-
ArcelorMittal International
Structural ShapesSales Program and Product Information
Photo: Pierre-Franois Grosjean, 2005
-
Structural Shapes
-
Structural Shapes Page 1
Table of Contents
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . .
. . .2Production Process . . . . . . . . . . . . . . . . . . . . .
.3A913 Specifications . . . . . . . . . . . . . . . . . . . .
.4HISTAR In the Codes . . . . . . . . . . . . . . . . . . . . . . .
.5 Properties 6 Seismic Design . . . . . . . . . . . . . . . . . .
. . . .7 When to Use . . . . . . . . . . . . . . . . . . . . . . .
.8 Design & Cost . . . . . . . . . . . . . . . . . . . . . . .9
Applications . . . . . . . . . . . . . . . . . . . . . . . 10FAQs .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
11ArcelorMittals U.S. Beam Stock . . . . . . . . . 13Technical
Assistance . . . . . . . . . . . . . . . . . . . 13List of
Available Sections . . . . . . . . . . . . . . . 14References in
HISTAR . . . . . . . . . . . . . . . . . . 15Section Properties . .
. . . . . . . . . . . . . . . . . . . 16A913 Grade 65 Column Design
Tables . . . 35
Engineering SupportBernard CvijanovicTechnical Sales ManagerPh .
312 899 3960bernard .cvijanovic@arcelormittal .com
ChicagoMuktesh MukherjeeDirector Long ProductsPh . 312 899
3940muktesh .mukherjee@arcelormittal .com
Vincent MondelliSales Manager Long ProductsPh . 312 899
3961vincent .mondelli@arcelormittal .com
Anthony BryantProduct Manager Special sections & ASP
inventoryPh . 312 899 3695anthony .bryant@arcelormittal .com
West Coast/Pleasant Hill2800 Pleasant Hill Road, Suite
250Pleasant Hill, CA 94523
Andy RyncarzRegional Sales managerPh . 925 930 6400Fax . 925 930
6436andy .ryncarz@arcelormittal .com
Canada/Hamilton1330 Burlington Street EastBox 2460,
HamiltonOntario, Canada L8N 3J5
Angelo CurcuruSales Manager Long productsPh . 905 545 3777Direct
. 905 548 4383Fax . 905 545 7939angelo .curcuru@arcelormittal
.com
Mexico/QueretaroPrivada de los Industriales No . 110-A,Desp .
801-802, Col . Industrial Benito Juarez76100 Queretaro, Qro
.Mexico
Jose BustosSales Manager Long ProductsPh . (52) 442 218 2887Fax
. (52) 442 218 1400jose .bustos@arcelormittal .com
-
Structural Shapes Page 2
#1 Producer of Structural Shapes
ArcelorMittal (cre-ated through the merger of Arcelor and Mittal
Steel) is the worlds larg-est producer of structural shapes and the
largest U .S . importer of wide flange beams having served this
market for over 75
years . Our total steel production of 110 mil-lion metric tons
(2006) represents 10% of the total market and ranks first in the
world . ArcelorMittal currently employs 330,000 people in four
continents including 15,000 in the U .S . and Canada - has a total
revenue of 110 billion USD (2007) and operates in over 65 countries
. ArcelorMittal is the worlds leading manufacturer of steel shapes
with an annual production of over five million metric tons and the
European leaderin structural and piling sections . In additionwe
are a major supplier of heavy shapesand other structurals to the
United States .
Our mill in Differdange, Luxembourg rolled the first parallel
wide flange shape in the world in 1902 as well as the first 40 inch
deep beam in 1911 . In 1979 we introduced Tailor-Made beams (WTM)
to the U .S . which were praised by both structural engineers and
fabricators as a cost-effective alterna-tive to built-up sections
and concrete . Today ArcelorMittal offers the largest range of
shapes in the world including 14" columns weighing up to 730 lbs/ft
(Jumbos) and 44" deep beams . In 1990 we introduced a new prod-uct
called HISTAR in grades 50 and 65 . HISTAR is produced by a
Quenching and Self-Tempering (QST) process and conforms
to the ASTM A913 standard . Our HISTAR steel offers superior
beam characteristics including a very high yield strength,
excel-lent toughness and outstanding weldability, in most cases
without preheating . HISTAR Grade 50 and Grade 65 steels are
approved by all the major U .S . structural design and fabrication
codes: AISC (ASD, LRFD, and Seismic), UBC, IBC, AWS and FEMA/SAC .
There is no price premium on HISTAR A913 Grades 50 or 65 over our
A992 or A572/50 . HISTAR A913 steel has many cost effective uses
and is perfect for gravity columns, long span trusses, strong
column / weak beam seismic designs and short or medium spans where
deflection is not a concern . You can find an extensive list of
prominent projects that have specified HISTAR A913 on page 15 of
this program .
AOB in Esch-sur-Alzette, Luxembourg
Available in HISTAR A913Grade 50 and Grade 65 W14 x 90 398 W14 x
426 730 (Jumbos) W36 x 439 652 W40 x 431 503 W44 x 230 335
W10 x 49 112 W12 x 65 230 W24 x 84 370 W27 x 102 129 W30 x 108
148 W33 x 130 169 W36 x 150 395 W40 x 167 397
-
Structural Shapes Page 3
Production Process of ShapesISO 9001 Certified Quality
As the worlds leading manufacturer of steel beams, ArcelorMittal
offers engineers and fabricators innovative, competitive and
sustainable solutions that are fully com-patible with the use of
other materials . Our electrical steelworks comply with the
strict-est environmental criteria and our products meet all of the
construction sectors techno-logical requirements . ArcelorMittal
structural shapes are pro-
duced in modern minimills using scrap as raw material . The
below schematic shows the production process which consists of
three main operations: melting, casting and rolling . First, 100%
recycled scrap is melted in highly efficient and environmentally
friendly elec-tric arc furnaces . The steel is then refined in a
ladle furnace and its temperature and chem-istry regulated before
the casting process . In a continuous casting machine, the steel
is
solidified to a semi-finished product called a beam blank .
After casting, the beam blanks are directly reheated to rolling
temperature or stocked for later rolling . The rolling mills
typically have one break-down and two to three universal rolling
stands to shape the product to its final dimensions . Finally, the
profiles are cooled, cut to length, inspected, marked and bundled
before shipment to our customers .
-
Structural Shapes Page 4
ASTM A913/A913M-04Grade 50 and Grade 65Standard
Specification
1.1. This specification covers high-strength low-alloy
structural steel shapes in Grade 50 and Grade 65, produced by the
quenching and self-tempering process (QST) . The shapes are
intended for riveted, bolted or welded construction of bridges,
buildings and other structures .
HISTAR grades meet the specifications of ASTM A913
6.2 Charpy V-notch tests shall be made in accordance with
Specification A673/A673M, Frequency H:
6.2.1 The test results of full-size specimens shall meet an
average value of 40 ft-lbf at 70F .
Designers can also request the Charpy V-Notch (CVN) results
below, often referred to as Supplement 2
A6/A6M 05S30.1 For shapes with a flange thickness equal to or
greater than 1 in . that are specified in the purchase order to be
tested in ac-cordance with this supplementary requirement, Charpy
V-notch impact tests shall be conducted in accordance with
Specification A673/A673M, using specimens taken from the alternate
core loca-tion . Unless otherwise specified in the purchase order,
the minimum average absorbed energy for each test shall be 20
ft-lbf and the test temperature shall be 70F .
SUPPLEMENTARY REQUIREMENTSThe following special supplementary
requirements should be considered for seismic applications.
S75. Maximum Yield Point to Tensile Strength Ratio Grade 50
.S75.1 The maximum yield point shall be 65 ksi .S75.2 The maximum
yield to tensile ratio shall be 0 .85 .
These requirements help the designer control the formation of
the plastic hinge during an earthquake using the strong column -
weak beam concept.
S77. Reduced Sulfer Grade 65 .S77.1 The Grade 65 shall be
furnished with a maximum sulfur of 0 .010% This may be desirable in
material subjected to high through-thickness stresses .
Alternate Core Location
Standard Flange Location of CVN Specimens: 1/6 flange width, 1/4
flange thickness.
Alternate Core Location of CVN Specimens: 1/2 flange width, 1/4
flange thickness.
TABLE 1 Chemical Requirements
Element Maximum content in %
Grade 50 Grade 65
Carbon 0 .12 0 .16Manganese 1 .60 1 .60Phosphorus 0 .040 0
.030Sulfur 0 .030 0 .030Silicon 0 .40 0 .40Copper 0 .45 0 .35Nickel
0 .25 0 .25Chromium 0 .25 0 .25Molybdenum 0 .07 0 .07Columbium 0
.05 0 .05VanadiumGrade 0 .06 0 .06
TABLE 2 Tensile Requirements
Grade Yield Point, min.
Tensile Strength, min.
Elongation, min.
(ksi) (ksi) 8 inch, % 2 inch, %
50 50 65 18 2165 65 80 15 17
-
Structural Shapes Page 5
A913 Grade 50 and Grade 65In the CodesAISC: ASD and LRFDASTM
A913 Grades 50 and 65 are approved structural steels under the AISC
Specifications ASD and LRFD . ASTM A913 is included as a referenced
standard in LRFD dated December 27, 1999 and in the Manual of Steel
Construction Thirteenth Edition . The approval came in a letter
ballot of the Specifications Committee in July 1995 and was
confirmed at its meeting in November 1995 .
AISC Specification for Structural Steel BuildingsDated March 9,
2005, A3 .1 approves hot-rolled structural shapes conforming toASTM
A913/A913M . AISC
Seismic ProvisionsAISC Seismic Provisions dated May 21, 2002
mentions ASTM A913 in Part I Chapter 2 as a referenced standard .
In addition, Part I Section 6 .1 states For buildings over one
story in height, the steel used in Seismic Load Resisting Systems
shall meet one of the following ASTM Specifications: A913/A913M
(Grade 50 or 65) . The specified minimum yield strength of steel to
be used for mem-bers in which inelastic behavior is expected shall
not exceed 50 ksi unless the suitability of the material is
determined by testing or other rational criteria . This limitation
does not apply to columns for which the only expected inelastic
behavior is yielding at the column base .
AWS D1.1 Structural Welding CodeAWS D1 .1 (2004) lists ASTM A913
Grades 50 and 65 as prequali-fied steels . In accordance with Table
3 .2 of the structural welding code AWS D1 .1, ASTM A913 Grades 50
and 65 are weldable with-out preheating (minimum 32F) when welded
with low hydrogen electrodes (H8) .
FEMA 350 and 353FEMA-350 (July 2000) Recommended Seismic Design
Criteria for New Steel Moment-Frame Buildings approves and
recommends the use of ASTM A913 Grades (Chapter 2 .6 .1) . FEMA-353
(July 2000) Recommended Specifications and Quality Assurance
Guidelines for Steel Moment-Frame Construction for Seismic
Applications ap-proves and recommends the use of ASTM A913 Grades
(Chapter 2 .1c)
UBCASTM A913 / Grades 50 and 65 were approved by the ICBO
com-mittee in September 1996 . Section 2213 .4 .1 Quality
Structural steel used in lateral force-resisting systems shall
conform to A913 (Grades 50 and 65) .
IBC 2003By reference to the AISC Specifications the use of ASTM
A913 Grades is approved by the 2000 IBC, Section 2203 .1
-
Structural Shapes Page 6
A913 Grade 50 and Grade 65PropertiesWeldabilityIn accordance
with the AWS D1 .1, all shapes in HISTAR A913 grades are weldable
without preheating (minimum 32F) when welded with low hydrogen
electrodes (H8) . For welding large material thicknesses in highly
restrained conditions, preheating may be necessary . For base metal
temperatures below 32F, AWS D1 .1 requires preheating to 70F . AWS
D1 .1 also specifies that if electrodes have a higher level of
hydrogen than 8ml/100g, ASTM A913 Grades 50 and 65 are to be welded
like ASTM A572 Grades 50 and 65 with preheating .
HISTAR A913 Grade 50 and Grade 65 have a guaranteed maximum
carbon equivalent (CE%) of 0 .38% and 0 .43% . These low maxi-mum
CE% values allow A913 grades to be welded generally without
preheating .
ToughnessThe guaranteed minimum toughness of ASTM A913 Grades 50
and 65 steels is 40 ft-lbf at 70F at the flange location . Upon
agree-ment material can be supplied with Charpy V-Notch tests down
to -58F at supplemental cost .
Typical statistical distribution of Charpy V-Notch values
CVN test at 32F
HISTAR A913 Grade 50
HISTAR A913 Grade 65
(ft-lbf) (ft-lbf)
Average 136 141Standard deviation 24 28Minimum 76 64Maximum 190
266
-
Structural Shapes Page 7
Grade 50 and Grade 65Seismic DesignStrong Column - Weak
BeamConcept for Seismic Resisting Moment Frame StructuresIn 1989
ArcelorMittal was awarded a patent for the dog-bone connection also
know as Reduced Beam Section (RBS) which removes part of the beams
flange material at the connections and is easily performed in the
fabrication shop . This development became more significant after
the 1994 Northridge earthquake exposed several seismic design flaws
. A number of steel moment-frame buildings experience brittle
factures of beam-to-column connections as a result of that
earthquake . Upon study, the SAC Joint Venture under contract by
FEMA developed the strong column weak beam design
concept . Used in tandem with ArcelorMittals 1995 released RBS
connection can facilitate a shift of the plastic deformation from
the column to the beam during an earthquake and prevent the
column-beam-connection from experiencing inelastic deformations .
The method was successfully tested by AISC and was included in the
FEMA 350 and 353 documents . As a result of the construction
industrys shift away from A36 to Grade 50, it is often necessary to
use higher strength steel in the design of columns . Using A913
Grade 65 for column shapes and A913 Grade 50 for
beams (with a maximum yield point of 65 ksi) coupled with RBS
offers the most eco-nomical solution to seismic design available
today .
In addition, using A913 in place of A992: Lowers material weight
and cost Strengthens connection Reduce or eliminate stiffeners in
panel
zone Reduces or eliminates the need for
doubler plates
For information about how to design RBS cut-outs refer to
documents FEMA 350 and 353 or contact AISC:Tel: (312)
670-2400Email: www.aisc.org
RBS after Seismic Test
RBS
-
Structural Shapes Page 8
A913 Grade 50 and Grade 65When to useWhen it is necessary to
preheat the weld areaA major advantage of HISTAR versus A992 or
A572 is that HISTAR generally does not need to be preheated before
welding . Since there is no premium for HISTAR compared to our
regular grades you can achieve significant savings on welding costs
. Even when a project is not suited for Grade 65 material, A913
Grade 50 still has the no preheat welding advantage .
AWS D1.1 (2004) Table 3.2 Minimum Preheat Temperatures
HISTAR
Thickness A913 A992 A572
1/8 - 3/4 32F* 32F 32F3/4 - 1 1/2 32F* 50F 50F1 1/2 - 2 1/2 32F*
150F 150Fover 2 1/2 32F* 225F 225F
* If welded with electrodes capable of depositing weld metal
with a maximum dif-fusible hydrogen content of 8 ml/100g (H8),
otherwise to be preheated like ASTM A572/50 and A992.
Safeco Field, Seattle, WA2800 MT A913 Grade 65
When deflection is not a concernIf the design of an element is
governed by a yield problem, increasing the yield of this element
normally allows the designer to choose a smaller size reducing the
weight . However, if the design is governed by a deflection or a
vibration problem the design depends only on the stiffness or the
inertia
and not on the yield . The weight savings for column
applica-tions have historically been between 15% - 25% . For long
span trusses the savings are usually even higher (30%) . In
addition to steel weight savings, the fabrication, trans-portation,
handling, erection and foundation
costs of the structure are also reduced . Par-ticularly for
heavy shapes the welding time and costs are reduced as thinner
members reduce the weld volume and HISTAR A913 grades generally do
not need to be preheat-ed before welding allowing considerable
savings of time and energy (gas) .
Our A913 Grade 50 and Grade 65 Cost the Same as our A992 and
A572
A913 Gr.65 A913 Gr.50 A992 A572/50
40 ft-lbf CVN min @ 70F Yes Yes No NoWeldable without Preheating
Yes* Yes* No NoMax Sulfur % 0 .03% 0 .03% 0 .045% 0 .050%Max Carbon
% 0 .14% 0 .12% 0 .23% 0 .23%Max CE % 0 .43% 0 .38% 0 .45% / 0 .47%
No MaxMax Yield No Max 65 ksi** 65ksi No MaxMax Yield to Tensile
Ratio No Max 0 .85** 0 .85 No Max
* Per AWS D1.1 a minimum temperature of 32 F and the use of a
low hydrogen electrode (H8) are required. Preheat might be
necessary with higher hydrogen content and with highly restrained
connections.
** S75 available upon request at no additional charge
-
Structural Shapes Page 9
Grades 50 and 65Design and CostColumnsComparison of size, weight
and cost between Grade 50 and Grade 65 based on same design load
requirements .
Savings:Grade 65 allowed for a reduction of two footweights 17%
weight savings 17% cost savings
TrussesComparison of size, weight, weld volume and cost between
Grade 50 and Grade 65 based on same design load requirements .
Savings:Grade 65 allowed for a reduction of three footweights
23% weight savings 23% cost savings 41% savings in weld
material
-
Structural Shapes Page 10
A913 Grade 50 and Grade 65ApplicationsHigh-Rise BuildingsGravity
ColumnsWhen design is not governed by a drift or a vibration
problem, the use of HISTAR A913 Grade 65 in the gravity columns
with normal buckling lengths (typically less than 15 ft) allows the
engineer to reduce the weight and the cost of the structures . The
steel weight of the columns can typically be reduced by 10% - 25% .
Recent projects where Grade 65 was used for gravity columns include
the Ernst & Young building in Times Square, Manhattan and the
Hearst Tower also in Manhattan .
Seismic Design / Moment Frames / Strong Column - Weak BeamAs
mentioned previously, the use of HISTAR A913 Grades 50 and 65
allows the engineer to design a moment frame structure with the
economical strong column weak beam concept commonly used on the
West Coast . HISTAR A913 Grade 65 is the only steel grade with a
yield point above 50 ksi that is included in the Uniform Build-ing
Code (UBC), AISC Seismic Provisions and FEMA 350 and 353
Recommended Specifications, for use in the columns of moment frames
structures in seismic zones .
BridgesMain GirdersWhen the design of a bridge is not governed
by a deflection problem, usually the case for light loads and/or
for short spans, the use of Grade 65 allows the engineers to reduce
the weight and the cost of the bridge . In addition, the use of
HISTAR A913 Grades 50 and 65 allows the fabricator to weld the
steel without preheating (minimum 32F with low-hydrogen electrodes)
.
Long Span TrussesThe best use of HISTAR A913 Grade 65 is in
tension members such as the typical bottom chord of a truss or in
compression members with short buckling lengths . The use of Grade
65 in trusses gener-ally allows a reduction in weight of 25%
compared to Grade 50 . This reduction in weight is a function of
the trusses span and the im-portance of the dead loads on the
design . The weight saving for the Boeing Assembly Hall was 28%
when compared to Grade 50 due to the long span (354 ft) of the
truss . A913 Grade 65 has been used in several high profile stadium
projects with retractable roof structures supported by long span
trusses .
3000 MT A913 Grade 65
-
Structural Shapes Page 11
What is the availability of A913?Although ASTM A913 covers
Grades 50, 60, 65 and 70, only Grades 50 and 65 are available .
Delivery time is about 6-8 weeks after rolling . We also stock a
limited supply of A913 Grade 65 in W14 x 90 730 and heavy W36, W40
and W44 sections . For availability, contact ArcelorMittals Chicago
office
Are all shapes sizes available in A913?The following sizes are
readily available in HISTAR A913 Grade 50 or Grade 65:W14 x 90
730W36 x 439 527W40 x 431 503W44 x 230 335
W10 x 49 112W12 x 65 230W24 x 84 370W27 x 102 129W30 x 108
148W33 x 130 169W36 x 150 393W40 x 167 397
Is there a premium for A913?There is no premium . Our A913 Grade
50 and A913 Grade 65 cost the same as our A992 and A572 Grade 50
.
What lengths are available?Lengths of 30 to 60 feet are standard
. Other lengths may be available subject to agree-ment .
Are heavy plates available in A913?No . However, heavy plates in
Grades 50, 65 and higher are available in other material
specifications .
What are the design rules for col-umns, beams and connections in
A913 Grade 50 and Grade 65?ASTM A913 is a referenced standard
speci-fication in AISC, UBC, IBC and FEMA . For A913 Grade 50 the
design formulas are the same as for any structural Grade 50 steel .
Column design tables for Grade 65 can be found in this brochure
.
Why is toughness of A913 superior to hot-rolled steel?The
in-line thermal process QST results in a very fine grain material,
showing a superior toughness versus conventional hot-rolled steel
.
Which Charpy V-Notch toughness requirements can be met?A minimum
average CVN value of 40 ft-lbf at 70F in the flange position (A673)
is a general requirement of ASTM A913 . Upon request a minimum
average CVN value of 20 ft-lbf at 70F in the alternate core
loca-tion (S30 per ASTM A6) is also available . In addition A913
can be supplied with CVN values down to -58F for low temperature
applications .
What is the ductility of A913 Grade 65?A913 Grade 65 is very
ductile steel, despite its distinctively higher yield strength
com-pared to typical 50 ksi steel . The minimum elongation
percentage for A913 Grade 65 is 18% for an 8-inch specimen and 21%
for a 2-inch specimen .
For A913 Grade 50, what is the maximum YS and YS/TS ratio?For
seismic applications, A913 Grade 50 is available with maximum yield
strength (YS) of 65 ksi and maximum yield strength to tensile
strength ratio (YS/TS) of 0 .85 . These additional requirements are
available upon request at no additional cost (A913 S75) .
What is the seismic resistance of A913?Full-scale tests of A913
shapes exhibited better seismic resistance than required by the
codes . A913 is a referenced standard in AISC Seismic codes and is
recommended in the FEMA 350 and 353 Seismic Specifica-tions . It is
ideally suited for seismic applica-tions .
What is the fatigue behavior of A913?Full-scale tests of A913
shapes showed a fatigue behavior exceeding the requirements of the
codes for conventional steels . Hence, A913 is also particularly
suited for bridge applications .
A913 Grade 50 and Grade 65Frequently Asked Questions (FAQs)
-
Structural Shapes Page 12
What is the fire resistance of A913?Tests have demonstrated that
the fire resistance of A913 is the same as that of conventional
hot-rolled structural grades .
What about residual stresses in A913?A913 has lower residual
stresses relative to its yield strength than A36 .
What is the corrosion resistance of A913?The corrosion
resistance of A913 shapes is the same as that of conventional
hot-rolled structural grades .
Which specification should be used when welding A913?A913 offers
a very good weldability for manual and automatic processes provided
the general rules for welding (Structural Welding Code AWS D1 .1)
are followed . Table 3 .2 of AWS D1 .1 indicates that A913 is
weldable without preheating when the prod-uct temperature is above
32F and when using a low-hydrogen electrode (H8) . This advantage
is due to its low Carbon Equiva-lent (CE%) values compared to
conventional hot-rolled structural steel . As with other steel
grades, highly restrained conditions and large material thickness
may require some preheating . In most cases highly restrained
conditions can be avoided by choosing ade-quate weld sequencing .
Selection of strength level of consumables is shown in AWS D1 .1
Table 2 .3 . Prequalified combinations of base metal and filler
metal for matching strength are listed in AWS D1 .1 Table 3 .1
.
Can A913 be used in combination with other grades?Yes . When
welding A913 to A992 or A36, preheating is typically needed for the
A992 or A36 material but not for the A913 mate-rial . Preheating
the A913 will not do any harm .
Can A913 be galvanized?Yes . A913 is typically delivered with a
Silicon content ranging between 0 .15% and 0 .25%, and as such is
suitable to be galvanized .
What about flame cutting shapes in A913?A913 can be cut with a
torch using the same procedures applied to any structural steel .
Due to the low carbon equivalent of A913, preheating in order to
prevent cracking is generally not necessary for product
tem-peratures above 32F .
What about flame straightening shapes in A913?As with any
structural steel it is possible to eliminate deformations or to
give a mem-ber a special shape by flame straightening . For local
reheating of the entire material thickness the maximum flame
straightening temperature is 1290F . For local superficial
reheating of the surface only, the maximum flame straightening
temperature is 1650F .
What about machining shapes in A913?A913 can be machined under
the same conditions as grades with the same level of yield strength
. Drilling and cutting tests on A913 Grade 65 showed no difference
in tool wear than for other structural grades of the same strength
level . In fact using higher strength steel allows the designer to
reduce the size (thickness) of the material and thus to reduce the
machining time .
What about stress relieving of shapes in A913?Stress relieving
post weld heat treatment (PWHT) may be necessary when the layout of
the structure and/or the expected stress condition after welding
requires a reduction of the residual stresses . If stress relieving
is required, it should be performed in the same manner as for any
structural steel grade . The temperature should range between 980F
and 1080F . The resting time should be two minutes per mm (1/25) of
material thick-ness, but not less than 30 minutes and not more than
150 minutes .
Which Sections can be delivered ac-cording to A6 S30 (Supplement
2)?The following profiles can achieve S30 (Supp 2) values of 20
ft-lbf at 70F in the alter-nate core location:W12 x 170 230W14 x
211 730W24 x 229 370W36 x 280 527W40 x 277 503W44 x 290 335
A913 Grade 50 and Grade 65Frequently Asked Questions (FAQs)
continued
-
Structural Shapes Page 13
ArcelorMittals U.S. Beam Stock
For those fast-track projects that just cant wait for a mill
rolling, we keep a large inven-tory in stock at our facility in
Arkansas . Items from this stock can often be made avail-able for
pick-up within 24 hours . Standard lengths vary between 30-60 feet
.
For price and availability, contact:
Stock Available in Grade 50:W14 from 455 to 730 lbs/ftW36 from
439 to 650 lbs/ftW40 from 431 to 593 lbs/ftW44 x 230, 290 and 593
lbs/ft
Stock Available in A913 Grade 65:W 14 x 90 to 730 lbs/ft and
selected W36, W40 and W44 .
Western Railways bridge in Glasgow, MO after the flood of 1993.
(11-16-93)
Guggenheim Museum in Bilbao, Spain.
60 days after flood, thanks to 140 mt of W44 x 335 from Arcelors
stock. (01-14-94)
If you have any technical questions about rolled shapes, their
struc-tural design, fabrication, processing, welding or for any
documenta-tion or if you are interested in scheduling a meeting or
presentation at your office, please contact Bernard Cvijanovic
(312) 899-3960 .
Technical AssistanceTechnical Brochures: Sales Program Beams,
Channels and Merchant Bars by Arcelor-
Mittal Commercial Sections High-Rise Buildings, Parking
Structures, Short-Span Compos-
ite Bridges, Filler Beam Railway Bridges Steel-Concrete
Composite Construction using Rolled Shapes Welding Guidelines for
HISTAR A913 Grade 65, Code Approvals of
ASTM A913 / HISTAR Weldability Evaluations of HISTAR a) A913 Gr
.65 Jumbo shapes,
b) HISTAR 355 and 460 TZK Offshore
Software:Visit www .arcelormittal .com/sections for a free
download of the following programs: Sales Program Sectional
Properties (PDF, Excel, AutoCAD) ACB: ArcelorMittal Cellular Beams,
CCD: Composite Column
Design according to EuroCode 4, IFBWIN: Integrated Floor Beams,
AFCC: Composite Column Fire Design according to EC 4, AFCB:
Composite Beam Fire Design according to EC 4, PORTAL: Pre-design of
Single Span Portal Frames according to EC 3, TRUSSES: Pre-design of
Large Span Trusses according to EC 3
PSL: Pre-design Software Library, Steel Elements (Beams &
Col-umns), Composite Elements
MUST: Pre-design of multi-storey structure
U.S./ChicagoMuktesh MukherjeeDirector Long ProductsPh . 312 899
3940muktesh .mukherjee@arcelormittal .com
Vincent MondelliSales Manager Long ProductsPh . 312 899
3961vincent .mondelli@arcelormittal .com
Anthony BryantProduct Manager Special sections & ASP
inventoryPh . 312 899 3695anthony .bryant@arcelormittal .com
Bernard CvijanovicTechnical Sales ManagerPh . 312 899
3960bernard .cvijanovic@arcelormittal .com
West Coast/Pleasant HillAndy RyncarzRegional Sales managerPh .
925 930 6400Fax . 925 930 6436andy .ryncarz@arcelormittal .com
Canada/HamiltonAngelo CurcuruSales Manager Long productsPh . 905
545 3777Direct . 905 548 4383Fax . 905 545 7939angelo
.curcuru@arcelormittal .com
Mexico/QueretaroJose BustosSales Manager Long ProductsPh . (52)
442 218 2887Fax . (52) 442 218 1400jose .bustos@arcelormittal
.com
-
Structural Shapes Page 14 Subject to change without notice.
Spain 4 x 4 13Spain 5 x 5 16 19Spain 6 x 4 9 12 16Poland Spain
Luxembourg 6 x 6 15 20 25Spain Luxembourg 8 x 4 10 13 15Poland
Spain Luxembourg 8 x 5 1/4 18 21Spain Luxembourg 8 x 6 1/2 24
28Poland Spain Luxembourg 8 x 8 31 35 40 48 58 67Poland Spain
Luxembourg 10 x 4 12 15 17 19Poland Spain 10 x 5 3/4 22 26 30Spain
10 x 8 33 39 45Luxembourg Spain 10 x 10 49 54 60 68 77 88 100 112
(Spain to 100)Spain 12 x 4 14 16 19 22Spain 12 x 6 1/2 26 30
35Spain 12 x 8 40 45 50Spain 12 x 10 53 58Luxembourg Spain 12 x 12
65 72 79 87 96 106 120 136 152 170 190 210 230 (Spain to 96)Poland
Spain 14 x 5 22 26Spain 14 x 6 3/4 30 34 38Spain 14 x 8 43 48
53Spain 14 x 10 61 68 74 82Luxembourg 14 x 14 1/2 90* 99* 109* 120*
132*Luxembourg 14 x 16 145* 159* 176* 193* 211* 233* 257* 283* 311*
342* 370* 398*Luxembourg 14 x 16 426 455 500 550 605 665 730Poland
Spain 16 x 5 1/2 26 31Spain Luxembourg 16 x 7 36 40 45 50 57Spain
16 x 10 1/4 67 77 89 100Poland Spain Luxembourg 18 x 6 35 40
46Spain Luxembourg 18 x 7 1/2 50 55 60 65 71Luxembourg Spain 18 x
11 76 86 97 106 119 130 143 158 175Poland Spain 21 x 6 1/2 44 50
57Luxembourg Spain 21 x 8 1/4 62 68 73 83 93Spain 24 x 7 55
62Luxembourg Spain 24 x 9 68 76 84 94 103Luxembourg 24 x 12 3/4 104
117 131 146 162 176+ 192+ 229+ 279+ 306+ 335+ 370+Luxembourg 27 x
10 84 94 102 114 129+Luxembourg 30 x 10 1/2 99 108 116 124 132
148+Luxembourg 33 x 11 1/2 118 130 141 152 169+Luxembourg 36 x 12
135+ 150 160 170 182 194 210Luxembourg Old Sections 36 x 16 1/2
230+ 245 260 280 300 328+ 359+ 393+ 439+ 527+ 650+Luxembourg New
Sections 36 x 16 1/2 231 247 262 282 302 330+ 361+ 395+ 441+ 487+
529+ 652+Luxembourg 40 x 12 149+ 167+ 183+ 211+ 235+ 264+ 278+ 294+
331+ 392+Luxembourg 40 x 16 199+ 215+ 249+ 277+ 297+ 324+ 362+ 397+
431+ 503+ 593+Luxembourg 44 x 16 230+ 262+ 290+ 335+
WF BeamsCountry of Origin Section Footweights
* Strictly stocked in quality A913 Grade 65 .
+ Requires 50 MT min . per footweight and grade . Please inquire
.
Sections in bold are available in HISTAR A913 Grades 50 and 65
.
Underlined sizes are also available in a limited supply from our
Arkansas stock .
Spain 3 5 .7 7 .5Spain 4 7 .7 9 .5Spain 5 10Spain 6 12 .5 17
.25Spain 8 18 .4 23Spain 10 25 .4 35Spain 12 31 .8 35Spain 12 40 .8
50Spain 15 42 .9 50Spain 18 54 .7 70Spain 20 66 75Spain 20 86
96Spain 24 80 90 100Spain 24 106 121
MillS Beams
Section FootweightsSpain 6 12 15 .1 15 .3 16 .3 18Spain 7 19 .1
22 .7Spain 8 8 .5 18 .7 20Spain 8 21 .4 22 .8Spain 9 23 .9 25
.4Spain 10 8 .4 22 25Spain 10 28 .5 33 .6 41 .1Spain 12 10 .6 31 35
40 45 50Spain 13 31 .8 35 40 50Spain 18 42 .7 45 .8 51 .9 58
MillMC Channels
Section Footweights
POL 2 x 2 1/8 3/16 1/4 5/16 3/8POL/Spain 3 1/2 x 3 1/2 1/4 5/16
3/8 7/16 1/2POL/Spain 3 x 3 3/16 1/4 5/16 3/8 7/16 1/2POL/Spain 4 x
4 1/4 5/16 3/8 7/16 1/2 5/8 3/4Spain 5 x 5 5/16 3/8 7/16 1/2 5/8
3/4 7/8Spain 6 x 6 5/16 3/8 7/16 1/2 9/16 3/4 7/8 1LUX 8 x 8 1/2
9/16 5/8 3/4 7/8 1 1 1/8
MillAngles
Section Footweights
Spain 3 4 .1 5 6Spain 4 5 .4 7 .2Spain 5 6 .7 9Spain 6 8 .2 10
.5 13Spain 7 9 .8 12 .2 14 .7Poland 8 11 .5 13 .7 18 .5Spain 9 13
.4 15 20Poland 10 15 .3 20 25 30Poland/LUX 12 20 .7 25 30LUX 15 33
.9 40 50
MillChannels
Section Footweights
-
Structural Shapes Page 15
A913 Project LocationFREEDOM TOWER NEW YORK, NYBOEING 777
ASSEMBLY BUILDING EVERETT, WAONE LONDON PLACE LONDON, ONTARIO
CANADABAY ADELAIDE CENTER CANADAAT&T BUILDING CANADAROSE GARDEN
ARENA (TRAILBLAZERS) PORTLAND, ORGM PLACE (GRIZZLIES & CANUCKS)
VANCOUVER, CANADABALTIMORE CONVENTION CENTER BALTIMORE, MDNEW YORK
HOSPITAL NEW YORK, NYTORONTO CONVENTION CENTER TORONTO, ONTARIO
CANADALAS VEGAS CLUB TOWER LAS VEGAS, NVCOREL CENTRE (PALLADIUM
ARENA) OTTAWA, ONTARIO CANADAAIOC BUILDING MONTREAL, QUEBEC
CANADAMAYAGUEZ SHOPPING CENTER SAN JUAN, PRTRICO STEEL MILL
DECATUR, ALBANK ONE STADIUM PHOENIX, AZPOTLACH NEW ORLEANS,
LAKREMCO - OFFSHORE PLATFORMS CLEARFIELD, UTST . FRANCIS HOSPITAL
LYNWOOD, CASAN AIRPORT PEDESTRIAN BRIDGE SAN DIEGO, CACHIRON LIFE
SCIENCES BUILDING EMERYVILLE, CAADOBE SYSTEMS HQ - PHASE II SAN
JOSE, CABARUCH COLLEGE NEW YORK, NYGLIDER OFFSHORE GULF OF
MEXICOCOND NAST - 4 TIMES SQUARE NEW YORK, NYBOSTON GARDENS BOSTON,
MABROOKLYN RENAISSANCE NEW YORK, NYGLENDALE PLAZA GLENDALE, CAMGM
CASINO HOTEL LAS VEGAS, NVMILLER PARK MILWAUKEE, WINEW PACIFIC NW
BASEBALL PARK SEATTLE, WATRANS WORLD DOME ST . LOUIS, MOURSA
OFFSHORE GULF OF MEXICOAIR CANADA CENTRE TORONTO, ONTARIO
CANADAKAISER HOSPITAL SANTA CLARA, CABROWARD COUNTY CIVIC ARENA
MIAMI, FLPROVIDENCE MALL PROVIDENCE, RIPOMONA SCIENCE BUILDING
POMONA, CABUENA VENTURA MALL VENTURA, CALDS ASSEMBLY BUILDING SALT
LAKE CITY, UTHARVARD UNIVERSITY BOSTON, MABECHTEL BUILDING - 199
FREMONT ST SAN FRANCISCO, CABOSTON ARTERY BOSTON, MANETHERCUTT CAR
MUSEUM LOS ANGELES, CAMAYO CLINIC ROCHESTER, MNWATER TOWER SANTA
MONICA, CAWALKER HALL, U OF CALIFORNIA DAVIS, CAAURORA ARENA GRAND
FORKS, NDNATIONWIDE ARENA ST . PAUL, MNST . JAMES PROJECT BOSTON,
MANYU - PALLADIUM NEW YORK, NY111 HUNTINGTON BOSTON, MAWEST ANGELES
CATHEDRAL LOS ANGELES, CASHERATON GRAND BALLROOM SACRAMENTO, CA
RALEIGHMORGAN STANLEY DEAN WITTER NEW YORK, NY850 CHERRY AVENUE SAN
BRUNO, CAERNST & YOUNG - 5 TIMES SQUARE NEW YORK, NYST . JOHNS
HOSPITAL SANTA MONICA, CAMOSCONE CENTER SAN FRANCISCO, CA
A913 Project LocationAUSTIN CONVENTION CENTER AUSTIN, TXRELIANT
STADIUM HOUSTON, TXMARINERS STADIUM PRACTICE FIELD SEATTLE,
WAMINNEAPOLIS CONVENTION CENTER EXP . MINNEAPOLIS, MNCIVIC CENTER
PLAZA WALNUT CREEK, CA300 MADISON AVE NEW YORK, NY33 ARCH ST
BOSTON, MAPHELPS DODGE TOWER PHOENIX, CAWASHINGTON CONVENTION
CENTER WASHINGTON, DCARIZONA CARDINALS NFL STADIUM PHOENIX,
CARANDOM HOUSE NEW YORK, NYLIVERMORE CIVIC CENTER LIBRARY
LIVERMORE, CACALTRANS DISTRICT 7 HQ LOS ANGELES, CAPRESBYTARIAN
HOSPITAL FOUNDATION TOWER WHITTIER, CATOWER AT CCCC FRESNO,
CACOLORADO CONVENTION CENTER EXP . DENVER, COMANULIFE FINANCIAL US
HQ BOSTON, MASLOAN-KETTERING HOSPITAL NEW YORK, NYCORONA CITY HALL
CORONA, CAJEWISH HOSPITAL (SMARTBEAM) LOUISVILLE, KYINTERMOUNTAIN
MEDICAL CENTER (IMC) SALT LAKE CITY, UTPRESSAGE FACTORY EDMONTON,
ALBERTA CANADANORTHWEST AIRLINE HANGAR DETROIT, MIVISA BUILDING SAN
MATEO, CADEVOS PLACE CONVENTION CENTER GRAND RAPIDS, MIVIRGINIA
BEACH CONVENTION CENTER RICHMOND, VICHILLIWACK ARENA CHILLIWACK,
BRITISH COLUMBIA CANADAGUTHRIE THEATRE MINNEAPOLIS, MNSAVE-ON-FOODS
MEMORIAL CENTRE VICTORIA, BRITISH COLUMBIA CANADAHEARST TOWER NEW
YORK, NYUCLA, CNSI COURT OF SCIENCES BUILDING LOS ANGELES,
CABROADWAY 655 SAN DIEGO, CAMIAMI PERFOMING ARTS CENTER MIAMI,
FLCIRA CENTER PHILADELPHIA, PA111 SOUTH WACKER CHICAGO, IL1220
FOUNDATION TOWER HOSPITAL LOS ANGELES, CADENVER ART MUSEUM DENVER,
COCHARLOTTE ARENA CHARLOTTE, NCMCCORMICK PLACE EXP . CHICAGO,
ILWASHINGTON MUTUAL HQ - SEATTLE ART MUSEUM SEATTLE, WAWESTIN HQ
HOTEL AT THE BCEC BOSTON, MARED ROCK CASINO LAS VEGAS, NVPALAZZO
CASINO, VENETIAN EXP . LAS VEGAS, NVONE SOUTH DEARBORN CHICAGO,
ILCALTRANS BUILDING SAN DIEGO, CA2000 AVENUE OF THE STARS LOS
ANGELES, CARIVER AIR NEW YORK, NYUS CENSUS BUILDING BIRMINGHAM,
ALPRENTICE HOSPITAL CHICAGO, ILHARTFORD 21 / TOWN SQUARE HARTFORD,
CTSOUTH PLACER JUSTICE CENTER PLACER COUNTY, CAPROVIDENCE NORTH
PAVILLION HOSPITAL PORTLAND, ORCONVENTION CENTER RALEIGH, NCEL
CAMINO HOSPITAL MOUNTAIN VIEW, CAPHOENIX CONVENTION CENTER PHOENIX,
AZMOMO CHICAGO, ILTEXAS STATION TRUSS RENO, NV
A913 HISTAR References
-
Structural Shapes Page 16
Tailor-Made Beams (WTM)
Structural Shapes Sales Program
The information presented in these tables is based on accepted
engineering practices. The data con-tained herein should not be
used for any specify application without competent professional
ex-amination and verification. Anyone making use of this
information assumes all liability arising from use. We cannot
accept any liability in respect of eventually contained false
information. Subject to change without notice.
Based on specific standardized wide-flange beams, we can offer a
whole range of derived sections: tailor-made beams .
The engineer or fabricator can specify the steel section
required and have it rolled to measure .
With our universal rolling technique, manufac-turing is both
efficient and economic .
Minimum order quantity, dimensions, and tolerances are upon
agreement . Please inquire .
A Cross-sectional (in .)Af Area of compression flange (in .)Ix
Moment of inertia of a section about the X X axis (in .4)Sx Elastic
section modulus about the X X axis (in .)Rx Radius of gyration with
respect to the X X axis (in .)Zx Plastic section modulus with
respect to the X X axis (in .)Iy Moment of inertia of a section
about the Y Y axis (in .4)Sy Elastic section modulus about the Y Y
axis (in .)ry Radius of gyration with respect to the Y Y axis (in
.)Zy Plastic section modulus with respect to the Y Y axis (in .)J
Torsional constant (in .4)rT Radius of gyration of a section
comprising the compression flange plus 1/3of the compression web
area, taken about an axis in the web (in .)r Radius of root
fillet
-
Structural Shapes Page 17
Shap
es m
arke
d *
re
quire
a m
inim
um o
f 50
MT
per s
ize
(foo
twei
ght)
and
gra
de fo
r mill
orde
rs. M
any
popu
lar s
izes
are
ava
ilabl
e fr
om s
tock
in t
he U
.S. f
or o
rder
s le
ss t
han
50
MT
per s
ize.
Sect
iona
l Pro
pert
ies
(Im
peri
al)
Sect
ion
Des
igna
tion
A
rea
A
Dep
th d
W
ebFl
ange
Dis
tanc
eC
ompa
ct
Sect
ion
Crit
eria
Axi
s X-
XA
xis
Y-Y
r tsh o
Tors
iona
l Pr
oper
ties
Ava
ilabl
e in
HIS
TAR
A913
Thic
knes
st w
t w/2
Wid
thb f
Thic
knes
st f
kk 1
TW
ork-
able
G
age
k des
k det
bf
/2t f
h /tw
IS
rZ
IS
rZ
JC
w
[in.2 ]
[in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.4 ][in
.3 ][in
.][in
.3 ][in
.4 ][in
.3 ][in
.][in
.3 ][in
.][in
.][in
.4 ]
[in.6 ]
W 4
4 x
16
x 3
35
*
98
.7
44
.02
4
4
1 .0
2
1
1/2
1
5 .9
5
15
3/4
1
.77
1
3/4
2
.56
2 5
/81
5/1
63
8 3
/45
1/2
4 .5
03
8 .0
31
10
01
41
01
7 .8
16
20
12
00
15
03
.49
23
64
.24
42
.37
4 .7
53
50
00
HI
x 2
90
*
85
.8
43
.62
4
3 5
/8
0 .8
7
7/8
7
/16
1
5 .8
3
15
7/8
1
.58
1
9/1
6
2 .3
62
7/1
61
1/4
38
3/4
5 1
/25
.02
45
.02
70
00
12
40
17
.81
41
01
04
01
32
3 .4
92
05
4 .2
14
2 .0
50
.94
61
00
0H
I x
26
2 *
7
7 .2
4
3 .3
1
43
3/8
0
.79
1
3/1
6
3/8
1
5 .7
5
15
3/4
1
.42
1
7/1
6
2 .2
02
1/4
1 3
/16
38
3/4
5 1
/25
.57
49
.62
41
00
11
10
17
.71
27
09
23
11
73
.47
18
24
.17
41
.93
7 .3
40
50
00
HI
x 2
30
*
67
.9
42
.91
4
2 7
/8
0 .7
1
11
/16
3
/8
15
.75
1
5 3
/4
1 .2
2
1 1
/4
2 .0
12
1/1
61
3/1
63
8 3
/45
1/2
6 .4
55
4 .8
20
80
09
71
17
.51
10
07
96
10
13
.43
15
74
.13
41
.72
4 .9
34
60
00
HI
W 4
0 x
16
x 5
93
* 1
74
.4
42
.99
4
3
1 .7
9
1 1
3/1
6
1
16
.69
1
6 3
/4
3 .2
3
3 1
/4
4 .4
14
1/2
2 1
/83
47
1/2
2 .5
81
9 .1
50
40
02
34
01
7 .0
27
60
25
20
30
23
.80
48
14
.63
39
.84
45
99
70
00
x 5
03
* 1
47
.8
42
.05
4
2 1
/16
1
.54
1
9/1
6
3/4
1
6 .4
2
16
7/1
6
2 .7
6
2 3
/4
3 .9
44
23
47
1/2
2 .9
82
2 .3
41
60
01
98
01
6 .8
23
10
20
40
24
93
.72
39
44
.50
39
.32
77
78
90
00
HI
x 4
31
* 1
26
.7
41
.26
4
1 1
/4
1 .3
4
1 5
/16
1
1/1
6
16
.22
1
6 1
/4
2 .3
6
2 3
/8
3 .5
43
5/8
1 7
/83
47
1/2
3 .4
42
5 .5
34
80
01
69
01
6 .6
19
60
16
90
20
83
.65
32
84
.41
38
.91
77
63
80
00
HI
x 3
97
* 1
16
.0
40
.95
4
1
1 .2
2
1 1
/4
5/8
1
6 .1
2
16
1/8
2
.20
2
3/1
6
3 .3
83
1/2
1 1
3/1
63
47
1/2
3 .6
62
8 .0
32
00
01
56
01
6 .6
18
00
15
40
19
13
.64
30
04
.37
38
.81
42
57
90
00
HI
x 3
72
*1
09
40
.64
0 5
/81
.16
1 3
/16
5/8
16
.11
6 1
/82
.05
2 1
/16
3 .2
33
5/1
61
13
/16
34
7 1
/23
.93
29
.52
96
00
14
60
16
.51
68
01
42
01
77
3 .6
02
77
4 .3
43
8 .6
11
65
28
00
0H
Ix
36
2 *
10
6 .0
4
0 .5
5
40
1/2
1
.12
1
1/8
9
/16
1
6 .0
2
16
2
.01
2
3
.19
3 1
/41
3/4
34
7 1
/23
.99
30
.52
89
00
14
20
16
.51
64
01
38
01
73
3 .6
02
70
4 .3
33
8 .5
10
95
13
00
0H
I x
32
4 *
9
5 .3
4
0 .1
6
40
1/8
1
.00
1
1
/2
15
.91
1
5 7
/8
1 .8
1
1 1
3/1
6
2 .9
93
1/1
61
11
/16
34
7 1
/24
.40
34
.22
56
00
12
80
16
.41
46
01
22
01
53
3 .5
82
39
4 .2
83
8 .4
79
.44
48
00
0H
I x
29
7 *
8
7 .4
3
9 .8
4
39
7/8
0
.93
1
5/1
6
1/2
1
5 .8
3
15
7/8
1
.65
1
5/8
2
.83
2 1
5/1
61
11
/16
34
7 1
/24
.80
36
.82
32
00
11
70
16
.31
33
01
09
01
38
3 .5
42
15
4 .2
33
8 .2
61
.23
99
00
0H
I x
27
7 *
8
1 .4
3
9 .6
9
39
3/4
0
.83
1
3/1
6
7/1
6
15
.83
1
5 7
/8
1 .5
8
1 9
/16
2
.76
2 7
/81
5/8
34
7 1
/25
.03
41
.22
19
00
11
00
16
.41
25
01
04
01
32
3 .5
82
04
4 .2
53
8 .1
51
.53
79
00
0H
I x
24
9 *
7
3 .3
3
9 .3
8
39
3/8
0
.75
3
/4
3/8
1
5 .7
5
15
3/4
1
.42
1
7/1
6
2 .6
02
11
/16
1 9
/16
3
47
1/2
5 .5
54
5 .6
19
60
09
93
16
.31
12
09
26
11
83
.55
18
24
.21
38
.03
8 .1
33
40
00
HI
x 2
15
*
63
.4
38
.98
3
9
0 .6
5
5/8
5
/16
1
5 .7
5
15
3/4
1
.22
1
1/4
2
.40
2 1
/21
9/1
6
34
7 1
/26
.45
52
.61
67
00
85
91
6 .2
96
47
96
10
13
.54
15
64
.18
37
.82
4 .8
28
40
00
HI
x 1
99
*
58
.5
38
.67
3
8 5
/8
0 .6
5
5/8
5
/16
1
5 .7
5
15
3/4
1
.07
1
1/1
6
2 .2
52
5/1
61
9/1
6
34
7 1
/27
.39
52
.61
49
00
77
01
6 .0
86
96
95
88
.23
.45
13
74
.12
37
.61
8 .3
24
60
00
HI
W 4
0 x
12
x 3
92
* 1
15
.3
41
.57
4
1 9
/16
1
.42
1
7/1
6
11
/16
1
2 .3
6
12
3/8
2
.52
2
1/2
3
.70
3 1
3/1
61
15
/16
34
7 1
/22
.45
24
.12
99
00
14
40
16
.11
71
08
03
13
02
.64
21
23
.30
39
.11
72
30
60
00
HI
x 3
31
*
97
.5
40
.79
40
13
/16
1
.22
1
1/4
5
/8
12
.17
1
2 3
/16
2
.13
2
1/8
3
.31
3 3
/81
13
/16
34
7 1
/22
.86
28
.02
47
00
12
10
15
.91
43
06
44
10
62
.57
17
23
.21
38
.71
05
24
10
00
HI
x 2
94
86
.34
0 .4
40
3/8
1 .0
61
1/1
69
/16
12
.01
21
.93
1 1
5/1
63
.11
3 3
/16
1 3
/43
47
1/2
3 .1
13
2 .2
21
90
01
08
01
5 .9
12
70
56
29
3 .5
2 .5
51
50
3 .1
63
8 .5
76
.62
08
00
0H
Ix
27
8 *
8
1 .9
4
0 .1
6
40
3/1
6
1 .0
2
1
1/2
1
1 .9
7
12
1
.81
1
13
/16
2
.99
3 1
/16
1 3
/43
47
1/2
3 .3
13
3 .3
20
50
01
02
01
5 .8
11
90
52
18
7 .1
2 .5
21
40
3 .1
33
8 .4
65
.01
92
00
0H
I x
26
4 *
7
7 .5
4
0 .0
0
40
0
.96
1
1
/2
11
.93
1
1 7
/8
1 .7
3
1 3
/4
2 .9
13
1 1
1/1
63
47
1/2
3 .4
53
5 .6
19
40
09
71
15
.81
13
04
93
82
.62
.52
13
23
.12
38
.35
6 .1
18
10
00
HI
x 2
35
*
69
.0
39
.69
3
9 3
/4
0 .8
3
1 3
/16
7
/16
1
1 .8
9
11
7/8
1
.58
1
9/1
6
2 .7
62
7/8
1 5
/83
47
1/2
3 .7
74
1 .2
17
40
08
75
15
.91
01
04
44
74
.62
.54
11
83
.11
38
.14
1 .3
16
10
00
HI
x 2
11
*
62
.0
39
.37
3
9 3
/8
0 .7
5
3/4
3
/8
11
.81
1
1 3
/4
1 .4
2
1 7
/16
2
.60
2 1
1/1
61
9/1
6
34
7 1
/24
.17
45
.61
55
00
78
61
5 .8
90
63
90
66
.12
.51
10
53
.07
38
.03
0 .4
14
10
00
HI
x 1
83
*
53
.8
38
.98
3
9
0 .6
5
5/8
5
/16
1
1 .8
1
11
3/4
1
.22
1
1/4
2
.38
2 1
/21
9/1
6
34
7 1
/24
.92
52
.61
32
00
67
51
5 .7
77
43
31
56
.02
.49
88
.33
.04
37
.81
9 .3
11
80
00
HI
x 1
67
*
49
.2
38
.59
3
8 5
/8
0 .6
5
5/8
5
/16
1
1 .8
1
11
3/4
1
.03
1
2
.21
2 5
/16
1 9
/16
3
47
1/2
5 .7
65
2 .6
11
60
06
00
15
.36
93
28
34
7 .9
2 .4
07
6 .0
2 .9
83
7 .6
14
.09
97
00
HI
x 1
49
*
43
.8
38
.20
3
8 1
/4
0 .6
3
5/8
5
/16
1
1 .8
1
11
3/4
0
.83
1
3/1
6
2 .0
12
1/8
1 1
/23
47
1/2
7 .1
15
4 .3
98
00
51
31
5 .0
59
82
29
38
.82
.29
62
.22
.89
37
.49
.36
80
00
0 W
36
x 1
6 .5
x 6
50
* 1
91
.0
40
.47
4
0 1
/2
1 .9
7
1
1
17
.58
1
7 5
/8
3 .5
4
3 9
/16
4
.50
4 1
/21
15
/16
31
1/2
7 1
/22
.52
0 .5
48
87
52
41
516
.00
28
59
32
25
36
74
.11
58
04
.70
36 .9
359
9 .9
1665
3332
x
52
7 *
15
4 .7
3
9 .2
1
39
1/4
1
.61
1
5/8
1
3/1
6
17
.22
1
7 1
/4
2 .9
1
2 1
5/1
6
3 .8
83
7/8
1 3
/43
1 1
/27
1/2
3 .0
24
.43
82
88
19
53
15 .7
32
28
02
48
92
89
4 .0
14
54
4 .6
03
6 .3
330 .
312
6076
51H
I x
43
9 *
12
8 .9
3
8 .2
6
38
1/4
1
.36
1
3/8
1
1/1
6
16
.97
1
7
2 .4
4
2 7
/16
3
.38
3 3
/81
5/8
31
1/2
7 1
/23
.52
8 .1
31
02
11
62
215
.51
18
74
19
93
23
53
.93
36
74
.52
35 .8
219
5 .1
99
56
77
8H
I x
39
3 *
11
5 .6
3
7 .8
0
37
3/4
1
.22
1
1/4
5
/8
16
.83
1
6 7
/8
2 .2
0
2 3
/16
3
.13
3 1
/81
9/1
63
1 1
/27
1/2
3 .8
31
.02
74
89
14
54
15 .4
21
67
11
75
42
08
3 .9
03
25
4 .4
93
5 .6
142 .
58
70
06
44
HI
x 3
59
* 1
05
.4
37
.40
3
7 3
/8
1 .1
2
1 1
/8
9/1
6
16
.73
1
6 3
/4
2 .0
1
2
2 .9
42
15
/16
1 1
/23
1 1
/27
1/2
4 .2
33
.42
47
60
13
24
15 .3
31
51
51
57
31
88
3 .8
62
92
4 .4
635
.39
109 .
07
75
57
70
HI
x 3
28
*
96
.4
37
.09
3
7 1
/8
1 .0
2
1
1/2
1
6 .6
3
16
5/8
1
.85
1
7/8
2
.81
2 1
3/1
61
7/1
63
1 1
/27
1/2
4 .5
36
.42
24
93
12
13
15 .2
81
38
11
42
11
71
3 .8
42
65
4 .4
335
.24
84
.56
97
70
90
HI
x 3
00
8
8 .3
3
6 .7
4
36
3/4
0
.95
1
5/1
6
1/2
1
6 .6
6
16
5/8
1
.68
1
11
/16
2
.63
2 5
/81
7/1
63
1 1
/27
1/2
5 .0
38
.92
03
47
11
08
15 .1
81
25
71
29
61
56
3 .8
32
41
4 .4
335
.06
64
.46
25
18
68
HI
x 2
80
8
2 .4
3
6 .5
2
36
1/2
0
.89
7
/8
7/1
6
16
.60
1
6 5
/8
1 .5
7
1 9
/16
2
.50
2 1
/21
3/8
31
1/2
7 1
/25
.34
1 .3
18
87
41
03
415
.13
11
70
11
98
14
43
.81
22
34
.41
34 .9
55
2 .7
57
78
36
8H
I x
26
0
76
.5
36
.26
3
6 1
/4
0 .8
4
13
/16
7
/16
1
6 .5
5
16
1/2
1
.44
1
7/1
6
2 .3
82
3/8
1 3
/83
1 1
/27
1/2
5 .7
43
.21
72
67
95
215
.03
10
76
10
90
13
23
.78
20
44
.39
34 .8
24
1 .7
52
30
80
5H
I x
24
5
72
.0
36
.08
3
6 1
/8
0 .8
0
13
/16
7
/16
1
6 .5
1
16
1/2
1
.35
1
3/8
2
.31
2 5
/16
1 3
/83
1 1
/27
1/2
6 .1
45
.11
61
36
83
414
.97
10
09
10
14
12
33
.75
19
04
.37
34 .7
33
4 .8
48
57
50
8H
I x
23
0
67
.6
35
.90
3
5 7
/8
0 .7
6
3/4
3
/8
16
.47
1
6 1
/2
1 .2
6
1 1
/4
2 .1
92
3/1
61
5/1
63
1 1
/27
1/2
6 .5
47
.21
50
20
83
714
.90
94
39
40
11
43
.73
17
6
4 .3
534
.64
28
.74
50
37
21
HI
W 3
6 x
16
.5 x
65
2 *
19
1 .7
4
1 .0
6
41
1
.97
2
1
1
7 .5
6
17
9/1
6
3 .5
4
3 9
/16
4
.49
4 1
3/1
62
3/1
63
1 3
/87
1/2
2 .4
81
6 .3
50
60
02
46
01
6 .2
29
10
32
30
36
74
.10
58
14
.96
37
.55
93
11
30
00
0
x 5
29
* 1
55
.3
39
.80
39
13
/16
1
.61
1
5/8
1
3/1
6
17
.20
1
7 3
/16
2
.91
2
15
/16
3
.86
4 3
/16
23
1 3
/87
1/2
2 .9
61
9 .9
39
60
01
99
01
6 .0
23
30
24
90
28
94
.00
45
44
.80
36
.93
27
84
60
00
HI
x 4
87
* 1
43
.0
39
.33
3
9 5
/16
1
.50
1
1/2
3
/4
17
.09
1
7 1
/16
2
.68
2
11
/16
3
.63
41
15
/16
31
3/8
7 1
/23
.19
21
.43
60
00
18
30
15
.82
13
02
25
02
63
3 .9
64
12
4 .7
43
6 .7
25
87
54
00
0H
I x
44
1 *
12
9 .5
3
8 .8
6
38
7/8
1
.36
1
3/8
1
1/1
6
16
.97
1
6 1
5/1
6
2 .4
4
2 7
/16
3
.39
3 3
/41
7/8
31
3/8
7 1
/23
.48
23
.63
21
00
16
50
15
.71
91
01
99
02
35
3 .9
23
68
4 .6
93
6 .4
19
46
61
00
0H
I x
39
5 *
11
6 .0
3
8 .4
3
38
7/1
6
1 .2
2
1 1
/4
5/8
1
6 .8
1
16
13
/16
2
.20
2
3/1
6
3 .1
53
7/1
61
13
/16
31
3/8
7 1
/23
.83
26
.32
85
00
14
90
15
.71
71
01
75
02
08
3 .8
83
25
4 .6
13
6 .2
14
25
75
00
0H
I x
36
1 *
10
5 .8
3
7 .9
9
38
1
.12
1
1/8
9
/16
1
6 .7
3
16
3/4
2
.01
2
2
.96
3 5
/16
1 3
/43
1 3
/87
1/2
4 .1
62
8 .6
25
70
01
35
01
5 .6
15
50
15
70
18
83
.85
29
34
.58
36
.01
09
50
90
00
HI
x 3
30
*
96
.6
37
.68
37
11
/16
1
.02
1
1
/2
16
.61
1
6 5
/8
1 .8
5
1 7
/8
2 .8
03
1/8
1 3
/43
1 3
/87
1/2
4 .4
93
1 .4
23
30
01
24
01
5 .5
14
10
14
20
17
13
.83
26
54
.53
35
.88
4 .3
45
60
00
HI
x 3
02
8
8 .6
3
7 .3
2
37
5/1
6
0 .9
4
15
/16
1
/2
16
.65
1
6 5
/8
1 .6
8
1 1
1/1
6
2 .6
33
1 1
1/1
63
1 3
/87
1/2
4 .9
63
3 .9
21
10
01
13
01
5 .4
12
80
13
00
15
63
.82
24
14
.53
35
.76
4 .3
41
20
00
HI
x 2
82
8
2 .8
3
7 .1
3
37
1/8
0
.89
7
/8
7/1
6
16
.61
1
6 5
/8
1 .5
7
1 9
/16
2
.52
2 7
/81
5/8
31
3/8
7 1
/25
.29
36
.21
96
00
10
50
15
.41
19
01
20
01
44
3 .8
02
23
4 .5
03
5 .5
52
.73
78
00
0H
I x
26
2
76
.6
36
.85
3
6 7
/8
0 .8
4
13
/16
7
/16
1
6 .5
4
16
9/1
6
1 .4
4
1 7
/16
2
.39
2 3
/41
5/8
31
3/8
7 1
/25
.75
38
.21
79
00
97
21
5 .3
11
00
10
90
13
23
.76
20
44
.46
35
.44
1 .6
34
20
00
HI
x 2
47
7
2 .2
3
6 .6
5
36
5/8
0
.80
1
3/1
6
7/1
6
16
.50
1
6 1
/2
1 .3
5
1 3
/8
2 .3
02
5/8
1 5
/83
1 3
/87
1/2
6 .1
14
0 .1
16
70
09
13
15
.21
03
01
01
01
23
3 .7
41
90
4 .4
23
5 .3
34
.73
16
00
0H
I x
23
1
67
.8
36
.50
3
6 1
/2
0 .7
6
3/4
3
/8
16
.46
1
6 7
/16
1
.26
1
1/4
2
.21
2 9
/16
1 9
/16
3
1 3
/87
1/2
6 .5
44
2 .2
15
60
08
54
15
.19
63
94
01
14
3 .7
11
76
4 .4
03
5 .2
28
.72
92
00
0H
I
-
Structural Shapes Page 18
Shap
es m
arke
d *
re
quire
a m
inim
um o
f 50
MT
per s
ize
(foo
twei
ght)
and
gra
de fo
r mill
orde
rs. M
any
popu
lar s
izes
are
ava
ilabl
e fr
om s
tock
in t
he U
.S. f
or o
rder
s le
ss t
han
50
MT
per s
ize.
Sect
iona
l Pro
pert
ies
(Im
peri
al)
Sect
ion
Des
igna
tion
A
rea
A
Dep
th d
W
ebFl
ange
Dis
tanc
eC
ompa
ct
Sect
ion
Crit
eria
Axi
s X-
XA
xis
Y-Y
r tsh o
Tors
iona
l Pr
oper
ties
Ava
ilabl
e in
HIS
TAR
A913
Thic
knes
st w
t w/2
Wid
thb f
Thic
knes
st f
kk 1
TW
ork-
able
G
age
k des
k det
bf
/2t f
h /tw
IS
rZ
IS
rZ
JC
w
[in.2 ]
[in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.] [in
.4 ][in
.3 ][in
.][in
.3 ][in
.4 ][in
.3 ][in
.][in
.3 ][in
.][in
.][in
.4 ]
[in.6 ]
W 3
6 x
12
x 2
10
6
1 .8
3
6 .6
9
36
3/4
0
.83
1
3/1
6
7/1
6
12
.18
1
2 1
/8
1 .3
6
1 3
/8
2 .1
12
5/1
61
1/4
32
1/8
5 1
/24
.48
39
.11
32
00
71
91
4 .6
83
34
11
67
.52
.58
10
73
.18
35
.32
8 .0
12
80
00
HI
x 1
94
5
7 .0
3
6 .4
9
36
1/2
0
.77
3
/4
3/8
1
2 .1
2
12
1/8
1
.26
1
1/4
2
.01
2 3
/16
1 3
/16
32
1/8
5 1
/24
.81
42
.41
21
00
66
41
4 .6
76
73
75
61
.92
.56
97
.73
.15
35
.22
2 .2
11
60
00
HI
x 1
82
5
3 .6
3
6 .3
3
36
3/8
0
.73
3
/4
3/8
1
2 .0
8
12
1/8
1
.18
1
3/1
6
1 .9
32
1/8
1 3
/16
32
1/8
5 1
/25
.12
44
.81
13
00
62
31
4 .5
71
83
47
57
.62
.55
90
.73
.13
35
.21
8 .5
10
70
00
HI
x 1
70
5
0 .0
3
6 .1
7
36
1/8
0
.68
1
1/1
6
3/8
1
2 .0
3
12
1
.10
1
1/8
1
.85
21
3/1
63
2 1
/85
1/2
5 .4
74
7 .7
10
50
05
81
14
.56
68
32
05
3 .2
2 .5
38
3 .8
3 .1
13
5 .1
15
.19
85
00
HI
x 1
60
4
7 .0
3
6 .0
1
36
0
.65
5
/8
5/1
6
12
.00
1
2
1 .0
2
1
1 .7
71
15
/16
1 1
/83
2 1
/85
1/2
5 .8
84
9 .9
97
60
54
21
4 .4
62
42
95
49
.12
.50
77
.33
.08
35
.01
2 .4
90
20
0H
I x
15
0
44
.2
35
.85
3
5 7
/8
0 .6
3
5/8
5
/16
1
1 .9
8
12
0
.94
1
5/1
6
1 .6
91
7/8
1 1
/83
2 1
/85
1/2
6 .3
75
1 .9
90
40
50
41
4 .3
58
12
70
45
.12
.47
70
.93
.06
34
.91
0 .1
82
20
0H
I x
13
5
39
.7
35
.55
3
5 1
/2
0 .6
0
5/8
5
/16
1
1 .9
5
12
0
.79
1
3/1
6
1 .5
41
11
/16
1 1
/83
2 1
/85
1/2
7 .5
65
4 .1
78
00
43
91
4 .0
50
92
25
37
.72
.38
59
.72
.99
34
.87
.00
68
10
0W
33
x 1
1 .5
x 1
69
*
49
.5
33
.82
33
13
/16
0
.67
1
1/1
6
5/1
6
11
.50
1
1 1
/2
1 .2
2
1 1
/4
1 .9
22
1/8
1 3
/16
29
5/8
5 1
/24
.71
44
.79
29
05
49
13
.76
29
31
05
3 .9
2 .5
08
4 .4
3 .0
33
2 .6
17
.78
24
00
HI
x 1
52
4
4 .7
3
3 .4
9
33
1/2
0
.64
5
/8
5/1
6
11
.57
1
1 5
/8
1 .0
6
1 1
/16
1
.76
1 1
5/1
61
1/8
29
5/8
5 1
/25
.48
47
.28
16
04
87
13
.55
59
27
34
7 .2
2 .4
77
3 .9
3 .0
13
2 .4
12
.47
17
00
HI
x 1
41
4
1 .6
3
3 .3
0
33
1/4
0
.61
5
/8
5/1
6
11
.54
1
1 1
/2
0 .9
6
15
/16
1
.66
1 1
3/1
61
1/8
29
5/8
5 1
/26
.01
49
.67
45
04
48
13
.45
14
24
64
2 .7
2 .4
36
6 .9
2 .9
83
2 .3
9 .7
06
44
00
HI
x 1
30
3
8 .3
3
3 .0
9
33
1/8
0
.58
9
/16
5
/16
1
1 .5
1
11
1/2
0
.86
7
/8
1 .5
61
3/4
1 1
/82
9 5
/85
1/2
6 .7
35
1 .7
67
10
40
61
3 .2
46
72
18
37
.92
.39
59
.52
.94
32
.27
.37
56
60
0H
I x
11
8
34
.7
32
.86
3
2 7
/8
0 .5
5
9/1
6
5/1
6
11
.48
1
1 1
/2
0 .7
4
3/4
1
.44
1 5
/81
1/8
29
5/8
5 1
/27
.76
54
.55
90
03
59
13
.04
15
18
73
2 .6
2 .3
25
1 .3
2 .8
93
2 .1
5 .3
04
83
00
W 3
0 x
10
.5 x
14
8 *
4
3 .5
3
0 .6
7 3
0 1
1/1
6
0 .6
5
5/8
5
/16
1
0 .4
8
10
1/2
1
.18
1
3/1
6
1 .8
32
1/1
61
1/8
26
1/2
5 1
/24
.44
41
.66
68
04
36
12
.45
00
22
74
3 .3
2 .2
86
8 .0
2 .7
72
9 .5
14
.54
94
00
HI
x 1
32
3
8 .9
3
0 .3
1
30
1/4
0
.62
5
/8
5/1
6
10
.55
1
0 1
/2
1 .0
0
1
1 .6
51
7/8
1 1
/82
6 1
/25
1/2
5 .2
74
3 .9
57
70
38
01
2 .2
43
71
96
37
.22
.25
58
.42
.75
29
.39
.72
42
10
0H
I x
12
4
36
.5
30
.17
3
0 1
/8
0 .5
9
9/1
6
5/1
6
10
.52
1
0 1
/2
0 .9
3
15
/16
1
.58
1 1
3/1
61
1/8
26
1/2
5 1
/25
.65
46
.25
36
03
55
12
.14
08
18
13
4 .4
2 .2
35
4 .0
2 .7
32
9 .2
7 .9
93
86
00
HI
x 1
16
3
4 .2
3
0 .0
1
30
0
.57
9
/16
5
/16
1
0 .5
0
10
1/2
0
.85
7
/8
1 .5
01
3/4
1 1
/82
6 1
/25
1/2
6 .1
74
7 .8
49
30
32
91
2 .0
37
81
64
31
.32
.19
49
.22
.70
29
.26
.43
34
90
0H
I x
10
8
31
.7
29
.83
2
9 7
/8
0 .5
5
9/1
6
5/1
6
10
.48
1
0 1
/2
0 .7
6
3/4
1
.41
1 1
1/1
61
1/8
26
1/2
5 1
/26
.89
49
.64
47
02
99
11
.93
46
14
62
7 .9
2 .1
54
3 .9
2 .6
62
9 .1
4 .9
93
09
00
HI
x 9
9
29
.1
29
.65
2
9 5
/8
0 .5
2
1/2
1
/4
10
.45
1
0 1
/2
0 .6
7
11
/16
1
.32
1 9
/16
1
1/1
62
6 1
/25
1/2
7 .8
05
1 .9
39
90
26
91
1 .7
31
21
28
24
.52
.10
38
.62
.62
29
.03
.77
26
80
0W
27
x 1
0 x
12
9 *
3
7 .8
2
7 .6
3
27
5/8
0
.61
5
/8
5/1
6
10
.01
1
0
1 .1
0
1 1
/8
1 .7
02
1 1
/82
3 5
/85
1/2
4 .5
53
9 .7
47
60
34
51
1 .2
39
51
84
36
.82
.21
57
.62
.66
26
.51
1 .1
32
50
0H
I x
11
4
33
.5
27
.29
2
7 1
/4
0 .5
7
9/1
6
5/1
6
10
.07
1
0 1
/8
0 .9
3
15
/16
1
.53
1 1
3/1
61
1/8
23
5/8
5 1
/25
.41
42
.54
08
02
99
11
.03
43
15
93
1 .5
2 .1
84
9 .3
2 .6
42
6 .4
7 .3
32
76
00
HI
x 1
02
3
0 .0
2
7 .0
9
27
1/8
0
.52
1
/2
1/4
1
0 .0
2
10
0
.83
1
3/1
6
1 .4
31
3/4
1 1
/16
23
5/8
5 1
/26
.03
47
.13
62
02
67
11
.03
05
13
92
7 .8
2 .1
54
3 .4
2 .6
22
6 .3
5 .2
82
40
00
HI
x 9
4
27
.7
26
.92
2
6 7
/8
0 .4
9
1/2
1
/4
9 .9
9
10
0
.75
3
/4
1 .3
41
5/8
1 1
/16
23
5/8
5 1
/26
.70
49
.53
27
02
43
10
.92
78
12
42
4 .8
2 .1
23
8 .8
2 .5
92
6 .2
4 .0
32
13
00
x 8
4
24
.8
26
.71
2
6 3
/4
0 .4
6
7/1
6
1/4
9
.96
1
0
0 .6
4
5/8
1
.24
1 9
/16
1
1/1
62
3 5
/85
1/2
7 .7
85
2 .7
28
50
21
31
0 .7
24
41
06
21
.22
.07
33
.22
.54
26
.12
.81
17
90
0W
24
x 12
.75
x 37
0 *
10
8 .0
2
7 .9
9
28
1
.52
1
1/2
3
/4
13
.66
1
3 5
/8
2 .7
2
2 3
/4
3 .2
23
5/8
1 9
/16
2
0 3
/45
1/2
2 .5
11
4 .2
13
40
09
57
11
.11
13
01
16
01
70
3 .2
72
67
3 .9
22
5 .3
20
11
86
00
0H
I x
33
5 *
9
8 .4
2
7 .5
2
27
1/2
1
.38
1
3/8
1
1/1
6
13
.52
1
3 1
/2
2 .4
8
2 1
/2
2 .9
83
3/8
1 1
/22
0 3
/45
1/2
2 .7
31
5 .6
11
90
08
64
11
.01
02
01
03
01
52
3 .2
32
38
3 .8
62
5 .0
15
21
61
00
0H
I x
30
6 *
8
9 .8
2
7 .1
3
27
1/8
1
.26
1
1/4
5
/8
13
.41
1
3 3
/8
2 .2
8
2 1
/4
2 .7
83
3/1
61
7/1
62
0 3
/45
1/2
2 .9
41
7 .1
10
70
07
89
10
.99
22
91
91
37
3 .2
02
14
3 .8
12
4 .9
11
71
42
00
0H
I x
27
9 *
8
2 .0
2
6 .7
3
26
3/4
1
.16
1
3/1
6
5/8
1
3 .3
1
13
1/4
2
.09
2
1/1
6
2 .5
93
1 7
/16
20
3/4
5 1
/23
.18
18
.69
60
07
18
10
.88
35
82
31
24
3 .1
71
93
3 .7
62
4 .6
90
.51
25
00
0H
I x
22
9 *
6
7 .2
2
6 .0
2
26
0
.96
1
1
/2
13
.11
1
3 1
/8
1 .7
3
1 3
/4
2 .2
32
5/8
1 5
/16
20
3/4
5 1
/23
.79
22
.57
65
05
88
10
.76
75
65
19
9 .4
3 .1
11
54
3 .6
72
4 .3
51
.39
61
00
HI
x 1
92
*
56
.3
25
.47
2
5 1
/2
0 .8
1
13
/16
7
/16
1
2 .9
5
13
1
.46
1
7/1
6
1 .9
62
3/8
1 1
/42
0 3
/45
1/2
4 .4
32
6 .6
62
60
49
11
0 .5
55
95
30
81
.83
.07
12
63
.60
24
.03
0 .8
76
30
0H
I x
17
6 *
5
1 .7
2
5 .2
4
25
1/4
0
.75
3
/4
3/8
1
2 .8
9
12
7/8
1
.34
1
5/1
6
1 .8
42
1/4
1 3
/16
20
3/4
5 1
/24
.81
28
.75
68
04
50
10
.55
11
47
97
4 .3
3 .0
41
15
3 .5
72
3 .9
23
.96
84
00
HI
x 1
62
4
7 .7
2
5 .0
0
25
0
.71
1
1/1
6
3/8
1
2 .9
6
13
1
.22
1
1/4
1
.72
2 1
/81
3/1
62
0 3
/45
1/2
5 .3
13
0 .6
51
70
41
41
0 .4
46
84
43
68
.43
.05
10
53
.57
23
.81
8 .5
62
60
0H
I x
14
6
43
.0
24
.74
2
4 3
/4
0 .6
5
5/8
5
/16
1
2 .9
0
12
7/8
1
.09
1
1/1
6
1 .5
92
1 1
/82
0 3
/45
1/2
5 .9
23
3 .2
45
80
37
11
0 .3
41
83
91
60
.53
.01
93
.23
.53
23
.71
3 .4
54
60
0H
I x
13
1
38
.6
24
.48
2
4 1
/2
0 .6
1
5/8
5
/16
1
2 .8
6
12
7/8
0
.96
1
5/1
6
1 .4
61
7/8
1 1
/82
0 3
/45
1/2
6 .7
03
5 .6
40
20
32
91
0 .2
37
03
40
53
.02
.97
81
.53
.49
23
.59
.50
47
10
0H
I x
11
7
34
.4
24
.26
2
4 1
/4
0 .5
5
9/1
6
5/1
6
12
.80
1
2 3
/4
0 .8
5
7/8
1
.35
1 3
/41
1/8
20
3/4
5 1
/27
.53
39
.23
54
02
91
10
.13
27
29
74
6 .5
2 .9
47
1 .4
3 .4
62
3 .4
6 .7
24
08
00
HI
x 1
04
3
