User Manual Secelem

SECELEM

Properties of Elementary Steel Sections

Version 05.05

Author: René FREUND

ENGINEERING CONSULTANTS LTD

GRANTS & RESTRICTIONS

ATLANTIS Engineering Consultants Ltd. (“ATLANTIS”) grants to you (“the Customer”) the non-exclusiverights with respect to the utilisation of the program SECELEM (“the Software”) and its User Documentation.One copy of the Software may be made for backup or archival purposes. This Software and Documentation mayotherwise not be used, modified, reproduced, sold, transferred or distributed without ATLANTIS prior writtenpermission.No attempt shall be made to de-assemble or de-compile the executable.

WARRANTY

ATLANTIS warrants that the Software and User Documentation are free from defects in material andworkmanship under normal use for a period of two months following its acquisition.The liability of ATLANTIS under the warranty set forth above shall be limited to the amount paid by theCustomer for the product.

DISCLAIMER

ATLANTIS does not make any warranty expressed or implied as to the use, or the results of use, of the Softwareand User Documentation in terms of correctness, accuracy and reliability. The Customer is expected to make thefinal evaluation as to the usefulness of the Software in his own environment and shall assume the entire risks as toits results and performance.

ATLANTIS shall not be liable for any direct, indirect, consequential or incidental damages (including damagesfor loss of business profits, business interruption and the like) arising from the use or inability to use the Softwareeven if ATLANTIS has been advised of the possibility of such damages.

REVISION HISTORY

05.05 British RSJ; American S-Shapes; Australian, Indian, South-African & Russian Standard Sections02.05 I-Shapes with Sloping Flanges (IPNs); Web Height Input Modified02.03 Japanese H02.01 American W98.09 British UB & UC87.11 First Issue

Version Description

SECELEM Properties of Elementary Steel Sections Version 05.05

14/01/09 Page i

CONTENTS

1 SCOPE 12 ASSUMPTIONS AND METHODOLOGY 2

2.1 Elementary Sections 22.1.1 Circular Sector 22.1.2 Circular Cap 22.1.3 Circular Lens 3

2.2 I-Beams with Parallel Flanges 32.2.1 Axial and Bending Properties 42.2.2 Torsional Properties 42.2.3 Additional Properties 5

2.3 I-Beams with Sloping Flanges 62.3.1 Axial and Bending Properties 62.3.2 Torsional Properties 6

2.4 Box 82.4.1 Axial and Bending Properties 82.4.2 Torsional Properties 8

2.5 Standard Hot-Rolled Sections 92.5.1 European Sections 9

2.5.1.1 HE Column Sections 102.5.1.2 I-Beam Sections 122.5.1.3 Miscellaneous Non Standard Sections 15

2.5.2 British Sections 202.5.2.1 Universal Beams (UB) 202.5.2.2 Universal Columns (UC) 222.5.2.3 RSJ-Beams 232.5.2.4 UBP Bearing Piles 24

2.5.3 American Sections 252.5.3.1 Wide Flange Sections 252.5.3.2 Standard S-Shapes 352.5.3.3 M Shapes 362.5.3.4 HP Sections 36

2.5.4 Japanese Sections 372.5.4.1 Wide Flange Sections 372.5.4.2 Heavy H-Columns 39

2.5.5 Australian Sections 422.5.5.1 Universal Beams (UBA) 422.5.5.2 Universal Columns (UCA) 432.5.5.3 TFB Tapered Flange Beams 432.5.5.4 Universal Bearing Piles (UBPA) 44

2.5.6 Southern African Sections 442.5.7 Indian Sections 45

2.5.7.1 Wide Flange ISWB Beams 452.5.7.2 Medium Flange ISMB Beams 452.5.7.3 Narrow Flange ISLB Beams 462.5.7.4 ISHB Columns 462.5.7.5 ISJB Joists 462.5.7.6 ISMC Shapes 472.5.7.7 ISLC Shapes 472.5.7.8 ISJC Shapes 47


14/01/09 Page ii

2.5.8 Russian Sections 482.5.8.1 Narrow Flange Beams 482.5.8.2 Wide Flange Beams 492.5.8.3 Columns 502.5.8.4 Alternate Beam-Columns 502.5.8.5 Tapered Flange Beams 50

2.6 Korean Sections 522.6.1 Wide Flange Sections 522.6.2 Bearing Piles 52

2.7 Characteristic Buckling Resistance 532.7.1 Buckling Curve 532.7.2 Cross-Section Types 53

3 VARIABLES AND UNITS 543.1 Input Data 543.2 Default Values 553.3 Output Data 55

4 OPERATING LIMITS AND WARNINGS 564.1 Selection of Standard Shapes 564.2 Interface with GTSTRUDL 564.3 Radius of Gyration with Respect to Torsional Buckling 56

5 ASSOCIATED ROUTINES 575.1 Upstream 575.2 Downstream 57

6 REFERENCES & BIBLIOGRAPHY 586.1 References 586.2 Bibliography 60

7 EXAMPLES 617.1 European Sections 62

7.1.1 HEA 627.1.2 IPN 63

7.2 British Sections 647.2.1 UB Beam 647.2.2 UC Column 657.2.3 RSJ-Beam 66

7.3 American Sections 677.3.1 W Beam 677.3.2 Standard S-Shape 68

7.4 Japanese Sections 697.5 Australian Sections 707.6 Indian Sections 717.7 Russian Sections 727.8 Airplane Spare of Spruce 737.9 Boxed Section 74


14/01/09 Page 1

1 SCOPEThe program computes the properties of bi-symmetrical elementary welded or rolled steel sections.Properties include- area,- elastic bending inertia and moduli,- plastic moduli,- torsional and warping inertia.

Sections may either be described in terms of element sizes and thickness (flange, web) or specified as hot-rolledsection. This program contains a database of over 1200 sections complying with the following standards- European (IPE-A, IPE, IPE-O, IPN, HEA, HEB, HEM, HEAA, HE, HL, HD, HP),- British (UB, UC, RSJ, UBP)- American (WF, S, M, HP) including a few specific Canadian wide-flange sections,- Japanese (WJs),- Australian (UB, UC, TFB, UBP),- Indian (ISWB, ISMB, ISLB, ISHB, ISJB, ISMC, ISLC, ISJC),- Southern African,- Russian (?, ? , ? , ?? and ?? shapes).

This routine can be used on its own, but is more generally called as a subroutine for member code check programsin accordance with international Rules and Regulations (AISC, API, NORSOK, BS, CM66, etc..)

KEYWORDSrolled beam, I-beam, H-beam, root radius, toe radius, sloping flange

Figure 1-1 – Lunch Atop a Skyscraper [Photograph Charles EBBETS]


14/01/09 Page 2

2 ASSUMPTIONS AND METHODOLOGYThe properties of the sections relate to a purely elastic material behaviour.The system of axes is such that- x-axis is normal to the plan of the cross-section,- y-axis corresponds to the axis of major inertia (parallel to the flanges),- z-axis corresponds to the axis of minor inertia (parallel to the web).

2.1 Elementary SectionsThe properties of the following elementary sections derived from Ref./ 33/ are used to compute the exactcharacteristics of rolled beam sections when root radius and miscellaneous rounding are included.The local reference system of sections involving circles is as follows:- origin at the center of the circle,- v-axis pointing towards the middle of the circular arch, separating two equal sectors having the same

subtended angle a.

2.1.1 Circular Sector

4cossin

4

4cossin

4

3sin2

4

4

2

4

2

ααα

ααα

α

αα

−=

−+=

=

=

RI

RAv

RIRARv

v

wu

w

Figure 2-1 – Circular Sector [from Ref./33/]

2.1.2 Circular Cap

( )

6cossin

4cossin

2cossin

4cossin

cossin

cossin3sin2

3

4

4

23

4

2

3

ααααα

ααααα

ααα

αααα

−−=

−+−=

−=

−=

RI

RAv

RIRARv

v

wu

w

Figure 2-2 – Circular Cap [from Ref./33/]


14/01/09 Page 3

2.1.3 Circular Lens

( )

12tansin

4tan

6tan

12tansin

4tan

tan

tan3sintan

2

4

4

232

4

2

2

αααα

ααααα

αα

αααα

−−=

−++−

=

−=

−=

RI

RAv

RIRARv

v

wu

w

2.2 I-Beams with Parallel FlangesAn I-beam with parallel flanges is completely defined by- the width b and thickness e of its flanges,- its overall height H and the thickness a of its web- the root radius r at the junction between flange and web.

Figure 2-3 – Dimensions of an I-Beam with Parallel Flanges [from Ref./49/]


14/01/09 Page 4

2.2.1 Axial and Bending PropertiesThe properties of such a section are

( ) 242 rahbeAX ⋅−++= π [1]

( ) arabeAY ⋅++= 2 [2]

( ) erabAA XZ ⋅−−−= 22 [3]

⋅

−−⋅−

−⋅−

−+⋅++⋅++= rhrrrhrrehbebeahIY π

ππ

π341

2916

4)(

32)(

122 242

22

233

[4]

2243

33

34

129

164

)2(612

)2(6

⋅

−+⋅−

−⋅−++⋅−+= r

arrar

rarh

ebI Z π

ππ

π[5]

( ) ( ) ( ) 32

310

24

24

rhreehabeha

SY ⋅

−+⋅

−+⋅+⋅−++⋅= π

π[6]

3222

310

24

42rarhaebSZ ⋅

−+⋅−++= ππ

[7]

( ) rhrbAL π2224 ++−⋅= [8]

X

LG Aw

AA

⋅= [9]

where h = H–2e is the clear distance between flanges.

2.2.2 Torsional PropertiesThe torsional inertia includes the contribution of the inscribed circles at the junction of web and flanges.

( )( )

44433

2.029.0,max,min

121

142.03

2D

er

eaea

ebehabe

J X ⋅

⋅+⋅+⋅

−⋅−

+= [10]

where( )

erar

eD+

++=

22/ 2

24)( 23 eheb

CW

+= [11]


14/01/09 Page 5

Figure 2-4 – Torsional Inertia of Hot-Rolled Sections With Parallel Flanges [from Ref./33/]

2.2.3 Additional PropertiesThe program also computes some dimensional characteristics which pertain to specific codes- the stiff bearing length of the flange defined in ENV 1993 1-1 § 5.7.2 (Ref./ 19/) corresponds to a 45 deg

diffusion of the stress in the plan of the web through the thickness of the flange tangent to the root radius,hence

( ) raess ⋅−++= 2222 [12]

- the effective radius of gyration rT of a doubly symmetrical I-section with respect to lateral/torsional bucklingabout its major axis is defined in AISC Rules (Ref./1/) as

Y

WZT W

CIr = [13]

Figure 2-5 – Welded Plate Girders [courtesy DELTASIDER]


14/01/09 Page 6

2.3 I-Beams with Sloping FlangesAn I-beam with sloping flanges is completely defined by- the flange width b and thickness e at mid width of a half-flange,- its overall height H and the thickness a of its web,- the root radius r at the junction between flange and web,- the toe radius r1 at the flange edges,- the slope tanα of the inner face of the flanges.

2.3.1 Axial and Bending PropertiesThe presence of rounding at angles different from 90 deg complicates somewhat the parametric formulae for theproperties of an I section with sloping flanges. These properties can nevertheless be computed exactly from thecombination of some of the elementary sections described in Section 2.1. A typical decomposition is shownbelow

Figure 2-6 – Decomposition of an I-Shape With Sloping Flanges [from Ref./14/]

2.3.2 Torsional PropertiesThe torsional inertia of an I-beam with sloping flanges is computed in accordance with the formulae of Ref./16/.The following parameters are developed for sections

- with parallel flangesea

er

ea

er

ea

⋅

⋅+⋅−⋅+⋅+−= 0865.00725.0136.0220.00420.01α

( )

er

arare

D+

+⋅++

=2

42

1

- with sloping flangesea

er

ea

er

ea

⋅

⋅+⋅−⋅+⋅+−= 0806.00858.0127.0254.00836.03α


14/01/09 Page 7

( )

3

23

34

trf

aratf

D++

+⋅++

= αα

tan2cos

⋅

+−=

ar

rf

αααα 432 tan0515.0tan0675.0tan0848.0tan100.0105.0 ⋅+⋅+⋅+⋅+=sV

The figure for α3 is actually valid for flange slopes equal to 1/6. For other slopes it may linearly interpolatedbetween α3 and α1 as given above for parallel-sided flanges.The torsional inertia is eventually equal to

( )( )( ) ( ) 41

433

3

2

32

22

2121 42

322

32

6tVD

ateh

atttttabJ sX −+⋅−+++

++−= α [14]

Figure 2-7 – Torsional Inertia of Hot-Rolled Sections With Sloping Flanges [from Ref./19/]

The warping constant is computed as 2

2fZf

W

IhI

⋅=

where hf represents the distance between the CoGs of the upper and lower flanges, and IfZ their individual bendinginertia with respect to the weak axis Z computed from the decomposition of Section 2.3.1.


14/01/09 Page 8

2.4 BoxA box consisting of one central and two side webs is defined by- the width b and thickness e of its flanges,- its overall height H and the thickness a of the central web,- the thickness s of the side webs and the distance d between their mid-thickness- the root radii r and r’ at the connection flange to central web.

2.4.1 Axial and Bending PropertiesThe axial and bending properties are readily derived from those of an I-section

2.4.2 Torsional PropertiesThe torsional properties of boxes are several orders of magnitude superior to those of an open I-section

[ ]sehed

ehdJ X /)(/

)(2

2

+++

⋅= [15]

2

2

232

)()()(

24)(

+++−⋅+⋅++=

beehsdbeehsdehebsehdCW [16]

Figure 2-8 – Truck Transporting a Large Box Girder


14/01/09 Page 9

2.5 Standard Hot-Rolled SectionsThe following Tables provide the list of hot-rolled sections complying with various national standards that arerecognized by this program.The User is advised to consult the relevant catalogs of suppliers for more information regarding dimensional data.As the same geometrical section may be called diversely under different standards, a hierarchical order isestablished, namely European, British, American, Japanese, Australian, Indian, South-African and Russian, whichreflects the availability of the same section in Continental Europe under each specific standard.Non-standard sections that are genuine to one manufacturer in particular are given lower hierarchical ranking.

2.5.1 European Sections

IPEIPA IPO IPN

HEAHEBHEM

HEAA80 80

100 100 100120 120 120140 140 140160 160 160180 180 180 180200 200 200 200220 220 220 220240 240 240 240

260 260270 270

280 280300 300 300 300

320 320330 330

340 340360 360 360 360

380400 400 400 400450 450 450 450500 500 500 500550 550 550 550600 600 600

650700

800900

1000

The dimensions of all European shapes are derived from Ref./ 5/.


14/01/09 Page 10

2.5.1.1 HE Column Sections

Figure 2-9 – European HE Section [from Ref./5/]

The sizes of European HE sections defined in accordance with Euronorm 53-62 have the following characteristics- the nominal height of the section is equal to the overall true height of the corresponding HEB section,- the distance between inner flanges of HEA, HEB and HEM having the same nominal height is identical,- the flange width is equal to the nominal height (in mm) for HEs less than 300, and is limited to 300mm for

higher beams.

2.5.1.1.1 HEAs

Sizes [mm]HEAh b a e r

100 96. 100. 5.0 8.0120 114. 120. 5.0 8.0140 133. 140. 5.5 8.5

12.

160 152. 160. 6.0 9.0180 171. 180. 6.0 9.5

15.

200 190. 200. 6.5 10.0220 210. 220. 7.0 11.0

18.

240 230. 240. 7.5 12.0 21.260 250. 260. 7.5 12.5280 270. 280. 8.0 13.0

24.

300 290. 8.5 14.0320 310. 9.0 15.5340 330. 9.5 16.5360 350. 10.0 17.5400 390. 11.0 19.0450 440. 11.5 21.0500 490. 12.0 23.0550 540. 12.5 24.0600 590. 13.0 25.0650 640. 13.5 26.0700 690. 14.5 27.0

27.

800 790. 15.0 28.0900 890. 16.0 30.0

1000 990.

300.

16.5 31.030.


14/01/09 Page 11

2.5.1.1.2 HEBs

Sizes [mm]HEB h b a e r100 100. 100. 6.0 10.0120 120. 120. 6.5 11.0140 140. 140. 7.0 12.0

12.

160 160. 160. 8.0 13.0180 180. 180. 8.5 14.0 15.

200 200. 200. 9.0 15.0220 220. 220. 9.5 16.0

18.

240 240. 240. 10.0 17.0 21.260 260. 260. 10.0 17.5280 280. 280. 10.5 18.0

24.

300 300. 11.0 19.0320 320. 11.5 20.5340 340. 12.0 21.5360 360. 12.5 22.5400 400. 13.5 24.0450 450. 14.0 26.0500 500. 14.5 28.0550 550. 15.0 29.0600 600. 15.5 30.0650 650. 16.0 31.0700 700. 17.0 32.0

27.

800 800. 17.5 33.0900 900. 18.5 35.0

1000 1000.

300.

19.0 36.030.

2.5.1.1.3 HEMs

Sizes [mm]HEMh b a e r

100 120. 106. 12.0 20.0120 140. 126. 12.5 21.0140 160. 146. 13.0 22.0

12.

160 180. 166. 14.0 23.0180 200. 186. 14.5 24.0

15.

200 220. 206. 15.0 25.0220 240. 226. 15.5 26.0

18.

240 270. 248. 18.0 32.0 21.260 290. 268. 18.0 32.5280 310. 288. 18.5 33.0

24.

300 340. 310. 39.0320 359. 309.340 377. 309.360 395. 308.400 432. 307.450 478. 307.500 524. 306.550 572. 306.600 620. 305.650 668. 305.700 716. 304.

27.

800 814. 303.900 910. 302.

1000 1008. 302.

21.0 40.0

30.


14/01/09 Page 12

2.5.1.2 I-Beam Sections

2.5.1.2.1 IPEs

Figure 2-10 – European IPE Section [from Ref./5/]

Sizes [mm]IPEh b a e r

80 80. 46. 3.8 5.2 5.100 100. 55. 4.1 5.7120 120. 64. 4.4 6.3140 140. 73. 4.7 6.9

7.

160 160. 82. 5.0 7.4180 180. 91. 5.3 8.0

9.

200 200. 100. 5.6 8.5220 220. 110. 5.9 9.2

12.

240 240. 120. 6.2 9.8270 270. 135. 6.6 10.2300 300. 150. 7.1 10.7

15.

330 330. 160. 7.5 11.5360 360. 170. 8.0 12.7

18.

400 400. 180. 8.6 13.5450 450. 190. 9.4 14.6500 500. 200. 10.2 16.0

21.

550 550. 210. 11.1 17.2600 600. 220. 12.0 19.0

24.


14/01/09 Page 13

2.5.1.2.2 IPAs

Sizes [mm]IPA h b a e r80 78. 46. 3.3 4.2 5.

100 98. 55. 3.6 4.7120 117.6 64. 3.8 5.1140 137.4 73. 3.8 5.6

7.

160 157. 82. 4.0 5.9180 177. 91. 4.3 6.5

9.

200 197. 100. 4.5 7.0220 217. 110. 5.0 7.7

12.

240 237. 120. 5.2 8.3270 267. 135. 5.5 8.7300 297. 150. 6.1 9.2

15.

330 327. 160. 6.5 10.0360 357.6 170. 6.6 11.5

18.

400 397. 180. 7.0 12.0450 447. 190. 7.6 13.1500 497. 200. 8.4 14.5

21.

550 547. 210. 9.0 15.7600 597. 220. 9.8 17.5

24.

2.5.1.2.3 IPOs

Sizes [mm]IPOh b a e r

180 182. 92. 6.0 9.0 9.200 202. 102. 6.2 9.5220 222. 112. 6.6 10.2

12.

240 242. 122. 7.0 10.8270 274. 136. 7.5 12.2300 304. 152. 8.0 12.7

15.

330 334. 162. 8.5 13.5360 364. 172. 9.2 14.7

18.

400 404. 182. 9.7 15.5450 456. 192. 11.0 17.6500 506. 202. 12.0 19.0

21.

550 556. 212. 12.7 20.2600 610. 224. 15.0 24.0

24.


14/01/09 Page 14

2.5.1.2.4 IPNsIPN sections with sloping flanges are defined in accordance with DIN 1025-1 and NF-A-45-209 Specifications.They are characterized by- a flange slope equal to 14%,- a root radius (r1 on Figure 2-11 equal to the web thickness).The average thickness e is measured at the middle of the half-flange (at the distance b/4 from the free edge).

Figure 2-11 – European IPN Section [from Ref./5/]

Sizes [mm]IPNh b a e r1 r2

80 80. 42. 3.9 5.9 3.9 2.3100 100. 50. 4.5 6.8 4.5 2.7120 120. 58. 5.1 7.7 5.1 3.1140 140. 66. 5.7 8.6 5.7 3.4160 160. 74. 6.3 9.5 6.3 3.8180 180. 82. 6.9 10.4 6.9 4.1200 200. 90. 7.5 11.3 7.5 4.5220 220. 98. 8.1 12.2 8.1 4.9240 240. 106. 8.7 13.1 8.7 5.2260 260. 113. 9.4 14.1 9.4 5.6280 280. 119. 10.1 15.2 10.1 6.1300 300. 125. 10.8 16.2 10.8 6.6320 320. 131. 11.5 17.3 11.5 6.9340 340. 137. 12.2 18.3 12.2 7.3360 360. 143. 13.0 19.5 13.0 7.8380 380. 149. 13.7 20.5 13.7 8.2400 400. 155. 14.4 21.6 14.4 8.6450 450. 170. 16.2 24.3 16.2 9.7500 500. 185. 18.0 27.0 18.0 10.8550 550. 200. 19.0 30.0 19.0 11.9


14/01/09 Page 15

2.5.1.3 Miscellaneous Non Standard Sections

2.5.1.3.1 HEAAs

Sizes [mm]HEAAh b a e r

100 91. 100. 4.2 5.5120 109. 120. 4.2 5.5140 128. 140. 4.3 6.0

12.

160 148. 160. 4.5 7.0180 167. 180. 5.0 7.5

15.

200 186. 200. 5.5 8.0220 205. 220. 6.0 8.5

18.

240 224. 240. 6.5 9.0 21.260 244. 260. 6.5 9.5280 264. 260. 7.0 10.0

24.

300 283. 7.5 10.5320 301. 8.0 11.0340 320. 8.5 11.5360 339. 9.0 12.0400 378. 9.5 13.0450 425. 10.0 13.5500 472. 10.5 14.0550 522. 11.5 15.0600 571. 12.0 15.5650 620. 12.5 16.0700 670. 13.0 17.0

27.

800 770. 14.0 18.0900 870. 15.0 20.0

1000 970.

300.

16.0 21.030.

2.5.1.3.2 HE SectionsThis list regroups all non-standard HE sections (excluding extra-light HEAAs) which are not normalized as eitherHEAs, HEBs, HEMs and are hence all identified here as HE H× W (height × weight).

Figure 2-12 – HE Section [from Ref./5/]

All the sections are derived from the EUROPROFIL- ARBED Catalog (Ref./5/) in which the colour of thenominal weight figure refers to the respective edition


14/01/09 Page 16

- WEIGHT Mar’2001 edition- WEIGHT Jan’1993 edition- WEIGHT referred to as HE300C the Jan’1993 edition- WEIGHT BRITISH STEEL Construction Manual On-Line (Ref./ 11/).

HE Section Sizes [mm]H W h b a e r300 177 320. 305. 16.0 29.0

107 384. 297. 10.0 16.0299 444. 309. 25.5 46.0347 458. 313. 29.5 53.0403 474. 318. 34.0 61.0

400

468 492. 323. 39.0 70.0124 435. 300. 10.2 18.5312 490. 310. 26.5 46.0368 506. 314. 31.0 54.0436 526. 319. 35.5 64.0

450

519 548. 325. 42.0 75.0320 536. 309. 26.5 46.0379 552. 314. 31.0 54.0451 572. 319. 36.0 64.0500

534 594. 325. 42.0 75.0330 584. 309. 26.5 46.0393 602. 313. 30.5 55.0466 620. 319. 36.5 64.0550

552 642. 325. 42.5 75.0137 575. 300. 11.8 17.5151 582. 300. 11.6 20.6175 588. 300. 13.6 23.9337 632. 310. 25.5 46.0340 632. 308. 26.5 46.0399 648. 315. 30.0 54.0402 648. 313. 31.0 54.0477 668. 318. 36.0 64.0

600

564 690. 324. 42.0 75.0343 680. 309. 25.0 46.0347 680. 307. 26.0 46.0407 696. 314. 29.5 54.0410 696. 312. 30.5 54.0487 716. 317. 35.5 64.0

650

579 738. 323. 42.0 75.0

27.

HE Section Sizes [mm]H W h b a e r

166 678. 300. 12.5 21.0352 728. 308. 25.0 46.0356 728. 306. 26.0 46.0418 744. 313. 29.5 54.0421 744. 311. 30.5 54.0500 764. 316. 35.5 64.0

700

594 786. 322. 42.0 75.0

27.

373 826. 308. 25.0 46.0377 826. 306. 26.0 46.0444 842. 313. 30.0 54.0448 842. 311. 31.0 54.0531 862. 316. 36.0 64.0

800

627 884. 322. 42.0 75.0391 922. 307. 25.0 46.0396 922. 305. 26.0 46.0466 938. 312. 30.0 54.0471 938. 310. 31.0 54.0557 958. 315. 36. 64.

900

661 980. 321. 42.5 75.393 1016. 303. 24.4 43.9409 1020. 306. 25.0 46.0415 1020. 304. 26.0 46.0488 1036. 311. 30.0 54.0494 1036. 309. 31.0 54.0579 1056. 316. 35.0 64.0584 1056. 314. 36.0 64.0

1000

694 1078. 321. 42.5 75.

30.

2.5.1.3.3 IPE 750

Sizes [mm]Wh b a e r

137 753. 263. 11.5 17.0147 753. 265. 13.2 17.0161 758. 266. 13.8 19.3173 762. 267. 14.4 21.6185 766. 267. 14.9 23.6196 770. 268. 15.6 25.4210 775. 268. 16.0 28.0223 778. 269. 17.0 29.5

17.


14/01/09 Page 2

2.5.1.3.4 IPE-RDimensions of heavy IPE-R profiles are derived from BRITISH STEEL Construction Manual On-Line (Ref./ 11/)

Sizes [mm]IPRh b a e r

140 142. 72. 5.3 7.8 7.160 162. 81. 5.6 8.5180 183. 89. 6.4 9.5

9.

200 204. 98. 6.6 10.5220 225. 108. 6.7 11.8

12.

240 245. 118. 7.5 12.3270 276. 133. 7.7 13.1300 306. 147. 8.5 13.7

15.

330 336. 158. 9.2 14.5360 366. 168. 9.9 16.0 18.

400 407. 178. 10.6 17.0450 458. 188. 11.3 18.6500 508. 198. 12.6 20.0

21.

550 560. 210. 14.0 22.2600 608. 218. 14.0 23.0

24.

2.5.1.3.5 IPE-VDimensions of extra-heavy IPE-V profiles are derived from BRITISH STEEL Construction Manual On-Line(Ref./11/)

Sizes [mm]IPVh b a e r

400 408. 182. 10.6 17.5450 460. 194. 12.4 19.6500 514. 204. 14.2 23.0

21.

550 566. 216. 17.1 25.2600 618. 228. 18.0 28.0

24.


14/01/09 Page 3

2.5.1.3.6 HL Sections

Figure 2-13 – HL Section [from Ref./5/]

HL Section Sizes [mm]H W h b a e r

342 912. 418. 19.3 32.365 916. 419. 20.3 34.3387 921. 420. 21.3 36.6417 928. 422. 22.5 39.9446 933. 423. 24. 42.7488 942. 422. 25.9 47.534 950. 425. 28.4 51.1585 960. 427. 31. 55.9653 972. 431. 34.5 62.784 996. 437. 40.9 73.9

920

967 1028. 446. 50. 89.9

24.

258 970. 400. 16.5 21.296 982. 400. 16.5 27.321 990. 400. 16.5 31.371 1000. 400. 19. 36.412 1008. 402. 21. 40.443 1012. 402. 23.6 41.9483 1020. 404. 25.4 46.539 1030. 407. 28.4 51.1554 1032. 408. 29.5 52.591 1040. 409. 31. 55.9642 1048. 412. 34. 60.748 1068. 417. 39. 70.

1000

883 1092. 424. 45.5 82.

30.

343 1090. 400. 18. 31.390 1100. 400. 20. 36.433 1108. 402. 22. 40.1100

499 1118. 405. 26. 45.

20.


14/01/09 Page 4

2.5.1.3.7 Wide Flange Columns HD SectionsThese non-standard heavy wide flange sections are listed in ARCELOR catalog Ref./ 5/.They reproduce to a large extent American standard wide flange beams W356.

Figure 2-14 – HD Section [from Ref./5/]

HD Section Sizes [mm]H W h b a e r

54 244. 260. 6.5 9.568 250. 260. 7.5 12.593 260. 260. 10. 17.5

114 268. 262. 12.5 21.5142 278. 265. 15.5 26.5

260

172 290. 268. 18. 32.5

24.

74 301. 300. 8. 11.97 310. 300. 9. 15.5

127 320. 300. 11.5 20.5158 330. 303. 14.5 25.5198 343. 306. 18. 32.245 359. 309. 21. 40.

320

300 375. 313. 27. 48.

27.

134147162179

360

196

Sizes identical to American W356×368

HD Section Sizes [mm]H W h b a e r

187 368. 391. 15. 24. 15.216237262287314347382421463509551592634677744818900990

400

1086

Sizes identical to American W356×406


14/01/09 Page 19

2.5.1.3.8 HP Sections

Figure 2-15 – HP Section [from Ref./5/]

HP Section Sizes [mm]H W h b a e r

43 200. 205. 9. 9.200

53 204. 207. 11.3 11.310.

220 57 210. 224.5 11. 11. 18.75 249. 265. 12. 12.

26087 253. 267. 14. 14.

24.

79 299.3 306.4 11. 11.88 301.7 307.8 12.4 12.395 303.7 308.7 13.3 13.3

110 307.9 310.7 15.3 15.4126 312.3 312.9 17.5 17.6149 318.5 316. 20.6 20.7180 326.7 319.7 24.8 24.8186 328.3 320.9 25.5 25.6

305

223 337.9 325.7 30.3 30.4

15.2

88 303. 304. 12. 12.103 307. 306. 14. 14.117 311. 308. 16. 16.147 319. 312. 20. 20.

320

184 329. 317. 25. 25.

27.

84 340. 367. 10. 10.109 346.4 371. 12.8 12.9133 352. 373.8 15.6 15.7152 356.4 376. 17.8 17.9174 361.4 378.5 20.3 20.4

360

180 362.9 378.8 21.1 21.1

15.2

122 348. 390. 14. 14.140 352. 392. 16. 16.158 356. 394. 18. 18.176 360. 396. 20. 20.194 364. 398. 22. 22.213 368. 400. 24. 24.

400

231 372. 402. 26. 26.

15.


14/01/09 Page 20

2.5.2 British SectionsBritish parallel flange sections are identified by their overall height, width and weight (metric) as either- UB H× B× W (universal beams),- UC H× B× W (universal columns).

The dimensions in the metric system of all British shapes are obtained from Ref./16/.

2.5.2.1 Universal Beams (UB)

Figure 2-16 – British UB Section [from Ref./16/]

UB Nominal Sizes(metric) Sizes [mm]

H B W h b a e r127 76 13 127.0 76.2 4.2 7.6152 89 16 152.4 88.7 4.5 7.7178 102 19 177.8 101.2 4.8 7.9

102 23 203.2 101.8 5.4 9.325 203.2 133.2 5.7 7.8203 13330 206.8 133.9 6.4 9.622 254.0 101.6 5.7 6.825 257.2 101.9 6.0 8.410228 260.4 102.2 6.3 10.031 251.4 146.1 6.0 8.637 256.0 146.4 6.3 10.9

254

14643 259.6 147.3 7.2 12.7

7.6

25 305.1 101.6 5.8 7.028 308.7 101.8 6.0 8.810233 312.7 102.4 6.6 10.8

7.6

37 304.4 123.4 7.1 10.742 307.2 124.3 8.0 12.112748 311.0 125.3 9.0 14.040 303.4 165.0 6.0 10.246 306.6 165.7 6.7 11.8

305

16554 310.4 166.9 7.9 13.7

8.9

33 349.0 125.4 6.0 8.5127 39 353.4 126.0 6.6 10.7

45 351.4 171.1 7.0 9.751 355.0 171.5 7.4 11.557 358.0 172.2 8.1 13.0

356171

67 363.4 173.2 9.1 15.7

10.2


14/01/09 Page 21

UB Nominal Sizes(metric) Sizes [mm]

H B W h b a e r39 398.0 141.8 6.4 8.6

14046 403.2 142.2 6.8 11.254 402.6 177.7 7.7 10.960 406.4 177.9 7.9 12.867 409.4 178.8 8.8 14.3

406178

74 412.8 179.5 9.5 16.052 449.8 152.4 7.6 10.960 454.6 152.9 8.1 13.367 458.0 153.8 9.0 15.074 462.0 154.4 9.6 17.0

152

82 465.8 155.3 10.5 18.967 453.4 189.9 8.5 12.774 457.0 190.4 9.0 14.582 460.0 191.3 9.9 16.089 463.4 191.9 10.5 17.7

457

191

98 467.2 192.8 11.4 19.6

10.2

82 528.3 208.8 9.6 13.292 533.1 209.3 10.1 15.6

101 536.7 210.0 10.8 17.4109 539.5 210.8 11.6 18.8

533 210

122 544.5 211.9 12.7 21.3

12.7

101 602.6 227.6 10.5 14.8113 607.6 228.2 11.1 17.3125 612.2 229.0 11.9 19.6229

140 617.2 230.2 13.1 22.1

12.7

149 612.4 304.8 11.8 19.7179 620.2 307.1 14.1 23.6

610

305238 635.8 311.4 18.4 31.4

16.5

125 677.9 253.0 11.7 16.2140 683.5 253.7 12.4 19.0152 687.5 254.5 13.2 21.0686 254

170 692.9 255.8 14.5 23.7

15.2

134 750.0 264.4 12.0 15.5147 754.0 265.2 12.8 17.5173 762.2 266.7 14.3 21.6762 267

197 769.8 268.0 15.6 25.4

16.5

176 834.9 291.7 14.0 18.8194 840.7 292.4 14.7 21.7838 292226 850.9 293.8 16.1 26.8

17.8

201 903.0 303.3 15.1 20.2224 910.4 304.1 15.9 23.9253 918.4 305.5 17.3 27.9305

289 926.6 307.7 19.5 32.0

19.1

343 911.8 418.5 19.4 32.0

914

419388 921.0 420.5 21.4 36.6

24.1

222 970.3 300.0 16.0 21.1249 980.2 300.0 16.5 26.0

30.

272 Sizes identical to European HEA 1000314 Sizes identical to European HEB 1000349 Sizes identical to European HEM 1000393 1016.0 303.0 24.4 43.9437 1025.9 305.4 26.9 49.0

1016 305

487 1036.1 308.5 30.0 54.130.


14/01/09 Page 22

2.5.2.2 Universal Columns (UC)

Figure 2-17 – British UC Section [from Ref./16/]

UC Nominal Sizes(metric)

Sizes [mm]

H B W h b a e r23 152.4 152.2 5.8 6.830 157.6 152.9 6.5 9.4152 15237 161.8 154.4 8.0 11.5

7.6

46 203.2 203.6 7.2 11.052 206.2 204.3 7.9 12.560 209.6 205.8 9.4 14.271 215.8 206.4 10.0 17.3

203 203

86 222.2 209.1 12.7 20.5

10.2

73 254.1 254.6 8.6 14.289 260.3 256.3 10.3 17.3

107 266.7 258.8 12.8 20.5132 276.3 261.3 15.3 25.3

254 254

167 289.1 265.2 19.2 31.7

12.7

97 307.9 305.3 9.9 15.4118 314.5 307.4 12.0 18.7137 320.5 309.2 13.8 21.7158 327.1 311.2 15.8 25.0198 339.9 314.5 19.1 31.4240 352.5 318.4 23.0 37.7

305 305

283 365.3 322.2 26.8 44.1129 355.6 368.6 10.4 17.5153 362.0 370.5 12.3 20.7177 368.2 372.6 14.4 23.8368

202 374.6 374.7 16.5 27.0235 381.0 394.8 18.4 30.2287 393.6 399.0 22.6 36.5340 406.4 403.0 26.6 42.9393 419.0 407.0 30.6 49.2467 436.6 412.2 35.8 58.0551 455.6 418.5 42.1 67.5

356

406

634 474.6 424.0 47.6 77.0

15.2


14/01/09 Page 23

2.5.2.3 RSJ-BeamsThe sizes of British rolled steel joist (RSJ) beams with sloping flanges are derived from Ref./ 16/.

Figure 2-18 – British RSJ Beams [from Ref./16/]

The slope of the inner flange of RSJ-joists corresponds to an angle of 8.0 deg.The average thickness e is measured at the middle of the clear half-flange at the distance(b-a)/4 from the freeedge.

RSJ NominalSizes (metric)

Sizes [mm]

H W h b a e r1 r2

76 13 76.2 76.2 5.1 8.4 9.4 4.689 19 88.9 88.9 9.5 9.9 11.1 3.2

7 101.6 44.5 4.3 6.1 6.9 3.3102

23 101.6 101.6 9.5 10.3 11.1 3.227 127.0 114.3 7.4 11.4 9.9 5.0

12729 127.0 114.3 10.2 11.5 9.9 4.8

152 37 152.4 127.0 10.4 13.2 13.5 6.6203 52 203.2 152.4 8.9 16.5 15.5 7.6254 82 254.0 203.2 10.2 19.9 19.6 9.7


14/01/09 Page 24

2.5.2.4 UBP Bearing Piles

Figure 2-19 – British UBP Section [from Ref./16/]

UBP NominalSizes (metric) Sizes [mm]

H W h b a e r45 200.2 205.9 9.5 9.5

20354 204.0 207.7 11.3 11.4

10.2

63 247.1 256.6 10.6 10.771 249.7 258.0 12.0 12.025485 254.3 260.4 14.4 14.3

12.7

79 299.3 306.4 11.0 11.188 301.7 307.8 12.4 12.395 303.7 308.7 13.3 13.3

110 307.9 310.7 15.3 15.4126 312.3 312.9 17.5 17.6149 318.5 316.0 20.6 20.7186 328.3 320.9 25.5 25.6

305

223 337.9 325.7 30.3 30.4109 346.4 371.0 12.8 12.9133 352.0 373.8 15.6 15.7152 356.4 376.0 17.8 17.9356

174 361.4 378.5 20.3 20.4

15.2


14/01/09 Page 25

2.5.3 American Sections

2.5.3.1 Wide Flange SectionsNorth American (US and Canada) wide flange sections are identified by their nominal overall height, width andweight (metric)- W H× B× W.

Figure 2-20 – American Wide Flange W Shape [from Ref./5/]

Because of the considerable variety of these profiles, their provenance is identified by the colour in which theirnominal weight is shown in the following Tables.

- WEIGHT AISC Steel Construction Manual (Ref./1/),- WEIGHT AISC Steel Rehabilitation Guide (Ref./12/),- WEIGHT AISC W Shapes Availability (Ref./2/); sizes estimated by reference to similar shapes,- WEIGHT CISC W Shapes Availability (Ref./ 14/); see Refs./5/ and /26/ for sizes,- WEIGHT CISC Handbook (Ref./13/) (with a few root radii from Ref./44/),- WEIGHT CORUS Catalog (Ref./17/),- WEIGHT SKYLINE Steel Catalog (Ref./ 31/),- WEIGHT BRITISH STEEL Construction Manual On-Line (Ref./ 11/).

The following Tables list in particular a few heavy “jumbo” W-shapes that may have been used in the past but areno longer produced. Their properties can hence be compared to those of existent shapes in the case of revampingof older installations.


14/01/09 Page 26

W Nominal Sizes(metric) Sizes [mm] W Nominal Sizes

(imperial)H B W h b a e r H B W102 102 19 105.7 103.1 7.1 8.8 6.3 4 4 13

24 127.3 127.0 6.1 9.1 16127 12728 130.8 127.8 6.9 10.9

7.6 5 519

102 13 149.9 100.1 4.3 5.5 9102 18 153.2 101.6 5.8 7.1 12102 24 159.5 102.4 6.6 10.3

6.3 416

152 23 15152 30 20

152

152 37Sizes identical to British UC

6

625

15 200.4 100.1 4.3 5.2 1019 202.9 101.6 5.8 6.5 1310222 206.0 102.0 6.2 8.0

415

21 203. 133. 5.0 6.4 1427 206.8 133.4 5.8 8.4 1813331 210.3 133.9 6.4 10.2

7.6

5¼21

36 201.4 165.0 6.2 10.2 2416542 204.7 166.0 7.2 11.8

10.2 6½28

46 3152 3560 4071 4886

Sizes identical to British UC

58

203

203

100 228.6 210.3 14.5 23.7 10.2

8

8

67

18 251. 101. 4.8 5.3 7.6 1222 1525 17

102

28Sizes identical to British UB 4

1924 253. 145. 5.0 6.4 1633 258. 146. 6.1 9.1 2239 262. 147. 6.6 11.2 26

146

45 266. 148. 7.6 13.0

5¾

3049 247. 202. 7.4 11.0 3358 252. 203. 8.0 13.5 3920367 257. 204. 8.9 15.7

7.6

845

73 Sizes identical to British UC 4980 256. 255. 9.4 15.6 12.7 5489 Sizes identical to British UC 60

101 264. 257. 11.9 19.6 12.7 68107 Sizes identical to British UC 72115 269. 259. 13.5 22.1 12.7 77132 Sizes identical to British UC 88149 282. 263. 17.3 28.4 12.7 100

254

254

167 Sizes identical to British UC

10

10

112


14/01/09 Page 27


(imperial)H B W h b a e r H B W

21 302.5 100.8 5.1 5.7 7.6 1425 1628 19

102

33Sizes identical to British UB

4

2231 306. 164. 5.0 7.4 2139 310.4 164.8 5.8 9.7 2644 313.4 165.6 6.6 11.2 30

165

52 317.5 166.6 7.6 13.2

6½

3560 303.3 203.3 7.5 13.1 4067 306.3 204.3 8.5 14.6 4520374 309.6 205.2 9.4 16.3

850

79 306.3 253.9 8.8 14.6 5325486 309.6 254.3 9.1 16.3

7.6

1058

97 Sizes identical to British UC 65107 311.2 305.8 10.9 17.0 15.2 72118 Sizes identical to British UC 79129 318.3 308.0 13.1 20.6 87143 322.8 308.9 14.0 22.9 15.2

96158 Sizes identical to British UC 106179 333.2 312.9 18.0 28.1 120202 340.6 315.0 20.1 31.8 136226 348.2 317.0 22.1 35.6

15.2152

240 Sizes identical to British UC 161253 356.4 319.3 24.4 39.6 15.2 170283 Sizes identical to British UC 190313 373.6 324.9 30.0 48.3 210342 382.3 327.5 32.6 52.6 230375 391.4 330.3 35.4 57.1 252415 402.6 333.8 38.9 62.7 279454 414.5 336.2 41.3 68.7 305

305

305

500 427.2 340.0 45.1 75.1

15.2

12

12

336


14/01/09 Page 28



33 2212739

526

45 3051 3417157

Sizes identical to British UB6¾

3864 347.0 203.1 7.7 13.5 4371 350.3 204.0 8.6 15.1 4820379 353.6 204.7 9.4 16.8

853

91 352.8 253.9 9.5 16.4 61101 356.6 254.9 10.5 18.3 68110 359.9 255.8 11.4 19.9 74

254

122 363.5 257.3 12.9 21.7

10

82116 357.1 304.8 10.9 18.2 76305125 360.2 305.4 11.5 19.8 12

84134 356.1 368.8 11.2 18.0 90147 359.7 370.0 12.3 19.8 99162 363.7 371.0 13.3 21.8 109179 367.8 372.6 15.0 23.9 120

368

196 372.4 374.0 16.4 26.2

14½

132216 375.4 393.7 17.3 27.7 145223 377.9 394.2 17.7 28.7 150237 380.5 395.4 18.9 30.2 159249 384.0 396.2 19.8 31.8 167262 386.6 397.5 21.1 33.3 176274 390.6 398.3 21.3 35.1 184287 393.2 399.0 22.6 36.6 193301 397.0 400.0 23.6 38.1 202314 399.3 401.3 24.9 39.6 211327 403.1 402.0 25.5 41.2 219347 407.4 403.6 27.2 43.7 233366 412.8 404.9 28.4 46.0 246382 416.1 406.3 29.8 48.0

15.2

257393 Sizes identical to British UC 264421 425.2 409.2 32.8 52.6 283463 434.8 412.2 35.8 57.4 311476 427.0 424.4 48.0 53.1 320509 445.5 415.5 39.1 62.7 342551 455.2 418.5 42.0 67.6 370592 464.6 421.4 45.0 72.3 398634 474.2 424.1 47.6 77.1 426677 483.1 427.6 51.2 81.5 455744 497.8 432.1 55.6 88.9 500818 514.1 436.9 60.5 97.0 550900 531.4 442.3 65.9 105.7 605990 549.7 448.3 71.9 114.8 665

1086 569.5 454.4 78.0 124.7 730

356

406

1202 580.1 471.4 95.0 130.0

15.2

14

16

808


14/01/09 Page 29



39 2614046

5½31

54 3660 4067 4574

Sizes identical to British UB

50178

85 417.3 180.8 10.9 18.2

7

5786 402.8 214.9 10.3 16.4 5895 406.4 215.9 11.3 18.2 64

106 410.5 216.9 12.3 20.2 71216

116 414.5 218.2 13.4 22.2

8½

78100 414.8 260.0 10.0 16.9 67115 419.6 261.5 11.6 19.3 77132 425.4 263.3 13.3 22.2 89

260

149 431.0 264.8 14.9 25.0

10¼

100131 410.5 292.1 12.8 20.2 88

406

292143 414.5 292.9 13.6 22.2

10.2

16

11½96

52 3560 4015267

Sizes identical to British UB 646

52 447.5 188.2 6.7 9.7 3561 450. 189. 8.1 10.8

10.241

67 4574 5082 5589 6098


65

191

106 469.1 193.9 12.6 20.6

7½

7195 453.9 221.5 10.2 17.4 64

104 457.2 222.2 11.1 19.1 70115 461.3 223.3 12.1 21.1 77

222

126 465.3 224.5 13.4 23.1

8¾

85113 462.5 280.3 10.8 17.3 76128 467.1 281.7 12.2 19.6 86144 472.2 283.1 13.6 22.1 97158 475.7 284.5 15.0 23.9 106177 481.8 286.1 16.6 26.9 119193 489.0 283.5 17.0 30.5 130213 495.0 285.0 18.5 33.5 143235 500.9 287.0 20.6 36.6 158260 509.0 288.9 22.6 40.4 175286 516.9 291.0 24.4 44.4 192314 525.0 293.5 26.9 48.5 211348 534.9 295.9 29.5 53.6 234384 545.1 299.0 32.5 58.4 258421 555.0 302.0 35.6 63.5 283

457

280

463 566.9 304.9 38.6 69.6

10.2

18

11

311


14/01/09 Page 30



65 524.8 165.1 8.9 11.4 4474 529.1 165.9 9.6 13.6 5016585 534.9 166.5 10.3 16.5

6½57

74 526.5 207.5 8.4 12.3 5082 528.3 208.8 9.5 13.2

12.7

5592 62

101 68109 73122


83

210

138 549.1 213.9 14.7 23.6 12.7

8¼

93122 529.8 227.6 12.7 20.2 82229143 537.0 229.6 14.6 23.7

16.5 996

150 543.0 312.0 12.7 20.3 101165 546.0 313.0 14.0 22.2 111182 551.0 314.0 15.2 24.4 122196 554.0 316.0 16.5 26.3 132219 560.0 318.0 18.3 29.2 147248 571.0 315.0 19.0 34.5 166272 577.0 317.0 21.1 37.6 182300 585.0 319.0 23.1 41.4 201331 593.0 322.0 25.4 45.5 223370 603.0 324.4 28.2 50.5 248409 612.9 327.4 31.0 55.6 275446 623.1 329.9 33.5 60.5 300496 635.0 333.5 37.1 66.5 333542 646.9 336.9 40.4 72.4 364

533

312

598 660.9 340.5 43.9 79.5

12.7

21

12¼

402


14/01/09 Page 31



82 598.7 177.9 10.0 12.8 5518092 603.0 178.8 10.9 15.0

12.7 762

101 68113 76125 84140


94153 623.1 228.6 14.0 24.9 103171 628.9 230.0 15.5 27.9 114191 635.0 231.5 17.0 31.0 128217 643.1 234.1 19.6 35.1 146243 651.0 236.0 21.6 39.1 163271 658.6 238.5 23.9 42.9 181295 667.0 240.5 25.9 47.0 198324 675.1 243.1 28.4 51.0 218

229

356 685.0 245.6 31.0 55.9

12.7

9

239155 611.0 324.0 12.7 19.0 104174 616.0 325.0 14.0 21.6 117195 622.0 327.0 15.4 24.4 131217 628.0 328.0 16.5 27.7 146241 635.0 329.0 17.1 31.0 162262 641.0 327.0 19.0 34.0 176285 647.0 329.0 20.6 37.1 192308 653.0 330.4 22.1 39.9 207341 660.9 333.0 24.4 43.9 229372 669.0 334.9 26.4 48.0 250415 679.0 338.0 29.5 53.1 279455 689.4 340.0 32.0 57.9 305498 699. 343. 35.1 63.0 335551 711. 347. 38.6 69.1 370608 724.9 350.5 41.9 75.9 408670 738.9 354.5 46.0 83.1 450

324

732 753.1 358.5 50.0 89.9

16.5 12¾

492193 616.0 355.6 14.4 22.9 130216 622.0 356.7 15.4 25.9 145

610

356238 627.9 357.9 16.7 28.8

17.8

24

14160


14/01/09 Page 32



125 84140 94152 102170


114192 702.0 254.0 15.5 27.9 129213 707.9 255.8 17.0 31.0 143237 714.0 257.8 19.1 34.0 159271 723.9 260.2 21.6 39.1 182299 732.0 262.8 23.9 42.9 201329 739.9 264.8 25.9 47.0 221368 749.8 267.7 28.9 52.1 247404 760.0 270.3 31.5 56.9 271

254

452 771.9 273.8 35.1 63.0

10

302217 695.0 354.7 15.4 24.8 146240 700.8 356.1 16.8 27.4 161265 706.4 357.8 18.4 30.2 178289 714.0 356.4 19.1 34.0 194323 722.1 358.5 21.1 38.1 217350 728.0 360.4 23.1 40.9 235384 736.1 362.4 24.9 45.0 258419 744.0 364.4 26.9 49.0 281457 752.0 366.9 29.5 53.1 307500 762.0 369.3 32.0 57.9 336548 771.9 372.5 35.1 63.0 368606 784.1 375.9 38.6 69.1 407667 798.1 379.5 41.9 75.9 448735 812.0 383.4 46.0 83.1 494

686

356

802 826.0 387.0 50.0 89.9

15.2

27

14

539

134 90147

Sizes identical to British UB99

161 758.0 266.0 13.8 19.3 16.5 108173 Sizes identical to British UB 116185 766.0 267.0 14.9 23.6 16.5 124197 Sizes identical to British UB 132220 779.0 266.2 16.5 30.0 148246 785.1 268.1 18.5 33.0 165276 793.0 270.1 20.6 37.1 185308 801.1 272.7 23.1 40.9 207336 809.0 274.6 24.9 44.9 226366 817.1 276.6 26.9 49.0 246400 825.0 279.1 29.5 53.1 269

267

439 835.2 281.7 32.0 57.9

10½

295257 773.0 381.0 16.6 27.1 173284 779.0 382.0 18.0 30.1 191314 785.9 383.7 19.7 33.4 211350 795.0 382.0 21.1 38.1 235389 802.9 384.9 23.6 41.9 261435 813.1 387.4 25.9 47.0 292484 823.0 390.4 29.0 52.1 326531 833. 393. 31.5 56.9 357582 843. 396. 34.5 62.0 391644 855.0 399.4 38.1 68.1 433710 868.9 403.0 41.4 74.9 477783 882.9 406.9 45.5 82.0 526

762

381

865 898.9 411.5 50.0 89.9

16.5

30

15

581


14/01/09 Page 33



176 118194


210 845.8 293.0 15.4 24.4 17.8 141226 Sizes identical to British UB 152251 859.0 292.1 17.0 31.0 169278 865.1 294.1 19.1 34.0 187304 871.2 295.7 20.6 37.1 204326 877.1 297.2 22.1 39.9 219361 885.0 299.6 24.4 43.9 243403 895.1 302.4 26.9 49.0 271448 905.3 305.4 30.0 54.1 301494 914.9 308.5 33.0 58.9 332

292

537 925.1 311.4 35.5 64.0

11½

361299 855.5 399.9 18.2 29.2 201329 861.8 401.4 19.7 32.4 221359 868.2 402.8 21.1 35.6 241391 877.1 401.4 22.1 39.9 263433 885.0 404.0 24.4 43.9 291473 893.1 406.0 26.4 48.0 318527 903.0 409.0 29.5 53.1 354576 913.0 411.0 32.0 57.9 387631 923.0 414.4 35.0 63.0 424696 935.0 418.0 38.6 69.1 468766 948.9 421.4 41.9 75.9 515844 962.9 425.5 46.0 83.1 567

838

400

921 977.1 429.5 50.0 89.9

17.8

33

15¾

619

201 135224


238 914.7 304.8 16.5 25.9 19.1 160253 Sizes identical to British UB 170271 922.8 306.7 18.4 30.0 19.1 182289 Sizes identical to British UB 194313 931.9 309.4 21.1 34.5 210345 943. 308. 22.1 39.9 232381 951. 310. 24.4 43.9 256425 960.9 312.8 26.9 49.0 285474 970.8 315.7 30.0 54.1 318521 980.7 318.8 33.0 58.9 349

305

576 992.9 321.8 36.1 65.0

19.1

12

386343 Sizes identical to British UB 230365 916.4 419.4 20.3 34.3 24.1 245388 Sizes identical to British UB 260417 927.6 421.5 22.5 39.9 280446 933.2 423.0 24.0 42.7 300488 942. 422. 25.9 47.0 328534 950. 425. 28.4 51.1 359585 960. 427. 31.0 55.9 393653 972. 431. 34.5 62.0 439722 984.0 434.5 38.1 43.4 485784 996. 437. 40.9 73.9 527875 1011.9 442.0 45.5 82.0 588967 1028. 446. 50.0 89.9 650

1071 1046.2 451.5 55.0 99.1 7201188 1066. 457. 60.5 109.0 798

914

419

1262 1078. 461. 64.0 115.1

24.1

36

16½

848


14/01/09 Page 34



222 149249


272 Sizes identical to European HEA 1000 183314 Sizes identical to European HEB 1000 211349 Sizes identical to European HEM 1000 235393 Sizes identical to British UB 264415 1020. 304. 26.0 46.0 30.0 278437 294487


494 1036. 309. 31.0 54.0 331534 1046. 311.4 33.0 58.9 359584 1056. 314. 36.0 64.0 392

305

693 1078.0 321.0 42.5 74.9

12

466259 970.3 400.0 16.5 21.1 174296 982.2 400.0 16.5 26.9 199321 990.1 400.0 16.5 31.0 215371 1000.3 400.0 19.1 36.1 249412 1008.1 402.1 21.1 39.9 277443 1012. 402. 23.6 41.9 297478 1017.5 404.1 25.4 45.0 321483 1020. 404. 25.4 46.0 324539 1030. 407. 28.4 51.1 362554 1032.0 407.9 29.5 52.1 372591 1040. 409. 31.0 55.9 397642 1048. 412. 34.0 60.0 431647 1050.0 412.5 34.0 61.0 435714 1062.0 415.5 36.8 67.1 480748 1068. 417. 39.0 70.0 503790 1075.4 419.4 40.9 73.9 531883 1091.9 423.9 45.5 82.0 593

406

975 1108.0 428.5 50.0 89.9

16

655286 970.3 449.8 18.0 21.1 192329 982.2 449.8 18.0 27.0 221363 992.1 449.8 18.0 32.0 244399 1000.0 450.8 19.1 35.9 268444 1008.1 452.9 21.1 39.9 298

1016

457

488 1016.0 454.9 23.1 43.9

30.0

40

18

328

295 1090. 18.0 31.0 198333 1100. 20.0 36.0 224369 1108. 22.0 40.0 248

305

424 1118.

300.0

26.0 45.0

12

285343 1090. 400. 18.0 31.0 230390 1100. 400. 20.0 36.0 262433 1108. 402. 22.0 40.0 290

1118

406

499 1118. 405. 26.0 45.0

20.0 44

16

335


14/01/09 Page 35

2.5.3.2 Standard S-Shapes

The sizes of standard American S-shapes with slopingflanges comply with Spec. ASTM A6/A6M (Ref./4/).S shapes are characterized by a inner flange slope equalto 1/6.The average thickness e is measured at the middle ofthe clear half-flange at the distance(b-a)/4 from the freeedge.

Figure 2-21 – American S Shapes [from Ref./5/]

S NominalSizes

(metric)Sizes [mm]

S NominalSizes

(imperial)H W h b a e r1 r2 H W

8 59.2 4.3 2.1 5.77511

76.263.7 8.9

6.6 7.3.8

37.5

11 67.6 4.9 4.1 7.710014

101.671.0 8.3

7.4 7.54.8 4

9.515 76.3 5.4 7.9 4.9 1013037

127.83.4 12.6

8.38.5 5. 5

14.718 84.6 5.9 7.9 4.9 12.515026

152.490.6 11.8

9.18.5 5. 6

17.223 93.0 6.4 8.5 5. 15.317530

177.898.0 11.4

9.99.5 5.2 7

2027 101.6 6.9 8.5 5. 18.420034

203.2105.9 11.2

10.89.5 5.2 8

2338 118.4 7.9 25.425052

254.125.6 15.1

12.5 10.5 6. 1035

47 127.0 8.9 31.852 129.0 10.9

13.8 11.5 6.535

61 133.4 11.7 40.8310

74

304.8

139.1 17.4 16.7 14. 6.512

5064 139.7 10.4 6.5 42.938074

381.143.5 14.

15.8 13.7.8 15

5081 152.4 11.7 54.7460

104457.2

158.8 18.117.6 14.5 9. 18

7098 158.9 12.8 66

112508.

162.2 16.120.2

75128 179.3 16.8 86

510

143515.6

182.9 20.323.4

15. 9.4 20

96119 177.8 12.7 80134 181.0 15.9 90149

609.6184.0 18.9

22.1100

158 199.9 15.7 106610

180622.3

204.5 20.327.7

15.5 9.6 24

121


14/01/09 Page 36

2.5.3.3 M ShapesThe letter M designates shapes that cannot be classified as W, HP or S shapes and are only available from alimited number of producers, or are infrequently rolled.Since the slope on their inner flange surfaces may vary for each producer, this program assumes that the profilehas parallel flanges with constant thickness equal to the average thickness.

M NominalSizes

(metric)Sizes [mm]

M NominalSizes

(imperial)H W h b a e r H W102 19 101.6 100.1 6.45 9.42 8. 4 13127 28 127.0 127.1 8.03 10.57 8. 5 18.9152 7 152.4 46.8 3.66 4.34 8.5 6 4.4152 30 152.4 150.8 6.35 9.63 8.5 6 20203 10 203.2 57.9 3.43 4.80 9. 8 6.5254 13 254.0 77.85 3.99 5.23 9.5 10 9305 18 304.8 59.2 4.50 5.71 10.5 12 11.8356 27 355.6 101.6 5.46 6.86 11.5 14 18

2.5.3.4 HP Sections

Figure 2-22 – American HP Section [from Ref./5/]

HP Section(metric) Sizes [mm]

H W h b a e r4320053

Identical to European HP

62 246. 256. 10.5 10.7250

85 254. 260. 14.4 14.413.

79 299. 306. 11. 11.93 303. 308. 13.1 13.1

110 308. 310. 15.4 15.5125 312. 312. 17.4 17.4

310

132 314. 313. 18.3 18.3108 346. 370. 12.8 12.8132 351. 373. 15.6 15.6152 356. 376. 17.9 17.9360

174 361. 378. 20.4 20.4

15.


14/01/09 Page 37

2.5.4 Japanese Sections

2.5.4.1 Wide Flange Sections

Figure 2-23 – Japanese Wide Flange Section [from Ref./26/]

Japanese wide flange shapes generally conform to JFE Tables complemented by a few additions from Ref./5/.

- WEIGHT JFE Wide Flange Shapes Catalog (Ref./26/),- WEIGHT ARCELOR Sales Programme (Ref./5/)

2.5.4.1.1 Large Flange WJL Shapes

WJL Sizes [mm]H W h b a e r100 17 100. 100. 6. 8.125 24 125. 125. 6.5 9.150 31 150. 150. 7. 10.

8.

175 40 175. 175. 7.5 11.50 200. 200. 8. 12.

20056 200. 204. 12. 12.64 244. 252. 11. 11.72 250. 250. 9. 14.25082 250. 255. 14. 14.83 294. 302. 12. 12.93 300. 300. 10. 15.300

105 300. 305. 15. 15.

13.

WJL Sizes [mm]H W h b a e r

105 338. 351. 13. 13.113 344. 348. 10. 16.129 344. 354. 16. 16.135 350. 350. 12. 19.

350

154 350. 357. 19. 19.

13.

140 388. 402. 15. 15.147 394. 398. 11. 18.168 394. 405. 18. 18.172 400. 400. 13. 21.197 400. 408. 21. 21.232 414. 405. 18. 28.283 428. 407. 20. 35.415 458. 417. 30. 50.

400

605 498. 432. 45. 70.

22.


14/01/09 Page 38

2.5.4.1.2 Medium Flange WJM Shapes

WJM Sizes [mm]H W h b a e r150 21 148. 100. 6. 9.200 30 194. 150. 6. 9.

8.

250 44 244. 175. 7. 11.300 56 294. 200. 8. 12.350 78 340. 250. 9. 14.400 105 390. 300. 10. 16.

111 482. 300. 11. 15.500

125 488. 300. 11. 18.

13.

WJM Sizes [mm]H W h b a e r

133 582. 300. 12. 17.147 588. 300. 12. 20.600170 594. 302. 14. 23.

13.

163 692. 300. 13. 20.700

182 700. 300. 13. 24.188 792. 300. 14. 22.

800207 800. 300. 14. 26.209 890. 299. 15. 23.241 900. 300. 16. 28.283 912. 302. 18. 34.900

304 918. 303. 19. 37.

18.

2.5.4.1.3 Narrow Flange WJS Shapes

WJS Sizes [mm]H W h b a e r150 14 150. 75. 5. 7.175 18 175. 90. 5. 8.

18 198. 99. 4.5 7.200

21 200. 100. 5.5 8.25 248. 124. 5. 8.

25029 250. 125. 6. 9.

8.

WJS Sizes [mm]H W h b a e r

32 298. 149. 5.5 8.300

37 300. 150. 6.5 9.41 346. 174. 6. 9.

35049 350. 175. 7. 11.

400 65 400. 200. 8. 13.450 75 450. 200. 9. 14.

78 496. 199. 9. 14.88 500. 200. 10. 16.500

101 506. 201. 11. 19.600 103 600. 200. 11. 17.

13.


14/01/09 Page 39

2.5.4.2 Heavy H-ColumnsThese non-standard heavy wide flange sections are only listed in JFE Tables (Ref./ 26/).

Figure 2-24 – Japanese Heavy Wide Flange Section [from Ref./26/]

HWJ Section Sizes [mm]H W h b a e r

235 418. 402. 15. 30.251 418. 407. 20. 30.268 418. 412. 25. 30.283 428. 407. 20. 35.284 418. 417. 30. 30.300 428. 412. 25. 35.315 438. 407. 20. 40.317 428. 417. 30. 35.332 438. 412. 25. 40.334 428. 422. 35. 35.349 438. 417. 30. 40.365 448. 412. 25. 45.367 438. 422. 35. 40.382 448. 417. 30. 45.

400×

400

384 438. 427. 40. 40.

22.


397 458. 412. 25. 50.400 448. 422. 35. 45.415 458. 417. 30. 50.417 448. 427. 40. 45.433 458. 422. 35. 50.435 448. 432. 45. 45.448 468. 417. 30. 55.451 458. 427. 40. 50.466 468. 422. 35. 55.469 458. 432. 45. 50.480 478. 417. 30. 60.484 468. 427. 40. 55.487 458. 437. 50. 50.499 478. 422. 35. 60.

400×

400

503 468. 432. 45. 55.

22.


14/01/09 Page 40


518 478. 427. 40. 60.521 468. 437. 50. 55.532 488. 422. 35. 65.537 478. 432. 45. 60.540 468. 442. 55. 55.551 488. 427. 40. 65.555 478. 437. 50. 60.565 498. 422. 35. 70.571 488. 432. 45. 65.574 478. 442. 55. 60.585 498. 427. 40. 70.590 488. 437. 50. 65.593 478. 447. 60. 60.605 498. 432. 45. 70.609 488. 442. 55. 65.619 508. 427. 40. 75.624 498. 437. 50. 70.628 488. 447. 60. 65.638 508. 432. 45. 75.644 498. 442. 55. 70.647 488. 452. 65. 65.658 508. 437. 50. 75.663 498. 447. 60. 70.672 518. 432. 45. 80.678 508. 442. 55. 75.683 498. 452. 65. 70.693 518. 437. 50. 80.698 508. 447. 60. 75.702 498. 457. 70. 70.706 528. 432. 45. 85.713 518. 442. 55. 80.718 508. 452. 65. 75.727 528. 437. 50. 85.733 518. 447. 60. 80.738 508. 457. 70. 75.740 538. 432. 45. 90.748 528. 442. 55. 85.752 518. 427. 40. 80.754 518. 452. 65. 80.758 508. 462. 75. 75.761 538. 437. 50. 90.768 528. 447. 60. 85.774 518. 457. 70. 80.782 538. 442. 55. 90.789 528. 452. 65. 85.794 518. 462. 75. 80.795 548. 437. 50. 95.804 538. 447. 60. 90.810 528. 457. 70. 85.

400×

400

815 518. 467. 80. 80.

22.


817 548. 442. 55. 95.824 538. 452. 65. 90.831 528. 462. 75. 85.838 548. 447. 60. 95.845 538. 457. 70. 90.851 528. 467. 80. 85.852 558. 442. 55. 100.860 548. 452. 65. 95.867 538. 462. 75. 90.872 528. 472. 85. 85.874 558. 447. 60. 100.882 548. 457. 70. 95.888 538. 467. 80. 90.896 558. 452. 65. 100.903 548. 462. 75. 95.909 568. 447. 60. 105.910 538. 472. 85. 90.918 558. 457. 70. 100.925 548. 467. 80. 95.930 538. 477. 90. 90.931 568. 452. 65. 105.940 558. 462. 75. 100.946 548. 472. 85. 95.953 568. 457. 70. 105.962 558. 467. 80. 100.966 578. 452. 65. 110.968 548. 477. 90. 95.976 568. 462. 75. 105.983 558. 472. 85. 100.989 578. 457. 70. 110.998 568. 467. 80. 105.

1005 558. 477. 90. 100.1012 578. 462. 75. 110.1020 568. 472. 85. 105.1025 588. 457. 70. 115.1035 578. 467. 80. 110.1042 568. 477. 90. 105.1048 588. 462. 75. 115.1057 578. 472. 85. 110.1072 588. 467. 80. 115.1080 578. 477. 90. 110.1084 598. 462. 75. 120.1094 588. 472. 85. 115.1108 598. 467. 80. 120.1117 588. 477. 90. 115.1131 598. 472. 85. 120.1145 608. 467. 80. 125.1155 598. 477. 90. 120.1168 608. 472. 85. 125.

400×

400

1192 608. 477. 90. 125.

22.


14/01/09 Page 41


204 492. 465. 15. 20.240 502. 465. 15. 25.260 502. 470. 20. 25.277 512. 465. 15. 30.280 502. 475. 25. 25.297 512. 470. 20. 30.317 512. 475. 25. 30.334 522. 470. 20. 35.337 512. 480. 30. 30.354 522. 475. 25. 35.371 532. 470. 20. 40.375 522. 480. 30. 35.392 532. 475. 25. 40.395 522. 485. 35. 35.412 532. 480. 30. 40.429 542. 475. 25. 45.433 532. 485. 35. 40.450 542. 480. 30. 45.454 532. 490. 40. 40.466 552. 475. 25. 50.471 542. 485. 35. 45.488 552. 480. 30. 50.493 542. 490. 40. 45.509 552. 485. 35. 50.514 542. 495. 45. 45.525 562. 480. 30. 55.531 552. 490. 40. 50.548 562. 485. 35. 55.553 552. 495. 45. 50.563 572. 480. 30. 60.570 562. 490. 40. 55.574 552. 500. 50. 50.586 572. 485. 35. 60.

500×

500

592 562. 495. 45. 55.

26.


608 572. 490. 40. 60.614 562. 500. 50. 55.631 572. 495. 45. 60.636 562. 505. 55. 55.647 582. 490. 40. 65.653 572. 500. 50. 60.669 582. 495. 45. 65.675 572. 505. 55. 60.685 592. 490. 40. 70.692 582. 500. 50. 65.698 572. 510. 60. 60.708 592. 495. 45. 70.715 582. 505. 55. 65.723 602. 490. 40. 75.731 592. 500. 50. 70.738 582. 510. 60. 65.747 602. 495. 45. 75.755 592. 505. 55. 70.761 582. 515. 65. 65.762 612. 490. 40. 80.771 602. 500. 50. 75.778 592. 510. 60. 70.786 612. 495. 45. 80.794 602. 505. 55. 75.801 592. 515. 65. 70.810 612. 500. 50. 80.818 602. 510. 60. 75.824 592. 520. 70. 70.834 612. 505. 55. 80.842 602. 515. 65. 75.858 612. 510. 60. 80.865 602. 520. 70. 75.882 612. 515. 65. 80.

500×

500

906 612. 520. 70. 80.

26.

348 670. 475. 25. 30.374 670. 480. 30. 30.385 680. 475. 25. 35.412 680. 480. 30. 35.439 680. 485. 35. 35.450 690. 480. 30. 40.477 690. 485. 35. 40.504 690. 490. 40. 40.515 700. 485. 35. 45.542 700. 490. 40. 45.570 700. 495. 45. 45.581 710. 490. 40. 50.609 710. 495. 45. 50.619 720. 490. 40. 55.636 710. 500. 50. 50.647 720. 495. 45. 55.676 720. 500. 50. 55.686 730. 495. 45. 60.

700×

500

704 720. 505. 55. 55.

26.

715 730. 500. 50. 60.744 730. 505. 55. 60.754 740. 500. 50. 65.772 730. 510. 60. 60.783 740. 505. 55. 65.812 740. 510. 60. 65.823 750. 505. 55. 70.842 740. 515. 65. 65.853 750. 510. 60. 70.863 760. 505. 55. 75.882 750. 515. 65. 70.893 760. 510. 60. 75.911 750. 520. 70. 70.922 760. 515. 65. 75.933 770. 510. 60. 80.952 760. 520. 70. 75.962 770. 515. 65. 80.

700×

500

993 770. 520. 70. 80.

26.


14/01/09 Page 42

2.5.5 Australian SectionsStandard Australian sections are essentially equivalent to their British counterpart from which they may differ byno more than a tenth of a millimeter.A few specific sections are however produced locally.

Australian parallel flange sections are identified by their overall height and weight (metric) as either- UBA H× W (universal beams),- UCA H× W (universal columns).where the letter “A” is used in this program to distinguish them from their British counterpart.

The dimensions in the metric system of all Australian shapes listed in the Tables below are obtained from theONESTEEL Catalog (Ref./29/).

2.5.5.1 Universal Beams (UBA)

UBANominal

SizesSizes [mm]

H W h b a e r14 150. 5.0 7.0

15018 155.

75.6.0 9.5

8.0

16 173. 4.5 7.018 175. 5.0 8.018022 179.

90.6.0 10.0

8.9

18 198. 99. 4.5 7.0 11.022 202. 133. 5.0 7.0 8.925200

30Sizes identical to British UB 203×133×W

26 248. 124. 5.0 8.0 12.03125037

Sizes identical to British UB 254×146×W

32 298. 149. 5.5 8.0 13.04031046


455136057


5441060


677446082


8253092


101113610125



14/01/09 Page 43

2.5.5.2 Universal Columns (UCA)

UCANominal

SizesSizes [mm]

H W h b a e r100 15 97. 99. 5.0 7.0 10.0

233015037

Sizes identical to British UC 152×152×W

465220060


7325089


97118137

310

158


2.5.5.3 TFB Tapered Flange Beams

Figure 2-25 – TFB Tapered Flange Beam [from Ref./29/]

The slope of the inner flange of TFB beams corresponds to an angle of 8.0 deg.The average thickness e is measured at the middle of the clear half-flange at the distance(b-a)/4 from the freeedge.

Sizes [mm]TFBh b a e r1 r2

100 100. 45. 4.0 6.0 7.0 3.0125 125. 65. 5.0 8.5 8.0 4.0


14/01/09 Page 44

2.5.5.4 Universal Bearing Piles (UBPA)

UBPANominal

SizesSizes [mm]

H W h b a e r200 122 230. 220. 25.0 25.0 11.4

79110310149

Sizes identical to British UBP 305×305×W

2.5.6 Southern African SectionsStandard parallel flange Southern-African sections are identical to their British UB counterpart (though onlyembracing a narrower range), and to a lesser extent include also small European IPEs or IPAs.The only few specific sections listed in the Table below consist of tapered flange I-shapes recognized in thisprogram as TSA. The sizes are obtained from the SAISC spreadsheet (Ref./32/) plus two additions from Ref./ 6/.

TSA Sizes [mm]H W h b a e r1 r2

127 13 127. 76.2 4.5 7.6152 17 152.4 88.9 4.9 8.3

7.9 2.4

178 22 177.8 5.3 9.025 203.2

101.65.8 10.4

9.4 3.2203 52 Sizes identical to British RSJ 203×52254 59 254. 9.1 18.0305 66 305.

152.10.2 18.2

15.5 7.6

The slope of the inner flange is equal to 5 deg for I-shapes up to and including TSA 203×258 deg from TSA 203×52 and beyond.

The average thickness e is measured at the middle of the clear half-flange at the distance(b-a)/4 from the freeedge.


14/01/09 Page 45

2.5.7 Indian SectionsThe dimensions of Indian shapes comply with Ref./22/ in terms of flange and web sizes.The root radius is approximated by comparison to international profiles having similar sizes in order to best matchthe area and elastic modulus of the section shown in the Tables of Ref./23/.

2.5.7.1 Wide Flange ISWB Beams

ISWBNominal

SizesSizes [mm]

H W h b a e r150 17 150. 100. 5.4 7.0175 22 175. 125. 5.8 7.4200 29 200. 140. 6.1 9.0225 34 225. 150. 6.4 9.9250 41 250. 6.7 9.0

7.

300 48 300. 7.4 10.0350 57 350. 8.0 11.4

8.

400 67 400. 8.6 13.0450 79 450.

200.

9.2 15.49.

95 9.9 14.7500

112500.

10.5 17.6134 11.2 21.3

600145

600.250.

11.8 23.6

10.

2.5.7.2 Medium Flange ISMB Beams

Sizes [mm]ISMB h b a e r100 100. 4.0 7.2125 125.

75.4.4 7.6

150 150. 80. 4.8 7.6175 175. 90. 5.5 8.6200 200. 100. 5.7 10.8225 225. 110. 6.5 11.8250 250. 125. 6.9 12.5

7.

300 300. 7.5 12.4350 350. 8.1 14.2

8.

400 400.140.

8.9 16.0450 450. 150. 9.4 17.4

9.

500 500. 180. 10.2 17.2550 550. 190. 11.2 19.3600 600. 210. 12.0 20.8

10.


14/01/09 Page 46

2.5.7.3 Narrow Flange ISLB Beams

Sizes [mm]ISLBh b a e r

75 75. 3.7 5.0 6.100 100.

50.4.0 6.4

125 125. 75. 4.4 6.5150 150. 80. 4.8 6.8175 175. 90. 5.1 6.9200 200. 5.4 7.3225 225.

100.5.8 8.6

250 250. 125. 6.1 8.2275 275. 140. 6.4 8.8

7.

300 300. 150. 6.7 9.4325 325. 7.0 9.8

8.

350 350. 7.4 11.4400 400.

165.8. 12.5

450 450. 170. 8.6 13.49.

500 500. 180. 9.2 14.1550 550. 190. 9.9 15.0600 600. 210. 10.5 15.5

10.

2.5.7.4 ISHB Columns

ISHBNominal

SizesSizes [mm]

H W h b a e r27 5.431 8.415035

150. 150.11.8

37 6.1200

40200. 200.

7.8

9.0

43 6.5225

47225. 225.

8.69.1

51 6.9250 55

250. 8.8 9.7

7.

59 7.6300

63300.

9.410.6

67 8.3350

72350.

10.111.6

8.

77 9.1400

82400.

10.612.7

87 9.8450

92450.

250.

11.313.7

9.

2.5.7.5 ISJB Joists

Sizes [mm]ISJBh b a e r

150 150.175 175.

50. 3.0 4.6

200 200. 60. 3.4225 225. 80. 3.7

5.06.


14/01/09 Page 47

2.5.7.6 ISMC Shapes

Sizes [mm]ISMCh b a e r

75 75. 40. 4.4 7.3100 100. 50. 4.7 7.5125 125. 65. 5.0 8.1150 150. 75. 5.4 9.0175 175. 75. 5.7 10.2

7.

200 200. 75. 6.1 11.4225 225. 80. 6.4 12.4250 250. 80. 7.1 14.1

8.

300 300. 90. 7.6 13.6350 350. 100. 8.1 13.5

9.

400 400. 100. 8.6 15.3 10.

2.5.7.7 ISLC Shapes

Sizes [mm]ISLCh b a e r

75 75. 40. 3.7 6.0100 100. 50. 4.0 6.4125 125. 65. 4.4 6.6150 150. 75. 4.8 7.8175 175. 75. 5.1 9.5

6.

200 200. 75. 5.5 10.8225 225. 90. 5.8 10.2250 250. 100. 6.1 10.7

7.

300 300. 100. 6.7 11.6350 350. 100. 7.4 12.5

8.

400 400. 100. 8.0 14.0 9.

2.5.7.8 ISJC Shapes

Sizes [mm]ISJCh b a e r

100 100. 45. 3.0 5.1 6.125 125. 50. 3.0 6.6150 150. 55. 3.6 6.9175 175. 60. 3.6 6.9

7.

200 200. 70. 4.1 7.1 8.


14/01/09 Page 48

2.5.8 Russian SectionsThe dimensions of Russian hot-rolled shapes comply with Ref./20/. The following correspondence has beenestablished between the designation of a particular shape in SECELEM and its original reference in Ref./20/ inan attempt to maintain some consistency with the nomenclature implemented in other Codes.

GOST 26020 SECELEMnominal height in centimeters in millimetersnarrow flange beam xx? GSTBwide flange beam xx? GSTWcolumn xx? GSTKalternate xx?? and xx?? GSTDclass 1, 2, 3, 4 nominal weight (in Kg/m)

2.5.8.1 Narrow Flange Beams

GSTB Sizes [mm]H W h b a e r100 8 100. 55. 4.1 5.7

9 117.6 3.8 5.1120

10 120.64.

4.4 6.311 137.4 3.8 5.6

14013 140.

73.4.7 6.9

7.

13 157. 4.0 5.9160

16 160.82.

5.0 7.415 177. 4.3 6.5

180 19 180. 91. 5.3 8.0

9.

200 22 200. 100. 5.6 8.5230 26 230. 110. 5.6 9.0

28 258. 5.8 8.5260

31 261.120.

6.0 10.0

12.

33 296. 5.8 8.5300

37 299.140.

6.0 10.015.

39 346. 6.2 8.5350

43 349.155.

6.5 10.018.

48 392. 7.0 9.5400

55 396.165.

7.5 11.560 443. 7.8 11.0

45067 447.

180.8.4 13.0

73 492. 8.8 12.0500 81 496. 200. 9.2 14.0

21.

89 543. 9.5 13.5550

98 547.220.

10.0 15.5106 593. 10.5 15.5

600116 597.

230.11.0 17.5

129 691. 12.0 15.5700

144 697.260.

12.5 18.5

24.

159 791. 13.5 17.0800

178 798.280.

14.0 20.526.

194 893. 15.0 18.5900

214 900.300.

15.5 22.0231 990. 16.0 21.0258 998. 17.0 25.0286 1006. 18.0 29.01000

314 1013.

320.

19.5 32.5

30.


14/01/09 Page 49

Figure 2-26 – Russian Hot-Rolled Shape with Parallel Flanges [from Ref./20/]

2.5.8.2 Wide Flange Beams

GSTW Sizes [mm]H W h b a e r200 30 193. 150. 6.0 9.0 13.230 36 226. 155. 6.5 10.0 14.

43 251. 7.0 10.0260

49 255.180.

7.5 12.016.

54 291. 8.0 11.061 295. 8.5 13.030068 299.

200.9.0 15.0

18.

75 338. 9.5 12.582 341. 10.0 14.035091 345.

250.10.5 16.0

20.

96 388. 9.5 14.0111 392. 11.5 16.0400123 396. 12.5 18.0

22.

114 484. 11.0 15.0139 489. 14.5 17.5156 495. 15.5 20.5500

174 501.

300.

16.5 23.5

26.

142 580. 12.0 17.0177 587. 16.0 20.5205 595. 18.0 24.5600

234 603. 20.0 28.5

28.

170 683. 13.5 19.0198 691. 15.0 23.0235 700. 18.0 27.5261 708. 20.5 31.5

700

306 718.

320.

23.0 36.5

30.


14/01/09 Page 50

2.5.8.3 Columns

GSTK Sizes [mm]H W h b a e r

41 195. 6.5 10.0200

47 198.200.

7.0 11.513.

52 227. 7.0 10.5230

59 230.240.

8.0 12.014.

65 255. 8.0 12.073 258. 9.0 13.526083 262.

260.10.0 15.5

16.

85 296. 9.0 13.596 300. 10.0 15.5300

109 304.300.

11.5 17.518.

110 343. 10.0 15.0126 348. 11.0 17.5350144 353.

350.13.0 20.0

20.

138 393. 11.0 16.5166 400. 13.0 20.0202 409. 16.0 24.5242 419. 19.0 29.5

400

291 431.

400.

23.0 35.5

22.

2.5.8.4 Alternate Beam-Columns

GSTD Sizes [mm]H W h b a e r240 28 239. 115. 5.5 9.3270 32 269. 125. 6.0 9.5

15.

360 49 360. 145. 7.2 12.3 18.350 34 349. 127. 5.8 8.5400 40 399. 139. 6.2 9.0450 53 450. 152. 7.4 11.0

15.

450 65 450.0 180.0 7.6 13.3300 73 300.6 201.9 9.4 16.0

18.

400 124 397.6 302.0 11.5 18.7 22.500 155 496.2 303.8 14.2 21.0 26.

2.5.8.5 Tapered Flange Beams

Tapered flange I-beams are in this program designatedby GSTS (the “S” meaning slope) and are identified bytheir height (in millimeters) exclusively.

Figure 2-27 – Russian Hot-Rolled Shapewith Tapered Flanges


14/01/09 Page 51

Sizes [mm]GSTSh b a e r1 r2

100 100. 55. 4.5 7.2 7. 2.5120 120. 64. 4.8 7.3 7.5140 140. 73. 4.9 7.5 8.

3.

160 160. 81. 5.0 7.8 8.5180 180. 90. 5.1 8.1 9.

3.5

200 200. 100. 5.2 8.4 9.5220 220. 110. 5.4 8.7 10.240 240. 115. 5.6 9.5 10.5

4.

270 270. 125. 6.0 9.8 11. 4.5300 300. 135. 6.5 10.2 12.330 330. 140. 7.0 11.2 13.

5.

360 360. 145. 7.5 12.3 14.400 400. 155. 8.3 13.0 15.

6.

450 450. 160. 9.0 14.2 16.500 500. 170. 10.0 15.2 17.550 550. 180. 11.0 16.5 18.

7.

600 600. 190. 12.0 17.8 20. 8.

Figure 2-28 – Stockpiled Rolled Shapes on “Goldeneye” Project [courtesy SHELL EXPRO UK]


14/01/09 Page 52

2.6 Korean SectionsThe sizes of Korean wide-flange and bearing piles sections corresponding to Korean standard KS-D-3502(Ref./27/) are listed in the INISTEEL Catalog (Ref./ 24/).

2.6.1 Wide Flange SectionsKorean wide flange sections reproduce to a large extent the standard Japanese wide, medium and narrow flangesections. Only specific Korean shapes are listed in this section.

KSWF Section Sizes [mm]H B W h b a e r200 200 66 208.0 202.0 10.0 16.0 13.0250 250 67 248.0 249.0 8.0 13.0 16.0

200 65 298.0 201.0 9.0 14.087 298.0 299.0 9.0 14.0

106 304.0 301.0 11.0 17.0130 310.0 305.0 15.0 20.0

300 300

142 310.0 310.0 20.0 20.0

18.0

340 250 69 336.0 249.0 8.0 12.0 20.0350 175 58 354.0 176.0 8.0 13.0 14.0

57 396.0 199.0 7.0 11.0200

75 404.0 201.0 9.0 15.016.0

300 94 386.0 299.0 9.0 14.0400

400 200 406.0 403.0 16.0 24.022.0

200 66 446.0 199.0 8.0 12.0 18.0106 434.0 299.0 10.0 15.0450 300124 440.0 300.0 11.0 18.0

24.0

95 596.0 199.0 10.0 15.0120 606.0 201.0 12.0 20.0600 200134 612.0 202.0 13.0 23.0

22.0

700 300 215 708.0 302.0 15.0 28.0800 300 241 808.0 302.0 16.0 30.0

28.0

2.6.2 Bearing Piles

KSHPSection

Sizes [mm]

H W h b a e r200 56 200.0 204.0 12.0 12.0 13.0

64 244.0 252.0 11.0 11.0250

82 250.0 255.0 14.0 14.016.0

84 294.0 302.0 12.0 12.094 300.0 300.0 10.0 15.0300

106 300.0 305.0 15.0 15.018.0

106 338.0 351.0 13.0 13.0131 344.0 354.0 16.0 16.0137 350.0 350.0 12.0 19.0350

156 350.0 357.0 19.0 19.0

20.0

140 388.0 402.0 15.0 15.0168 394.0 405.0 18.0 18.0172 400.0 400.0 13.0 21.0197 400.0 408.0 21.0 21.0232 414.0 405.0 18.0 28.0

400

283 428.0 407.0 20.0 35.0

22.0


14/01/09 Page 53

2.7 Characteristic Buckling Resistance

2.7.1 Buckling CurveThe characteristic buckling resistance of a compression member is given by most codes (NPD, DnV, NS) as a

function of the reduced slenderness EF σσλ /= , where σE is the elastic buckling resistance for the buckling

mode under consideration.A compression member is defined as "stocky" if the reduced slenderness with respect to the critical columnbuckling mode is less than 0.2.The non-dimensional expression of the buckling curves is given by Ayrton-Perry’s formula

[ ]2

2220

20

2

4)(1)(1

λ

λλλλαλλλασσ −+−+−+−+

=F

cr [17]

where λ0=0.2 for beam sections.

2.7.2 Cross-Section TypesThe value of the coefficient α depends on the type of cross-section and its fabrication procedure.The three most common types (A, B and C) refer to the following cross-sections

Curve for Buckling / AxisSectionType

FabricationProcess Weak Strong

hot rolled A Atubes, hollow sectionscold formed A Ah/b > 1.2 B A

rolled I and H profilesh/b < 1.2 C Bflame cut flanges B B

welded I and H profilesrolled flanges C B

rolled I and H profiles welded flange cover plates A Bstress-relieved I and H profiles B A

welded box B Bheavy welds and b/t < 30 C Cbox sectionsstress relieved A A

Figure 2-29 – Stockpiled IPN Sections


14/01/09 Page 54

3 VARIABLES AND UNITS

Text Program Description Unit

3.1 Input Data

w w material density t/m3

D D tube outer diameter mt t tube wall thickness mb b flange width (I-beam & box only) me e flange thickness (I-beam & box only) mH h section height (I-beam & box only) ma a web thickness (I-beam & box only) mr r root radius (I-beam & box only) md d distance between web centerlines (box only) m

Figure 3-1 – Two-Strand Jumbo Beam Blank Caster[courtesy VOEST-ALPINE Industrieanlagenbau (VAI)]


14/01/09 Page 55

3.2 Default Values

w = 7.85 [t/m3] (steel)

3.3 Output Data

AX Ax section area m2

WY Wy elastic section modulus about strong axis m3

WZ Wz elastic section modulus about weak axis m3

JX Jx torsional inertia m4

IY Iy inertia about strong axis m4

IZ Iz inertia about weak axis m4

CW Cw warping constant m6

CX Cx torsion modulus of a tube m3

AY Ay shear area along weak axis m2

AZ Az shear area along strong axis m2

rT rt gyration radius of flange plus one-third of web in compression (AISC) mrY ry gyration radius about strong axis mrZ rz gyration radius about weak axis mss ss length of stiff bearing mSY Sy plastic section modulus about strong axis m3

SZ Sz plastic section modulus about weak axis m3

q q mass of beam per unit length t/mAL Al painting surface per unit length m2/ mAG Ag painting surface per unit mass m2/t

Figure 3-2 – Steel Beam


14/01/09 Page 56

4 OPERATING LIMITS AND WARNINGS

4.1 Selection of Standard ShapesIn the event that nominal sizes are specified at random by the User, the program always selects the standard shapewith sizes equal or lesser that best suit the description.

For example an American wide flange specified as W 380 × 400 × 173will automatically be corrected by the program to W 356 × 368 × 162

4.2 Interface with GTSTRUDLThis routine generates as file SECELEM.GTS the section properties of I-beams exclusively (rolled or welded) ina format compatible with the GTTABLE pre-processor to the mainframe program GTSTRUDL.Under these circumstances the dimensions of the section in SECELEM must imperatively be input in meters, inorder that the GTTABLE output is provided in centimeters.

The format of the GTTABLE output is as follows

UNITS CENTIMETERS$$ ADD ITEMS 'AX' 'AY' 'AZ' 'IX' 'IY' 'IZ' 'SY' 'SZ' - 'YD' 'ZD' 'YC' 'ZC' 'EY' 'EZ' 'FLTK' 'WBTK' - 'RY' 'RZ' 'INTYD' 'BF/2TF' 'D/TW' 'RT' 'YD/AFL'$$ 'IPROFILE' XX.XX XX.XX XX.XX XX.XX XXXXX.X XXXXX.X XXX.X XXX.X - XX.XXX XX.XXX XX.XXX X.XXX X.XXX X.XXX X.XXX X.XXX - X.XXX XX.XXX XX.XXX X.XXXX XX.XXX X.XXX X.XXX

4.3 Radius of Gyration with Respect to Torsional Buckling

For doubly symmetrical I-sections with horizontal flanges4

)( 2ehIC Z

W+

≈

The effective radius of gyration defined in Section 2.2.3 becomes( )

Y

ZT W

ehIr

+=2

And may be approximated accurately as the radius of gyration of a section comprising the compression flangeplus 1/6th of the web area, taken about an axis in the plan of the web.

⋅+

=

beah

brT

61112


14/01/09 Page 57

5 ASSOCIATED ROUTINES

5.1 Upstream

None

5.2 DownstreamSECELEM is called as subroutine by the following programs

- UNEQISEC Properties of I-Sections with Unequal Flanges- SECASD AISC-ASD/API-WSD Section Code Check- SECLRFD AISC/API LRFD Section Code Check- SECBS595 Section Check according to BS 5950 Rules- SECCM66 CM66 Section Code Check- SECNS Section Check according to NS 3472E (2nd ed.) Rules- MONORAIL Bending Stresses in Overhanging Monorails- TWISTIBM Torsion in a Straight I-Beam Loaded by Torques- CIRIGIRD Circular I-Girder Loaded Perpendicularly to its Plan

Figure 5-1 – End Quay Stools Supporting “Dunbar” Topside Skidway [courtesy TOTAL]


14/01/09 Page 58

6 REFERENCES & BIBLIOGRAPHY

6.1 References

1. AMERICAN INSTITUTE OF STEEL CONSTRUCTION (AISC) - Specifications for the Design,Fabrication and Erection of Structural Steel for Buildings - Allowable Stress Design (9th edition), Chicago,Illinois [1991]

2. AMERICAN INSTITUTE OF STEEL CONSTRUCTION (AISC) – Availability of Structural Steel Shapes /Modern Steel Construction, Chicago, Illinois [Jan’2002]

3. AMERICAN PETROLEUM INSTITUTE (API) – Specification for Line Pipe / Specification 5L (41st

edition) [Apr’1995]4. AMERICAN SOCIETY FOR TESTING AND MATERIALS (ASTM) – General Requirements for Rolled

Steel Plates, Shapes, Sheet Piling and Bars for Structural Use / Spec. ASTM A6/A6M-05, Philadelphia,Pennsylvania [Apr’2005]

5. ARCELOR (EUROPROFIL ARBED) – Sales Programme : Structural Shapes [Jan’1993, Mar’2001 &Jan’2005]

6. ASSOCIATION FRANÇAISE DE NORMALISATION (AFNOR) – Poutrelles à Larges Ailes à FacesParallèles: Dimensions / Spec. NF A 45-201 [Sep’1983]

7. ASSOCIATION FRANÇAISE DE NORMALISATION (AFNOR) – Poutrelles IPE: Poutrelles à AilesParallèles / Spec. NF A 45-205 [Sep’1983]

8. ASSOCIATION FRANÇAISE DE NORMALISATION (AFNOR) – Poutrelles IPN: Dimensions / Spec. NFA 45-209 [Sep’1983]

9. BAUER ENGINEERING – I-Section Taper Flange – SABS Sections (spreadsheet)10. BRITISH STANDARD INSTITUTION (BSI) - Structural Steel Sections: Specification for Hot-Rolled

Sections / Standard BS 4-1 [1993]11. BRITISH STEEL – British Steel Manual On-Line / Website www.civl.port.ac.uk/britishsteel12. BROCKENBROUGH, R.L. – AISC Rehabilitation and Retrofit Guide: A Reference for Historic Shapes and

Specifications / AISC Design Guide #15 [2002] & Corrections [May’2002]13. CANADIAN INSTITUTE OF STEEL CONSTRUCTION (CISC) – Handbook of Steel Construction / 1st

edition (2nd printing) [Dec’1967]14. CANADIAN INSTITUTE OF STEEL CONSTRUCTION (CISC) – W Shapes Availability [Aug’2004]15. CENTRE TECHNIQUE INDUSTRIEL DE LA CONSTRUCTION MÉTALLIQUE (CTICM) – Geometrical

Properties of I, H, or IPN or UPN Rolled Sections / Connections Design and Detailing: Procedure Guide,EUREKA EU130 “CIMSTEEL” [Aug’1995]

16. CORUS CONSTRUCTION AND INDUSTRIAL – Structural Sections to BS4: Part 1: 1993 and BS EN10056: 1999 [2003]

17. CORUS CONSTRUCTION AND INDUSTRIAL – Structural Sections in Accordance With ASTMSpecifications – Metric [2003]

18. DEUTSCHES INSTITUT FÜR NORMUNG (DIN) – Formstahl, Warmgewalzte I-Träger, Breite I-Träger,IPB und IB-Reihe, Maße, Gewichte, Zulässige Abweichungen, Statische Werte / DIN 1025-1 [1963]

19. EUROPEAN COMMITTEE FOR STANDARDIZATION (CEN) – Eurocode 3: Design of Steel Structures –Part 1.1: General Rules and Rules for Buildings / European Prestandard ENV 1993-1-1 [Apr’1992] & AnnexG : Design for Torsion Resistance [Aug’1998]

20. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ??? (????) – ???????? ???????? ?????????????(Hot-Rolled Steel Flange-Beams: Rolling Products) / Spec. GOST 8239-89 [Jul’1990]

21. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ??? (????) – ???????? ???????? ?????????? ?????????????? ??????? ????? : ????????? ( Hot-Rolled Steel I-Beam with Parallel Flange Edges :Dimensions) / Spec. GOST 26020 [Dec’1983]

22. INDIAN STANDARD – Dimensions for Hot-Rolled Steel Beam, Channel and Angle Sections / Standard IS808 (3rd edition) [1989]


14/01/09 Page 59

23. INDIAN STANDARD – Code of Practice for General Construction in Steel / Draft Standard IS 800 (3rd

edition) [Oct’2004]24. INISTEEL – Products Guide / Incheon, Korea25. JAPANESE STANDARD – Dimensions, Mass and Permissible Variations of Hot Rolled Steel Sections /

Standard JIS G 3192 [2000]26. JFE STEEL CORPORATION – Wide Flange Shapes27. KOREAN INDUSTRIAL STANDARDS ASSOCIATION – Dimensions, Weights and Tolerances of Hot-

Rolled Steel Sections / Standard KS-D-350228. OFFICE TECHNIQUE POUR L’UTILISATION DE L’ACIER (OTUA) – Produits Sidérurgiques;

Caractéristiques Dimensionnelles [1993]29. ONESTEEL Ltd – Hot-Rolled Shapes Section Properties (3rd edition) [Dec’2003]30. SEABURG, P.A. & Carter C.J. – Torsional Analysis of Structural Steel Members / AISC Steel Design Guide

Series No 931. SKYLINE STEEL - Delivery Conditions and Tolerances [Nov’2003]32. SOUTHERN AFRICAN INSTITUTE OF STEEL CONSTRUCTION (SAISC) – Database of Structural

Steel Sections (spreadsheet)33. YOUNG, W.C. - Roark's Formulas for Stress and Strain / McGraw Hill (6th edition) [1989]

Figure 6-1 – Plate Girder Assembly & Welding [courtesy EIFFEL]


14/01/09 Page 60

6.2 Bibliography

34. AMERICAN INSTITUTE OF STEEL CONSTRUCTION (AISC) – Changes to T, k and k1 Dimensions forW-Shapes / AISC Advisory [Feb’2001]

35. BORNSCHEUER, F.W. & ANHEUSER, L. – Tafeln der Torsionskenngrössen für die Walzprofile der DIN-1025-1027 / Der Stahlbau [Mar’1961]

36. CANADIAN INSTITUTE OF STEEL CONSTRUCTION (CISC) – Canadian Steel Construction / 2nd

edition [Nov’1940]37. CANADIAN INSTITUTE OF STEEL CONSTRUCTION (CISC) – Torsional Section Properties of Steel

Shapes [Aug’2002]38. CASSIE, W.F. & DOBIE, W.B. – The Torsional Stiffness of Structural Sections / The Structural Engineer

[Mar’1948]39. CORUS CONSTRUCTION AND INDUSTRIAL – Structural Sections in Accordance With European

Specifications [2003]40. CORUS CONSTRUCTION AND INDUSTRIAL – Structural Sections in Accordance With ASTM

Specifications – Imperial [2003]41. CORUS CONSTRUCTION AND INDUSTRIAL – Jumbo Sections [2004]42. CORUS CONSTRUCTION AND INDUSTRIAL – European Structural Steel Standard EN 10025: 2004 –

Explanation and Comparison to Previous Standards [2004]43. DARWISH, I.A. & JOHNSTON, B.G. – Torsion of Structural Shapes / J. Structural Division, ASCE

[Feb’1965]44. HONG LEONG CORPORATION Ltd – Handbook for Structural Steel / Singapore [Nov’1983]45. JAPANESE STANDARD JIS A 5526 [1994]46. KAWAMURA, A., YAMAMOTO, K. & IMAMURA, H. – Fixed Outer Dimensions H-Shapes, 1000 and

950mm Series / Kawasaki Steel Technical Report No 47 [Dec’2002]47. KOREAN INDUSTRIAL STANDARDS ASSOCIATION – Rolled Steels for General Structure / Standard

KS-D-350348. KOREAN INDUSTRIAL STANDARDS ASSOCIATION – Rolled Steels for Welded Structures / Standard

KS-D-351549. OFFICE TECHNIQUE POUR L’UTILISATION DE L’ACIER (OTUA) – Produits Sidérurgiques:

Caractéristiques Dimensionnelles / Paris [1993]50. SOUTHERN AFRICAN INSTITUTE OF STEEL CONSTRUCTION (SAISC) – Availability of Steel

Sections in South Africa – I, H and Channel Sections [2002]51. SVERSTALLAT A/S – Terauda Velmejumi / Riga [2003]52. STANDARDS AUSTRALIA – Structural Steel ; Part 1: Hot-Rolled Bars and Sections / Standard AS/NZS

3679.1 [Feb’1996]


14/01/09 Page 61

7 EXAMPLES

**************************************************************** * * * SECELEM * * * * Properties of Elementary Sections * * * * 03:14:45 Version 05.05 09/05/05 * * * ****************************************************************

Units : m, t

The following runs reproduce the properties of standard international hot rolled sections.

Figure 7-1 – Cross-Beams Underneath “Dunbar” Topside Skidway [courtesy TOTAL]


14/01/09 Page 62

7.1 European Sections

7.1.1 HEAThis run computes the properties of an HE300A column section.

Steel : w = 7.850E+00

Section : rolled HEA European 300

b = 0.3000 e = 0.0140 h = 0.2900 a = 0.0085 r = 0.0270

Ax= 1.125E-02 Wy= 1.260E-03 Wz= 4.206E-04 Jx= 8.517E-07 Iy= 1.826E-04 Iz= 6.310E-05 rt= 0.0804 ry= 0.1274 rz= 0.0749 Cw= 1.200E-06 Ay= 8.702E-03 Az= 3.728E-03

ss= 0.0681 Sy= 1.383E-03 Sz= 6.412E-04

q = 8.833E-02 Al= 1.717E+00 Ag= 1.943E+01

Compared Results SECELEM Ref./5/area [cm2] 112.5 112.5torsional inertia [cm4] 85.17 85.17strong inertia [cm4] 18260. 18260.weak inertia [cm4] 6310. 6310.strong elastic modulus [cm3] 1260. 1260.weak elastic modulus [cm3] 420.6 420.6warping constant [×10-3 cm6] 1200. 1200.0strong plastic modulus [cm3] 1383. 1383.weak plastic modulus [cm3] 641.2 641.2length of stiff bearing [cm] 6.81 6.813


14/01/09 Page 63

7.1.2 IPNThis run computes the properties of an IPN 400 section.

Steel : w = 7.850E+00

Section : rolled IPN European 400

b = 0.1550 e = 0.0216 h = 0.4000 a = 0.0144 r = 0.0144


Sy= 1.712E-03 Sz= 2.536E-04

q = 9.243E-02 Al= 1.326E+00 Ag= 1.435E+01

Compared Results SECELEM Ref./5/area [cm2] 117.7 118.torsional inertia [cm4] 160.8 170.strong inertia [cm4] 29160. 29210.weak inertia [cm4] 1156. 1160.strong elastic modulus [cm3] 1458. 1460.weak elastic modulus [cm3] 149.2 149.warping constant [×10-3 cm6] 409.4 420.strong plastic modulus [cm3] 1712. 1714.weak plastic modulus [cm3] 253.6 253.


14/01/09 Page 64

7.2 British Sections

7.2.1 UB BeamThis run computes the properties of a Universal Beam UB 610×305×179.

Steel : w = 7.850E+00

Section : rolled UB British 610x305x 179

b = 0.3071 e = 0.0236 h = 0.6202 a = 0.0141 r = 0.0165


Sy= 5.547E-03 Sz= 1.144E-03

q = 1.790E-01 Al= 2.412E+00 Ag= 1.347E+01

Compared Results SECELEM Ref./16/area [cm2] 228.1 228.torsional inertia [cm4] 341.6 340.strong inertia [cm4] 153000. 153000.weak inertia [cm4] 11410. 11410.strong elastic modulus [cm3] 4935. 4935.weak elastic modulus [cm3] 743.0 743.warping constant [×10-3 cm6] 10140. 10200.strong plastic modulus [cm3] 5547. 5547.weak plastic modulus [cm3] 1144. 1144.


14/01/09 Page 65

7.2.2 UC ColumnThis run computes the properties of a Universal Column UC 305×305×240.

Steel : w = 7.850E+00

Section : rolled UC British 305x305x 240

b = 0.3184 e = 0.0377 h = 0.3525 a = 0.0230 r = 0.0152


Sy= 4.247E-03 Sz= 1.951E-03

q = 2.400E-01 Al= 1.907E+00 Ag= 7.942E+00

Compared Results SECELEM Ref./16/area [cm2] 305.8 306.torsional inertia [cm4] 1287. 1271.strong inertia [cm4] 64200. 64200.weak inertia [cm4] 20310. 20310.strong elastic modulus [cm3] 3643. 3643.weak elastic modulus [cm3] 1276. 1276.warping constant [×10-3 cm6] 5025. 5030.strong plastic modulus [cm3] 4247. 4247.weak plastic modulus [cm3] 1951. 1951.


14/01/09 Page 66

7.2.3 RSJ-BeamThis run computes the properties of a RSJ 203×52 beam with sloping flanges.

Steel : w = 7.850E+00

Section : rolled RSJ British 203 x 52

b = 0.1524 e = 0.0165 h = 0.2032 a = 0.0089 r = 0.0155


Sy= 5.409E-04 Sz= 1.761E-04

q = 5.225E-02 Al= 9.323E-01 Ag= 1.784E+01

Compared Results SECELEM Ref./16/area [cm2] 66.56 66.6torsional inertia [cm4] 65.35 64.8strong inertia [cm4] 4798. 4800.weak inertia [cm4] 815.9 816.strong elastic modulus [cm3] 472.3 472.weak elastic modulus [cm3] 107.1 107.warping constant [×10-3 cm6] 70.29 71.1strong plastic modulus [cm3] 540.9 541.weak plastic modulus [cm3] 176.1 176.


14/01/09 Page 67

7.3 American Sections

7.3.1 W BeamThis run computes the properties of a jumbo wide flange section. W 356×406×1086

Steel : w = 7.850E+00

Section : rolled W American 356x406x1086

b = 0.4544 e = 0.1247 h = 0.5695 a = 0.0780 r = 0.0152


Sy= 2.723E-02 Sz= 1.337E-02

q = 1.087E+00 Al= 2.774E+00 Ag= 2.552E+00

Compared Results SECELEM Ref./1/ Ref./5/area [cm2] 1385. 1387. (2150 in2) 1386.torsional inertia [cm4] 62030. 60350. (1450 in4) 62290.strong inertia [cm4] 597000. 595200. (14300 in4) 595700.weak inertia [cm4] 196300. 196500. (4720 in4) 196200.strong elastic modulus [cm3] 20970. 20970. (1280 in3) 20940.weak elastic modulus [cm3] 8641. 8640. (527 in3) 8645.warping constant [×10-3 cm6] 96450. 97200. (362000 in6) 96080.strong plastic modulus [cm3] 27230. 27200. (1660 in3) 27210.weak plastic modulus [cm3] 13370. 13370. (816 in3) 13380.


14/01/09 Page 68

7.3.2 Standard S-ShapeThis run computes the properties of a standard S12×40.8 (metric 310×61) joist.

Steel : w = 7.850E+00

Section : rolled S American 310 x 61

b = 0.1334 e = 0.0167 h = 0.3048 a = 0.0117 r = 0.0140


Sy= 8.692E-04 Sz= 1.451E-04

q = 6.074E-02 Al= 1.059E+00 Ag= 1.743E+01

The computed figures match closely the figures found in the AISC Manual (Ref./1/).

Compared Results SECELEM Ref./1/ Ref./5/area [cm2] 77.38 77.4 (12.0 in2) 77.4torsional inertia [cm4] 72.77 73.3 (1.76 in4) 66.3strong inertia [cm4] 11340. 11320. (272 in4) 11400.weak inertia [cm4] 565.6 566. (13.6 in4) 633.strong elastic modulus [cm3] 743.9 744. (45.4 in3) 747.weak elastic modulus [cm3] 84.80 84.6 (5.16 in3) 95.2warping constant [×10-3 cm6] 115.6 n/a 133.strong plastic modulus [cm3] 869.2 870. (53.1 in3) 871.weak plastic modulus [cm3] 145.1 145. (8.85 in3) 155.

On the other hand Ref./5/ appears to overpredict the flexural properties with respect to the weak axis by as muchas 12%, but also underpredicts the torsional inertia.


14/01/09 Page 69

7.4 Japanese SectionsThis run computes the properties of a Japanese WJL 300 × 93 column.

Steel : w = 7.850E+00

Section : rolled WJL Japanese 300 x 93

b = 0.3000 e = 0.0150 h = 0.3000 a = 0.0100 r = 0.0130


Sy= 1.484E-03 Sz= 6.829E-04

q = 9.298E-02 Al= 1.758E+00 Ag= 1.890E+01

Compared Results SECELEM Ref./26/area [cm2] 118.5 118.4strong inertia [cm4] 20190. 20200.weak inertia [cm4] 6753. 6750.strong elastic modulus [cm3] 1346. 1350.weak elastic modulus [cm3] 450.2 450.


14/01/09 Page 70

7.5 Australian SectionsThis run computes the properties of a standard TFB310×61 tapered flange beam.

Steel : w = 7.850E+00

Section : rolled TFB Aus/NZ 125

b = 0.0650 e = 0.0085 h = 0.1250 a = 0.0050 r = 0.0080


ss= 0.0335 Sy= 8.029E-05 Sz= 1.721E-05

q = 1.314E-02 Al= 4.696E-01 Ag= 3.572E+01

The computed figures match closely the figures found in the ONESTEEL Catalog (Ref./29/).

Compared Results SECELEM Ref./29/area [cm2] 16.75 16.70torsional inertia [cm4] 4.049 4.02strong inertia [cm4] 434.0 434.weak inertia [cm4] 33.67 33.7strong elastic modulus [cm3] 69.44 69.4weak elastic modulus [cm3] 10.36 10.4warping constant [×10-3 cm6] 1.129 1.14strong plastic modulus [cm3] 80.29 80.3weak plastic modulus [cm3] 17.21 17.2


14/01/09 Page 71

7.6 Indian SectionsThis run computes the properties of a Indian ISWB 300 × 48 beam.

Steel : w = 7.850E+00

Section : rolled ISWB Indian 300 x 48

b = 0.2000 e = 0.0100 h = 0.3000 a = 0.0074 r = 0.0080


Sy= 7.326E-04 Sz= 2.041E-04

q = 4.810E-02 Al= 1.371E+00 Ag= 2.851E+01

Compared Results SECELEM Ref./26/area [cm2] 61.27 61.33strong elastic modulus [cm3] 658.1 654.8strong plastic modulus [cm3] 732.6 731.2


14/01/09 Page 72

7.7 Russian SectionsThis run computes the properties of a Russian 50? 3 wide-flange beam.

Steel : w = 7.850E+00

Section : rolled GSTW Russian 500 x 156

b = 0.3000 e = 0.0205 h = 0.4950 a = 0.0155 r = 0.0260


Sy= 3.845E-03 Sz= 9.576E-04

q = 1.564E-01 Al= 2.114E+00 Ag= 1.352E+01

The computed figures match closely the figures found in the GOST Specification (Ref./ 20/).

Compared Results SECELEM Ref./20/area [cm2] 199.2 199.20strong inertia [cm4] 84200. 84200.weak inertia [cm4] 9251. 9250.strong elastic modulus [cm3] 3402. 3402.weak elastic modulus [cm3] 616.7 617.strong plastic modulus [cm3] 3845. 3846. (2×1923)


14/01/09 Page 73

7.8 Airplane Spare of SpruceThis run computes the torsional inertia of an airplane wing spare of spruce investigated as Example 2, Chap. 9,Art. 9.2 of Ref./33/. Dimensions in inches are rounded –off in the metric system to the nearest tenth of amillimeter.

Steel : w = 7.850E+00

Section : welded girder

b = 0.0699 e = 0.0265 h = 0.1140 a = 0.0129 r = 0.0222

Figure 7-2 - Spare of Spruce [from Ref./33/]


ss= 0.0919 Sy= 1.849E-04 Sz= 7.210E-05

q = 3.858E-02 Al= 4.437E-01 Ag= 1.150E+01

The computed figure match closely the inertia indicated in Ref./33/.

Compared Results SECELEM Ref./33/torsional inertia [cm4] 117.2 118.6 (2.85 in4)


14/01/09 Page 74

7.9 Boxed SectionThe example addresses the boxed section formed by two HE300A welded side by side.

Steel : w = 7.850E+00

Section : welded box

b = 0.6000 e = 0.0140 h = 0.2900 a = 0.0000 r = 0.0000 d = 0.3000 s = 0.0085 r = 0.0270

Ax= 2.251E-02 Wy= 2.519E-03 Wz= 2.109E-03 Jx= 2.544E-04 Iy= 3.653E-04 Iz= 6.326E-04 ry= 0.1274 rz= 0.1677 Cw= 2.606E-06

Figure 7-3 – Cutting of Steel During Fabrication of “Goldeneye” Topside[courtesy SHELL EXPRO UK]

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