Hss Wf Moment Conn 2.0 Final 1

December 2, 2017 | Author: amachmouchi | Category: Structural Steel, Beam (Structure), Column, Screw, Materials
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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 #

0

plate t = plate b =

5/16 10

Results pl force Ra = plate L =

38 k 22 in

Tensile yielding of through plate Rn/Ω =

67 k

Ra/(Rn/Ω) =

0.57

Tensile rupture of through plate Rn/Ω =

75 k

Ra/(Rn/Ω) =

0.51

Ra/(Rn/Ω) =

0.60

Compressive yielding and buckling of through plate Rn/Ω = 64 k Bolt shear Rn/Ω =

48 k

Ra/(Rn/Ω) =

0.80

Bolt bearing on through plate total Rn/Ω =

45 k

Ra/(Rn/Ω) =

0.85

Bolt bearing on beam flange total Rn/Ω =

90 k

Ra/(Rn/Ω) =

0.42

Block shear rupture of through plate Rn/Ω = 51 k

Ra/(Rn/Ω) =

0.75

Block shear rupture of beam flange Rn/Ω = 85 k

Ra/(Rn/Ω) =

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/Ω =

0 0

Project #

0

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/Ω) =

0.52

Beam flange local bending Rn/Ω =

26 k

Ra/(Rn/Ω) =

1.17

Beam web local yielding Rn/Ω =

54 k

Ra/(Rn/Ω) =

0.56

Beam web crippling Rn/Ω =

37 k

Ra/(Rn/Ω) =

0.82

HSS wall local yielding Rn/Ω =

70 k

Ra/(Rn/Ω) =

0.43

HSS wall local crippling Rn/Ω =

154 k

Ra/(Rn/Ω) =

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 #

0

Pa =

14

Ra/(Rn/Ω) =

0.80

Results Ma =

20 k-ft

Local yielding of beam flange Rn/Ω =

18 k

HSS shear yielding/punching Rn/Ω = N/A k check not required due to bfB-2t Local yielding of HSS sidewalls Rn/Ω = N/A k check not required due to β ≠ 1.0 Local crippling of HSS sidewalls Rn/Ω = N/A k check not required due to β ≠ 1.0 Weld type of weld

fillet 3/16 in fillet weld

Connection has adequate moment capacity

Date: By:

11/4/2015

Date: By:

k

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 =

0

8

5

5

5

0

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

5

16.25

5

5

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 =

0

5

0

3.75

0

0

Parameters Column Fy =

column 50

H=

8

Beam Fy =

50

B=

8

Plate Fy =

36

D= t=

0.5

Column Fu =

65

Beam Fu =

65

controlling dim =

8

Plate Fu =

58

opp dim =

8

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 =

4

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 φPn = 73.956684

Pn = 102.71762 Pn/Ω = 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

φRn =

81 k

Rn/Ω =

67 k

tensile rupture of through plate tp = 0.3125 Rn = FuAe An =

2.58 in2

Ae =

2.58 in2

Rn =

150 k LRFD

φRn =

ASD 112 k

Rn/Ω =

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 φRn =

ASD Rn/Ω =

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 totalφRn = 67 k

total Rn/Ω =

45 k

bolt bearing on beam Lc,end = Rn, end = Lc, int = Rn, int = total Rn = totalφRn =

total Rn/Ω =

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

φRn =

ASD 76 k

Rn/Ω =

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

φRn =

ASD 127 k

Rn/Ω =

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 =

0

8

Mconn =

141 k 12 k-ft

50.6

LC7

LC8

LC9

LC10

-25.5

-22.5

-19.8

-15.8

16.25

16.25

3

3

75

75

18

18

33.75

33.75

9

9

40

37.5

37.5

9

9

45

65.75

68.75

1.2

5.2

97

3.75

3.75

0

0

5 33

beam bf =

6.73

Vconn =

97

d= tf =

13.8

Mconn =

8

3

0.385

3/4

Ru/φRn = Ra/(Rn/Ω) =

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

1

0.785

1.25

1.0625

Selected Shapes HSS16X16X5/8

HSS14X14X5/8

bolt d

A

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

7

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

4

7

7

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

5

30 32 32 34 34

5 5 5 5 5

36 36

5 5

38

5

38 40 40 44

5 5 5 5

44 44 44 48

5 5 5 5

48

5

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

3

10.5

3

3

-4.5

-14.625

-4.5

-4.5

Parameters Column Fy =

column 50

H=

8

Beam Fy =

50

B=

8

Plate Fy =

36

D= t=

0.313

Column Fu =

65

A=

9.37

Beam Fu =

65

controlling dim =

8

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 ρ= 0.745 β= 1.755 p= 3.185 δ= 0.745 α' = 1 tmin = 0.44 in tc = 0.883 in α= 0.303 q= 1.773 k prying on cap plate b= a= ρ= β= p= δ= α' = tmin = tc = α= 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

β=

1.750

α' tmin tc α q

= = = = =

1 0.441 in 0.884 in 0.309 1.203 k

b' = a' =

1.125 in 1.875 in

β=

2.172

α' tmin tc α q

= = = = =

0.3091062

1 0.464 in 0.927 in 0.674 1.706 k

0.6736178 q max =

bolt tension strength Φrn =

29.82 k/bolt

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

rn/Ω =

19.88 k/bolt

Pa =

30 k

Rn/Ω =

26 k

1.71

ΦRn =

81 k

Rn/Ω =

54 k

2.81 in 0.16 74 k 55 k

Rn/Ω =

37 k

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

Rn/Ω =

70 k

HSS wall local crippling Rn = 308 k ΦRn = 231 k

Rn/Ω =

154 k

beam web crippling lb = lb/d = Rn = ΦRn =

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 =

k

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/φRn =

d= tf =

17.9

Ra/(Rn/Ω) =

0.525

tw =

0.315

Tu/φrn =

k=

0.927

Ta/(rn/Ω) =

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

1

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

A

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 θ 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 = β=

ASD 29 k-ft 20 k 0.50

Ma = Pa =

Local yielding of beam flange Rn = 28.0 k ΦRn = 26.6 k HSS shear yielding/punching 10.2 ≤ Bep = Rn = N/A ΦRn = N/A

Rn/Ω =

6



20 k-ft 14 k

17.7 k

11.302

1.75 k k

Rn/Ω = N/A

k

Local yielding of HSS sidewalls lb = 2.17 Rn = N/A k ΦRn = N/A k

Rn/Ω = N/A

k

Local crippling of HSS sidewalls lb = 2.17 Fc = 46 U= 0.170 Qf = 1.000 Φ= 0.75 Rn = N/A ΦRn = N/A k HSS local yielding Fc = U= Qf =

46 0.170 0.940

Ω=

27.6 0.180 1.000 2.00

N/A Rn/Ω = N/A

k

27.6 0.180 0.936

Rn = N/A ΦRn = N/A

k

controlling check = weld CJP

N/A Rn/Ω = N/A

0.80

controlled by base metal Pn = 127.5 k ΦPn = 115 k

PJP

k

14.101302 Pn/Ω =

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 =

6

d= tf =

17.7 0.425

tw =

0.3

k=

0.827

k1 =

3/ 4

Ru/φRn = Ra/(Rn/Ω) = Tu/φrn = Ta/(rn/Ω) = ≤ ≥

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

1

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

A

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

A

d

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

F

2.27

0.625





Ht

h

OD

bf

bfdet

B

b

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

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tfdet

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –















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k1

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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0.140

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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

J

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

C

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

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –















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

H

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

H

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

I

S

r

Z

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

I

S

r

Z

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

I

S

r

Z

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

I

S

r

Z

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

C

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

I

S

r

Z

J

C

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

C

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

W

A

d

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

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8 8 4 8 8

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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

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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

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8 4 4 4 8 4 8 8

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

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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

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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

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

– – – –

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3.94 5.03 5.00 4.06

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– – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – –

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

x

y

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

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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

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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

J

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

C

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

H

tan(α)

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

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