1120045 321 Chapter 5 Splice Design 5k1c6n

SPLICE CONNECTION Project No. CIMPOR Dept. 321 321-SC-02-1.0 Doc. No.

Designed By

VPV

Date

12.10.2012

Checked By Approved By

RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.

End Plate Type Splice Connection - End Plate Welded to column & two end plate Bolted at splice location REFER DWG. 321-657-DETAIL D (635) SPLICE DESIGN CONNECTION BY LRFD METHOD Load From Beam 1-PG1 Shear Fy,Sd = 31 kN Shear Fz,Sd = 0 kN Resultant Shear , FvSd = Axial Compression Fxc, Sd = Axial Tension Fxt, Sd = Bending Moment, MzSd =

31.00 kN 10923.00 0.00 kN 0 kNm

Bending Moment, MySd =

0 kNm 0.00 kN 0.00 kN

Additional pull/push due to Bending moment ,Mz = Additional pull/push due to Bending moment ,My = Upper Column PG1 6 mm fillet weld all around

450 x 260 x 36 thick A36 Grade plate 60 10mm stiffener 450 x 260 x 36 thick A36 Grade plate

s1

s2

8-20 dia A8.8 Grade bolts

s2

Lower Column PG1

450 x 260 x 36 thick A36 Grade plate

s3 END PLATE TYPE SPLICE CONNECTION NOTES: All structural steel as per IS2062 All connection material such as plates, bars, angles & channels are as per ASTM A36/36M. Sketch shown for connection is indicative only. SECTION PROPERTIES : Lower Column Member = PG1 2 Grade of beam Fym= 250 N/mm Depth (h) = 1100.0 mm Flange Width (b) = 450.0 mm 36.0 mm Flange Thickness (tf) = 36.0 mm Web thickness (tw) = Clear Depth of web (dm)= 1028.0 mm 0.0 mm Root Radius (r) = 694.1 cm2 Area of section (A) =

Upper Column Member = PG1 2 Grade of beam Fyc= 250 N/mm Depth (hc) = 1100.0 mm Flange Width (bc) = 450.0 mm 36.0 mm Flange Thickness (tfc) = 36.0 mm Web thickness (twc) = Clear Depth of web (dc)= 1028.0 mm Root Radius (rc) = 0.0 mm Area of section (Ac) = 694.1 cm2

INPUT FOR BOLT AND PLATE SIZE: Grade of Bolt Used = A Bolt dia. (db) = Dia. of hole (dh)= No. of bolt rows (nr) = No. of columns of bolt (nc) = Total number of bolts (N) =

8.8 20 mm 22 mm 4 2 8

Grade of Plate Used = Thk. of Bottom/ Top plate Width of plate Depth/length of plate = Guage (horizontal distnace) Pitch (vertical distance ) Pitch (vertical distance ) Pitch (vertical distance ) Vertical Edge distance = Horizontal Edge distance =

tp = wp = Dp = p= s1 = s2 = s3 = lv = lh =

A36 36 450 260.0 60 60 60 60 40 40

mm mm mm mm mm mm mm mm mm

SPLICE CONNECTION Project No. CIMPOR Designed By Dept. 321 Checked By 321-SC-02-1.0 Doc. No. Approved By MATERIAL PROPERTIES : INPUT DATA : A) CONNECTION PLATE Grade Yield Strength Of Rolled Member Minimum Specified Tensile Stress Permissible Bending Stress B) BOLTS 1) Grade Of Material Used For Bolt

VPV

Date

12.10.2012

RMM KKM

Date Date

12.10.2012 12.10.2012

= = = =

Fyp Fup Fbp

A

8.8

A36 240 N/mm2 400 N/mm2 216 N/mm2

LRFD METHOD

M

a)

Yield Stress

Fyb

=

640 N/mm2

b)

Minimum Specified Tensile Stress

Fub

=

800 N/mm2

PITCH & EDGE DISTANCE BOLT DIA MIN.PITCH mm mm 20 50 C) WELDS Welding Electrodes Permissible Stress

MIN.EDGE DISTANCE mm 30

(Ref NBR8800:2008,Table A.4, Page No. 110) = E 60 XX 2 = 415 N/mm Fw

Design Check 1 Bearing Check for Bolt Hole Dia. Of the bolt used No of bolts used for the bearing

= =

20 mm 8

Allowable bearing strength per Bolt shall be minimum value of following two cases: = (1/γa2) x 3.0 x Fup x db x tp 1. Allowable bearing strength = (Ref NBR8800:2008,CL.6.3.3.3, Page No. 78) 2.22 x Fup xdb x tp x N/1000 = (where ,γa2 =1.35 ) 2.22 x 400 x 20 x 36 x 8/1000. = 5115 KN = 2. Allowable bearing strength (1/γa2) x 1.5 x Fup x Lc x tp x nc = (Ref NBR8800:2008,CL.6.3.3.3, Page No. 78) 1.11 x Fup x Lc x tp x nc = (where ,γa2 =1.35 ) 1.11 x 400 x (260-(4 x 20)) x 36 x 2/1000 = 5754 KN = Therefore Allowable bearing strength 5115 KN 5115 31.0 KN > Hence ok 2 Shear Check for Bolt Bolts are in single / double shear Cross sectional area of the bolt Shear Capacity per Bolt (Ref NBR8800:2008,CL.6.3.3.2 a, Page No. 77)

= = = = = =

SINGLE

314 sqmm (1/γa2) x Fnv x Ab (0.4/1.35) x Fub x Ab 0.296 x Fub x Ab (0.296 x 800 x 314)/1000 = 74.4 KN = Total shearing force carryiong capacity Fv,Rd 595.2 KN 595.2 31.0 KN > Hence ok

(where ,γa2 =1.35 ) (Fnv = 0.40 x Fub)

Page No.


VPV Date 12.10.2012 Page No. RMM Date 12.10.2012 Checked By KKM Date 12.10.2012 Approved By 3 check for Tensile Capacity of Bolt Assuming pure tension resist equally by all bolts and axial tension due to moment is resist by only the bolts near flange of column. Therefore Tension on each bolt due to pure axial force = 0.0 kN And Tension due to moment MzSd in bolt near flange = 0.0 kN And Tension due to moment MySd in bolt near flange = 0.0 kN Maximum tensile force in one bolt 0 kN = Effective Cross Sectional Area of Bolts = Abe 0.75 x Ab = 235.5 sqmm = (where ,γa2 =1.35 ) Tension Capacity per Bolt = (1/γa1) x Fub x Abe = (Ref NBR8800:2008,CL.6.3.3.1, Page No. 77) (0.75 x 800 x 235.5)/1000 = Tensile force carrying of capacity of one bolt 141.3 KN = Ft,Rd 141.3 KN = 141.3 0.00 KN > Hence ok Designed By

4 Check for Combined Tension and Shear force Check for intraction of Combined Tension and Shear force (Ref NBR8800:2008,CL.6.3.3.4, Page No. 78) = { Ft,Sd/Ft,Rd}2 + { Fv,Sd/Fv,Rd}2 { 0 / 141.3}^2 + { 31 / 595.2}^2 = 0.00 = 0.00 1 < Hence ok 5 Shearing strength of plate Thickness of Plate Assumed tp Depth of plate Dp Effective Depth bn = Dp-(dh x nr) Gross area of plate Ag = tp x Dp Net area of plate An = tp x bn Shear Capacity of Plate = (Ref NBR8800:2008,CL.6.5.5 a & b, Page No. 87) (where ,γa1 =1.10 & γa2 =1.35 )

= = = = = = = = =

36 mm 260 mm 172 mm 9360 mm2 6192 mm2 min of ((1/γa1) x 0.6 x Fyp x Ag & (1/γa2) x 0.6 x Fup x An) min of (0.545 x Fyp x Ag & 0.444 x Fup x An min of{(0.545 x 240 x 9360) &(0.444 x 400 x 6192)} x 2/1000 2199.4 KN 2199.4 31 KN > Hence ok

6 Block Shear of Plate min of { (1/γa2)(0.6 x Fup x Anv)+(Cts x fup x Ant), Resistance to block shear (Rbs) = (Ref NBR8800:2008,CL.6.5.6, Page No. 87) & (1/γa2) (0.6 x Fyp x Agv)+(Cts x fup x Ant) } Ant = (lh - dh/2) x tp = (40-( 22/2) ) x36= 1044 mm2 Agv = (lv + (N -1) x s) x tp = (40+( 4-1)x60) x 36= 7920 mm2 Anv = (lv + (N -1) x (s - dh) - dh/2)) x tp = {40+(4-1)x38-11} x 36= 5148 mm2 Ubs = 1 (1 for uniform stresses and 0.5 for non uniform stresses) Resistance to block shear (Rbs) = min of{(0.44 x 400 x 5148) + (0.74 x 1 x 400 x 1044)} x 2/1000 & {(0.44 x 240 x 7920) + (0.74 x 1 x 400 x 1044)} x 2/1000 = 2291 KN 2291 31 KN > Hence ok


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

7 Check for Thickness of plate from Vertical bending point of view. 60

s1 s1 s2 s2

b

s3

Mininum tp required = tpmin required =

6.0 x T x b

a

= SQRT{ (6.0 x 0 x 1000 x(60 - 36)/2) / (216 x 225) }

Dp x Fup =

0.0 mm

< Hence ok

36.0 mm

8 Check for Weld Strength between column web and End plate Height of Web = 1028.0 mm = Weld length available ( lw) 2056 mm = Thickness of the weld used (w) 6 mm = Total load carrying capacity of the weld required 31 KN Total load carrying capacity of the weld

=

(1/γw2) x 0.60 x fw x Aw

(Ref AISC 13th Ed. Eq. J2-4 ,

=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =

(0.44 x 415 x 2056 x 6 x 0.707 )/1000 1592.6 KN 1592.6 31.0 KN > Hence ok

9 Check for Weld Strength between column flange and End plate Width of Flange = 450.0 mm = Weld length available ( lw) 900 mm = Thickness of the weld used (w) 6 mm = Total load carrying capacity of the weld required 0 KN Total load carrying capacity of the weld

=

(1/γw2) x 0.60 x fw x Aw


=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =


Page No.


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.

SUMMARY END PLATE TYPE SPLICE CONNECTION Single plate welded to Main beam and bolted to connecting beam Top End Plate Size : (wp x Dp x tp) :


Bottom End Plate Size : (wp x Dp x tp) :


Bolt Dia And No.


Size of Weld (w): Column web to End plate

6 mm

Column Flange to End plate

6 mm

Guage Distance (p) :

60 mm

Pitch Distance (s1) : Pitch Distance (s2) : Pitch Distance (s3) :

60 mm 60 mm 60 mm

Horizontal Edge Distance (lh) : Vertical Edge Distance (lv) :

40 mm 40 mm

Upper Column PG1 6 mm fillet weld all around 60 mm 450 x 260 x 36 thick A36 Grade plate

s1 10mm stiffener 450 x 260 x 36 thick A36 Grade plate 8-20 dia A8.8 Grade bolts Lower Column PG1


s2 s2 s3


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.

End Plate Type Splice Connection - End Plate Welded to column & two end plate Bolted at splice location REFER DWG. 321-657-DETAIL E (635) SPLICE DESIGN CONNECTION BY LRFD METHOD Load From Beam 1-PG1 Shear Fy,Sd = 2117 kN Shear Fz,Sd = 112 kN Resultant Shear , FvSd = Axial Compression Fxc, Sd = Axial Tension Fxt, Sd = Bending Moment, MzSd =

2119.96 kN 3387.00 0.00 kN 639 kNm


37 kNm 600.56 kN 411.11 kN



s1 s2


s2

Lower Column PG1





8.8 30 mm 33 mm 11 2 22


tp = wp = Dp = p= s1 = s2 = s3 = lv = lh =

A36 25 450 1020.0 90 90 90 90 60 60



VPV

Date

12.10.2012

RMM KKM

Date Date

12.10.2012 12.10.2012

= = = =

Fyp Fup Fbp

A

8.8

A36 250 N/mm2 400 N/mm2 225 N/mm2

LRFD METHOD

M

a)

Yield Stress

Fyb

=

640 N/mm2

b)


Fub

=

800 N/mm2





= =

30 mm 22


= = = = = =

SINGLE

707 sqmm (1/γa2) x Fnv x Ab (0.4/1.35) x Fub x Ab 0.296 x Fub x Ab (0.296 x 800 x 706.5)/1000 = 167.3 KN = Total shearing force carryiong capacity Fv,Rd 3680.6 KN 3680.6 2120.0 KN > Hence ok

(where ,γa2 =1.35 ) (Fnv = 0.40 x Fub)

Page No.


VPV Date 12.10.2012 Page No. RMM Date 12.10.2012 Checked By KKM Date 12.10.2012 Approved By 3 check for Tensile Capacity of Bolt Assuming pure tension resist equally by all bolts and axial tension due to moment is resist by only the bolts near flange of column. Therefore Tension on each bolt due to pure axial force = 0.0 kN And Tension due to moment MzSd in bolt near flange = 150.1 kN And Tension due to moment MySd in bolt near flange = 37.4 kN Maximum tensile force in one bolt 187.51 kN = Effective Cross Sectional Area of Bolts = Abe 0.75 x Ab = 529.9 sqmm = (where ,γa2 =1.35 ) Tension Capacity per Bolt = (1/γa1) x Fub x Abe = (Ref NBR8800:2008,CL.6.3.3.1, Page No. 77) (0.75 x 800 x 529.875)/1000 = Tensile force carrying of capacity of one bolt 317.9 KN = Ft,Rd 317.9 KN = 317.9 187.51 KN > Hence ok Designed By

4 Check for Combined Tension and Shear force Check for intraction of Combined Tension and Shear force (Ref NBR8800:2008,CL.6.3.3.4, Page No. 78) = { Ft,Sd/Ft,Rd}2 + { Fv,Sd/Fv,Rd}2 { 187.51 / 317.9}^2 + { 2119.96 / 3680.6}^2 = 0.68 = 0.68 1 < Hence ok 5 Shearing strength of plate Thickness of Plate Assumed tp Depth of plate Dp Effective Depth bn = Dp-(dh x nr) Gross area of plate Ag = tp x Dp Net area of plate An = tp x bn Shear Capacity of Plate = (Ref NBR8800:2008,CL.6.5.5 a & b, Page No. 87) (where ,γa1 =1.10 & γa2 =1.35 )

= = = = = = = = =


6 Block Shear of Plate min of { (1/γa2)(0.6 x Fup x Anv)+(Cts x fup x Ant), Resistance to block shear (Rbs) = (Ref NBR8800:2008,CL.6.5.6, Page No. 87) & (1/γa2) (0.6 x Fyp x Agv)+(Cts x fup x Ant) } Ant = (lh - dh/2) x tp = (60-( 33/2) ) x25= 1087.5 mm2 Agv = (lv + (N -1) x s) x tp = (60+( 11-1)x90) x 25= 24000 mm2 Anv = (lv + (N -1) x (s - dh) - dh/2)) x tp = {60+(11-1)x57-16.5} x 25= 15338 mm2 Ubs = 0.5 0.5 (1 for uniform stresses and 0.5 for non uniform stresses) Resistance to block shear (Rbs) = min of{(0.44 x 400 x 15337.5) + (0.74 x 0.5 x 400 x 1087.5)} x 2/1000 & {(0.44 x 250 x 24000) + (0.74 x 0.5 x 400 x 1087.5)} x 2/1000 = 5441 KN 5441 2120 KN > Hence ok


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012


s1 s1 s2 s2

b

s3


6.0 x T x b

a

= SQRT{ (6.0 x 187.51 x 1000 x(90 - 36)/2) / (225 x 225) }

Dp x Fup =

24.5 mm

< Hence ok

25.0 mm


=

(1/γw2) x 0.60 x fw x Aw


=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =



=

(1/γw2) x 0.60 x fw x Aw


=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =


Page No.


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.





Bolt Dia And No.



8 mm


8 mm


90 mm


90 mm 90 mm 90 mm


60 mm 60 mm




s2 s2 s3


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.

End Plate Type Splice Connection - End Plate Welded to column & two end plate Bolted at splice location REFER DWG. 321-657-DETAIL E (635) SPLICE DESIGN CONNECTION BY LRFD METHOD Load From Beam 1-PG1 Shear Fy,Sd = 54 kN Shear Fz,Sd = 113 kN Resultant Shear , FvSd = Axial Compression Fxc, Sd = Axial Tension Fxt, Sd = Bending Moment, MzSd =

125.24 kN 1292.00 0.00 kN 178 kNm


331 kNm 167.29 kN 2206.67 kN



s1 s2


s2

Lower Column PG1





8.8 30 mm 33 mm 6 4 24


tp = wp = Dp = p= s1 = s2 = s3 = lv = lh =

A36 50 450 570.0 150 90 90 90 60 60



VPV

Date

12.10.2012

RMM KKM

Date Date

12.10.2012 12.10.2012

= = = =

Fyp Fup Fbp

A

8.8

A36 250 N/mm2 400 N/mm2 225 N/mm2

LRFD METHOD

M

a)

Yield Stress

Fyb

=

640 N/mm2

b)


Fub

=

800 N/mm2





= =

30 mm 24


= = = = = =

SINGLE


(where ,γa2 =1.35 ) (Fnv = 0.40 x Fub)

Page No.


VPV Date 12.10.2012 Page No. RMM Date 12.10.2012 Checked By KKM Date 12.10.2012 Approved By 3 check for Tensile Capacity of Bolt Assuming pure tension resist equally by all bolts and axial tension due to moment is resist by only the bolts near flange of column. Therefore Tension on each bolt due to pure axial force = 0.0 kN And Tension due to moment MzSd in bolt near flange = 41.8 kN And Tension due to moment MySd in bolt near flange = 367.8 kN Maximum tensile force in one bolt 409.6 kN = Effective Cross Sectional Area of Bolts = Abe 0.75 x Ab = 529.9 sqmm = (where ,γa2 =1.35 ) Tension Capacity per Bolt = (1/γa1) x Fub x Abe = (Ref NBR8800:2008,CL.6.3.3.1, Page No. 77) (0.75 x 800 x 529.875)/1000 = Tensile force carrying of capacity of one bolt 251 KN = Ft,Rd 251 KN = 251 409.60 KN < BOLT UNSAFE IN TENSION Designed By

4 Check for Combined Tension and Shear force Check for intraction of Combined Tension and Shear force (Ref NBR8800:2008,CL.6.3.3.4, Page No. 78) = { Ft,Sd/Ft,Rd}2 + { Fv,Sd/Fv,Rd}2 { 409.6 / 251}^2 + { 125.24 / 4015.2}^2 = 2.66 = 2.66 1 > BOLT UNSAFE IN COMBINED TENSION AND SHEAR 5 Shearing strength of plate Thickness of Plate Assumed tp Depth of plate Dp Effective Depth bn = Dp-(dh x nr) Gross area of plate Ag = tp x Dp Net area of plate An = tp x bn Shear Capacity of Plate = (Ref NBR8800:2008,CL.6.5.5 a & b, Page No. 87) (where ,γa1 =1.10 & γa2 =1.35 )

= = = = = = = = =


6 Block Shear of Plate min of { (1/γa2)(0.6 x Fup x Anv)+(Cts x fup x Ant), Resistance to block shear (Rbs) = (Ref NBR8800:2008,CL.6.5.6, Page No. 87) & (1/γa2) (0.6 x Fyp x Agv)+(Cts x fup x Ant) } Ant = (lh - dh/2) x tp = (60-( 33/2) ) x50= 2175 mm2 Agv = (lv + (N -1) x s) x tp = (60+( 6-1)x90) x 50= 25500 mm2 Anv = (lv + (N -1) x (s - dh) - dh/2)) x tp = {60+(6-1)x57-16.5} x 50= 16425 mm2 Ubs = 0.5 0.5 (1 for uniform stresses and 0.5 for non uniform stresses) Resistance to block shear (Rbs) = min of{(0.44 x 400 x 16425) + (0.74 x 0.5 x 400 x 2175)} x 4/1000 & {(0.44 x 250 x 25500) + (0.74 x 0.5 x 400 x 2175)} x 4/1000 = 11864 KN 11864 125 KN > Hence ok


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012


s1 s1 s2 s2

b

s3


6.0 x T x b

a

= SQRT{ (6.0 x 409.6 x 1000 x(90 - 36)/2) / (225 x 225) }

Dp x Fup =

36.2 mm

< Hence ok

50.0 mm


=

(1/γw2) x 0.60 x fw x Aw


=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =



=

(1/γw2) x 0.60 x fw x Aw


=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =

(0.44 x 415 x 864 x 8 x 0.707 )/1000 892.33 KN 892.3 1638.4 KN < REVISE WELD SIZE OR DEPTH OF PLATE

Page No.


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.





Bolt Dia And No.



8 mm


8 mm


150 mm


90 mm 90 mm 90 mm


60 mm 60 mm




s2 s2 s3


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.

End Plate Type Splice Connection - End Plate Welded to column & two end plate Bolted at splice location REFER DWG. 321-657-DETAIL F (637) SPLICE DESIGN CONNECTION BY LRFD METHOD Load From Beam 1-PG2 Shear Fy,Sd = 8 kN Shear Fz,Sd = 28 kN Resultant Shear , FvSd = Axial Compression Fxc, Sd = Axial Tension Fxt, Sd = Bending Moment, MzSd =

29.12 kN 1293.00 47.00 kN 12 kNm


72 kNm 10.34 kN 800.00 kN

Additional pull/push due to Bending moment ,Mz = Additional pull/push due to Bending moment ,My = Upper Column PG2

6 mm fillet weld to web on both side 6 mm fillet weld to flange all around 450 x 480 x 36 thick A36 Grade plate 90 10mm stiffener 450 x 480 x 36 thick A36 Grade plate

s1

s2


s2

Lower Column PG2





8.8 30 mm 33 mm 5 2 10


tp = wp = Dp = p= s1 = s2 = s3 = lv = lh =

A36 36 450 480 90 90 90 90 60 60



VPV

Date

12.10.2012

RMM KKM

Date Date

12.10.2012 12.10.2012

= = = =

Fyp Fup Fbp

A

8.8

A36 250 N/mm2 400 N/mm2 225 N/mm2

LRFD METHOD

M

a)

Yield Stress

Fyb

=

640 N/mm2

b)


Fub

=

800 N/mm2





= =

30 mm 10


= = = = = =

SINGLE


(where ,γa2 =1.35 ) (Fnv = 0.40 x Fub)

Page No.


VPV Date 12.10.2012 Page No. RMM Date 12.10.2012 Checked By KKM Date 12.10.2012 Approved By 3 check for Tensile Capacity of Bolt Assuming pure tension resist equally by all bolts and axial tension due to moment is resist by only the bolts near flange of column. Therefore Tension on each bolt due to pure axial force = 4.7 kN And Tension due to moment MzSd in bolt near flange = 2.6 kN And Tension due to moment MySd in bolt near flange = 160.0 kN Maximum tensile force in one bolt 167.29 kN = Effective Cross Sectional Area of Bolts = Abe 0.75 x Ab = 529.9 sqmm = (where ,γa2 =1.35 ) Tension Capacity per Bolt = (1/γa1) x Fub x Abe = (Ref NBR8800:2008,CL.6.3.3.1, Page No. 77) (0.75 x 800 x 529.875)/1000 = Tensile force carrying of capacity of one bolt 317.9 KN = Ft,Rd 317.9 KN = 317.9 167.29 KN > Hence ok Designed By

4 Check for Combined Tension and Shear force Check for intraction of Combined Tension and Shear force (Ref NBR8800:2008,CL.6.3.3.4, Page No. 78) = { Ft,Sd/Ft,Rd}2 + { Fv,Sd/Fv,Rd}2 { 167.29 / 317.9}^2 + { 29.12 / 1673}^2 = 0.28 = 0.28 1 < Hence ok 5 Shearing strength of plate Thickness of Plate Assumed tp Depth of plate Dp Effective Depth bn = Dp-(dh x nr) Gross area of plate Ag = tp x Dp Net area of plate An = tp x bn Shear Capacity of Plate = (Ref NBR8800:2008,CL.6.5.5 a & b, Page No. 87) (where ,γa1 =1.10 & γa2 =1.35 )

= = = = = = = = =


6 Block Shear of Plate min of { (1/γa2)(0.6 x Fup x Anv)+(Cts x fup x Ant), Resistance to block shear (Rbs) = (Ref NBR8800:2008,CL.6.5.6, Page No. 87) & (1/γa2) (0.6 x Fyp x Agv)+(Cts x fup x Ant) } Ant = (lh - dh/2) x tp = (60-( 33/2) ) x36= 1566 mm2 Agv = (lv + (N -1) x s) x tp = (60+( 5-1)x90) x 36= 15120 mm2 Anv = (lv + (N -1) x (s - dh) - dh/2)) x tp = {60+(5-1)x57-16.5} x 36= 9774 mm2 Ubs = 1 (1 for uniform stresses and 0.5 for non uniform stresses) Resistance to block shear (Rbs) = min of{(0.44 x 400 x 9774) + (0.74 x 1 x 400 x 1566)} x 2/1000 & {(0.44 x 250 x 15120) + (0.74 x 1 x 400 x 1566)} x 2/1000 = 4253 KN 4253 29 KN > Hence ok


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012


s1 s1 s2 s2

b

s3


6.0 x T x b

a

= SQRT{ (6.0 x 167.29 x 1000 x(90 - 40)/2) / (225 x 225) }

Dp x Fup =

22.3 mm

< Hence ok

36.0 mm


=

(1/γw2) x 0.60 x fw x Aw


=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =


9 Check for Weld Strength between column flange and End plate Width of Flange = 450.0 mm = Weld length available ( lw) 900 mm = Thickness of the weld used (w) 6 mm = Total load carrying capacity of the weld required 669.1 KN Total load carrying capacity of the weld

=

(1/γw2) x 0.60 x fw x Aw


=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =


Page No.


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.





Bolt Dia And No.



6 mm


6 mm


90 mm


90 mm 90 mm 90 mm


60 mm 60 mm

Upper Column PG2

6 mm fillet weld to web both side 6 mm to flange all around 90 mm 450 x 480 x 36 thick A36 Grade plate



s2 s2 s3


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.

End Plate Type Splice Connection - End Plate Welded to column & two end plate Bolted at splice location REFER DWG. 321-657-DETAIL G (638) SPLICE DESIGN CONNECTION BY LRFD METHOD Load From Beam 1-PG2 Shear Fy,Sd = 54 kN Shear Fz,Sd = 113 kN Resultant Shear , FvSd = Axial Compression Fxc, Sd = Axial Tension Fxt, Sd = Bending Moment, MzSd =

125.24 kN 1292.00 0.00 kN 178 kNm


331 kNm 153.45 kN 3677.78 kN

Additional pull/push due to Bending moment ,Mz = Additional pull/push due to Bending moment ,My = Upper Column PG2

6 mm fillet weld to web on both side 8 mm fillet weld to flange all around 450 x 1110 x 36 thick A36 Grade plate 90 10mm stiffener 450 x 1110 x 36 thick A36 Grade plate

s1

s2


s2

Lower Column PG2





8.8 30 mm 33 mm 12 2 24


tp = wp = Dp = p= s1 = s2 = s3 = lv = lh =

A36 36 450 1110 90 90 90 90 60 60



VPV

Date

12.10.2012

RMM KKM

Date Date

12.10.2012 12.10.2012

= = = =

Fyp Fup Fbp

A

8.8

A36 250 N/mm2 400 N/mm2 225 N/mm2

LRFD METHOD

M

a)

Yield Stress

Fyb

=

640 N/mm2

b)


Fub

=

800 N/mm2





= =

30 mm 24


= = = = = =

SINGLE


(where ,γa2 =1.35 ) (Fnv = 0.40 x Fub)

Page No.


VPV Date 12.10.2012 Page No. RMM Date 12.10.2012 Checked By KKM Date 12.10.2012 Approved By 3 check for Tensile Capacity of Bolt Assuming pure tension resist equally by all bolts and axial tension due to moment is resist by only the bolts near flange of column. Therefore Tension on each bolt due to pure axial force = 0.0 kN And Tension due to moment MzSd in bolt near flange = 38.4 kN And Tension due to moment MySd in bolt near flange = 306.5 kN Maximum tensile force in one bolt 344.84 kN = Effective Cross Sectional Area of Bolts = Abe 0.75 x Ab = 529.9 sqmm = (where ,γa2 =1.35 ) Tension Capacity per Bolt = (1/γa1) x Fub x Abe = (Ref NBR8800:2008,CL.6.3.3.1, Page No. 77) (0.75 x 800 x 529.875)/1000 = Tensile force carrying of capacity of one bolt 317.9 KN = Ft,Rd 317.9 KN = 317.9 344.84 KN < BOLT UNSAFE IN TENSION Designed By

4 Check for Combined Tension and Shear force Check for intraction of Combined Tension and Shear force (Ref NBR8800:2008,CL.6.3.3.4, Page No. 78) = { Ft,Sd/Ft,Rd}2 + { Fv,Sd/Fv,Rd}2 { 344.84 / 317.9}^2 + { 125.24 / 4015.2}^2 = 1.18 = 1.18 1 > BOLT UNSAFE IN COMBINED TENSION AND SHEAR 5 Shearing strength of plate Thickness of Plate Assumed tp Depth of plate Dp Effective Depth bn = Dp-(dh x nr) Gross area of plate Ag = tp x Dp Net area of plate An = tp x bn Shear Capacity of Plate = (Ref NBR8800:2008,CL.6.5.5 a & b, Page No. 87) (where ,γa1 =1.10 & γa2 =1.35 )

= = = = = = = = =


6 Block Shear of Plate min of { (1/γa2)(0.6 x Fup x Anv)+(Cts x fup x Ant), Resistance to block shear (Rbs) = (Ref NBR8800:2008,CL.6.5.6, Page No. 87) & (1/γa2) (0.6 x Fyp x Agv)+(Cts x fup x Ant) } Ant = (lh - dh/2) x tp = (60-( 33/2) ) x36= 1566 mm2 Agv = (lv + (N -1) x s) x tp = (60+( 12-1)x90) x 36= 37800 mm2 Anv = (lv + (N -1) x (s - dh) - dh/2)) x tp = {60+(12-1)x57-16.5} x 36= 24138 mm2 Ubs = 1 (1 for uniform stresses and 0.5 for non uniform stresses) Resistance to block shear (Rbs) = min of{(0.44 x 400 x 24138) + (0.74 x 1 x 400 x 1566)} x 2/1000 & {(0.44 x 250 x 37800) + (0.74 x 1 x 400 x 1566)} x 2/1000 = 9243 KN 9243 125 KN > Hence ok


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012


s1 s1 s2 s2

b

s3


6.0 x T x b

a

= SQRT{ (6.0 x 344.84 x 1000 x(90 - 40)/2) / (225 x 225) }

Dp x Fup =

32.0 mm

< Hence ok

36.0 mm


=

(1/γw2) x 0.60 x fw x Aw


=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =


9 Check for Weld Strength between column flange and End plate Width of Flange = 450.0 mm = Weld length available ( lw) 900 mm = Thickness of the weld used (w) 8 mm = Total load carrying capacity of the weld required 1379.4 KN Total load carrying capacity of the weld

=

(1/γw2) x 0.60 x fw x Aw


=

(1/γw2) x 0.60 x fw x 0.707 x s x 2 x L /1000

Page No. 16.1-100 )

= =

(0.44 x 415 x 900 x 8 x 0.707 )/1000 929.51 KN 929.5 1379.4 KN < REVISE WELD SIZE OR DEPTH OF PLATE

Page No.


Designed By

VPV

Date

12.10.2012


RMM KKM

Date Date

12.10.2012 12.10.2012

Page No.





Bolt Dia And No.



6 mm


8 mm


90 mm


90 mm 90 mm 90 mm


60 mm 60 mm

Upper Column PG2

6 mm fillet weld to web both side 8 mm to flange all around 90 mm 450 x 1110 x 36 thick A36 Grade plate



s2 s2 s3

ISMB SECTION

Designation

1 ISMB 100 ISMB 125 ISMB 150 ISMB 175 ISMB 200 ISMB 225 ISMB 250 ISMB 300 ISMB 350 ISMB 400 ISMB 450 ISMB 500 ISMB 550 ISMB 600

Mass per metre M

Depth of Section d

Width of Section bf

kg/m

mm

2

3 8.9 13.3 15 19.6 24.2 31.1 37.3 46 52.4 61.5 72.4 86.9 104 123

CHANNEL SECTION Section Designation

1

2 Mass per Metre M kg/m 2

7.14 9.56 13.1 16.8 19.6 22.3 26.1 30.6 36.3 42.7 50.1

ISMC 75 ISMC 100 ISMC 125 ISMC 150 ISMC 175 ISMC 200 ISMC 225 ISMC 250 ISMC 300 ISMC 350 ISMC 400 SINGLE ANGLE Section Designation axbxt

Thickness of Flange Web

Root Radius

tw

tf

r1

mm

mm

mm

mm

4

5

6

7

100 125 150 175 200 225 250 300 350 400 450 500 550 600

50 70 75 85 100 110 125 140 140 140 150 180 190 210

3 Depth of Section h mm 3 75

4 Width of section b mm 4 40

100

50

5

7.7

4.7

125

65

5.3

8.2

5

150

75

5.7

9

5.4

175

75

6

10.2

5.7

200

75

6.2

11.4

6.1

225

80

6.5

12.4

6.4

250

80

7.2

14.1

7.1

300

90

7.8

13.6

7.6

350

100

8.3

13.5

8.1

400

100

8.8

15.3

8.6

2 Mass per metre

3

4 Section Dimensions

M kg/m

a mm

b mm

4.7 5 5 5.8 5.7 6.5 6.9 7.7 8.1 8.9 9.4 10.2 11.2 12

7 8 8 9 10 11.8 12.5 13.1 14.2 16 17.4 17.2 19.3 20.3

5 6 Thickness of Web Flange tw tf mm mm 5 6 4.8 7.5

9 9 9 10 11 12 13 14 14 14 15 17 18 20 7 Radius of Root r1 mm 7 4.4

5

6

7 Root radius

t1 mm

t2

r1 mm

1 ISA 20x20x3 ISA 20x20x4 ISA 25x25x3 ISA 25x25x4 ISA 25x25x5 ISA 30x30x3 ISA 30x30x4 ISA 30x30x5 ISA 35x35x3 ISA 35x35x4 ISA 35x35x5 ISA 35x35x6 ISA 40x40x3 ISA 40x40x4 ISA 40x40x5 ISA 40x40x6 ISA 45x45x3 ISA 45x45x4 ISA 45x45x5 ISA 45x45x6 ISA 50x50x3 ISA 50x50x4 ISA 50x50x5 ISA 50x50x6 ISA 50x50x7 ISA 50x50x8 ISA 55x55x5 ISA 55x55x6 ISA 55x55x8 ISA 55x55x10 ISA 60x60x4 ISA 60x60x5 ISA 60x60x6 ISA 60x60x8 ISA 60x60x10 ISA 65x65x5 ISA 65x65x6 ISA 65x65x8 ISA 65x65x10 ISA 70x70x5 ISA 70x70x6 ISA 70x70x7 ISA 70x70x8 ISA 70x70x10 ISA 75x75x5 ISA 75x75x6 ISA 75x75x8 ISA 75x75x10 ISA 80x80x6 ISA 80x80x8 ISA 80x80x10 ISA 80x80x12 ISA 90x90x6 ISA 90x90x8

2

3 0.9 1.1 1.1 1.4 1.8 1.4 1.8 2.2 1.6 2.1 2.6 3 1.8 2.4 3 3.5 2.1 2.7 3.4 4 2.3 3 3.8 4.5 5.15 5.82 4.1 4.9 6.4 7.9 3.7 4.5 5.4 7 8.6 4.9 5.8 7.7 9.4 5.3 6.3 7.38 8.3 10.2 5.7 6.8 8.9 11 7.3 9.6 11.8 14 8.2 10.8

4 20 20 25 25 25 30 30 30 35 35 35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55 55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90

5 20 20 25 25 25 30 30 30 35 35 35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55 55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90

6 3 4 3 4 5 3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6 8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8

7 3 4 3 4 5 3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6 8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8

4 4 4.5 4.5 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 6 6 6 6 7 7 6.5 6.5 6.5 6.5 8 6.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5 7 7 9 7 7 7 7 7 7 8 8 8 8 8.5 8.5

ISA 90x90x10 ISA 90x90x12 ISA 100x100x6 ISA 100x100x7 ISA 100x100x8 ISA 100x100x10 ISA 100x100x12 ISA 100x100x15 ISA 110x110x8 ISA 110x110x10 ISA 110x110x12 ISA 110x110x16 ISA 120x120x8 ISA 120x120x10 ISA 120x120x12 ISA 120x120x15 ISA 130x130x8 ISA 130x130x9 ISA 130x130x10 ISA 130x130x12 ISA 130x130x16 ISA 150x150x10 ISA 150x150x12 ISA 150x150x15 ISA 150x150x16 ISA 150x150x18 ISA 150x150x20 ISA 180x180x15 ISA 180x180x18 ISA 180x180x20 ISA 200x200x12 ISA 200x200x16 ISA 200x200x20 ISA 200x200x24 ISA 200x200x25

13.4 15.8 9.2 10.7 12.1 14.9 17.7 21.9 13.4 16.6 19.7 25.7 14.7 18.2 21.6 26.6 15.9 17.9 19.7 23.5 30.7 22.9 27.3 33.8 35.8 40.1 44.1 40.9 48.6 53.7 36.9 48.5 60 71.1 73.9

DOUBLE ANGLE Section Designation axbxt 1 2L-ISA 20x20x3 2L-ISA 20x20x4 2L-ISA 25x25x3 2L-ISA 25x25x4 2L-ISA 25x25x5 2L-ISA 30x30x3 2L-ISA 30x30x4 2L-ISA 30x30x5 2L-ISA 35x35x3 2L-ISA 35x35x4

90 90 100 100 100 100 100 100 110 110 110 110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180 180 200 200 200 200 200

2 Mass per metre

3

M kg/m 2

a mm 3

1.8 2.2 2.2 2.8 3.6 2.8 3.6 4.4 3.2 4.2

90 90 100 100 100 100 100 100 110 110 110 110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180 180 200 200 200 200 200

4 Section Dimensions b mm 4 20 20 25 25 25 30 30 30 35 35

20 20 25 25 25 30 30 30 35 35

10 12 6 7 8 10 12 15 8 10 12 16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18 20 12 16 20 24 25

10 12 6 7 8 10 12 15 8 10 12 16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18 20 12 16 20 24 25

8.5 8.5 8.5 12 8.5 8.5 8.5 12 10 10 10 10 13 13 13 13 10 13 10 10 10 12 12 16 12 16 12 18 18 18 15 15 15 18 15

5

6

7 Root radius

t1 mm 5

t2

r1

6

mm 7

3 4 3 4 5 3 4 5 3 4

3 4 3 4 5 3 4 5 3 4

2L-ISA 35x35x5 2L-ISA 35x35x6 2L-ISA 40x40x3 2L-ISA 40x40x4 2L-ISA 40x40x5 2L-ISA 40x40x6 2L-ISA 45x45x3 2L-ISA 45x45x4 2L-ISA 45x45x5 2L-ISA 45x45x6 2L-ISA 50x50x3 2L-ISA 50x50x4 2L-ISA 50x50x5 2L-ISA 50x50x6 2L-ISA 50x50x7 2L-ISA 50x50x8 2L-ISA 55x55x5 2L-ISA 55x55x6 2L-ISA 55x55x8 2L-ISA 55x55x10 2L-ISA 60x60x4 2L-ISA 60x60x5 2L-ISA 60x60x6 2L-ISA 60x60x8 2L-ISA 60x60x10 2L-ISA 65x65x5 2L-ISA 65x65x6 2L-ISA 65x65x8 2L-ISA 65x65x10 2L-ISA 70x70x5 2L-ISA 70x70x6 2L-ISA 70x70x7 2L-ISA 70x70x8 2L-ISA 70x70x10 2L-ISA 75x75x5 2L-ISA 75x75x6 2L-ISA 75x75x8 2L-ISA 75x75x10 2L-ISA 80x80x6 2L-ISA 80x80x8 2L-ISA 80x80x10 2L-ISA 80x80x12 2L-ISA 90x90x6 2L-ISA 90x90x8 2L-ISA 90x90x10 2L-ISA 90x90x12 2L-ISA 100x100x6 2L-ISA 100x100x7 2L-ISA 100x100x8 2L-ISA 100x100x10 2L-ISA 100x100x12 2L-ISA 100x100x15 2L-ISA 110x110x8 2L-ISA 110x110x10 2L-ISA 110x110x12

5.2 6 3.6 4.8 6 7 4.2 5.4 6.8 8 4.6 6 7.6 9 10.3 11.64 8.2 9.8 12.8 15.8 7.4 9 10.8 14 17.2 9.8 11.6 15.4 18.8 10.6 12.6 14.76 16.6 20.4 11.4 13.6 17.8 22 14.6 19.2 23.6 28 16.4 21.6 26.8 31.6 18.4 21.4 24.2 29.8 35.4 43.8 26.8 33.2 39.4

35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55 55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100 100 100 110 110 110

35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55 55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100 100 100 110 110 110

5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6 8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8 10 12 6 7 8 10 12 15 8 10 12

5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6 8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8 10 12 6 7 8 10 12 15 8 10 12

2L-ISA 110x110x16 2L-ISA 120x120x8 2L-ISA 120x120x10 2L-ISA 120x120x12 2L-ISA 120x120x15 2L-ISA 130x130x8 2L-ISA 130x130x9 2L-ISA 130x130x10 2L-ISA 130x130x12 2L-ISA 130x130x16 2L-ISA 150x150x10 2L-ISA 150x150x12 2L-ISA 150x150x15 2L-ISA 150x150x16 2L-ISA 150x150x18 2L-ISA 150x150x20 2L-ISA 180x180x15 2L-ISA 180x180x18 2L-ISA 180x180x20 2L-ISA 200x200x12 2L-ISA 200x200x16 2L-ISA 200x200x20 2L-ISA 200x200x24 2L-ISA 200x200x25

51.4 29.4 36.4 43.2 53.2 31.8 35.8 39.4 47 61.4 45.8 54.6 67.6 71.6 80.2 88.2 81.8 97.2 107.4 73.8 97 120 142.2 147.8

STAR ANGLE STAR-ISA 20x20x3 STAR-ISA 20x20x4 STAR-ISA 25x25x3 STAR-ISA 25x25x4 STAR-ISA 25x25x5 STAR-ISA 30x30x3 STAR-ISA 30x30x4 STAR-ISA 30x30x5 STAR-ISA 35x35x3 STAR-ISA 35x35x4 STAR-ISA 35x35x5 STAR-ISA 35x35x6 STAR-ISA 40x40x3 STAR-ISA 40x40x4 STAR-ISA 40x40x5 STAR-ISA 40x40x6 STAR-ISA 45x45x3 STAR-ISA 45x45x4 STAR-ISA 45x45x5 STAR-ISA 45x45x6 STAR-ISA 50x50x3 STAR-ISA 50x50x4 STAR-ISA 50x50x5 STAR-ISA 50x50x6 STAR-ISA 50x50x7 STAR-ISA 50x50x8 STAR-ISA 55x55x5 STAR-ISA 55x55x6

2

110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180 180 200 200 200 200 200 3

1.8 2.2 2.2 2.8 3.6 2.8 3.6 4.4 3.2 4.2 5.2 6 3.6 4.8 6 7 4.2 5.4 6.8 8 4.6 6 7.6 9 10.3 11.64 8.2 9.8

110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180 180 200 200 200 200 200 4

20 20 25 25 25 30 30 30 35 35 35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55

16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18 20 12 16 20 24 25 5

20 20 25 25 25 30 30 30 35 35 35 35 40 40 40 40 45 45 45 45 50 50 50 50 50 50 55 55

16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18 20 12 16 20 24 25 6

3 4 3 4 5 3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6

7 3 4 3 4 5 3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 3 4 5 6 7 8 5 6

STAR-ISA 55x55x8 STAR-ISA 55x55x10 STAR-ISA 60x60x4 STAR-ISA 60x60x5 STAR-ISA 60x60x6 STAR-ISA 60x60x8 STAR-ISA 60x60x10 STAR-ISA 65x65x5 STAR-ISA 65x65x6 STAR-ISA 65x65x8 STAR-ISA 65x65x10 STAR-ISA 70x70x5 STAR-ISA 70x70x6 STAR-ISA 70x70x7 STAR-ISA 70x70x8 STAR-ISA 70x70x10 STAR-ISA 75x75x5 STAR-ISA 75x75x6 STAR-ISA 75x75x8 STAR-ISA 75x75x10 STAR-ISA 80x80x6 STAR-ISA 80x80x8 STAR-ISA 80x80x10 STAR-ISA 80x80x12 STAR-ISA 90x90x6 STAR-ISA 90x90x8 STAR-ISA 90x90x10 STAR-ISA 90x90x12 STAR-ISA 100x100x6 STAR-ISA 100x100x7 STAR-ISA 100x100x8 STAR-ISA 100x100x10 STAR-ISA 100x100x12 STAR-ISA 100x100x15 STAR-ISA 110x110x8 STAR-ISA 110x110x10 STAR-ISA 110x110x12 STAR-ISA 110x110x16 STAR-ISA 120x120x8 STAR-ISA 120x120x10 STAR-ISA 120x120x12 STAR-ISA 120x120x15 STAR-ISA 130x130x8 STAR-ISA 130x130x9 STAR-ISA 130x130x10 STAR-ISA 130x130x12 STAR-ISA 130x130x16 STAR-ISA 150x150x10 STAR-ISA 150x150x12 STAR-ISA 150x150x15 STAR-ISA 150x150x16 STAR-ISA 150x150x18 STAR-ISA 150x150x20 STAR-ISA 180x180x15 STAR-ISA 180x180x18

12.8 15.8 7.4 9 10.8 14 17.2 9.8 11.6 15.4 18.8 10.6 12.6 14.76 16.6 20.4 11.4 13.6 17.8 22 14.6 19.2 23.6 28 16.4 21.6 26.8 31.6 18.4 21.4 24.2 29.8 35.4 43.8 26.8 33.2 39.4 51.4 29.4 36.4 43.2 53.2 31.8 35.8 39.4 47 61.4 45.8 54.6 67.6 71.6 80.2 88.2 81.8 97.2

55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100 100 100 110 110 110 110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180

55 55 60 60 60 60 60 65 65 65 65 70 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100 100 100 110 110 110 110 120 120 120 120 130 130 130 130 130 150 150 150 150 150 150 180 180

8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8 10 12 6 7 8 10 12 15 8 10 12 16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18

8 10 4 5 6 8 10 5 6 8 10 5 6 7 8 10 5 6 8 10 6 8 10 12 6 8 10 12 6 7 8 10 12 15 8 10 12 16 8 10 12 15 8 9 10 12 16 10 12 15 16 18 20 15 18

STAR-ISA 180x180x20 STAR-ISA 200x200x12 STAR-ISA 200x200x16 STAR-ISA 200x200x20 STAR-ISA 200x200x24 STAR-ISA 200x200x25 UNEQUAL ANGLE Section Designation axbxt 1 ISA 30x20x3 ISA 30x20x4 ISA 30x20x5 ISA 40x25x3 ISA 40x25x4 ISA 40x25x5 ISA 40x25x6 ISA 45x30x3 ISA 45x30x4 ISA 45x30x5 ISA 45x30x6 ISA 50x30x3 ISA 50x30x4 ISA 50x30x5 ISA 50x30x6 ISA 60x40x5 ISA 60x40x6 ISA 60x40x8 ISA 65x45x5 ISA 65x45x6 ISA 65x45x8 ISA 70x45x5 ISA 70x45x6 ISA 70x45x8 ISA 70x45x10 ISA 75x50x5 ISA 75x50x6 ISA 75x50x8 ISA 75x50x10 ISA 80x50x5 ISA 80x50x6 ISA 80x50x8 ISA 80x50x10 ISA 90x60x6 ISA 90x60x8 ISA 90x60x10 ISA 90x60x12 ISA 100x65x6 ISA 100x65x8 ISA 100x65x10 ISA 100x75x6

107.4 73.8 97 120 142.2 147.8 2 Mass per metre M kg/m 2

180 200 200 200 200 200 3

180 200 200 200 200 200 4

20 12 16 20 24 25

20 12 16 20 24 25

5

6

7 Root radius

t1 mm 5

t2

r1

6

mm 7

Section Dimensions a mm 3

b mm 4 20 20 20 25 25 25 25 30 30 30 30 30 30 30 30 40 40 40 45 45 45 45 45 45 45 50 50 50 50 50 50 50 50 60 60 60 60 65 65 65 75

30 30 30 40 40 40 40 45 45 45 45 50 50 50 50 60 60 60 65 65 65 70 70 70 70 75 75 75 75 80 80 80 80 90 90 90 90 100 100 100 100

3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 5 6 8 5 6 8 5 6 8 10 5 6 8 10 5 6 8 10 6 8 10 12 6 8 10 6

3 4 5 3 4 5 6 3 4 5 6 3 4 5 6 5 6 8 5 6 8 5 6 8 10 5 6 8 10 5 6 8 10 6 8 10 12 6 8 10 6

4.5 4.5 4.5 5 5 5 5 5 5 5 5 5.5 5.5 5.5 5.5 6 6 6 6 6 6 6.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5 7 7 7 7 7 7 7 7 8 8 8 8.5

ISA 100x75x8 ISA 100x75x10 ISA 100x75x12 ISA 125x75x6 ISA 125x75x8 ISA 125x75x10 ISA 125x95x6 ISA 125x95x8 ISA 125x95x10 ISA 125x95x12 ISA 150x75x8 ISA 150x75x10 ISA 150x75x12 ISA 150x115x8 ISA 150x115x10 ISA 150x115x12 ISA 150x115x16 ISA 200x100x10 ISA 200x100x12 ISA 200x100x16 ISA 200x150x10 ISA 200x150x12 ISA 200x150x16 ISA 200x150x20 ISA 40x20x3 ISA 40x20x4 ISA 40x20x5 ISA 60x30x5 ISA 60x30x6 ISA 60x40x7 ISA 65x50x5 ISA 65x50x6 ISA 65x50x7 ISA 65x50x8 ISA 70x50x5 ISA 70x50x6 ISA 70x50x7 ISA 70x50x8 ISA 75x50x7 ISA 80x40x5 ISA 80x40x6 ISA 80x40x7 ISA 80x40x8 ISA 80x60x6 ISA 80x60x7 ISA 80x60x8 ISA 90x65x6 ISA 90x65x7 ISA 90x65x8 ISA 90x65x10 ISA 100x50x6 ISA 100x50x7 ISA 100x50x8 ISA 100x50x10 ISA 100x65x7

75 75 75 75 75 75 95 95 95 95 75 75 75 115 115 115 115 100 100 100 150 150 150 150 20 20 20 30 30 40 50 50 50 50 50 50 50 50 50 40 40 40 40 60 60 60 65 65 65 65 50 50 50 50 65

100 100 100 125 125 125 125 125 125 125 150 150 150 150 150 150 150 200 200 200 200 200 200 200 40 40 40 60 60 60 65 65 65 65 70 70 70 70 75 80 80 80 80 80 80 80 90 90 90 90 100 100 100 100 100

8 10 12 6 8 10 6 8 10 12 8 10 12 8 10 12 16 10 12 16 10 12 16 20 3 4 5 5 6 7 5 6 7 8 5 6 7 8 7 5 6 7 8 6 7 8 6 7 8 10 6 7 8 10 7

8 10 12 6 8 10 6 8 10 12 8 10 12 8 10 12 16 10 12 16 10 12 16 20 3 4 5 5 6 7 5 6 7 8 5 6 7 8 7 5 6 7 8 6 7 8 6 7 8 10 6 7 8 10 7

8.5 8.5 8.5 8.5 8.5 8.5 9 9 9 9 10 10 10 11 11 11 11 12 12 12 13.5 13.5 13.5 13.5 4 4 4 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10

ISA 120x80x8 ISA 120x80x10 ISA 120x80x12 ISA 125x75x12 ISA 135x65x8 ISA 135x65x10 ISA 135x65x12 ISA 150x75x9 ISA 150x75x15 ISA 150x90x10 ISA 150x90x12 ISA 150x90x15 ISA 200x100x15 ISA 200x150x15 ISA 200x150x18

80 80 80 75 65 65 65 75 75 90 90 90 100 150 150

ISMC FRONT TO FRONT []ISMC 75 []ISMC 100 []ISMC 125 []ISMC 150 []ISMC 175 []ISMC 200 []ISMC 225 []ISMC 250 []ISMC 300 []ISMC 350 []ISMC 400

2 14.28 19.12 26.20 33.60 39.20 44.60 52.20 61.20 72.60 85.40 100.20

3

ISMC BACK TO BACK ISMC 75 ISMC 100 ISMC 125 ISMC 150 ISMC 175 ISMC 200 ISMC 225 ISMC 250 ISMC 300 ISMC 350 ISMC 400

2 14.28 19.12 26.20 33.60 39.20 44.60 52.20 61.20 72.60 85.40 100.20

3

][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][

ISMB + PLATES - IS ISMB 400 + (200 x 10 Thk. T&B Pl.) ISMB 400 + (200 x 12 Thk. T&B Pl.) ISMB 400 + (200 x 16 Thk. T&B Pl.) ISMB 400 + (200 x 20 Thk. T&B Pl.) ISMB 400 + (200 x 25 Thk. T&B Pl.) ISMB 400 + (200 x 32 Thk. T&B Pl.) ISMB 450 + (200 x 10 Thk. T&B Pl.) ISMB 450 + (200 x 12 Thk. T&B Pl.) ISMB 450 + (200 x 16 Thk. T&B Pl.) ISMB 450 + (200 x 20 Thk. T&B Pl.) ISMB 450 + (200 x 25 Thk. T&B Pl.)

2 92.90 99.18 111.74 124.30 140.00 162.00 103.80 110.10 122.70 135.20 150.90

120 120 120 125 135 135 135 150 150 150 150 150 200 200 200 4

75 100 125 150 175 200 225 250 300 350 400

5 40 50 65 75 75 75 80 80 90 100 100

4 75 100 125 150 175 200 225 250 300 350 400

3

6

5

7

6

7 7.5 7.7 8.1 9 10.2 11.4 12.4 14.1 13.6 13.5 15.3

6 8.9 8.9 8.9 8.9 8.9 8.9 9.4 9.4 9.4 9.4 9.4

11 11 11 11 11 11 11 11 11 12 12 12 15 15 15

7.5 7.7 8.1 9 10.2 11.4 12.4 14.1 13.6 13.5 15.3

4.8 5 5.3 5.7 6 6.2 6.5 7.2 7.8 8.3 8.8 5

200 200 200 200 200 200 200 200 200 200 200

8 10 12 12 8 10 12 9 15 10 12 15 15 15 18

4.8 5 5.3 5.7 6 6.2 6.5 7.2 7.8 8.3 8.8

40 50 65 75 75 75 80 80 90 100 100 4

420 424 432 440 450 464 470 474 482 490 500

8 10 12 12 8 10 12 9 15 10 12 15 15 15 18

7 26 28 32 36 41 48 23 25 29 33 38

14 14 14 14 14 14 15 15 15 15 15

ISMB 450 + (200 x 32 Thk. T&B Pl.) 172.90 ISMB 450 + (200 x 40 Thk. T&B Pl) 198.00 ISMB 500 + (250 x 10 Thk. T&B Pl.) 126.20 ISMB 500 + (250 x 12 Thk. T&B Pl.) 134.00 ISMB 500 + (250 x 16 Thk. T&B Pl.) 149.70 ISMB 500 + (250 x 20 Thk. T&B Pl.) 165.40 ISMB 500 + (250 x 25 Thk. T&B Pl.) 185.10 ISMB 500 + (250 x 32 Thk. T&B Pl.) 212.50 ISMB 500 + (250 x 40 Thk. T&B Pl.) 243.90 ISMB 550 + (250 x 10 Thk. T&B Pl.) 143.00 ISMB 550 + (250 x 12 Thk. T&B Pl.) 150.80 ISMB 550 + (250 x 16 Thk. T&B Pl.) 166.50 ISMB 550 + (250 x 20 Thk. T&B Pl.) 182.20 ISMB 550 + (250 x 25 Thk. T&B Pl.) 201.80 ISMB 550 + (250 x 32 Thk. T&B Pl.) 229.30 ISMB 550 + (250 x 40 Thk. T&B Pl.) 260.70 ISMB 600 + (320 x 10 Thk. T&B Pl.) 172.90 ISMB 600 + (320 x 12 Thk. T&B Pl.) 182.90 ISMB 600 + (320 x 16 Thk. T&B Pl.) 203.00 ISMB 600 + (320 x 20 Thk. T&B Pl.) 223.10 ISMB 600 + (320 x 25 Thk. T&B Pl.) 248.20 ISMB 600 + (320 x 32 Thk. T&B Pl.) 283.40 ISMB 600 + (320 x 40 Thk. T&B Pl.) 323.60 ISMB + PLATES-DIN 2 ISMB 150 + (180 x 10 Thk. T&B Pl.) 43.16 ISMB 200 + (220 x 10 Thk. T&B Pl.) 59.94 ISMB 250 + (280 x 10 Thk. T&B Pl.) 81.26 ISMB 300 + (300 x 10 Thk. T&B Pl.) 91.30 ISMB 350 + (300 x 10 Thk. T&B Pl.) 99.50 ISMB 400 + (300 x 20 Thk. T&B Pl.) 155.70 ISMB 450 + (300 x 20 Thk. T&B Pl.) 166.60 ISMB 500 + (300 x 20 Thk. T&B Pl.) 181.10 ISMB 550 + (300 x 20 Thk. T&B Pl.) 197.90 ISMB 600 + (300 x 20 Thk. T&B Pl.) 216.80 WELDED H 2 H 700 x 300 x 30 x 15 216.66 H 800 x 300 x 30 x 15 228.44 H 900 x 300 x 30 x 20 273.18 H 1000 x 300 x 30 x 20 288.88 H 1200 x 300 x 30 x 20 320.28 WELDED BOX 2 Box 300 x 300 x 15 134.24 Box 400 x 400 x 20 238.64 Box 450 x 450 x 25 333.63 Box 500 x 500 x 30 442.74 WELDED WIDE FLANGE H 2 H 600 x 600 x 40 x 20 458.44 H 700 x 700 x 40 x 20 536.94 H 800 x 800 x 50 x 30 792.85 H 900 x 900 x 50 x 30 894.90 H 1000 x 1000 x 60 x 40 1218.32 HEA SECTION 2 HE 600 A 178.00 HE 700 A 204.00

514 530 520 524 532 540 550 564 580 570 574 582 590 600 614 530 620 624 632 640 650 664 680 3

200 200 250 250 250 250 250 250 250 250 250 250 250 250 250 250 320 320 320 320 320 320 320 4

150 200 250 300 350 400 450 500 550 600 3 700 800 900 1000 1200 3 300 400 450 500 3 600 700 800 900 1000 3 590 690

9.4 9.4 10.2 10.2 10.2 10.2 10.2 10.2 10.2 11.2 11.2 11.2 11.2 11.2 11.2 11.2 12 12 12 12 12 12 12 5

180 220 280 300 300 300 300 300 300 300 4

6 5 5.7 6.9 7.7 8.1 8.9 9.4 10.2 11.2 12

5 300 300 300 300 300

4

600 700 800 900 1000 4 300 300

7

6

5

7

6

7 15 20 25 30

6 20 20 30 30 40

5

7 40 40 50 50 60

6 13 14.5

9 11 13 14 14 14 15 17 18 20

30 30 30 30 30

15 20 25 30 5

15 15 17 17 17 17 17 17 17 18 18 18 18 18 18 18 20 20 20 20 20 20 20

18 20 22.5 23.1 24.2 36 37.4 37.2 39.3 40.3

15 15 20 20 20

300 400 450 500 4

45 53 22.4 24.4 28.4 32.4 37.4 44.4 52.4 24.7 26.7 30.7 34.7 39.7 46.7 54.7 23.6 25.6 29.6 33.6 38.6 45.6 53.6

7 25 27

27 27

HE 800 A HE 900 A

UC SECTIONS UC 152 x 152 x 30 UC 203 x 203 x 46 UC 203 x 203 x 60 UC 254 x 254 x 89 UC 254 x 254 x 107 UC 305 x 305 x 97 UC 305 x 305 x 137 UC 356 x 368 x 129 UC 356 x 368 x 153 BUILT-UP SECTION PLAAAAATE PG1 PG2

224.00 252.00 M 2 30 46 60 89 107 97 137 129 153 2 458.44 544.8528 634.28 0 0 0

790 890

300 300

d 3 157.6 203.2 209.6 260.3 266.7 307.9 320.5 355.6 362 3 600 1100 1200

bf 4 152.9 203.6 205.8 256.3 258.8 305.3 309.2 368.6 370.5 4 600 450 450

15 16 tw 5

28 30 r1

tf 6

6.5 7.2 9.4 10.3 12.8 9.9 13.8 10.4 12.3 5

7 9.4 11 14.2 17.3 20.5 15.4 21.7 17.5 20.7

6 20 36 40

30 30

7.6 10.2 10.2 12.7 12.7 15.2 15.2 15.2 15.2 7

40 36 40

Toe Radius r2

8

cm

cm

9

10

11

12

13 1.05 1.51 1.57 1.76 2.11 2.34 2.65 2.86 2.84 2.82 3.01 3.52 3.73 4.12

2.4 2.4

mm 8

183 445 718 1260 2120 3440 5130 8990 13600 20500 30400 45200 64900 91800

12.9 38.5 46.8 76.7 137 218 335 486 538 622 834 1370 1830 2650

10 11 Second Moment of Area Axis z-z Axis y-y Iz Iy cm4 10

cm4 11

4 5.16 6.13 7.13 8.29 9.31 10.4 12.4 14.3 16.2 18.2 20.2 22.2 24.2

Elastic Modulus Axis z-z Axis y-y Sz Sy cm3

12

13 Radius of Gyration Axis z-z Axis y-y rz ry

14 36.6 71.2 95.7 144 212 306 410 599 779 1020 1350 1810 2360 3060

cm3

Plastic/Elastic Modulus Axis z-z Sz cm3

15 5.16 11 12.5 18 27.4 39.7 53.5 69.5 76.8 88.9 111 152 193 252

14

15 Elastic Modulus Axis z-z Axis y-y Sz Sy

14 36.6 71.2 95.7 144 212 306 410 599 779 1020 1350 1810 2360 3060 14 Elastic Modulus Axis z-z Sz

cm 13 1.19

cm3 14 20.9

cm3 15 4.81

cm3 14 20.9

78.5

12.9

cm 12 2.94

64

192

26.7

3.97

1.48

33.5

7.71

33.5

2.4

85.4

425

61.1

5.05

1.91

68.1

13.4

68.1

2.4

106.7

788

103

6.08

2.2

105

19.5

105

3.2

128.4

1240

122

7.04

2.21

141

23

141

3.2

150.2

1830

141

8.02

2.22

181

26.4

181

3.2

170.9

2710

188

9.02

2.37

241

33

241

3.2

192.5

3880

211

9.92

2.37

307

38.5

307

3.2

240.7

6420

313

11.8

2.6

428

47.1

428

4.8

288.1

10000

434

13.6

2.82

576

57.3

576

4.8

332.8

15200

508

15.4

2.82

760

67

760

8 Toe Radius

mm

cm4

9 Depth between fillets h mm 9 41.4

Toe r2

Radius of Gyration Axis z-z Axis y-y rz ry

cm4

65 89.2 113.9 134.5 152.7 173.3 194.1 241.5 288 334.4 379.2 424.1 467.5 509.7

8

Second Moment of Area Axis z-z Axis y-y Iz Iy

mm 4.5 4.5 4.5 5 5.5 6 6.5 7 7 7 7.5 8.5 9 10

Radius of

r2

Depth between fillets h

9

10 11 Second Moment of Area Axis Axis Iz Iy

12

13 Radius of Gyration Axis Axis rz ry

15 Elastic Modulus Axis Axis Sz Sy

Elastic Modulus Axis Sz

cm4

cm

cm3

cm3

cm

14

cm3

14

8 2.5 2.5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3.5 3.5 4 4 4 4 4 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5

10 N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

11 0.4 0.5 0.8 1 1.2 1.4 1.8 2.1 2.3 2.9 3.5 4.1 3.4 4.5 5.4 6.3 5 6.5 7.9 9.2 6.9 9.1 11 12.9 14.6 16.3 14.7 17.3 22 26.3 15.8 19.2 22.6 29 34.8 24.7 29.1 37.4 45 31.1 36.8 42.3 47.4 57.2 38.7 45.7 59 71.4 56 72.5 87.7 102 80.1 104

12 0.379 0.48 0.764 0.981 1.18 1.38 1.78 2.14 2.25 2.92 3.53 4.09 3.44 4.47 5.42 6.31 4.98 6.49 7.9 9.22 6.94 9.05 11 12.9 14.6 16.3 14.7 17.3 22 26.3 15.8 19.2 22.6 29 34.8 24.7 29.1 37.4 45 31.1 36.8 42.3 47.4 57.2 38.7 45.7 59 71.4 56.1 72.5 87.7 102 81 105

13 0.58 0.58 0.73 0.73 0.72 0.89 0.89 0.88 1.05 1.05 1.04 1.03 1.21 1.21 1.2 1.19 1.38 1.37 1.36 1.35 1.53 1.53 1.52 1.51 1.49 1.48 1.67 1.66 1.64 1.62 1.83 1.82 1.82 1.8 1.78 1.99 1.98 1.96 1.94 2.15 2.14 2.12 2.1 2.1 2.31 2.3 2.28 2.26 2.46 2.44 2.41 2.39 2.77 2.75

14 0.58 0.58 0.73 0.73 0.72 0.89 0.89 0.88 1.05 1.05 1.04 1.03 1.21 1.21 1.2 1.19 1.38 1.37 1.36 1.35 1.53 1.53 1.52 1.51 1.49 1.48 1.67 1.66 1.64 1.62 1.83 1.82 1.82 1.8 1.78 1.99 1.98 1.96 1.94 2.15 2.14 2.12 2.12 2.1 2.31 2.3 2.28 2.26 2.46 2.44 2.41 2.39 2.77 2.75

15 0.3 0.4 0.4 0.6 0.7 0.6 0.8 1 0.9 1.2 1.4 1.7 1.2 1.6 1.9 2.3 1.5 2 2.5 2.9 1.9 2.5 3.1 3.6 4.16 4.68 3.7 4.4 5.7 7 3.58 4.4 5.2 6.8 8.4 5.2 6.2 8.1 9.9 6.1 7.3 8.41 9.5 11.7 7.1 8.4 11 13.5 9.6 12.6 15.5 18.3 12.2 16

16 0.3 0.4 0.4 0.6 0.7 0.6 0.8 1 0.9 1.2 1.4 1.7 1.2 1.6 1.9 2.3 1.5 2 2.5 2.9 1.9 2.5 3.1 3.6 4.16 4.68 3.7 4.4 5.7 7 3.58 4.4 5.2 6.8 8.4 5.2 6.2 8.1 9.9 6.1 7.3 8.41 9.5 11.7 7.1 8.4 11 13.5 9.6 12.6 15.5 18.3 12.2 16

15 0.3 0.4 0.4 0.6 0.7 0.6 0.8 1 0.9 1.2 1.4 1.7 1.2 1.6 1.9 2.3 1.5 2 2.5 2.9 1.9 2.5 3.1 3.6 4.16 4.68 3.7 4.4 5.7 7 3.58 4.4 5.2 6.8 8.4 5.2 6.2 8.1 9.9 6.1 7.3 8.41 9.5 11.7 7.1 8.4 11 13.5 9.6 12.6 15.5 18.3 12.2 16

4.5 4.5 4.5 4.5 4.5 4.5 4.5 6 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 8 4.8 8 4.8 9 9 9 4.8 4.8 4.8 9 4.8 8 Toe Radius

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A 9

r2 mm 8

10

127 148 111 128 145 177 207 249 197 240 281 357 255 313 368 445 331 368 405 476 609 634 746 898 959 1050 1160 1590 1870 2040 1830 2370 2880 3330 3470

128 149 112 130 146 178 208 249 197 240 281 357 259 316 371 448 331 369 405 476 609 633 746 898 959 1050 1155 1589 1866 2043 1826 2366 2875 3331 3470

2.73 2.71 3.09 3.06 3.07 3.05 3.03 2.98 3.4 3.37 3.35 3.3 3.69 3.67 3.65 3.62 4.04 4.03 4.02 3.99 3.94 4.66 4.63 4.57 4.58 4.54 4.53 5.52 5.49 5.47 6.24 6.19 6.14 6.06 6.07

2.73 2.71 3.09 3.06 3.07 3.05 3.03 2.98 3.4 3.37 3.35 3.3 3.69 3.67 3.65 3.62 4.04 4.03 4.02 3.99 3.94 4.66 4.63 4.57 4.58 4.54 4.53 5.52 5.49 5.47 6.24 6.19 6.14 6.06 6.07

19.8 23.3 15.2 17.5 20 24.7 29.2 35.6 24.6 30.4 35.9 46.5 29.1 36 42.7 52.4 34.9 39 43.1 51 66.3 58 68.8 83.5 89.7 98.7 110 122 145 159 125 164 201 235 246

13 Radius of Gyration Axis Axis rz ry

15 Elastic Modulus Axis Axis Sz Sy


cm4 11

cm 13

cm3 15

cm3 15

cm 14

N/A

0.8

3.42

0.60

1.24

N/A N/A N/A N/A N/A N/A N/A N/A N/A

1 1.6 2 2.4 2.8 3.6 4.2 4.6 5.8

4.66 5.66 7.71 9.85 8.88 12.04 15.45 13.04 17.81

0.59 0.75 0.74 0.73 0.90 0.89 0.87 1.06 1.04

1.27 1.42 1.45 1.48 1.60 1.63 1.67 1.79 1.83

14

19.8 23.3 15.2 17.5 20 24.7 29.2 35.6 24.6 30.4 35.9 46.5 29.1 36 42.7 52.4 34.9 39 43.1 51 66.3 58 68.8 83.5 89.7 98.7 110 122 145 159 125 164 201 235 246

10 11 Second Moment of Area Axis Axis Iz Iy 12

12

19.8 23.3 15.2 17.5 20 24.7 29.2 35.6 24.6 30.4 35.9 46.5 29.1 36 42.7 52.4 34.9 39 43.1 51 66.3 58 68.8 83.5 89.7 98.7 110 122 145 159 125 164 201 235 246

cm3 16

14

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

7 8.2 6.8 9 10.8 12.6 10 13 15.8 18.4 13.8 18.2 22 25.8 29.2 32.6 29.4 34.6 44 52.6 31.6 38.4 45.2 58 69.6 49.4 58.2 74.8 90 62.2 73.6 84.6 94.8 114.4 77.4 91.4 118 142.8 112 145 175.4 204 160.2 208 254 296 222 256 290 354 414 498 394 480 562

22.57 27.45 18.56 25.05 31.67 38.46 25.22 34.23 43.23 52.40 33.42 45.24 56.95 69.00 81.16 93.07 72.83 88.25 119.62 151.17 73.14 91.56 110.81 150.34 191.10 113.81 137.60 186.30 236.42 139.54 169.57 199.30 229.43 290.16 169.73 204.91 276.91 349.96 245.65 332.22 418.98 507.54 341.05 460.06 582.55 701.42 459.14 538.83 619.33 782.14 944.68 1189.38 812.95 1023.88 1238.14

1.03 1.03 1.21 1.21 1.20 1.19 1.38 1.37 1.36 1.35 1.53 1.53 1.52 1.51 1.49 1.48 1.67 1.66 1.64 1.62 1.83 1.83 1.82 1.80 1.78 1.99 1.98 1.96 1.94 2.14 2.14 2.12 2.11 2.10 2.31 2.30 2.27 2.26 2.46 2.44 2.41 2.39 2.76 2.75 2.73 2.71 3.08 3.06 3.07 3.04 3.03 2.99 3.39 3.37 3.35

1.86 1.89 1.99 2.02 2.05 2.07 2.19 2.22 2.25 2.27 2.38 2.41 2.44 2.46 2.49 2.51 2.63 2.65 2.70 2.75 2.79 2.82 2.85 2.90 2.95 3.02 3.04 3.09 3.14 3.21 3.24 3.26 3.29 3.34 3.42 3.44 3.48 3.54 3.64 3.69 3.72 3.78 4.03 4.08 4.13 4.17 4.43 4.43 4.48 4.52 4.57 4.62 4.88 4.93 4.97

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A 8

9 N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

714 510 626 736 890 662 736 810 952 1218 1268 1492 1796 1918 2100 2320 3180 3740 4080 3660 4740 5760 6660 6940 10

1671.26 1041.13 1308.45 1581.59 1989.45 1311.60 1489.23 1649.75 1991.86 2681.13 2491.02 3003.41 3736.38 4032.64 4519.12 5075.22 6307.17 7614.37 8493.04 6906.12 9271.04 11623.63 13945.44 14648.67 11

3.46

3.42

4.70 5.73 7.75 9.89 8.92 12.08 15.37 13.14 17.77 22.51 27.47 18.48 25.11 31.63 38.44 25.26 34.25 43.23 52.36 33.34 45.34 56.95 69.00 81.16 93.07 72.83 88.25

4.66 5.66 7.71 9.85 8.88 12.04 15.45 13.04 17.81 22.57 27.45 18.56 25.05 31.67 38.46 25.22 34.23 43.23 52.40 33.42 45.24 56.95 69.00 81.16 93.07 72.83 88.25

3.30 3.68 3.67 3.65 3.62 4.04 4.01 4.02 3.99 3.94 4.66 4.63 4.57 4.58 4.54 4.54 5.52 5.50 5.47 6.25 6.19 6.14 6.06 6.07

5.05 5.26 5.30 5.35 5.41 5.68 5.70 5.73 5.77 5.85 6.53 6.57 6.59 6.64 6.66 6.72 7.78 7.84 7.89 8.58 8.66 8.72 8.77 8.82

12

13

1.94 1.93 1.92 1.90

1.94 1.93 1.92 1.90

2.11 2.10

2.11 2.10

14

15

14


119.62 151.17 73.14 91.56 110.81 150.34 191.10 113.81 137.60 186.30 236.42 139.54 169.57 199.30 229.43 290.16 169.73 204.91 276.91 349.96 245.45 332.22 418.98 507.54 339.25 458.06 580.55 699.42 457.14 534.83 617.33 780.14 942.68 1189.38 812.95 1023.88 1238.14 1671.26 1033.13 1302.45 1575.59 1983.45 1311.60 1487.23 1649.75 1991.86 2681.13 2493.02 3003.41 3736.38 4032.64 4519.12 5085.22 6309.17 7622.37

119.62 151.17 73.14 91.56 110.81 150.34 191.10 113.81 137.60 186.30 236.42 139.54 169.57 199.30 229.43 290.16 169.73 204.91 276.91 349.96 245.65 332.22 418.98 507.54 341.05 460.06 582.55 701.42 459.14 538.83 619.33 782.14 944.68 1189.38 812.95 1023.88 1238.14 1671.26 1041.13 1308.45 1581.59 1989.45 1311.60 1489.23 1649.75 1991.86 2681.13 2491.02 3003.41 3736.38 4032.64 4519.12 5075.22 6307.17 7614.37

2.07 2.03

2.07 2.03

2.31 2.29 2.27 2.23 2.51 2.50 2.47 2.44 2.71 2.70

2.31 2.29 2.27 2.23 2.51 2.50 2.47 2.44 2.71 2.70

2.67 2.64 2.92 2.91 2.88 2.84 3.11 3.08 3.04 3.01 3.50 3.47 3.44 3.41 3.91

2.67 2.64 2.92 2.91 2.88 2.84 3.11 3.08 3.04 3.01 3.50 3.47 3.44 3.41 3.91

3.88 3.85 3.82

3.88 3.85 3.82

4.28 4.25 4.22

4.28 4.25 4.22

5.10

5.10

5.07 5.03

5.07 5.03

5.86 5.83 5.78

5.86 5.83 5.78

5.73

5.73

8 Toe Radius

N/A N/A N/A N/A N/A N/A 9

r2 mm 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 5 5 5 6

10 N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

8487.04 8493.04 6914.12 6906.12 9279.04 9271.04 11633.63 11623.63 13943.44 13945.44 14648.67 14648.67 10 11 Second Moment of Area Axis Axis Iz Iy cm4 11 1.2 1.55 1.86 2.95 3.82 4.62 5.36 4.37 5.68 6.9 8.03 5.89 7.65 9.3 10.9 16.9 19.9 25.4 22.1 26 33.2 27.2 32 41 49.3 34.1 40.3 51.8 62.3 40.6 48 61.9 74.7 70.9 91.8 111 129 97.3 126 154 101

12 0.415 0.532 0.636 0.874 1.13 1.36 1.56 1.55 2 2.42 2.8 1.59 2.06 2.49 2.88 5.97 6.99 8.84 8.63 10.1 12.8 8.8 10.3 13.1 15.6 12.2 14.3 18.3 21.8 12.3 14.4 18.5 22.1 25.4 32.6 39.3 45.4 32.7 42.2 51 48.7

7.84

7.84

7.63

7.63

12

13

14

15

14

Radius of Gyration Axis Axis rz ry

Elastic Modulus Axis Axis Sz Sy


cm 13 0.922 0.916 0.908 1.25 1.25 1.24 1.23 1.42 1.41 1.4 1.39 1.59 1.58 1.57 1.56 1.89 1.88 1.86 2.05 2.04 2.02 2.22 2.21 2.19 2.16 2.38 2.37 2.35 2.33 2.55 2.54 2.52 2.49 2.86 2.84 2.82 2.79 3.19 3.17 3.15 3.15

cm3 15 0.595 0.783 0.959 1.09 1.44 1.77 2.09 1.42 1.87 2.31 2.72 1.75 2.3 2.84 3.35 4.17 4.96 6.46 4.98 5.92 7.71 5.75 6.84 8.92 10.9 6.69 7.96 10.4 12.7 7.52 8.96 11.7 14.4 11.6 15.2 18.7 22 14.3 18.8 23.2 14.4

cm3 15 0.595 0.783 0.959 1.09 1.44 1.77 2.09 1.42 1.87 2.31 2.72 1.75 2.3 2.84 3.35 4.17 4.96 6.46 4.98 5.92 7.71 5.75 6.84 8.92 10.9 6.69 7.96 10.4 12.7 7.52 8.96 11.7 14.4 11.6 15.2 18.7 22 14.3 18.8 23.2 14.4

cm 14 0.541 0.537 0.531 0.683 0.677 0.671 0.663 0.843 0.837 0.829 0.821 0.824 0.819 0.811 0.803 1.12 1.11 1.1 1.28 1.27 1.25 1.26 1.25 1.24 1.22 1.42 1.41 1.4 1.38 1.4 1.39 1.37 1.36 1.71 1.69 1.67 1.65 1.85 1.83 1.81 2.19

cm3 16 0.275 0.363 0.446 0.454 0.598 0.735 0.866 0.669 0.882 1.08 1.28 0.677 0.893 1.1 1.3 1.97 2.33 3.03 2.52 3 3.9 2.55 3.02 3.93 4.79 3.18 3.77 4.92 5.99 3.16 3.77 4.92 6.01 5.52 7.22 8.84 10.4 6.51 8.54 10.5 8.52

6 6 6 6 6 6 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3.5 3.5 3.5 3.5 3.5 4 4 4 4 4 4 4 4.5 4.5 4.5 4.5 4.5


132 160 188 188 245 300 206 268 328 385 410 502 590 474 582 685 878 1228 1449 1870 1409 1666 2155 2615 2.8 3.59 4.32 15.6 18.2 22.9 23.2 27.2 31.1 34.8 28.5 33.5 38.3 42.9 46.4 38.2 44.9 51.4 57.6 51.4 59 66.3 73.4 84.3 94.9 115 89.7 103 116 141 113

63.3 76.9 89.5 51.6 67.2 81.6 104 135 164 192 71.1 86.3 100 244 299 351 447 215 251 320 689 812 1045 1261 0.47 0.596 0.71 2.6 3.02 8.07 11.9 14 15.9 17.7 12.2 14.3 16.2 18.1 16.5 6.49 7.59 8.63 9.61 24.8 28.4 31.8 32.3 37 41.5 49.9 15.3 17.4 19.5 23.4 37.8

3.14 3.12 3.1 4.01 4 3.97 3.99 3.97 3.95 3.92 4.85 4.82 4.79 4.78 4.76 4.74 4.69 6.48 6.46 6.4 6.41 6.39 6.33 6.28 1.27 1.26 1.25 1.9 1.89 1.87 2.05 2.03 2.02 2.01 2.22 2.21 2.2 2.18 2.36 2.56 2.55 2.54 2.53 2.52 2.51 2.5 2.85 2.84 2.83 2.81 3.21 3.2 3.18 3.16 3.18

2.18 2.16 2.14 2.11 2.09 2.07 2.83 2.81 2.79 2.77 2.02 2 1.98 3.43 3.41 3.39 3.34 2.71 2.69 2.65 4.48 4.46 4.41 4.36 0.522 0.514 0.507 0.779 0.771 1.11 1.47 1.46 1.45 1.44 1.45 1.44 1.43 1.42 1.41 1.06 1.05 1.04 1.03 1.75 1.74 1.73 1.89 1.88 1.87 1.85 1.32 1.31 1.31 1.29 1.84

19.1 23.6 27.9 22.2 29.4 36.3 23.4 30.9 38.1 45.1 42 51.9 61.6 45.1 55.8 66.2 86.2 94.3 112 146 101 120 157 193 1.09 1.42 1.73 4.04 4.78 5.79 5.14 6.1 7.03 7.93 5.94 7.04 8.12 9.17 9.24 7.35 8.73 10.1 11.4 9.29 10.7 12.2 11.8 13.7 15.5 19 13.8 16 18.1 22.2 16.7

11.2 13.8 16.3 8.74 11.5 14.2 14.3 18.8 23.1 27.3 11.9 14.7 17.3 28 34.5 40.8 53 26.9 31.9 41.3 60.2 71.4 93.2 114 0.301 0.393 0.48 1.12 1.32 2.74 3.19 3.77 4.34 4.89 3.21 3.81 4.38 4.93 4.39 2.06 2.44 2.81 3.16 5.49 6.34 7.16 6.53 7.55 8.54 10.4 3.85 4.46 5.04 6.17 7.59

19.1 23.6 27.9 22.2 29.4 36.3 23.4 30.9 38.1 45.1 42 51.9 61.6 45.1 55.8 66.2 86.2 94.3 112 146 101 120 157 193 1.09 1.42 1.73 4.04 4.78 5.79 5.14 6.1 7.03 7.93 5.94 7.04 8.12 9.17 9.24 7.35 8.73 10.1 11.4 9.29 10.7 12.2 11.8 13.7 15.5 19 13.8 16 18.1 22.2 16.7

4.5 4.5 4.5 4.5 4.8 4.8 4.8 4.8 4.8 6 6 6 8 8 8 8

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A 9 41 63.7 85.4 106.7 128.4 150.2 170.9 192.5 240.7 288.2 332.8

8

9

8 7 7 7 7 7 7 7.5 7.5 7.5 7.5 7.5

227 277 324 356 293 357 419 458 715 533 627 761 1755 2019 2372 10 157 384 850 1576 2480 3660 5420 7760 12840 20000 30400 10

81.6 98.9 115 96.2 45.5 55.1 63.9 78.8 120 146 171 205 298 977 1144

3.82 3.8 3.78 3.95 4.34 4.32 4.29 4.83 4.75 4.8 4.77 4.74 6.39 6.33 6.29

2.29 2.27 2.25 2.06 1.71 1.7 1.68 2.01 1.95 2.51 2.49 2.46 2.63 4.4 4.37

27.8 34.3 40.6 43.4 33.6 41.4 49 47.1 75.5 53.3 63.3 77.7 137 146 174

13.3 16.4 19.3 17 8.84 10.9 12.8 13.3 21.1 21 24.8 30.4 38.3 86.7 103

27.8 34.3 40.6 43.4 33.6 41.4 49 47.1 75.5 53.3 63.3 77.7 137 146 174

157 346 817 1403 1648 1895 2532 2965 4721 7086 8347

12 2.94 3.97 5.04 6.08 7.06 8.01 9.02 9.97 11.78 13.56 15.44

13 2.93 3.76 4.94 5.74 5.75 5.77 6.17 6.17 7.14 8.07 8.09

14 40.60 74.60 133.20 207.80 279.60 363.80 478.00 610.60 848.40 1143.80 1508.20

15 37.70 66.70 122.00 182.50 214.90 251.20 314.90 368.90 516.20 699.50 824.10

14 40.60 74.60 133.20 207.80 279.60 363.80 478.00 610.60 848.40 1143.80 1508.20

11

41 63.7 85.4 106.7 128.4 150.2 170.9 192.5 240.7 288.2 332.8

157 384 850 1576 2480 3660 5420 7760 12840 20000 30400

11 86.09 154.94 321.05 516.55 604.36 691.40 901.88 1029.16 1378.14 1808.42 2103.97

12 2.94 3.97 5.04 6.08 7.06 8.01 9.02 9.97 11.78 13.56 15.44

13 2.17 2.52 3.10 3.48 3.48 3.48 3.68 3.63 3.86 4.08 4.06

14 40.60 74.60 133.20 207.80 279.60 363.80 478.00 610.60 848.40 1143.80 1508.20

15 13.70 21.30 37.20 54.70 63.70 72.90 90.50 105.90 125.60 150.00 174.70

14 40.60 74.60 133.20 207.80 279.60 363.80 478.00 610.60 848.40 1143.80 1508.20

9 334.4 334.4 334.4 334.4 334.4 334.4 379.20 379.20 379.20 379.20 379.20

10 37271.73 40833.44 48161.00 55765.07 65666.73 80287.31 51554.10 56009.80 65149.40 74597.50 86849.10

11 1955.43 2222.10 2755.43 3288.77 3955.43 4888.77 2167.30 2434.00 2967.30 3500.70 4167.30

12 17.74 17.97 18.39 18.76 19.18 19.72 19.74 19.98 20.42 20.81 21.25

13 4.06 4.19 4.40 4.56 4.71 4.87 4.05 4.17 4.36 4.51 4.66

14 1774.84 1926.11 2229.68 2534.78 2918.52 3460.66 2193.79 2363.28 2703.29 3044.80 3473.96

15 195.54 222.21 275.54 328.88 395.54 488.88 216.73 243.40 296.73 350.07 416.73

14 1774.84 1926.11 2229.68 2534.78 2918.52 3460.66 2193.79 2363.28 2703.29 3044.80 3473.96

7.5 7.5 8.5 8.5 8.5 8.5 8.5 8.5 8.5 9 9 9 9 9 9 9 10 10 10 10 10 10 10 8 4.5 5.5 6.5 7 7 7 7.5 8.5 9 10 8

8

8

8

379.20 379.20 424.10 424.10 424.10 424.10 424.10 424.10 424.10 467.50 467.50 467.50 467.50 467.50 467.50 467.50 509.70 509.70 509.70 509.70 509.70 509.70 509.70 9 113.4 154.2 194.1 240.2 288 334.4 379.2 424.1 467.5 510.7 9 640.0 740.0 840.0 940.0 1140.0 9 270.0 360.0 400.0 440.0 9 520.0 620.0 700.0 800.0 880.0 9 486.0 582.0

104843.70 5100.70 126644.10 6167.30 77735.00 3974.00 84547.10 4494.80 98486.60 5536.50 112851.60 6578.10 131416.20 7880.20 158564.40 9703.10 191285.00 11786.50 104097.80 4438.00 112277.40 4958.80 128981.90 6000.50 146151.90 7042.10 168279.00 8344.20 200519.70 10167.10 239210.30 12250.50 151354.30 8112.30 163734.70 9204.60 188975.60 11389.10 214863.70 13573.70 248146.30 16304.30 296492.90 20127.30 354298.30 24496.30 10 11 3033.40 1024.60 7079.07 1924.67 14600.27 3993.17 23023.60 4953.90 33075.30 5037.70 73418.40 9622.10 96700.80 9834.00 126378.30 10369.80 162403.60 10833.80 207173.00 11651.00 10 11 234908.00 13518.00 317593.00 13520.81 439524.00 13556.00 561970.67 13562.67 863064.00 13576.00 10 11 23213.25 23213.25 73365.33 73365.33 128385.40 128385.40 208492.00 208492.00 10 11 400394.67 144034.67 650308.00 228708.00 1212416.60 426824.17 1755500.00 607680.00 2881577.30 1000469.33 10 11 141200.00 11270.00 215300.00 12180.00

21.82 22.41 21.99 22.25 22.72 23.14 23.61 24.20 24.81 23.91 24.18 24.66 25.09 25.58 26.20 26.84 26.22 26.51 27.03 27.50 28.01 28.66 29.32 12 7.43 9.64 11.88 14.07 16.16 19.23 21.34 23.40 25.38 27.38 12 29.17 33.04 35.54 39.08 46.00 12 11.65 15.53 17.38 19.23 12 26.18 30.83 34.65 39.24 43.09 12 24.97 28.75

4.81 4.94 4.97 5.13 5.39 5.59 5.78 5.99 6.16 4.94 5.08 5.32 5.51 5.70 5.90 6.07 6.07 6.29 6.64 6.91 7.18 7.47 7.71 13 4.13 5.02 6.21 6.53 6.31 6.96 6.81 6.71 6.56 6.50 13 7.00 6.82 6.24 6.07 5.77 13 11.65 15.53 17.38 19.23 13 15.70 18.29 20.56 23.09 25.39 13 7.05 6.84

4079.52 510.07 4079.52 4779.02 616.73 4779.02 2989.81 317.92 2989.81 3226.99 359.58 3226.99 3702.50 442.92 3702.50 4179.69 526.25 4179.69 4778.77 630.42 4778.77 5622.85 776.25 5622.85 6596.03 942.92 6596.03 3652.55 355.04 3652.55 3912.10 396.70 3912.10 4432.37 480.04 4432.37 4954.30 563.37 4954.30 5609.30 667.54 5609.30 6531.59 813.37 6531.59 9026.80 980.04 9026.80 4882.40 507.02 4882.40 5247.91 575.29 5247.91 5980.24 711.82 5980.24 6714.49 848.36 6714.49 7635.27 1019.02 7635.27 8930.51 1257.96 8930.51 10420.54 1531.02 10420.54 14 15 14 404.45 113.84 404.45 707.91 174.97 707.91 1168.02 285.23 1168.02 1534.91 330.26 1534.91 1890.02 335.85 1890.02 3670.92 641.47 3670.92 4297.81 655.60 4297.81 5055.13 691.32 5055.13 5905.59 722.25 5905.59 6905.77 776.73 6905.77 14 15 14 6711.66 901.20 6711.66 7939.83 901.39 7939.83 9767.20 903.73 9767.20 11239.41 904.18 11239.41 14384.40 905.07 14384.40 14 15 14 1547.55 1547.55 1547.55 3668.27 3668.27 3668.27 5706.02 5706.02 5706.02 8339.68 8339.68 8339.68 14 15 14 13346.49 4801.16 13346.49 18580.23 6534.51 18580.23 30310.42 10670.60 30310.42 39011.11 13504.00 39011.11 57631.55 20009.39 57631.55 14 15 14 4787.00 751.40 4787.00 6241.00 811.90 6241.00

674.0 770.0 r2 8

8

h 9 123.6 160.8 160.8 200.3 200.3 246.7 246.7 290.2 290.2 9 520 1028 1120 0 0 0

303400.00 422100.00 Iz 10 1748.00 4568.00 6125.00 14270.00 17510.00 22250.00 32810.00 40250.00 48590.00 10 400394.67 1243259.87 1679829.33 0.00 0.00 0.00

12640.00 13550.00 Iy 11 560.50 1548.00 2065.00 4857.00 5928.00 7308.00 10700.00 14610.00 17550.00 11 144034.67 55074.69 61347.33 0.00 0.00 0.00

32.58 36.29 rz 12 6.76 8.82 8.96 11.22 11.33 13.42 13.72 15.65 15.79 12 26.18 42.32 45.60 #DIV/0! #DIV/0! #DIV/0!

6.65 6.50 ry

7682.00 9485.00 Sz

13 14 221.80 3.83 449.60 5.13 584.00 5.20 6.55 1096.00 6.59 1313.00 7.69 1445.00 7.83 2048.00 9.43 2264.00 9.49 2684.00 13 14 15.70 13346.49 8.91 22604.72 8.71 27997.16 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

842.60 903.20 Sy

7682.00 9485.00 Sz

15 14 73.31 221.80 152.10 449.60 200.60 584.00 379.00 1096.00 458.10 1313.00 478.70 1445.00 692.10 2048.00 792.80 2264.00 947.50 2684.00 15 14 4801.16 13346.49 2447.76 22604.72 2726.55 27997.16 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

Plastic/Elastic Modulus Axis y-y Sy cm3

Area of Section A cm2

15 5.16 11 12.5 18 27.4 39.7 53.5 69.5 76.8 88.9 111 152 193 252 15 Elastic Modulus Axis y-y Sy cm3 15 4.81

18 11.4 17 19.1 25 30.8 39.7 47.5 58.6 66.7 78.4 92.2 111 132 156 18 Area of Section A

cm

19 1.47 2.88 3.15 5.21 7.84 14.00 18.88 25.35 32.67 47.25 64.66 78.14 115.91 150.51

20 1.05 1.51 1.57 1.76 2.11 2.34 2.65 2.86 2.84 2.82 3.01 3.52 3.73 4.12

19 Torsional Constant Inertia J

9.1

7.71

12.2

2.05

13.4

16.7

3.38

19.5

21.3

5.27

23

24.9

7.26

26.4

28.5

9.8

33

33.3

13.25

38.5

39

18.78

47.1

46.3

21.37

57.3

54.4

67

63.8

cm

3

18 Area of Section

20

2

21 I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION 21

Axis rv cm 20 21 1.19 CHANNEL SECTION 1.48 CHANNEL SECTION

22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22

22 Rolled Section Rolled Section

1.91 CHANNEL SECTION 2.2 CHANNEL SECTION

Rolled Section


Rolled Section


Rolled Section Rolled Section

25.58


35.44

2.82 CHANNEL SECTION

Rolled Section

19

20

Axis

rv

A cm

Axis rv

cm4

cm4 19 1.43

15 Elastic Modulus Axis Sy

cm2 18

Torsional Constant Inertia J

cm

21

Rolled Section Rolled Section Rolled Section Rolled Section

22

16 0.3 0.4 0.4 0.6 0.7 0.6 0.8 1 0.9 1.2 1.4 1.7 1.2 1.6 1.9 2.3 1.5 2 2.5 2.9 1.9 2.5 3.1 3.6 4.16 4.68 3.7 4.4 5.7 7 3.58 4.4 5.2 6.8 8.4 5.2 6.2 8.1 9.9 6.1 7.3 8.41 9.5 11.7 7.1 8.4 11 13.5 9.6 12.6 15.5 18.3 12.2 16

19 1.12 1.45 1.41 1.84 2.25 1.73 2.26 2.77 2.03 2.66 3.27 3.86 2.34 3.07 3.78 4.47 2.64 3.47 4.28 5.07 2.95 3.88 4.79 5.68 6.56 7.41 5.27 6.26 8.18 10 4.71 5.75 6.84 8.96 11 6.25 7.44 9.76 12 6.77 8.06 9.4 10.6 13 7.27 8.66 11.4 14 9.29 12.2 15.1 17.8 10.5 13.8

0.03 0.08 0.04 0.10 0.19 0.05 0.12 0.23 0.06 0.14 0.27 0.46 0.07 0.16 0.31 0.53 0.08 0.18 0.35 0.60 0.09 0.20 0.40 0.68 1.06 1.57 0.44 0.75 1.74 3.33 0.25 0.48 0.82 1.91 3.67 0.52 0.89 2.08 4.00 0.56 0.96 1.52 2.25 4.33 0.60 1.04 2.42 4.67 1.11 2.59 5.00 8.52 1.25 2.94

25 0.377 0.377 0.474 0.473 0.473 0.576 0.573 0.572 0.68 0.675 0.672 0.671 0.783 0.777 0.773 0.77 0.886 0.879 0.874 0.871 0.99 0.982 0.976 0.972 0.965 0.963 1.07 1.07 1.06 1.06 1.18 1.17 1.17 1.16 1.16 1.27 1.27 1.26 1.25 1.38 1.37 1.36 1.36 1.35 1.48 1.47 1.46 1.45 1.57 1.56 1.55 1.55 1.78 1.77

26 SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION

Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section

19.8 23.3 15.2 17.5 20 24.7 29.2 35.6 24.6 30.4 35.9 46.5 29.1 36 42.7 52.4 34.9 39 43.1 51 66.3 58 68.8 83.5 89.7 98.7 110 122 145 159 125 164 201 235 246 15 Elastic Modulus Axis Sy 3

cm 16

17.1 20.2 11.7 13.7 15.4 19.1 22.6 27.9 17.1 21.1 25.1 32.8 18.8 23.3 27.6 34 20.3 22.9 25.1 29.9 39.2 29.2 34.8 43 45.7 51 56.2 52.1 61.9 68.3 46.9 61.8 76.4 90.6 94.1 18 Area of Section

5.67 9.68 1.40 2.21 3.28 6.33 10.83 20.81 3.62 7.00 11.98 27.85 3.96 7.67 13.13 25.31 4.30 6.10 8.33 14.28 33.31 9.67 16.59 32.06 38.78 54.82 74.67 38.81 66.48 90.67 22.35 52.43 101.33 173.26 195.31 19

1.76 1.75 1.98 1.98 1.97 1.96 1.95 1.93 2.17 2.16 2.15 2.14 2.38 2.37 2.35 2.34 2.58 2.58 2.57 2.56 2.54 2.98 2.96 2.93 2.94 2.92 2.92 3.54 3.52 3.51 3.99 3.96 3.93 3.9 3.91 20

SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION 21

Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22

Axis

rv

A 2

cm 25

cm 19

2.24 2.9 2.82 3.68 4.5 3.46 4.52 5.54 4.06 5.32

0.07 0.15 0.08 0.20 0.38 0.10 0.24 0.46 0.12 0.28

0.377 0.377 0.474 0.473 0.473 0.576 0.573 0.572 0.68 0.675

DOUBLE ANGLE SECTION

Built-up Section

DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION

Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section

6.54 7.72 4.68 6.14 7.56 8.94 5.28 6.94 8.56 10.14 5.9 7.76 9.58 11.36 13.12 14.82 10.54 12.52 16.36 20 9.42 11.5 13.68 17.92 22 12.5 14.88 19.52 24 13.54 16.12 18.8 21.2 26 14.54 17.32 22.8 28 18.58 24.4 30.2 35.6 21 27.6 34.2 40.4 23.4 27.4 30.8 38.2 45.2 55.8 34.2 42.2 50.2

0.54 0.92 0.14 0.32 0.63 1.07 0.16 0.37 0.71 1.21 0.17 0.41 0.79 1.35 2.13 3.14 0.88 1.50 3.48 6.67 0.49 0.96 1.64 3.82 7.33 1.04 1.79 4.16 8.00 1.13 1.93 3.04 4.51 8.67 1.21 2.07 4.85 9.33 2.22 5.19 10.00 17.05 2.51 5.87 11.33 19.35 2.79 4.41 6.55 12.67 21.66 41.63 7.24 14.00 23.96

0.672 0.671 0.783 0.777 0.773 0.77 0.886 0.879 0.874 0.871 0.99 0.982 0.976 0.972 0.965 0.963 1.07 1.07 1.06 1.06 1.18 1.17 1.17 1.16 1.16 1.27 1.27 1.26 1.25 1.38 1.37 1.36 1.36 1.35 1.48 1.47 1.46 1.45 1.57 1.56 1.55 1.55 1.78 1.77 1.76 1.75 1.98 1.98 1.97 1.96 1.95 1.93 2.17 2.16 2.15

DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION

Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section

15

65.6 37.6 46.6 55.2 68 40.6 45.8 50.2 59.8 78.4 58.4 69.6 86 91.4 102 112.4 104.2 123.8 136.6 93.8 123.6 152.8 181.2 188.2

55.71 7.92 15.33 26.27 50.63 8.60 12.20 16.67 28.57 66.63 19.33 33.18 64.13 77.55 109.64 149.33 77.63 132.97 181.33 44.70 104.86 202.67 346.52 390.63

2.14 2.38 2.37 2.35 2.34 2.58 2.58 2.57 2.56 2.54 2.98 2.96 2.93 2.94 2.92 2.92 3.54 3.52 3.51 3.99 3.96 3.93 3.9 3.91

18 2.24

19 0.07 0.15 0.08 0.20 0.38 0.10 0.24 0.46 0.12 0.28 0.54 0.92 0.14 0.32 0.63 1.07 0.16 0.37 0.71 1.21 0.17 0.41 0.79 1.35 2.13 3.14 0.88 1.50

20 0.377 0.377 0.474 0.473 0.473 0.576 0.573 0.572 0.68 0.675 0.672 0.671 0.783 0.777 0.773 0.77 0.886 0.879 0.874 0.871 0.99 0.982 0.976 0.972 0.965 0.963 1.07 1.07

2.90 2.82 3.68 4.50 3.46 4.52 5.54 4.06 5.32 6.54 7.72 4.68 6.14 7.56 8.94 5.28 6.94 8.56 10.14 5.90 7.76 9.58 11.36 13.12 14.82 10.54 12.52

DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION DOUBLE ANGLE SECTION

Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section

21 STAR ANGLE SECTION

22 Built-up Section

STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION

Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section

16.36 20.00 9.42 11.50 13.68 17.92 22.00 12.50 14.88 19.52 24.00 13.54 16.12 18.80 21.20 26.00 14.54 17.32 22.80 28.00 18.58 24.40 30.20 35.60 21.00 27.60 34.20 40.40 23.40 27.40 30.80 38.20 45.20 55.80 34.20 42.20 50.20 65.60 37.60 46.60 55.20 68.00 40.60 45.80 50.20 59.80 78.40 58.40 69.60 86.00 91.40 102.00 112.40 104.20 123.80

3.48 6.67 0.49 0.96 1.64 3.82 7.33 1.04 1.79 4.16 8.00 1.13 1.93 3.04 4.51 8.67 1.21 2.07 4.85 9.33 2.22 5.19 10.00 17.05 2.51 5.87 11.33 19.35 2.79 4.41 6.55 12.67 21.66 41.63 7.24 14.00 23.96 55.71 7.92 15.33 26.27 50.63 8.60 12.20 16.67 28.57 66.63 19.33 33.18 64.13 77.55 109.64 149.33 77.63 132.97

1.06 1.06 1.18 1.17 1.17 1.16 1.16 1.27 1.27 1.26 1.25 1.38 1.37 1.36 1.36 1.35 1.48 1.47 1.46 1.45 1.57 1.56 1.55 1.55 1.78 1.77 1.76 1.75 1.98 1.98 1.97 1.96 1.95 1.93 2.17 2.16 2.15 2.14 2.38 2.37 2.35 2.34 2.58 2.58 2.57 2.56 2.54 2.98 2.96 2.93 2.94 2.92 2.92 3.54 3.52

STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION

Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section

15 Elastic Modulus Axis Sy 3

cm 16 0.275 0.363 0.446 0.454 0.598 0.735 0.866 0.669 0.882 1.08 1.28 0.677 0.893 1.1 1.3 1.97 2.33 3.03 2.52 3 3.9 2.55 3.02 3.93 4.79 3.18 3.77 4.92 5.99 3.16 3.77 4.92 6.01 5.52 7.22 8.84 10.4 6.51 8.54 10.5 8.52

136.60 181.33 93.80 44.70 123.60 104.86 152.80 202.67 181.20 346.52 188.20 390.63 18 19 Area Torsional of Constant Inertia Section A cm 19 1.41 1.84 2.25 1.88 2.46 3.02 3.56 2.18 2.86 3.52 4.16 2.34 3.07 3.78 4.47 4.76 5.65 7.37 5.26 6.25 8.17 5.52 6.56 8.58 10.5 6.02 7.16 9.38 11.5 6.27 7.46 9.78 12 8.66 11.4 14 16.6 9.57 12.6 15.5 10.1

STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION STAR ANGLE SECTION 21

Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section Built-up Section 22

SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION

Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section

Axis

rv

J 2

3.51 3.99 3.96 3.93 3.9 3.91 20

cm

4

0.04 0.10 0.19 0.06 0.13 0.25 0.42 0.06 0.15 0.29 0.50 0.07 0.16 0.31 0.53 0.40 0.68 1.57 0.44 0.75 1.74 0.46 0.78 1.83 3.50 0.50 0.86 2.00 3.83 0.52 0.89 2.08 4.00 1.04 2.42 4.67 7.95 1.14 2.68 5.17 1.22

cm 25 0.415 0.414 0.415 0.529 0.527 0.525 0.524 0.643 0.639 0.635 0.633 0.644 0.64 0.636 0.633 0.853 0.849 0.845 0.964 0.96 0.953 0.968 0.964 0.957 0.953 1.08 1.08 1.07 1.06 1.08 1.07 1.07 1.06 1.3 1.29 1.28 1.28 1.41 1.4 1.39 1.61

11.2 13.8 16.3 8.74 11.5 14.2 14.3 18.8 23.1 27.3 11.9 14.7 17.3 28 34.5 40.8 53 26.9 31.9 41.3 60.2 71.4 93.2 114 0.301 0.393 0.48 1.12 1.32 2.74 3.19 3.77 4.34 4.89 3.21 3.81 4.38 4.93 4.39 2.06 2.44 2.81 3.16 5.49 6.34 7.16 6.53 7.55 8.54 10.4 3.85 4.46 5.04 6.17 7.59

13.4 16.5 19.6 11.6 15.4 19 12.9 17 21.1 25 17.5 21.6 25.7 20.7 25.7 30.5 40 29.2 34.8 45.7 34.3 40.9 53.7 66.3 1.73 2.26 2.77 4.29 5.08 6.55 5.54 6.58 7.6 8.6 5.79 6.88 7.95 9 8.31 5.8 6.89 7.96 9.01 8.11 9.38 10.6 9.01 10.4 11.8 14.6 8.73 10.1 11.4 14.1 11.2

2.85 5.50 9.39 1.40 3.28 6.33 1.54 3.62 7.00 11.98 3.70 7.17 12.27 4.39 8.50 14.57 34.00 9.67 16.59 38.78 11.33 19.47 45.60 88.00 0.05 0.12 0.23 0.35 0.60 1.06 0.46 0.78 1.23 1.83 0.48 0.82 1.29 1.91 1.35 0.48 0.82 1.29 1.91 0.96 1.52 2.25 1.07 1.69 2.51 4.83 1.04 1.63 2.42 4.67 1.81

1.6 1.59 1.58 1.63 1.62 1.61 2.06 2.05 2.04 2.02 1.62 1.6 1.59 2.49 2.48 2.47 2.44 2.17 2.15 2.13 3.28 3.26 3.23 3.21 0.421 0.417 0.416 0.629 0.626 0.852 1.07 1.06 1.06 1.05 1.08 1.07 1.07 1.07 1.07 0.85 0.845 0.842 0.838 1.29 1.28 1.27 1.41 1.4 1.39 1.38 1.06 1.06 1.05 1.05 1.41

SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION

Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section

13.3 16.4 19.3 17 8.84 10.9 12.8 13.3 21.1 21 24.8 30.4 38.3 86.7 103

15.5 19.2 22.7 22.7 15.5 19.2 22.7 19.6 31.7 23.2 27.5 33.9 43 50.5 60

3.28 6.33 10.83 10.83 3.28 6.33 10.83 5.25 23.63 7.67 13.13 25.31 32.06 37.69 64.54

1.74 1.73 1.72 1.61 1.38 1.37 1.36 1.61 1.58 1.95 1.94 1.93 2.12 3.22 3.21

SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION SINGLE ANGLE SECTION

Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section

15 37.70 66.70 122.00 182.50 214.90 251.20 314.90 368.90 516.20 699.50 824.10

18 18.2 24.4 33.4 42.6 49.8 57 66.6 78 92.6 108.8 127.6

19 2.55 3.57 5.45 8.61 12.46 17.20 23.47 34.69 37.80 43.79 62.87

20 1.18 1.47 1.9 2.19 2.2 2.21 2.36 2.37 2.59 2.81 2.81

21 RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION

15 13.70 21.30 37.20 54.70 63.70 72.90 90.50 105.90 125.60 150.00 174.70

18 18.2 24.4 33.4 42.6 49.8 57 66.6 78 92.6 108.8 127.6

19 2.55 3.57 5.45 8.61 12.46 17.20 23.47 34.69 37.80 43.79 62.87

20 1.18 1.47 1.9 2.19 2.2 2.21 2.36 2.37 2.59 2.81 2.81

I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION

22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section

19 60.59 70.29 101.87 153.92 255.59 484.16 77.99 87.70 119.27 171.32 272.99

20 4.06 4.19 4.40 4.56 4.71 4.87 4.05 4.17 4.36 4.51 4.66

21 I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES

22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section

15 195.54 222.21 275.54 328.88 395.54 488.88 216.73 243.40 296.73 350.07 416.73

18 118.46 126.46 142.46 158.46 178.46 206.46 132.27 140.27 156.27 172.27 192.27

21

510.07 616.73 317.92 359.58 442.92 526.25 630.42 776.25 942.92 355.04 396.70 480.04 563.37 667.54 813.37 980.04 507.02 575.29 711.82 848.36 1019.02 1257.96 1531.02 15 113.84 174.97 285.23 330.26 335.85 641.47 655.60 691.32 722.25 776.73 15 901.20 901.39 903.73 904.18 905.07 15 1547.55 3668.27 5706.02 8339.68 15 4801.16 6534.51 10670.60 13504.00 20009.39 15 751.40 811.90

220.27 501.56 252.27 917.99 160.74 94.81 170.74 106.94 190.74 146.41 210.74 211.47 235.74 338.56 270.74 624.27 310.74 1144.81 182.11 132.58 192.11 144.71 212.11 184.18 232.11 249.25 257.11 376.33 292.11 662.05 332.11 1182.58 220.21 171.84 233.01 187.37 258.61 237.89 284.21 321.17 316.21 483.84 361.01 849.56 412.21 1515.84 18 19 55.00 15.15 76.33 22.51 103.55 35.54 116.26 45.35 126.71 52.67 198.46 207.25 212.27 224.66 230.74 238.14 252.11 275.91 276.21 310.51 18 19 612.00 276.00 623.25 291.00 764.00 348.00 790.67 368.00 844.00 408.00 18 19 128.25 171.00 405.33 304.00 885.42 425.00 1692.00 564.00 18 19 584.00 2698.67 684.00 3152.00 1010.00 7296.67 1140.00 8220.00 1552.00 16277.33 18 19 397.80 226.50 513.90 260.50

4.81 4.94 4.97 5.13 5.39 5.59 5.78 5.99 6.16 4.94 5.08 5.32 5.51 5.70 5.90 6.07 6.07 6.29 6.64 6.91 7.18 7.47 7.71 20 4.13 5.02 6.21 6.53 6.31 6.96 6.81 6.71 6.56 6.50 20 7.00 6.82 6.24 6.07 5.77 20 11.65 15.53 17.38 19.23 20 15.70 18.29 20.56 23.09 25.39 20 7.05 6.84

I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES 21 I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES I SECTION WITH PLATES 21 I SECTION I SECTION I SECTION I SECTION I SECTION 21 RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION RECTANGULAR BOX SECTION 21 I SECTION I SECTION I SECTION I SECTION I SECTION 21 I SECTION I SECTION

Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22 Welded Section Welded Section Welded Section Welded Section Welded Section 22 Welded Section Welded Section Welded Section Welded Section 22 Welded Section Welded Section Welded Section Welded Section Welded Section 22 Rolled Section Rolled Section

842.60 903.20

285.80 320.50

596.90 736.80

Sy

A 18 38.26 58.73 76.37 113.30 136.40 123.40 174.40 164.30 194.80 18 584.00 694.08 808.00 0.00 0.00 0.00

J 19 10.67 22.34 47.78 102.70 173.90 91.80 251.10 152.70 251.2 19 2698.67 2998.43 4309.33 0.00 0.00 0.00

15 73.31 152.10 200.60 379.00 458.10 478.70 692.10 792.80 947.50 15 4801.16 2447.76 2726.55 #DIV/0! #DIV/0! #DIV/0!

6.65 I SECTION 6.50 I SECTION

Rolled Section Rolled Section

rv 20 3.83 5.13 5.20 6.55 6.59 7.69 7.83 9.43 9.49 20 15.70 8.91 8.71 #DIV/0! #DIV/0! #DIV/0!

21 I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION I SECTION 21 I SECTION I SECTION I SECTION CHANNEL SECTION CHANNEL SECTION CHANNEL SECTION

22 Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section Rolled Section 22 Welded Section Welded Section Welded Section Welded Section Welded Section Welded Section

Cw

polar radius of gyration r0

d'

cm6

cm

mm

warping Constant

23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23

24

25

24 Elastic Neutral Axis Cx

25

26

26

27

27

28 315.3 1565.1 2835.6 6346.1 15041.7 29745.6 57379.4 123283.6 183072.3 269746.2 457914.9 974247.4 1553477.8 2632384.2 28 warping Constant Cw cm6 28

29 4.14 5.38 6.33 7.34 8.55 9.60 10.73 12.73 14.58 16.44 18.45 20.50 22.51 24.55 29 polar radius of gyration r0

30

31 93 117 142 166 190 213.2 237.5 286.9 335.8 384 432.6 482.8 530.7 579.7

30

31

30

31

Column/Beam

cm 24 1.32

112.2

4.14

67.5

Column/Beam

1.54

445.6

5.34

92.3

Column/Beam

1.94

1698.9

6.88

116.8

Column/Beam

2.2

4236.7

8.12

141

Column/Beam

2.19

6677.0

8.82

164.8

Column/Beam

2.18

9899.1

9.59

188.6

Column/Beam

2.31

16729.3

10.62

212.6

Column/Beam

2.29

23681.5

11.34

235.9

Column/Beam

2.35

51139.8

13.16

286.4

Column/Beam

2.44

100604.4

14.96

336.5

Column/Beam

2.42

151272.2

16.57

384.7

23

23

25

24 Distance to centre of gravity Cx

25 Distance to centre of gravity Cy

cm

cm

26

26

27

27

28

cm 29

29

30

31

Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member

27 0.59 0.63 0.71 0.75 0.79 0.83 0.87 0.92 0.95 1 1.04 1.08 1.08 1.12 1.16 1.2 1.2 1.25 1.29 1.33 1.32 1.37 1.41 1.45 1.49 1.52 1.53 1.57 1.65 1.72 1.6 1.65 1.69 1.77 1.85 1.77 1.81 1.89 1.97 1.89 1.94 1.97 2.02 2.1 2.02 2.06 2.14 2.22 2.18 2.27 2.34 2.42 2.42 2.51

28 0.59 0.63 0.71 0.75 0.79 0.83 0.87 0.92 0.95 1 1.04 1.08 1.08 1.12 1.16 1.2 1.2 1.25 1.29 1.33 1.32 1.37 1.41 1.45 1.49 1.52 1.53 1.57 1.65 1.72 1.6 1.65 1.69 1.77 1.85 1.77 1.81 1.89 1.97 1.89 1.94 1.97 2.02 2.1 2.02 2.06 2.14 2.22 2.18 2.27 2.34 2.42 2.42 2.51

0.009 0.021 0.019 0.043 0.079 0.035 0.078 0.144 0.056 0.128 0.238 0.393 0.086 0.195 0.366 0.608 0.123 0.283 0.533 0.889 0.171 0.393 0.744 1.246 1.916 2.769 1.005 1.687 3.773 6.944 0.694 1.320 2.222 4.995 9.243 1.695 2.860 6.456 12.000 2.136 3.609 5.604 8.178 15.257 2.646 4.479 10.181 19.056 5.478 12.486 23.438 38.902 7.902 18.092

1.03 1.02 1.30 1.29 1.27 1.58 1.58 1.56 1.87 1.87 1.85 1.83 2.16 2.15 2.13 2.11 2.45 2.44 2.42 2.40 2.72 2.72 2.70 2.68 2.65 2.62 2.98 2.96 2.92 2.87 3.26 3.25 3.24 3.20 3.16 3.54 3.52 3.48 3.44 3.82 3.81 3.77 3.76 3.73 4.12 4.10 4.06 4.02 4.38 4.35 4.29 4.25 4.93 4.90

18.5 18 23.5 23 22.5 28.5 28 27.5 33.5 33 32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52 51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86

Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member 23

Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member

2.59 2.66 2.67 2.69 2.76 2.84 2.92 3.02 3 3.09 3.17 3.32 3.23 3.31 3.4 3.51 3.5 3.55 3.59 3.67 3.82 4.08 4.16 4.25 4.31 4.37 4.46 4.98 5.1 5.18 5.39 5.56 5.7 5.84 5.9

2.59 2.66 2.67 2.69 2.76 2.84 2.92 3.02 3 3.09 3.17 3.32 3.23 3.31 3.4 3.51 3.5 3.55 3.59 3.67 3.82 4.08 4.16 4.25 4.31 4.37 4.46 4.98 5.1 5.18 5.39 5.56 5.7 5.84 5.9



cm 27

cm 28 0 0 0 0 0 0 0 0 0 0

0.591 0.632 0.709 0.751 0.791 0.83 0.875 0.915 0.954 0.999

34.118 56.900 10.952 17.124 25.166 47.632 79.736 148.397 33.878 64.313 107.987 241.484 44.399 84.493 142.228 266.968 56.900 80.055 108.507 183.036 413.206 169.368 286.654 542.558 651.557 908.244 1219.556 962.429 1620.068 2183.556 700.933 1610.613 3048.444 5103.108 5722.046 26

27

28

4.86 4.81 5.51 5.45 5.48 5.44 5.40 5.30 6.05 6.01 5.97 5.87 6.58 6.54 6.51 6.44 7.20 7.19 7.17 7.12 7.02 8.31 8.26 8.14 8.16 8.08 8.06 9.83 9.78 9.74 11.12 11.04 10.94 10.79 10.81 29

85 84 97 96.5 96 95 94 92.5 106 105 104 102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171 170 194 192 190 188 187.5 30

31

0.019

1.44

18.5

0.041 0.039 0.087 0.158 0.069 0.156 0.289 0.113 0.256

1.46 1.70 1.72 1.74 1.96 1.98 2.00 2.23 2.25

18 23.5 23 22.5 28.5 28 27.5 33.5 33

Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

1.04 1.08 1.08 1.12 1.16 1.2 1.2 1.25 1.29 1.33 1.32 1.37 1.41 1.45 1.49 1.52 1.53 1.57 1.65 1.72 1.6 1.65 1.69 1.77 1.85 1.77 1.81 1.89 1.97 1.89 1.94 1.97 2.02 2.1 2.02 2.06 2.14 2.22 2.18 2.27 2.34 2.42 2.43 2.51 2.59 2.67 2.68 2.7 2.76 2.84 2.92 3.02 3 3.09 3.17

0.477 0.786 0.171 0.390 0.732 1.216 0.247 0.565 1.066 1.778 0.342 0.786 1.488 2.492 3.832 5.537 2.010 3.375 7.546 13.889 1.387 2.640 4.445 9.991 18.486 3.391 5.720 12.913 24.000 4.271 7.218 11.208 16.355 30.514 5.293 8.958 20.361 38.111 10.957 24.973 46.875 77.803 15.804 36.185 68.236 113.799 21.904 34.248 50.332 95.264 159.472 296.795 67.756 128.625 215.974

2.27 2.29 2.51 2.53 2.54 2.55 2.79 2.81 2.82 2.84 3.06 3.09 3.10 3.11 3.12 3.12 3.37 3.38 3.40 3.42 3.62 3.64 3.65 3.67 3.70 3.92 3.93 3.95 3.97 4.19 4.22 4.21 4.23 4.26 4.49 4.50 4.51 4.53 4.77 4.80 4.80 4.83 5.33 5.35 5.37 5.38 5.90 5.88 5.92 5.93 5.95 5.95 6.48 6.51 6.52

32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52 51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86 85 84 97 96.5 96 95 94 92.5 106 105 104

Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member 23 Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24

3.32 3.24 3.32 3.41 3.52 3.5 3.53 3.59 3.67 3.82 4.08 4.16 4.25 4.31 4.37 4.46 4.98 5.1 5.18 5.39 5.55 5.71 5.84 5.9 25

26

27

482.968 88.798 168.986 284.456 533.936 113.799 160.109 217.014 366.072 826.413 338.736 573.309 1085.115 1303.114 1816.487 2439.111 1924.857 3240.137 4367.111 1401.866 3221.225 6096.889 10206.216 11444.092

6.54 7.02 7.03 7.06 7.07 7.63 7.62 7.65 7.66 7.67 8.79 8.79 8.75 8.80 8.77 8.82 10.44 10.46 10.46 11.64 11.66 11.66 11.63 11.68

28 0.019

29 0.00

0.041 0.039 0.087 0.158 0.069 0.156 0.289 0.113 0.256 0.477 0.786 0.171 0.390 0.732 1.216 0.247 0.565 1.066 1.778 0.342 0.786 1.488 2.492 3.832 5.537 2.010 3.375

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.74 2.73 2.72 2.69 0.00 0.00 2.98 2.97

102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171 170 194 192 190 188 187.5 30

31 18.5 18 23.5 23 22.5 28.5 28 27.5 33.5 33 32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52


7.546 13.889 1.387 2.640 4.445 9.991 18.486 3.391 5.720 12.913 24.000 4.271 7.218 11.208 16.355 30.514 5.293 8.958 20.361 38.111 10.957 24.973 46.875 77.803 15.804 36.185 68.236 113.799 21.904 34.248 50.332 95.264 159.472 296.795 67.756 128.625 215.974 482.968 88.798 168.986 284.456 533.936 113.799 160.109 217.014 366.072 826.413 338.74 573.31 1085.12 1303.11 1816.49 2439.11 1924.86 3240.14

2.93 2.87 0.00 3.27 3.24 3.21 3.15 3.55 3.54 3.49 3.45 3.83 3.82 0.00 3.78 3.73 4.13 4.12 4.07 4.02 4.40 4.36 4.30 4.26 4.95 4.91 4.86 4.82 5.53 0.00 5.49 5.44 5.40 0.00 6.05 6.01 5.97 0.00 0.00 0.00 0.00 0.00 7.21 0.00 7.17 7.11 0.00 8.29 8.24 8.17 0.00 8.10 0.00 0.00 0.00

51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86 85 84 97 96.5 96 95 94 92.5 106 105 104 102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171

Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member 23

Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member



cm

cm

0.493 0.534 0.573 0.573 0.616 0.656 0.694 0.69 0.733 0.773 0.812 0.654 0.698 0.738 0.777 0.964 1.01 1.08 1.08 1.12 1.2 1.04 1.09 1.16 1.24 1.16 1.2 1.28 1.36 1.12 1.16 1.24 1.32 1.4 1.48 1.56 1.63 1.47 1.56 1.64 1.78

0.977 1.02 1.06 1.3 1.35 1.39 1.43 1.42 1.47 1.51 1.55 1.63 1.68 1.72 1.76 1.95 1.99 2.07 2.07 2.11 2.19 2.27 2.32 2.4 2.48 2.39 2.44 2.52 2.6 2.6 2.64 2.73 2.81 2.88 2.97 3.05 3.12 3.2 3.29 3.37 3.01

26

27

4367.11 1401.87 3221.23 6096.89 10206.22 11444.09 28

0.00 11.09 0.00 10.79 0.00 0.00 29

0.022 0.049 0.091 0.053 0.119 0.223 0.368 0.079 0.180 0.339 0.563 0.103 0.236 0.444 0.741 0.843 1.415 3.161 1.114 1.874 4.208 1.334 2.249 5.069 9.406 1.695 2.862 6.475 12.059 1.988 3.362 7.628 14.250 5.062 11.544 21.681 36.008 6.906 15.811 29.816 7.716

1.07 1.06 1.05 1.42 1.42 1.41 1.40 1.65 1.64 1.63 1.61 1.79 1.78 1.77 1.75 2.20 2.18 2.16 2.42 2.40 2.38 2.55 2.54 2.52 2.48 2.77 2.76 2.74 2.71 2.91 2.90 2.87 2.84 3.33 3.30 3.28 3.24 3.69 3.66 3.63 3.84

30

170 194 192 190 188 187.5 31

18.5 18 17.5 23.5 23 22.5 22 28.5 28 27.5 27 28.5 28 27.5 27 37.5 37 36 42.5 42 41 42.5 42 41 40 47.5 47 46 45 47.5 47 46 45 57 56 55 54 62 61 60 72


1.87 1.95 2.03 1.59 1.68 1.76 2.24 2.32 2.4 2.48 1.54 1.62 1.7 2.76 2.84 2.92 3.07 2.03 2.11 2.27 3.55 3.63 3.79 3.94 0.441 0.481 0.519 0.681 0.721 1.05 1.25 1.29 1.33 1.37 1.21 1.25 1.29 1.33 1.25 0.843 0.884 0.924 0.963 1.48 1.52 1.56 1.56 1.6 1.64 1.72 1.04 1.08 1.12 1.2 1.52

3.1 3.19 3.27 4.06 4.15 4.24 3.72 3.8 3.89 3.97 5.24 5.33 5.42 4.48 4.57 4.65 4.81 6.98 7.07 7.23 6.02 6.11 6.27 6.42 1.42 1.47 1.51 2.15 2.2 2.04 1.99 2.04 2.08 2.11 2.2 2.24 2.28 2.32 2.48 2.81 2.85 2.9 2.94 2.47 2.51 2.55 2.79 2.83 2.88 2.96 3.49 3.54 3.59 3.67 3.23

17.673 33.344 55.636 13.135 30.286 57.528 15.567 35.913 68.250 114.726 49.352 94.212 159.096 63.712 121.656 205.489 465.161 229.785 390.334 893.904 290.653 493.794 1131.085 2134.000 0.048 0.108 0.202 0.732 1.229 2.182 1.220 2.053 3.174 4.613 1.440 2.428 3.760 5.473 4.441 1.799 3.043 4.729 6.907 3.850 5.984 8.741 5.381 8.383 12.274 23.059 6.099 9.520 13.967 26.347 10.778

3.82 3.79 3.77 4.53 4.51 4.48 4.89 4.86 4.84 4.80 5.25 5.22 5.18 5.88 5.86 5.83 5.76 7.02 7.00 6.93 7.82 7.79 7.71 7.65 1.37 1.36 1.35 2.05 2.04 2.17 2.52 2.50 2.49 2.47 2.65 2.64 2.62 2.60 2.75 2.77 2.76 2.74 2.73 3.07 3.05 3.04 3.42 3.41 3.39 3.36 3.47 3.46 3.44 3.41 3.67

71 70 69 72 71 70 92 91 90 89 71 70 69 111 110 109 107 95 94 92 145 144 142 140 18.5 18 17.5 27.5 27 36.5 47.5 47 46.5 46 47.5 47 46.5 46 46.5 37.5 37 36.5 36 57 56.5 56 62 61.5 61 60 47 46.5 46 45 61.5

Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member Bracing Member

1.87 1.95 2.03 1.84 1.35 1.43 1.51 1.58 1.81 2.04 2.12 2.23 2.22 3.73 3.85

28.443 53.965 90.565 96.656 35.201 67.028 112.899 69.471 300.111 101.743 171.777 323.921 742.948 940.028 1582.917

3.84 3.93 4.01 4.31 4.79 4.88 4.97 5.28 5.53 5 5.08 5.21 7.16 6.21 6.33

23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam

24

25

26

27


24

25

26

27


24

25

26

28

27 20 20 20 20 20 20 20 20 20 20 20

1 1.2 1.6 2 2.5 3.2 1 1.2 1.6 2 2.5

4.45 4.43 4.40 4.45 4.66 4.64 4.61 5.23 5.13 5.42 5.38 5.34 6.91 7.71 7.66

76 75 74 69 61 60 59 70.5 67.5 85 84 82.5 92.5 142.5 141

29 4.15 5.47 7.06 8.36 9.10 9.87 10.93 11.73 13.77 15.78 17.43

30

31

28 224.4 891.3 3397.8 8473.3 13354.0 19798.2 33458.7 47362.9 102279.7 201208.8 302544.4

29 3.65 4.70 5.92 7.01 7.87 8.74 9.74 10.62 12.39 14.16 15.96

30

31

28 1345378.7 1463616.0 1706666.7 1958592.0 2286173.7 2768896.0 1531869.0 1680008.3 1983687.0 2297339.0 2703624.0

29 18.20 18.45 18.91 19.31 19.75 20.31 20.15 20.41 20.88 21.29 21.76

30

31 394 396 400 404 409 416 447 449 453 457 462

Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam

20 20 25 25 25 25 25 25 25 25 25 25 25 25 25 25 32 32 32 32 32 32 32 24

25

26

3.2 4 1 1.2 1.6 2 2.5 3.2 4 1 1.2 1.6 2 2.5 3.2 4 1 1.2 1.6 2 2.5 3.2 4 27

18 22 25 30 30 30 30 30 30 30

1.0 1.0 1.0 1.0 1.0 2.0 2.0 2.0 2.0 2.0

24

25

26

27

24

25

26

27

24

25

26

27

24

25

26

27

3299415.0 4019679.0 3610917.3 3965002.5 4689198.0 5434968.4 6397902.1 7804229.6 9496195.5 4781638.4 5206800.5 6074676.4 6966162.6 8114103.4 9784783.8 8045105.4 11461091.1 12515892.6 14665616.7 16869272.6 19700482.7 23809073.6 28714878.4 28 76212.6 287496.0 1065143.6 1992555.4 2889815.0 5366088.0 7162795.8 8963593.7 11531260.6 14202610.7 28 15150375.0 20010375.0 25545375.0 31755375.0 46200375.0 28

22.34 22.94 22.55 22.84 23.35 23.81 24.31 24.93 25.56 24.41 24.70 25.23 25.69 26.21 26.86 27.52 26.91 27.24 27.83 28.35 28.92 29.61 30.31 29 8.50 10.87 13.41 15.51 17.35 20.45 22.40 24.34 26.21 28.14 29 30.00 33.74 36.08 39.55 46.36 29

28 112896000 249018000 600000000 1097296875 2209000000 28 8978203 13351908

29 30.53 35.85 40.29 45.53 50.01 29 25.95 29.55

30

469 477 497.6 499.6 503.6 507.6 512.6 519.6 527.6 545.3 547.3 551.3 555.3 560.3 567.3 475.3 596.4 598.4 602.4 606.4 611.4 618.4 626.4 31 132 180 227.5 276.9 325.8 364 412.6 462.8 510.7 559.7 31 670 770 870 970 1170 31

30

31

30

30

560 660 750 850 940 30

31 565 663

Column/Beam Column/Beam

23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam 23 Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam Column/Beam

18290286 24961500

24

25

26

27

24

25

26

27

33.25 36.87

r0 Cw 28 29 30749 7.77 142896 10.20 196908 10.36 716627 12.99 897453 13.11 1562218 15.47 2386317 15.80 4174295 18.27 5109711 18.42 28 29 112896000 30.53 154743372 43.25 204363000 46.42 0 #DIV/0! 0 #DIV/0! 0 #DIV/0!

762 860 d' 30

30

31 148.2 192.2 195.4 243.0 246.2 292.5 298.8 338.1 341.3 31 560 1064 1160 0 0 0

b'

alpha

SHEAR CENTER X0

mm

mm

cm

32

33

34

SHEAR CENTER Y0 cm

check slenderness

35 0 0 0 0 0 0 0 0 0 0 0 0 0 0

36

37

38

0 0 0 0 0 0 0 0 0 0 0 0 0 0

flange 39 Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender

web 40 Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender

32

33

34

35

36

37

38

39

40

32

33

34

35

36

37

38

39

40

37.6

0.42

2.66

0

Non-slender Non-slender

47.5

0.41

3.25

0


62.35

0.42

4.27

0


72.15

0.41

4.91

0


72

0.41

4.83

0


71.9

0.40

4.77

0


76.75

0.40

5.07

0


76.4

0.40

4.96

0


86.1

0.38

5.23

0


95.85

0.37

5.55

0


95.6

0.36

5.43

0


32

33

34

35

36

37

38

39

40

18.5 18 23.5 23 22.5 28.5 28 27.5 33.5 33 32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52 51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86

0.62 0.61 0.79 0.78 0.76 0.96 0.95 0.95 1.13 1.13 1.12 1.10 1.32 1.30 1.29 1.27 1.48 1.48 1.47 1.46 1.65 1.65 1.64 1.63 1.61 1.58 1.81 1.80 1.77 1.73 1.98 1.98 1.97 1.94 1.91 2.15 2.14 2.11 2.08 2.32 2.32 2.29 2.29 2.26 2.50 2.49 2.46 2.43 2.66 2.64 2.60 2.57 3.00 2.98

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

4.4 4.3 5.6 5.5 5.4 6.8 6.7 6.7 8 8 7.9 7.8 9.3 9.2 9.1 9 10.5 10.5 10.4 10.3 11.7 11.7 11.6 11.5 11.4 11.2 12.8 12.7 12.5 12.2 14 14 13.9 13.7 13.5 15.2 15.1 14.9 14.7 16.4 16.4 16.2 16.2 16 17.7 17.6 17.4 17.2 18.8 18.7 18.4 18.2 21.2 21.1

4.4 4.3 5.6 5.5 5.4 6.8 6.7 6.7 8 8 7.9 7.8 9.3 9.2 9.1 9 10.5 10.5 10.4 10.3 11.7 11.7 11.6 11.5 11.4 11.2 12.8 12.7 12.5 12.2 14 14 13.9 13.7 13.5 15.2 15.1 14.9 14.7 16.4 16.4 16.2 16.2 16 17.7 17.6 17.4 17.2 18.8 18.7 18.4 18.2 21.2 21.1

Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender

85 84 97 96.5 96 95 94 92.5 106 105 104 102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171 170 194 192 190 188 187.5 32

2.96 2.91 3.35 3.31 3.34 3.31 3.28 3.21 3.68 3.66 3.63 3.56 4.00 3.97 3.96 3.90 4.38 4.38 4.37 4.34 4.27 5.06 5.03 4.95 4.96 4.91 4.89 5.98 5.94 5.91 6.77 6.73 6.65 6.56 6.58 33

34

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 35

20.9 20.6 23.7 23.4 23.6 23.4 23.2 22.7 26 25.9 25.7 25.2 28.3 28.1 28 27.6 31 31 30.9 30.7 30.2 35.8 35.6 35 35.1 34.7 34.6 42.3 42 41.8 47.9 47.6 47 46.4 46.5 36

37

20.9 20.6 23.7 23.4 23.6 23.4 23.2 22.7 26 25.9 25.7 25.2 28.3 28.1 28 27.6 31 31 30.9 30.7 30.2 35.8 35.6 35 35.1 34.7 34.6 42.3 42 41.8 47.9 47.6 47 46.4 46.5 38

Non-slender Non-slender Slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender 39

18.5

0.00

0.44

Non-slender

18 23.5 23 22.5 28.5 28 27.5 33.5 33

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.43 0.56 0.55 0.54 0.68 0.68 0.67 0.80 0.80

Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender

40

32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52 51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86 85 84 97 96.5 96 95 94 92.5 106 105 104

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.79 0.78 0.93 0.92 0.91 0.90 1.05 1.05 1.04 1.03 1.17 1.17 1.16 1.15 1.14 1.12 1.28 1.27 1.25 1.22 1.40 1.40 1.39 1.37 1.35 1.52 1.51 1.49 1.47 1.64 1.64 1.62 1.62 1.60 1.77 1.76 1.74 1.72 1.88 1.87 1.84 1.82 2.13 2.11 2.09 2.07 2.38 2.35 2.36 2.34 2.32 2.27 2.60 2.59 2.57

Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender

102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171 170 194 192 190 188 187.5 32 18.5 18 23.5 23 22.5 28.5 28 27.5 33.5 33 32.5 32 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 46.5 46 52.5 52

33

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

2.52 2.84 2.82 2.81 2.77 3.10 3.08 3.09 3.07 3.02 3.58 3.56 3.50 3.51 3.47 3.46 4.23 4.20 4.18 4.79 4.75 4.71 4.64 4.65

0.00

35 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

34

Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender 36

37

38

39 Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender

40

51 50 58 57.5 57 56 55 62.5 62 61 60 67.5 67 66.5 66 65 72.5 72 71 70 77 76 75 74 87 86 85 84 97 96.5 96 95 94 92.5 106 105 104 102 116 115 114 112.5 126 125.5 125 124 122 145 144 142.5 142 141 140 172.5 171

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender

170 194 192 190 188 187.5 32

28.5 28 27.5 38.5 38 37.5 37 43.5 43 42.5 42 48.5 48 47.5 47 57.5 57 56 62.5 62 61 67.5 67 66 65 72.5 72 71 70 77.5 77 76 75 87 86 85 84 97 96 95 97

0.00 0.00 0.00 0.00 0.00 0.00 33

34

0.00 0.00 0.00 0.00 0.00 0.00 35

36

37

38

Non-slender Slender Non-slender Non-slender Non-slender Non-slender 39

40

Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender

Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Slender

96 95 94 122 121 120 122 121 120 119 146 145 144 146 145 144 142 195 194 192 195 194 192 190 38.5 38 37.5 57.5 57 56.5 62.5 62 61.5 61 67.5 67 66.5 66 71.5 77.5 77 76.5 76 77 76.5 76 87 86.5 86 85 97 96.5 96 95 96.5

Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender

Non-slender Non-slender Non-slender Slender Slender Non-slender Slender Slender Non-slender Non-slender Slender Slender Non-slender Slender Slender Non-slender Non-slender Slender Slender Non-slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Slender Non-slender Non-slender Non-slender Non-slender Slender Slender Non-slender Non-slender Slender Non-slender Non-slender Slender Slender Non-slender Non-slender Slender Slender Non-slender Non-slender Slender

116 115 114 119 131 130 129 145.5 142.5 145 144 142.5 192.5 192.5 191

Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender Non-slender

Slender Non-slender Non-slender Non-slender Slender Slender Non-slender Slender Non-slender Slender Non-slender Non-slender Slender Slender Non-slender

32

33

34

35

36

37

38

39

40

32

33

34

35

36

37

38

39

40

32

33

34

35

36

37

38

39

40

32

33

34

35

36

37

38

39

40

32

33

34

35

36

37

38

39

40

32

33

34

35

36

37

38

39

40

32

33

34

35

36

37

38

39

40

32

33

34

35

36

37

38

39

40

b'

alpha

X0

Y0

32

33

34

35

36

37

38

39

40

32

33

34

35

36

37

38

39

40

Plastic Modulus Axis z-z Axis y-y Zz Zy cm3 16 58.65 81.85 110.48 166.08 253.86 348.27 465.71 651.74 889.57 1176.18 1533.36 2074.67 2711.98 3510.63

cm3

Star Angle rvv cm

17 18.3 19.6 22.4 32.2 50 66.4 89.8 110.7 129.7 149.4 186.8 259.5 327.6 429

16

17 Plastic Modulus Axis z-z Axis y-y Zz Zy cm3 16 24.17

cm3 17 8.69

60.00

12.5 31.67838 39.59798

43.83

14.3

84.60

16.9

77.15

25.56

108.60

20.5

119.82

37.88

132.00

23.2

161.65

44.4

154.60

25.8

211.26

51.07

177.20

28.6

277.93

63.64

200.20

30.8

356.72

73.9

221.80

30.8

496.77

91.21

272.80

35.0

672.2

110.7

323.00

38.9

891.03

127.69

369.40

42.0

16

17

Zz

Zy

17

18

16

17

Zz

Zy

17

18

16

17

1.94 1.93 1.92 1.90

2.11 2.10

2.07 2.03 2.31 2.29 2.27 2.23 2.51 2.50 2.47 2.44 2.71 2.70 2.67 2.64 2.92 2.91 2.88 2.84 3.11 3.08 3.04 3.01 3.50 3.47 3.44 3.41 3.91 3.88 3.85 3.82 4.28 4.25 4.22

5.10 5.07 5.03 5.86 5.83 5.78 5.73

7.84 7.63

16

17

Zz

Zy

17

18

16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

16 1020.00 1020.00 1020.00 1020.00 1020.00 1020.00 1350.00 1350.00 1350.00 1350.00 1350.00

17 88.90 88.90 88.90 88.90 88.90 88.90 111.00 111.00 111.00 111.00 111.00

1350.00 1350.00 1810.00 1810.00 1810.00 1810.00 1810.00 1810.00 1810.00 2360.00 2360.00 2360.00 2360.00 2360.00 2360.00 2360.00 3060.00 3060.00 3060.00 3060.00 3060.00 3060.00 3060.00 16 110.48 253.86 465.71 651.74 889.57 1176.18 1533.36 2074.67 2711.98 3510.63 16 0.00 0.00 0.00 0.00 0.00 16 0.00 0.00 0.00 0.00 16 0.00 0.00 0.00 0.00 0.00 16 5350.00 7032.00

111.00 111.00 152.00 152.00 152.00 152.00 152.00 152.00 152.00 193.00 193.00 193.00 193.00 193.00 193.00 193.00 252.00 252.00 252.00 252.00 252.00 252.00 252.00 17 12.50 27.40 53.50 69.50 76.80 88.90 111.00 152.00 193.00 252.00 17 0.00 0.00 0.00 0.00 0.00 17 0.00 0.00 0.00 0.00 17 0.00 0.00 0.00 0.00 0.00 17 1156.00 1257.00

8699.00 10810.00 Zz 16 247.70 497.40 656.10 1224.00 1484.00 1592.00 2297.00 2479.00 2965.00 16 0.00 0.00 0.00 0.00 0.00 0.00

1312.00 1414.00 Zy 17 111.60 230.90 305.30 575.30 697.00 726.10 1053.00 1199.00 1435.00 17 0.00 0.00 0.00 0.00 0.00 0.00

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