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ArcelorMittal International Structural Shapes Sales Program and Product Information

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Page 1: American Structural Shapes

ArcelorMittal International

Structural ShapesSales Program and Product Information

Page 2: American Structural Shapes

Structural Shapes

Page 3: American 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 . . . . . . . . . . . . . . . . . . . . . . . 10FAQ’s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11Arcelor US Beam Stock . . . . . . . . . . . . . . . . . 13Technical Assistance . . . . . . . . . . . . . . . . . . . 13List of Available Sections . . . . . . . . . . . . . . . 14References in HISTAR . . . . . . . . . . . . . . . . . . 15Section Properties . . . . . . . . . . . . . . . . . . . . . 16A913 Grade 65 Column Design Tables . . . 35

ArcelorMittal International North America Headquarters1 South Dearborn13th FloorChicago, Il 60603Ph . 312 899 3500Fax . 312 899 3765

ChicagoVincent MondelliSales Manager Long ProductsPh . 312 899 3961vincent .mondelli@arcelormittal .comAnthony BryantProduct Manager Special sections & ASP inventoryPh . 312 899 3695anthony .bryant@arcelormittal .comTechnical ServicePh . 312 899 3960

West Coast U.S./Canada10735 240 Street Maple Ridge, BC, Canada . V2W0B6Emiliano MoraSales managerPh . 604 476 0131Fax . 604 476 0132emiliano .mora@arcelormittal .comCanada/BurlingtonAngelo CurcuruSales ManagerPh . 905 631 9500Cell . 905 320 6649Fax . 905 631 9505angelo .curcuru@arcelormittal .com

Mexico/QueretaroPrivada de los Industriales No . 110-A,Desp . 801-802, Col . Industrial Benito Juarez76100 Queretaro, Qro .MexicoJose BustosSales ManagerPh . (52) 442 218 2887Fax . (52) 442 218 1400jose .bustos@arcelormittal .com

Page 4: American Structural Shapes

Structural Shapes – Page 2

#1 Producer of Structural Shapes

ArcelorMittal (cre-ated through the merger of Arcelor and Mittal Steel) is the world’s 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 – includ-ing 15,000 in the U .S . and Canada - has a total revenue of 110 billion USD (2007) and operates in over 65 countries . Arcelor is the world’s leading manufacturer of steel shapes with an annual production of over five mil-lion metric tons and the European leader in structural and piling sections . In addition we are a major supplier of heavy shapes and 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

Page 5: American Structural Shapes

Structural Shapes – Page 3

Production Process of ShapesISO 9001 Certified Quality

As the world’s 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 sector’s 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 .

Page 6: American Structural Shapes

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 70ºF .

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 1½ 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 70°F .

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

Page 7: American Structural Shapes

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 to…ASTM A913/A913M .” AISC

Seismic Provisions“AISC 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 32ºF) 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

Page 8: American Structural Shapes

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 32ºF) 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 32ºF, AWS D1 .1 requires preheating to 70ºF . 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 70°F at the flange location . Upon agree-ment material can be supplied with Charpy V-Notch tests down to -58°F at supplemental cost .

Typical statistical distribution of Charpy V-Notch values

CVN test at 32°F

HISTAR® A913 Grade 50

HISTAR® A913 Grade 65

(ft-lbf) (ft-lbf)

Average 136 141Standard deviation 24 28Minimum 76 64Maximum 190 266

Page 9: American Structural Shapes

Structural Shapes – Page 7

Grade 50 and Grade 65Seismic Design‘Strong Column - Weak Beam’Concept 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 beam’s 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 ArcelorMittal’s 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 industry’s 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

Page 10: American Structural Shapes

Structural Shapes – Page 8

A913 Grade 50 and Grade 65When to use…When it is necessary to preheat the weld area…A 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” 32°F* 32°F 32°F3/4 - 1 1/2” 32°F* 50°F 50°F1 1/2” - 2 1/2” 32°F* 150°F 150°Fover 2 1/2” 32°F* 225°F 225°F

* 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 concern…If 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 @ 70°F 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

Page 11: American Structural Shapes

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

Page 12: American Structural Shapes

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 Beam’’As 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 32°F 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

Page 13: American Structural Shapes

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 ArcelorMittal’s 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 70°F in the flange position (A673) is a general requirement of ASTM A913 . Upon request a minimum average CVN value of 20 ft-lbf at 70°F in the alternate core loca-tion (S30 per ASTM A6) is also available . In addition A913 can be supplied with CVN values down to -58°F 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)

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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 32°F 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 32°F .

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 1290°F . For local superficial reheating of the surface only, the maximum flame straightening temperature is 1650°F .

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 980°F and 1080°F . 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 70°F 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

Page 15: American Structural Shapes

Structural Shapes – Page 13

ArcelorMittal’s U.S. Beam Stock

For those fast-track projects that just can’t 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 Railway’s 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 Arcelor’s 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 our technical service .

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

ChicagoVincent MondelliSales Manager Long ProductsPh . 312 899 3961vincent .mondelli@arcelormittal .comAnthony BryantProduct Manager Special sections & ASP inventoryPh . 312 899 3695anthony .bryant@arcelormittal .comTechnical ServicePh . 312 899 3960West Coast U.S./Canada10735 240 Street Maple Ridge, BC, Canada . V2W0B6Emiliano MoraSales managerPh . 604 476 0131Fax . 604 476 0132emiliano .mora@arcelormittal .com

Canada/BurlingtonAngelo CurcuruSales ManagerPh . 905 631 9500Cell . 905 320 6649Fax . 905 631 9505angelo .curcuru@arcelormittal .comMexico/QueretaroPrivada de los Industriales No . 110-A,Desp . 801-802, Col . Industrial Benito Juarez76100 Queretaro, Qro .MexicoJose BustosSales ManagerPh . (52) 442 218 2887Fax . (52) 442 218 1400jose .bustos@arcelormittal .com

Page 16: American Structural Shapes

Structural Shapes – Page 14 Subject to change without notice.

4 x 4 135 x 5 16 196 x 4 9 12 166 x 6 15 20 258 x 4 10 13 15

8 x 5 1/4 18 218 x 6 1/2 24 28

8 x 8 31 35 40 48 58 6710 x 4 12 15 17 19

10 x 5 3/4 22 26 3010 x 8 33 39 45

10 x 10 49 54 60 68 77 88 100 11212 x 4 14 16 19 22

12 x 6 1/2 26 30 3512 x 8 40 45 50

12 x 10 53 5812 x 12 65 72 79 87 96 106 120 136 152 170 190 210 23014 x 5 22 26

14 x 6 3/4 30 34 3814 x 8 43 48 53

14 x 10 61 68 74 8214 x 14 1/2 90 99 109 120 132

14 x 16 145 159 176 193 211 233 257 283 311 342 370 398 14 x 16 426 455 500 550 605 665 730

16 x 5 1/2 26 3116 x 7 36 40 45 50 57

16 x 10 1/4 67 77 89 10018 x 6 35 40 46

18 x 7 1/2 50 55 60 65 7118 x 11 76 86 97 106 119 130 143 158 175

21 x 6 1/2 44 50 5721 x 8 1/4 62 68 73 83 93

24 x 7 55 6224 x 9 68 76 84 94 103

24 x 12 3/4 104 117 131 146 162 176 192 207 229 250 279 306 335 370 27 x 10 84 94 102 114 129

30 x 10 1/2 90 99 108 116 124 132 148 33 x 11 1/2 118 130 141 152 169

36 x 12 135 150 160 170 182 194 21036 x 16 1/2 - old 230 245 260 280 300 328 359 393 439 527 650

40 x 12 149 167 183 211 235 264 278 294 331 392 40 x 16 199 215 249 277 297 324 362 372 397 431 503 593 44 x 16 230 262 290 335

WF BeamsSection Footweights

Underlined sizes are also available in a limited supply from our Arkansas stock .

3 5 .7 7 .54 7 .7 9 .55 106 12 .5 17 .257 15 .3 208 18 .4 23

10 25 .4 3512 31 .8 3512 40 .8 5015 42 .9 5018 54 .7 7020 66 7520 86 9624 80 90 10024 106 121

S – BeamsSection Footweights

6 15 .1 15 .37 19 .1 22 .78 18 .7 208 21 .4 22 .89 23 .9 25 .4

10 22 2510 28 .5 33 .6 41 .112 31 35 40 45 5018 42 .7 45 .8 51 .9 58

MC ChannelsSection Footweights

5 x 3 5/16

Unequal AnglesSection Footweights

2 x 2 3/16 1/43 x 3 1/4 5/16 3/8

3 1/2 x 3 1/2 1/4 5/16 3/84 x 4 5/16 3/8 7/165 x 5 5/16 3/8 7/16 1/26 x 6 3/8 7/16 1/2 6/16 5/88 x 1/2 9/16 5/8 3/4 7/8 9/16 1 1 1/8

AnglesSection Footweights

8 11 .5 13 .7510 15 .3 2012 20 .7 25

ChannelsSection Footweights

Page 17: American Structural Shapes

Structural Shapes – Page 15

A913 Project LocationWTC4 NEW YORK, NY250 WEST 55th ST NEW YORK, NYUNIVERSITY OF CHICAGO MEDICAL CENTER CHICAGO, ILFOUNTAINBLEAU CASINO LAS VEGAS, NVKAISER HOSPITAL OAKLAND, CADALLAS COWBOYS STADIUM ARLINGTON, TXWTC TRANSPORTATION HUB NEW YORK, NYCOLTS STADIUM INDIANAPOLIS, INTHE BOW CALGARY, ABMARLINS STADIUM MIAMI, FL5TH & COLUMBIA SEATTLE, WATEXAS STATION TRUSS RENO, NVPENNY LANE CALGARY, ALCARDINALS STADIUMS GLENDALE, AZ555 MISSION STREET SAN FRANCISCO, CACOSMOPOLITAN LAS VEGAS, NVSTANDARD HOTEL NEW YORK, NYLURIE HOSPITAL CHICAGO, IL155 WACKER CHICAGO, ILBOIENG 777 ASSEMBLY BULDING EVERETT, WAONE LONDON PLACE LONDON, ONBAY ADELAIDE CENTER TORONTO, ONAT&T BUILDING CANADAROSE GARDEN ARENA (TRAILBLAZERS) PORTLAND, ORGM PLACE (GRIZZLIES & CANUCKS) VANCOUVER, BCBALTIMORE CONVENTION CENTER BALTIMORE, MDTORONTO CONVENTION CENTER TORONTO, ONLAS VEGAS CLUB TOWER LAS VEGAS, NVCOREL CENTER (PALLADIUM ARENA) OTTAWA, ONAIOC BUILDING MONTREAL, QCMAYAGUEZ SHOPPING CENTER SAN JUAN, PRTRICO STEEL MILL DECATUR, ALBANK ONE STADIUM PHOENIX, ARPOTLACH NEW ORLEANS, LAKREMCO - OFFSHORE PLATFORMS CLEARFIELD, UTST . FRANCIS HOSPITAL LYNWOOD, CASAN AIRPORT PEDESTRIAN BRIDGE SAN DIEGO, CACHIRON LIFE SCIENCES BUILDING EMERYVILLE, CAADOBE SYSTEMS HD - PHASE II SAN JOSE, CABARUCH COLOGE NEW YORK, NYGLIDER OFFSHORE GULF OF MEXICOCONDE NAST - 4 TIMES SQUARE NEW YORK, NYBOSTON GARDENS BOSTON, MABROOKLYN RENAISSANCE NEW YORK, NYGLENDALE PLAZE GLENDALE, AZMGM 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 TORONTON, ONKAISER HOSPITAL SANTA CLARA, CABROWARD COUNTY CIVIC ARENA MIAMI, FLPROVIDENCE MALL PROVIDENCE, RIPOMONA SCIENCE BUILDING POMONA, CABUENA VENTURA MALL VENTURE, 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, CAMALKER HALL, U OF CALIFORNIA DAVIS, CAAURORA ARENA GRAND FORKS, NDNATIONWIDE ARENA ST . PAUL, MN

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, CAPRESBYTERIAN 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, ABNORTHWEST AIRLINE HANGAR DETROIT, MIVISA BUILDING SAN MATEO, CADEVOS PLACE CONVENTION CENTER GRAND RAPIDS, MIVIRGINIA BEACH CONVENTION CENTER RICHMOND, VACHILLIWACK ARENA CHILLIWACK, BCGUTHRIE THEATRE MINNEAPOLIS, MNSAVE-ON-FOODS MEMORIAL CENTRE VICTORIA, BCHEARST TOWER NEW YORK, NYUCLA, CNSI COURT OF SCIENCES BUILDING LOS ANGELES, CABROADWAY 655 SAN DIEGO, CAMIAMI PERFORMING 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 PAVILION PORTLAND, ORCONVENTION CENTER RALEIGH, NCEL CAMINO HOSPITAL MOUNTAIN VIEW, CAPHOENIX CONVENTION CENTER PHOENIX, CAMOMO CHICAGO, ILST . JAMES PROJECT BOSTON, MANYU - PALLADIUM NEW YORK, NY111 HUNTINGTON BOSTON, MAWEST ANGELES CATHEDRAL LOS ANGELES, CASHERATON GRAND BALLROOM SACRAMENTO, CAMORGAN 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 HISTAR® References

Page 18: American Structural Shapes

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 .²)Af Area of compression flange (in .²)Ix Moment of inertia of a section about the X – X axis (in .4)Sx Elastic section modulus about the X – X axis (in .³)Rx Radius of gyration with respect to the X – X axis (in .)Zx Plastic section modulus with respect to the X – X axis (in .³)Iy Moment of inertia of a section about the Y –Y axis (in .4)Sy Elastic section modulus about the Y – Y axis (in .³)ry Radius of gyration with respect to the Y – Y axis (in .)Zy Plastic section modulus with respect to the Y – Y axis (in .³)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

Page 19: American Structural Shapes

Structural Shapes – Page 17

W 4

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[in.6 ]

Page 20: American Structural Shapes

Structural Shapes – Page 18

W 3

6 x

12 x

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Sect

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Are

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Page 21: American Structural Shapes

Structural Shapes – Page 19

Sect

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Page 22: American Structural Shapes

Structural Shapes – Page 20

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80 .4

Page 23: American Structural Shapes

Structural Shapes – Page 21

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Page 24: American Structural Shapes

Structural Shapes – Page 22

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Page 25: American Structural Shapes

Structural Shapes – Page 23

Sect

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2 .80

Page 26: American Structural Shapes

Structural Shapes – Page 24

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655

Page 27: American Structural Shapes

Structural Shapes – Page 25

Sect

iona

l Pro

pert

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(Im

peria

l)Se

ctio

n D

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2

Page 28: American Structural Shapes

Structural Shapes – Page 26

Shap

es m

arke

d ‘ *

‘ req

uire

a m

inim

um o

f 50

MT

per s

ize (f

ootw

eight

) and

gra

de fo

r mill

orde

rs. M

any

popu

lar si

zes a

re a

vaila

ble

from

stoc

k in

the

U.S.

for o

rder

s les

s tha

n 50

MT

per s

ize.

Sect

iona

l Pro

pert

ies

(Met

ric)

Sect

ion

Des

igna

tion

Met

ric

Sect

ion

Des

igna

tion

Impe

rial

Are

a A

D

epth

d

Web

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nce

Com

pact

Sec

tion

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eria

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s X-

XA

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Tors

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l Pro

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able

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k. tw

tw/2

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IS

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[mm

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g/m

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n. x

lbs/

ft][m

m2 ]

[mm

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m]

[mm

][m

m]

[mm

][m

m]

[mm

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m]

[mm

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Page 29: American Structural Shapes

Structural Shapes – Page 27

Shap

es m

arke

d ‘ *

‘ req

uire

a m

inim

um o

f 50

MT

per s

ize (f

ootw

eight

) and

gra

de fo

r mill

orde

rs. M

any

popu

lar si

zes a

re a

vaila

ble

from

stoc

k in

the

U.S.

for o

rder

s les

s tha

n 50

MT

per s

ize.

Sect

iona

l Pro

pert

ies

(Met

ric)

Sect

ion

Des

igna

tion

Met

ric

Sect

ion

Des

igna

tion

Impe

rial

Are

a A

D

epth

d

Web

Flan

geD

ista

nce

Com

pact

Sec

tion

Crit

eria

Axi

s X-

XA

xis

Y-Y

Tors

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l Pr

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ties

Ava

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able

in

HIS

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Thic

k. tw

tw/2

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[mm

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4 x

1000

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m3 x

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m4 x

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m]

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Page 30: American Structural Shapes

Structural Shapes – Page 28

Sect

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Page 31: American Structural Shapes

Structural Shapes – Page 29

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Sect

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Page 32: American Structural Shapes

Structural Shapes – Page 30

Sect

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l Pro

pert

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(Met

ric)

Sect

ion

Des

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tion

Met

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38

Page 33: American Structural Shapes

Structural Shapes – Page 31

Sect

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pert

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(Met

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Sect

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Des

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Page 34: American Structural Shapes

Structural Shapes – Page 32

Sect

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Page 35: American Structural Shapes

Structural Shapes – Page 33

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5

Page 36: American Structural Shapes

Structural Shapes – Page 34

Sect

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.24

11

x 4 .

8x

3/16

0 .43

754 .

65 .

8122

.52

4 .89

1 .96

17 .4

58 .

674 .

570 .

471 .

3735

.05

22 .5

24 .

891 .

9617

.45

8 .67

4 .57

8 .74

1 .95

12 .2

41

0 .98

3L

51 x

51

x 9 .

5L

2 x

2 x

3/8

0 .62

57

8 .77

19 .4

65 .

581 .

4816

.05

10 .3

18 .

692 .

744 .

6726

.67

19 .4

65 .

581 .

4816

.05

10 .3

18 .

698 .

452 .

369 .

801

1x

7 .9

x 5/

160 .

5625

5 .8

7 .42

16 .6

84 .

711 .

515

.47

8 .80

7 .37

1 .64

2 .85

26 .9

216

.68

4 .71

1 .5

15 .4

78 .

807 .

377 .

202 .

009 .

801

1x

6 .4

x 1/

40 .

54 .

76 .

0514

.04

3 .9

1 .53

14 .8

87 .

215 .

990 .

871 .

5427

.43

14 .0

43 .

91 .

5314

.88

7 .21

5 .99

5 .87

1 .64

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11

x 4 .

8x

3/16

0 .43

753 .

64 .

6111

.19

3 .06

1 .55

14 .2

55 .

544 .

570 .

380 .

6827

.69

11 .1

93 .

061 .

5514

.25

5 .54

4 .57

4 .54

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11

x 3 .

2x

1/8

0 .37

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43 .

127 .

21 .

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5313

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3 .77

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0 .12

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21 .

921 .

5313

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3 .77

3 .12

3 .13

0 .87

9 .93

10 .

912

Page 37: American Structural Shapes

Structural Shapes – Page 35

3849 3346 3011 2648 5772 4953 4524 4251 4134 3717 3409 3175

3582 3114 2799 2459 5402 4628 4227 3967 3859 3466 3176 29613524 3063 2753 2418 5322 4558 4163 3906 3799 3411 3126 29153462 3010 2705 2375 5238 4483 4095 3840 3736 3354 3072 28663397 2953 2653 2329 5149 4405 4023 3772 3670 3293 3016 28143329 2894 2599 2280 5055 4322 3948 3700 3600 3229 2956 2760

3257 2832 2542 2229 4958 4236 3869 3624 3527 3162 2894 27033183 2767 2483 2177 4856 4146 3787 3545 3450 3093 2830 26443105 2699 2422 2122 4750 4053 3702 3464 3371 3020 2762 25823024 2629 2358 2064 4640 3956 3613 3379 3289 2945 2692 25182941 2557 2292 2005 4526 3855 3521 3290 3204 2867 2620 2452

2854 2481 2223 1944 4408 3751 3426 3199 3115 2786 2545 23832765 2404 2152 1880 4287 3644 3328 3105 3024 2703 2468 23122673 2324 2079 1815 4162 3533 3227 3008 2930 2617 2388 22392578 2241 2004 1748 4033 3419 3123 2908 2833 2529 2306 21642480 2156 1926 1678 3900 3302 3016 2805 2734 2437 2221 2086

2275 1978 1764 1533 3623 3057 2792 2590 2526 2247 2044 19242059 1790 1592 1378 3330 2798 2555 2363 2305 2045 1856 17531829 1590 1410 1215 3021 2524 2305 2123 2073 1832 1658 15721590 1382 1222 1050 2695 2235 2041 1868 1827 1607 1449 13801385 1204 1065 915 2360 1950 1781 1628 1592 1400 1262 1202

1217 1058 936 804 2074 1713 1565 1431 1399 1230 1109 10571078 937 829 712 1837 1518 1386 1267 1239 1090 983 936962 836 740 635 1639 1354 1237 1130 1105 972 876 835863 751 664 570 1471 1215 1110 1015 992 872 787 749779 677 599 515 1327 1097 1002 916 895 787 710 676

707 614 543 467 1204 995 909 830 812 714 644 613644 560 495 425 1097 906 828 757 740 651 587 559589 512 453 389 1004 829 757 692 677 595 537 511541 470 416 357 922 762 696 636 622 547 493 470499 433 383 329 850 702 641 586 573 504 454 433

891 707 610 505 1971 1551 1437 1218 1229 1036 926 74266 57 51 46 100 87 79 75 73 65 60 54

910 564 424 307 3531 2326 1778 1509 1376 979 788 5531273 1014 819 605 3095 2263 1966 1707 1641 1331 1106 101412 .5 12 .4 12 .4 11 .5 12 .9 12 .7 12 .7 12 .6 12 .6 12 .5 12 .4 12 .416 .4 14 .7 13 .2 11 .5 27 .6 23 .8 22 .2 20 .8 20 .4 18 .4 16 .8 16 .298 .7 85 .8 77 .2 67 .9 148 127 117 109 107 95 .3 87 .4 81 .3

31,197 27,171 24,246 20,937 41,607 34,849 32,000 29,600 28,900 25,600 23,200 21,8831201 1045 924 796 2045 1688 1540 1420 1380 1220 1090 10443 .49 3 .49 3 .46 3 .42 3 .72 3 .65 3 .65 3 .60 3 .61 3 .57 3 .54 3 .585 .09 5 .10 5 .12 5 .13 4 .51 4 .54 4 .55 4 .58 4 .57 4 .59 4 .60 4 .58

0 .070 0 .069 0 .069 0 .070 0 .075 0 .075 0 .074 0 .075 0 .075 0 .074 0 .075 0 .0740 .654 0 .650 0 .660 0 .672 0 .594 0 .611 0 .607 0 .618 0 .613 0 .623 0 .633 0 .6174649 4051 3612 3120 6209 5202 4763 4438 4300 3819 3460 3262179 156 138 118 305 252 230 211 206 181 163 155

3278 3286 3256 3198 2920 2851 2858 2823 2823 2789 2755 2789126 126 124 121 144 138 138 134 135 132 130 133

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W44x16 W40x16

Wt./ft 335 290 262 230 503 431 397 372 362 324 297 277

Fy

65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties and Reaction Values

UPwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lc (ft)Lu (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryBxByax/106

ay/106

F’ex(KxLx)2/102 (kips)F’ey(KyLy)2/102 (kips)

Page 38: American Structural Shapes

Structural Shapes – Page 36

2859 2473 2282 4485 3803 3190 3023 2691 2418 2098 1919

2664 2304 2121 4039 3411 2853 2703 2409 2161 1874 17022622 2267 2086 3938 3322 2776 2630 2346 2103 1823 16532578 2228 2049 3831 3227 2695 2553 2278 2040 1769 16002530 2188 2009 3717 3127 2608 2471 2205 1974 1711 15442481 2145 1968 3597 3021 2517 2385 2129 1905 1650 1485

2429 2100 1925 3472 2910 2421 2294 2049 1832 1586 14232375 2053 1880 3340 2794 2320 2198 1965 1755 1519 13582319 2004 1833 3202 2672 2215 2099 1878 1675 1449 12902260 1953 1785 3059 2546 2105 1995 1786 1591 1376 12182200 1901 1734 2909 2413 1991 1886 1691 1504 1300 1144

2137 1846 1682 2754 2276 1872 1774 1592 1413 1221 10672073 1790 1628 2593 2133 1748 1656 1489 1318 1138 9862006 1732 1573 2425 1985 1619 1534 1382 1220 1053 9021937 1673 1515 2251 1830 1485 1407 1270 1118 963 8141867 1611 1456 2070 1669 1347 1276 1154 1013 872 735

1719 1483 1333 1717 1380 1113 1054 954 837 720 6071562 1347 1202 1443 1159 935 886 801 703 605 5101397 1203 1063 1230 988 797 755 683 599 516 4351222 1051 921 1060 852 687 651 589 517 445 3751064 915 802 924 742 599 567 513 450 387 327

936 805 705 812 652 526 498 451 396 341 287829 713 625 719 578 466 442 399 350 302 254739 636 557 641 515 416 394 356 313 269 227663 571 500 576 462 373 353 320 281 241 204599 515 451 519 417 337 319 289 253 218 184

543 467 409 471 379 305 289 262495 426 373 429453 389 341416 358 313383 330 289

640 502 475 1702 1313 995 917 742 640 502 46249 42 42 92 79 66 62 54 49 42 42

408 266 266 2768 1756 1026 855 553 408 266 266819 605 465 2580 1843 1331 1216 1014 819 605 43112 .4 12 .4 11 .1 9 .7 9 .6 9 .4 9 .4 9 .3 9 .3 9 .3 8 .014 .6 12 .6 11 .2 19 .2 16 .3 13 .8 13 .2 12 .1 10 .9 9 .5 8 .173 .3 63 .4 58 .5 115 97 .5 81 .9 77 .5 69 .0 62 .0 53 .8 49 .2

19,558 16,734 14,894 29,937 24,697 20,496 19,415 17,372 15,479 13,306 11,573926 796 695 803 644 522 493 444 390 336 2833 .55 3 .54 3 .45 2 .64 2 .57 2 .52 2 .52 2 .54 2 .51 2 .50 2 .404 .60 4 .59 4 .63 6 .11 6 .19 6 .28 6 .28 6 .25 6 .29 6 .29 6 .39

0 .074 0 .074 0 .076 0 .080 0 .081 0 .080 0 .080 0 .079 0 .079 0 .079 0 .0820 .621 0 .628 0 .665 0 .887 0 .920 0 .941 0 .934 0 .920 0 .939 0 .944 1 .0252912 2494 2220 4464 3677 3054 2890 2589 2306 1983 1725138 118 104 120 96 77 73 66 58 50 42

2765 2738 2642 2695 2625 2595 2595 2612 2589 2566 2440131 130 123 72 68 66 66 67 65 65 60

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W40x16 W40x12

Wt./ft 249 215 199 392 331 278 264 235 211 183 167

Fy

65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties and Reaction Values

UPwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lc (ft)Lu (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryBxByax/106

ay/106

F’ex(KxLx)2/102 (kips)F’ey(KyLy)2/102 (kips)

Page 39: American Structural Shapes

Structural Shapes – Page 37

7410 6006 5027 4508 4111 3760 3444 3214 2984 2808 2636

6992 5657 4726 4236 3859 3528 3231 3014 2796 2630 24686903 5582 4662 4178 3805 3478 3185 2971 2756 2591 24326809 5503 4594 4116 3748 3426 3137 2925 2713 2551 23936710 5420 4522 4051 3688 3370 3086 2877 2668 2508 23536607 5333 4447 3983 3625 3312 3032 2827 2621 2463 2310

6498 5242 4368 3912 3559 3251 2977 2775 2572 2416 22666386 5148 4286 3837 3490 3188 2918 2720 2520 2367 22196269 5049 4201 3760 3419 3122 2858 2663 2467 2316 21716147 4948 4113 3680 3345 3054 2795 2604 2411 2263 21216022 4842 4022 3597 3268 2983 2730 2543 2354 2209 2069

5892 4733 3927 3512 3189 2910 2663 2479 2294 2152 20165758 4621 3830 3423 3107 2835 2593 2414 2233 2094 19615621 4505 3730 3332 3022 2757 2522 2347 2170 2034 19045479 4385 3626 3238 2936 2677 2448 2278 2105 1971 18455333 4263 3520 3142 2846 2595 2373 2206 2038 1908 1785

5030 4007 3299 2941 2660 2423 2215 2058 1898 1775 16594711 3738 3065 2729 2464 2242 2048 1901 1751 1634 15254375 3456 2820 2506 2257 2051 1872 1736 1595 1486 13854023 3158 2561 2271 2039 1850 1687 1562 1431 1329 12373654 2846 2289 2024 1809 1638 1492 1378 1259 1167 1084

3266 2520 2016 1781 1590 1440 1312 1211 1107 1025 9522893 2233 1786 1577 1409 1275 1162 1073 981 908 8442581 1991 1593 1407 1257 1137 1036 957 875 810 7532316 1787 1430 1263 1128 1021 930 859 785 727 6752090 1613 1290 1140 1018 921 840 775 708 656 610

1896 1463 1170 1034 923 836 761 703 643 595 5531728 1333 1066 942 841 761 694 641 586 542 5041581 1220 976 862 770 697 635 586 536 496 4611452 1120 896 791 707 640 583 538 492 456 4231338 1032 826 729 651 590 537 496 453 420 390

2881 .1 2027 .6 1492 1239 1069 932 810 723 648 601 540128 105 88 79 73 66 62 58 55 52 49

8022 .8 4379 .3 2640 1906 1474 1114 900 740 622 537 4615091 3440 .2 2419 1966 1641 1390 1147 1001 842 740 64513 .8 13 .5 13 .3 13 .2 13 .1 13 .1 13 .1 13 .0 13 .0 13 .0 12 .939 .4 32 .8 27 .7 25 .1 23 .1 21 .3 19 .5 18 .3 16 .9 15 .8 14 .8191 155 129 116 105 96 .4 88 .3 82 .4 76 .5 72 .0 67 .6

48,875 38,288 31,021 27,489 24,760 22,493 20,347 18,874 17,267 16,136 15,0203225 2489 1993 1754 1573 1421 1296 1198 1090 1014 9404 .11 4 .01 3 .93 3 .90 3 .86 3 .84 3 .83 3 .81 3 .78 3 .75 3 .733 .89 3 .92 3 .95 3 .95 3 .97 3 .98 3 .96 3 .97 3 .98 3 .99 3 .99

0 .079 0 .079 0 .079 0 .080 0 .080 0 .079 0 .080 0 .080 0 .080 0 .081 0 .0810 .520 0 .535 0 .549 0 .556 0 .561 0 .564 0 .566 0 .572 0 .580 0 .585 0 .593

7285 .5 5703 .4 4620 4096 3691 3354 3032 2811 2575 2404 2236481 371 297 262 234 212 193 178 163 151 140

2654 .8 2565 .9 2495 2466 2437 2421 2390 2374 2343 2324 2302175 167 160 158 155 153 152 151 148 146 144

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W36x16.5

Wt./ft 650 527 439 393 359 328 300 280 260 245 230

Fy

65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties and Reaction Values

UPwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lc (ft)Lu (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryBxByax/106

ay/106

F’ex(KxLx)2/102 (kips)F’ey(KyLy)2/102 (kips)

Page 40: American Structural Shapes

Structural Shapes – Page 38

7488 6084 5577 5070 4524 4134 3783 3463 3233 3003 2828 2656

7063 5728 5246 4766 4249 3880 3549 3249 3031 2813 2648 24856972 5652 5176 4701 4190 3826 3499 3202 2988 2772 2609 24486877 5571 5101 4632 4128 3768 3446 3154 2942 2729 2568 24096776 5487 5022 4559 4062 3707 3390 3102 2894 2683 2524 23686671 5398 4940 4483 3993 3644 3331 3048 2843 2635 2479 2325

6561 5305 4854 4403 3921 3577 3270 2992 2790 2585 2431 22806446 5209 4764 4320 3846 3508 3206 2933 2735 2533 2382 22336327 5108 4670 4234 3768 3436 3139 2872 2677 2479 2330 21846203 5004 4574 4145 3687 3361 3070 2808 2617 2423 2277 21336076 4897 4473 4053 3603 3283 2999 2743 2556 2364 2222 2081

5944 4785 4370 3957 3517 3203 2925 2675 2492 2304 2165 20265808 4671 4263 3858 3427 3121 2849 2605 2426 2242 2106 19705667 4552 4153 3757 3335 3036 2770 2533 2358 2178 2045 19125523 4431 4040 3652 3240 2948 2689 2458 2288 2112 1982 18525375 4306 3923 3545 3143 2858 2606 2382 2216 2044 1917 1791

5066 4045 3680 3320 2939 2670 2433 2222 2066 1902 1783 16634741 3770 3425 3084 2725 2471 2250 2054 1907 1752 1641 15284399 3481 3155 2835 2499 2262 2057 1877 1740 1595 1491 13854041 3178 2872 2573 2262 2042 1854 1690 1564 1428 1332 12343664 2858 2575 2298 2011 1810 1640 1493 1379 1254 1168 1080

3269 2528 2271 2023 1769 1591 1441 1312 1212 1102 1027 9492895 2239 2012 1792 1567 1409 1276 1162 1074 977 910 8412583 1997 1794 1598 1397 1257 1139 1037 958 871 811 7502318 1793 1610 1435 1254 1128 1022 931 860 782 728 6732092 1618 1453 1295 1132 1018 922 840 776 706 657 608

1897 1467 1318 1174 1027 924 836 762 704 640 596 5511729 1337 1201 1070 935 842 762 694 641 583 543 5021582 1223 1099 979 856 770 697 635 587 534 497 4591453 1123 1009 899 786 707 640 583 539 490 456 4221339 1035 930 829 724 652 590 538 497 452 421 389

2761 .1 1929 .5 1675 .8 1408 .9 1164 .7 1001 870 .19 744 .66 686 .97 597 .19 552 .5 494128 105 98 88 79 73 66 61 58 55 52 49

7776 4244 .6 3432 .7 2558 .4 1846 .9 1428 .9 1079 .3 844 .77 717 .01 602 .83 520 .75 446 .485091 3440 .2 2917 .9 2418 .7 1966 .3 1641 .3 1390 .4 1146 .6 1001 .4 842 .4 740 .39 644 .9613 .8 13 .5 13 .4 13 .3 13 .2 13 .1 13 .0 13 .1 13 .0 13 .0 13 .0 12 .938 .8 32 .2 29 .9 27 .3 24 .7 22 .7 20 .9 19 .2 18 .0 16 .6 15 .6 14 .6192 156 143 130 116 106 97 .0 88 .8 82 .9 77 .0 72 .5 68 .1

50,600 39,600 36,000 32,100 28,500 25,700 23,300 21,100 19,600 17,900 16,700 15,6003230 2490 2250 1990 1750 1570 1420 1300 1200 1090 1010 9404 .10 4 .00 3 .96 3 .92 3 .88 3 .85 3 .83 3 .82 3 .80 3 .76 3 .74 3 .713 .95 4 .00 3 .99 4 .01 4 .05 4 .05 4 .05 4 .03 4 .05 4 .07 4 .06 4 .07

0 .078 0 .0784 0 .0781 0 .0788 0 .0779 0 .0785 0 .0782 0 .0786 0 .079 0 .0792 0 .0794 0 .07970 .5232 0 .5398 0 .5437 0 .5532 0 .5577 0 .5638 0 .5673 0 .5692 0 .5757 0 .5833 0 .5894 0 .59747508 5950 5319 4775 4260 3844 3472 3138 2929 2686 2496 2314481 372 334 298 260 234 212 193 178 162 151 140

2722 2655 2589 2556 2556 2524 2491 2459 2459 2428 2396 2365174 166 163 159 156 154 152 151 150 147 145 143

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W36x16.5

Wt./ft 652 529 487 441 395 361 330 302 282 262 247 231

Fy

65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties and Reaction Values

UPwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lc (ft)Lu (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryBxByax/106

ay/106

F’ex(KxLx)2/102 (kips)F’ey(KyLy)2/102 (kips)

Page 41: American Structural Shapes

Structural Shapes – Page 39

2410 2223 2090 1950 1833 1724

2163 1993 1873 1745 1637 15372107 1941 1824 1698 1593 14942048 1885 1771 1649 1545 14491984 1826 1715 1596 1495 14001918 1764 1656 1541 1442 1350

1848 1699 1595 1482 1386 12961774 1630 1530 1421 1327 12401698 1559 1462 1357 1266 11821618 1484 1392 1291 1202 11201535 1406 1318 1221 1136 1057

1448 1325 1242 1149 1067 9901358 1241 1162 1074 995 9211265 1154 1079 995 919 8491167 1063 993 914 841 7741066 968 904 830 762 699

881 800 747 686 629 578741 673 627 576 529 485631 573 535 491 451 414544 494 461 423 389 357474 430 402 369 338 311

417 378 353 324 297 273369 335 313 287 264 242329 299 279 256 235 216295 268 250 230 211 194267 242 226 207 190 175

242 220 205 188

573 501 460 414 370 34654 50 47 44 42 41

583 465 396 320 280 255751 645 566 492 423 3599 .6 9 .5 9 .5 9 .4 8 .7 8 .1

11 .6 10 .7 10 .1 9 .4 8 .7 8 .161 .8 57 .0 53 .6 50 .0 47 .0 44 .2

13,192 12,113 11,311 10,499 9755 9040411 375 347 320 295 2702 .58 2 .56 2 .55 2 .53 2 .50 2 .475 .66 5 .70 5 .70 5 .72 5 .76 5 .79

0 .086 0 .086 0 .086 0 .086 0 .087 0 .0880 .909 0 .919 0 .924 0 .943 0 .959 0 .9821966 1805 1686 1562 1452 1347

61 56 52 48 44 402214 2204 2189 2174 2150 2121

69 68 67 66 65 63

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W36x12

Wt./ft 210 194 182 170 160 150

Fy

65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties and Reaction Values

UPwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lc (ft)Lu (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryBxByax/106

ay/106

F’ex(KxLx)2/102 (kips)F’ey(KyLy)2/102 (kips)

Page 42: American Structural Shapes

Structural Shapes – Page 40

8385 7644 6942 6318 5733 5226 4875 4563 4251 3939 3565 3249

7982 7269 6595 5997 5437 4953 4617 4320 4022 3725 3368 30687897 7191 6523 5930 5375 4895 4563 4268 3973 3679 3327 30307808 7108 6446 5859 5309 4834 4505 4214 3922 3631 3283 29897715 7021 6365 5784 5240 4770 4445 4157 3868 3581 3236 29477618 6931 6281 5706 5168 4703 4381 4097 3811 3528 3188 2902

7516 6836 6193 5624 5092 4633 4315 4034 3752 3473 3137 28557410 6737 6102 5540 5014 4561 4247 3969 3691 3415 3084 28077300 6635 6007 5452 4932 4485 4175 3902 3627 3355 3030 27567187 6529 5909 5360 4848 4407 4101 3832 3561 3294 2973 27047070 6420 5807 5266 4761 4326 4025 3760 3493 3230 2914 2650

6948 6307 5702 5169 4671 4242 3946 3685 3422 3164 2854 25946824 6191 5594 5069 4578 4156 3864 3608 3350 3096 2791 25376695 6071 5483 4965 4482 4068 3781 3529 3275 3025 2727 24776563 5948 5369 4859 4384 3977 3694 3447 3198 2953 2661 24166428 5822 5251 4750 4283 3883 3606 3363 3119 2879 2592 2354

6147 5559 5007 4524 4073 3688 3422 3189 2954 2725 2451 22235851 5284 4751 4286 3853 3484 3228 3006 2781 2563 2302 20865542 4996 4483 4036 3622 3269 3025 2814 2599 2392 2145 19425219 4694 4202 3775 3380 3045 2812 2613 2409 2214 1981 17904882 4379 3909 3503 3127 2810 2590 2402 2209 2027 1809 1632

4530 4050 3602 3217 2862 2563 2356 2181 2000 1831 1629 14654163 3706 3282 2919 2585 2306 2112 1950 1783 1629 1446 12993779 3347 2949 2613 2308 2057 1884 1739 1590 1453 1290 11593396 3004 2646 2345 2072 1846 1691 1561 1427 1304 1158 10403065 2711 2388 2117 1870 1666 1526 1409 1288 1177 1045 939

2780 2459 2166 1920 1696 1511 1384 1278 1168 1067 948 8522533 2241 1974 1749 1545 1377 1261 1164 1065 973 864 7762318 2050 1806 1601 1414 1260 1154 1065 974 890 790 7102129 1883 1659 1470 1298 1157 1060 978 895 817 726 6521962 1735 1529 1355 1197 1066 977 902 824 753 669 601

5550 4771 4059 3481 2981 2538 2248 2014 1782 1564 1346 1153200 185 169 155 143 131 122 116 108 100 92 85

85,010 66,600 51,340 39,610 30,860 24,030 19,370 16,290 13,320 10,730 8237 63079794 8301 7030 5928 4976 4186 3743 3288 2874 2479 2075 174114 .1 13 .9 13 .7 13 .5 13 .4 13 .2 13 .1 13 .0 12 .9 12 .9 12 .7 12 .7

102 .5 95 .0 88 .4 82 .7 77 .7 73 .3 69 .3 65 .7 62 .5 59 .6 54 .6 51 .3215 196 178 162 147 134 125 117 109 101 91 .4 83 .3

14,300 12,400 10,800 9430 8210 7190 6600 6000 5440 4900 4330 38404720 4170 3680 3250 2880 2560 2360 2170 1990 1810 1610 14404 .69 4 .62 4 .55 4 .49 4 .43 4 .38 4 .34 4 .31 4 .27 4 .24 4 .20 4 .171 .74 1 .73 1 .71 1 .70 1 .69 1 .67 1 .67 1 .66 1 .66 1 .65 1 .64 1 .63

0 .168 0 .170 0 .171 0 .174 0 .175 0 .177 0 .177 0 .178 0 .180 0 .181 0 .181 0 .1810 .408 0 .415 0 .421 0 .429 0 .434 0 .441 0 .442 0 .447 0 .452 0 .457 0 .459 0 .4652138 1860 1614 1405 1225 1073 982 894 812 733 645 572705 623 549 487 430 383 351 324 296 271 240 216692 660 631 604 580 557 547 532 518 505 491 478228 221 215 209 204 199 195 193 189 186 183 180

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W14x16

Wt./ft 730 665 605 550 500 455 426 398 370 342 311 283

Fy

65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties and Reaction Values

UPwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lc (ft)Lu (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryBxByax/106

ay/106

F’ex(KxLx)2/102 (kips)F’ey(KyLy)2/102 (kips)

Page 43: American Structural Shapes

Structural Shapes – Page 41

2948 2672 2418 2215 2020 1821 1665 1513 1377 1248 1135 1034

2783 2520 2279 2088 1903 1715 1567 1418 1289 1168 1062 9672747 2488 2250 2060 1878 1692 1546 1397 1270 1151 1046 9522710 2453 2219 2032 1851 1668 1524 1375 1250 1133 1030 9372671 2418 2186 2001 1823 1643 1501 1352 1229 1114 1012 9212630 2380 2152 1970 1794 1616 1476 1328 1207 1094 993 904

2587 2341 2116 1936 1763 1588 1451 1303 1184 1073 974 8872542 2300 2078 1902 1732 1559 1424 1276 1160 1051 954 8682496 2257 2039 1866 1698 1529 1396 1249 1135 1028 933 8492448 2213 1999 1829 1664 1498 1368 1221 1109 1004 911 8292398 2168 1957 1790 1629 1466 1338 1191 1082 980 889 809

2346 2121 1914 1750 1592 1433 1307 1161 1054 954 866 7882293 2072 1870 1709 1554 1398 1276 1130 1025 928 842 7662239 2022 1824 1667 1515 1363 1243 1097 996 901 817 7432183 1970 1777 1624 1475 1326 1210 1064 965 873 792 7202125 1918 1728 1579 1434 1289 1175 1030 934 845 765 696

2005 1807 1628 1486 1348 1211 1103 958 868 785 711 6461878 1691 1521 1388 1257 1129 1027 883 799 722 653 5931745 1570 1410 1285 1162 1042 948 803 726 656 592 5371606 1442 1293 1177 1062 951 864 720 649 585 527 4781459 1307 1169 1063 957 856 776 632 569 513 462 418

1305 1166 1040 944 848 757 685 556 500 451 406 3671157 1033 921 836 751 670 607 492 443 399 359 3251032 921 822 745 670 598 541 439 395 356 320 290926 827 738 669 601 537 486 394 355 320 288 261836 746 666 604 543 484 438 356 320 289 260 235

758 677 604 548 492 439 398 322 290 262 235 213691 617 550 499 448 400 362 294 264 238 215 194632 564 503 457 410 366 331 269 242 218 196 178580 518 462 419 377 336 304 247 222 200 180 163535 478 426 386 347 310 281 228 205 185 166 150

979 826 716 615 540 454 387 354 312 267 226 19677 70 64 59 55 48 44 42 39 34 31 29

4767 3600 2765 2072 1681 1215 924 790 600 430 340 2501451 1203 989 842 697 576 482 432 359 300 247 20512 .6 12 .5 12 .4 12 .3 12 .3 12 .2 12 .2 11 .6 11 .5 11 .5 11 .4 11 .447 .5 43 .5 40 .1 37 .7 34 .7 31 .7 29 .1 26 .4 24 .4 22 .5 20 .5 18 .975 .6 68 .5 62 .0 56 .8 51 .8 46 .7 42 .7 38 .8 35 .3 32 .0 29 .1 26 .53400 3010 2660 2400 2140 1900 1710 1530 1380 1240 1110 9991290 1150 1030 931 838 748 677 548 495 447 402 3624 .13 4 .10 4 .07 4 .05 4 .02 4 .00 3 .98 3 .76 3 .74 3 .73 3 .71 3 .701 .62 1 .62 1 .61 1 .60 1 .60 1 .60 1 .59 1 .67 1 .67 1 .67 1 .66 1 .66

0 .182 0 .183 0 .183 0 .183 0 .184 0 .184 0 .184 0 .186 0 .186 0 .185 0 .185 0 .1850 .470 0 .472 0 .477 0 .477 0 .484 0 .485 0 .489 0 .521 0 .523 0 .523 0 .527 0 .531507 449 396 358 319 283 255 228 .0 204 .8 184 .5 165 .1 148 .9192 172 153 139 125 111 101 81 .7 73 .6 66 .3 59 .7 54 .1467 456 445 438 429 422 416 409 404 401 395 391177 174 172 170 168 166 164 147 145 144 143 142

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W14x16 W14x14.5

Wt./ft 257 233 211 193 176 159 145 132 120 109 99 90

Fy

65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties and Reaction Values

UPwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lc (ft)Lu (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryBxByax/106

ay/106

F’ex(KxLx)2/102 (kips)F’ey(KyLy)2/102 (kips)

Page 44: American Structural Shapes

Structural Shapes – Page 42

2640 2410 2176 1950 1743 1556 1377 1217 1100 998 905 823 745

2444 2229 2011 1800 1608 1433 1267 1119 1011 917 830 755 6832401 2189 1974 1767 1578 1406 1243 1097 991 899 814 740 6692356 2147 1936 1732 1546 1378 1217 1074 970 879 796 724 6542307 2103 1895 1695 1512 1347 1190 1050 948 859 778 707 6392257 2056 1852 1656 1477 1315 1161 1025 924 838 758 689 622

2204 2007 1807 1615 1440 1282 1131 998 900 815 737 670 6052149 1956 1761 1573 1402 1247 1100 970 875 792 716 650 5872091 1902 1712 1528 1361 1211 1067 941 848 768 694 630 5692031 1847 1661 1482 1320 1173 1033 910 820 742 671 609 5491969 1789 1608 1435 1276 1134 998 879 792 716 646 587 529

1905 1730 1554 1385 1231 1093 961 846 762 689 621 564 5081838 1668 1498 1334 1185 1051 924 813 731 660 596 540 4871770 1605 1439 1281 1137 1007 885 778 699 631 569 516 4641699 1539 1379 1226 1087 962 844 742 666 601 541 491 4411626 1472 1317 1170 1036 916 802 704 632 570 513 465 417

1473 1330 1187 1052 929 819 715 626 561 504 453 410 3671310 1179 1049 926 815 715 622 543 485 434 389 351 3141138 1020 904 795 698 611 531 463 413 370 331 299 267981 879 780 686 602 527 457 399 356 319 285 258 230855 766 679 597 524 459 398 348 310 278 249 225 201

751 673 597 525 461 403 350 306 273 244 219 197 176665 596 529 465 408 357 310 271 242 216 194 175 156594 532 472 415 364 319 277 241 215 193 173 156 139533 477 423 372 327 286 248 217 193 173 155 140 125481 431 382 336 295 258 224 196 175 156 140 126 113

436 391 346 305 267 234 203 177 158 142 127 115 102397 356 316 278 244 213 185 162 144 129 116 104 93364 326 289 254 223 195 169 148 132 118 106 96 85334 299 265 233 205 179 156 136 121 109 97 88 78308 276 244 215 189 165 143 125 112 100 90 81 72

1148 1006 840 702 601 498 419 334 290 251 220 192 16683 77 69 62 57 52 47 40 36 34 31 29 26

7380 5720 4140 3080 2290 1716 1245 790 579 475 361 277 2061741 1466 1223 989 797 634 497 398 329 267 220 182 14810 .1 10 .0 10 .0 9 .9 9 .8 9 .7 9 .7 9 .6 9 .6 9 .5 9 .5 9 .5 9 .445 .8 42 .0 39 .4 35 .6 32 .5 29 .5 26 .7 24 .0 22 .1 20 .0 18 .4 16 .9 15 .467 .7 61 .8 55 .8 50 .0 44 .7 39 .9 35 .3 31 .2 28 .2 25 .6 23 .2 21 .1 19 .12420 2140 1890 1650 1430 1240 1070 933 833 740 662 597 533742 664 589 517 454 398 345 301 270 241 216 195 1743 .31 3 .28 3 .25 3 .22 3 .19 3 .16 3 .13 3 .11 3 .09 3 .07 3 .05 3 .04 3 .021 .80 1 .80 1 .79 1 .78 1 .77 1 .77 1 .76 1 .76 1 .76 1 .75 1 .75 1 .75 1 .75

0 .211 0 .212 0 .212 0 .213 0 .214 0 .215 0 .217 0 .215 0 .215 0 .217 0 .217 0 .217 0 .2170 .589 0 .594 0 .600 0 .608 0 .614 0 .621 0 .630 0 .633 0 .635 0 .645 0 .648 0 .651 0 .656360 319 .5 281 .6 245 .5 213 .4 185 .1 159 .7 139 .1 124 .3 110 .4 98 .6 88 .6 79 .3111 99 .1 87 .8 77 .2 67 .8 59 .4 51 .5 45 .0 40 .1 36 .0 32 .2 29 .1 26 .0370 360 351 342 332 323 315 310 307 300 296 292 289114 112 110 108 106 104 102 100 99 97 .7 96 .5 95 .8 94 .6

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W12x12

Wt./ft 230 210 190 170 152 136 120 106 96 87 79 72 65

Fy

65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties and Reaction Values

UPwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lc (ft)Lu (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryBxByax/106

ay/106

F’ex(KxLx)2/102 (kips)F’ey(KyLy)2/102 (kips)

Page 45: American Structural Shapes

Structural Shapes – Page 43

5450 4740 4270 3750 8180 7020 6410 6022 5860 5270 4830 4500

5240 4550 4090 3600 7890 6760 6180 5798 5640 5070 4640 43305160 4490 4030 3540 7790 6670 6090 5719 5560 5000 4580 42705070 4410 3960 3480 7680 6570 6000 5629 5480 4920 4500 42004980 4330 3890 3410 7550 6460 5900 5528 5380 4830 4420 41204870 4240 3800 3340 7410 6330 5780 5419 5270 4730 4330 4040

4760 4140 3710 3260 7250 6200 5660 5300 5160 4620 4230 39504640 4030 3620 3170 7090 6050 5530 5173 5030 4510 4130 38604510 3920 3520 3080 6920 5900 5390 5038 4900 4390 4010 37504380 3800 3410 2980 6740 5740 5240 4896 4770 4270 3900 36504230 3680 3300 2880 6550 5570 5090 4749 4620 4140 3780 3540

4090 3560 3180 2780 6350 5390 4930 4596 4480 4000 3650 34203940 3430 3070 2680 6140 5210 4760 4438 4320 3860 3520 33003790 3290 2940 2570 5930 5030 4590 4277 4170 3720 3390 31803630 3160 2820 2460 5720 4840 4420 4113 4010 3570 3260 30603480 3020 2700 2350 5510 4650 4250 3947 3850 3430 3120 2930

3170 2750 2450 2130 5070 4270 3900 3612 3520 3130 2850 26802850 2480 2210 1910 4630 3880 3550 3278 3200 2840 2570 24302550 2220 1970 1700 4190 3500 3200 2949 2880 2550 2310 21802260 1960 1740 1500 3770 3140 2860 2631 2570 2270 2050 19501980 1720 1520 1310 3360 2780 2540 2326 2270 2000 1800 1720

1740 1510 1340 1150 2960 2450 2240 2044 2000 1760 1580 15101540 1340 1180 1020 2630 2170 1980 1811 1770 1560 1400 13401370 1190 1060 908 2340 1930 1770 1615 1580 1390 1250 11901230 1070 948 815 2100 1740 1590 1449 1420 1250 1120 10701110 968 856 735 1900 1570 1430 1308 1280 1120 1010 966

1010 878 776 667 1720 1420 1300 1187 1160 1020 920 876920 800 707 608 1570 1290 1180 1081 1060 930 838 798842 732 647 556 1430 1180 1080 989 967 850 767 731773 672 594 511 1320 1090 994 908 888 781 704 671712 619 548 471 1210 1000 916 837 819 720 649 618

849 670 567 464 1972 1542 1340 1218 1161 972 855 74566 .3 56 .6 51 .4 46 .2 100 87 .1 79 .3 75 .4 72 .8 65 .0 60 .5 54 .0819 508 381 276 3180 2090 1600 1356 1240 881 709 498

1145 913 737 544 2785 2036 1770 1537 1477 1198 995 91310 .8 10 .8 10 .7 10 .6 11 .5 11 .3 11 .3 11 .2 11 .2 11 .1 11 .0 11 .128 .9 27 .9 27 .2 26 .4 38 .1 34 .5 33 .2 31 .8 31 .7 30 .1 29 .2 28 .998 .7 85 .8 77 .2 67 .9 148 127 116 109 106 95 .3 87 .4 81 .4

31,197 27,171 24,246 20,937 41,607 34,849 32,000 29,600 28,900 25,600 23,200 21,8831201 1045 924 796 2045 1688 1540 1420 1380 1220 1090 10443 .49 3 .49 3 .46 3 .42 3 .72 3 .65 3 .65 3 .60 3 .61 3 .57 3 .54 3 .585 .09 5 .10 5 .12 5 .13 4 .51 4 .54 4 .55 4 .58 4 .57 4 .59 4 .60 4 .58

893000 778000 694000 599000 1190000 997000 916000 847000 827000 733000 664000 62600034400 29900 26400 22800 58500 48300 44100 40600 39500 34900 31200 29900

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W44x16 W40x16

Wt./ft 335 290 262 230 503 431 397 372 382 325 297 277

Fy

65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties

Pwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lp (ft)Lr (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryPex(KL)2/104

Pey(KL)2/104

Page 46: American Structural Shapes

Structural Shapes – Page 44

4050 3500 3230 6354 5387 4519 4280 3810 3430 2970 2720

3890 3370 3100 5920 5000 4182 3960 3530 3170 2750 25003840 3320 3060 5771 4867 4066 3850 3440 3080 2670 24203780 3270 3000 5603 4718 3937 3730 3330 2980 2580 23303710 3210 2940 5419 4554 3795 3600 3210 2870 2490 22403630 3140 2880 5221 4379 3643 3450 3080 2760 2390 2140

3550 3070 2810 5010 4192 3482 3300 2950 2630 2280 20403460 2990 2740 4789 3997 3314 3140 2810 2510 2170 19303370 2910 2660 4559 3795 3140 2970 2660 2370 2050 18203270 2830 2580 4324 3589 2962 2810 2520 2240 1940 17103170 2740 2500 4084 3379 2783 2640 2370 2100 1820 1590

3070 2650 2410 3843 3169 2603 2470 2210 1960 1700 14802960 2550 2320 3602 2960 2424 2300 2060 1830 1580 13702850 2460 2230 3363 2753 2248 2130 1920 1690 1460 12602740 2360 2130 3127 2549 2076 1970 1770 1560 1350 11502620 2260 2040 2896 2351 1908 1810 1630 1440 1240 1050

2390 2060 1850 2454 1971 1590 1510 1360 1200 1030 8682170 1870 1670 2062 1657 1336 1270 1150 1000 865 7291940 1670 1490 1757 1411 1139 1080 976 856 737 6211730 1490 1310 1515 1217 982 930 841 738 635 5361520 1310 1150 1320 1060 855 810 733 643 554 467

1340 1150 1010 1160 932 752 712 644 565 487 4101180 1020 892 1027 825 666 631 571 501 431 3631060 908 796 916 736 594 563 509 447 384 324948 815 714 822 661 533 505 457 401 345 291855 736 645 742 596 481 456 412 362 311 262

776 667 585 673 541 436 413 374707 608 533 613647 556 488594 511 448547 471 413

634 507 475 1708 1312 991 908 745 634 507 46748 .8 42 .3 42 .3 92 .3 79 .3 66 .3 62 .4 54 .0 48 .8 42 .3 42 .3366 238 238 2483 1575 920 768 496 366 238 238737 544 419 2322 1659 1198 1094 913 737 544 38011 .0 11 .0 10 .7 8 .2 8 .0 7 .8 7 .8 7 .9 7 .8 7 .7 7 .428 .0 27 .1 26 .4 26 .7 24 .1 22 .2 22 .0 21 .7 21 .0 20 .5 19 .173 .3 63 .4 58 .5 115 97 .5 81 .8 77 .5 69 .0 62 .0 53 .8 49 .2

19,558 16,734 14,894 29,900 24,700 20,500 19,415 17,372 15,479 13,306 11,573926 796 695 803 644 521 493 444 390 336 2833 .55 3 .54 3 .45 2 .64 2 .57 2 .52 2 .52 2 .54 2 .51 2 .50 2 .404 .60 4 .59 4 .63 6 .10 6 .19 6 .27 6 .28 6 .25 6 .29 6 .29 6 .39

560000 479000 426000 856000 707000 587000 556000 497000 443000 381000 33100026500 22800 19900 23000 18400 14900 14100 12700 11200 9620 8100

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W40x16 W40x12

Wt./ft 249 215 199 392 331 278 264 235 211 183 167

Fy

65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties

Pwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lp (ft)Lr (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryPex(KL)2/104

Pey(KL)2/104

Page 47: American Structural Shapes

Structural Shapes – Page 45

10553 8564 7120 6390 5820 5330 4880 4550 4230 3980 3730

10249 8305 6900 6180 5630 5150 4720 4400 4080 3840 360010142 8214 6820 6110 5570 5090 4660 4350 4030 3790 356010019 8110 6730 6030 5490 5020 4600 4290 3980 3740 35109882 7993 6630 5940 5410 4940 4520 4220 3910 3680 34509731 7865 6520 5840 5310 4850 4440 4140 3840 3610 3380

9567 7726 6400 5730 5210 4760 4360 4060 3760 3540 33209391 7576 6270 5610 5100 4660 4270 3970 3680 3460 32409202 7416 6130 5490 4990 4550 4170 3880 3590 3370 31609003 7248 5990 5350 4860 4440 4060 3780 3500 3290 30808794 7071 5830 5220 4740 4320 3950 3680 3410 3200 2990

8576 6887 5680 5070 4600 4200 3840 3580 3310 3100 29008350 6696 5510 4920 4470 4070 3730 3470 3200 3000 28108116 6500 5340 4770 4320 3940 3610 3350 3100 2900 27207876 6298 5170 4620 4180 3810 3480 3240 2990 2800 26207631 6092 5000 4460 4030 3670 3360 3120 2880 2700 2520

7129 5672 4640 4130 3730 3400 3110 2880 2660 2480 23206617 5245 4270 3800 3430 3120 2850 2640 2430 2270 21206102 4817 3910 3480 3130 2840 2600 2410 2210 2060 19205591 4394 3550 3150 2830 2570 2350 2170 1990 1850 17305089 3981 3210 2840 2550 2310 2110 1950 1780 1660 1540

4603 3582 2870 2540 2270 2060 1870 1730 1580 1470 13604136 3195 2550 2250 2010 1820 1660 1530 1400 1300 12103689 2850 2280 2010 1800 1630 1480 1370 1250 1160 10803311 2557 2040 1800 1610 1460 1330 1230 1120 1040 9652988 2308 1840 1630 1450 1320 1200 1110 1010 938 871

2710 2094 1670 1480 1320 1190 1090 1000 918 850 7902469 1908 1520 1350 1200 1090 991 915 837 775 7202259 1745 1390 1230 1100 995 907 838 765 709 6592075 1603 1280 1130 1010 914 833 769 703 651 6051912 1477 1180 1040 931 842 768 709 648 600 557

2875 2020 1498 1249 1077 928 808 725 652 598 546128 .1 104 .7 88 .4 79 .3 72 .8 66 .3 61 .4 57 .5 54 .6 52 .0 49 .47193 3931 2367 1710 1324 999 796 653 558 482 4144582 3096 2177 1770 1477 1251 1032 901 758 666 58012 .7 12 .4 12 .2 12 .1 12 .0 11 .9 11 .9 11 .8 11 .7 11 .6 11 .652 .3 44 .1 38 .8 36 .4 34 .6 33 .2 32 .1 31 .3 30 .5 29 .8 29 .3191 155 129 116 105 96 .4 88 .3 82 .4 76 .5 72 .0 67 .648875 38288 31021 27489 24760 22493 20347 18874 17267 16136 150203225 2489 1993 1754 1573 1421 1296 1198 1090 1014 9404 .11 4 .01 3 .93 3 .90 3 .86 3 .84 3 .83 3 .81 3 .78 3 .75 3 .733 .89 3 .92 3 .95 3 .95 3 .97 3 .98 3 .96 3 .97 3 .98 3 .99 3 .991400000 1100000 888000 787000 709000 644000 582000 540000 494000 462000 43000092300 71200 57000 50200 45000 40700 37100 34300 31200 29000 26900

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W36x16.5

Wt./ft 650 527 439 393 359 328 300 280 260 245 230

Fy

65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties

Pwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lp (ft)Lr (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryPex(KL)2/104

Pey(KL)2/104

Page 48: American Structural Shapes

Structural Shapes – Page 46

10608 8619 7901 7183 6409 5857 5359 4906 4580 4254 4006 3763

10302 8358 7656 6956 6203 5665 5182 4743 4427 4109 3867 363010193 8265 7570 6876 6130 5597 5120 4686 4372 4057 3818 358410069 8160 7472 6784 6047 5520 5049 4620 4311 3999 3762 35319931 8042 7361 6683 5954 5434 4969 4547 4242 3933 3700 34719778 7912 7240 6570 5852 5340 4882 4467 4166 3862 3632 3406

9613 7771 7109 6449 5741 5237 4787 4380 4084 3784 3558 33369434 7620 6968 6318 5623 5127 4685 4286 3996 3701 3479 32619244 7459 6817 6179 5496 5010 4577 4187 3902 3612 3395 31809043 7288 6658 6032 5363 4887 4464 4082 3804 3519 3307 30968832 7110 6492 5878 5223 4758 4344 3973 3701 3422 3214 3008

8612 6924 6319 5718 5078 4624 4220 3859 3593 3320 3118 29178384 6731 6139 5552 4928 4485 4093 3741 3483 3216 3019 28238148 6533 5955 5382 4774 4342 3961 3620 3369 3109 2917 27267906 6329 5765 5207 4616 4196 3827 3497 3253 2999 2814 26287659 6121 5572 5030 4455 4048 3690 3371 3135 2888 2708 2528

7153 5697 5178 4667 4127 3746 3412 3116 2895 2663 2494 23256637 5266 4779 4300 3796 3441 3131 2858 2653 2436 2280 21226118 4834 4379 3933 3466 3137 2852 2602 2413 2211 2067 19215603 4407 3985 3573 3142 2839 2579 2352 2178 1991 1860 17255098 3991 3602 3222 2828 2551 2314 2109 1952 1780 1660 1537

4608 3589 3232 2885 2526 2273 2059 1875 1732 1575 1467 13564139 3199 2874 2560 2238 2014 1824 1661 1534 1395 1300 12013690 2854 2564 2284 1997 1796 1627 1481 1369 1245 1159 10723312 2561 2301 2050 1792 1612 1460 1330 1228 1117 1041 9622989 2311 2077 1850 1617 1455 1318 1200 1109 1008 939 868

2711 2097 1884 1678 1467 1320 1195 1088 1005 914 852 7872470 1910 1716 1529 1337 1202 1089 992 916 833 776 7172260 1748 1570 1399 1223 1100 996 907 838 762 710 6562076 1605 1442 1285 1123 1010 915 833 770 700 652 6031913 1479 1329 1184 1035 931 843 768 709 645 601 556

2761 1929 1676 1409 1165 1001 870 749 683 597 553 494128 .1 104 .7 97 .5 88 .4 79 .3 72 .8 66 .3 61 .4 57 .5 54 .6 52 .0 49 .46982 3817 3087 2294 1656 1282 970 772 635 540 468 4014582 3096 2626 2177 1770 1477 1251 1032 901 758 666 58012 .7 12 .4 12 .3 12 .1 12 .0 11 .9 11 .9 11 .8 11 .8 11 .6 11 .6 11 .551 .3 43 .4 40 .8 38 .4 35 .8 34 .3 32 .9 31 .9 31 .2 30 .2 29 .7 29 .1192 156 143 130 116 106 97 .0 88 .8 82 .9 77 .0 72 .5 68 .1

50600 39600 36000 32100 28500 25700 23300 21100 19600 17900 16700 156003230 2490 2250 1990 1750 1570 1420 1300 1200 1090 1010 9404 .10 4 .00 3 .96 3 .92 3 .88 3 .85 3 .83 3 .82 3 .80 3 .76 3 .74 3 .713 .95 4 .00 3 .99 4 .01 4 .05 4 .05 4 .05 4 .03 4 .05 4 .07 4 .06 4 .07

1450000 1130000 1030000 919000 816000 736000 667000 604000 561000 512000 478000 44700092400 71300 64400 57000 50100 44900 40600 37200 34300 31200 28900 26900

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W36x16.5

Wt./ft 652 529 487 441 395 361 330 302 282 262 247 231

Fy

65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties

Pwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lp (ft)Lr (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryPex(KL)2/104

Pey(KL)2/104

Page 49: American Structural Shapes

Structural Shapes – Page 47

3410 3150 2960 2760 2600 2440

3170 2920 2750 2560 2400 22503090 2840 2670 2490 2330 21902990 2760 2590 2410 2260 21202890 2660 2500 2320 2170 20402780 2560 2400 2230 2090 1950

2660 2450 2300 2130 1990 18602540 2330 2190 2030 1890 17702410 2210 2070 1920 1790 16702280 2090 1960 1820 1690 15702150 1970 1840 1710 1590 1470

2020 1850 1730 1600 1480 13801880 1720 1610 1490 1380 12801750 1600 1500 1380 1280 11801630 1480 1390 1280 1180 10901500 1370 1280 1170 1080 995

1260 1140 1070 980 899 8261060 961 897 823 756 694902 819 764 701 644 591777 706 659 605 555 510677 615 574 527 484 444

595 541 504 463 425 390527 479 447 410 377 346470 427 398 366 336 308422 383 358 328 301 277381 346 323 296 272 250

346 314 293 269

569 500 455 409 374 34354 .0 49 .7 47 .1 44 .2 42 .3 40 .6522 409 348 287 251 225676 580 509 442 380 3238 .0 7 .9 7 .9 7 .8 7 .7 7 .7

21 .4 20 .8 20 .5 20 .2 19 .8 19 .561 .8 57 .0 53 .6 50 .0 47 .0 44 .2

13,192 12,113 11,311 10,499 9755 9040411 375 347 320 295 2702 .58 2 .56 2 .55 2 .53 2 .50 2 .475 .66 5 .70 5 .70 5 .72 5 .76 5 .79

378000 347000 324000 301000 279000 25900011800 10700 9930 9160 8440 7730

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W36x12

Wt./ft 210 194 182 170 160 150

Fy

65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties

Pwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lp (ft)Lr (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryPex(KL)2/104

Pey(KL)2/104

Page 50: American Structural Shapes

Structural Shapes – Page 48

11880 10830 9830 8950 8120 7400 6910 6460 6020 5580 5050 4600

11620 10580 9600 8730 7920 7220 6730 6300 5860 5430 4910 447011520 10490 9520 8660 7850 7150 6660 6240 5800 5380 4860 443011410 10390 9430 8570 7770 7070 6590 6170 5740 5310 4810 438011290 10280 9320 8470 7680 6990 6510 6090 5670 5250 4740 432011160 10160 9210 8360 7570 6890 6420 6010 5590 5170 4670 4250

11020 10020 9080 8240 7460 6790 6320 5910 5500 5090 4600 418010860 9870 8940 8120 7350 6680 6220 5810 5410 5000 4520 411010690 9720 8790 7980 7220 6560 6110 5710 5300 4910 4430 403010510 9550 8640 7840 7080 6440 5990 5590 5200 4810 4340 394010330 9370 8480 7680 6940 6310 5860 5480 5090 4700 4240 3860

10130 9190 8300 7520 6790 6170 5730 5350 4970 4590 4140 37609920 9000 8120 7360 6640 6020 5600 5220 4850 4480 4040 36709710 8800 7940 7180 6480 5880 5460 5090 4720 4360 3930 35709490 8590 7750 7000 6310 5720 5310 4950 4590 4240 3820 34609260 8380 7550 6820 6140 5570 5160 4810 4460 4120 3700 3360

8790 7940 7140 6440 5790 5240 4860 4530 4190 3860 3470 31408300 7480 6720 6050 5430 4910 4540 4230 3910 3600 3230 29207800 7020 6290 5660 5070 4570 4230 3930 3630 3340 2990 27007290 6550 5860 5260 4700 4230 3910 3630 3340 3070 2750 24806780 6080 5420 4860 4340 3900 3590 3330 3060 2810 2510 2270

6280 5620 5000 4470 3980 3570 3280 3040 2790 2560 2280 20605790 5160 4580 4080 3630 3250 2980 2760 2530 2310 2060 18505300 4720 4170 3710 3290 2940 2690 2480 2270 2080 1840 16604840 4290 3780 3350 2960 2640 2420 2230 2040 1860 1650 14904380 3870 3410 3020 2670 2380 2180 2010 1840 1680 1490 1340

3970 3510 3100 2740 2420 2160 1980 1830 1670 1530 1350 12203620 3200 2820 2500 2210 1970 1800 1660 1520 1390 1230 11103310 2930 2580 2290 2020 1800 1650 1520 1390 1270 1130 10103040 2690 2370 2100 1860 1650 1510 1400 1280 1170 1040 9322800 2480 2180 1940 1710 1520 1400 1290 1180 1080 956 858

5498 4709 4022 3419 2918 2501 2218 1979 1759 1537 1311 1119200 184 169 155 142 131 122 115 108 100 91 .7 83 .9

75402 59168 45802 35193 27324 21479 17225 14400 11920 9534 7305 56048815 7470 6327 5335 4479 3767 3379 2970 2587 2231 1867 156714 .5 14 .3 14 .1 13 .9 13 .7 13 .6 13 .4 13 .4 13 .2 13 .1 13 .0 12 .9178 164 150 138 126 116 109 102 95 .2 88 .6 80 .6 74 .0215 196 178 162 147 134 125 117 109 101 91 .4 83 .3

14300 12400 10800 9430 8210 7190 6600 6000 5440 4900 4330 38404720 4170 3680 3250 2880 2560 2360 2170 1990 1810 1610 14404 .69 4 .62 4 .55 4 .49 4 .43 4 .38 4 .34 4 .31 4 .27 4 .24 4 .20 4 .171 .74 1 .73 1 .71 1 .70 1 .69 1 .67 1 .67 1 .66 1 .66 1 .65 1 .64 1 .63

409000 355000 309000 270000 235000 206000 189000 172000 156000 140000 124000 110000135000 119000 105000 93000 82400 73300 67500 62100 57000 51800 46100 41200

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W14x16

Wt./ft 730 665 605 550 500 455 426 398 370 352 311 283

Fy

65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties

Pwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lp (ft)Lr (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryPex(KL)2/104

Pey(KL)2/104

Page 51: American Structural Shapes

Structural Shapes – Page 49

4180 3780 3430 3140 2860 2580 2360 2140 1950 1770 1610 1460

4060 3680 3330 3050 2780 2500 2290 2070 1880 1710 1550 14104020 3640 3290 3010 2750 2470 2260 2040 1860 1680 1530 13903970 3590 3250 2970 2710 2440 2230 2010 1830 1660 1510 13703910 3540 3200 2930 2670 2410 2200 1980 1800 1630 1480 13503850 3490 3150 2890 2630 2370 2160 1950 1770 1600 1460 1320

3790 3430 3100 2840 2580 2330 2120 1910 1730 1570 1430 13003720 3370 3040 2780 2530 2280 2080 1860 1690 1530 1390 12703650 3300 2980 2730 2480 2230 2040 1820 1650 1500 1360 12403570 3230 2910 2660 2420 2180 1990 1770 1610 1460 1320 12003490 3150 2840 2600 2370 2130 1940 1720 1560 1420 1290 1170

3400 3070 2770 2530 2300 2070 1890 1670 1520 1370 1250 11303310 2990 2700 2470 2240 2020 1840 1620 1470 1330 1210 11003220 2910 2620 2390 2180 1960 1780 1570 1420 1290 1160 10603130 2820 2540 2320 2110 1890 1730 1510 1370 1240 1120 10203030 2730 2460 2250 2040 1830 1670 1460 1320 1190 1080 982

2830 2550 2300 2100 1900 1710 1550 1340 1210 1100 994 9022630 2370 2130 1940 1760 1580 1430 1230 1110 1000 907 8232430 2180 1960 1790 1610 1450 1320 1110 1010 909 821 7452230 2000 1790 1630 1470 1320 1200 1000 906 818 737 6692030 1820 1630 1480 1340 1190 1080 897 808 729 657 595

1840 1640 1470 1340 1200 1070 974 794 714 644 580 5251650 1480 1320 1190 1070 958 867 703 633 571 513 4651470 1320 1170 1070 957 854 773 627 565 509 458 4151320 1180 1050 956 859 767 694 563 507 457 411 3721190 1070 951 863 775 692 626 508 457 412 371 336

1080 967 863 783 703 628 568 461 415 374 336 305987 881 786 713 641 572 518 420 378 341 307 278903 806 719 652 586 523 474 384 346 312 280 254829 741 660 599 538 481 435 353 318 286 258 233764 682 609 552 496 443 401 325 293 264 237 215

955 807 688 590 515 433 373 342 295 249 218 18776 .7 69 .6 63 .7 57 .9 54 .0 48 .4 44 .2 41 .9 38 .4 34 .1 31 .5 28 .64267 3198 2453 1831 1490 1074 817 696 533 377 296 2221306 1082 890 758 627 518 434 388 323 270 222 18412 .8 12 .7 12 .6 12 .5 12 .5 12 .4 12 .3 11 .6 11 .6 11 .6 11 .5 11 .567 .5 61 .6 56 .3 52 .1 48 .2 44 .4 41 .4 37 .9 35 .6 33 .6 31 .9 30 .775 .6 68 .5 62 .0 56 .8 51 .8 46 .7 42 .7 38 .8 35 .3 32 .0 29 .1 26 .53400 3010 2660 2400 2140 1900 1710 1530 1380 1240 1110 9991290 1150 1030 931 838 748 677 548 495 447 402 3624 .13 4 .10 4 .07 4 .05 4 .02 4 .00 3 .98 3 .76 3 .74 3 .73 3 .71 3 .701 .62 1 .62 1 .61 1 .60 1 .60 1 .60 1 .59 1 .67 1 .67 1 .67 1 .66 1 .66

97300 86200 76100 68700 61300 54400 48900 43800 39500 35500 31800 2860036900 32900 29500 26600 24000 21400 19400 15700 14200 12800 11500 10400

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W14x16 W14x14.5

Wt./ft 257 233 211 193 176 159 145 132 120 109 99 90

Fy

65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties

Pwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lp (ft)Lr (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryPex(KL)2/104

Pey(KL)2/104

Page 52: American Structural Shapes

Structural Shapes – Page 50

3740 3410 3080 2760 2470 2200 1950 1720 1560 1410 1280 1170 1060

3580 3260 2940 2630 2350 2100 1850 1640 1480 1340 1220 1110 10003520 3210 2890 2590 2310 2060 1820 1610 1450 1320 1190 1080 9803450 3150 2840 2540 2270 2020 1780 1570 1420 1290 1170 1060 9593380 3080 2780 2480 2210 1970 1740 1540 1390 1260 1140 1030 9343300 3010 2710 2420 2160 1920 1700 1500 1350 1220 1110 1010 908

3220 2930 2640 2350 2100 1870 1650 1450 1310 1190 1070 975 8803120 2840 2560 2280 2030 1810 1590 1410 1270 1150 1040 942 8503030 2750 2480 2210 1970 1750 1540 1360 1220 1110 1000 908 8192930 2660 2390 2130 1900 1690 1480 1310 1180 1060 961 872 7862820 2560 2300 2050 1820 1620 1420 1250 1130 1020 921 835 753

2720 2470 2210 1970 1750 1550 1360 1200 1080 975 879 798 7192610 2360 2120 1890 1670 1480 1300 1150 1030 930 838 760 6842500 2260 2030 1800 1600 1410 1240 1090 979 884 796 721 6492380 2160 1930 1720 1520 1340 1180 1030 929 837 754 683 6142270 2050 1840 1630 1440 1270 1120 979 878 791 712 645 579

2040 1840 1650 1460 1290 1140 992 869 778 700 629 569 5101820 1640 1460 1290 1140 1000 872 763 682 613 549 497 4451610 1440 1280 1130 995 873 758 661 590 529 473 427 3821400 1260 1110 980 860 753 654 570 509 456 408 369 3291220 1090 970 853 749 656 569 497 443 397 355 321 287

1070 962 853 750 658 577 500 437 390 349 312 282 252951 852 755 664 583 511 443 387 345 309 277 250 223848 760 674 593 520 456 395 345 308 276 247 223 199761 682 605 532 467 409 355 310 276 248 221 200 179687 616 546 480 421 369 320 279 249 223 200 181 161

623 558 495 435 382 335 290 253 226 203 181 164 146568 509 451 397 348 305 265 231 206 185 165 149 133519 466 413 363 319 279 242 211 189 169 151 137 122477 428 379 333 293 256 222 194 173 155 139 125 112440 394 349 307 270 236 205 179 160 143 128 116 103

1119 959 803 674 566 475 392 315 268 236 203 177 15283 .9 76 .7 68 .9 62 .4 56 .6 51 .4 46 .2 39 .7 35 .8 33 .5 30 .6 28 .0 25 .46523 5023 3626 2710 2013 1507 1094 693 509 418 316 242 1811567 1320 1107 890 717 571 450 358 296 240 198 164 13410 .3 10 .2 10 .1 10 .0 9 .9 9 .8 9 .7 9 .6 9 .6 9 .5 9 .4 9 .4 9 .467 .7 62 .0 56 .4 51 .0 45 .9 41 .4 37 .4 33 .9 31 .5 29 .5 27 .7 26 .4 25 .167 .7 61 .8 55 .8 50 .0 44 .7 39 .9 35 .3 31 .2 28 .2 25 .6 23 .2 21 .1 19 .12420 2140 1890 1650 1430 1240 1070 933 833 740 662 597 533742 664 589 517 454 398 345 301 270 241 216 195 1743 .31 3 .28 3 .25 3 .22 3 .19 3 .16 3 .13 3 .11 3 .09 3 .07 3 .05 3 .04 3 .021 .80 1 .80 1 .79 1 .78 1 .77 1 .77 1 .76 1 .76 1 .76 1 .75 1 .75 1 .75 1 .75

69300 61300 54100 47200 40900 35500 30600 26700 23800 21200 18900 17100 1530021200 19000 16900 14800 13000 11400 9870 8620 7730 6900 6180 5580 4980

ASD COLUMNS – W shapes - Allowable axial loads in kips - Fy = 65 ksi

Designation W12x12

Wt./ft 230 210 190 170 152 136 120 106 96 87 79 72 65

Fy

65 65 65 65 65 65 65 65 65 65 65 65 65

Effective length in KL (ft) with respect to least radius of gyration r

y

0

6789

10

1112131415

1617181920

2224262830

3234363840

4244464850

Properties

Pwo (kips)Pwi (kips/in .)Pwb (kips)Pfb (kips)Lp (ft)Lr (ft)A (in .2)Ix (in .4)Iy (in .4)ry (in .)Ratio rx/ryPex(KL)2/104

Pey(KL)2/104

Page 53: American Structural Shapes

Structural Shapes – Page 51

Notes

Page 54: American Structural Shapes

Structural Shapes – Page 52

Notes

Page 55: American Structural Shapes

Structural Shapes – Page 53

Notes

Page 56: American Structural Shapes

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