0.872
3.80
3.86
3.92
3.94
3.97
4.00
3.09
3.14
3.19
3.22
3.25
3.28
2.34
2.39
2.44
2.47
2.49
2.52
2.05
2.07
2.10
2.13
1.54
1.59
1.64
1.67
1.70
1.72
1.75
1.39
1.44
1.46
1.49
1.51
1.54
1.22
1.25
1.28
1.30
1.33
0.787

26.8
17.6
15.1
12.0
498
412
320
271
220
167
346
288
224
190
155
118
209
176
139
118
96.7
73.8
100
86.0
70.7
54.1
95.7
82.6
66.5
57.3
47.4
36.5
25.1
63.2
51.5
44.6
37.0
28.6
19.8
37.8
33.0
27.6
21.5
14.9
15.9

5.06
4.26
3.34
2.33
58.1
48.4
37.8
32.1
26.2
20.0
13.6
40.5
34.0
26.7
22.8
18.7
14.3
25.3
21.5
17.1
14.6
12.0
9.25
10.8
8.80
7.63
6.35
4.92
44.7
37.5
29.4
25.1
20.5
15.7
10.7
29.5
24.9
19.8
16.9
13.9
10.7
16.6
14.3
11.5
9.91

4.24
3.67
2.97
2.14
47.9
40.6
32.2
27.6
22.7
17.4
11.9
33.5
28.7
23.0
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
36.5
31.2
24.9
21.4
17.7
13.6
9.34
24.1
20.8
16.9
14.6
12.1
9.39
13.3
11.8
9.80
8.58

0.812
0.838
0.864
0.890
3.40
3.45
3.51
3.54
3.56
3.59
3.62
2.68
2.73
2.78
2.81
2.84
2.87
1.92
1.97
2.03
2.05
2.08
2.10
1.17
1.21
1.24
1.27
1.29
2.99
3.04
3.10
3.13
3.15
3.18
3.21
2.27
2.32
2.38
2.40
2.43
2.46
1.51
1.56
1.61
1.63

14.2
12.2
9.74
6.90
356
296
231
196
159
121
82.0
235
197
154
131
107
81.7
128
109
86.9
74.4
61.2
46.9
40.0
33.1
28.9
24.2
18.9
244
204
160
136
111
84.5
57.3
150
127
100
85.8
70.3
53.7
70.3
61.1
49.3
42.6

8.20
6.33
4.36
9.64
7.88
6.84
5.70
4.43
3.07
4.61
4.06
3.43
2.70
1.90
33.1
27.9
22.1
18.9
15.5
11.9
8.13
17.3
13.8
11.9
9.83
7.57
5.20
12.6
10.2
8.83
7.33
5.67
3.91
8.46
6.95
6.05
5.06
3.94
2.73
3.02
2.39
1.68
23.2
19.8
15.8

7.21
5.65
3.95
7.81
6.63
5.87
4.99
3.96
2.80
3.73
3.38
2.94
2.39
1.72
26.7
23.0
18.6
16.0
13.3
10.3
7.09
14.2
11.7
10.2
8.53
6.65
4.63
10.4
8.63
7.58
6.38
5.02
3.51
6.80
5.81
5.16
4.40
3.50
2.48
2.58
2.10
1.52
18.4
16.1
13.2

1.66
1.69
1.71
1.15
1.20
1.23
1.25
1.28
1.31
0.777
0.802
0.827
0.853
0.879
2.58
2.63
2.69
2.72
2.75
2.77
2.80
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
0.819
0.845
0.871
2.17
2.23
2.28

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
5.30
158
133
105
89.7
73.5
56.1
38.2
75.8
60.6
52.1
42.9
32.9
22.5
50.5
41.0
35.4
29.3
22.7
15.6
28.6
23.9
20.9
17.5
13.7
9.48
7.95
6.35
4.51
94.9
81.1
64.6

13.6
11.2
8.63
5.92
15.2
12.2
10.5
8.72
6.73
4.63
11.0
8.94
7.75
6.45
5.00
3.46
7.28
6.03
5.27
4.41
3.45
2.40
3.46
3.07
2.61
2.07
1.46
13.1
11.3
9.32
7.19
4.95
13.1
10.6
9.16
7.61
5.89
4.07
9.35
7.67
6.67
5.57
4.34
3.01
6.10

11.4
9.54
7.42
5.15
12.3
10.2
8.91
7.47
5.84
4.07
8.89
7.47
6.58
5.56
4.38
3.08
5.79
4.99
4.45
3.80
3.03
2.15
2.77
2.52
2.21
1.80
1.31
10.8
9.43
7.90
6.17
4.30
10.4
8.68
7.62
6.41
5.03
3.52
7.43
6.30
5.57
4.73
3.74
2.64
4.78

2.31
2.34
2.37
2.39
1.87
1.92
1.95
1.98
2.01
2.03
1.50
1.55
1.58
1.61
1.63
1.66
1.12
1.17
1.19
1.22
1.25
1.27
0.760
0.785
0.810
0.836
0.861
2.08
2.11
2.13
2.16
2.19
1.82
1.87
1.90
1.93
1.96
1.99
1.46
1.52
1.54
1.57
1.60
1.62
1.09

55.4
45.6
35.0
23.9
59.8
48.1
41.4
34.2
26.3
18.0
40.3
32.8
28.4
23.6
18.2
12.6
23.1
19.3
16.9
14.2
11.1
7.73
8.42
7.60
6.55
5.24
3.72
49.0
42.2
34.8
26.7
18.3
44.6
36.1
31.2
25.8
19.9
13.7
30.3
24.9
21.7
18.0
14.0
9.66
17.6

5.10
4.48
3.77
2.96
2.07
2.95
2.33
1.64
2.88
2.57
2.20
1.75
1.24
10.2
8.36
7.27
6.06
4.71
3.27
7.70
6.39
5.59
4.69
3.67
2.56
4.18
3.69
3.12
2.46
1.73
3.20
2.85
2.43
1.93
1.36
2.31
2.08
1.79
1.43
1.02
4.69
4.14
3.50
2.76
1.93

4.16
3.73
3.21
2.57
1.83
2.50
2.03
1.46
2.28
2.10
1.84
1.51
1.10
8.03
6.79
6.00
5.08
4.01
2.82
5.97
5.13
4.57
3.90
3.10
2.20
3.34
3.02
2.61
2.10
1.51
2.54
2.32
2.02
1.65
1.19
1.80
1.67
1.48
1.22
0.898
3.71
3.34
2.88
2.31
1.66

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
1.61
1.67
1.70
1.73
1.75
1.78
1.41
1.47
1.49
1.52
1.55
1.58
1.11
1.13
1.16
1.19
1.21
0.922
0.947
0.973
0.999
1.03
0.729
0.754
0.779
0.804
0.830
1.26
1.29
1.32
1.35
1.37

14.9
13.1
11.0
8.64
6.02
7.93
6.26
4.40
6.61
5.99
5.17
4.15
2.95
31.3
25.7
22.3
18.5
14.4
9.92
21.0
17.5
15.3
12.8
10.0
6.91
10.6
9.41
7.96
6.26
4.38
7.57
6.77
5.78
4.59
3.23
4.83
4.40
3.82
3.08
2.20
11.2
9.89
8.35
6.56
4.58

2.82
2.52
2.16
1.72
1.22

2.21
2.03
1.78
1.46
1.06

0.904
0.930
0.956
0.983
1.01

1.58
1.27
0.912
1.06
0.867
0.630
3.25
2.90
2.48
1.97
1.40
2.20
1.90
1.52
1.09
1.58
1.38
1.12
0.803
0.911
0.752
0.550
0.432
0.325
1.88
1.63
1.32
0.947
1.17
0.956
0.694
0.764
0.636
0.469
0.360
0.274
1.28
1.04
0.755
0.877

1.30
1.08
0.795
0.851
0.725
0.548
2.52
2.30
2.01
1.64
1.19
1.74
1.54
1.27
0.931
1.24
1.11
0.932
0.692
0.725
0.622
0.474
0.345
0.276
1.46
1.30
1.08
0.799
0.930
0.786
0.589
0.599
0.520
0.399
0.285
0.230
1.01
0.847
0.633
0.713

0.766
0.792
0.818
0.569
0.594
0.619
1.06
1.08
1.11
1.14
1.17
0.908
0.935
0.963
0.990
0.725
0.751
0.778
0.804
0.559
0.584
0.610
0.380
0.405
0.880
0.908
0.937
0.965
0.731
0.758
0.785
0.546
0.572
0.597
0.374
0.399
0.806
0.835
0.863
0.747

6.16
5.53
4.75
3.78
2.67

3.16
2.55
1.83
1.79
1.49
1.09
6.64
5.94
5.08
4.03
2.84
4.34
3.74
3.00
2.13
2.87
2.52
2.05
1.47
1.44
1.21
0.886
0.526
0.408
3.20
2.79
2.25
1.61
1.90
1.55
1.12
1.10
0.929
0.687
0.412
0.322
1.96
1.60
1.15
1.32

0.639
0.964
0.797
0.584
0.521
0.389
0.288
0.223
177
135
143
109
138
112
99.0
85.5
71.8
57.9
105
85.2
65.1
54.7
44.2
70.2
53.7
36.5
49.2
37.8
25.8
51.6
42.3
32.5
27.4
22.2
16.8
39.0
30.0
25.4
20.6
15.5
37.7
31.0
23.9
20.8
16.4

0.538
0.747
0.641
0.486
0.417
0.325
0.225
0.184
136
104
109
83.8
105
85.7
75.8
65.7
55.4
44.8
78.9
64.8
49.8
42.1
34.1
53.2
41.0
28.2
37.0
28.7
19.8
38.3
31.7
24.7
20.9
17.1
13.0
29.2
22.8
19.3
15.8
12.0
27.7
23.1
18.0
15.8
12.5

0.774
0.704
0.733
0.761
0.554
0.581
0.365
0.390
6.91
6.95
6.20
6.24
5.46
5.49
5.51
5.53
5.55
5.58
4.75
4.79
4.83
4.85
4.87
4.35
4.39
4.43
3.64
3.68
3.72
3.34
3.38
3.41
3.43
3.45
3.47
3.24
3.28
3.30
3.32
3.34
2.85
2.89
2.93
2.95
2.97

0.957
1.31
1.09
0.796
0.664
0.496
0.301
0.238
2720
2080
1970
1510
1680
1370
1210
1050
886
717
1100
907
698
589
478
678
523
359
398
309
213
383
317
247
209
171
130
281
219
186
152
115
239
199
156
136
108

12.4
18.5
16.4
23.0
17.9
15.1
12.3
9.34
19.9
15.5
13.1
10.7
8.11
5.50
19.1
14.9
12.6
10.3
7.81
17.7
15.6
13.8
11.7
10.5
9.52
7.24
4.92
14.3
11.2
9.49
8.57
7.75
5.91
4.02
12.1
9.50
6.80
5.05
3.67
11.8
9.27
6.64
9.60
7.56
6.46

9.57
13.9
12.3
17.0
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
13.0
11.5
10.3
8.79
7.96
7.22
5.54
3.79
10.4
8.28
7.11
6.45
5.86
4.51
3.09
8.77
7.02
5.12
3.85
2.82
8.55
6.84
5.00
6.88
5.55
4.79

2.99
2.58
2.59
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
2.20
2.22
2.24
2.25
2.26
2.28
2.30
1.96
2.00
2.02
2.03
2.04
2.06
2.08
1.81
1.85
1.88
1.91
1.92
1.79
1.83
1.86
1.61
1.65
1.67

82.5
106
94.1
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
76.4
68.0
58.2
52.7
47.9
36.7
25.1
62.4
49.7
42.6
38.7
35.2
27.0
18.6
48.8
39.0
28.5
21.4
15.7
47.0
37.6
27.5
34.4
27.7
24.0

5.44
5.30
4.05
2.77
6.03
5.50
4.03
3.26
2.23
4.01
3.31
3.15
3.02
2.96
2.55
1.75
3.00
2.90
2.49
2.19
2.07
1.93
1.33
1.79
1.58
1.50
1.39
1.15
1.03
0.965
1.63
1.37
1.27
0.884
1.20
0.943
0.660
1.07
0.960
0.845
0.713
0.592
0.520
0.421
0.356

4.08
3.97
3.08
2.12
4.39
4.03
3.02
2.46
1.71
2.93
2.45
2.34
2.25
2.21
1.92
1.34
2.18
2.11
1.83
1.63
1.54
1.44
1.01
1.30
1.16
1.10
1.03
0.865
0.774
0.730
1.18
1.01
0.941
0.667
0.862
0.692
0.495
0.766
0.694
0.617
0.528
0.443
0.374
0.309
0.264

1.69
1.69
1.71
1.73
1.47
1.48
1.52
1.53
1.55
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
1.20
0.982
0.992
0.996
1.00
1.01
1.02
1.02
0.938
0.952
0.957
0.976
0.806
0.825
0.844
0.762
0.771
0.781
0.791
0.800
0.613
0.626
0.634

20.4
19.9
15.4
10.6
19.7
18.1
13.6
11.1
7.68
11.7
9.82
9.36
9.01
8.83
7.67
5.34
7.61
7.38
6.41
5.69
5.41
5.04
3.53
3.90
3.48
3.31
3.10
2.59
2.32
2.19
3.40
2.89
2.70
1.92
2.15
1.73
1.24
1.82
1.65
1.47
1.25
1.05
0.710
0.586
0.501

0.305

0.222

0.543

0.368

Cw

Wno

Sw1

Sw2

Sw3

Qf

257
209
160
134
167
137
105
88.3
63.8
49.9
42.4
34.7
109
89.9
69.5
58.7
47.7
276
224
171
144
204
166
127
107
132
108
83.4
70.4
57.0
60.5
50.7
39.7
33.8
27.6
21.1
208
170
130
109
146
120
91.8
77.4

62.6
83.7
69.3
53.7
45.5
36.9
28.0
52.6
44.1
34.6
29.5
24.1
18.4
151
123
94.6
79.7
64.5
48.6
102
78.3
66.1
53.5
97.7
80.4
62.1
52.4
42.5
32.2
71.1
59.0
45.8
38.8
31.6
24.0
44.6
37.5
29.5
25.2
20.6
15.7
25.5
21.8
18.4
15.1

11.6
11.6
9.64
7.49
102
84.2
64.8
54.8
44.4
33.6
80.4
66.4
51.4
43.5
35.3
26.7
58.6
48.7
37.9
32.2
26.2
19.9
31.2
26.5
21.6
16.5
36.7
31.0
24.4
20.9
17.1
13.1
8.90
26.5
21.1
18.0
14.8
11.4
7.75
17.7
15.2
12.5
9.64
6.61
11.0

9.56
7.99
6.22
4.31
81.6
67.4
52.1
44.0
35.8
27.1
18.3
62.0
51.5
40.0
33.9
27.6
20.9
42.5
35.6
27.9
23.8
19.4
14.8
19.7
15.8
13.6
11.3
8.66
63.2
52.4
40.7
34.5
28.1
21.3
14.4
46.0
38.4
30.0
25.5
20.8
15.8
28.7
24.4
19.3
16.5

13.6
10.4
7.10
17.4
14.0
12.1
10.0
7.68
5.27
8.65
7.57
6.35
4.95
3.44
47.1
39.3
30.7
26.1
21.3
16.2
11.0
27.2
21.4
18.3
15.0
11.4
7.79
21.1
16.8
14.4
11.8
9.07
6.20
15.0
12.1
10.5
8.68
6.69
4.60
5.52
4.32
3.00
33.4
28.1
22.1

18.9
15.4
11.8
8.03
23.0
18.2
15.6
12.8
9.76
6.66
17.8
14.2
12.2
10.1
7.74
5.30
12.7
10.3
8.91
7.39
5.71
3.93
6.35
5.58
4.70
3.68
2.57
18.4
15.7
12.9
9.85
6.72
18.7
14.9
12.8
10.5
8.08
5.53
14.5
11.7
10.1
8.32
6.41
4.39
10.3

8.44
7.33
6.10
4.73
3.26
4.99
3.89
2.70
5.20
4.59
3.88
3.05
2.13
14.8
11.9
10.2
8.44
6.49
4.45
11.2
9.14
7.91
6.56
5.07
3.49
6.59
5.75
4.81
3.74
2.59
5.32
4.67
3.93
3.08
2.14
4.04
3.59
3.05
2.41
1.69
6.77
5.90
4.92
3.83
2.65

4.57
4.03
3.40
2.67
1.87

2.64
2.09
1.47
1.88
1.51
1.08
4.74
4.18
3.52
2.76
1.92
3.39
2.87
2.27
1.59
2.60
2.23
1.78
1.25
1.58
1.28
0.920
0.792
0.585
2.74
2.35
1.86
1.31
1.82
1.46
1.04
1.29
1.05
0.759
0.648
0.483
1.85
1.48
1.05
1.30

0.927
1.41
1.14
0.817
0.822
0.599
0.505
0.380
272
208
219
168
209
171
152
131
111
89.7
158
130
100
84.2
68.2
106
82.1
56.3
74.1
57.4
39.6
76.6
63.5
49.3
41.9
34.1
25.9
58.5
45.5
38.7
31.5
24.0
55.4
46.2
36.1
31.6
25.1

19.1
27.8
24.7
34.1
26.8
22.9
18.7
14.3
29.3
23.1
19.8
16.2
12.4
8.49
28.1
22.2
19.0
15.6
12.0
25.9
23.1
20.5
17.6
15.9
14.4
11.1
7.59
20.8
16.6
14.2
12.9
11.7
9.02
6.19
17.5
14.0
10.2
7.70
5.64
17.1
13.7
10.0
13.8
11.1
9.58

8.15
7.95
6.15
4.25
8.78
8.06
6.04
4.93
3.41
5.87
4.91
4.68
4.50
4.41
3.83
2.67
4.35
4.22
3.66
3.25
3.09
2.88
2.02
2.60
2.32
2.21
2.06
1.73
1.55
1.46
2.37
2.01
1.88
1.33
1.72
1.38
0.990
1.53
1.39
1.23
1.06
0.887
0.747
0.617
0.527

0.444

Qw

ro

tan()

Qs

Iw

zA

zB

zC

wA

wB

wC

SwA

SwB

SwC

SzA

SzB

SzC

rts

ho

PA

PB

Shape
HSS22X22X7/8
HSS22X22X3/4
HSS20X20X7/8
HSS20X20X3/4
HSS20X20X5/8
HSS20X20X1/2
HSS18X18X7/8
HSS18X18X3/4
HSS18X18X5/8
HSS18X18X1/2
HSS16X16X7/8
HSS16X16X3/4
HSS16X16X5/8
HSS16X16X1/2
HSS16X16X3/8
HSS16X16X5/16
HSS14X14X7/8
HSS14X14X3/4
HSS14X14X5/8
HSS14X14X1/2
HSS14X14X3/8
HSS14X14X5/16
HSS12X12X3/4
HSS12X12X5/8
HSS12X12X1/2
HSS12X12X3/8
HSS12X12X5/16
HSS12X12X1/4
HSS12X12X3/16
HSS10X10X3/4
HSS10X10X5/8
HSS10X10X1/2
HSS10X10X3/8
HSS10X10X5/16
HSS10X10X1/4
HSS10X10X3/16
HSS9X9X5/8
HSS9X9X1/2
HSS9X9X3/8
HSS9X9X5/16
HSS9X9X1/4
HSS9X9X3/16

Shape
B

tnom

in

in

in

22
22
20
20
20
20
18
18
18
18
16
16
16
16
16
16
14
14
14
14
14
14
12
12
12
12
12
12
12
10
10
10
10
10
10
10
9
9
9
9
9
9

22
22
20
20
20
20
18
18
18
18
16
16
16
16
16
16
14
14
14
14
14
14
12
12
12
12
12
12
12
10
10
10
10
10
10
10
9
9
9
9
9
9

0.875
0.750
0.875
0.750
0.625
0.500
0.875
0.750
0.625
0.500
0.875
0.750
0.625
0.500
0.375
0.3125
0.875
0.750
0.625
0.500
0.375
0.3125
0.750
0.625
0.500
0.375
0.3125
0.250
0.1875
0.750
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875

Design
Wall
Thickness,
t
in.
0.875
0.750
0.875
0.750
0.625
0.500
0.875
0.750
0.625
0.500
0.875
0.750
0.625
0.500
0.375
0.313
0.875
0.750
0.625
0.500
0.375
0.313
0.750
0.625
0.500
0.375
0.313
0.250
0.188
0.750
0.625
0.500
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188

Nominal
Wt
lb/ft
244.88
212.00
221.06
191.58
161.40
130.52
197.24
171.16
144.39
116.91
173.43
150.75
127.37
103.30
78.52
65.87
149.61
130.33
110.36
89.68
68.31
57.36
109.91
93.34
76.07
58.10
48.86
39.43
29.84
89.50
76.33
62.46
47.90
40.35
32.63
24.73
67.82
55.66
42.79
36.10
29.23
22.18

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
HSS5-1/2X5-1/2X3/8
HSS5-1/2X5-1/2X5/16
HSS5-1/2X5-1/2X1/4
HSS5-1/2X5-1/2X3/16
HSS5X5X1/2
HSS5X5X3/8
HSS5X5X5/16
HSS5X5X1/4
HSS5X5X3/16
HSS4-1/2X4-1/2X1/2
HSS4-1/2X4-1/2X3/8
HSS4-1/2X4-1/2X5/16
HSS4-1/2X4-1/2X1/4
HSS4-1/2X4-1/2X3/16
HSS4X4X1/2
HSS4X4X3/8
HSS4X4X5/16
HSS4X4X1/4
HSS4X4X3/16
HSS3-1/2X3-1/2X3/8
HSS3-1/2X3-1/2X5/16
HSS3-1/2X3-1/2X1/4
HSS3-1/2X3-1/2X3/16
HSS3X3X3/8
HSS3X3X5/16
HSS3X3X1/4
HSS3X3X3/16

8
8
8
8
8
8
7
7
7
7
7
7
6
6
6
6
6
6
5.5
5.5
5.5
5.5
5
5
5
5
5
4.5
4.5
4.5
4.5
4.5
4
4
4
4
4
3.5
3.5
3.5
3.5
3
3
3
3

8
8
8
8
8
8
7
7
7
7
7
7
6
6
6
6
6
6
5.5
5.5
5.5
5.5
5
5
5
5
5
4.5
4.5
4.5
4.5
4.5
4
4
4
4
4
3.5
3.5
3.5
3.5
3
3
3
3

0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875

0.625
0.500
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188

59.32
48.85
37.69
31.84
25.82
19.63
50.81
42.05
32.58
27.59
22.42
17.08
42.30
35.24
27.48
23.34
19.02
14.53
24.93
21.21
17.32
13.25
28.43
22.37
19.08
15.62
11.97
25.03
19.82
16.96
13.91
10.70
21.63
17.27
14.83
12.21
9.42
14.72
12.70
10.51
8.15
12.17
10.58
8.81
6.87

HSS2-1/2X2-1/2X5/16
HSS2-1/2X2-1/2X1/4
HSS2-1/2X2-1/2X3/16
HSS2-1/4X2-1/4X1/4
HSS2-1/4X2-1/4X3/16
HSS2X2X1/4
HSS2X2X3/16

2.5
2.5
2.5
2.25
2.25
2
2

2.5
2.5
2.5
2.25
2.25
2
2

0.3125
0.250
0.1875
0.250
0.1875
0.250
0.1875

Shape

Shape
B

tnom

HSS24X12X3/4
HSS24X12X5/8
HSS24X12X1/2
HSS20X12X3/4
HSS20X12X5/8
HSS20X12X1/2
HSS20X12X3/8
HSS20X12X5/16
HSS20X8X5/8
HSS20X8X1/2
HSS20X8X3/8
HSS20X8X5/16
HSS20X4X1/2
HSS20X4X3/8
HSS20X4X5/16
HSS20X4X1/4
HSS18X6X5/8
HSS18X6X1/2
HSS18X6X3/8
HSS18X6X5/16
HSS18X6X1/4
HSS16X12X3/4
HSS16X12X5/8
HSS16X12X1/2
HSS16X12X3/8
HSS16X12X5/16
HSS16X8X5/8
HSS16X8X1/2
HSS16X8X3/8
HSS16X8X5/16
HSS16X8X1/4
HSS16X4X5/8
HSS16X4X1/2
HSS16X4X3/8

in
24
24
24
20
20
20
20
20
20
20
20
20
20
20
20
20
18
18
18
18
18
16
16
16
16
16
16
16
16
16
16
16
16
16

in
12
12
12
12
12
12
12
12
8
8
8
8
4
4
4
4
6
6
6
6
6
12
12
12
12
12
8
8
8
8
8
4
4
4

in
0.750
0.625
0.500
0.750
0.625
0.500
0.375
0.3125
0.625
0.500
0.375
0.3125
0.500
0.375
0.3125
0.250
0.625
0.500
0.375
0.3125
0.250
0.750
0.625
0.500
0.375
0.3125
0.625
0.500
0.375
0.3125
0.250
0.625
0.500
0.375

0.313
0.250
0.188
0.250
0.188
0.250
0.188
Design
Wall
Thickness,
t
in.
0.750
0.625
0.500
0.750
0.625
0.500
0.375
0.313
0.625
0.500
0.375
0.313
0.500
0.375
0.313
0.250
0.625
0.500
0.375
0.313
0.250
0.750
0.625
0.500
0.375
0.313
0.625
0.500
0.375
0.313
0.250
0.625
0.500
0.375

8.45
7.11
5.59
6.26
4.96
5.41
4.32
Nominal
Wt
lb/ft
171.16
144.39
116.91
150.75
127.37
103.30
78.52
65.87
110.36
89.68
68.31
57.36
76.07
58.10
48.86
39.43
93.34
76.07
58.10
48.86
39.43
130.33
110.36
89.68
68.31
57.36
93.34
76.07
58.10
48.86
39.43
76.33
62.46
47.90

HSS16X4X5/16
HSS16X4X1/4
HSS16X4X3/16
HSS14X10X5/8
HSS14X10X1/2
HSS14X10X3/8
HSS14X10X5/16
HSS14X10X1/4
HSS14X6X5/8
HSS14X6X1/2
HSS14X6X3/8
HSS14X6X5/16
HSS14X6X1/4
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
HSS12X3-1/2X3/8
HSS12X3-1/2X5/16
HSS12X3X5/16

16
16
16
14
14
14
14
14
14
14
14
14
14
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

4
4
4
10
10
10
10
10
6
6
6
6
6
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

0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.25
0.1875
0.625
0.500
0.375
0.3125
0.25
0.1875
0.375
0.3125
0.3125

0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.625
0.500
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.625
0.500
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.375
0.313
0.313

40.35
32.63
24.73
93.34
76.07
58.10
48.86
39.43
76.33
62.46
47.90
40.35
32.63
24.73
67.82
55.66
42.79
36.10
29.23
22.18
69.27
53.00
44.60
36.03
76.33
62.46
47.90
40.35
32.63
24.73
67.82
55.66
42.79
36.10
29.23
22.18
59.32
48.85
37.69
31.84
25.82
19.63
36.41
30.78
29.72

HSS12X3X1/4
HSS12X3X3/16
HSS12X2X5/16
HSS12X2X1/4
HSS12X2X3/16
HSS10X8X5/8
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
HSS10X3-1/2X1/2
HSS10X3-1/2X3/8
HSS10X3-1/2X5/16
HSS10X3-1/2X1/4
HSS10X3-1/2X3/16
HSS10X3X3/8
HSS10X3X5/16
HSS10X3X1/4
HSS10X3X3/16
HSS10X2X3/8
HSS10X2X5/16
HSS10X2X1/4
HSS10X2X3/16
HSS9X7X5/8
HSS9X7X1/2
HSS9X7X3/8
HSS9X7X5/16
HSS9X7X1/4

12
12
12
12
12
10
10
10
10
10
10
10
10
10
10
10
10
10
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

3
3
2
2
2
8
8
8
8
8
8
6
6
6
6
6
6
5
5
5
5
4
4
4
4
4
4
3.5
3.5
3.5
3.5
3.5
3
3
3
3
2
2
2
2
7
7
7
7
7

0.250
0.1875
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250

0.250
0.188
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250

24.12
18.35
27.59
22.42
17.08
67.82
55.66
42.79
36.10
29.23
22.18
59.32
48.85
37.69
31.84
25.82
19.63
35.13
29.72
24.12
18.35
50.81
42.05
32.58
27.59
22.42
17.08
40.34
31.31
26.53
21.57
16.44
30.03
25.46
20.72
15.80
27.48
23.34
19.02
14.53
59.32
48.85
37.69
31.84
25.82

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
HSS8X3X1/2
HSS8X3X3/8
HSS8X3X5/16
HSS8X3X1/4
HSS8X3X3/16
HSS8X2X3/8
HSS8X2X5/16
HSS8X2X1/4
HSS8X2X3/16
HSS7X5X1/2
HSS7X5X3/8
HSS7X5X5/16
HSS7X5X1/4
HSS7X5X3/16
HSS7X4X1/2
HSS7X4X3/8
HSS7X4X5/16
HSS7X4X1/4
HSS7X4X3/16
HSS7X3X1/2
HSS7X3X3/8

9
9
9
9
9
9
9
9
9
9
9
9
8
8
8
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
5
5
5
5
5
5
3
3
3
3
3
6
6
6
6
6
6
4
4
4
4
4
4
3
3
3
3
3
2
2
2
2
5
5
5
5
5
4
4
4
4
4
3
3

0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.625
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375

0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.625
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.500
0.375

19.63
50.81
42.05
32.58
27.59
22.42
17.08
35.24
27.48
23.34
19.02
14.53
50.81
42.05
32.58
27.59
22.42
17.08
42.30
35.24
27.48
23.34
19.02
14.53
31.84
24.93
21.21
17.32
13.25
22.37
19.08
15.62
11.97
35.24
27.48
23.34
19.02
14.53
31.84
24.93
21.21
17.32
13.25
28.43
22.37

HSS7X3X5/16
HSS7X3X1/4
HSS7X3X3/16
HSS7X2X1/4
HSS7X23X16
HSS6X5X1/2
HSS6X5X3/8
HSS6X5X5/16
HSS6X5X1/4
HSS6X5X3/16
HSS6X4X1/2
HSS6X4X3/8
HSS6X4X5/16
HSS6X4X1/4
HSS6X4X3/16
HSS6X3X1/2
HSS6X3X3/8
HSS6X3X5/16
HSS6X3X1/4
HSS6X3X3/16
HSS6X2X3/8
HSS6X2X5/16
HSS6X2X1/4
HSS6X2X3/16
HSS5X4X1/2
HSS5X4X3/8
HSS5X4X5/16
HSS5X4X1/4
HSS5X4X3/16
HSS5X3X1/2
HSS5X3X3/8
HSS5X3X5/16
HSS5X3X1/4
HSS5X3X3/16
HSS5X2-1/2X1/4
HSS5X2-1/2X3/16
HSS5X2X3/8
HSS5X2X5/16
HSS5X2X1/4
HSS5X2X3/16
HSS4X3X3/8
HSS4X3X5/16
HSS4X3X1/4
HSS4X3X3/16
HSS4X2-1/2X3/8

7
7
7
7
7
6
6
6
6
6
6
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
4
4
4
4
4

3
3
3
2
2
5
5
5
5
5
4
4
4
4
4
3
3
3
3
3
2
2
2
2
4
4
4
4
4
3
3
3
3
3
2.5
2.5
2
2
2
2
3
3
3
3
2.5

0.3125
0.250
0.1875
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.500
0.375
0.3125
0.250
0.1875
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.375

0.313
0.250
0.188
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.500
0.375
0.313
0.250
0.188
0.250
0.188
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.375

19.08
15.62
11.97
13.91
10.70
31.84
24.93
21.21
17.32
13.25
28.43
22.37
19.08
15.62
11.97
25.03
19.82
16.96
13.91
10.70
17.27
14.83
12.21
9.42
25.03
19.82
16.96
13.91
10.70
21.63
17.27
14.83
12.21
9.42
11.36
8.78
14.72
12.70
10.51
8.15
14.72
12.70
10.51
8.15
13.44

HSS4X2-1/2X5/16
HSS4X2-1/2X1/4
HSS4X2-1/2X3/16
HSS4X2X3/8
HSS4X2X5/16
HSS4X2X1/4
HSS4X2X3/16
HSS3-1/2X2-1/2X3/8
HSS3-1/2X2-1/2X5/16
HSS3-1/2X2-1/2X1/4
HSS3-1/2X2-1/2X3/16
HSS3-1/2X2X1/4
HSS3-1/2X2X3/16
HSS3-1/2X1-1/2X1/4
HSS3-1/2X1-1/2X3/16
HSS3X2-1/2X5/16
HSS3X2-1/2X1/4
HSS3X2-1/2X3/16
HSS3X2X5/16
HSS3X2X1/4
HSS3X2X3/16
HSS3X1-1/2X1/4
HSS3X1-1/2X3/16
HSS3X1X3/16
HSS2-1/2X2X1/4
HSS2-1/2X2X3/16
HSS2-1/2X1-1/2X1/4
HSS2-1/2X1-1/2X3/16
HSS2-1/2X1X3/16
HSS2-1/4X2X3/16
HSS2X1-1/2X3/16
HSS2X1X3/16

Shape
HSS20X0.500
HSS20X0.375
HSS18X0.500
HSS18X0.375
HSS16X0.625
HSS16X0.500
HSS16X0.438
HSS16X0.375
HSS16X0.312

4
4
4
4
4
4
4
3.5
3.5
3.5
3.5
3.5
3.5
3.5
3.5
3
3
3
3
3
3
3
3
3
2.5
2.5
2.5
2.5
2.5
2.25
2
2

2.5
2.5
2.5
2
2
2
2
2.5
2.5
2.5
2.5
2
2
1.5
1.5
2.5
2.5
2.5
2
2
2
1.5
1.5
1
2
2
1.5
1.5
1
2
1.5
1

0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.375
0.3125
0.250
0.1875
0.250
0.1875
0.250
0.1875
0.3125
0.250
0.1875
0.3125
0.250
0.1875
0.250
0.1875
0.1875
0.250
0.1875
0.250
0.1875
0.1875
0.1875
0.1875
0.1875

OD

Shape
ID

tnom

in

in

in

20
20
18
18
16
16
16
16
16

19
19.25
17
17.25
14.75
15
15.124
15.25
15.376

0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.375
0.313
0.250
0.188
0.250
0.188
0.250
0.188
0.313
0.250
0.188
0.313
0.250
0.188
0.250
0.188
0.188
0.250
0.188
0.250
0.188
0.188
0.188
0.188
0.188
Design
Wall
Thickness,
t
in.
0.500
0.375
0.500
0.375
0.625
0.500
0.438
0.375
0.312

11.64
9.66
7.51
12.17
10.58
8.81
6.87
12.17
10.58
8.81
6.87
7.96
6.23
7.11
5.59
9.51
7.96
6.23
8.45
7.11
5.59
6.26
4.96
4.32
6.26
4.96
5.41
4.32
3.68
4.64
3.68
3.04
Nominal
Wt
lb/ft
104.23
78.67
93.54
70.66
102.73
82.85
72.87
62.64
52.32

HSS16X0.250
HSS14X0.625
HSS14X0.500
HSS14X0.375
HSS14X0.312
HSS14X0.250
HSS12.75X0.500
HSS12.75X0.375
HSS12.75X0.250
HSS10.75X0.500
HSS10.75X0.375
HSS10.75X0.250
HSS10X0.625
HSS10X0.500
HSS10X0.375
HSS10X0.312
HSS10X0.250
HSS10X0.188
HSS9.625X0.500
HSS9.625X0.375
HSS9.625X0.312
HSS9.625X0.250
HSS9.625X0.188
HSS8.625X0.625
HSS8.625X0.500
HSS8.625X0.375
HSS8.625X0.322
HSS8.625X0.250
HSS8.625X0.188
HSS7.625X0.375
HSS7.6250.328
HSS7.5X0.500
HSS7.5X0.375
HSS7.5X0.312
HSS7.5X0.250
HSS7.5X0.188
HSS7X0.500
HSS7X0.375
HSS7X0.312
HSS7X0.250
HSS7X0.188
HSS6.875X0.500
HSS6.875X0.375
HSS6.875X0.312
HSS6.875X0.250

16
14
14
14
14
14
12.75
12.75
12.75
10.75
10.75
10.75
10
10
10
10
10
10
9.625
9.625
9.625
9.625
9.625
8.625
8.625
8.625
8.625
8.625
8.625
7.625
7.625
7.5
7.5
7.5
7.5
7.5
7
7
7
7
7
6.875
6.875
6.875
6.875

15.5
12.75
13
13.25
13.376
13.5
11.75
12
12.25
9.75
10
10.25
8.75
9
9.25
9.376
9.5
9.624
8.625
8.875
9.001
9.125
9.249
7.375
7.625
7.875
7.981
8.125
8.249
6.875
6.969
6.5
6.75
6.876
7
7.124
6
6.25
6.376
6.5
6.624
5.875
6.125
6.251
6.375

0.250
0.625
0.500
0.375
0.312
0.250
0.500
0.375
0.250
0.500
0.375
0.250
0.625
0.500
0.375
0.312
0.250
0.188
0.500
0.375
0.312
0.250
0.188
0.625
0.500
0.375
0.322
0.250
0.188
0.375
0.328
0.500
0.375
0.312
0.250
0.188
0.500
0.375
0.312
0.250
0.188
0.500
0.375
0.312
0.250

42.09
89.36
72.16
54.62
45.65
36.75
65.48
49.61
33.41
54.79
41.59
28.06
62.64
50.78
38.58
32.31
26.06
19.72
48.77
37.08
31.06
25.06
18.97
53.45
43.43
33.07
28.58
22.38
16.96
29.06
25.59
37.42
28.56
23.97
19.38
14.70
34.74
26.56
22.31
18.04
13.69
34.07
26.06
21.89
17.71

HSS6.875X0.188
HSS6.625X0.500
HSS6.625X0.432
HSS6.625X0.375
HSS6.625X0.312
HSS6.625X0.280
HSS6.625X0.250
HSS6.625X0.188
HSS6X0.500
HSS6X0.375
HSS6X0.312
HSS6X0.280
HSS6X0.250
HSS6X0.188
HSS5.563X0.500
HSS5.563X0.375
HSS5.563X0.258
HSS5.563X0.188
HSS5.5X0.500
HSS5.5X0.375
HSS5.5X0.258
HSS5X0.500
HSS5X0.375
HSS5X0.312
HSS5X0.258
HSS5X0.250
HSS5X0.188
HSS4.5X0.375
HSS4.5X0.337
HSS4.5X0.237
HSS4.5X0.188
HSS4X0.313
HSS4X0.250
HSS4X0.237
HSS4X0.226
HSS4X0.220
HSS4X0.188
HSS3.5X0.313
HSS3.5X0.300
HSS3.5X0.250
HSS3.5X0.216
HSS3.5X0.203
HSS3.5X0.188
HSS3X0.250
HSS3X0.216

6.875
6.625
6.625
6.625
6.625
6.625
6.625
6.625
6
6
6
6
6
6
5.563
5.563
5.563
5.563
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
3.5
3.5
3.5
3.5
3.5
3.5
3
3

6.499
5.625
5.761
5.875
6.001
6.065
6.125
6.249
5
5.25
5.376
5.44
5.5
5.624
4.563
4.813
5.047
5.187
4.5
4.75
4.984
4
4.25
4.376
4.484
4.5
4.624
3.75
3.826
4.026
4.124
3.374
3.5
3.526
3.548
3.56
3.624
2.874
2.9
3
3.068
3.094
3.124
2.5
2.568

0.188
0.500
0.432
0.375
0.312
0.280
0.250
0.188
0.500
0.375
0.312
0.280
0.250
0.188
0.500
0.375
0.258
0.188
0.500
0.375
0.258
0.500
0.375
0.312
0.258
0.250
0.188
0.375
0.337
0.237
0.188
0.313
0.250
0.237
0.226
0.220
0.188
0.313
0.300
0.250
0.216
0.203
0.188
0.250
0.216

13.44
32.74
28.60
25.06
21.06
18.99
17.04
12.94
29.40
22.55
18.97
17.12
15.37
11.68
27.06
20.80
14.63
10.80
26.73
20.55
14.46
24.05
18.54
15.64
13.08
12.69
9.67
16.54
15.00
10.80
8.67
12.34
10.02
9.53
9.12
8.89
7.66
10.66
10.26
8.69
7.58
7.15
6.66
7.35
6.43

HSS3X0.203
HSS3X0.188
HSS3X0.152
HSS2.875X0.250
HSS2.875X0.203
HSS2.875X0.188
HSS2.5X0.250
HSS2.5X0.188
HSS2.375X0.250
HSS2.375X0.218
HSS2.375X0.188
HSS2.375X0.154
HSS1.9X0.188

3
3
3
2.875
2.875
2.875
2.5
2.5
2.375
2.375
2.375
2.375
1.9

2.594
2.624
2.696
2.375
2.469
2.499
2
2.124
1.875
1.939
1.999
2.067
1.524

0.203
0.188
0.152
0.250
0.203
0.188
0.250
0.188
0.250
0.218
0.188
0.154
0.188

6.07
5.65
4.63
7.02
5.80
5.40
6.01
4.65
5.68
5.03
4.40
3.66
3.44

Area, A
in.2
72.0
62.3
65.0
56.3
47.4
38.4
58.0
50.3
42.4
34.4
51.0
44.3
37.4
30.4
23.1
19.4
44.0
38.3
32.4
26.4
20.1
16.9
32.3
27.4
22.4
17.1
14.4
11.6
8.8
26.3
22.4
18.4
14.1
11.9
9.59
7.29
19.9
16.4
12.6
10.60
8.59
6.54

b/t
22.1
26.3
19.9
23.7
29.0
37.0
17.6
21.0
25.8
33.0
15.3
18.3
22.6
29.0
39.7
48.1
13.0
15.7
19.4
25.0
34.3
41.7
13.0
16.2
21.0
29.0
35.3
45.0
60.8
10.3
13.0
17.0
23.7
28.9
37.0
50.2
11.4
15.0
21.0
25.8
33.0
44.9

h/t
22.1
26.3
19.9
23.7
29.0
37.0
17.6
21.0
25.8
33.0
15.3
18.3
22.6
29.0
39.7
48.1
13.0
15.7
19.4
25.0
34.3
41.7
13.0
16.2
21.0
29.0
35.3
45.0
60.8
10.3
13.0
17.0
23.7
28.9
37.0
50.2
11.4
15.0
21.0
25.8
33.0
44.9

in.4
5280
4630
3900
3430
2940
2410
2780
2460
2110
1740
1900
1690
1450
1200
931
790
1230
1100
952
791
615
523
666
580
486
380
324
265
203
364
321
271
214
184
151
116
227
193
154
132
109
84.0

in.3
480
421
390
343
294
241
309
273
234
193
238
211
181
150
116
98.8
176
157
136
113
87.9
74.7
111
96.7
81.0
63.3
54.0
44.2
33.8
72.8
64.2
54.2
42.8
36.8
30.2
23.2
50.4
42.9
34.2
29.3
24.2
18.7

in.
8.56
8.62
7.75
7.81
7.88
7.92
6.92
6.99
7.05
7.11
6.10
6.18
6.23
6.28
6.35
6.38
5.29
5.36
5.42
5.47
5.53
5.56
4.54
4.60
4.66
4.71
4.74
4.78
4.81
3.72
3.79
3.84
3.90
3.93
3.97
3.99
3.38
3.43
3.50
3.53
3.56
3.58

in.3
565
492
461
403
342
279
368
322
274
224
285
250
214
175
134
114
213
188
161
132
102
86.2
134
116
95.4
73.9
62.6
50.8
38.8
89.4
77.6
64.6
50.4
42.8
34.9
26.7
61.5
51.4
40.3
34.3
28.0
21.5

17.4
14.4
11.10
9.37
7.59
5.78
14.9
12.4
9.58
8.12
6.59
5.03
12.40
10.40
8.08
6.87
5.59
4.28
7.33
6.24
5.09
3.90
8.36
6.58
5.62
4.59
3.53
7.36
5.83
4.99
4.09
3.15
6.36
5.08
4.36
3.59
2.78
4.33
3.74
3.09
2.40
3.58
3.11
2.59
2.02

9.80
13.0
18.3
22.6
29.0
39.6
8.20
11.0
15.7
19.4
25.0
34.2
6.60
9.00
13.0
16.2
21.0
28.9
11.7
14.6
19.0
26.3
7.00
10.3
13.0
17.0
23.6
6.00
9.00
11.4
15.0
20.9
5.00
7.67
9.78
13.0
18.3
6.33
8.18
11.0
15.6
5.00
6.58
9.00
13.0

9.80
13.0
18.3
22.6
29.0
39.6
8.20
11.0
15.7
19.4
25.0
34.2
6.60
9.00
13.0
16.2
21.0
28.9
11.7
14.6
19.0
26.3
7.00
10.3
13.0
17.0
23.6
6.00
9.00
11.4
15.0
20.9
5.00
7.67
9.78
13.0
18.3
6.33
8.18
11.0
15.6
5.00
6.58
9.00
13.0

153
131
106
91.0
75.2
58.4
97.6
84.7
68.7
59.6
49.4
38.6
57.4
50.5
41.6
36.3
30.3
23.8
31.3
27.4
23.0
18.1
27.1
22.8
20.1
16.9
13.4
18.7
16.0
14.2
12.1
9.62
12.3
10.7
9.59
8.22
6.61
6.74
6.11
5.29
4.30
3.89
3.59
3.16
2.61

38.2
32.8
26.5
22.8
18.8
14.6
27.9
24.2
19.6
17.0
14.1
11.0
19.1
16.8
13.9
12.1
10.1
7.93
11.4
10.0
8.36
6.58
10.8
9.12
8.04
6.76
5.36
8.31
7.11
6.31
5.38
4.28
6.15
5.35
4.80
4.11
3.30
3.85
3.49
3.02
2.46
2.59
2.39
2.11
1.74

2.97
3.02
3.09
3.12
3.15
3.18
2.56
2.61
2.68
2.71
2.74
2.77
2.15
2.20
2.27
2.30
2.33
2.36
2.07
2.10
2.13
2.15
1.80
1.86
1.89
1.92
1.95
1.59
1.66
1.69
1.72
1.75
1.39
1.45
1.48
1.51
1.54
1.25
1.28
1.31
1.34
1.04
1.07
1.10
1.14

47.2
39.7
31.3
26.8
21.9
16.9
34.8
29.6
23.5
20.1
16.5
12.8
24.3
20.9
16.8
14.5
11.9
9.26
13.8
12.0
9.91
7.71
13.7
11.2
9.71
8.07
6.31
10.7
8.81
7.69
6.43
5.05
8.02
6.72
5.91
4.97
3.92
4.91
4.36
3.69
2.94
3.38
3.04
2.61
2.10

2.49
2.09
1.65
1.84
1.46
1.59
1.270
Area, A
in.2
50.3
42.4
34.4
44.3
37.4
30.4
23.1
19.4
32.4
26.4
20.1
16.9
22.4
17.1
14.4
11.6
27.4
22.4
17.1
14.4
11.6
38.3
32.4
26.4
20.1
16.9
27.4
22.4
17.1
14.4
11.6
22.4
18.4
14.1

4.99
7.00
10.3
6.00
8.97
5.00
7.64

4.99
7.00
10.3
6.00
8.97
5.00
7.64

1.88
1.69
1.43
1.17
1.00
0.769
0.670

1.50
1.35
1.14
1.04
0.889
0.769
0.670

0.869
0.899
0.931
0.797
0.828
0.695
0.726

1.96
1.71
1.40
1.33
1.10
1.00
0.841

Axis X-X
b/t
13.0
16.2
21.0
13.0
16.2
21.0
29.0
35.3
9.80
13.0
18.3
22.6
5.00
7.67
9.78
13.0
6.60
9.00
13.0
16.2
21.0
13.0
16.2
21.0
29.0
35.3
9.80
13.0
18.3
22.6
29.0
3.40
5.00
7.67

h/t

29.0
35.4
45.0
23.7
29.0
37.0
50.3
60.9
29.0
37.0
50.3
60.9
37.0
50.3
60.9
77.0
25.8
33.0
45.0
54.5
69.0
18.3
22.6
29.0
39.7
48.1
22.6
29.0
39.7
48.1
61.0
22.6
29.0
39.7

in.4
3650
3130
2580
2320
2000
1650
1280
1080
1530
1270
988
840
889
699
597
488
977
818
641
547
447
1340
1160
962
748
636
863
722
565
482
393
568
481
382

in.3
304
261
215
232
200
165
128
108
153
127
98.8
84.0
88.9
69.9
59.7
48.8
109
90.9
71.2
60.8
49.7
168
145
120
93.5
79.5
108
90.2
70.6
60.2
49.1
71.0
60.1
47.8

in.
8.52
8.59
8.66
7.24
7.31
7.37
7.44
7.46
6.87
6.94
7.01
7.05
6.30
6.39
6.44
6.49
5.97
6.04
6.12
6.16
6.21
5.91
5.98
6.04
6.10
6.13
5.61
5.68
5.75
5.79
5.82
5.04
5.11
5.21

in.3
382
325
266
287
245
201
154
130
197
162
125
106
123
95.3
80.9
65.7
144
119
92.2
78.2
63.5
205
175
144
111
93.9
137
113
87.6
74.3
60.3
98.5
82.2
64.2

11.9
9.59
7.29
27.4
22.4
17.1
14.4
11.6
22.4
18.4
14.1
11.9
9.59
7.29
19.9
16.4
12.6
10.6
8.59
6.54
20.4
15.6
13.1
10.6
22.4
18.4
14.1
11.9
9.59
7.29
19.9
16.4
12.6
10.6
8.59
6.54
17.4
14.4
11.1
9.37
7.59
5.8
10.7
9.06
8.75

9.78
13.0
18.3
13.0
17.0
23.7
28.9
37.0
6.60
9.00
13.0
16.2
21.0
28.9
3.40
5.00
7.67
9.78
13.0
18.3
17.0
23.7
28.9
37.0
9.80
13.0
18.3
22.6
29.0
39.6
6.60
9.00
13.0
16.2
21.0
28.9
3.40
5.00
7.67
9.78
13.0
18.3
6.33
8.18
6.58

48.1
61.0
82.1
19.4
25.0
34.3
41.7
53.0
19.4
25.0
34.3
41.7
53.0
71.5
19.4
25.0
34.3
41.7
53.0
71.5
21.0
29.0
35.3
45.0
16.2
21.0
29.0
35.3
45.0
60.8
16.2
21.0
29.0
35.3
45.0
60.8
16.2
21.0
29.0
35.3
45.0
60.8
29.0
35.3
35.3

328
269
208
728
608
476
406
331
504
426
337
289
237
182
392
335
267
230
189
147
419
330
282
230
419
353
279
239
196
151
338
287
228
196
161
125
257
221
178
153
127
98.4
165
143
132

41.0
33.6
26.0
104
86.9
68.0
58.0
47.3
72.0
60.9
48.1
41.3
33.9
26.0
56.0
47.9
38.1
32.9
27.0
21.0
69.8
55.0
47.0
38.3
69.8
58.8
46.5
39.8
32.7
25.2
56.3
47.8
38.0
32.7
26.8
20.8
42.8
36.8
29.7
25.5
21.2
16.4
27.5
23.8
22.0

5.25
5.30
5.34
5.15
5.21
5.28
5.31
5.34
4.74
4.81
4.89
4.93
4.97
5.00
4.44
4.52
4.60
4.66
4.69
4.74
4.53
4.60
4.64
4.66
4.32
4.38
4.45
4.48
4.52
4.55
4.12
4.18
4.25
4.30
4.33
4.37
3.84
3.92
4.00
4.04
4.09
4.12
3.93
3.97
3.88

54.6
44.5
34.1
127
105
81.5
69.1
56.0
94.0
78.3
61.1
51.9
42.3
32.4
77.3
64.8
50.8
43.4
35.4
27.2
83.9
65.2
55.3
44.9
87.1
72.4
56.5
48.0
39.1
29.9
72.9
60.9
47.7
40.7
33.2
25.5
58.6
49.4
39.0
33.4
27.3
21.0
36.8
31.6
29.7

7.09
5.41
8.12
6.59
5.03
19.9
16.4
12.6
10.6
8.59
6.54
17.4
14.4
11.1
9.37
7.59
5.78
10.3
8.75
7.09
5.41
14.9
12.4
9.58
8.12
6.59
5.03
11.9
9.20
7.81
6.34
4.84
8.83
7.49
6.09
4.66
8.08
6.87
5.59
4.28
17.4
14.4
11.1
9.37
7.59

9.00
13.0
3.39
5.00
7.64
9.80
13.0
18.3
22.6
29.0
39.6
6.60
9.00
13.0
16.2
21.0
28.9
10.3
13.0
17.0
23.6
3.40
5.00
7.67
9.78
13.0
18.3
4.00
6.33
8.18
11.0
15.6
5.00
6.58
9.00
13.0
2.33
3.39
5.00
7.64
8.20
11.0
15.7
19.4
25.0

45.0
60.8
35.3
45.0
60.8
13.0
17.0
23.7
28.9
37.0
50.2
13.0
17.0
23.7
28.9
37.0
50.2
23.7
28.9
37.0
50.2
13.0
17.0
23.7
28.9
37.0
50.2
17.0
23.7
28.9
37.0
50.2
23.7
28.9
37.0
50.2
23.7
28.9
37.0
50.2
11.4
15.0
21.0
25.8
33.0

109
85
111
92.2
72.2
266
226
180
154
127
98.1
211
181
145
125
103
80.0
128
110
91.2
70.9
156
136
110
95.6
79.3
61.9
124
102
88.2
73.4
57.4
92.8
80.9
67.4
52.8
75.4
66.2
55.6
43.8
183
157
126
108
89.4

18.2
14.2
18.5
15.4
12.0
53.2
45.2
36.0
30.8
25.4
19.6
42.2
36.2
29.0
25.0
20.6
16.0
25.6
22.0
18.2
14.2
31.2
27.2
22.0
19.1
15.9
12.4
24.8
20.4
17.6
14.7
11.5
18.6
16.2
13.5
10.6
15.1
13.2
11.1
8.8
40.7
34.9
28.0
24.0
19.9

3.92
3.96
3.70
3.74
3.79
3.66
3.71
3.78
3.81
3.85
3.87
3.48
3.55
3.61
3.65
3.68
3.72
3.53
3.55
3.59
3.62
3.24
3.31
3.39
3.43
3.47
3.51
3.23
3.33
3.36
3.40
3.44
3.24
3.29
3.33
3.37
3.05
3.10
3.15
3.20
3.24
3.30
3.37
3.40
3.43

24.4
18.8
26.1
21.4
16.6
65.9
55.1
43.1
36.8
30.0
23.0
54.2
45.6
35.9
30.7
25.1
19.3
32.3
27.7
22.7
17.5
42.5
36.1
28.7
24.6
20.2
15.6
33.7
26.9
23.1
19.0
14.7
25.1
21.6
17.8
13.8
21.5
18.6
15.4
11.9
51.0
42.9
33.8
28.9
23.6

5.78
14.9
12.4
9.58
8.12
6.59
5.03
10.4
8.08
6.87
5.59
4.28
14.9
12.4
9.58
8.12
6.59
5.03
12.4
10.4
8.08
6.87
5.59
4.28
9.36
7.33
6.24
5.09
3.90
6.58
5.62
4.59
3.53
10.4
8.08
6.87
5.59
4.28
9.36
7.33
6.24
5.09
3.90
8.36
6.58

34.2
5.00
7.00
10.3
13.0
17.0
23.6
3.00
5.00
6.58
9.00
13.0
6.60
9.00
13.0
16.2
21.0
28.9
3.40
5.00
7.67
9.78
13.0
18.3
3.00
5.00
6.58
9.00
13.0
2.33
3.39
5.00
7.64
7.00
10.3
13.0
17.0
23.6
5.00
7.67
9.78
13.0
18.3
3.00
5.00

44.9
11.4
15.0
21.0
25.8
33.0
44.9
15.0
21.0
25.8
33.0
44.9
9.80
13.0
18.3
22.6
29.0
39.6
9.80
13.0
18.3
22.6
29.0
39.6
13.0
18.3
22.6
29.0
39.6
18.3
22.6
29.0
39.6
11.0
15.7
19.4
25.0
34.2
11.0
15.7
19.4
25.0
34.2
11.0
15.7

69.4
139
121
97.8
84.7
70.3
54.8
84.5
69.9
61.1
51.1
40.2
119
103
83.7
72.5
60.1
46.9
85.2
75.2
61.9
54.0
45.1
35.4
61.1
51.0
44.8
37.6
29.7
40.1
35.5
30.1
23.9
63.5
52.2
45.5
38.0
29.8
52.9
44.0
38.5
32.3
25.5
42.3
35.7

15.4
30.9
26.9
21.7
18.8
15.6
12.2
18.8
15.5
13.6
11.4
8.93
29.8
25.8
20.9
18.1
15.0
11.7
21.3
18.8
15.5
13.5
11.3
8.85
15.3
12.8
11.2
9.40
7.42
10.0
8.88
7.52
5.98
18.1
14.9
13.0
10.9
8.51
15.1
12.6
11.0
9.23
7.29
12.1
10.2

3.47
3.05
3.12
3.20
3.23
3.27
3.30
2.85
2.94
2.98
3.02
3.06
2.83
2.88
2.96
2.99
3.02
3.05
2.62
2.69
2.77
2.80
2.84
2.88
2.55
2.64
2.68
2.72
2.76
2.47
2.51
2.56
2.60
2.47
2.54
2.57
2.61
2.64
2.38
2.45
2.48
2.52
2.56
2.25
2.33

18.2
40.5
34.4
27.3
23.4
19.3
14.9
25.9
20.9
18.0
14.9
11.6
38.0
32.2
25.6
22.0
18.0
13.9
28.8
24.7
19.9
17.1
14.1
11.0
21.0
17.0
14.7
12.2
9.51
14.2
12.3
10.3
8.04
23.1
18.5
16.0
13.2
10.2
19.8
16.0
13.9
11.5
8.93
16.6
13.5

5.62
4.59
3.53
4.09
3.15
9.36
7.33
6.24
5.09
3.90
8.36
6.58
5.62
4.59
3.53
7.36
5.83
4.99
4.09
3.15
5.08
4.36
3.59
2.78
7.36
5.83
4.99
4.09
3.15
6.36
5.08
4.36
3.59
2.78
3.34
2.59
4.33
3.74
3.09
2.40
4.33
3.74
3.09
2.40
3.95

6.58
9.00
13.0
5.00
7.64
7.00
10.3
13.0
17.0
23.6
5.00
7.67
9.78
13.0
18.3
3.00
5.00
6.58
9.00
13.0
2.33
3.39
5.00
7.64
5.00
7.67
9.78
13.0
18.3
3.00
5.00
6.58
9.00
13.0
7.00
10.3
2.33
3.39
5.00
7.64
5.00
6.58
9.00
13.0
3.67

19.4
25.0
34.2
25.0
34.2
9.00
13.0
16.2
21.0
28.9
9.00
13.0
16.2
21.0
28.9
9.00
13.0
16.2
21.0
28.9
13.0
16.2
21.0
28.9
7.00
10.3
13.0
17.0
23.6
7.00
10.3
13.0
17.0
23.6
17.0
23.6
10.3
13.0
17.0
23.6
7.67
9.78
13.0
18.3
7.67

31.5
26.6
21.1
20.9
16.7
43.0
35.7
31.3
26.2
20.7
35.4
29.7
26.2
22.1
17.5
27.8
23.8
21.1
17.9
14.3
17.8
16.1
13.8
11.1
22.0
18.8
16.6
14.1
11.3
16.9
14.7
13.2
11.3
9.08
9.9
7.99
10.72
9.76
8.48
6.90
8.23
7.46
6.46
5.24
7.00

9.00
7.60
6.03
5.97
4.77
14.3
11.9
10.4
8.73
6.90
11.8
9.9
8.73
7.37
5.83
9.27
7.93
7.03
5.97
4.77
5.93
5.37
4.60
3.70
8.80
7.52
6.64
5.64
4.52
6.76
5.88
5.28
4.52
3.63
3.96
3.20
4.29
3.90
3.39
2.76
4.12
3.73
3.23
2.62
3.50

2.37
2.41
2.44
2.26
2.30
2.14
2.21
2.24
2.27
2.30
2.06
2.12
2.16
2.19
2.23
1.94
2.02
2.06
2.09
2.13
1.87
1.92
1.96
2.00
1.73
1.80
1.82
1.86
1.89
1.63
1.70
1.74
1.77
1.81
1.72
1.76
1.57
1.62
1.66
1.70
1.38
1.41
1.45
1.48
1.33

11.8
9.8
7.65
8.10
6.37
18.1
14.7
12.7
10.5
8.17
15.4
12.5
10.9
9.06
7.07
12.6
10.4
9.12
7.62
5.98
8.33
7.34
6.18
4.89
11.5
9.44
8.25
6.89
5.40
9.20
7.71
6.78
5.70
4.50
5.11
4.05
5.98
5.31
4.51
3.59
5.36
4.75
4.03
3.21
4.68

3.42
2.84
2.21
3.58
3.11
2.59
2.02
3.58
3.11
2.59
2.02
2.34
1.84
2.09
1.65
2.80
2.34
1.84
2.49
2.09
1.65
1.84
1.46
1.27
1.84
1.46
1.59
1.27
1.08
1.37
1.08
0.896
Area, A
in.2
30.6
23.1
27.5
20.8
30.2
24.3
21.4
18.4
15.4

4.99
7.00
10.3
2.33
3.39
5.00
7.64
3.67
4.99
7.00
10.3
5.00
7.64
3.00
4.98
4.99
7.00
10.3
3.39
5.00
7.64
3.00
4.98
2.32
5.00
7.64
3.00
4.98
2.32
7.64
4.98
2.32

D/t
40.0
53.3
36.0
48.0
25.6
32.0
36.5
42.7
51.3

9.8
13.0
18.3
7.67
9.78
13.0
18.3
6.33
8.18
11.0
15.6
11.0
15.6
11.0
15.6
6.58
9.00
13.0
6.58
9.00
13.0
9.00
13.0
13.0
7.00
10.3
7.00
10.3
10.3
8.97
7.64
7.64

6.39
5.58
4.56
5.76
5.33
4.70
3.88
4.90
4.51
3.97
3.27
3.31
2.75
2.65
2.24
3.02
2.68
2.23
2.45
2.21
1.86
1.74
1.49
1.12
1.38
1.17
1.06
0.923
0.671
0.901
0.515
0.360

3.20
2.79
2.28
2.88
2.66
2.35
1.94
2.80
2.58
2.27
1.87
1.89
1.57
1.51
1.28
2.01
1.79
1.49
1.63
1.47
1.24
1.16
0.993
0.747
1.10
0.936
0.848
0.738
0.537
0.801
0.515
0.360

1.37
1.40
1.44
1.27
1.31
1.35
1.39
1.17
1.20
1.24
1.27
1.19
1.22
1.13
1.17
1.04
1.07
1.10
0.992
1.03
1.06
0.972
1.01
0.939
0.866
0.895
0.816
0.853
0.788
0.811
0.691
0.634

4.18
3.56
2.85
4.00
3.60
3.09
2.49
3.74
3.36
2.88
2.32
2.48
2.01
2.07
1.70
2.62
2.27
1.84
2.20
1.92
1.57
1.58
1.31
1.04
1.43
1.18
1.15
0.965
0.748
1.01
0.671
0.501

in.4
1460
1110
1050
807
894
732
649
562
473

in.3
146
111
117
89.6
112
91.5
81.1
70.3
59.2

in.
6.90
6.94
6.19
6.23
5.44
5.48
5.50
5.53
5.55

in.3
190
144
153
117
148
120
106
91.6
76.8

12.4
26.3
21.2
16.1
13.4
10.8
19.2
14.6
9.82
16.1
12.2
8.25
18.4
14.9
11.3
9.5
7.66
5.8
14.3
10.9
9.13
7.36
5.57
15.7
12.8
9.72
8.4
6.58
4.98
8.54
7.52
11
8.39
7.05
5.69
4.32
10.2
7.8
6.56
5.3
4.02
10
7.66
6.43
5.2

64.0
22.4
28.0
37.3
44.9
56.0
25.5
34.0
51.0
21.5
28.7
43.0
16.0
20.0
26.7
32.1
40.0
53.2
19.2
25.7
30.8
38.5
51.2
13.8
17.2
23.0
26.8
34.5
45.9
20.3
23.2
15.0
20.0
24.0
30.0
39.9
14.0
18.7
22.4
28.0
37.2
13.8
18.3
22.0
27.5

384
589
484
373
314
255
362
279
192
212
165
114
203
169
132
112
91.1
69.8
150
117
99.1
81.0
62.1
126
106
82.9
72.5
57.7
44.4
56.3
50.1
67.7
53.4
45.6
37.5
28.9
54.2
43.0
36.7
30.2
23.4
51.2
40.6
34.7
28.6

48.0
84.1
69.1
53.3
44.9
36.5
56.7
43.8
30.1
39.4
30.6
21.2
40.6
33.8
26.3
22.3
18.2
14.0
31.1
24.3
20.6
16.8
12.9
29.3
24.5
19.2
16.8
13.4
10.3
14.8
13.2
18.1
14.2
12.2
9.99
7.70
15.5
12.3
10.5
8.64
6.67
14.9
11.8
10.1
8.32

5.57
4.73
4.78
4.82
4.84
4.86
4.33
4.38
4.42
3.63
3.67
3.71
3.32
3.36
3.41
3.43
3.45
3.47
3.23
3.27
3.29
3.32
3.34
2.84
2.88
2.92
2.94
2.96
2.98
2.57
2.58
2.48
2.52
2.54
2.56
2.59
2.30
2.35
2.37
2.39
2.41
2.26
2.30
2.32
2.34

62
112
91.2
69.6
58.5
47.3
75.1
57.4
39.1
52.6
40.4
27.6
55
45.2
34.8
29.3
23.8
18.1
41.7
32.1
27.1
22
16.7
40.1
33
25.5
22.2
17.5
13.4
19.7
17.5
24.5
19.1
16.1
13.1
10.1
21.2
16.5
14
11.4
8.73
20.4
15.9
13.4
11

3.95
9.62
8.4
7.36
6.19
5.58
5.01
3.8
8.64
6.63
5.58
5.03
4.52
3.43
7.95
6.11
4.3
3.17
7.85
6.04
4.25
7.07
5.45
4.6
3.84
3.73
2.84
4.86
4.41
3.17
2.55
3.63
2.95
2.8
2.68
2.61
2.25
3.13
3.02
2.55
2.23
2.1
1.96
2.16
1.89

36.6
13.2
15.3
17.7
21.2
23.7
26.5
35.2
12.0
16.0
19.2
21.4
24.0
31.9
11.1
14.8
21.6
29.6
11.0
14.7
21.3
10.0
13.3
16.0
19.4
20.0
26.6
12.0
13.4
19.0
23.9
12.8
16.0
16.9
17.7
18.2
21.3
11.2
11.7
14.0
16.2
17.2
18.6
12.0
13.9

22.1
45.4
40.5
36.1
30.9
28.1
25.5
19.7
32.9
26.3
22.6
20.6
18.7
14.5
25.7
20.7
15.2
11.5
24.8
19.9
14.6
18.1
14.7
12.7
10.8
10.6
8.24
10.4
9.61
7.23
5.93
6.21
5.20
4.98
4.79
4.68
4.10
4.02
3.89
3.39
3.02
2.87
2.69
2.06
1.84

6.43
13.7
12.2
10.9
9.33
8.50
7.69
5.95
11.0
8.78
7.54
6.88
6.23
4.84
9.25
7.43
5.45
4.13
9.01
7.25
5.32
7.25
5.87
5.07
4.33
4.22
3.30
4.63
4.27
3.21
2.64
3.10
2.60
2.49
2.39
2.34
2.05
2.30
2.23
1.94
1.72
1.64
1.54
1.37
1.23

2.37
2.17
2.19
2.21
2.23
2.25
2.26
2.28
1.95
1.99
2.01
2.02
2.03
2.06
1.80
1.84
1.88
1.90
1.78
1.82
1.86
1.60
1.64
1.66
1.68
1.68
1.70
1.46
1.48
1.51
1.53
1.31
1.33
1.33
1.34
1.34
1.35
1.13
1.14
1.15
1.16
1.17
1.17
0.976
0.987

8.41
18.8
16.6
14.7
12.4
11.3
10.2
7.79
15.2
11.9
10.1
9.17
8.27
6.35
12.9
10.1
7.27
5.43
12.5
9.87
7.1
10.2
8.04
6.87
5.81
5.65
4.36
6.4
5.85
4.31
3.5
4.27
3.52
3.36
3.22
3.15
2.73
3.19
3.08
2.65
2.33
2.21
2.06
1.9
1.68

1.78
1.66
1.36
2.06
1.7
1.59
1.77
1.37
1.67
1.48
1.29
1.07
1.01

14.8
16.0
19.7
11.5
14.2
15.3
10.0
13.3
9.50
10.9
12.6
15.4
10.1

1.75
1.65
1.38
1.79
1.53
1.44
1.13
0.918
0.955
0.868
0.778
0.666
0.375

1.17
1.10
0.922
1.25
1.06
1.00
0.906
0.735
0.804
0.731
0.655
0.561
0.395

0.991
1.00
1.01
0.932
0.947
0.952
0.800
0.820
0.756
0.766
0.776
0.787
0.609

1.59
1.49
1.23
1.73
1.45
1.36
1.27
1.01
1.13
1.02
0.901
0.761
0.553

in.4
5280
4630
3900
3430
2940
2410
2780
2460
2110
1740
1900
1690
1450
1200
931
790
1230
1100
952
791
615
523
666
580
486
380
324
265
203
364
321
271
214
184
151
116
227
193
154
132
109
84.0

in.3
480
421
390
343
294
241
309
273
234
193
238
211
181
150
116
98.8
176
157
136
113
87.9
74.7
111
96.7
81.0
63.3
54.0
44.2
33.8
72.8
64.2
54.2
42.8
36.8
30.2
23.2
50.4
42.9
34.2
29.3
24.2
18.7

in.
8.56
8.62
7.75
7.81
7.88
7.92
6.92
6.99
7.05
7.11
6.10
6.18
6.23
6.28
6.35
6.38
5.29
5.36
5.42
5.47
5.53
5.56
4.54
4.60
4.66
4.71
4.74
4.78
4.81
3.72
3.79
3.84
3.90
3.93
3.97
3.99
3.38
3.43
3.50
3.53
3.56
3.58

in.3
565
492
461
403
342
279
368
322
274
224
285
250
214
175
134
114
213
188
161
132
102
86.2
134
116
95.4
73.9
62.6
50.8
38.8
89.4
77.6
64.6
50.4
42.8
34.9
26.7
61.5
51.4
40.3
34.3
28.0
21.5

Torsion
J

Surface
Area

in.4
8420
7330
6260
5460
4620
3760
4500
3930
3340
2720
3100
2720
2320
1890
1450
1220
2030
1790
1530
1250
960
810
1100
943
777
599
507
410
313
610
529
439
341
289
235
180
377
315
246
209
170
130

in.3
778
676
638
554
468
380
511
445
376
306
398
347
295
240
183
154
299
262
223
182
139
117
188
161
132
101
85.4
69.0
52.4
127
109
89.8
69.3
58.6
47.5
36.2
86.7
71.8
55.6
47.1
38.2
29.2

ft2/ft
7.08
7.12
6.42
6.45
6.49
6.52
5.75
5.79
5.82
5.86
5.08
5.12
5.15
5.19
5.23
5.24
4.42
4.45
4.49
4.52
4.56
4.58
3.79
3.82
3.86
3.89
3.91
3.93
3.95
3.12
3.15
3.19
3.23
3.24
3.26
3.28
2.82
2.86
2.89
2.91
2.93
2.95

153
131
106
91.0
75.2
58.4
97.6
84.7
68.7
59.6
49.4
38.6
57.4
50.5
41.6
36.3
30.3
23.8
31.3
27.4
23.0
18.1
27.1
22.8
20.1
16.9
13.4
18.7
16.0
14.2
12.1
9.62
12.3
10.7
9.59
8.22
6.61
6.74
6.11
5.29
4.30
3.89
3.59
3.16
2.61

38.2
32.8
26.5
22.8
18.8
14.6
27.9
24.2
19.6
17.0
14.1
11.0
19.1
16.8
13.9
12.1
10.1
7.93
11.4
10.0
8.36
6.58
10.8
9.12
8.04
6.76
5.36
8.31
7.11
6.31
5.38
4.28
6.15
5.35
4.80
4.11
3.30
3.85
3.49
3.02
2.46
2.59
2.39
2.11
1.74

2.97
3.02
3.09
3.12
3.15
3.18
2.56
2.61
2.68
2.71
2.74
2.77
2.15
2.20
2.27
2.30
2.33
2.36
2.07
2.10
2.13
2.15
1.80
1.86
1.89
1.92
1.95
1.59
1.66
1.69
1.72
1.75
1.39
1.45
1.48
1.51
1.54
1.25
1.28
1.31
1.34
1.04
1.07
1.10
1.14

47.2
39.7
31.3
26.8
21.9
16.9
34.8
29.6
23.5
20.1
16.5
12.8
24.3
20.9
16.8
14.5
11.9
9.26
13.8
12.0
9.91
7.71
13.7
11.2
9.71
8.07
6.31
10.7
8.81
7.69
6.43
5.05
8.02
6.72
5.91
4.97
3.92
4.91
4.36
3.69
2.94
3.38
3.04
2.61
2.10

258
217
170
145
118
90.8
166
141
112
95.7
78.3
60.3
99.5
85.6
68.5
59.0
48.5
37.5
51.9
44.8
37.0
28.7
46.8
38.2
33.1
27.4
21.4
32.7
27.1
23.6
19.7
15.4
21.8
18.4
16.1
13.5
10.7
11.7
10.4
8.82
7.00
6.89
6.22
5.35
4.29

67.0
55.8
43.4
36.9
30.0
22.9
49.9
41.8
32.7
27.9
22.7
17.4
35.2
29.8
23.5
20.1
16.5
12.7
19.5
16.7
13.7
10.6
19.8
15.8
13.6
11.2
8.68
15.5
12.6
10.9
8.97
6.97
11.8
9.65
8.39
6.97
5.44
7.12
6.24
5.22
4.10
4.96
4.40
3.72
2.95

2.49
2.52
2.56
2.58
2.60
2.61
2.15
2.19
2.23
2.24
2.26
2.28
1.82
1.86
1.89
1.91
1.93
1.95
1.73
1.74
1.76
1.78
1.52
1.56
1.58
1.60
1.61
1.36
1.39
1.41
1.43
1.45
1.19
1.23
1.24
1.26
1.28
1.06
1.08
1.10
1.11
0.893
0.910
0.928
0.946

1.88
1.69
1.43
1.17
1.00
0.769
0.670

1.50
1.35
1.14
1.04
0.889
0.769
0.670

0.869
0.899
0.931
0.797
0.828
0.695
0.726

1.96
1.71
1.40
1.33
1.10
1.00
0.841

3.33
2.92
2.39
2.05
1.70
1.36
1.15

Axis Y-Y

2.88
2.47
1.98
1.94
1.57
1.47
1.21

0.744
0.762
0.780
0.678
0.696
0.595
0.613

Torsion

Surface
Area

in.4
1240
1070
883
1050
904
750
583
495
358
300
236
202
61.6
50.3
43.7
36.4
166
142
113
97.1
80.0
856
742
618
482
410
290
244
193
165
135
56.4
49.3
40.4

in.3
207
178
147
175
151
125
97.2
82.5
89.5
75.0
59.0
50.5
30.8
25.2
21.8
18.2
55.3
47.3
37.7
32.4
26.7
143
124
103
80.3
68.3
72.5
61.0
48.2
41.2
33.8
28.2
24.6
20.2

in.
4.97
5.02
5.07
4.87
4.92
4.97
5.02
5.05
3.32
3.37
3.43
3.46
1.66
1.72
1.74
1.77
2.46
2.52
2.57
2.60
2.63
4.73
4.79
4.84
4.90
4.93
3.25
3.30
3.36
3.39
3.41
1.59
1.64
1.69

in.3
235
201
164
202
172
141
109
91.9
103
84.7
65.6
55.6
36.0
28.5
24.4
20.0
64.6
53.9
42.1
35.8
29.2
168
144
118
91.3
77.3
84.1
69.7
54.2
46.0
37.4
34.2
29.0
23.0

in.4
3030
2590
2120
2360
2010
1650
1270
1070
973
806
625
530
205
165
143
118
489
410
322
275
224
1710
1460
1200
922
779
723
599
465
395
321
182
157
127

in.3
391
331
270
323
275
224
171
144
178
146
112
94.6
67.8
53.2
45.3
37.0
116
95.8
74.2
62.8
51.0
256
218
178
136
115
141
116
89.2
75.4
61.0
63.9
53.8
42.3

ft2/ft
5.79
5.82
5.86
5.12
5.15
5.19
5.23
5.24
4.49
4.52
4.56
4.58
3.86
3.89
3.91
3.93
3.82
3.86
3.89
3.91
3.93
4.45
4.49
4.52
4.56
4.58
3.82
3.86
3.89
3.91
3.93
3.15
3.19
3.23

35.2
29.3
23.0
431
361
284
242
198
130
111
89.1
76.9
63.4
49.2
49.2
43.1
35.4
30.9
25.8
20.3
316
249
213
174
221
188
149
128
105
81.3
112
96.0
77.3
66.7
55.2
42.9
42.0
37.0
30.5
26.7
22.3
17.5
22.4
19.7
13.8

17.6
14.6
11.5
86.2
72.2
56.8
48.4
39.6
43.3
37.0
29.7
25.6
21.1
16.4
24.6
21.6
17.7
15.4
12.9
10.2
63.2
49.8
42.6
34.8
55.2
47.0
37.2
32.0
26.2
20.3
37.3
32.0
25.8
22.2
18.4
14.3
21.0
18.5
15.2
13.4
11.2
8.75
12.8
11.3
9.20

1.72
1.75
1.78
3.97
4.01
4.08
4.10
4.13
2.41
2.46
2.51
2.54
2.57
2.60
1.57
1.62
1.68
1.71
1.73
1.76
3.94
4.00
4.03
4.05
3.14
3.20
3.25
3.28
3.31
3.34
2.37
2.42
2.48
2.51
2.53
2.56
1.55
1.60
1.66
1.69
1.71
1.74
1.45
1.47
1.26

19.8
16.2
12.5
101
83.6
64.8
55.0
44.6
51.2
42.9
33.6
28.7
23.4
18.0
30.0
25.5
20.3
17.4
14.3
11.1
74.1
57.6
48.9
39.7
65.6
54.7
42.7
36.4
29.6
22.7
44.5
37.4
29.4
25.1
20.6
15.8
25.8
22.0
17.6
15.1
12.5
9.66
14.9
12.8
10.6

110
90.6
70.3
885
730
564
478
387
352
296
233
199
162
125
154
134
108
93.2
77.0
59.8
581
450
381
309
481
401
312
265
216
165
286
241
190
162
132
102
127
110
89.0
77.0
63.6
49.4
68.3
59.4
43.7

36.1
29.5
22.6
156
128
98.2
82.9
67.0
88.9
73.8
57.3
48.6
39.5
30.2
55.5
46.8
36.8
31.5
25.7
19.8
109
83.7
70.8
57.2
104
85.8
66.3
56.1
45.5
34.7
75.5
62.8
48.8
41.5
33.7
25.8
47.0
39.8
31.4
26.9
22.0
16.9
27.0
23.2
19.5

3.24
3.26
3.28
3.82
3.86
3.89
3.91
3.93
3.15
3.19
3.23
3.24
3.26
3.28
2.82
2.86
2.89
2.91
2.93
2.95
3.52
3.56
3.58
3.60
3.15
3.19
3.23
3.24
3.26
3.28
2.82
2.86
2.89
2.91
2.93
2.95
2.49
2.52
2.56
2.58
2.60
2.61
2.48
2.49
2.41

11.7
9.30
5.33
4.62
3.77
187
160
127
110
90.2
69.8
93.6
80.9
65.4
56.6
46.9
36.5
42.9
37.3
31.1
24.3
34.8
30.8
25.5
22.4
18.8
14.8
22.3
18.7
16.5
13.9
11.0
13.0
11.5
9.79
7.82
4.87
4.43
3.85
3.15
123
106
85.2
73.6
60.8

7.80
6.20
5.33
4.62
3.77
46.8
40.0
31.8
27.5
22.6
17.4
31.2
27.0
21.8
18.9
15.6
12.2
17.2
14.9
12.4
9.72
17.4
15.4
12.8
11.2
9.40
7.40
12.7
10.7
9.43
7.94
6.29
8.67
7.67
6.53
5.21
4.87
4.43
3.85
3.15
35.1
30.3
24.3
21.0
17.4

1.28
1.31
0.810
0.837
0.866
3.07
3.12
3.17
3.22
3.24
3.27
2.32
2.37
2.43
2.46
2.49
2.51
2.04
2.06
2.09
2.12
1.53
1.58
1.63
1.66
1.69
1.72
1.37
1.43
1.45
1.48
1.51
1.21
1.24
1.27
1.30
0.776
0.803
0.830
0.858
2.66
2.71
2.77
2.80
2.83

8.80
6.86
6.39
5.38
4.25
56.4
47.2
37.0
31.6
25.8
19.8
37.7
31.9
25.2
21.6
17.7
13.6
19.9
17.0
14.0
10.8
21.6
18.5
14.9
12.8
10.6
8.22
15.5
12.5
10.8
8.98
6.99
10.3
8.93
7.42
5.80
6.05
5.34
4.50
3.57
42.8
36.1
28.4
24.3
19.9

36.5
28.7
18.4
15.9
12.8
367
306
239
203
166
127
221
187
147
126
103
79.3
107
91.6
75.2
58.1
100
86.9
70.4
60.9
50.4
39.2
66.2
54.3
47.3
39.3
30.7
39.8
34.9
29.3
23.0
16.5
14.9
12.8
10.4
248
209
164
140
114

16.1
12.5
12.2
10.2
8.02
85.5
70.8
54.8
46.5
37.7
28.8
62.0
51.8
40.4
34.4
28.0
21.4
33.2
28.3
23.1
17.7
38.6
32.8
26.0
22.2
18.2
14.0
28.0
22.4
19.2
15.8
12.2
18.7
16.2
13.3
10.3
11.5
10.1
8.47
6.66
65.8
54.8
42.7
36.2
29.5

2.43
2.45
2.24
2.26
2.28
2.82
2.86
2.89
2.91
2.93
2.95
2.49
2.52
2.56
2.58
2.60
2.61
2.39
2.41
2.43
2.45
2.15
2.19
2.23
2.24
2.26
2.28
2.11
2.14
2.16
2.18
2.20
2.06
2.08
2.10
2.11
1.89
1.91
1.93
1.95
2.49
2.52
2.56
2.58
2.60

47.3
54.1
47.4
38.9
33.9
28.2
22.1
13.7
11.7
10.4
8.85
7.07
75.5
65.7
53.5
46.5
38.6
30.2
27.6
24.6
20.6
18.1
15.3
12.1
12.1
10.4
9.26
7.90
6.33
3.86
3.53
3.08
2.53
37.3
30.8
27.0
22.6
17.8
21.6
18.1
16.0
13.5
10.7
10.5
9.10

13.5
21.6
19.0
15.6
13.6
11.3
8.84
9.13
7.80
6.93
5.90
4.71
25.2
21.9
17.8
15.5
12.9
10.1
13.8
12.3
10.3
9.05
7.65
6.05
8.07
6.93
6.17
5.27
4.22
3.86
3.53
3.08
2.53
14.9
12.3
10.8
9.04
7.12
10.8
9.05
8.00
6.75
5.35
7.00
6.07

2.86
1.91
1.96
2.02
2.04
2.07
2.10
1.15
1.20
1.23
1.26
1.29
2.25
2.30
2.36
2.39
2.42
2.45
1.49
1.54
1.60
1.62
1.65
1.68
1.14
1.19
1.22
1.25
1.27
0.766
0.793
0.819
0.847
1.89
1.95
1.98
2.01
2.04
1.52
1.57
1.60
1.63
1.66
1.12
1.18

15.3
26.6
22.7
18.1
15.6
12.8
9.93
11.3
9.29
8.09
6.73
5.27
31.0
26.4
21.0
18.0
14.8
11.4
17.3
15.0
12.2
10.5
8.72
6.79
10.1
8.31
7.25
6.05
4.74
4.83
4.28
3.63
2.89
18.2
14.6
12.6
10.4
8.12
13.3
10.8
9.37
7.78
6.07
8.84
7.32

87.9
135
115
92.2
79.3
65.2
50.4
41.6
34.9
30.6
25.6
20.2
158
135
107
91.4
74.9
57.7
73.2
64.1
52.2
45.2
37.5
29.2
35.7
29.9
26.3
22.1
17.4
12.6
11.4
9.84
7.95
79.9
64.2
55.4
45.6
35.3
53.0
43.3
37.6
31.2
24.3
29.8
25.1

22.5
44.9
37.8
29.7
25.4
20.7
15.9
20.8
16.8
14.5
12.0
9.29
48.6
40.8
32.0
27.2
22.2
17.0
30.2
25.8
20.5
17.6
14.5
11.2
18.3
14.8
12.8
10.6
8.23
9.09
8.00
6.72
5.30
28.8
22.8
19.5
16.0
12.3
22.3
17.8
15.3
12.6
9.74
15.8
12.8

2.61
2.15
2.19
2.23
2.24
2.26
2.28
1.86
1.89
1.91
1.93
1.95
2.15
2.19
2.23
2.24
2.26
2.28
1.82
1.86
1.89
1.91
1.93
1.95
1.69
1.73
1.74
1.76
1.78
1.56
1.58
1.60
1.61
1.86
1.89
1.91
1.93
1.95
1.69
1.73
1.74
1.76
1.78
1.52
1.56

8.13
6.95
5.58
2.70
2.22
32.2
26.8
23.5
19.8
15.6
18.5
15.7
13.9
11.7
9.34
8.96
7.80
6.99
6.00
4.84
2.85
2.62
2.31
1.91
15.4
13.2
11.7
10.0
7.98
7.37
6.50
5.86
5.05
4.09
3.28
2.69
2.35
2.17
1.93
1.60
5.19
4.72
4.11
3.35
3.27

5.42
4.63
3.72
2.70
2.22
12.9
10.7
9.40
7.92
6.24
9.25
7.85
6.95
5.85
4.67
5.97
5.20
4.66
4.00
3.23
2.85
2.62
2.31
1.91
7.70
6.60
5.85
5.00
3.99
4.91
4.33
3.91
3.37
2.73
2.62
2.15
2.35
2.17
1.93
1.60
3.46
3.15
2.74
2.23
2.62

1.20
1.23
1.26
0.812
0.840
1.85
1.91
1.94
1.97
2.00
1.49
1.54
1.57
1.60
1.63
1.10
1.16
1.18
1.21
1.24
0.749
0.775
0.802
0.829
1.45
1.50
1.53
1.56
1.59
1.08
1.13
1.16
1.19
1.21
0.991
1.02
0.737
0.762
0.790
0.816
1.09
1.12
1.15
1.18
0.910

6.41
5.36
4.21
3.19
2.54
16.0
12.9
11.2
9.26
7.21
11.5
9.44
8.22
6.84
5.36
7.59
6.34
5.56
4.67
3.69
3.61
3.23
2.75
2.20
9.77
8.08
7.06
5.90
4.64
6.34
5.35
4.72
3.98
3.16
3.12
2.49
3.00
2.70
2.32
1.86
4.37
3.88
3.30
2.63
3.33

22.1
18.5
14.6
8.36
6.76
62.9
50.9
44.0
36.3
28.2
42.1
34.6
30.1
25.0
19.6
23.9
20.3
17.9
15.1
11.9
8.72
7.94
6.88
5.58
31.7
26.3
22.9
19.1
15.0
18.2
15.6
13.8
11.7
9.23
8.36
6.68
6.82
6.24
5.43
4.41
11.1
9.90
8.41
6.68
7.86

11.1
9.22
7.18
5.85
4.62
24.3
19.3
16.6
13.6
10.5
18.8
15.1
13.0
10.7
8.30
13.3
10.9
9.45
7.85
6.12
6.65
5.89
4.97
3.93
15.3
12.4
10.7
8.85
6.87
10.8
8.90
7.77
6.47
5.06
5.28
4.16
5.43
4.83
4.10
3.25
6.93
6.08
5.10
4.00
5.57

1.58
1.60
1.61
1.43
1.45
1.69
1.73
1.74
1.76
1.78
1.52
1.56
1.58
1.60
1.61
1.36
1.39
1.41
1.43
1.45
1.23
1.24
1.26
1.28
1.36
1.39
1.41
1.43
1.45
1.19
1.23
1.24
1.26
1.28
1.18
1.20
1.06
1.08
1.10
1.11
1.06
1.08
1.10
1.11
0.976

3.01
2.65
2.18
1.84
1.72
1.54
1.29
2.84
2.63
2.33
1.93
1.35
1.13
0.659
0.569
2.26
2.01
1.68
1.27
1.15
0.980
0.560
0.488
0.178
0.962
0.825
0.461
0.407
0.147
0.748
0.325
0.115

2.41
2.12
1.74
1.84
1.72
1.54
1.29
2.27
2.10
1.86
1.54
1.35
1.13
0.879
0.759
1.81
1.61
1.34
1.27
1.15
0.980
0.747
0.651
0.356
0.962
0.825
0.615
0.543
0.294
0.748
0.433
0.230

0.938
0.966
0.993
0.717
0.744
0.771
0.799
0.891
0.920
0.948
0.977
0.760
0.784
0.562
0.587
0.898
0.927
0.956
0.714
0.742
0.771
0.552
0.578
0.374
0.723
0.752
0.538
0.566
0.369
0.739
0.549
0.358

2.99
2.56
2.05
2.39
2.17
1.88
1.52
2.94
2.64
2.28
1.83
1.66
1.35
1.11
0.917
2.30
1.99
1.62
1.64
1.44
1.18
0.949
0.794
0.452
1.22
1.01
0.793
0.670
0.376
0.927
0.547
0.300

7.09
6.09
4.89
4.97
4.58
4.01
3.27
6.38
5.79
4.99
4.02
3.31
2.71
1.86
1.57
4.53
3.93
3.19
2.97
2.63
2.17
1.50
1.27
0.546
1.98
1.64
1.14
0.977
0.427
1.39
0.696
0.311

4.93
4.16
3.29
4.21
3.78
3.22
2.57
4.78
4.24
3.60
2.85
2.78
2.23
1.97
1.61
3.56
3.03
2.42
2.72
2.35
1.89
1.66
1.36
0.833
1.91
1.55
1.35
1.11
0.680
1.38
0.868
0.528

Torsion
J

in.4
2910
2230
2110
1610
1790
1460
1300
1120
946

in.3
291
223
234
179
223
183
162
140
118

0.994
1.01
1.03
0.893
0.910
0.928
0.946
0.893
0.910
0.928
0.946
0.845
0.863
0.762
0.780
0.827
0.845
0.863
0.744
0.762
0.780
0.678
0.696
0.613
0.678
0.696
0.595
0.613
0.530
0.655
0.530
0.446

767
1180
968
746
629
511
723
559
384
424
329
227
406
338
263
223
182
140
299
233
198
162
124
253
211
166
145
115
88.7
113
100
135
107
91.2
74.9
57.8
108
85.9
73.5
60.5
46.7
102
81.2
69.4
57.2

95.9
168
138
106
89.7
72.9
113
87.5
60.1
78.5
61.1
42.3
80.6
67.2
52.5
44.5
36.4
27.9
61.9
48.4
41.1
33.6
25.8
58.0
48.7
38.3
33.5
26.7
20.6
29.4
26.2
35.8
28.4
24.2
19.9
15.4
30.7
24.4
20.9
17.2
13.3
29.5
23.5
20.1
16.6

44.2
90.8
81.0
72.2
61.8
56.3
50.9
39.4
65.9
52.7
45.2
41.3
37.4
29.0
51.5
41.3
30.3
23.0
49.6
39.9
29.3
36.2
29.3
25.4
21.7
21.1
16.5
20.8
19.2
14.5
11.9
12.4
10.4
10.0
9.58
9.36
8.20
8.03
7.79
6.78
6.03
5.74
5.38
4.12
3.68

12.8
27.1
24.2
21.6
18.6
16.9
15.3
11.9
21.6
17.4
15.0
13.7
12.4
9.66
18.2
14.7
10.9
8.24
17.7
14.4
10.6
14.2
11.6
10.1
8.62
8.40
6.57
9.13
8.45
6.39
5.25
6.13
5.16
4.94
4.76
4.65
4.08
4.52
4.38
3.83
3.42
3.26
3.06
2.71
2.43

3.51
3.30
2.77
3.58
3.06
2.88
2.26
1.84
1.91
1.74
1.56
1.33
0.750

2.32
2.18
1.83
2.45
2.11
1.99
1.77
1.45
1.57
1.44
1.29
1.11
0.773

AISC_Manual_Label

W44X335
W44X290
W44X262
W44X230
W40X593
W40X503
W40X431
W40X397
W40X372
W40X362
W40X324
W40X297
W40X277
W40X249
W40X215
W40X199
W40X392
W40X331
W40X327
W40X294
W40X278
W40X264
W40X235
W40X211
W40X183
W40X167
W40X149
W36X652
W36X529
W36X487

W36X441
W36X395
W36X361
W36X330
W36X302
W36X282
W36X262
W36X247
W36X231
W36X256
W36X232
W36X210
W36X194
W36X182

T_F
F
F
F
F
T
T
T
T
T
T
F
F
F
F
F
F
T
T
T
F
F
F
F
F
F
F
F
T
T
T
T
T
T
F
F
F
F
F
F
F
F
F
F
F

335
290
262
230
593
503
431
397
372
362
324
297
277
249
215
199
392
331
327
294
278
264
235
211
183
167
149
652
529
487
441
395
361
330
302
282
262
247
231
256
232
210
194
182

98.5
85.4
77.2
67.8
174
148
127
117
110
106
95.3
87.3
81.5
73.5
63.5
58.8
116
97.7
95.9
86.2
82.3
77.4
69.1
62.1
53.3
49.3
43.8
192
156
143
130
116
106
96.9
89.0
82.9
77.2
72.5
68.2
75.3
68.0
61.9
57.0
53.6

44.0
43.6
43.3
42.9
43.0
42.1
41.3
41.0
40.6
40.6
40.2
39.8
39.7
39.4
39.0
38.7
41.6
40.8
40.8
40.4
40.2
40.0
39.7
39.4
39.0
38.6
38.2
41.1
39.8
39.3
38.9
38.4
38.0
37.7
37.3
37.1
36.9
36.7
36.5
37.4
37.1
36.7
36.5
36.3

ddet

44
43
43
42
43
42
41
41
40
40
40
39
39
39
39
38
41
40
40
40
40
40
39
39
39
38
38
41
39
39
38
38
38
37
37
37
36
36
36
37
37
36
36
36

5/ 8
1/ 4
7/ 8

1/ 4
5/
1/
1/
7/
3/
3/

8
2
8
8
4
8

5/
5/
3/
3/
3/
1/

8
8
4
4
8
8

3/ 4
3/ 8
5/ 8
1/ 4
3/
3/
7/
3/

4
8
8
8

5/
3/
1/
7/
5/
1/
3/
1/
3/
1/
3/

8
8
8
8
8
2
8
8
4
2
8

W36X170
W36X160
W36X150
W36X135
W33X387
W33X354
W33X318
W33X291
W33X263
W33X241
W33X221
W33X201
W33X169
W33X152
W33X141
W33X130
W33X118
W30X391
W30X357
W30X326
W30X292
W30X261
W30X235
W30X211
W30X191
W30X173
W30X148
W30X132
W30X124
W30X116
W30X108
W30X99
W30X90
W27X539
W27X368
W27X336
W27X307
W27X281
W27X258
W27X235
W27X217
W27X194
W27X178
W27X161
W27X146

F
F
F
F
T
T
F
F
F
F
F
F
F
F
F
F
F
T
T
T
F
F
F
F
F
F
F
F
F
F
F
F
F
T
T
T
T
F
F
F
F
F
F
F
F

170
160
150
135
387
354
318
291
263
241
221
201
169
152
141
130
118
391
357
326
292
261
235
211
191
173
148
132
124
116
108
99.0
90.0
539
368
336
307
281
258
235
217
194
178
161
146

50.0
47.0
44.3
39.9
114
104
93.7
85.6
77.4
71.1
65.3
59.1
49.5
44.9
41.5
38.3
34.7
115
105
95.9
86.0
77.0
69.3
62.3
56.1
50.9
43.6
38.8
36.5
34.2
31.7
29.0
26.3
159
109
99.2
90.2
83.1
76.1
69.4
63.9
57.1
52.5
47.6
43.2

36.2
36.0
35.9
35.6
36.0
35.6
35.2
34.8
34.5
34.2
33.9
33.7
33.8
33.5
33.3
33.1
32.9
33.2
32.8
32.4
32.0
31.6
31.3
30.9
30.7
30.4
30.7
30.3
30.2
30.0
29.8
29.7
29.5
32.5
30.4
30.0
29.6
29.3
29.0
28.7
28.4
28.1
27.8
27.6
27.4

36
36
35
35
36
35
35
34
34
34
33
33
33
33
33
33
32
33
32
32
32
31
31
31
30
30
30
30
30
30
29
29
29
32
30
30
29
29
29
28
28
28
27
27
27

1/ 8
7/ 8
1/ 2
1/
1/
7/
1/
1/
7/
5/
7/
1/
1/
1/
7/
1/
3/
3/

2
8
8
2
8
8
8
8
2
4
8
8
4
4
8

5/ 8
1/ 4
5/
1/
5/
1/
1/

8
2
8
4
8

7/
5/
1/
1/
3/

8
8
2
2
8

5/ 8
1/ 4
5/
3/
1/
3/
5/
3/

8
8
8
4
8
8

W27X129
W27X114
W27X102
W27X94
W27X84
W24X370
W24X335
W24X306
W24X279
W24X250
W24X229
W24X207
W24X192
W24X176
W24X162
W24X146
W24X131
W24X117
W24X104
W24X103
W24X94
W24X84
W24X76
W24X68
W24X62
W24X55
W21X201
W21X182
W21X166
W21X147
W21X132
W21X122
W21X111
W21X101
W21X93
W21X83
W21X73
W21X68
W21X62
W21X55
W21X48
W21X57
W21X50
W21X44
W18X311

F
F
F
F
F
T
T
T
T
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
T

129
114
102
94.0
84.0
370
335
306
279
250
229
207
192
176
162
146
131
117
104
103
94.0
84.0
76.0
68.0
62.0
55.0
201
182
166
147
132
122
111
101
93.0
83.0
73.0
68.0
62.0
55.0
48.0
57.0
50.0
44.0
311

37.8
33.6
30.0
27.6
24.7
109
98.3
89.7
81.9
73.5
67.2
60.7
56.5
51.7
47.8
43.0
38.6
34.4
30.7
30.3
27.7
24.7
22.4
20.1
18.2
16.2
59.3
53.6
48.8
43.2
38.8
35.9
32.6
29.8
27.3
24.4
21.5
20.0
18.3
16.2
14.1
16.7
14.7
13.0
91.6

27.6
27.3
27.1
26.9
26.7
28.0
27.5
27.1
26.7
26.3
26.0
25.7
25.5
25.2
25.0
24.7
24.5
24.3
24.1
24.5
24.3
24.1
23.9
23.7
23.7
23.6
23.0
22.7
22.5
22.1
21.8
21.7
21.5
21.4
21.6
21.4
21.2
21.1
21.0
20.8
20.6
21.1
20.8
20.7
22.3

27
27
27
26
26
28
27
27
26
26
26
25
25
25
25
24
24
24
24
24
24
24
23
23
23
23
23
22
22
22
21
21
21
21
21
21
21
21
21
20
20
21
20
20
22

5/
1/
1/
7/
3/

8
4
8
8
4

1/
1/
3/
3/

2
8
4
8

3/ 4
1/ 2
1/ 4
3/ 4
1/ 2
1/ 4
1/
1/
1/
7/
3/
3/
5/

2
4
8
8
4
4
8

3/ 4
1/ 2
7/
5/
1/
3/
5/
3/
1/
1/

8
8
2
8
8
8
4
8

3/ 4
5/ 8
7/ 8
5/ 8
3/ 8

W18X283
W18X258
W18X234
W18X211
W18X192

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
W14X730
W14X665
W14X605
W14X550
W14X500
W14X455
W14X426
W14X398
W14X370
W14X342
W14X311
W14X283

T
T
T
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
T
T
T
T
T
T
T
T
T
T
T
T

283
258
234
211
192
175
158
143
130
119
106
97.0
86.0
76.0
71.0
65.0
60.0
55.0
50.0
46.0
40.0
35.0
100
89.0
77.0
67.0
57.0
50.0
45.0
40.0
36.0
31.0
26.0
730
665
605
550
500
455
426
398
370
342
311
283

83.3
76.0
68.6
62.3
56.2
51.4
46.3
42.0
38.3
35.1
31.1
28.5
25.3
22.3
20.9
19.1
17.6
16.2
14.7
13.5
11.8
10.3
29.4
26.2
22.6
19.6
16.8
14.7
13.3
11.8
10.6
9.13
7.68
215
196
178
162
147
134
125
117
109
101
91.4
83.3

21.9
21.5
21.1
20.7
20.4
20.0
19.7
19.5
19.3
19.0
18.7
18.6
18.4
18.2
18.5
18.4
18.2
18.1
18.0
18.1
17.9
17.7
17.0
16.8
16.5
16.3
16.4
16.3
16.1
16.0
15.9
15.9
15.7
22.4
21.6
20.9
20.2
19.6
19.0
18.7
18.3
17.9
17.5
17.1
16.7

21
21
21
20
20
20
19
19
19
19
18
18
18
18
18
18
18
18
18
18
17
17
17
16
16
16
16
16
16
16
15
15
15
22
21
20
20
19
19
18
18
17
17
17
16

7/ 8
1/ 2
5/ 8
3/ 8
3/ 4
1/ 2
1/ 4
3/
5/
3/
1/
1/
3/
1/
1/

4
8
8
4
2
8
4
8

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

4
2
8
8
4
8

7/
7/
3/
3/
5/
7/
1/
5/

8
8
4
8
8
8
4
8

5/
1/
7/
1/
1/
3/

8
4
8
2
8
4

W14X257
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

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
T
T
T
T
T
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

257
233
211
193
176
159
145
132
120
109
99.0
90.0
82.0
74.0
68.0
61.0
53.0
48.0
43.0
38.0
34.0
30.0
26.0
22.0
336
305
279
252
230
210
190
170
152
136
120
106
96.0
87.0
79.0
72.0
65.0
58.0
53.0
50.0
45.0

75.6
68.5
62.0
56.8
51.8
46.7
42.7
38.8
35.3
32.0
29.1
26.5
24.0
21.8
20.0
17.9
15.6
14.1
12.6
11.2
10.0
8.85
7.69
6.49
98.9
89.5
81.9
74.1
67.7
61.8
56.0
50.0
44.7
39.9
35.2
31.2
28.2
25.6
23.2
21.1
19.1
17.0
15.6
14.6
13.1

16.4
16.0
15.7
15.5
15.2
15.0
14.8
14.7
14.5
14.3
14.2
14.0
14.3
14.2
14.0
13.9
13.9
13.8
13.7
14.1
14.0
13.8
13.9
13.7
16.8
16.3
15.9
15.4
15.1
14.7
14.4
14.0
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

16
16
15
15
15
15
14
14
14
14
14
14
14
14
14
13
13
13
13
14
14
13
13
13
16
16
15
15
15
14
14
14
13
13
13
12
12
12
12
12
12
12
12
12
12

3/ 8
3/ 4
1/ 2
1/ 4
3/
5/
1/
3/
1/

4
8
2
8
8

1/ 4
1/ 8
7/
7/
3/
5/
1/

8
8
4
8
8

7/
7/
3/
7/
3/
7/
3/

8
8
4
8
8
8
8

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

4
8
8
8
4
2
8
4
8
4

1/ 4

W12X40
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
W6X15
W6X16
W6X12
W6X9

F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F

40.0
35.0
30.0
26.0
22.0
19.0
16.0
14.0
112
100
88.0
77.0
68.0
60.0
54.0
49.0
45.0
39.0
33.0
30.0
26.0
22.0
19.0
17.0
15.0
12.0
67.0
58.0
48.0
40.0
35.0
31.0
28.0
24.0
21.0
18.0
15.0
13.0
10.0
25.0
20.0
15.0
16.0
12.0
9.00

11.7
10.3
8.79
7.65
6.48
5.57
4.71
4.16
32.9
29.3
26.0
22.7
19.9
17.7
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
9.13
8.25
7.08
6.16
5.26
4.44
3.84
2.96
7.34
5.87
4.43
4.74
3.55
2.68

11.9
12.5
12.3
12.2
12.3
12.2
12.0
11.9
11.4
11.1
10.8
10.6
10.4
10.2
10.1
10.0
10.1
9.92
9.73
10.5
10.3
10.2
10.2
10.1
9.99
9.87
9.00
8.75
8.50
8.25
8.12
8.00
8.06
7.93
8.28
8.14
8.11
7.99
7.89
6.38
6.20
5.99
6.28
6.03
5.90

12
12 1/ 2
12 3/ 8
12 1/ 4
12 1/ 4
12 1/ 8
12
11 7/ 8
11 3/ 8
11 1/ 8
10 7/ 8
10 5/ 8
10 3/ 8
10 1/ 4
10 1/ 8
10
10 1/ 8
9 7/ 8
9 3/ 4
10 1/ 2
10 3/ 8
10 1/ 8
10 1/ 4
10 1/ 8
10
9 7/ 8
9
8 3/ 4
8 1/ 2
8 1/ 4
8 1/ 8
8
8
7 7/ 8
8 1/ 4
8 1/ 8
8 1/ 8
8
7 7/ 8
6 3/ 8
6 1/ 4
6
6 1/ 4
6
5 7/ 8

W6X8.5
W5X19
W5X16
W4X13

F
F
F
F

8.50
19.0
16.0
13.0

2.52
5.56
4.71
3.83

5.83
5.15
5.01
4.16

5 7/ 8
5 1/ 8
5
4 1/ 8

Ht

OD

bf

15.9
15.8
15.8
15.8
16.7
16.4
16.2
16.1
16.1
16.0
15.9
15.8
15.8
15.8
15.8
15.8
12.4
12.2
12.1
12.0
12.0
11.9
11.9
11.8
11.8
11.8
11.8
17.6
17.2
17.1
17.0
16.8
16.7
16.6
16.7
16.6
16.6
16.5
16.5
12.2
12.1
12.2
12.1
12.1

bfdet

16
15
15
15
16
16
16
16
16
16
15
15
15
15
15
15
12
12
12
12
12
11
11
11
11
11
11
17
17
17
17
16
16
16
16
16
16
16
16
12
12
12
12
12

7/
3/
3/
3/
3/
1/
1/
1/

8
4
4
4
8
4
8
8

7/
7/
7/
3/
3/
3/
3/
1/
1/

8
8
8
4
4
4
8
8
8

7/
7/
3/
3/
3/
3/
5/
1/
1/

8
8
4
4
4
4
8
4
8

7/
3/
5/
5/
5/
1/
1/
1/
1/
1/
1/
1/
1/

8
4
8
8
8
2
2
2
4
8
8
8
8

12.0
12.0
12.0
12.0
16.2
16.1
16.0
15.9
15.8
15.9
15.8
15.7
11.5
11.6
11.5
11.5
11.5
15.6
15.5
15.4
15.3
15.2
15.1
15.1
15.0
15.0
10.5
10.5
10.5
10.5
10.5
10.5
10.4
15.3
14.7
14.6
14.4
14.4
14.3
14.2
14.1
14.0
14.1
14.0
14.0

12
12
12
12
16
16
16
15
15
15
15
15
11
11
11
11
11
15
15
15
15
15
15
15
15
15
10
10
10
10
10
10
10
15
14
14
14
14
14
14
14
14
14
14
14

1/ 4
1/ 8
7/
3/
7/
3/
3/
1/
5/
1/
1/
1/
5/
1/
3/
1/
1/

8
4
8
4
4
2
8
2
2
2
8
2
8
4
8

1/ 8

1/
1/
1/
1/
1/
1/
3/
1/
5/
1/
1/
3/
1/
1/
1/

2
2
2
2
2
2
8
4
8
2
2
8
4
4
8

1/ 8

10.0
10.1
10.0
10.0
10.0
13.7
13.5
13.4
13.3
13.2
13.1
13.0
13.0
12.9
13.0
12.9
12.9
12.8
12.8
9.00
9.07
9.02
8.99
8.97
7.04
7.01
12.6
12.5
12.4
12.5
12.4
12.4
12.3
12.3
8.42
8.36
8.30
8.27
8.24
8.22
8.14
6.56
6.53
6.50
12.0

10
10 1/ 8
10
10
10
13 5/ 8
13 1/ 2
13 3/ 8
13 1/ 4
13 1/ 8
13 1/ 8
13
13
12 7/ 8
13
12 7/ 8
12 7/ 8
12 3/ 4
12 3/ 4
9
9 1/ 8
9
9
9
7
7
12 5/ 8
12 1/ 2
12 3/ 8
12 1/ 2
12 1/ 2
12 3/ 8
12 3/ 8
12 1/ 4
8 3/ 8
8 3/ 8
8 1/ 4
8 1/ 4
8 1/ 4
8 1/ 4
8 1/ 8
6 1/ 2
6 1/ 2
6 1/ 2
12

11.9
11.8
11.7
11.6
11.5
11.4
11.3
11.2
11.2
11.3
11.2
11.1
11.1
11.0
7.64
7.59
7.56
7.53
7.50
6.06
6.02
6.00
10.4
10.4
10.3
10.2
7.12
7.07
7.04
7.00
6.99
5.53
5.50
17.9
17.7
17.4
17.2
17.0
16.8
16.7
16.6
16.5
16.4
16.2
16.1

11 7/ 8
11 3/ 4
11 5/ 8
11 1/ 2
11 1/ 2
11 3/ 8
11 1/ 4
11 1/ 4
11 1/ 8
11 1/ 4
11 1/ 4
11 1/ 8
11 1/ 8
11
7 5/ 8
7 5/ 8
7 1/ 2
7 1/ 2
7 1/ 2
6
6
6
10 3/ 8
10 3/ 8
10 1/ 4
10 1/ 4
7 1/ 8
7 1/ 8
7
7
7
5 1/ 2
5 1/ 2
17 7/ 8
17 5/ 8
17 3/ 8
17 1/ 4
17
16 7/ 8
16 3/ 4
16 5/ 8
16 1/ 2
16 3/ 8
16 1/ 4
16 1/ 8

16.0
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
10.0
10.0
8.06
8.03
8.00
6.77
6.75
6.73
5.03
5.00
13.4
13.2
13.1
13.0
12.9
12.8
12.7
12.6
12.5
12.4
12.3
12.2
12.2
12.1
12.1
12.0
12.0
10.0
10.0
8.08
8.05

16
15 7/ 8
15 3/ 4
15 3/ 4
15 5/ 8
15 5/ 8
15 1/ 2
14 3/ 4
14 5/ 8
14 5/ 8
14 5/ 8
14 1/ 2
10 1/ 8
10 1/ 8
10
10
8
8
8
6 3/ 4
6 3/ 4
6 3/ 4
5
5
13 3/ 8
13 1/ 4
13 1/ 8
13
12 7/ 8
12 3/ 4
12 5/ 8
12 5/ 8
12 1/ 2
12 3/ 8
12 3/ 8
12 1/ 4
12 1/ 8
12 1/ 8
12 1/ 8
12
12
10
10
8 1/ 8
8

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
10.0
10.0
8.02
7.99
7.96
5.81
5.77
5.75
4.02
4.01
4.00
3.96
8.28
8.22
8.11
8.07
8.02
8.00
6.54
6.50
5.27
5.25
4.02
4.00
3.94
6.08
6.02
5.99
4.03
4.00
3.94

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

3.94
5.03
5.00
4.06

4
5
5
4

ID

tw

twdet

twdet/2

tf

tfdet

1.03
0.865
0.785
0.710
1.79
1.54
1.34
1.22
1.16
1.12
1.00
0.930
0.830
0.750
0.650
0.650
1.42
1.22
1.18
1.06
1.03
0.960
0.830
0.750
0.650
0.650
0.630
1.97
1.61
1.50
1.36
1.22
1.12
1.02
0.945
0.885
0.840
0.800
0.760
0.960
0.870
0.830
0.765
0.725

1
7/ 8
13/16
11/16
1 13/16
1 9/16
1 5/16
1 1/ 4
1 3/16
1 1/ 8
1
15/16
13/16
3/ 4
5/ 8
5/ 8
1 7/16
1 1/ 4
1 3/16
1 1/16
1
15/16
13/16
3/ 4
5/ 8
5/ 8
5/ 8
2
1 5/ 8
1 1/ 2
1 3/ 8
1 1/ 4
1 1/ 8
1
15/16
7/ 8
13/16
13/16
3/ 4
15/16
7/ 8
13/16
3/ 4
3/ 4

1/ 2
7/16
7/16
3/ 8
15/16
13/16
11/16
5/ 8
5/ 8
9/16
1/ 2
1/ 2
7/16
3/ 8
5/16
5/16
3/ 4
5/ 8
5/ 8
9/16
1/ 2
1/ 2
7/16
3/ 8
5/16
5/16
5/16
1
13/16
3/ 4
11/16
5/ 8
9/16
1/ 2
1/ 2
7/16
7/16
7/16
3/ 8
1/ 2
7/16
7/16
3/ 8
3/ 8

1.77
1.58
1.42
1.22
3.23
2.76
2.36
2.20
2.05
2.01
1.81
1.65
1.58
1.42
1.22
1.07
2.52
2.13
2.13
1.93
1.81
1.73
1.58
1.42
1.20
1.03
0.830
3.54
2.91
2.68
2.44
2.20
2.01
1.85
1.68
1.57
1.44
1.35
1.26
1.73
1.57
1.36
1.26
1.18

1 3/ 4
1 9/16
1 7/16
1 1/ 4
3 1/ 4
2 3/ 4
2 3/ 8
2 3/16
2 1/16
2
1 13/16
1 5/ 8
1 9/16
1 7/16
1 1/ 4
1 1/16
2 1/ 2
2 1/ 8
2 1/ 8
1 15/16
1 13/16
1 3/ 4
1 9/16
1 7/16
1 3/16
1
13/16
3 9/16
2 15/16
2 11/16
2 7/16
2 3/16
2
1 7/ 8
1 11/16
1 9/16
1 7/16
1 3/ 8
1 1/ 4
1 3/ 4
1 9/16
1 3/ 8
1 1/ 4
1 3/16

0.680
0.650
0.625
0.600
1.26
1.16
1.04
0.960
0.870
0.830
0.775
0.715
0.670
0.635
0.605
0.580
0.550
1.36
1.24
1.14
1.02
0.930
0.830
0.775
0.710
0.655
0.650
0.615
0.585
0.565
0.545
0.520
0.470
1.97
1.38
1.26
1.16
1.06
0.980
0.910
0.830
0.750
0.725
0.660
0.605

11/16
5/ 8
5/ 8
5/ 8
1 1/ 4
1 3/16
1 1/16
15/16
7/ 8
13/16
3/ 4
11/16
11/16
5/ 8
5/ 8
9/16
9/16
1 3/ 8
1 1/ 4
1 1/ 8
1
15/16
13/16
3/ 4
11/16
5/ 8
5/ 8
5/ 8
9/16
9/16
9/16
1/ 2
1/ 2
2
1 3/ 8
1 1/ 4
1 3/16
1 1/16
1
15/16
13/16
3/ 4
3/ 4
11/16
5/ 8

3/ 8
5/16
5/16
5/16
5/ 8
5/ 8
9/16
1/ 2
7/16
7/16
3/ 8
3/ 8
3/ 8
5/16
5/16
5/16
5/16
11/16
5/ 8
9/16
1/ 2
1/ 2
7/16
3/ 8
3/ 8
5/16
5/16
5/16
5/16
5/16
5/16
1/ 4
1/ 4
1
11/16
5/ 8
5/ 8
9/16
1/ 2
1/ 2
7/16
3/ 8
3/ 8
3/ 8
5/16

1.10
1.02
0.940
0.790
2.28
2.09
1.89
1.73
1.57
1.40
1.28
1.15
1.22
1.06
0.960
0.855
0.740
2.44
2.24
2.05
1.85
1.65
1.50
1.32
1.19
1.07
1.18
1.00
0.930
0.850
0.760
0.670
0.610
3.54
2.48
2.28
2.09
1.93
1.77
1.61
1.50
1.34
1.19
1.08
0.975

1 1/ 8
1
15/16
13/16
2 1/ 4
2 1/16
1 7/ 8
1 3/ 4
1 9/16
1 3/ 8
1 1/ 4
1 1/ 8
1 1/ 4
1 1/16
15/16
7/ 8
3/ 4
2 7/16
2 1/ 4
2 1/16
1 7/ 8
1 5/ 8
1 1/ 2
1 5/16
1 3/16
1 1/16
1 3/16
1
15/16
7/ 8
3/ 4
11/16
5/ 8
3 9/16
2 1/ 2
2 1/ 4
2 1/16
1 15/16
1 3/ 4
1 5/ 8
1 1/ 2
1 5/16
1 3/16
1 1/16
1

0.610
0.570
0.515
0.490
0.460
1.52
1.38
1.26
1.16
1.04
0.960
0.870
0.810
0.750
0.705
0.650
0.605
0.550
0.500
0.550
0.515
0.470
0.440
0.415
0.430
0.395
0.910
0.830
0.750
0.720
0.650
0.600
0.550
0.500
0.580
0.515
0.455
0.430
0.400
0.375
0.350
0.405
0.380
0.350
1.52

5/ 8
9/16
1/ 2
1/ 2
7/16
1 1/ 2
1 3/ 8
1 1/ 4
1 3/16
1 1/16
15/16
7/ 8
13/16
3/ 4
11/16
5/ 8
5/ 8
9/16
1/ 2
9/16
1/ 2
1/ 2
7/16
7/16
7/16
3/ 8
15/16
13/16
3/ 4
3/ 4
5/ 8
5/ 8
9/16
1/ 2
9/16
1/ 2
7/16
7/16
3/ 8
3/ 8
3/ 8
3/ 8
3/ 8
3/ 8
1 1/ 2

5/16
5/16
1/ 4
1/ 4
1/ 4
3/ 4
11/16
5/ 8
5/ 8
9/16
1/ 2
7/16
7/16
3/ 8
3/ 8
5/16
5/16
5/16
1/ 4
5/16
1/ 4
1/ 4
1/ 4
1/ 4
1/ 4
3/16
1/ 2
7/16
3/ 8
3/ 8
5/16
5/16
5/16
1/ 4
5/16
1/ 4
1/ 4
1/ 4
3/16
3/16
3/16
3/16
3/16
3/16
3/ 4

1.10
0.930
0.830
0.745
0.640
2.72
2.48
2.28
2.09
1.89
1.73
1.57
1.46
1.34
1.22
1.09
0.960
0.850
0.750
0.980
0.875
0.770
0.680
0.585
0.590
0.505
1.63
1.48
1.36
1.15
1.04
0.960
0.875
0.800
0.930
0.835
0.740
0.685
0.615
0.522
0.430
0.650
0.535
0.450
2.74

1 1/ 8
15/16
13/16
3/ 4
5/ 8
2 3/ 4
2 1/ 2
2 1/ 4
2 1/16
1 7/ 8
1 3/ 4
1 9/16
1 7/16
1 5/16
1 1/ 4
1 1/16
15/16
7/ 8
3/ 4
1
7/ 8
3/ 4
11/16
9/16
9/16
1/ 2
1 5/ 8
1 1/ 2
1 3/ 8
1 1/ 8
1 1/16
15/16
7/ 8
13/16
15/16
13/16
3/ 4
11/16
5/ 8
1/ 2
7/16
5/ 8
9/16
7/16
2 3/ 4

1.40
1.28
1.16
1.06
0.960
0.890
0.810
0.730
0.670
0.655
0.590
0.535
0.480
0.425
0.495
0.450
0.415
0.390
0.355
0.360
0.315
0.300
0.585
0.525
0.455
0.395
0.430
0.380
0.345
0.305
0.295
0.275
0.250
3.07
2.83
2.60
2.38
2.19
2.02
1.88
1.77
1.66
1.54
1.41
1.29

1 3/ 8
1 1/ 4
1 3/16
1 1/16
15/16
7/ 8
13/16
3/ 4
11/16
5/ 8
9/16
9/16
1/ 2
7/16
1/ 2
7/16
7/16
3/ 8
3/ 8
3/ 8
5/16
5/16
9/16
1/ 2
7/16
3/ 8
7/16
3/ 8
3/ 8
5/16
5/16
1/ 4
1/ 4
3 1/16
2 13/16
2 5/ 8
2 3/ 8
2 3/16
2
1 7/ 8
1 3/ 4
1 11/16
1 9/16
1 7/16
1 5/16

11/16
5/ 8
5/ 8
9/16
1/ 2
7/16
7/16
3/ 8
3/ 8
5/16
5/16
5/16
1/ 4
1/ 4
1/ 4
1/ 4
1/ 4
3/16
3/16
3/16
3/16
3/16
5/16
1/ 4
1/ 4
3/16
1/ 4
3/16
3/16
3/16
3/16
1/ 8
1/ 8
1 9/16
1 7/16
1 5/16
1 3/16
1 1/ 8
1
15/16
7/ 8
13/16
13/16
3/ 4
11/16

2.50
2.30
2.11
1.91
1.75
1.59
1.44
1.32
1.20
1.06
0.940
0.870
0.770
0.680
0.810
0.750
0.695
0.630
0.570
0.605
0.525
0.425
0.985
0.875
0.760
0.665
0.715
0.630
0.565
0.505
0.430
0.440
0.345
4.91
4.52
4.16
3.82
3.50
3.21
3.04
2.85
2.66
2.47
2.26
2.07

2 1/ 2
2 5/16
2 1/ 8
1 15/16
1 3/ 4
1 9/16
1 7/16
1 5/16
1 3/16
1 1/16
15/16
7/ 8
3/ 4
11/16
13/16
3/ 4
11/16
5/ 8
9/16
5/ 8
1/ 2
7/16
1
7/ 8
3/ 4
11/16
11/16
5/ 8
9/16
1/ 2
7/16
7/16
3/ 8
4 15/16
4 1/ 2
4 3/16
3 13/16
3 1/ 2
3 3/16
3 1/16
2 7/ 8
2 11/16
2 1/ 2
2 1/ 4
2 1/16

1.18
1.07
0.980
0.890
0.830
0.745
0.680
0.645
0.590
0.525
0.485
0.440
0.510
0.450
0.415
0.375
0.370
0.340
0.305
0.310
0.285
0.270
0.255
0.230
1.78
1.63
1.53
1.40
1.29
1.18
1.06
0.960
0.870
0.790
0.710
0.610
0.550
0.515
0.470
0.430
0.390
0.360
0.345
0.370
0.335

1 3/16
1 1/16
1
7/ 8
13/16
3/ 4
11/16
5/ 8
9/16
1/ 2
1/ 2
7/16
1/ 2
7/16
7/16
3/ 8
3/ 8
5/16
5/16
5/16
5/16
1/ 4
1/ 4
1/ 4
1 3/ 4
1 5/ 8
1 1/ 2
1 3/ 8
1 5/16
1 3/16
1 1/16
15/16
7/ 8
13/16
11/16
5/ 8
9/16
1/ 2
1/ 2
7/16
3/ 8
3/ 8
3/ 8
3/ 8
5/16

5/ 8
9/16
1/ 2
7/16
7/16
3/ 8
3/ 8
5/16
5/16
1/ 4
1/ 4
1/ 4
1/ 4
1/ 4
1/ 4
3/16
3/16
3/16
3/16
3/16
3/16
1/ 8
1/ 8
1/ 8
7/ 8
13/16
3/ 4
11/16
11/16
5/ 8
9/16
1/ 2
7/16
7/16
3/ 8
5/16
5/16
1/ 4
1/ 4
1/ 4
3/16
3/16
3/16
3/16
3/16

1.89
1.72
1.56
1.44
1.31
1.19
1.09
1.03
0.940
0.860
0.780
0.710
0.855
0.785
0.720
0.645
0.660
0.595
0.530
0.515
0.455
0.385
0.420
0.335
2.96
2.71
2.47
2.25
2.07
1.90
1.74
1.56
1.40
1.25
1.11
0.990
0.900
0.810
0.735
0.670
0.605
0.640
0.575
0.640
0.575

1 7/ 8
1 3/ 4
1 9/16
1 7/16
1 5/16
1 3/16
1 1/16
1
15/16
7/ 8
3/ 4
11/16
7/ 8
13/16
3/ 4
5/ 8
11/16
5/ 8
1/ 2
1/ 2
7/16
3/ 8
7/16
5/16
2 15/16
2 11/16
2 1/ 2
2 1/ 4
2 1/16
1 7/ 8
1 3/ 4
1 9/16
1 3/ 8
1 1/ 4
1 1/ 8
1
7/ 8
13/16
3/ 4
11/16
5/ 8
5/ 8
9/16
5/ 8
9/16

0.295
0.300
0.260
0.230
0.260
0.235
0.220
0.200
0.755
0.680
0.605
0.530
0.470
0.420
0.370
0.340
0.350
0.315
0.290
0.300
0.260
0.240
0.250
0.240
0.230
0.190
0.570
0.510
0.400
0.360
0.310
0.285
0.285
0.245
0.250
0.230
0.245
0.230
0.170
0.320
0.260
0.230
0.260
0.230
0.170

5/16
5/16
1/ 4
1/ 4
1/ 4
1/ 4
1/ 4
3/16
3/ 4
11/16
5/ 8
1/ 2
1/ 2
7/16
3/ 8
5/16
3/ 8
5/16
5/16
5/16
1/ 4
1/ 4
1/ 4
1/ 4
1/ 4
3/16
9/16
1/ 2
3/ 8
3/ 8
5/16
5/16
5/16
1/ 4
1/ 4
1/ 4
1/ 4
1/ 4
3/16
5/16
1/ 4
1/ 4
1/ 4
1/ 4
3/16

3/16
3/16
1/ 8
1/ 8
1/ 8
1/ 8
1/ 8
1/ 8
3/ 8
3/ 8
5/16
1/ 4
1/ 4
1/ 4
3/16
3/16
3/16
3/16
3/16
3/16
1/ 8
1/ 8
1/ 8
1/ 8
1/ 8
1/ 8
5/16
1/ 4
3/16
3/16
3/16
3/16
3/16
1/ 8
1/ 8
1/ 8
1/ 8
1/ 8
1/ 8
3/16
1/ 8
1/ 8
1/ 8
1/ 8
1/ 8

0.515
0.520
0.440
0.380
0.425
0.350
0.265
0.225
1.25
1.12
0.990
0.870
0.770
0.680
0.615
0.560
0.620
0.530
0.435
0.510
0.440
0.360
0.395
0.330
0.270
0.210
0.935
0.810
0.685
0.560
0.495
0.435
0.465
0.400
0.400
0.330
0.315
0.255
0.205
0.455
0.365
0.260
0.405
0.280
0.215

1/ 2
1/ 2
7/16
3/ 8
7/16
3/ 8
1/ 4
1/ 4
1 1/ 4
1 1/ 8
1
7/ 8
3/ 4
11/16
5/ 8
9/16
5/ 8
1/ 2
7/16
1/ 2
7/16
3/ 8
3/ 8
5/16
1/ 4
3/16
15/16
13/16
11/16
9/16
1/ 2
7/16
7/16
3/ 8
3/ 8
5/16
5/16
1/ 4
3/16
7/16
3/ 8
1/ 4
3/ 8
1/ 4
3/16

0.170
0.270
0.240
0.280

3/16
1/ 4
1/ 4
1/ 4

1/
1/
1/
1/

8
8
8
8

0.195
0.430
0.360
0.345

3/16
7/16
3/ 8
3/ 8

tnom

tdes

kdes

kdet

k1

2.56
2.36
2.20
2.01
4.41
3.94
3.54
3.38
3.23
3.19
2.99
2.83
2.76
2.60
2.40
2.25
3.70
3.31
3.31
3.11
2.99
2.91
2.76
2.60
2.38
2.21
2.01
4.49
3.86
3.63
3.39
3.15
2.96
2.80
2.63
2.52
2.39
2.30
2.21
2.48
2.32
2.11
2.01
1.93

2 5/ 8
2 7/16
2 1/ 4
2 1/16
4 1/ 2
4
3 5/ 8
3 1/ 2
3 5/16
3 1/ 4
3 1/16
2 15/16
2 7/ 8
2 11/16
2 1/ 2
2 5/16
3 13/16
3 3/ 8
3 3/ 8
3 3/16
3 1/16
3
2 7/ 8
2 11/16
2 1/ 2
2 5/16
2 1/ 8
4 13/16
4 3/16
4
3 3/ 4
3 7/16
3 5/16
3 1/ 8
3
2 7/ 8
2 3/ 4
2 5/ 8
2 9/16
2 5/ 8
2 7/16
2 5/16
2 3/16
2 1/ 8

1 5/16
1 1/ 4
1 3/16
1 3/16
2 1/ 8
2
1 7/ 8
1 13/16
1 13/16
1 3/ 4
1 11/16
1 11/16
1 5/ 8
1 9/16
1 9/16
1 9/16
1 15/16
1 13/16
1 13/16
1 3/ 4
1 3/ 4
1 11/16
1 5/ 8
1 9/16
1 9/16
1 9/16
1 1/ 2
2 3/16
2
1 7/ 8
1 7/ 8
1 13/16
1 3/ 4
1 3/ 4
1 11/16
1 5/ 8
1 5/ 8
1 5/ 8
1 9/16
1 5/16
1 1/ 4
1 1/ 4
1 3/16
1 3/16

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
3.23
3.03
2.84
2.64
2.44
2.29
2.10
1.97
1.85
1.83
1.65
1.58
1.50
1.41
1.32
1.26
4.33
3.27
3.07
2.88
2.72
2.56
2.40
2.29
2.13
1.98
1.87
1.76

2
1 15/16
1 7/ 8
1 11/16
3 3/16
2 15/16
2 3/ 4
2 5/ 8
2 7/16
2 1/ 4
2 1/ 8
2
2 1/ 8
1 15/16
1 13/16
1 3/ 4
1 5/ 8
3 3/ 8
3 1/ 8
2 15/16
2 3/ 4
2 9/16
2 3/ 8
2 1/ 4
2 1/16
2
2 1/16
1 7/ 8
1 13/16
1 3/ 4
1 11/16
1 9/16
1 1/ 2
4 7/16
3 3/ 8
3 3/16
3
2 13/16
2 11/16
2 1/ 2
2 3/ 8
2 1/ 4
2 1/16
2
1 7/ 8

1 3/16
1 1/ 8
1 1/ 8
1 1/ 8
1 7/16
1 3/ 8
1 5/16
1 5/16
1 1/ 4
1 1/ 4
1 3/16
1 3/16
1 3/16
1 1/ 8
1 1/ 8
1 1/ 8
1 1/ 8
1 1/ 2
1 7/16
1 3/ 8
1 5/16
1 5/16
1 1/ 4
1 3/16
1 3/16
1 1/ 8
1 1/ 8
1 1/ 8
1 1/ 8
1 1/ 8
1 1/ 8
1 1/16
1 1/16
1 13/16
1 1/ 2
1 7/16
1 7/16
1 3/ 8
1 5/16
1 5/16
1 1/ 4
1 3/16
1 3/16
1 3/16
1 1/ 8

1.70
1.53
1.43
1.34
1.24
3.22
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
1.09
1.01
2.13
1.98
1.86
1.65
1.54
1.46
1.38
1.30
1.43
1.34
1.24
1.19
1.12
1.02
0.930
1.15
1.04
0.950
3.24

2
1 13/16
1 3/ 4
1 5/ 8
1 9/16
3 5/ 8
3 3/ 8
3 3/16
3
2 13/16
2 5/ 8
2 1/ 2
2 3/ 8
2 1/ 4
2 1/ 8
2
1 7/ 8
1 3/ 4
1 5/ 8
1 7/ 8
1 3/ 4
1 11/16
1 9/16
1 1/ 2
1 1/ 2
1 7/16
2 1/ 2
2 3/ 8
2 1/ 4
2
1 15/16
1 13/16
1 3/ 4
1 11/16
1 5/ 8
1 1/ 2
1 7/16
1 3/ 8
1 5/16
1 3/16
1 1/ 8
1 5/16
1 1/ 4
1 1/ 8
3 7/16

1 1/ 8
1 1/ 8
1 1/16
1 1/16
1 1/16
1 9/16
1 1/ 2
1 7/16
1 7/16
1 3/ 8
1 5/16
1 1/ 4
1 1/ 4
1 3/16
1 3/16
1 1/ 8
1 1/ 8
1 1/ 8
1 1/16
1 1/ 8
1 1/16
1 1/16
1 1/16
1 1/16
1 1/16
1
1 5/16
1 1/ 4
1 3/16
1 3/16
1 1/ 8
1 1/ 8
1 1/ 8
1 1/16
15/16
7/ 8
7/ 8
7/ 8
13/16
13/16
13/16
13/16
13/16
13/16
1 3/ 8

3.00
2.70
2.51
2.31
2.15
1.99
1.84
1.72
1.60
1.46
1.34
1.27
1.17
1.08
1.21
1.15
1.10
1.03
0.972
1.01
0.927
0.827
1.39
1.28
1.16
1.07
1.12
1.03
0.967
0.907
0.832
0.842
0.747
5.51
5.12
4.76
4.42
4.10
3.81
3.63
3.44
3.26
3.07
2.86
2.67

3 3/16
3
2 3/ 4
2 9/16
2 7/16
2 7/16
2 3/ 8
2 3/16
2 1/16
1 15/16
1 13/16
1 3/ 4
1 5/ 8
1 9/16
1 1/ 2
1 7/16
1 3/ 8
1 5/16
1 1/ 4
1 1/ 4
1 3/16
1 1/ 8
1 7/ 8
1 3/ 4
1 5/ 8
1 9/16
1 3/ 8
1 5/16
1 1/ 4
1 3/16
1 1/ 8
1 1/ 8
1 1/16
6 3/16
5 13/16
5 7/16
5 1/ 8
4 13/16
4 1/ 2
4 5/16
4 1/ 8
3 15/16
3 3/ 4
3 9/16
3 3/ 8

1
1
1
1
1
1
1
1
1
1
1
1
1
1

5/16
1/ 4
3/16
3/16
1/ 8
1/ 4
1/ 4
3/16
3/16
3/16
1/ 8
1/ 8
1/16
1/16
7/ 8
7/ 8
13/16
13/16
13/16
13/16
13/16
3/ 4
1 1/ 8
1 1/16
1 1/16
1
7/ 8
13/16
13/16
13/16
3/ 4
3/ 4
3/ 4
2 3/ 4
2 5/ 8
2 1/ 2
2 3/ 8
2 5/16
2 1/ 4
2 1/ 8
2 1/ 8
2 1/16
2
1 15/16
1 7/ 8

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
0.820
0.735
3.55
3.30
3.07
2.85
2.67
2.50
2.33
2.16
2.00
1.85
1.70
1.59
1.50
1.41
1.33
1.27
1.20
1.24
1.18
1.14
1.08

3 3/16
3
2 7/ 8
2 3/ 4
2 5/ 8
2 1/ 2
2 3/ 8
2 5/16
2 1/ 4
2 3/16
2 1/16
2
1 11/16
1 5/ 8
1 9/16
1 1/ 2
1 1/ 2
1 7/16
1 3/ 8
1 1/ 4
1 3/16
1 1/ 8
1 1/ 8
1 1/16
3 7/ 8
3 5/ 8
3 3/ 8
3 1/ 8
2 15/16
2 13/16
2 5/ 8
2 7/16
2 5/16
2 1/ 8
2
1 7/ 8
1 13/16
1 11/16
1 5/ 8
1 9/16
1 1/ 2
1 1/ 2
1 3/ 8
1 1/ 2
1 3/ 8

1 13/16
1 3/ 4
1 11/16
1 11/16
1 5/ 8
1 9/16
1 9/16
1 9/16
1 1/ 2
1 1/ 2
1 7/16
1 7/16
1 1/16
1 1/16
1 1/16
1
1
1
1
13/16
3/ 4
3/ 4
3/ 4
3/ 4
1 11/16
1 5/ 8
1 5/ 8
1 1/ 2
1 1/ 2
1 7/16
1 3/ 8
1 5/16
1 1/ 4
1 1/ 4
1 3/16
1 1/ 8
1 1/ 8
1 1/16
1 1/16
1 1/16
1
15/16
15/16
15/16
15/16

1.02
0.820
0.740
0.680
0.725
0.650
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
0.810
0.740
0.660
0.695
0.630
0.570
0.510
1.33
1.20
1.08
0.954
0.889
0.829
0.859
0.794
0.700
0.630
0.615
0.555
0.505
0.705
0.615
0.510
0.655
0.530
0.465

1 3/ 8
1 3/16
1 1/ 8
1 1/16
15/16
7/ 8
13/16
3/ 4
1 15/16
1 13/16
1 11/16
1 9/16
1 7/16
1 3/ 8
1 5/16
1 1/ 4
1 5/16
1 3/16
1 1/ 8
1 1/ 8
1 1/16
15/16
15/16
7/ 8
13/16
3/ 4
1 5/ 8
1 1/ 2
1 3/ 8
1 1/ 4
1 3/16
1 1/ 8
15/16
7/ 8
7/ 8
13/16
13/16
3/ 4
11/16
15/16
7/ 8
3/ 4
7/ 8
3/ 4
11/16

7/ 8
3/ 4
3/ 4
3/ 4
5/ 8
9/16
9/16
9/16
1
1
15/16
7/ 8
7/ 8
13/16
13/16
13/16
13/16
13/16
3/ 4
11/16
11/16
5/ 8
5/ 8
9/16
9/16
9/16
15/16
7/ 8
13/16
13/16
13/16
3/ 4
5/ 8
9/16
9/16
9/16
9/16
9/16
1/ 2
9/16
9/16
9/16
9/16
9/16
1/ 2

0.445
0.730
0.660
0.595

11/16
13/16
3/ 4
3/ 4

1/ 2
7/16
7/16
1/ 2

eo

xp

yp

bf/2tf

b/t

b/tdes

h/tw

4.50
5.02
5.57
6.45
2.58
2.98
3.44
3.66
3.93
3.99
4.40
4.80
5.03
5.55
6.45
7.39
2.45
2.86
2.85
3.11
3.31
3.45
3.77
4.17
4.92
5.76
7.11
2.48
2.96
3.19
3.48
3.83
4.16
4.49
4.96
5.29
5.75
6.11
6.54
3.53
3.86
4.48
4.81
5.12

38.0
45.0
49.6
54.8
19.1
22.3
25.5
28.0
29.5
30.5
34.2
36.8
41.2
45.6
52.6
52.6
24.1
28.0
29.0
32.2
33.3
35.6
41.2
45.6
52.6
52.6
54.3
16.3
19.9
21.4
23.6
26.3
28.6
31.4
33.9
36.2
38.2
40.1
42.2
33.8
37.3
39.1
42.4
44.8

5.47
5.88
6.37
7.56
3.55
3.85
4.23
4.60
5.03
5.66
6.20
6.85
4.71
5.48
6.01
6.73
7.76
3.19
3.45
3.75
4.12
4.59
5.02
5.74
6.35
7.04
4.44
5.27
5.65
6.17
6.89
7.80
8.52
2.15
2.96
3.19
3.46
3.72
4.03
4.41
4.71
5.24
5.92
6.49
7.16

47.7
49.9
51.9
54.1
23.7
25.7
28.7
31.0
34.3
35.9
38.5
41.7
44.7
47.2
49.6
51.7
54.5
19.7
21.6
23.4
26.2
28.7
32.2
34.5
37.7
40.8
41.6
43.9
46.2
47.8
49.6
51.9
57.5
12.1
17.3
18.9
20.6
22.5
24.4
26.2
28.7
31.8
32.9
36.1
39.4

4.55
5.41
6.03
6.70
7.78
2.51
2.73
2.94
3.18
3.49
3.79
4.14
4.43
4.81
5.31
5.92
6.70
7.53
8.50
4.59
5.18
5.86
6.61
7.66
5.97
6.94
3.86
4.22
4.57
5.44
6.01
6.45
7.05
7.68
4.53
5.00
5.60
6.04
6.70
7.87
9.47
5.04
6.10
7.22
2.19

39.7
42.5
47.1
49.5
52.7
14.2
15.6
17.1
18.6
20.7
22.5
24.8
26.6
28.7
30.6
33.2
35.6
39.2
43.1
39.2
41.9
45.9
49.0
52.0
50.1
54.6
20.6
22.6
25.0
26.1
28.9
31.3
34.1
37.5
32.3
36.4
41.2
43.6
46.9
50.0
53.6
46.3
49.4
53.6
10.4

2.38
2.56
2.76
3.02
3.27
3.58
3.92
4.25
4.65
5.31
5.96
6.41
7.20
8.11
4.71
5.06
5.44
5.98
6.57
5.01
5.73
7.06
5.29
5.92
6.77
7.70
4.98
5.61
6.23
6.93
8.12
6.28
7.97
1.82
1.95
2.09
2.25
2.43
2.62
2.75
2.92
3.10
3.31
3.59
3.89

11.3
12.5
13.8
15.1
16.7
18.0
19.8
22.0
23.9
24.5
27.2
30.0
33.4
37.8
32.4
35.7
38.7
41.1
45.2
44.6
50.9
53.5
24.3
27.0
31.2
35.9
33.0
37.4
41.1
46.5
48.1
51.6
56.8
3.71
4.03
4.39
4.79
5.21
5.66
6.08
6.44
6.89
7.41
8.09
8.84

4.23
4.62
5.06
5.45
5.97
6.54
7.11
7.15
7.80
8.49
9.34
10.2
5.92
6.41
6.97
7.75
6.11
6.75
7.54
6.57
7.41
8.74
5.98
7.46
2.26
2.45
2.66
2.89
3.11
3.37
3.65
4.03
4.46
4.96
5.57
6.17
6.76
7.48
8.22
8.99
9.92
7.82
8.69
6.31
7.00

9.71
10.7
11.6
12.8
13.7
15.3
16.8
17.7
19.3
21.7
23.5
25.9
22.4
25.4
27.5
30.4
30.9
33.6
37.4
39.6
43.1
45.4
48.1
53.3
5.47
5.98
6.35
6.96
7.56
8.23
9.16
10.1
11.2
12.3
13.7
15.9
17.7
18.9
20.7
22.6
24.9
27.0
28.1
26.8
29.6

7.77
6.31
7.41
8.54
4.74
5.72
7.53
8.82
4.17
4.62
5.18
5.86
6.58
7.41
8.15
8.93
6.47
7.53
9.15
5.70
6.56
7.99
5.09
6.08
7.41
9.43
4.43
5.07
5.92
7.21
8.10
9.19
7.03
8.12
6.59
7.95
6.37
7.84
9.61
6.68
8.25
11.5
4.98
7.14
9.16

33.6
36.2
41.8
47.2
41.8
46.2
49.4
54.3
10.4
11.6
13.0
14.8
16.7
18.7
21.2
23.1
22.5
25.0
27.1
29.5
34.0
36.9
35.4
36.9
38.5
46.6
11.1
12.4
15.9
17.6
20.5
22.3
22.3
25.9
27.5
29.9
28.1
29.9
40.5
15.5
19.1
21.6
19.1
21.6
29.2

10.1
5.85
6.94
5.88

29.1
13.7
15.4
10.6

h/tdes

D/t

Ix

Zx

Sx

rx

Iy

31100
27000
24100
20800
50400
41600
34800
32000
29600
28900
25600
23200
21900
19600
16700
14900
29900
24700
24500
21900
20500
19400
17400
15500
13200
11600
9800
50600
39600
36000
32100
28500
25700
23300
21100
19600
17900
16700
15600
16800
15000
13200
12100
11300

1620
1410
1270
1100
2760
2320
1960
1800
1680
1640
1460
1330
1250
1120
964
869
1710
1430
1410
1270
1190
1130
1010
906
774
693
598
2910
2330
2130
1910
1710
1550
1410
1280
1190
1100
1030
963
1040
936
833
767
718

1410
1240
1110
971
2340
1980
1690
1560
1460
1420
1280
1170
1100
993
859
770
1440
1210
1200
1080
1020
971
875
786
675
600
513
2460
1990
1830
1650
1490
1350
1240
1130
1050
972
913
854
895
809
719
664
623

17.8
17.8
17.7
17.5
17.0
16.8
16.6
16.6
16.5
16.5
16.4
16.3
16.4
16.3
16.2
16.0
16.1
15.9
16.0
15.9
15.8
15.8
15.9
15.8
15.7
15.3
15.0
16.2
16.0
15.8
15.7
15.7
15.6
15.5
15.4
15.4
15.3
15.2
15.1
14.9
14.8
14.6
14.6
14.5

1200
1040
923
796
2520
2040
1690
1540
1420
1380
1220
1090
1040
926
803
695
803
644
640
562
521
493
444
390
331
283
229
3230
2490
2250
1990
1750
1570
1420
1300
1200
1090
1010
940
528
468
411
375
347

10500
9760
9040
7800
24300
22000
19500
17700
15900
14200
12900
11600
9290
8160
7450
6710
5900
20700
18700
16800
14900
13100
11700
10300
9200
8230
6680
5770
5360
4930
4470
3990
3610
25600
16200
14600
13100
11900
10800
9700
8910
7860
7020
6310
5660

668
624
581
509
1560
1420
1270
1160
1040
940
857
773
629
559
514
467
415
1450
1320
1190
1060
943
847
751
675
607
500
437
408
378
346
312
283
1890
1240
1130
1030
936
852
772
711
631
570
515
464

581
542
504
439
1350
1240
1110
1020
919
831
759
686
549
487
448
406
359
1250
1140
1040
930
829
748
665
600
541
436
380
355
329
299
269
245
1570
1060
972
887
814
745
677
627
559
505
458
414

14.5
14.4
14.3
14.0
14.6
14.5
14.5
14.4
14.3
14.1
14.1
14.0
13.7
13.5
13.4
13.2
13.0
13.4
13.3
13.2
13.2
13.1
13.0
12.9
12.8
12.7
12.4
12.2
12.1
12.0
11.9
11.7
11.7
12.7
12.2
12.1
12.0
12.0
11.9
11.8
11.8
11.7
11.6
11.5
11.5

320
295
270
225
1620
1460
1290
1160
1040
933
840
749
310
273
246
218
187
1550
1390
1240
1100
959
855
757
673
598
227
196
181
164
146
128
115
2110
1310
1180
1050
953
859
769
704
619
555
497
443

4760
4080
3620
3270
2850
13400
11900
10700
9600
8490
7650
6820
6260
5680
5170
4580
4020
3540
3100
3000
2700
2370
2100
1830
1550
1350
5310
4730
4280
3630
3220
2960
2670
2420
2070
1830
1600
1480
1330
1140
959
1170
984
843
6970

395
343
305
278
244
1130
1020
922
835
744
675
606
559
511
468
418
370
327
289
280
254
224
200
177
153
134
530
476
432
373
333
307
279
253
221
196
172
160
144
126
107
129
110
95.4
754

345
299
267
243
213
957
864
789
718
644
588
531
491
450
414
371
329
291
258
245
222
196
176
154
131
114
461
417
380
329
295
273
249
227
192
171
151
140
127
110
93.0
111
94.5
81.6
624

11.2
11.0
11.0
10.9
10.7
11.1
11.0
10.9
10.8
10.7
10.7
10.6
10.5
10.5
10.4
10.3
10.2
10.1
10.1
10.0
9.87
9.79
9.69
9.55
9.23
9.11
9.47
9.40
9.36
9.17
9.12
9.09
9.05
9.02
8.70
8.67
8.64
8.60
8.54
8.40
8.24
8.36
8.18
8.06
8.72

184
159
139
124
106
1160
1030
919
823
724
651
578
530
479
443
391
340
297
259
119
109
94.4
82.5
70.4
34.5
29.1
542
483
435
376
333
305
274
248
92.9
81.4
70.6
64.7
57.5
48.4
38.7
30.6
24.9
20.7
795

6170
5510
4900
4330
3870
3450
3060
2750
2460
2190
1910
1750
1530
1330
1170
1070
984
890
800
712
612
510
1490
1300
1110
954
758
659
586
518
448
375
301
14300
12400
10800
9430
8210
7190
6600
6000
5440
4900
4330
3840

676
611
549
490
442
398
356
322
290
262
230
211
186
163
146
133
123
112
101
90.7
78.4
66.5
198
175
150
130
105
92.0
82.3
73.0
64.0
54.0
44.2
1660
1480
1320
1180
1050
936
869
801
736
672
603
542

565
514
466
419
380
344
310
282
256
231
204
188
166
146
127
117
108
98.3
88.9
78.8
68.4
57.6
175
155
134
117
92.2
81.0
72.7
64.7
56.5
47.2
38.4
1280
1150
1040
931
838
756
706
656
607
558
506
459

8.61
8.53
8.44
8.35
8.28
8.20
8.12
8.09
8.03
7.90
7.84
7.82
7.77
7.73
7.50
7.49
7.47
7.41
7.38
7.25
7.21
7.04
7.10
7.05
7.00
6.96
6.72
6.68
6.65
6.63
6.51
6.41
6.26
8.17
7.98
7.80
7.63
7.48
7.33
7.26
7.16
7.07
6.98
6.88
6.79

704
628
558
493
440
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
4720
4170
3680
3250
2880
2560
2360
2170
1990
1810
1610
1440

3400
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

487
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

415
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
42.0
35.3
29.0
483
435
393
353
321
292
263
235
209
186
163
145
131
118
107
97.4
87.9
78.0
70.6
64.2
57.7

6.71
6.63
6.55
6.50
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

1290
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
7.00
1190
1050
937
828
742
664
589
517
454
398
345
301
270
241
216
195
174
107
95.8
56.3
50.0

307
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
98.0
82.7
75.3
61.9
48.0
39.6
30.8
53.4
41.4
29.1
32.1
22.1
16.4

57.0
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
26.0
21.6
18.7
16.0
12.6
70.1
59.8
49.0
39.8
34.7
30.4
27.2
23.1
20.4
17.0
13.6
11.4
8.87
18.9
15.0
10.8
11.7
8.30
6.23

51.5
45.6
38.6
33.4
25.4
21.3
17.1
14.9
126
112
98.5
85.9
75.7
66.7
60.0
54.6
49.1
42.1
35.0
32.4
27.9
23.2
18.8
16.2
13.8
10.9
60.4
52.0
43.2
35.5
31.2
27.5
24.3
20.9
18.2
15.2
11.8
9.91
7.81
16.7
13.4
9.72
10.2
7.31
5.56

5.13
5.25
5.21
5.17
4.91
4.82
4.67
4.62
4.66
4.60
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
3.90
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
2.70
2.66
2.56
2.60
2.49
2.47

44.1
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
45.0
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
9.32
4.43
2.99
2.20

14.9
26.3
21.4
11.3

5.73
11.6
9.63
6.28

5.10
10.2
8.55
5.46

2.43
2.17
2.13
1.72

1.99
9.13
7.51
3.86

Zy

Sy

ry

Iz

rz

Sz

236
205
182
157
481
394
328
300
277
270
239
215
204
182
156
137
212
172
170
150
140
132
118
105
88.3
76.0
62.2
581
454
412
368
325
293
265
241
223
204
190
176
137
122
107
97.7
90.7

150
132
117
101
302
249
208
191
177
173
153
138
132
118
101
88.2
130
106
105
93.5
87.1
82.6
74.6
66.1
56.0
47.9
38.8
367
289
263
235
208
188
171
156
144
132
123
114
86.5
77.2
67.5
61.9
57.6

3.49
3.49
3.47
3.43
3.80
3.72
3.65
3.64
3.60
3.60
3.58
3.54
3.58
3.55
3.54
3.45
2.64
2.57
2.58
2.55
2.52
2.52
2.54
2.51
2.49
2.40
2.29
4.10
4.00
3.96
3.92
3.88
3.85
3.83
3.82
3.80
3.76
3.74
3.71
2.65
2.62
2.58
2.56
2.55

74.7
50.9
37.3
24.9
445
277
177
142
116
109
79.4
61.2
51.5
38.1
24.8
18.3
172
105
103
76.6
65.0
56.1
41.3
30.4
19.3
14.0
9.36
593
327
258
194
142
109
84.3
64.3
52.7
41.6
34.7
28.7
52.9
39.6
28.0
22.2
18.5

83.8
77.3
70.9
59.7
312
282
250
226
202
182
164
147
84.4
73.9
66.9
59.5
51.3
310
279
252
223
196
175
155
138
123
68.0
58.4
54.0
49.2
43.9
38.6
34.7
437
279
252
227
206
187
168
154
136
122
109
97.7

53.2
49.1
45.1
37.7
200
181
161
146
131
118
106
95.2
53.9
47.2
42.7
37.9
32.6
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
179
162
146
133
120
108
100
88.1
78.8
70.9
63.5

2.53
2.50
2.47
2.38
3.77
3.74
3.71
3.68
3.66
3.62
3.59
3.56
2.50
2.47
2.43
2.39
2.32
3.67
3.64
3.60
3.58
3.53
3.51
3.49
3.46
3.42
2.28
2.25
2.23
2.19
2.15
2.10
2.09
3.65
3.48
3.45
3.41
3.39
3.36
3.33
3.32
3.29
3.25
3.23
3.20

15.1
12.4
10.1
7.00
148
115
84.4
65.1
48.7
36.2
27.8
20.8
17.7
12.4
9.70
7.37
5.30
173
134
103
75.2
54.1
40.3
28.4
21.0
15.6
14.5
9.72
7.99
6.43
4.99
3.77
2.84
496
170
131
101
79.5
61.6
47.0
37.6
27.1
20.1
15.1
11.3

57.6
49.3
43.4
38.8
33.2
267
238
214
193
171
154
137
126
115
105
93.2
81.5
71.4
62.4
41.5
37.5
32.6
28.6
24.5
15.7
13.3
133
119
108
92.6
82.3
75.6
68.2
61.7
34.7
30.5
26.6
24.4
21.7
18.4
14.9
14.8
12.2
10.2
207

36.8
31.5
27.8
24.8
21.2
170
152
137
124
110
99.4
88.8
81.8
74.3
68.4
60.5
53.0
46.5
40.7
26.5
24.0
20.9
18.4
15.7
9.80
8.30
86.1
77.2
70.0
60.1
53.5
49.2
44.5
40.3
22.1
19.5
17.0
15.7
14.0
11.8
9.52
9.35
7.64
6.37
132

2.21
2.18
2.15
2.12
2.07
3.27
3.23
3.20
3.17
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
1.38
1.34
3.02
3.00
2.99
2.95
2.93
2.92
2.90
2.89
1.84
1.83
1.81
1.80
1.77
1.73
1.66
1.35
1.30
1.26
2.95

11.1
7.33
5.28
4.03
2.81
201
152
117
90.5
66.6
51.3
38.3
30.8
23.9
18.5
13.4
9.50
6.72
4.72
7.07
5.26
3.70
2.68
1.87
1.71
1.18
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
1.24
0.803
1.77
1.14
0.770
176

185
166
149
132
119
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
10.0
8.06
54.9
48.1
41.1
35.5
18.9
16.3
14.5
12.7
10.8
7.03
5.48
816
730
652
583
522
468
434
402
370
338
304
274

118
107
95.8
85.3
76.8
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
7.00
4.49
3.49
527
472
423
378
339
304
283
262
241
221
199
179

2.91
2.88
2.85
2.82
2.79
2.76
2.74
2.72
2.70
2.69
2.66
2.65
2.63
2.61
1.70
1.69
1.68
1.67
1.65
1.29
1.27
1.22
2.51
2.49
2.47
2.46
1.60
1.59
1.57
1.57
1.52
1.17
1.12
4.69
4.62
4.55
4.49
4.43
4.38
4.34
4.31
4.27
4.24
4.20
4.17

134
103
78.7
58.6
44.7
33.8
25.2
19.2
14.5
10.6
7.48
5.86
4.10
2.83
3.49
2.73
2.17
1.66
1.24
1.22
0.810
0.506
7.73
5.45
3.57
2.39
2.22
1.52
1.11
0.794
0.545
0.461
0.262
1450
1120
869
669
514
395
331
273
222
178
136
104

246
221
198
180
163
146
133
113
102
92.7
83.6
75.6
44.8
40.5
36.9
32.8
22.0
19.6
17.3
12.1
10.6
8.99
5.54
4.39
274
244
220
196
177
159
143
126
111
98.0
85.4
75.1
67.5
60.4
54.3
49.2
44.1
32.5
29.1
21.3
19.0

161
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
2.80
177
159
143
127
115
104
93.0
82.3
72.8
64.2
56.0
49.3
44.4
39.7
35.8
32.4
29.1
21.4
19.2
13.9
12.4

4.13
4.10
4.07
4.05
4.02
4.00
3.98
3.76
3.74
3.73
3.71
3.70
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

79.1
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
0.380
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
5.10
3.84
2.93
2.18
2.10
1.58
1.71
1.26

16.8
11.5
9.56
8.17
3.66
2.98
2.26
1.90
69.2
61.0
53.1
45.9
40.1
35.0
31.3
28.3
20.3
17.2
14.0
8.84
7.50
6.10
3.35
2.80
2.30
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
8.56
6.72
4.75
3.39
2.32
1.72

11.0
7.47
6.24
5.34
2.31
1.88
1.41
1.19
45.3
40.0
34.8
30.1
26.4
23.0
20.6
18.7
13.3
11.3
9.20
5.75
4.89
3.97
2.14
1.78
1.45
1.10
21.4
18.3
15.0
12.2
10.6
9.27
6.63
5.63
3.71
3.04
1.70
1.37
1.06
5.61
4.41
3.11
2.20
1.50
1.11

1.94
1.54
1.52
1.51
0.848
0.822
0.773
0.753
2.68
2.65
2.63
2.60
2.59
2.57
2.56
2.54
2.01
1.98
1.94
1.37
1.36
1.33
0.874
0.845
0.810
0.785
2.12
2.10
2.08
2.04
2.03
2.02
1.62
1.61
1.26
1.23
0.876
0.843
0.841
1.52
1.50
1.45
0.967
0.918
0.905

0.906
0.741
0.457
0.300
0.293
0.180
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
0.461
0.240
0.101
0.223
0.0903
0.0405

1.56
5.53
4.58
2.92

1.01
3.63
3.00
1.90

0.890
1.28
1.26
1.00

0.0333
0.316
0.192
0.151

Cw

Wno

Sw1

Sw2

Sw3

Qf

535000
461000
405000
346000
997000
789000
638000
579000
528000
513000
448000
399000
379000
334000
284000
246000
306000
241000
239000
208000
192000
181000
161000
141000
118000
99700
80000
1130000
846000
754000
661000
575000
509000
456000
412000
378000
342000
316000
292000
168000
148000
128000
116000
107000

168
166
165
165
166
161
158
156
155
154
153
151
151
150
149
149
121
118
117
115
115
114
113
112
112
111
110
165
159
157
154
152
150
149
148
147
147
146
145
109
108
108
107
106

1180
1040
928
793
2240
1830
1510
1380
1280
1240
1100
982
940
841
719
628
946
766
754
668
622
589
530
468
395
336
270
2560
1990
1800
1600
1410
1270
1150
1040
960
873
812
756
576
512
446
407
378

278
248
223
192
479
403
341
318
295
289
259
234
225
203
175
153
270
226
225
203
190
182
166
148
126
107
86.7
518
419
383
347
311
282
259
235
219
200
187
175
174
157
136
126
118

98500
90200
82200
68100
459000
408000
357000
319000
281000
251000
224000
198000
82400
71700
64400
56600
48300
366000
324000
287000
250000
215000
190000
166000
146000
129000
49400
42100
38600
34900
30900
26800
24000
443000
255000
226000
199000
178000
159000
141000
128000
111000
98400
87300
77200

105
105
105
104
137
135
133
131
130
130
129
128
93.7
94.1
93.0
92.7
92.5
120
118
117
115
114
112
112
111
110
77.5
76.9
76.8
76.5
76.2
76.2
75.1
111
103
101
99.0
98.5
97.3
96.2
94.8
93.7
93.8
92.8
92.5

349
321
294
245
1260
1130
1010
904
807
726
647
577
329
289
257
228
197
1140
1030
922
816
714
637
556
494
441
240
202
188
171
152
134
119
1500
935
842
745
685
616
550
501
439
393
351
316

109
101
93.1
77.9
287
262
235
214
193
173
156
140
108
94.3
84.6
75.3
65.1
267
244
222
199
176
159
140
125
113
85.8
72.4
67.5
61.5
54.9
48.5
43.7
342
231
211
190
176
160
145
134
119
106
95.5
86.3

32500
27600
24000
21300
17900
186000
161000
142000
125000
108000
96100
84100
76300
68400
62600
54600
47100
40800
35200
16600
15000
12800
11100
9430
4620
3870
62000
54400
48500
41100
36000
32700
29200
26200
9940
8630
7410
6760
5960
4980
3950
3190
2570
2110
76200

66.3
66.6
65.7
65.4
65.2
86.6
84.4
83.1
81.8
80.6
79.5
78.4
78.1
76.9
77.3
76.1
75.9
75.0
74.7
52.9
53.1
52.6
52.2
51.8
40.7
40.5
67.3
66.3
65.5
65.5
64.4
64.3
63.4
63.3
43.5
43.0
42.5
42.2
42.0
41.7
41.0
33.5
33.1
32.9
58.7

182
156
136
122
104
807
707
635
569
502
450
400
371
333
306
268
235
204
179
117
105
91.3
79.8
68.0
42.2
35.8
346
307
276
235
206
191
171
156
85.2
75.0
65.2
59.8
53.2
44.7
35.9
35.8
28.9
24.1
482

68.4
58.4
51.7
46.3
39.8
209
188
172
156
140
127
115
107
97.1
89.2
78.8
69.5
61.0
53.9
48.7
43.8
38.4
33.8
28.9
22.5
19.3
102
91.6
83.7
71.0
62.8
58.7
53.0
48.6
37.7
33.7
29.7
27.4
24.6
20.8
16.9
20.5
16.7
14.0
140

65900
57600
50100
43400
38000
33300
29000
25700
22700
20300
17400
15800
13600
11700
4700
4240
3850
3430
3040
1720
1440
1140
11900
10200
8590
7300
2660
2270
1990
1730
1460
739
565
362000
305000
258000
219000
187000
160000
144000
129000
116000
103000
89100
77700

57.7
56.6
55.5
54.5
53.6
52.5
51.6
50.9
50.7
50.7
49.7
49.2
48.9
48.2
33.8
33.5
33.1
32.9
32.7
26.5
26.1
25.9
41.6
41.4
40.5
39.9
27.9
27.7
27.3
27.1
27.0
21.4
21.1
78.3
75.6
72.8
70.4
68.4
66.3
65.4
64.1
62.9
61.6
60.1
58.9

429
384
343
302
270
238
210
188
170
152
131
119
105
90.1
52.3
47.7
43.5
39.0
34.9
24.3
20.7
16.5
107
94.2
79.3
67.6
35.5
30.8
27.2
24.0
20.3
13.0
10.0
1720
1510
1320
1160
1020
894
830
758
690
624
550
491

127
116
106
94.6
86.0
76.9
69.0
62.8
57.2
50.6
44.3
40.7
36.0
31.5
25.6
23.6
21.7
19.6
17.7
15.1
13.0
10.5
38.7
34.4
29.4
25.5
18.8
16.5
14.7
13.1
11.1
8.94
6.95
318
287
258
232
209
187
176
163
150
138
124
112

67800
59000
51500
45900
40500
35600
31700
25500
22700
20200
18000
16000
6710
5990
5380
4710
2540
2240
1950
1230
1070
887
405
314
57000
48600
42000
35800
31200
27200
23600
20100
17200
14700
12400
10700
9410
8270
7330
6540
5780
3570
3160
1880
1650

58.0
56.8
55.9
55.2
54.5
53.9
53.1
50.2
49.8
49.1
49.0
48.2
33.9
33.9
33.2
33.1
26.7
26.5
26.3
23.0
22.9
22.6
17.0
16.7
46.4
44.8
44.0
42.7
42.0
41.0
40.2
39.2
38.4
37.7
36.9
36.3
36.0
35.4
35.3
34.9
34.5
28.9
28.8
23.4
23.2

439
388
344
312
280
250
224
190
172
154
139
124
73.3
67.1
59.8
53.4
35.5
31.7
27.9
20.0
17.6
14.6
8.95
7.00
460
401
356
313
281
249
222
193
168
146
126
110
98.8
86.6
78.5
70.1
62.6
46.2
41.4
30.2
26.8

102
91.1
81.7
75.0
67.6
61.0
55.4
49.5
45.0
40.7
36.9
33.2
27.6
25.4
22.9
20.6
16.8
15.1
13.4
11.3
10.0
8.34
6.76
5.34
119
107
96.0
85.8
78.3
70.6
64.1
56.5
50.1
44.1
38.6
34.2
30.9
27.4
24.9
22.5
20.2
17.8
16.0
14.3
12.8

1440
879
720
607
164
131
96.9
80.4
6020
5150
4330
3630
3100
2640
2320
2070
1200
992
791
414
345
275
104
85.1
68.3
50.9
1440
1180
931
726
619
530
312
259
152
122
51.8
40.8
30.9
150
113
76.5
38.2
24.7
17.7

22.8
19.6
19.3
19.2
12.0
11.9
11.7
11.6
26.4
25.7
25.3
24.8
24.3
24.0
23.7
23.6
19.0
18.8
18.5
14.5
14.2
14.1
9.85
9.79
9.73
9.56
16.7
16.3
15.8
15.5
15.3
15.1
12.4
12.2
10.4
10.3
7.81
7.74
7.57
9.01
8.78
8.58
5.92
5.75
5.60

23.5
16.8
13.9
11.8
5.12
4.17
3.09
2.59
85.8
74.1
64.4
55.0
47.3
41.3
36.5
33.0
23.6
19.9
16.0
10.7
9.03
7.32
3.91
3.24
2.63
1.99
32.3
27.2
22.0
17.5
15.2
13.2
9.44
7.95
5.47
4.44
2.47
1.97
1.53
6.23
4.82
3.34
2.42
1.61
1.19

11.3
9.75
8.17
7.03
4.76
3.91
2.93
2.48
30.6
26.9
23.5
20.5
17.9
15.7
14.0
12.8
11.3
9.55
7.75
7.02
5.98
4.88
3.65
3.04
2.48
1.91
14.5
12.4
10.3
8.30
7.28
6.35
5.52
4.71
3.96
3.23
2.31
1.86
1.48
3.88
3.07
2.15
2.24
1.52
1.15

15.8
50.9
40.6
14.0

5.55
5.94
5.81
3.87

1.06
3.21
2.62
1.36

1.03
2.42
1.99
1.24

Qw

ro

tan()

Qs

Iw

zA

805
701
630
547
1370
1150
969
891
829
808
720
652
614
551
473
427
848
706
695
622
587
555
495
442
376
336
288
1450
1160
1060
950
847
767
698
635
591
543
509
476
516
464
412
379
355

330
308
287
251
778
707
632
573
515
467
423
382
311
278
253
230
205
722
655
593
529
469
421
372
335
301
248
215
202
187
170
154
139
943
621
563
508
466
424
384
351
312
282
254
229

195
170
151
137
121
568
506
459
416
370
336
302
280
254
233
207
184
163
144
139
126
111
98.9
87.0
75.3
66.1
264
237
215
186
164
153
138
126
109
96.8
85.0
78.7
71.2
61.8
52.3
63.4
53.9
46.8
375

339
306
276
246
222
198
177
160
146
131
114
105
92.4
80.6
72.4
66.3
60.6
55.3
49.9
44.9
38.6
32.7
98.5
87.3
74.4
64.1
52.0
45.6
40.6
36.0
31.6
26.6
21.6
829
739
657
585
522
466
435
401
367
335
300
269

243
216
194
177
159
143
129
116
105
94.8
86.1
77.1
68.2
62.2
56.0
50.2
42.5
38.3
34.0
30.3
26.9
23.1
19.7
16.1
301
267
240
213
193
173
156
136
121
106
92.4
81.0
73.0
64.9
58.9
53.2
47.5
42.4
38.3
35.4
31.7

27.8
25.4
21.3
18.3
14.4
12.2
9.82
8.49
73.5
64.2
55.9
48.4
42.1
36.8
32.8
29.8
27.0
23.0
18.9
18.2
15.4
12.9
10.6
9.14
7.83
6.14
34.8
29.7
24.2
19.7
17.1
15.0
13.4
11.3
10.1
8.37
6.64
5.55
4.29
9.39
7.38
5.32
5.77
4.08
3.04

2.78
5.73
4.74
3.09

zB

zC

wA

wB

wC

SwA

SwB

SwC

SzA

SzB

SzC

rts

ho

PA

4.24
4.20
4.17
4.13
4.63
4.50
4.41
4.38
4.33
4.33
4.27
4.22
4.25
4.21
4.19
4.12
3.30
3.21
3.21
3.16
3.13
3.12
3.11
3.07
3.04
2.98
2.89
4.96
4.80
4.74
4.69
4.61
4.58
4.53
4.53
4.50
4.46
4.42
4.40
3.24
3.21
3.18
3.15
3.13

42.2
42.0
41.9
41.7
39.8
39.3
38.9
38.8
38.6
38.6
38.4
38.2
38.1
38.0
37.8
37.6
39.1
38.7
38.7
38.5
38.4
38.3
38.1
38.0
37.8
37.6
37.4
37.6
36.9
36.6
36.5
36.2
36.0
35.9
35.6
35.5
35.5
35.4
35.2
35.7
35.5
35.3
35.2
35.1

132
131
131
130
130
129
127
126
125
125
124
123
123
122
122
121
116
114
114
113
112
112
111
110
110
109
108
129
127
125
124
123
122
121
121
120
120
120
120
108
108
107
107
106

3.11
3.09
3.06
2.99
4.49
4.44
4.40
4.34
4.31
4.29
4.25
4.21
3.03
3.01
2.98
2.94
2.89
4.37
4.31
4.26
4.22
4.16
4.13
4.11
4.06
4.03
2.77
2.75
2.73
2.70
2.67
2.62
2.60
4.41
4.15
4.10
4.04
4.00
3.96
3.92
3.89
3.85
3.83
3.79
3.76

35.1
35.0
35.0
34.8
33.7
33.5
33.3
33.1
32.9
32.8
32.6
32.6
32.6
32.4
32.3
32.2
32.2
30.8
30.6
30.4
30.2
30.0
29.8
29.6
29.5
29.3
29.5
29.3
29.3
29.2
29.0
29.0
28.9
29.0
27.9
27.7
27.5
27.4
27.2
27.1
26.9
26.8
26.6
26.5
26.4

106
105
105
105
117
116
115
114
113
113
112
111
99.5
99.4
98.5
98.5
97.5
109
108
108
107
106
105
104
104
103
90.5
89.5
89.5
89.3
88.9
88.7
88.1
106
100
100
98.6
98.6
97.7
96.8
95.9
95.0
94.9
95.0
94.0

2.66
2.65
2.62
2.59
2.54
3.92
3.86
3.81
3.76
3.71
3.67
3.62
3.6
3.57
3.57
3.53
3.49
3.46
3.42
2.40
2.40
2.37
2.33
2.30
1.75
1.72
3.55
3.51
3.48
3.46
3.43
3.40
3.37
3.35
2.24
2.21
2.19
2.17
2.15
2.11
2.05
1.68
1.64
1.60
3.53

26.5
26.4
26.3
26.2
26.1
25.3
25.0
24.8
24.6
24.4
24.3
24.1
24.0
23.9
23.8
23.6
23.5
23.5
23.4
23.5
23.4
23.3
23.2
23.1
23.1
23.1
21.4
21.2
21.1
21.0
20.8
20.7
20.6
20.6
20.7
20.6
20.5
20.4
20.4
20.3
20.2
20.5
20.3
20.3
19.6

83.0
82.7
82.1
81.8
81.5
93.3
91.5
90.6
89.7
88.8
88.9
88.0
88.0
86.7
86.7
85.9
85.6
85.0
84.7
74.0
73.9
73.5
73.0
72.6
66.8
66.6
81.1
80.4
79.8
79.4
78.6
78.5
77.9
77.8
66.5
66.0
65.5
65.3
65.1
64.7
64.1
60.2
59.6
59.3
76.7

3.47
3.42
3.37
3.32
3.28
3.24
3.20
3.17
3.13
3.13
3.10
3.08
3.05
3.02
2.05
2.03
2.02
2.00
1.98
1.58
1.56
1.51
2.92
2.88
2.85
2.82
1.92
1.89
1.87
1.86
1.83
1.42
1.38
5.68
5.57
5.44
5.35
5.26
5.17
5.11
5.05
5.00
4.95
4.87
4.80

19.4
19.2
19.0
18.8
18.7
18.4
18.3
18.2
18.1
17.9
17.8
17.7
17.6
17.5
17.7
17.7
17.5
17.5
17.4
17.5
17.4
17.3
16.0
15.9
15.7
15.6
15.7
15.7
15.5
15.5
15.5
15.5
15.4
17.5
17.1
16.7
16.4
16.1
15.8
15.7
15.5
15.2
15.0
14.8
14.6

75.8
75.1
74.3
73.4
72.7
71.7
71.0
70.4
70.2
69.9
69.1
68.7
68.4
67.9
58.3
58.0
57.5
57.3
57.1
52.9
52.6
52.1
63.3
63.1
62.3
61.7
52.6
52.3
52.0
51.7
51.5
47.2
46.7
91.1
89.3
87.6
85.8
85.0
83.2
82.7
81.8
81.0
80.1
79.0
78.1

4.75
4.69
4.64
4.59
4.55
4.51
4.47
4.23
4.20
4.17
4.14
4.10
2.85
2.83
2.80
2.78
2.22
2.20
2.18
1.82
1.80
1.77
1.30
1.27
4.13
4.05
4.00
3.93
3.87
3.81
3.77
3.70
3.66
3.61
3.56
3.52
3.49
3.46
3.43
3.41
3.38
2.81
2.79
2.25
2.23

14.5
14.3
14.1
14.1
13.9
13.8
13.7
13.7
13.6
13.4
13.4
13.3
13.4
13.4
13.3
13.3
13.2
13.2
13.2
13.6
13.5
13.4
13.5
13.4
13.8
13.6
13.4
13.2
13.0
12.8
12.7
12.4
12.3
12.2
12.0
11.9
11.8
11.7
11.7
11.6
11.5
11.6
11.5
11.6
11.5

77.4
76.5
75.8
75.3
74.8
74.3
73.7
71.2
70.9
70.3
70.2
69.6
56.9
56.8
56.2
56.0
50.2
50.0
49.8
47.2
47.0
46.6
41.7
41.3
69.2
67.9
67.0
66.0
65.3
64.4
63.8
62.9
62.1
61.4
60.7
60.2
59.9
59.2
59.1
58.7
58.4
52.6
52.5
47.0
46.8

2.21
1.79
1.77
1.75
1.04
1.02
0.983
0.961
3.08
3.04
2.99
2.95
2.92
2.88
2.85
2.84
2.27
2.24
2.20
1.60
1.58
1.55
1.06
1.04
1.01
0.983
2.43
2.39
2.35
2.31
2.28
2.26
1.84
1.81
1.46
1.43
1.06
1.03
1.01
1.74
1.70
1.66
1.13
1.08
1.06

11.4
12.0
11.9
11.8
11.9
11.9
11.7
11.7
10.2
10.0
9.81
9.73
9.63
9.52
9.49
9.44
9.48
9.39
9.30
9.99
9.86
9.84
9.81
9.77
9.72
9.66
8.07
7.94
7.82
7.69
7.63
7.57
7.60
7.53
7.88
7.81
7.80
7.74
7.69
5.93
5.84
5.73
5.88
5.75
5.69

46.4
43.5
43.1
42.9
35.7
35.5
35.0
34.8
51.6
50.9
50.4
49.9
49.3
49.0
48.6
48.5
42.7
42.3
41.9
37.3
36.8
36.6
31.5
31.2
31.0
30.7
41.0
40.5
39.9
39.3
39.0
38.8
34.5
34.2
31.3
31.0
27.3
27.0
26.8
29.9
29.5
29.1
23.7
23.2
22.9

1.05
1.45
1.43
1.16

5.64
4.72
4.65
3.82

22.8
24.4
24.0
19.5

PB

148
147
147
146
147
145
143
142
141
141
140
139
139
138
138
137
128
126
126
125
124
124
123
122
122
121
120
147
144
142
141
140
139
138
138
137
137
136
136
120
120
119
119
118

118
117
117
117
133
132
131
130
129
129
128
127
111
111
110
110
109
125
124
123
122
121
120
119
119
118
101
100
100
99.8
99.4
99.2
98.5
121
115
115
113
113
112
111
110
109
109
109
108

93.0
92.8
92.1
91.8
91.5
107
105
104
103
102
102
101
101
99.6
99.7
98.8
98.5
97.8
97.5
83.0
83.0
82.5
82.0
81.6
73.8
73.6
93.7
92.9
92.2
91.9
91.0
90.9
90.2
90.1
74.9
74.4
73.8
73.6
73.3
72.9
72.2
66.8
66.1
65.8
88.7

87.7
86.9
86.0
85.0
84.2
83.1
82.3
81.6
81.4
81.2
80.3
79.8
79.5
78.9
65.9
65.6
65.1
64.8
64.6
59.0
58.6
58.1
73.7
73.5
72.6
71.9
59.7
59.4
59.0
58.7
58.5
52.7
52.2
109
107
105
103
102
100
99.4
98.4
97.5
96.5
95.2
94.2

93.4
92.4
91.6
91.0
90.5
89.9
89.2
85.9
85.6
84.9
84.8
84.1
67.0
66.9
66.2
66.0
58.3
58.0
57.8
54.0
53.7
53.3
46.7
46.3
82.6
81.1
80.1
79.0
78.2
77.2
76.5
75.5
74.6
73.8
73.0
72.4
72.1
71.3
71.2
70.7
70.4
62.6
62.5
55.1
54.9

54.4
50.1
49.6
49.4
39.7
39.5
39.0
38.8
62.0
61.2
60.7
60.1
59.4
59.1
58.6
58.5
50.7
50.3
49.9
43.1
42.6
42.4
35.5
35.2
35.0
34.7
49.3
48.7
48.0
47.4
47.0
46.8
41.0
40.7
36.6
36.3
31.3
31.0
30.7
36.0
35.5
35.1
27.7
27.2
26.8

26.7
29.4
29.0
23.6