Design Guide 15 Aisc Rehabilitation and Retrofit Guide A Reference For Historic Shapes and Specifications
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Steel Design Guide Series
15
AISC Rehabilitation and Retrofit Guide A Reference for Historic Shapes and Specifications
Roger L. Brockenbrough, Brockenbrough, PE R. L. Broc Brockenbr kenbrough ough & Associ Associates, ates, Inc. Pittsburgh, PA
AMERICAN INSTITUTE OF STEEL CONSTRUCTION
Copyright © 2002 by American Institute of Steel Construction
All rights reserved. This book or any part thereof must not be reproduced in any form without the written permission of the publisher.
The information presented in this publication ha The has s been prepared in accordance with recognized engineering principles. While it is believed to be accurate, this information should nott be used or relied upon fo no forr an any y spe-cific application without competent professional examination an and d verification of it its s accuracy, suitablility, an and d applicability by a licensed professional engineer, designer, or architect. Th The e publication of th the e material contained herein is nott intended as a rep-resentation or warranty on th no the e part of th the e Am Amer eric ican an Institute of Steel Construction or of an any y other person named herein, that this information is suitable fo forr an any y general or particular us use e or of freedom from infringement of an any y patent or patents. An Anyo yon ne mak-ing us use e of this information assumes al alll liability arising from such use. Caution must be exercised when relying upon other specifications an d codes developed by other bodies and incorporated by reference herein since such material may be modified or amended from time to time subsequent to the printing of this editionThe . Institute bears no responsibility for such material other than to refer to it and incorporate it by reference at the time of the initial publication of this edition.
Printed in the United States of America First Printing: February 2002 Revision: October 2003 Revision: December 2009 Revision: March 2015
Author Roger L. Brockenbrough, P.E. is an engineering consultant working in the areas of product design and the development of technical information to facilitate improved steel designs. designs. Formerly he
papers, is the editor of two current McGraw-Hill books, Structural Steel Designer's Handbook and and Highway Engineering Handbook , and contributor to a third, Standard Handbook for
was Senior Research Consultant U. S. Steel,a involved in research studies for on bridge girders (heat curving), pressure vessels, laminar imperfections, bolted connections (weathering steel), connections in HSS, and cold-formed steel. He is the author of numerous technical
Civil Engineers Engineers. . He is a (Chair member of the AISC Specifications Committee of the Materials Subcommittee) and Chair of the AISI Committee on Specifications for the Design of Cold-Formed Steel Structural Members.
Preface The use of ferrous metal for structural framing began with cast-iron columns and wrought-iron beams. Early uses of cast iron in England in the 1770s included a small arch bridge over the river
beginning in 1900. A review is also provided of the basic design stresses for structural steel, rivets, bolts, and welds, based on AISC specifications from 1923 forward.
Severn at in Coalbrookdale, and interior structural members St. Anne’s Church in Liverpool. In the United States, cast-iron columns were introduced as balcony supports in the Chestnut Street Theater in Philadelphia in 1820. An early use of wrought iron was in the Menai Bridge in Wales in 1826. In the United States, a wrought iron frame was used in 1853 to construct the sixstory Cooper Union Building. Wrought iron appears to have flourished in the U.S. between 1870 and 1900. Structural steel shapes became available in 1880s and rapidly displaced cast iron and wrought iron. The ten-story Home Insurance Co. building erected in 1884 was the first to use steel framing. In this transitional structure, steel was used for the top four floors, wrought iron was used for the lower floors, and cast iron columns were used in the exterior walls. The advantages structural steel offered in strength, stiffness, and economy, greatly accelerated the development of tall buildings and other structures. Chapter 1 provides a historical review of the material standards published by the American Society for Testing and Materials (ASTM) for structural steel shapes and plates, steel pipe and hollow structural sections, rivets, and bolts,
Chapter 2 includes datafor(crosssectional dimensions andreference properties) steel shapes (wide-flange or I-shaped cross-sections) that have been discontinued over the past 125 years or so. Similar data is included for wrought iron cross-sections, which were phased out in about 1900. Chapter 3 outlines considerations in the evaluation of existing structures for gravity loads, wind loads or seismic loads. Chapter 4 describes how existing structural systems can be enhanced for increased strength and stiffness. An extensive list of references on rehabilitation and retrofit is given in Chapter 5 along with a summary of their contents. This design guide is concluded with a set of appendices that provide a detailed review of AISC Specification changes beginning in 1923, a tabulation of AISC Manuals published beginning in 1927, a summary of changes in specifications for high-strength bolted joints beginning in 1951 (as developed by the Research Council on Structural Connections (RCSC) and its forerunner), and a summary of design specifications for structural welding from 1934 forward.
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Acknowledgements The author would like to thank the reviewers for their assistance in the development of this design guide: John M.Bjorhovde Barsom Reidar Charles J. Carter Theodore V. Galambos Christopher M. Hewitt Rolf Larson Stanley D. Lindsey Heath E. Mitchell M. Kevin Parfitt David T. Ricker Raymond H.R. Tide Their comments and suggestions have enriched this design guide. Special thanks are due to the late Frank W. Stockwell, Jr. and to Robert F. Lorenz, both formerly with AISC, whose detailed notes and drafts as referenced herein were invaluable.
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Table of Contents 4.1.1 Floors................ Floors................................ ..............................2 ..............223 4.1.2.Columns................. 4.1.2.Columns.. .............................. .........................2 ..........224 4.2 Lateral Systems.................. Systems............................... .......................2 ..........224 4.2.1 Fully Restrained Moment Frames................. Frames.........................2 ........224 4.2.2 Partially Restrained Moment Frames................ Frames.........................2 .........225 4.2.3 Concentrically Braced Frames........225 4.2.4 Eccentric Braced Frames............ Frames ................2 ....225 4.3 Connections ..................................... ..............................................2 .........225 4.3.1 Connection Types ............ ......................... ...............22 ..22 5 4.3.2 Typical Methods of Reinforcement............................226 4.3.3 Rehab of Seismic Moment Connections.................227 4.4 Welding to Existing Members ............ ..................2 ......229 4.5 Thermal Cutting of Existing Members .....230 4.6 Drilling Holes in Existing Members.........231
Author ............. ........................... ............................ ............................ ........................ .......... v Prefacee ............. Prefac .......................... .......................... .......................... .......................... ............. v Acknowledgeme Acknow ledgements..................... nts.................................. ........................ ........... vi
Chapter 1 Historical Review of Specification Specif icationss ............. .......................... .......................... ......................... .............1 .1
1.1 Structural Shapes and Plates................ Plates.........................1 .........1 1.2 Steel Pipe and Hollow Structural Sections................ Sections............................. ....................1 .......1 1.3 Hot-Driven Rivets .......................... ....................................... ..............2 .2 1.4 Structural Bolts ........... ........................ .......................... .....................2 ........2 1.4.1Carbon Steel Bolts ............. .......................... ....................2 .......2 1.4.2 High Strength Strength Steel Bolts .....................2 .....................2 1.5 Structural Welding..................... Welding.................................. ...................3 ......3 Chapter 2 Properties of Discontinued Beams and Beam and Columns 1873-2000 .........................................21 Column Secti Sections ons 1873-2 1873-2000 000 ............. .......................... ..............21 .21
Chapter 5 References on Rehabilitation and Retrofit Retrofit ........................ ..................................... .......................... ..............2 .2 33
2.1 Steel Sections 1971-2000 .......................... ...........................22 .22 2.2 Steel Sections 1953 -1970 ......... ...................... .................27 ....27 2.3 Steel Sections 1887-1952………………… 1887-1952…………………35 2.4 Wrought Iron Sections 1873 – 1900……. 196
5.1 Reference List.............................. List...........................................2 .............233 5.2 Summaries of References ...... ................... ...................23 ......237 5.2.1 General Retrofit..............................23 Retrofit..............................237 5.2.2 Retrofit Case Studies .............. ......................2 ........240 5.2.3 Seismic Retrofit ............ ........................ ..................2 ......250
Chapter 3 Evaluation of Existing Structures................. Struc tures.............................. .......................... ........................ ...........215
Appendix Historical Review of Specification Specif icationss and Manual Manual ........... ........................ ................2 ...259
3.1 Introduction Introduction............. ......................... ......................... ....................2 .......2 15 3.2 Evaluation Methods........................ Methods.................................2 .........215 3.2.1 Gravity Loads ............. ........................... ....................2 ......2 15 3.2.2 Seismic Loads ............. .......................... ...................2 ......2 15 3.3 Chapter N, AI AISC SC LRFD Specification ....21 6
A1. AISC Specifications – 1923 to 1999........259 A2. AISC Manual – 1927 to 1995 .................. ..................30 1 A3. Specifications for High-Strength High-Strength Bolted Joints – 1951 to 2000 ............... ............... 305 A4. Design Specifications for Structural Welding – 1934 to 1999...... 309 A5. AISC Code of Standard Practice – 1924 to 2000 .......................3 .......................311
3.3.1 Specification Provisions Provisions .................21 .................21 6 3.3.2 Commentary ......................... ..................................21 .........21 8 Chapter 4 Enhancement of Existing Structural Systems........................................223
Index ........................ ..................................... .......................... .........................3 ............317
4.1 Gravity Systems ................................. .......................................2 ......2 23
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Chapter 1 HISTORICAL REVIEW OF SPECIFICATIONS 1.2 Steel Pipe and Hollow Structural Sections (HSS)
1.1 Structural Shapes and Plates
AISC and other specifications for the design of structural steel usually refer to standards published by the American Society for Testing and Materials (ASTM). Table 1.1a presents a historical summary of the pertinent ASTM standards for structural steels for buildings over the last century, with the relevant yield points and tensile strengths specified. For further information on specific ASTM standards, refer to the appropriate Annual Book of ASTM Standards Standards where available or contact ASTM, 100 Barr Harbor Drive, West Conshohocken, PA 19428-2959 (telephone 610832-9585, website www.astm.org). Always refer to the latest published ASTM standard for current information on present structural steels. Properties of rivet steel through 1949 are also included in Table 1.1a. For information on rivets after 1949, see Section 1.3. For information on bolts, steel pipe, and hollow structural sections, see Section 1.2. A review of structural bolts is presented in Section 1.4 and Appendix A3. A review of structural welding is presented in Section Section 1.5, and A Appendix ppendix A4. Table 1.1b lists the basic allowable stresses for members given in AISC allowable stress design (ASD) specifications since 1923. The allowable stress was initially 18 ksi, increasing to 20 ksi in 1936. With the advent of higherstrength steels, the allowable stress was expressed in terms of the specified minimum yield stress F y in 1963. In 1986, the load and resistance factor design method (LRFD) was introduced. This method provided an improved design approach that included explicit consideration of limit states, load factors, resistance factors, and implicit determination of reliability. Further information on historical developments in AISC specifications, both ASD and LRFD, is given in Appendix A1. A chronological listing of publishing dates of the various versions of the AISC Manual is provided in Appendix A2.
Steel pipe and HSS were introduced to the AISC Specification in 1969. Included were the Specification following: • •
•
A53 Pipe, Steel, Black and Hot-Dipped, A53 Pipe, Hot-Dipped, Zinc-Coated, Welded Welded and Seamless; Seamless; A500 Cold-Formed Welded and Seamless Carbon Steel Structural Tubing in Rounds and Shapes; Shapes; and A501 Hot-Formed Welded and Seamless Carbon Steel Structural Tubing .
The 1978 AISC Specification added a fourth standard, High-Strength A618 Hot-Formed Welded and Seamless Low-Alloy Structural Tubing . All four standards are included in current AISC specifications. A500, A501, and A618 all include both round and shaped (usually square and rectangular) HSS. The only standard referenced by AISC for steel pipe, A53, was first published in 1915. Only Grade B is included in the AISC specifications. A500, which is for cold-formed carbon steel product, was first published in 1964 and included two grades for round HSS and two for shaped HSS. Two more grades of each were added subsequently. A501, which is for hotformed carbon steel product, was first published in 1964 and includes only one strength level. A618, which is for hot-formed HSLA product, was first published in 1968 and includes three strength levels. As with other steel products, it is important to properly identify the material when investigating existing construction with steel pipe or HSS. For example, A53 steel pipe has a specified minimum yield point of 35 ksi, while round HSS can have a specified minimum yield point of 33 to 50 ksi, depending upon specification and grade. A summary of ASTM standards for steel pipe and HSS is provided in Table 1.2.
1
1.3 Hot-Driven Rivets
1.4 Structural Bolts
Through at least 1949, A141 specified the yield point and tensile strength of rivet steel, as indicated in Table 1.1a. For many years now, however, rivets standards have specified the material hardness instead. Hardness is generally related to tensile strength as indicated by tables
Two general types of bolts have been commonly used for structural steel connections: • •
in ASTM A370. All material requirements refer to the un-driven rivet. The 1963 AISC Specification Specification included three ASTM standards for rivet steel: • • •
carbon steel bolts (A307) and high-strength bolts (A325, A354BC, A449, A490, and F1852).
Information on each is given in the following sections. Further details on the historical development of high-strength bolted joints is given in Appendix A2.
A141 Structural Rivet Steel , A195 High-Strength A195 High-Strength Rivet Rivet Steel , and A406 High-Strength Structural Alloy Rivet Steel .
1.4.1 Carbon Steel Bolts
In the 1949 AISC Specification Specification,, the term unfinished bolts was bolts was used to refer to carbon steel bolts. In the 1969 and subsequent specifications, reference has been made to A307 bolts. The A307 standard was first published in 1947. These bolts have a tensile strength of 60 ksi and are not installed with pretension.
A195 and A406 were introduced for use with the higher-strength steels that were included in the AISC Specification Specification at that time. A406 was discontinued in 1965 without replacement. A141 was discontinued in 1967 and replaced by A502. A195The was1969 also AISC discontinued in the included 1960s. Specification included Specification only A502, Grade 1 or Grade 2, Specification for Structural Rivets. Rivets. The A502 specification was originally published in 1964, combining and including previous discontinued rivet steel specifications (A141 and A195). The 1978 AISC Specification and subsequent editions have Specification included A502 Grades 1, 2, and 3. A502-93 defined three grades, with Grades 2 and 3 as the higher-hardness (higher-strength) grades. Grade 3 has enhanced atmospheric corrosion with resistance to weathering comparable to that of A588/A588M steel. Hardness values specified in A502 are listed in Table 1.3a. In 1999, A502-93 was discontinued without replacement. Allowable stresses for hot-driven rivets as specified by AISC over the years are summarized in Table 1.3b. Design strengths according to AISC LRFD specifications are given in Table 1.3c. The latter must be used in conjunction with factored loads. Certain strength reductions for long connections may apply. Also, the combined effects of tension and shear must be considered where both are present. Other design limitations may apply. Stress calculations are always based on the nominal body area before driving, even though the the area after driving will often be greater.
stresses AISC1.4.1a. specifications overAllowable the years are givenfrom in Table Design strengths according to AISC LRFD specifications are given in Table 1.4.1b. The latter must be used in conjunction with factored loads. Allowable bearing stresses are the same as for rivets, Tables 1.3b and 1.3c. Certain strength reductions for long connections may apply. Also, the combined effects of tension and shear must be considered where both are present. Bearing and other design limitations may apply. 1.4.2 High-Strength Steel Bolts
High-strength bolts were first used in the United States after World War II to replace rivets in the maintenance of railroad bridges. The Research Council on Riveted and Bolted Structural Joints (RCRBSJ) developed the first specification for the design of connections with high-strength bolts in 1951. It identified identified the AST ASTM M A325 highstrength bolt as equivalent to a hot driven ASTM 141 rivet. Numerous new editions of the specifications have been developed over the years by the RCRBSJ and its 1980 successor, the Research Council on Steel Connections (RCSC). A summary of the salient points of those specifications is given in Appendix A2. Highstrength bolts were initially recognized in the 1961 AISC Specification Specification.. High-strength bolts that have been used for structural connections include A325, A354 Grade BC, A449, and A490 bolts. Standards
2
A325, A449, and A490 were first published in 1964, and the standard for A354 in 1952. Tensile properties of these bolts are as listed in Table 1.4.2a. Twist-off-type tension-control fastener assemblies (i.e., splined-ended bolt assemblies with nuts and washers) with properties similar to A325 bolts, were standardized in 1998 as F1852.
or medium-carbon martensite steel, quenched and tempered. Allowable stresses for high-strength bolts that have been given in RCRBSJ/RCSC specifications since first issued are given in Table 1.4.2c. These allowable stresses are usually adopted in AISC specifications as they are updated. Similarly, design strengths for
These so-called TC bolts had been used for several years previously as A325 equivalents. Similar TC equivalents have also been used for A490 bolts. Compressible-washer-type direct tension indicators, which depend on measurement of a gap at the washer for tension control, can be furnished to F959. It is important that appropriate nuts and washers are used with high-strength bolts. Table 1.4.2b lists acceptable types. Bolt types for A325 are as follows: Type 1 – medium-carbon, carbon-boro carbon-boron, n, or alloy steel, quenched and tempered, Type 2 – lowcarbon martensite steel, quenched and tempered, and Type 3 – weathering steel, quenched and tempered. Type 2 was withdrawn in 1991. Bolt types for A490 are as follows: Type 1 – alloy steel, quenched and tempered, Type 2 – low-carbon martensite steel, quenched and tempered, and Type 3 – weathering steel, quenched and tempered. Type 2 was withdrawn circa 1994. Bolt types for A449 are as follows: Type 1 – medium carbon, Type 2 – low-carbon martensite
LRFD specifications are given in Table 1.4.2d. The latter must be used in conjunction with factored loads, except that slip-critical connections can be checked at service loads under some conditions. Certain strength reductions for long connections may apply. Also, the combined effects of tension and shear must be considered where both are present. Other design limitations including fatigue may apply. Hole configuration must be considered for slip-critical connections. 1.5 Structural Welding
Allowable stresses for welds that have been given by AISC manualsofand specifications the first introduction welding in 1934since are given in Table 1.5.b. Design strengths for LRFD specifications are given in Table 1.5c. The latter must be used in conjunction with factored loads. Further details on the historical development of specifications for welding in AISC is given in Appendix A3.
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Table 1.1a Historical Summary of ASTM Specifications for Structural Shapes and Plates
Date 1900
19011904
Specification
Rivet Steel Soft Steel Medium Steel
30 32 35
50/60 52/62 60/70
A9 for Buildings
Rivet Steel Medium Steel Rivet Steel Soft Steel Medium Steel
30 35 ½ Tensile Str. ½ Tensile Str. ½ Tensile Str.
50/60 60/70 50/60 52/62 60/70
Rivet Steel Medium Steel Structural Steel Rivet Steel Steel Castings
½ Tensile Str. ½ Tensile Str. Record Value Record Value ½ Tensile Str.
50/60 60/70 60 desired 50 desired 65
Rivet Steel Medium Steel Structural Steel Rivet Steel Steel Castings* *Deleted 1913.
½ Tensile Str. ½ Tensile Str. Record Value Record Value ½ Tensile Str.
50/60 60/70 60 desired 50 desired 65
Structural Steel Rivet Steel Structural Steel Rivet Steel
½ Tensile Str. ½ Tensile Str. ½ Tensile Str. ½ Tensile Str.
55/65 48/58 55/65 46/56
Structural Rivet SteelSteel Structural Steel Rivet Steel
½ ½ Tensile Tensile Str. Str. ½ Tensile Str. ≥30 ½ Tensile Str. ≥25
55/65 46/56 55/65 46/56
Structural Steel Rivet Steel
½ Tensile Str. ≥30 ½ Tensile Str. ≥25
55/65 46/56
A7 for Bridges
A7 for Bridges
A9 for Buildings 19091913
A7 for Bridges
A9 for Buildings 19141923
A7 for Bridges
A9 for Buildings 19241931
Yield Point , ksi
A7 for Bridges
A9 for Buildings 19051908
Material
Tensile † Strength , ksi
†
A7 for Bridges
A9 for Buildings
4
Table 1.1a (Cont’d.) Historical Summary of ASTM Specifications for Structural Steel
Date 1932
1933
19341938
19391948
Specification
Material
Yield Point, ksi
Tensile † Strength , ksi
½ Tensile Str. or 33 min. ½ Tensile Str. or 36 min.
60/72
½ Tensile Str. or 28 min.
52/62
Structural Steel Plates, Shapes, & Eyebars Eyebar flats, un-annealed
½ Tensile Str. ≥30 ½ Tensile Str. ≥33 ½ Tensile Str. ≥36
55/65 60/72 67/82
A9-33T (Buildings)* *Tentative revision, Oct. 30, 1933.
Structural Steel
½ Tensile Str. ≥33
60/72
A141-32T adopted.
Rivet Steel
½ Tensile Str. ≥28
52/62
A7-34 for Bridges adopted.
Plates, Shapes, & Eyebars
½ Tensile Str. ≥33
60/72
Eyebar flats, un-annealed
½ Tensile Str. ≥36
67/82
A9-34 for Buildings adopted.
Structural Steel
½ Tensile Str. ≥33
60/72
A141-33 A7-39*
Rivet Steel Structural Steel
½ Tensile Str. ≥28 ½ Tensile Str. ≥33
52/62 60/72
A141-36* *Published as tentative standards, 1932-1933. Replaced rivet steel formerly in A7 and A9.
Rivet Steel
½ Tensile Str. ≥28
52/62
A141-39
Rivet Steel
½ Tensile Str. ≥28
52/62
A140-32T* * Issued as a tentative revision to A7 and A9.
Plates, Shapes, & Bars
A141-32T* * Issued as a tentative revision to A7 and A9. A140-32T discontinued. A7-33T (Bridges)* *Tentative revision, Oct. 30, 1933.
Rivet Steel
Eyebar flats, un-annealed
67/82
*Consolidation of A7-34 and A9-34 into one specification for bridges and buildings.
5
Table 1.1a (Cont’d.) Historical Summary of ASTM Specifications for Structural Steel
Date 1949
1958 1961
1962
1963
Specification
Material
Yield Point, ksi
Tensile † Strength , ksi
½ Tensile Str. ≥33
60/72
28 32
52/62 58-75
33 33 33
60/75 60/72 60/75
36 36 36
58/80 58/80 58/80
50
70
46
67
42
63
50
70
46
67
42
63
A6-49T* * Issued as a tentative standard covering delivery requirements for A7 steel. A7-49T
Structural Steel
A141-49T A373-58T A7-61T
Rivet Steel Structural Steel Structural Steel All shapes Plates/bars to 1½ in. Plates/bars over 1½ in. Structural Steel All shapes Plates to 8 in. Bars to 4 in. HSLA Steel: Group 1 shapes & plates/bars to ¾ in. Group 2 shapes & plates/bars over ¾ to 1½ in. Group 3 shapes & plates/bars over 1½ to 4 in.
A36-62T
A242-63T
A440-63T
High-Strength Group 1 shapesSteel: & plates/bars to ¾ in. Group 2 shapes & plates/bars over ¾ to 1½ in. Group 3 shapes & plates over 1½ to 4 in.
6
Table 1.1a (Cont’d.) Historical Summary of ASTM Specifications for Structural Steel
Date 1963 Con’t.
1964
Specification A441-63T
A529-64
A514-64
1965 1966
1967 1968
A373-58T discontinued. A440-66
A7-66 discontinued. A242-68
Material
50
70
46
67
HSLA Steel: Group 1 shapes & plates/bars to ¾ in. Group 2 shapes & plates/bars over ¾ to 1½ in. Group 3 shapes & plates/bars over 1½ to 4in. 4in. Plates/bars over 4 to 8 in. Structural Steel: Group 1 shapes & plates/bars to ½ in.
42 40
63 60
42
60/85
Q&T Alloy Plate: To 2½ in. Over 2½ to 4 in.
100 90
115-135 105-135
50
70
46
67
42
63
50
70
46
67
42
63
50
70
46
67
42
63
40
60
High-Strength Steel: Group 1 & 2 shapes and plates/ bars to ¾ in. Group 3 shapes and plates/bars over ¾ to 1½ in. Group 4 & 5 shapes and plates/bars over 1½ to 4 in High-Strength Steel: Group 1 & 2 shapes and plates/bars to ¾ & in. Group 3 shapes plates/bars over ¾ to 1½ in. Group 4 & 5 shapes and plates/bars over 1½ to 4in. 4in.
A441-68
Yield Point, ksi
Tensile † Strength , ksi
High-Strength Steel: Group 1 & 2 shapes and plates/bars to ¾ in. Group 3 shapes & plates/bars over ¾ to 1½ in. Group 4 & 5 shapes and plates/bars over 1½ to 4in. 4in. Plates/bars over 4 to 8 in.
7
Table 1.1a (Cont’d.) Historical Summary of ASTM Specifications for Structural Steel
Date 1968 Con’t.
Specification A572-68
A588-68
1972
A572-72
Material HSLA Steel: Grade 42 - Shapes to 426 lb/ft & plates/bars to 1½ in. Grade 45 - Shapes to 426 lb/ft & plates/bars to 1½ in. Grade 50 - Shapes to 426 lb/ft & plates/bars to 1½ in. Grade 55 - Shapes to 426 lb/ft & plates/ bars to 1½ in. Grade 60 – Group 1 & 2 shapes and plates/bars to 1 in. Grade 65 - Group 1 shapes and plates/bars to ½ in. HSLA Steel: Group 1 - 4 shapes and plates/bars to 4 in. Group 5 shapes and plates/bars over 4 to 5 in. in. Plates/bars over 5 to 8 in. HSLA Steel: Grade 42 - Shapes to 426 lb/ft &45 plates/bars in. Grade - Shapes to to 6426 lb/ft & plates/bars to 2 in. Grade 50 - Shapes to 426 lb/ft & plates/bars to 2 in. Grade 55 - Shapes to 426 lb/ft & plates/ bars to 1½ in. Grade 60 – Group 1 & 2 shapes and plates/bars to 1 in. Grade 65 - Group 1 shapes and plates/bars to ½ in.
8
Yield Point, ksi
Tensile † Strength , ksi
42
60
45
60
50
65
55
70
60
75
65
80
50
70
46 42
67 63
42
60
45
60
50
65
55
70
60
75
65
80
Table 1.1a (Cont’d.) Historical Summary of ASTM Specifications for Structural Steel
Date
Specification
1973
A572-73
1974
A514-74a
A572-74b
A588-74a
1977
A514-77
A572-77a Grades 45 & 55 discontinued.
Material Grades 60 & 65: Maximum thickness for plates/bars now 1¼ in. Q&T Alloy Plate: To 2½ in. Over 2½ to 4 in. HSLA Steel: Grade 42 – All shapes & plates/bars to 6 in. Grade 45 – All shapes & plates/bars to 2 in. Grade 50 – Groups 1 – 4 shapes & plates/bars to 2 in. Grade 55 – Shapes to 426 lb/ft & plates/ bars to 1½ in. Grade 60 – Group 1 & 2 shapes and plates/bars to 1¼ in. Grade 65 – Group 1 shapes and plates/bars to 1¼ in. HSLA Steel: All shapes and plates/bars to 4 in. Plates/bars over 4 to 5 in. Plates/bars 5 to 8 in. Q&T Alloyover Plate: To 2½ in. Over 2½ to 6 in. HSLA Steel: Grade 42 – All shapes & plates/bars to 6 in. Grade 50 – Groups 1 – 4 shapes to & plates/bars to 2 in. Grade 60 – Group 1 & 2 shapes and plates/bars to 1¼ in. Grade 65 - Group 1 shapes and plates/bars to 1¼ in.
9
Yield Point, ksi
Tensile † Strength , ksi
100 100
110/130 100/130
42
60
45
60
50
65
55
70
60
75
65
80
50 46
70 67
42
63
100 100
110/130 100/130
42
60
50
65
60
75
65
80
Table 1.1a (Cont’d.) Historical Summary of ASTM Specifications for Structural Steel
Date 1978
Specification
1982
A572-82
1985
A852/A852M-85 A441 discontinued. A529/A529M-92
Grade 50: Now covers all shape grades. Grade 50: Now covers all shape grades & plates/bars to 4 in. Q&T Low Alloy: To 4 in. High-Strength Steel Structural Steel: Grade 42 - Group 1 shapes & plates/bars to ½ in. Grade 50 - Group 1 & 2 shapes, 1 in. in., and plates bars toto1½ in. x 12
A572-92a
1993
A913/A913M-93
1995
A913/A913M-95
1996
Yield Point, ksi
70
90/110
42
60/85
50
70 to100
42
60
50
65
60
75
65
80
60 65 70
75 80 90
50 60 65 70
65 75 80 90
50
70/100
55
70 to100
A440-77 discontinued. A572-78
1989 1992
Material
Tensile † Strength , ksi
A529/A529M-96
HSLA Steel: Grade 42 – All shapes & plates/bars to 6 in. Grade 50 – All shapes to & plates/bars to 4 in. Grade 60 – Group 1, 2 & 3 shapes and plates/bars to 1¼ in. Grade 65 - Group 1, 2 & 3 shapes and plates/bars to 1¼ in. QST HSLA Steel: Grade 60 – All shapes. Grade 65 – All shapes. Grade 70 – All shapes. QST HSLA Steel: Grade 50 – All shapes. Grade 60 – All shapes. Grade 65 – All shapes. Grade 70 – All shapes. Structural Steel: Grade 50 - Group 1 & 2 shapes, plates to 1 in. x 12 in., and bars to 2½ in. Grade 55 - Group 1 & 2 shapes, plates to 1 in. x 12 in., and bars to 1½ in.
10
Table 1.1a (Cont’d.) Historical Summary of ASTM Specifications for Structural Steel
Date 1998
2000
Current (2001)
Specification A992/A992M-98* *Introduced as new specification for structural shapes for buildings. Includes Includes limits on yield-tensile ratio and carbon equivalent. A572/A572M-00 A572/A572M-00
Material Structural Steel: All W shapes.
Yield Point, ksi
Tensile † Strength , ksi
50 min./65 max.* *Yield-tensile ratio = 0.85 max.
65
42
60
50
65
55
70
60
75
A36/A36M-00a
HSLA Steel: Grade 42 – All shapes & plates/bars to 6 in. Grade 50 – All shapes to & plates/bars to 4 in. Grade 55 – All shapes & plates/ bars to 2 in. Grade 60 – Group 1, 2 & 3 shapes and plates/bars to 1¼ in. Grade 65 - Group 1, 2 & 3 shapes and plates/bars to 1¼ in. Structural Steel
65 Same as 1962
A242/A242M-00a
HSLA Steel
Same as 1968
A514/A514M-00a
Q&T Alloy Steel
Same as 1977
A529/A529M-00
Structural Steel
Same as 1996
80 Same as 1962 Same as 1968 Same as 1977 Same as
A572/A572M-00
HSLA Steel
See 2000
1996 See 2000
A588/A588M-00
HSLA Steel
Same as 1974
A852/A852M-00a
Q&T Low Alloy Steel
Same as 1985
A913/A913M-00a
QST HSLA Steel
Same as 1995
A992/A992M-98
Structural Steel
Same as 1974 Same as 1985 Same as 1997 See 1998
†
See 1998
Properties are specified minimum except minimum/maximum where two values are listed. “Record Value” indicates that the value is recorded but no value is specified. “Desired” indicates a value that is aimed for, but no value is specified.
11
Table 1.1b Historical Basic Allowable Stresses (ksi) in AISC Specifications* AISC Specification
Tension 1923 18 1936 20 1963-1989 0.60 F y 0.60 F * F y = specified minimum yield stress, ksi
Bending 18 20 0.60 F y 0.60 F
12
Bending in Compact Shapes 0.66 F y 0.66 F
Table 1.2 Historical Summary of ASTM Specifications for Steel Pipe and HSS
Date 1963
1964
Specification
Material
A53-63T First published in 1915.
Steel Pipe, Welded and Seamless: Grade B Cold-Formed Welded and Seamless Carbon Steel Structural Tubing in Rounds and Shapes: Round Grade A Round Grade B Shaped Grade A Shaped Grade B
A500-64
A501-64
1968
1974 1990 1981
A618-68
A500-74a Grade C added. A500-90a Grade D added. A618-81 Grade designations
35
60
33 42 39 46
45 58 45 58
36
58/80
50 50 50
70 70 65
46 50 36 36 50
62 62 58 58 70
46 50
67 65
A53/A53M-99b
Grades Ia, Ib, & II with walls ¾ - 1½ in. Grade III Steel Pipe
Same as 1963
A500-99
Cold-Formed Tubing
Same as 1990
A501-99
Hot-Formed Carbon Steel Tubing
Same as 1964
Same as 1963 Same as 1990 Same as 1964*
changed. To Date
Hot-Formed Welded and Seamless Carbon Steel Structural Tubing Hot-Formed Welded and Seamless High-Strength Low-Alloy Structural Tubing: Grade I Grade II Grade III Round Grade C Shaped Grade C Round Grade D Shaped Grade D Grades Ia, Ib, & II with walls to ¾ in.
Yield Point, ksi
Tensile Strength†, ksi
Hot-Formed HSLA Same as Same as 1981 Tubing 1981 † Properties are specified minimum except minimum/maximum where two values are listed. *For A501, the 80 ksi upper limit was discontinued circa 1968 – 1988. A618-99
13
Table 1.3a Hardness Requirements for ASTM A502 Steel Structural Rivets* Hardness Measurement Type Rockwell B Brinell, 500-kgf (4900-N), 10-mm ball
Grade 1 – Min./Max. 55/72
Grade 2 – Min./Max. 76/85
Grade 3 – Min./Max. 76/93
103/126
137/163
137/197
* As specified in A502-93.
Table 1.3b Historical AISC Allowable Stresses (ksi) for Rivets – ASD* AISC Spec. Year
1928 1936 1949 1963 1969 1978 1989
Type of Rivet A9 A141 A141 A141 A195 & A406 A502 Grade 1 A502 Grade 2 A502 Grade 1 A502 Grade 2 or 3 A502 Grade 1 A502 Grade 2 or 3
Tension 13.5 15.0 20.0 20.0 27.0 20.0 27.0 23.0 29.0 23.0 29.0
Shear 13.5 15.0 15.0 15.0 20.0 15.0 20.0 17.5 22.0 17.5 22.0
Bearing
32.0/40.0** 32.0/40.0** 1.35 F 1.35 F y y 1.35 F 1.35 F y 1.35 F 1.35 F y y 1.35 F 1.35 F y 1.50 F 1.50 F u 1.50 F 1.50 F u 1.20 F 1.20 F u 1.20 F 1.20 F u
* The allowable stress is based on the nominal body area before driving. ** Lower value for single shear, larger value for double shear.
Table 1.3c Historical AISC Design Strength (ksi) for Rivets – LRFD* AISC Spec. Year
Type of Rivet
1986
A502 Grade 1 A502 Grade 2 or 3 A502 Grade 1 A502 Grade 2 or 3 A502 Grade 1 A502 Grade 2 or 3
1993 1999
Tension, F t t 33.8 45.0 33.8 45.0 33.8 45.0
* Stress on nominal body area before driving.
14
Shear, F v 23.4 31.2 18.8 24.8 18.8 24.8
Bearing, F n 1.80 F 1.80 F u 1.80 F 1.80 F u 1.80 F 1.80 F u 1.80 F 1.80 F u 1.80 F 1.80 F u 1.80 F 1.80 F u
Table 1.4.1a Historical AISC Allowable Stresses (ksi) for Unfinished Carbon Steel Bolts or A307 Bolts - ASD Bearing AISC Spec. Year Tension Shear 20.0/25.0† 1936 Not specified. 10* 20.0/25.0† 1941 12 10* 20.0/25.0† 1946 20 10* 20.0/25.0† 1949 20** 10* 1.35 F 1.35 F y 1963 14* 10* 1.35 F 1.35 F y 1969 20*** 10* 1.50 F 1.50 F u 1978 20* 10* 1.20 F 1.20 F u 1989 20* 10* * Stress on nominal body area. ** Stress on nominal area at root of thread. Values are tabulated in AISC Manual, Fifth Ed., and as “section at minor diameter” in current ANSI B1.1.
*** Stress on defined tensile stress area (in. ), A s = 0.7854 [ D − (0.9743 / n )] , 2
2
where D (in.) where D (in.) is nominal diameter and n is number nu mber of threads per in. † Lower value for single shear, larger value for double shear.
Table 1.4.1b Historical AISC Design Strength (ksi) for A307 Bolts – LRFD* AISC Spec. Year Tension, Ft 1986 0.75 x 45 = 34 1993 0.75 x 45 = 34 1999 0.75 x 45 = 34 * Stress on nominal body area.
Shear, Fv 0.60 x 27 = 16 0.75 x 24 = 18 0.75 x 24 = 18
15
Bearing, Fn 1.80 F 1.80 F u 1.80 F 1.80 F u 1.80 F 1.80 F u
Table 1.4.2a Current Tensile Properties of High-Strength Bolts*
ASTM Designation A325
A490
A354 Grade BC A449
**
Description Heat treated structural bolts, Type 1, 2, or 3 Heat treated structural bolts, Type 1, 2, or 3 Quenched and tempered alloy steel bolts Quenched and tempered steel
Diameter, in.
Specified Min. Proof Load Divided by Stress Area, ksi
Specified Tensile Load Divided by Stress Area, ksi
½ to 1, incl. 1 1/8 to 1 ½, incl.
85 74
120 105
½ to 1 ½, incl.
120
150 - 170
¼ to 2 ½ incl., 2 ½ to 4 incl.
105 95
125 115
92 85 ¼ to 1, incl. bolts and studs: 81 74 1 1/8 to 1 ½, incl. Type 1 (¼ to 3) 58 55 1 ¾ to 3, incl. Type 2 (¼ to 1) * Based on current ASTM specifications. Changes over past years believed to be relatively minor. In column 4, an alternative proof load definition gives higher values. ** Type 2 bolts were withdrawn from ASTM standards A325 (1991), and A490 (circa 1994).
16
Table 1.4.2b Current Acceptable Nuts and Washers for High-Strength Bolts*
ASTM Designation A325
A1852
A490
A563 Nut, Grade, and Finish C, C3, D, DH and DH3; plain
F436 Washer Type and Finish 1; plain
Galvanized
DH; galvanized and lubricated
1; galvanized
3
Plain
3; plain
1
Plain (uncoated)
C3 and DH3; plain C, C3, D, DH and DH3; plain
Mechanically
DH; mech.
1; mech.
galvanized
galvanized and lubricated
galvanized
3
Plain
3; plain
1
Plain
C3 and DH3; plain DH and DH3; plain
Bolt Type 1
Bolt Finish Plain (uncoated)
1; plain
1; plain
3 Plain DH3; plain 3; plain * Based on current RCSC specifications, which should be referred to for complete details. The substitution of A194 grade 2H nuts in place of A563 grade DH nuts is permitted. F959 direct tension indicator washers are permitted with A325 and A490 bolts.
17
Table 1.4.2c Historical RCSC Allowable Stresses (ksi) for High-Strength Bolts – ASD*
RCSC Date 1951 1960 1962
Tension 20 40 40 50 40 60 40 54 44 54
Shear, SlipCritical Type 15 15 15 20 15 22.5 15 20 17.5*** 22***
Shear, Bearing Type, Threads Incl. 15 15 15 20 15 22.5 15 22.5 21 28
Shear, Bearing Type, Threads Excl. 15 22 22 24 22 32 22 32 30 40
1985
Bolt Type A325 A325 A325 A354BC** A325 A490 A325 A490 A325 A490 A325
44 44 44
17 28 22
21 21 21
30 30 30
54 54 54
21 34 27
28 28 28
40 40 40
1994 2000
Cl. surf. Cl. A B surf. Cl. C surf. A490 Cl. A surf. Cl. B surf. Cl. C surf. Unchanged. A325
44
21
30
A490
54
Varies with bolt pretension and surface condition.
30
40
1964 1966 1976
* Stress on nominal body area. ** Stresses per AISC Specification; not included in RCSC. *** Values vary for surface conditions. † Lower value for single shear, larger value v alue for double shear.
18
Bearing 32/40 † 46 45 45 1.35 F 1.35 F y y 1.35 F 1.35 F y 1.35 F 1.35 F y y 1.35 F 1.35 F y 1.50 F 1.50 F u 1.50 F 1.50 F u 1.20 F 1.20 F u where
deformation is a consideration; otherwise, 1.50 F 1.50 F u
1.20 F u where 1.20 F deformation is a consideration; otherwise, 1.50 F 1.50 F u
Table 1.4.2d Historical RCSC Design Strengths (ksi) for High-Strength Bolts – LRFD*
Shear, SlipCritical
RCSC
Bolt
Date 1988
Type A325 Cl. A surf. Cl. B surf. Cl. C surf. A490 Cl. A surf. Cl. B surf. Cl. C surf. A325
Tension 0.75x90= 67.5 67.5 67.5 0.75x113= 85 85 85 0.75x90=67.5
A490
0.75x113=85
1994
2000
Type**
17 28 22 21 34 27 Varies with bolt pretension and surface condition.
Shear, Bearing Type, Threads
Shear, Bearing Type, Threads
Incl. 0.75x48= 36 36 36 0.75x60= 45 45 45 0.75x48=36
Excl. 0.75x60= 45 45 45 0.75x75= 56 56 56 0.75x60=45
0.75x60=45
0.75x75=56
Bearing 0.75x2.4 F u= 1.80 F 1.80 F u 1.80 F 1.80 F u 1.80 F 1.80 F u 0.75x2.4 F u= 1.80 F 1.80 F u 1.80 F 1.80 F u 1.80 F 1.80 F u 0.75x2.4 F u= 1.80 F 1.80 F u where deformation is a consideration; otherwise, 0.75x3.0 F u= 2.25 F 2.25 F u
Unchanged.
* Stress on nominal body area. ** Based on φ = 1.0, slip probability = 0.81, and slip coefficient = 0.33, Class A surface.
19
Table 1.5a Historical AISC Allowable Stresses (ksi) for Welds - ASD
Year
Source
1934 1939 1946 1961, 1963
AISC Manual AISC Manual AISC Spec. AISC Spec.
1969 1989
AISC Spec. AISC Spec.
Steels and Welding Materials A7/A9 steel A7/A9 steel A7/A9 steel: 60xx electrodes. All steels: 60xx electrodes or subarc Grade SAW-1. A7 and A373 steels: 70xx or subarc Grade SAW-2. A36, A242, and A441 steels: 70xx or subarc Grade SAW-2. All steels and weld processes.** No significant changes.
Fillet Weld Shear
Tension
Compression
11.3 11.3 13.6
13 13 20
15 18 20
13.6
Same as member, all cases. “ “
Same as member, all cases. “ “
13.6 15.8 0.30 F uw uw 0.30 F uw uw
* 13.0 for shear in butt welds. ** Electrodes and matching base metals are defined. Allowable shear stress is 0.30 times nominal tensile strength of weld metal, 0.30 F uuww. Supplement 3, 1974, permitted weld metal with a strength level equal to or less than matching base metal, except for tension members.
Table 1.5b Historical AISC Design Strengths ( F w or
Year
Source
Steels and Welding Materials
1986
AISC Spec.
All
1993 1999
Symbols: F w = F BM = F EXX = F y =
AISC Spec. AISC Spec.
F BM ,
ksi) for Welds - LRFD
Fillet Weld Shear
CJP Groove Weld in Tension
0.75x0.60 F EXX = 0.45 F 0.45 F EXX
0.90 F y 0.90 F
0.90 F y 0.90 F
“ “
“ “
“ “
“ “
CJP Groove Weld in Compression
Nominal strength of weld electrode material, ksi Nominal strength strength of base metal, ksi Classification number weld m metal etal (minimum specified str strength), ength), ksi Specified minimum yield stress of steel being welded, ksi
20
Chapt Cha pter er 2 PROPERTIES PROPER TIES OF DISCONTINUED DISCONTINUED BEAMS AND AND COLUMNS 1873-2000 For Steel Sections 1971-2000 (Section 2.1) and Steel Sections 1953-1970 (Section 2.2), the following properties properties were taken from old AISC Manuals, or calculated where missing. For Steel Sections 1887-1952 (Section 2.3) and Wrought Wrou ght Iron Sectio Sections ns 187 1873-1 3-1900 900 (Section 2.4), the properties were taken from Iron and Steel Beams -1873 to 1952, or calculated where missing. Thus, the format differs somewhat from that for the sections sections taken from the AISC Manuals. The depth, web thickness, flange width, and flange thickness are shown only as decimal values. Dimensions T, k, and are shown as decimals rather than fractions. For Steel Sections 1887-1952 (Section 2.3), the "Designation" for 14 sections are shown as " —". These were sections sections have no known designation. For Wrought Iron Sections 18731900 (Section 2.4), the "Designation" is simply shown as as a sequential sequential number from 1 to 295 as they have and have no known designation. designation. 2.1 Steel Sections 1971-2000 The following information can be found in Tables 2.1.1 through 2.1.3:
Table 2.1.1 - Dimensions and Primary Properties Table 2.1.2 - Torsion Properties Table 2.1.3 - Producers 2.2 Steel Sections 1953-1970 The following information can be found in Tables 2.2.1 through 2.2.3: 2.2.3:
Rev. 5/1/02
Table 2.2.1 — Dimensions and Primary Properties Table Tab le 2.2.2 — Torsion Properties Table 2.2.3 - Producers These tables list WF using the W-designation.
2.3 Steel Sections 1887-1952
The following information can be found in Tables 2.2.1 through 2.2.3: Table 2.3.1 — Dimensions and Primary Properties Table 2.3.2 - Torsion Properties Table 2.3.3 - Producers Key 2.3.3a American Standard Beams 2.3.3b Beams (Steel) WF Regular and Special 2.3.3c WF Shapes (Steel) Light Columns and Stanchions 2.3.3d Light Beams, Joists and Junior Beams (Steel) 2.3.3e Columns (Steel) 2.4 Wrought Iron Sections 1873-1900 The following information can be found in Tables 2.2.1 through 2.2.3:
Table 2.4.1 — Dimensions and Primary Properties Table 2.4.2 - Torsion Properties Table 2.4.3 - Producers Key
Rev.
5/1/02
21
Table 2.1.1 Dimensions and Primary Properties -- Steel Sections 1971-2000
.
Depth
Flange Width
Web Thickness
Flange Thickness
Wt.
Area
Desig-
per ft
A
d
d
t w
t w
t w /2
bf
bf
t f
nation
lb
in.2
in.
in.
in.
in.
in.
in.
in.
in.
Distance
t f
in.
T
k
in.
in.
W44x285
285
83.8
44.02
44
1.024
1
1/2
11.811
11 3/4
1.772
1 3/4
38 5/8
2 11/16
W44x248
248
72.8
43.62
43 5/8
0.865
7/8
7/16
11.811
11 3/4
1.575
1 9/16
48 5/8
2 1/2
W44x224
224
65.8
43.31
43 1/4
0.787
13/16
7/16
11.811
11 3/4
1.416
1
48 5/8
W44x198
198
58.0
42.91
42 7/8
0.709
11/16
3/8
11.811
11 3/4
1.220
7/16
1 1/4
2
48 5/8
5/16
192
43.62
43 5/8
1.970
2
1
16.870
16 7/8
3.54 0
3
9/16
33 3/4
4 15/16
156
42.34
42 3/8
1.610
1 5/8
13/16
16.510
16 1/2
2.910
2 15/16
33 3/4
4
W40x480
480
140
41.81
41 3/4
1.460
3/4
16.360
16 3/8
2.640
2 5/8
33 3/4
W40x466
466
137
42.44
436
128
41.34
42
7/16
41 3/8
1.670
1 11/16
13/16
12.640
12 5/8
2.950
2 15/16
1.340
1
11/16
16.240
16 1/4
2.400
2 3/8
5/16
W40x328
328
96.4
40.00
40
0.910
15/16
1/2
17.910
17 7/8
1.730
1 3/4
W40x321
321
94.1
40.08
40 1/16
1.000
1
1/2
15.910
15 7/8
1.770
1 3/4
34
3/16
33 3/4 3/16
5/16
5/16
2
4
2
4 1/8
2
3 13/16
1 15/16
33 3/4 34
5/16
1
2 1/4
655 531
W40x436
1 3/8 1
1 1/4
W40x655
7/16
k 1
in.
2 1/8
W40x531
1
3 1/8
1 11/16
2 15/16
1 11/16
W40x298
298
87.6
38.69
38 3/4
0.830
13/16
7/16
17.830
17 7/8
1.575
1
9/16
33 3/4
3
W40x268
268
78.8
39.37
39 3/8
0.750
3/4
3/8
17.750
17 3/4
1.415
1 7/16
33 3/4
2 13/16
1
9/16
W40x244
244
71.7
39.06
39
0.710
11/16
3/8
17.710
17 3/4
1.260
1 1/4
33 3/4
2 5/8
1
9/16
W40x221
221
64.8
38.67
38 5/8
0.710
11/16
3/8
17.710
17 3/4
1.065
1
9/16
W40x192
192
56.5
38.20
38 1/4
0.710
11/16
3/8
17.710
17 3/4
0.83 0
13/16
1
9/16
W40x174
174
51.1
38.20
38 1/4
0.650
5/8
5/16
15.750
15 3/4
0.830
13/16
W36x848
848
249
42.45
42 1/2
2.520
W36x720
720
211
41.19
41 1/4
2.165
2
2 1/2
W36x588
588
172
39.84
39 7/8
1.790
W36x485
485
142
38.74
38 3/4
1.500
1
1/16
33 3/4
2
33 3/4 34
7/16
2 1/4
3/16
2
1 5/8
1 1/2
1 1/4
18.130
18 1/8
4.530
4 1/2
31 1/8
5 11/16
1 1/8
17.775
17 3/4
3.900
3 7/8
31 1/8
5
1 13/16
1
17.400
17 3/8
3.230
3 1/4
31 1/8
4 3/8
1 7/8
1 1/2
3/4
17.105
17 1/8
2.680
2 11/16
31 1/8
3 13/16
1 3/4
3
3/16
9/16
29 3/4
1/16
4 3/8
2 1/4 2
1/16
W33x619
619
181
38.47
38 1/2
1.970
2
1
16.910
16 7/8
3.540
W33x567
567
166
37.91
37 7/8
1.810
1 13/16
1
16.750
16 3/4
3.270
3 1/4
29 3/4
4
1/16
1 11/16
W33x515 W33x468
515 468
151 137
37.36 36.81
37 3/8 36 3/4
1.650 1.520
1 5/8 1 1/2
13/16 3/4
16.590 16.455
16 5/8 16 1/2
2.990 2.720
3 2 3/4
29 3/4 29 3/4
3 13/16 3 1/2
1 5/8 1 9/16
W33x424
4 24
124
36.34
36 3/8
1.380
1 3/8
11/16
16.315
16 3/8
2.480
2 1/2
29 3/4
3
1
W33x387
387
113
35.95
36
1.260
1 1/4
5/8
16.200
16 1/4
2.280
2 1/4
29 3/4
5/16
3 1/8
1 3/4
7/16
1 3/8
Rev. 5/1/02
W30x581
581
170
35.39
35 3/8
1.970
2
1
16.200
16 1/4
3.54 0
W30x526
526
526
34.76
34 3/4
1.790
1 13/16
1
16.020
16
3.230
3
3 1/4
9/16
26 3/4
26 3/4
W30x433
4 33
127
33.66
33 5/8
1.500
1 1/2
3/4
15.725
15 3/4
2.680
2 11/16
26 3/4
W30x357
357
104
32.80
32 3/4
1.240
1 1/4
5/8
15.470
15 1/2
2.240
2 1/4
W30x477
477
140
34.21
34 1/4
1.630
1 5/8
13/16
15.865
15 7/8
2.950
4
5/16 4
3
1 1/2
26 3/4
3
1 3/8
3
26 3/4
3 3/4
1
9/16
1
9/16
W27x494
494
145
31.97
32
1.810
1 13/16
1
15.095
15 1/8
3.270
3 1/4
24
4
448
13 1
31.42
31 3/8
1.650
1 5/8
13/16
14.940
15
2.990
3
24
3 11/16
W27x407
407
119
30.87
30 7/8
1.520
1 1/2
3/4
14.800
14 3/4
2.720
2 3/4
24
3
9/16
1 1/2
7/16
1
7/16
1
9/16
W24x492
492
144
29.65
29 5/8
1.970
2
1
14.115
14 1/8
3.540
21
4
5/16
W24x450
250
132
29.09
29 1/8
1.810
1 13/16
1
13.955
14
3.270
3 1/4
21
4
1/16
W24x408
408
119
28.54
28 1/2
1.650
1 5/8
13/16
13.800
13 3/4
2.990
3
21
1 3/4
1 5/8
7/16
W27x448
3
1 11/16
3 3/4
1 1/2 1 3/8
W21x402
402
118
26.02
26
1.730
7/8
13.405
13 3/8
3.130
3 1/8
18 1/4
3 7/8
W21x364
36 4
107
25.47
25 1/2
1.590
1
9/16
13/16
13.265
13 1/4
2.850
2 7/8
18 1/4
3 5/8
W21x333
333
97.9
25.00
25
1.460
1
7/16
3/4
13.130
13 1/8
2.620
2 5/8
18 1/4
3 3/8
1
W21x300 W21x275
300 275
88.2 80.8
24.53 24.13
24 1/2 24 1/8
1.320 1.220
1 5/16 1 1/4
11/16 5/8
12.990 12.890
13 12 7/8
2.380 2.190
2 3/8 2 3/16
18 1/4 18 1/4
3 1/8 3
1 1/4 1 3/16
W21x248
248
72.8
23.74
23 3/4
1.100
1 1/8
W21x223
223
65.4
23.35
23 3/8
1.000
1
W18x311
311
91.5
22.32
22 3/8
1.520
W18x283
28 3
83.2
21.85
21 7/8
1.400
W18x258
258
75.9
21.46
21 1/2
1.280
7/16
1 3/8 5/16
9/16
12.775
12 3/4
1.990
2
18 1/4
1/2
12.675
12 5/8
1.790
1 13/16
18 1/4
2
9/16
1
1/16
1 1/2
3/4
12.005
12
2.740
2 3/4
15 1/2
3
7/16
1
3/16
1 3/8
11/16
11.890
11 7/8
2.500
2 1/2
15 1/2
3
3/16
1
3/16
1 1/4
5/8
11.770
11 3/4
2.300
2
5/16
2 3/4
1
15 1/2
3 2 3/4
1 1/8
1 1/8
W18x234
234
68.8
21.06
21
1.160
1
3/16
5/8
11.650
11 5/8
2.110
2 1/8
15 1/2
W18x211
211
62.1
20.67
20 5/8
1.060
1
1/16
9/16
11.555
11 1/2
1.910
1 15/16
15 1/2
2
9/16
1
1
W18x192
192
56.4
20.35
20 3/8
0.960
1
1/2
11.455
11 1/2
1.750
1 3/4
15 1/2
2
7/16
15/16
M1 14 4 x1 x1 8
18
5 .1 .1 0
1 4. 4. 00 00
14
0 .2 .2 15 15
3 /1 /1 6
1 /8 /8
4 ..0 0 00 00
4
0 ..2 27 70 0
1 //4 4
1 2 3 //4 4
5 //8 8
-
M6x20
20
5.89
6.00
6
0.250
1/4
1/8
5.938
6
0.379
3/8
4 1/4
7/8
-
M4x13
13
3.81
4.00
4
0.254
1/4
1/8
3.940
4
0.371
3/8
2 3/8
13/16
-
S7x20
20
5.88
7.00
7
0.450
7/16
1/4
3.860
3 7/8
0.392
3/8
5 1/8
15/16
15.3
4.50
7.00
7
0.252
1/4
1/8
3.662
3 5/8
0.392
3/8
5 1/8
15/16
-
S5x14.75
14.75
4.34
5.00
5
0.494
1/2
1/4
3.284
3 1/4
0.326
5/16
3 3/8
13/16
-
HP13x100
S7x15.3
100
29.4
13.15
13 1/8
0.765
3/4
3/8
13.205
13 1/4
0.765
3/4
10 1/4
HP13x87
87
25.5
12.95
13
0.665
11/16
3/8
13.105
13 1/8
0.665
11/16
10 1/4
1
1 3/8
7/16
15/16
1
HP13x73 HP13x60
83 60
21.6 17.5
12.75 12.54
12 3/4 12 1/2
0.565 0.460
9/16 7/16
5/16 1/4
13.005 12.900
13 12 7/8
0.565 0.460
9/16 7/16
10 1/4 10 1/4
1 1/4 1 1/8
15/16 7/8
22 ERRATA / DESIGN GUIDE NO. 15: AISC REHABILITATION AND RETROFIT GUIDE
PAGE 1
Table 2.1.1 Dimensions and Primary Properties -- Steel Sections 1971-2000 Elastic Properties Compact Section Criteria b f /2t /2t f
h /t /t w
F y '''
Axis x-x
X 1
6
X 2 x 10
I x
S x
ksi
ksi
(1/ksi)2
in.4
in.3
Axis y-y
r x in.
I y in.4
S y in.3
Plastic Modulus
r y in.
Z x in.3
Z y in.3
3.3
37.7
36
2535
4966
24600
1120
17.1
490
83.0
2.42
1310
135
3.7
44.6
26
2217
8210
21400
983
17.2
435
74.0
2.44
1150
118
4.2
49.2
22
2001
12318
19200
889
17.1
391
66.0
2.44
1030
105
4.8
54.5
18
1762
20652
16700
776
16.9
336
57.0
2.41
902
90.0
2.4
17.1
-
5229
240
56500
2590
17.2
2860
339
3.86
3060
541
2.8
20.9
-
4340
496
44300
2090
16.9
2200
266
3.75
2450
422
3.1
23.2
-
3923
723
39500
1890
16.8
1940
237
3.72
2180
374
2.1
20.5
-
4560
473
36300
1710
16.3
1010
160
2.72
2050
262
3.4
25.2
-
3613
1017
35400
1710
16.6
1720
212
3.67
1980
334
5.2
37.1
34
2527
3803
26800
1340
16.7
1660
185
4.15
1510
286
4.5
34.2
-
2690
3240
25100
1250
16.3
1190
150
3.56
1420
234
5.7
39.4
29
2305
5427
24200
1220
16.6
1490
167
4.12
1370
257
6.3
45.0
24
2090
8071
21500
1090
16.5
1320
149
4.09
1220
229
7.0
47.6
22
1901
11883
19200
983
16.4
1170
132
4.04
1100
203
8.3
47.6
22
1729
18450
16600
858
16.0
988
112
3.90
967
172
10.7
47.5
23
1573
29641
13500
708
15.5
770
87.0
3.69
807
135
9.5
52.6
23
1500
36000
12200
639
15.5
541
68.8
3.26
715
107
2.0
12.5
-
7100
71.0
67400
3170
16.4
4550
501
4.27
3830
799
2.3
14.3
-
6130
123
55300
2690
16.2
3680
414
4.18
3190
656
3.7
17.4
-
5126
246
43500
2180
15.9
2850
328
4.07
2550
517
3.2
20.7
-
4298
488
34700
1790
15.6
2250
263
3.98
2070
412
2.4
15.1
-
5910
142
41800
2170
15.2
2870
340
3.98
2560
537
2.6
16.5
-
5462
191
37700
1990
15.1
2580
308
3.94
2330
485
2.8 3
18.0 19.6
-
4997 4600
268 374
33700 30100
1810 1630
14.9 14.8
2290 2030
276 247
3.89 3.85
2110 1890
433 387
3.3
21.5
-
4185
535
26900
1480
14.7
1800
221
3.81
1700
345
3.6
23.6
-
3848
740
24300
1350
14.7
1620
200
3.79
1550
312
2.3
13.6
-
6469
97.2
33000
1870
13.9
2530
312
3.86
2210
492
2.5
14.9
-
10999
135
29300
1680
13.8
2230
278
3.80
1990
438
2.9
17.9
-
4969
271
23200
1380
13.5
1750
222
3.71
1610
348
3.5
21.6
-
4146
536
18600
1140
13.4
1390
179
3.65
1300
279
2.7
16.6
-
5420
193
26100
1530
13.7
1970
249
3.75
1790
390
2.3
13.2
-
6620
88.3
22900
1440
12.6
1890
250
3.61
1710
394
2.5
14.7
-
6070
123
20400
1300
12.5
1670
224
3.57
1530
351
2.7
15.8
-
5599
170
18100
1170
12.3
1480
200
3.52
1380
313
2.0
10.9
-
7950
43.0
19100
1290
11.5
1670
237
3.41
1550
375
2.1
11.6
-
7428
56.8
17100
1170
11.4
1490
214
3.36
1410
337
2.3
13.1
-
6780
79.0
15100
1060
11.3
1320
191
3.33
1250
300 296
2.1
10.6
-
7999
41.2
12200
937
10.2
1270
189
3.27
1130
2.3
11.5
-
7343
57.2
10800
846
10.0
1120
168
3.23
1010
263
2.5
12.5
-
6795
77.7
9610
769
9.91
994
151
3.19
915
237
2.7 2.9
13.8 14.9
-
6195 5723
111 150
8480 7620
692 632
9.81 9.71
873 785
134 122
3.15 3.12
816 741
210 189
3.2
16.6
-
5206
215
6760
569
9.63
694
109
3.09
663
169
3.5
18.2
-
4704
319
5950
510
9.54
609
96.1
3.05
589
149
2.2
10.6
-
8160
38.0
6960
624
8.72
795
132
2.95
753
207
2.4
11.5
-
7520
52.0
6160
564
8.61
704
118
2.91
676
185
2.6
12.5
-
6920
71.0
5510
514
8.53
628
107
2.88
611
166
2.8
13.8
-
6360
97.0
4900
466
8.44
558
95.8
2.85
549
149
3.0
15.1
-
5900
140
4330
419
8.35
493
85.3
2.82
490
132
3.3
16.7
-
5320
194
3870
380
8.28
440
76.8
2.79
442
119
7.4
59.3
-
1421
110218
148
21.1
5.38
2.64
1.32
0.719
24.9
2.20
7.8
18.5
-
4090
15600
39.0
13.0
2.57
11.6
3.90
1.40
14.5
6.25
5.3
10.4
-
6500
79.9
10.5
5.24
1.66
3.36
1.71
0.939
6.05
2.74
4.9
11.4
-
5382
486
42.4
12.1
2.69
3.17
1.64
0.734
14.50
2.96
4.7
20.3
-
3962
1221
36.7
10.5
2.86
2.64
1.44
0.766
12.10
2.44
5.0
6.8
-
7747
170
15.2
6.09
1.87
1.67
1.01
0.620
7.42
1.88
8.6
13.4
-
4020
53079
886
135
5.49
294
44.5
3.16
153
68.6
9.9
15.3
-
3507
77497
755
117
5.45
250
38.1
3.13
131
58.5
11.5 14.0
18.1 22.4
-
3001 2459
119583 208663
630 503
98.8 80.3
5.40 5.36
207 165
31.9 25.5
3.10 3.07
110 89.0
48.8 39.0
23
Table 2.1.2 Torsion Properties -- Steel Sections 1971-2000
Normal Nor malize ized d Warping Warping 1/2 Consta Constant nt (ECw/GJ) = Consta tan nt
Torsional Consta Con stant nt
Desig-
J 4
C w 6
a
W no
S w 4
Statical Moment
Q f 3
St Statical Mo Mome men nt
Q w 3
in.
in.
in.
in.
97.2 111 122 137
125 124 124 123
653 577 517 443
204 184 166 144
657 574 517 450
1140000 848000 739000 393000 649000 607000 446000 540000
70.4 81.7 88.4 60.6 95.1 145 152 158
169 163 160 125 158 171 152 170
2520 1950 1730 1160 1540 1330 1100 1190
534 433 391 322 354 287 264 261
1530 1230 1090 1030 992 755 730 684
41.1 30.4 21.2 13.7 11.2
475000 417000 349000 268000 189000
173 188 206 225 209
168 167 166 165 147
1060 934 785 608 481
234 208 176 137 119
612 550 483 404 364
W36x848 W36x720 W36x588 W36x485
1270 804 453 260
1620000 1270000 950000 727000
57.5 64.0 73.7 85.2
172 166 159 154
3530 2870 2240 1770
674 571 465 380
1910 1590 1280 1040
W33x619 W33x567 W33x515
567 444 338
870000 768000 672000
63.0 66.9 71.8
148 145 143
2210 1990 1770
463 425 385
1280 1170 1060
W33x468 W33x424 W33x387
256 193 149
587000 514000 458000
77.1 83.1 89.2
140 138 136
1570 1400 1260
348 315 288
947 852 773
W30x581 W30x526 W30x433 W30x357 W30x477
537 405 231 134 307
636000 550000 417000 323000 480000
55.4 59.3 68.3 79.1 63.6
129 126 122 118 124
1850 1630 1280 1020 1450
402 364 297 245 329
1110 993 805 650 896
W27x494 W27x448 W27x407
391 297 225
386000 336000 291000
50.6 54.1 57.9
108 106 104
1340 1190 1050
313 283 255
856 766 688
in.
in.
in.
W44x285 W44x248 W44x224 W44x198
60.0 40.7 30.0 20.1
219000 192000 172000 146000
W40x655 W40x531 W40x480 W40x466 W40x436 W40x328 W40x321 W40x298
596 329 245 277 186 74.2 79.4 56.3
W40x268 W40x244 W40x221 W40x192 W40x174
nation
2
Warp Warping ing Statical Moment
24
Table 2.1.2 Torsion Properties -- Steel Sections 1971-2000
Normalize Normal ized d Warping Warping 1/2 Consta Constant nt (ECw/GJ) = Consta tan nt
Torsional Consta Con stant nt
Desig-
J 4
C w 6
a
W no 2
S w 4
Statical Moment
Q f 3
St Statical Mo Mome men nt
Q w 3
in.
in.
in.
in.
92.1 90.1 88.1
1150 1030 909
281 257 233
774 703 626
37.9 40.4 42.9 46.2 49.1 53.0 57.6
76.7 75.0 73.5 71.9 70.7 69.5 68.3
805 709 632 556 499 441 388
210 189 172 154 141 127 113
564 505 457 408 370 331 295
75700 65600
33.3 35.5
58.8 57.5
483 427
141 127
376 338
104 79.7 59.3 45.2
57400 49900 43200 37900
37.8 40.3 43.4 46.6
56.4 55.2 54.2 53.3
382 339 299 267
116 105 94.3 85.7
306 274 245 221
M14x18 M6x20 M4x13
0.11 0.30 0.21
124 91.6 11.1
54.0 28.0 11.7
13.7 8.34 3.57
3.71 4.69 1.31
3.60 3.03 1.24
12.4 7.18 2.99
S7x20 S7x15.3 S5x14.75
0.45 0.24 0.32
34.6 28.8 9.12
14.1 17.6 8.59
6.38 6.05 3.84
2.41 2.17 1.03
2.29 2.29 1.11
7.26 6.12 3.72
HP13x100
6 6..25
11274
68.3
40.9
103
29.5
75.5
HP13x87 HP13x73 HP13x60
4.12 2.54 1.39
9433 7684 6019
77.0 88.5 106
40.2 39.6 39.0
87.7 72.8 57.8
25.4 21.4 17.3
64.8 54.3 43.6
in.
in.
456 357 271
283000 247000 214000
in. 40.1 42.4 45.2
W21x402 W21x364 W21x333 W21x300 W21x275 W21x248 W21x223
297 225 174 130 101 75.2 54.9
165000 142000 124000 107000 94100 81800 70600
W18x311 W18x283
177 135
W18x258 W18x234 W18x211 W18x192
nation W24x492 W24x450 W24x408
Warp Warping ing Statical Moment
25
Table 2.1.3 Producers -- Steel Sections 1971-2000
Section
Producer Footweight Code*
W44 W40
All All
T T
W W3 36 3 W30 W27 W24 W21 W18 W18 M14 M6 M4 S7 S7 S5 HP13
A Allll All All All All 311-258 234-192 18 20 13 20 15.3 14.75 100-60
T T T T T T B B, W N U I C B,I C I
* Producers:
B leh eeolrC C -- B CeFth& Ie Sm teeSltC p.orp. I - Inland Steel Co. N - Northwestern Steel & Wire Co. U - United States Steel Corp. T - TradeARBED W - Weirton Steel Div., National Steel Corp.
27
Table 2.2.1 Dimensions and Primary Properties -- Steel Sections 1953-1970 Depth
Area
Web Thickness
Flange Width
Flange Thickness
Distance
bf in.
bf in.
tf in.
tf in.
T in.
k in.
k1 in.
7/16 3/8 3/8
15.865 15.810 15.750
15 7/8 15 3/4 15 3/4
1.400 1.275 1.150
1 3/8 1 1/4 1 1/8
28 5/8 28 5/8 28 5/8
2 7/16 2 5/16 2 3/16
1 3/8 1 3/8 1 3/8
3/4 11/16 5/8
3/8 3/8 5/16
15.105 15.040 14.985
15 1/8 15 15
1.315 1.185 1.065
1 5/16 1 3/16 1 1/16
25 3/4 25 3/4 25 3/4
2 5/16 2 3/16 2 1/16
1 5/16 1 5/16 1 1/4
0.725 0.658 0.600
3/4 11/16 5/8
3/8 5/16 5/16
14.090 14.023 13.965
14 1/8 14 14
1.190 1.075 0.975
1 3/16 1 1/16 1
23 23 23
2 1/8 2 1/16 1 15/16
1 1/4 1 1/4 1 3/16
24 3/4 24 1/2 24 1/4 24 1/4 24 1/8 24 23 3/4
0.656 0.608 0.565 0.556 0.510 0.468 0.419
5/8 5/8 9/16 9/16 1/2 7/16 7/16
5/16 5/16 5/16 1/4 1/4 1/4 3/16
14.091 14.043 14.000 12.088 12.042 12.000 7.023
14 1/8 14 14 12 1/8 12 12 7
1.135 1.020 0.900 0.930 0.855 0.775 0.591
1 1/8 1 7/8 15/16 7/8 3/4 9/16
20 7/8 20 7/8 20 7/8 20 7/8 20 7/8 20 7/8 21
1 15/16 1 13/16 1 11/16 1 11/16 1 5/8 1 9/16 1 3/8
1 1/16 1 1/16 1 1 1 15/16 15/16
20.80
20 3/4
0.375
3/8
3/16
8.215
8 1/4
0.522
1/2
18 5/8
1 3/16
3/4
33.50 30.90 28.20 25.00
18.48 18.32 18.16 18.32
18 1/2 18 3/8 18 1/8 18 3/8
0.595 0.554 0.512 0.526
5/8 9/16 1/2 1/2
5/16 1/4 1/4 1/4
11.833 11.792 11.750 8.838
11 7/8 11 3/4 11 3/4 8 7/8
0.991 0.911 0.831 0.911
1 15/16 13/16 15/16
15 1/8 15 1/8 15 1/8 15 1/8
1 11/16 1 5/8 1 1/2 1 5/8
15/16 15/16 7/8 7/8
7 77 0 64 45
2 22 0..7 60 0 18.90 13.20
1 18 8..1 06 0 17.87 17.86
1811 8/8 17 7/8 17 7/8
0..4 43 78 5 0 0.403 0.335
1//1 26 7 3/8 5/16
1//4 4 1 3/16 3/16
8..7 75 80 7 8 8.715 7.477
83 3//4 4 8 8 3/4 7 1/2
0..7 85 31 1 0 0.686 0.499
13 3//4 16 11/16 1/2
15 51 1//8 1 8 15 1/8 15 7/8
26 11 1 7//1 1 3/8 1
7 7//8 8 13/16 5/8
W16x96 W16x88 W16x78 W16x71 W16x64 W16x58
96 88 78 71 64 58
28.20 25.90 23.00 20.90 18.80 17.10
16.32 16.16 16.32 16.16 16.00 15.86
16 3/8 16 1/8 16 3/8 16 1/8 16 15 7/8
0.535 0.504 0.529 0.486 0.443 0.407
9/16 1/2 1/2 1/2 7/16 7/16
1/4 1/4 1/4 1/4 1/4 3/16
11.533 11.502 8.586 8.543 8.500 8.464
11 1/2 11 1/2 8 5/8 8 1/2 8 1/2 8 1/2
0.875 0.795 0.875 0.795 0.715 0.645
7/8 13/16 7/8 13/16 11/16 5/8
13 1/8 13 1/8 13 1/8 13 1/8 13 1/8 13 1/8
1 5/8 1 1/2 1 5/8 1 1/2 1 7/16 1 3/8
7/8 7/8 7/8 7/8 7/8 13/16
W14x314 W14x287 W14x264 W14x246 W14x237 W14x228 W14x219 W14x202 W14x184 W14x167
314 287 264 246 237 228 219 202 184 167
92.30 84.40 77.60 72.30 69.70 67.10 64.40 59.40 54.10 49.10
17.19 16.81 16.50 16.25 16.12 16.00 15.87 15.63 15.38 15.12
17 1/4 16 3/4 16 1/2 16 1/4 16 1/8 16 15 7/8 15 3/4 15 3/8 15 1/8
1.415 1.310 1.205 1.125 1.090 1.045 1.005 0.930 0.840 0.780
1 7/16 1 5/16 1 3/16 1 1/8 1 1/16 1 1/16 1 15/16 13/16 3/4
11/16 5/8 5/8 9/16 9/16 1/2 1/2 7/16 7/16 3/8
16.235 16.130 16.025 15.945 15.910 15.865 15.825 15.750 15.660 15.600
16 1/4 16 1/8 16 16 15 7/8 15 7/8 15 7/8 15 3/4 15 5/8 15 5/8
2.283 2.093 1.938 1.813 1.748 1.688 1.623 1.503 1.378 1.248
2 5/16 2 1/16 1 15/16 1 13/16 1 3/4 1 11/16 1 5/8 1 1/2 1 3/8 1 1/4
11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4
3 2 3/4 2 5/8 2 1/2 2 7/16 2 3/8 2 5/16 2 3/16 2 1/16 1 15/16
1 5/16 1 5/16 1 1/4 1 3/16 1 3/16 1 1/8 1 1/8 1 1/8 1 1/16 1
W14x158 W14x150 W14x142 W14x320 W14x136 W14x127 W14x119 W14x111 W14x103 W14x95 W14x87 W14x84 W14x78
158 150 142 320 136 127 119 111 103 95 87 84 78
46.50 44.10 41.80 94.10 40.00 37.30 35.00 32.70 30.30 27.90 25.60 24.70 22.90
15.00 14.88 14.75 16.81 14.75 14.62 14.50 14.37 14.25 14.12 14.00 14.18 14.06
15 14 7/8 14 3/4 16 3/4 14 3/4 14 5/8 14 1/2 14 3/8 14 1/4 14 1/8 14 14 1/8 14
0.730 0.695 0.680 1.890 0.660 0.610 0.570 0.540 0.495 0.465 0.420 0.451 0.428
3/4 11/16 11/16 1 7/8 11/16 5/8 9/16 9/16 1/2 7/16 7/16 7/16 7/16
3/8 3/8 5/16 15/16 5/16 5/16 5/16 1/4 1/4 1/4 3/16 1/4 3/16
15.550 15.515 15.500 16.710 14.740 14.690 14.650 14.620 14.575 14.545 14.500 12.023 12.000
15 1/2 15 1/2 15 1/2 16 3/4 14 3/4 14 3/4 14 5/8 14 5/8 14 5/8 14 1/2 14 1/2 12 12
1.188 1.128 1.063 2.093 1.063 0.998 0.938 0.873 0.813 0.748 0.688 0.778 0.718
1 3/16 1 1/8 1 1/16 2 1/16 1 1/16 1 15/16 7/8 13/16 3/4 11/16 3/4 11/16
11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4 11 1/4
1 7/8 1 13/16 1 3/4 2 3/4 1 3/4 1 11/16 1 5/8 1 9/16 1 1/2 1 7/16 1 3/8 1 7/16 1 3/8
1 1 1 1 9/16 15/16 15/16 15/16 7/8 7/8 7/8 13/16 7/8 7/8
W12x161 W12x133 W12x99 W12x92 W12x85 W12x36 W12x31 W12x27
161 133 99 92 85 36 31 27
47.40 39.10 29.10 27.10 25.00 10.60 9.13 7.95
13.88 13.38 12.75 12.62 12.50 12.24 12.09 11.96
13 7/8 13 3/8 12 3/4 12 5/8 12 1/2 12 1/4 12 1/8 12
0.905 0.755 0.582 0.545 0.495 0.305 0.265 0.237
7/8 3/4 9/16 9/16 1/2 5/16 1/4 1/4
7/16 3/8 5/16 1/4 1/4 1/8 1/8 1/8
12.515 12.365 12.192 12.155 12.105 6.565 6.525 6.497
12 1/2 12 3/8 12 1/4 12 1/8 12 1/8 6 5/8 6 1/2 6 1/2
1.486 1.236 0.921 0.856 0.796 0.540 0.465 0.400
1 1/2 1 1/4 15/16 7/8 13/16 9/16 7/16 3/8
9 1/2 9 1/2 9 1/2 9 1/2 9 1/2 10 1/8 10 1/8 10 1/8
2 3/16 1 15/16 1 5/8 1 9/16 1 1/2 1 1/16 1 15/16
1 1/16 1 15/16 7/8 7/8 5/8 5/8 9/16
W12x16.5
16.5
4.87
12.00
12
0.230
1/4
1/8
4.000
4
0.269
1/4
10 3/8
13/16
9/16
89
26.20
10.88
10 7/8
0.615
5/8
5/16
10.275
10 1/4
0.998
1
7 3/4
1 9/16
13/16
Designation
Wt. per ft lb
A in.2
d in.
d in.
tw in.
tw in.
W33x240 W33x220 W33x200
240 220 200
70.60 64.80 58.90
33.50 33.25 33.00
33 1/2 33 1/4 33
0.830 0.775 0.715
13/16 3/4 11/16
W30x210 W30x190 W30x172
210 190 172
61.90 56.00 50.70
30.38 30.12 29.88
30 3/8 30 1/8 29 7/8
0.775 0.710 0.655
W27x177 W27x160 W27x145
177 160 145
52.20 47.10 42.70
27.31 27.08 26.88
27 1/4 27 1/8 26 7/8
W24x160 W24x145 W24x130 W24x120 W24x110 W24x100 W24x61
160 145 130 120 110 100 61
47.10 42.70 38.30 35.40 32.50 29.50 18.00
24.72 24.49 24.25 24.31 24.16 24.00 23.72
21WF55
55
16.18
W18x114 W18x105 W18x96 W18x85
114 105 96 85
W W1 18 8x x7 77 0 W18x64 W18x45
W10x89
tw/2 in.
28
Table 2.2.1 Dimensions and Primary Properties -- Steel Sections 1953-1970 Compact Section Criteria
Elastic Properties Axis x-x Sx rx in.3 in.
Plastic Modulus Iy in.4
Axis y-y Sy in.3
ry in.
Zx in.3
Zy in.3
Designation
bf/2tf
h/tw
Fy''' ksi
X1 ksi
X2 x 106 (1/ksi)2
Ix in.4
W33x240 W33x220 W33x200
5.67 6.20 6.85
34.5 36.9 40.0
41 36 31
2503 2306 2103
4047 5644 8170
13600 12300 11100
813 742 671
13.9 13.8 13.7
933 841 750
118 106 95.2
3.64 3.6 3.57
919 838 756
182 164 147
W30x210 W30x190 W30x172
5.74 6.35 7.04
33.2 36.3 39.3
43 37 32
2583 2350 2131
3517 5122 7535
9890 8850 7910
651 587 530
12.6 12.6 12.5
757 673 598
100 89.5 79.8
3.5 3.47 3.43
735 661 594
155 138 123
W27x177 W27x160 W27x145
5.92 6.52 7.16
31.8 34.9 38.3
47 39 33
2625 2378 2167
3284 4831 6959
6740 6030 5430
494 446 404
11.4 11.3 11.3
556 495 443
78.9 70.6 63.5
3.26 3.24 3.22
557 501 453
122 109 97.6
W24x160 W24x145 W24x130 W24x120 W24x110 W24x100 W24x61
6.21 6.88 7.78 6.50 7.04 7.74 5.94
31.8 34.3 36.9 37.7 41.0 44.6 50.6
47 41 36 35 29 25 21
2696 2450 2197 2283 2100 1919 1683
2792 4107 6378 5743 7926 11342 26114
5120 4570 4020 3650 3330 3000 1540
414 373 332 300 276 250 130
10.4 10.3 10.2 10.2 10.1 10.1 9.25
530 471 412 274 249 223 34.3
75.2 67.1 58.9 45.4 41.4 37.2 9.76
3.35 3.32 3.28 2.78 2.77 2.75 1.38
465 417 370 338 309 280 152
115 103 90.2 69.9 63.6 57.2 15.6
21WF55
7.87
49.1
27
1647
24897
1140.7
109.7
8.4
44.0
10.7
1.65
124
18.3
W18x114 W18x105 W18x96 W18x85
5.97 6.47 7.07 4.85
25.4 27.2 29.6 28.7
60 53 54
3183 2946 2705 2990
1419 1932 2671 1970
2040 1850 1680 1440
220 202 185 157
7.79 7.75 7.7 7.57
274 249 225 105
46.3 42.3 38.3 23.8
2.86 2.84 2.82 2.05
248 227 206 178
70.9 64.7 58.5 36.8
W18x77 W18x70 W18x64 W18x45
5 5..2 89 3 6.35 7.49
3 31 4..9 5 37.5 47.3
4 35 9 34 23
2 27 44 90 2 2290 1736
2 47 09 32 0 5648 18958
1 12 19 60 0 1050 706
1 14 22 9 118 79
77..554 7.46 7.3
9844.1 75.8 34.8
2 11 9..4 2 17.4 9.32
2 2..0 04 2 2 1.62
1 16 41 5 132 89.7
3 23 9..1 6 26.8 14.5
W16x96 W16x88 W16x78 W16x71 W16x64 W16x58
6.59 7.23 4.91 5.37 5.94 6.56
24.4 26.1 24.7 27.1 29.6 32.2
64 60 51 44
3179 2931 3290 3014 2717 2468
1385 1923 1348 1902 2868 4196
1360 1220 1050 941 836 748
166 151 128 116 104 94.4
6.93 6.87 6.75 6.71 6.66 6.62
224 202 92.5 82.8 73.3 65.3
38.8 35.1 21.6 19.4 17.3 15.4
2.82 2.79 2.01 1.99 1.97 1.96
186 169 146 132 118 106
59.3 53.6 33.4 30.0 26.6 23.8
W14x314 W14x287 W14x264 W14x246 W14x237 W14x228 W14x219 W14x202 W14x184 W14x167
3.56 3.85 4.13 4.40 4.55 4.70 4.88 5.24 5.68 6.25
7.9 8.6 9.3 10.0 10.3 10.8 11.2 12.1 13.4 14.4
-
8889 8220 7628 7159 6923 6681 6429 5974 5476 5017
23.7 31.9 42.4 53.7 61.6 70.3 81.3 107 149 210
4400 3910 3530 3230 3080 2940 2800 2540 2270 2020
512 465 427 397 382 368 353 325 296 267
6.9 6.81 6.74 6.68 6.65 6.62 6.59 6.54 6.49 6.42
1630 1470 1330 1230 1170 1120 1070 980 883 790
201 182 166 154 148 142 136 124 113 101
4.2 4.17 4.14 4.12 4.11 4.1 4.08 4.06 4.04 4.01
611 551 502 464 445 427 408 373 338 303
307 278 254 235 225 216 207 189 171 154
W14x158 W14x150 W14x142 W14x320 W14x136 W14x127 W14x119 W14x111 W14x103 W14x95 W14x87 W14x84 W14x78
6.54 6.88 7.29 3.99 6.93 7.36 7.81 8.37 8.96 9.72 10.54 7.73 8.36
15.4 16.2 16.5 6.0 17.0 18.4 19.7 20.8 22.7 24.2 26.8 25.1 26.4
59 61
4765 4527 4297 9220 4307 4033 3801 3558 3297 3049 2816 3190 2971
256 311 382 22.3 382 490 618 803 1065 1450 1986 1263 1676
1900 1790 1670 4140 1590 1480 1370 1270 1170 1060 967 928 851
253 240 227 493 216 202 189 176 164 151 138 131 121
6.4 6.37 6.32 6.63 6.31 6.29 6.26 6.23 6.21 6.17 6.15 6.13 6.09
745 703 660 1640 568 528 492 455 420 384 350 225 207
95.8 90.6 85.2 196 77 71.8 67.1 62.2 57.6 52.8 48.2 37.5 34.5
4 3.99 3.97 4.17 3.77 3.76 3.75 3.73 3.72 3.71 3.7 3.02 3
286 270 255 592 243 226 211 196 181 166 151 145 134
145 137 129 304 117 109 102 94.3 87.2 79.9 73.0 57.0 52.4
W12x161 W12x133 W12x99 W12x92 W12x85 W12x36 W12x31 W12x27
4.21 5.00 6.62 7.10 7.60 6.08 7.02 8.12
10.0 11.9 16.3 17.4 19.2 33.2 38.1 42.6
41 32 26
6868 5739 4367 4087 3781 2582 2242 1955
65 127 367 478 639 3353 5837 10108
1540 1220 859 789 723 281 239 204
222 183 135 125 116 46 39.5 34.2
5.7 5.59 5.43 5.4 5.38 5.15 5.12 5.07
486 390 278 256 235 25.5 21.6 18.3
77.7 63.1 45.7 42.2 38.9 7.77 6.61 5.63
3.2 3.16 3.09 3.08 3.07 1.55 1.54 1.52
259 210 152 140 129 51.6 44.1 38.0
119 96.2 69.5 64.2 59.1 11.9 10.1 8.62
W12x16.5
7.43
45.1
24
1680
27123
105
17.6
4.65
2.88
1.44
0.77
20.6
2.32
W10x89
5.15
12.6
-
5718
129
542
99.7
4.55
181
35.2
2.63
114
53.6
29
Table 2.2.1 Dimensions and Primary Properties -- Steel Sections 1953-1970 Area
Depth
Web Thickness
Flange Width
Distance
Flange Thickness
Designation W10x72 W10x66 W10x29 W10x25 W10x21 W10x11.5
Wt. per ft lb 72 66 29 25 21 11.5
A in.2 21.20 19.40 8.54 7.36 6.20 3.39
d in. 10.50 10.38 10.22 10.08 9.90 9.87
d in. 10 1/2 10 3/8 10 1/4 10 1/8 9 7/8 9 7/8
tw in. 0.510 0.457 0.289 0.252 0.240 0.180
tw in. 1/2 7/16 5/16 1/4 1/4 3/16
tw/2 in. 1/4 1/4 1/8 1/8 1/8 1/16
bf in. 10.170 10.117 5.799 5.762 5.750 3.950
bf in. 10 1/8 10 1/8 5 3/4 5 3/4 5 3/4 4
tf in. 0.808 0.748 0.500 0.430 0.340 0.204
tf in. 13/16 3/4 1/2 7/16 5/16 3/16
T in. 7 3/4 7 3/4 8 1/8 8 1/8 8 1/8 8 3/8
k in. 1 3/8 1 5/16 1 1/16 1 7/8 3/4
k1 in. 13/16 3/4 5/8 5/8 9/16 9/16
W8x20 W8x17 W6x15.5 W6x8.5 W5x18.5
20 17 15.5 8.5 18.5
5.89 5.01 4.56 2.51 5.43
8.14 8.00 6.00 5.83 5.12
8 1/8 8 6 5 7/8 5 1/8
0.248 0.230 0.235 0.170 0.265
1/4 1/4 1/4 3/16 1/4
1/8 1/8 1/8 1/16 1/8
5.268 5.250 5.995 3.940 5.025
5 1/4 5 1/4 6 4 5
0.378 0.308 0.269 0.194 0.420
3/8 5/16 1/4 3/16 7/16
6 3/8 6 3/8 4 1/2 4 1/2 3 1/2
7/8 13/16 3/4 11/16 13/16
9/16 1/2 1/2 1/2 1/2
M14x17.2
17.2
5.05
14.00
14
0.210
3/16
1/8
4.000
4
0.272
1/4
12 3/4
5/8
3/8
M10x29.1 10M25 M10x22.9 10M21
29.1 25 22.9 21
8.56 7.35 6.73 6.18
9.88 9.90 9.88 9.90
9 7/8 9 7/8 9 7/8 9 7/8
0.427 0.350 0.242 0.240
7/16 3/8 1/4 1/4
3/16 3/16 1/8 1/8
5.937 5.860 5.752 5.740
5 7/8 5 7/8 5 3/4 5 3/4
0.389 0.375 0.389 0.375
3/8 3/8 3/8 3/8
8 1/8 8 8 1/8 8 3/8
7/8 15/16 7/8 3/4
1/2 11/16 7/16 5/8
M8x37.7 M8x34.3 M8x32.6 8M28 M8x22.5 M8x18.5
37.7 34.3 32.6 28 22.5 18.5
11.10 10.10 9.58 8.23 6.60 5.44
8.12 8.00 8.00 8.00 8.00 8.00
8 1/8 8 8 8 8 8
0.377 0.378 0.315 0.390 0.375 0.230
3/8 3/8 5/16 3/8 3/8 1/4
3/16 3/16 3/16 3/16 3/16 1/8
8.002 8.003 7.940 6.650 5.395 5.250
8 8 8 6 5/8 5 3/8 5 1/4
0.521 0.459 0.459 0.375 0.353 0.353
1/2 7/16 7/16 3/8 3/8 3/8
6 1/8 5 7/8 5 7/8 6 1/4 6 1/4 6 1/4
1 1 1/16 1 1/16 7/8 7/8 7/8
1/2 5/8 5/8 11/16 1/2 7/16
M7x5.5
5.5
1.62
7.00
7
0.128
1/8
1/16
2.080
2 1/8
0.180
3/16
6 1/8
7/16
M6x33.75 M6x22.5 M6x20 M6x4.4
33.75 22.5 20 4.4
9.93 6.62 5.89 1.29
6.25 6.00 6.00 6.00
6 1/4 6 6 6
0.488 0.372 0.250 0.114
1/2 3/8 1/4 1/8
1/4 3/16 1/8 1/16
6.114 6.060 5.938 1.844
6 1/8 6 6 1 7/8
0.605 0.379 0.379 0.171
5/8 3/8 3/8 3/16
4 1/8 4 3/8 4 3/8 5 1/4
1 1/16 13/16 13/16 3/8
9/16 1/2 7/16 1/4
M4x16.3 M4x13.8 M4x13
16.3 13.8 13
4.80 4.06 3.81
4.20 4.00 4.00
4 1/4 4 4
0.312 0.313 0.254
5/16 5/16 1/4
1/8 3/16 1/8
3.938 4.000 3.940
4 4 4
0.472 0.371 0.371
1/2 3/8 3/8
2 3/8 2 3/8 2 3/8
15/16 13/16 13/16
1/2 1/2 7/16
31 26
9.12 7.65
15.84 15.65
15 7/8 15 5/8
0.275 0.250
1/4 1/4
1/8 1/8
5.525 5.500
5 1/2 5 1/2
0.442 0.345
7/16 3/8
14 14
15/16 13/16
9/16 9/16
14B26 14B22 14B17.2
26 22 17.2
7.65 6.47 5.05
13.89 13.72 14.00
13 7/8 13 3/4 14
0.255 0.230 0.210
1/4 1/4 3/16
1/8 1/8 1/8
5.025 5.000 4.000
5 5 4
0.418 0.335 0.272
7/16 5/16 1/4
12 1/8 12 1/8 12 7/8
7/8 13/16 9/16
9/16 9/16 7/16
S24x120 S24x105.9 S24x79.9
120 105.9 79.9
35.30 31.10 23.50
24.00 24.00 24.00
24 24 24
0.798 0.625 0.501
13/16 5/8 1/2
3/8 5/16 1/4
8.048 7.875 7.001
8 7 7/8 7
1.102 1.102 0.871
1 1/8 1 1/8 7/8
20 20 20 1/2
2 2 1 3/4
-
S20x95 S20x85 S20x65.4
95 85 65.4
27.90 25.00 19.20
20.00 20.00 20.00
20 20 20
0.800 0.653 0.500
13/16 5/8 1/2
3/8 5/16 1/4
7.200 7.053 6.250
7 1/4 7 6 1/4
0.916 0.916 0.789
15/16 15/16 13/16
16 1/4 16 1/4 16 3/4
1 7/8 1 7/8 1 5/8
-
S7x20 S7x15.3
20 15.3
5.88 4.50
7.00 7.00
7 7
0.450 0.252
7/16 1/4
1/4 1/8
3.860 3.662
3 7/8 3 5/8
0.392 0.392
3/8 3/8
5 1/4 5 1/4
7/8 7/8
-
S5x14.75
14.75
4.34
5.00
5
0.494
1/2
1/4
3.284
3 1/4
0.326
5/16
3 1/2
3/4
-
16B31 16B26
30
1/4
Table 2.2.1 Dimensions and Primary Properties -- Steel Sections 1953-1970 Compact Section Criteria Designation W10x72 W10x66 W10x29 W10x25 W10x21 W10x11.5
bf/2tf
h/tw
6.29 6.76 5.80 6.70 8.46 9.68
W8x20 W8x17 W6x15.5 W6x8.5 W5x18.5
Elastic Properties Axis x-x Sx rx in.3 in. 80.1 4.46 73.7 4.44 30.8 4.3 26.5 4.26 21.5 4.15 10.5 3.92
Plastic Modulus Iy in.4 142 129 16.3 13.7 10.8 2.1
Axis y-y Sy in.3 27.9 25.5 5.61 4.76 3.75 1.06
ry in. 2.59 2.58 1.38 1.37 1.32 0.787
Zx in.3 90.6 82.8 34.7 29.6 24.1 12.2
Zy in.3 42.4 38.8 8.62 7.30 5.77 1.68
15.2 17.0 28.0 32.1 34.0 46.5
Fy''' ksi 53 41 39 22
X1 ksi 4699 4327 2890 2503 2125 1554
X2 x 106 (1/ksi)2 276 377 2126 3759 7613 34235
Ix in.4 421 382 158 133 107 52
6.97 8.52 11.14 10.15 5.98
25.8 27.7 19.1 26.2 13.2
61 55 56 -
2829 2437 2848 2268 5098
2312 4338 2125 5992 200
69.4 56.6 30.1 14.8 25.4
17 14.1 10 5.08 9.94
3.43 3.36 2.57 2.43 2.16
9.22 7.44 9.67 1.98 8.89
3.5 2.83 3.23 1.01 3.54
1.25 1.22 1.46 0.889 1.28
19.1 15.9 11.1 5.71 11.3
5.37 4.36 4.92 1.55 5.39
M14x17.2
7.35
60.7
15
1414
55344
147
21.1
5.4
2.65
1.33
0.725
24.8
2.21
M10x29.1 10M25 M10x22.9 10M21
7.63 7.81 7.39 7.65
19.0 22.9 33.6 35.0
40 53
3374 2963 2577 2514
1467 2338 3412 3772
131 117 117 107.5
26.6 23.6 23.6 21.7
3.92 3.99 4.16 4.17
11.2 9.84 10 9.3
3.76 3.36 3.48 3.24
1.14 1.16 1.22 1.22
30.9 28.3 26.4 25.5
6.51 6.72 5.80 6.31
M8x37.7 M8x34.3 M8x32.6 8M28 M8x22.5 M8x18.5
7.68 8.72 8.65 8.87 7.64 7.44
16.2 15.5 18.7 16.0 16.7 27.2
55
4089 3779 3579 3475 3678 2970
491 689 806 1093 971 1899
132 116 114 90.1 68.2 62
32.6 29.1 28.4 22.5 17.1 15.5
3.46 3.4 3.44 3.31 3.22 3.38
40.4 34.9 34.1 17.73 7.48 6.82
10.1 8.73 8.58 5.33 2.77 2.6
1.91 1.86 1.89 1.47 1.06 1.12
36.6 32.6 31.6 25.6 19.7 17.4
16.0 13.9 13.6 8.57 4.79 4.35
M7x5.5
5.78
47.9
22
1814
19465
12
3.44
2.73
0.249
0.239
0.392
4.03
0.398
M6x33.75 M6x22.5 M6x20 M6x4.4
5.05 7.99 7.83 5.39
8.5 11.8 17.5 46.1
-
6841 4665 4059 1895
68.4 318 488 -
64.7 41.2 39 7.2
20.7 13.7 13 2.4
2.55 2.49 2.57 2.36
21.4 12.4 11.6 0.165
6.99 4.08 3.9 0.179
1.47 1.37 1.4 0.358
24.1 15.6 14.5 2.80
11.1 6.63 6.25 0.30
M4x16.3 M4x13.8 M4x13
4.17 5.39 5.31
7.5 7.6 9.4
-
7956 6917 6501
36.7 66.2 80.1
14 10.8 10.5
6.67 5.42 5.24
1.71 1.63 1.66
4.44 3.58 3.36
2.25 1.79 1.71
0.962 0.939 0.939
7.85 6.31 6.06
3.58 2.88 2.74
16B31 16B26
6.25 7.97
50.8 56.1
25 20
1767 1502
18742 38032
372.5 298.1
47 38.1
6.39 6.24
11.57 8.71
4.19 3.17
1.13 1.07
53.8 43.9
7.03 5.45
14B26 14B22 14B17.2
6.01 7.46 7.35
47.6 52.6 61.3
28 23 17
1908 1632 1571
13474 26080 36623
242.6 197.4 147.3
34.9 28.8 21
5.63 5.52 5.4
8.26 6.4 2.65
3.29 2.56 1.32
1.04 0.99 0.72
39.9 33.0 24.7
5.49 4.36 2.32
S24x120 S24x105.9 S24x79.9
3.65 3.57 4.02
25.1 32.0 40.9
29
3403 3051 2455
1565 2142 5442
3030 2830 2110
252 236 175
9.26 9.53 9.47
84.2 78.2 42.3
20.9 19.8 12.1
1.54 1.58 1.34
299 274 205
36.4 33.5 20.7
S20x95 S20x85 S20x65.4
3.93 3.85 3.96
20.3 24.9 33.5
-
3820 3391 2781
1050 1524 3347
1610 1520 1180.0
161 152 118.0
7.6 7.79 7.84
49.7 46.2 27.40
13.8 13.1 8.77
1.33 1.36 1.19
194 179 138
24.7 22.8 15.2
S7x20 S7x15.3
4.92 4.67
11.7 20.8
-
5388 3971
251 660
42.4 36.7
12.1 10.5
2.69 2.86
3.17 2.64
1.64 1.44
0.73 0.77
14.5 12.1
2.96 2.44
S5x14.75
5.04
7.1
-
7783
61.7
15.2
6.09
1.87
1.67
1.01
0.62
7.42
1.88
31
Table 2.2.2 Torsion Properties -- Steel Sections 1953-1970
Torsional Design Des ignatio ation n Con Consta stant nt J
Normalize Normal ized d Warping Warping Consta Constant nt (ECw/GJ)1/2 Consta tan nt Cw a Wno
Warp Warping ing Statical Moment Sw
Statical Moment Qf
Statical Mome men nt Qw
in.4
in.6
in.
in.2
in.4
in.3
in.3
W33x240 W33x220 W33x200
36.60 28.20 21.10
240000 215000 190000
130 141 153
127 126 125
707 637 568
169 153 138
454 414 373
W30x210 W30x190 W30x172
28.50 21.20 15.70
160000 141000 124000
121 131 143
110 109 108
545 485 431
137 123 110
363 326 293
W27x177 W27x160 W27x145
20.10 14.90 11.20
94800 83700 74300
111 121 131
92.0 91.2 90.4
386 344 308
104 93.4 84.4
275 247 223
W24x160 W24x145 W24x130 W24x120 W24x110 W24x100 W24x61
16.5 12.2 8.67 8.27 6.45 4.87 1.66
73700 64900 56200 37500 33800 30100 4580
108 117 130 108 116 127 84.5
83.1 82.4 81.7 70.7 70.2 69.7 40.6
332 295 257 199 181 162 42.1
89.9 80.4 70.6 62.7 57.4 51.9 22.6
230 206 183 166 152 137 74.6
21WF55
1.26
4523
96.5
41.6
44.6
20.7
61.8
W18x114 W18x105 W18x96 W18x85 W18x77 W18x70 W18x64 W18x45
9.13 7.15 5.54 5.50 4.16 3.13 2.41 0.889
21000 18900 16900 7960 7070 6250 5600 2620
77.2 82.7 88.9 61.2 66.3 71.9 77.6 87.4
51.7 51.3 50.9 38.5 38.1 37.7 37.4 32.5
152 138 124 77.4 69.5 62.0 56.0 30.3
48.7 44.6 40.5 33.0 29.9 26.9 24.5 15.5
123 112 102 88.0 79.4 71.6 65.1 44.3
W16x96 W16x88 W16x78 W16x71 W16x64 W16x58
6.16 4.72 4.81 3.65 2.65 1.98
13400 11900 5520 4890 4280 3780
75.1 80.8 54.5 58.9 64.7 70.3
44.5 44.2 33.2 32.8 32.5 32.2
112 101 62.3 55.7 49.4 43.9
37.2 33.6 27.2 24.6 22.0 19.8
92.1 83.6 72.1 65.1 58.2 52.3
W14x314 W14x287 W14x264
140 108 85.3
90600 79400 70600
40.9 43.6 46.3
60.5 59.3 58.3
561 501 453
126.1 114.1 104.6
304 275 250
W14x246 W14x237
69.7 62.6
63900 60700
48.7 50.1
57.5 57.2
416 397
97.0 93.1
231 222
32
Table 2.2.2 Torsion Properties -- Steel Sections 1953-1970
Torsional Design Des ignatio ation n Con Consta stant nt J
Normalize Normal ized d Warping Warping Consta Constant nt (ECw/GJ)1/2 Consta tan nt Cw a Wno
Warp Warping ing Statical Moment Sw
Statical Moment Qf
Statical Mome men nt Qw
W14x228 W14x219 W14x202 W14x184 W14x167 W14x158 W14x150 W14x142 W14x320 W14x136 W14x127 W14x119 W14x111 W14x103 W14x95 W14x87 W14x84 W14x78
in.4 56.2 49.9 39.6 30.3 22.8 19.5 16.7 14.2 137 13.5 11.1 9.20 7.48 6.02 4.74 3.68 4.41 3.52
in.6 57600 54500 48900 43300 38000 35500 33200 30900 88500 26600 24500 22600 20700 18900 17200 15500 10100 9210
in. 51.5 53.2 56.5 60.8 65.7 68.7 71.7 75.1 40.9 71.4 75.6 79.8 84.6 90.2 96.9 104.4 77.0 82.3
in.2 56.8 56.4 55.6 54.8 54.1 53.7 53.3 53.0 61.5 50.4 50.0 49.7 49.3 49.0 48.6 48.3 40.3 40.0
in.4 380 362 329 296 263 248 233 218 538 198 183 171 157 145 132 120 94.2 86.2
in.3 89.5 85.7 78.7 71.5 64.1 60.8 57.5 53.9 114.1 51.2 47.9 44.8 41.5 38.5 35.2 32.2 30.2 27.7
in.3 212 203 186 168 151 142 134 126 295 120 112 105 96.9 89.5 82.0 74.8 71.7 66.0
W12x161 W12x133 W12x99 W12x92 W12x85 W12x36 W12x31 W12x27 W12x16.5
30.6 17.6 7.45 6.01 4.80 0.830 0.536 0.351 0.112
18700 14400 9740 8870 8060 873 728 611 99.2
39.8 46.0 58.2 61.8 65.9 52.2 59.3 67.1 47.9
38.8 37.5 36.1 35.7 35.4 19.2 19.0 18.8 11.7
180 143 101 93.0 85.3 17.0 14.4 12.2 3.16
53.5 43.6 31.6 29.2 27.0 9.89 8.46 7.24 2.97
129 104 75.1 69.3 63.7 25.5 21.8 18.7 10.1
W10x89 W10x72 W10x66 W10x29 W10x25 W10x21 W10x11.5
7.74 4.17 3.27 0.579 0.373 0.210 0.049
4410 3330 3000 384 320 246 49.1
38.4 45.5 48.7 41.4 47.1 55.1 50.9
25.4 24.6 24.4 14.1 13.9 13.7 9.55
65.1 50.6 46.1 10.2 8.61 6.72 1.92
23.8 18.9 17.4 6.69 5.72 4.48 1.86
56.7 44.9 41.0 17.2 14.6 11.9 5.91
W8x20 W8x17 W6x15.5 W6x8.5 W5x18.5
0.245 0.147 0.111 0.033 0.295
139 110 79.4 15.7 49.1
38.3 44.0 43.0 35.1 20.8
10.2 10.1 8.59 5.55 5.90
5.09 4.08 3.46 1.06 3.12
3.68 2.97 2.22 1.03 2.35
9.42 7.79 5.50 2.78 5.57
M14x17.2
0.110
125
54.2
13.7
3.73
3.54
12.2
33
Table 2.2.2 Torsion Properties -- Steel Sections 1953-1970
Torsional Design Des ignatio ation n Con Consta stant nt J
Normalize Normal ized d Warping Warping Consta Constant nt (ECw/GJ)1/2 Consta tan nt Cw a Wno
Warp Warping ing Statical Moment Sw
Statical Moment Qf
Statical Mome men nt Qw
in.4
in.6
in.
in.2
in.4
in.3
in.3
M10x29.1 10M25 M10x22.9 10M21
0.587 0.415 0.343 0.301
251 223 226 211
33.3 37.3 41.3 42.6
14.1 14.0 13.6 13.7
8.13 7.67 7.63 7.36
5.09 4.92 5.09 4.91
15.4 14.1 13.1 12.8
M8x37.7 M8x34.3 M8x32.6 8M28 M8x22.5 M8x18.5
0.999 0.747 0.673 0.463 0.374 0.243
584 497 484 258 109 99.8
38.9 41.5 43.2 38.0 27.5 32.6
15.2 15.1 15.0 12.7 10.3 10.0
15.8 13.9 13.6 7.90 4.91 4.65
7.55 6.60 6.60 4.47 3.39 3.39
18.2 16.2 15.7 12.1 9.78 8.62
M7x5.5
0.015
2.89
22.3
3.55
0.33
0.60
1.98
M6x33.75 M6x22.5 M6x20 M6x4.4
1.26 0.385 0.295 0.010
170 97.7 91.5 1.4
18.7 25.6 28.3 19.0
8.63 8.52 8.34 2.69
7.98 4.89 4.69 0.21
4.80 3.03 3.03 0.43
12.0 7.73 7.18 1.38
M4x16.3 M4x13.8 M4x13
0.366 0.216 0.190
15.4 11.8 11.1
10.4 11.9 12.3
3.67 3.63 3.57
1.71 1.35 1.31
1.60 1.24 1.24
3.88 3.11 2.99
16B31 16B26
0.472 0.267
686 510
61.3 70.3
21.3 21.0
13.0 10.0
8.93 6.93
26.5 21.5
14B26 14B22 14B17.2
0.362 0.213 0.135
375 287 125
51.8 59.0 49.0
16.9 16.7 13.7
8.89 7.01 3.73
6.72 5.35 3.54
19.6 16.1 12.2
S24x120 S24x105.9 S24x79.9
13.00 10.40 4.90
11000 10200 5660
46.8 50.4 54.7
46.1 45.1 40.5
102.1 97.8 61.7
45.7 45.7 32.7
148.9 136.5 101.5
S20x95 S20x85 S20x65.4
8.46 6.63 3.50
4520 4200 2530
37.2 40.5 43.3
34.4 33.6 30.0
56.6 54.3 37.0
28.0 28.0 21.8
95.9 88.6 68.6
S7x20 S7x15.3
0.451 0.241
34.6 28.8
14.1 17.6
6.38 6.05
2.41 2.17
2.21 2.21
7.17 5.96
S5x14.75
0.323
9.09
8.54
3.84
1.03
1.06
3.67
34
Table 2.2.3 Producers -- Steel Sections 1953-1970
Section
Producer Footweight Code*
W33 W30
All All
W27 W24 W24 21WF W18 W18 W18 W16 W16 W16 W14 W14 W12 W12 W12 W10 W10 W10 W8 W8 W8
All 160-130 120-61 55 114-96 85-77 70-45 96-88 78-71 64-58 314-87 84-78 161-85 36-27 16.5 89-66 29-21 11.5 20-15.5 8. 5 18.5
Section
Producer Footweight Code*
B, U B, U
M14 M10
17.2 J, N 29.1, 22.9 K
B, U B, U A, B, I, U B, I, U A, B, U A, B, I, U A, B, I, N, U A, B, U A, B, I, U A, B, I, N, U B, B, U A, B, I, U A, B, I, U A, B, C, I, N, U, W A, B, C, I, N, U A, B, I, U A, B, C, I, N, U, W A, B, C, I, J, N, U A, B, C, I, N, U A, B, I, N, U A, B, C, U
10M M8 M8 8M 8M M7 M6 M6 M6 M6 M4 M4 M4 16B 14B 14B S2 4 S2 4 S2 0 S2 0 S7 S7
25, 21 37.7 34.3, 32.6 28 22.5, 18.5 5.5 33.75 22.5 20 4.4 16.3 13.8 13 31, 26 26, 22 17.2 120, 105.9 79.9 95, 85 65.4 20 15.3
* Producer Code: A - Armco Steel Corp. B - Bethlehem Steel Corp. C - C F & I Steel Corp. I - Inland Steel Co. J - Jones & Laughlin Steel Corp. K - Kaiser Steel Corp. N - Northwestern Steel & Wire Co. P - Phoenix Steel Corp. U - United States Steel Corp. W - Weirton Steel Div., National Steel Corp.
35
P U K, U P K J U C, K C, K, U, W J U C, K A, C, I, K, U B, I, N, U B, I, N, U J A,B,U B, U A,B,U A,B,K,U B, C, I, U A, B, C, I, U
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Source Reference Number
Designation S 24x120 S 24x115 S 24x115 S 24x110 S 24x110 S 24x105.9 S 24x105 S 24x100
5 10 22
S 24x100 S 24x100 S 24x100 S 24x100 S 24x100 S 24x95 S 24x95 S 24x95 S 24x95 S 24x95 S 24x95 S 24x90 S 24x90 S 24x90 S 24x90 S 24x90 S 24x85 S 24x85 S 24x85 S 24x85 S 24x85 S 24x85 S 24x80 S 24x80 S 24x80 S 24x80 S 24x79.9
19
8 12 14 17 4 9 13 18 8 12 14 17 4 9 13 18 5 11 13 18 22 8 12 14 17 21
1 7 15 8 12 14 17 6 3 11 13 16 18 22 1 7 15 8 12 14 17 19 21 6 2 9 13 16 18 20 1 7 15 8 12 14 17 6 3 11 13 16 18 22 21 1 7 15 8 12 14 17 19 2 9 13 16 18 6 20 6 1 7 15 8 12 17 3 11 13 14 16 18 22
Area
Depth
A
d
tw
bf
tf
T
k
in.2
in.
in.
in.
in.
in.
in.
120.0 115.0 115.0 110.0 110.0 105.9 105.0 100.0
35.13 33.98 33.67 32.48 32.18 30.98 30.98 29.42
24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00
0.798 0.750 0.737 0.688 0.675 0.625 0.625 0.620
8.048 8.000 7.987 7.938 7.925 7.875 7.875 7.690
1.102 1.102 1.102 1.102 1.102 1.102 1.102 0.965
20.064 20.064 20.064 20.064 20.064 20.064 20.064 20.271
1.968 1.968 1.968 1.968 1.968 1.968 1.968 1.864
3.65 3.63 3.62 3.60 3.60 3.57 3.57 3.98
25.1 26.8 27.2 29.2 29.7 32.1 32.1 32.7
62 62 60
100.0 100.0 100.0 100.0 100.0 95.0 95.0 95.0 95.0 95.0 95.0 90.0 90.0 90.0 90.0 90.0 85.0 85.0 85.0 85.0 85.0 85.0 80.0 80.0 80.0 80.0 79.9
29.42 29.41 29.41 29.40 29.25 27.94 27.94 27.92 27.92 27.90 27.79 26.47 26.47 26.47 26.40 26.30 25.00 25.00 25.00 25.00 24.84 24.98 23.53 23.50 23.32 23.32 23.33
24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00 24.00
0.680 0.754 0.754 0.746 0.747 0.692 0.693 0.620 0.590 0.685 0.686 0.560 0.631 0.631 0.623 0.624 0.540 0.570 0.570 0.560 0.563 0.562 0.500 0.500 0.500 0.500 0.500
7.540 7.254 7.254 7.196 7.247 7.192 7.193 7.480 7.450 7.135 7.186 7.420 7.131 7.131 7.073 7.124 7.220 7.070 7.070 7.060 7.063 7.012 7.000 6.950 7.000 7.000 7.000
0.925 0.871 0.871 0.861 0.871 0.871 0.871 0.925 0.965 0.861 0.871 0.925 0.871 0.871 0.861 0.871 0.870 0.871 0.871 0.870 0.871 0.861 0.870 0.861 0.871 0.871 0.871
20.351 20.588 20.588 20.546 20.588 20.588 20.588 20.351 20.271 20.546 20.588 20.351 20.588 20.588 20.546 20.588 20.592 20.588 20.588 20.592 20.588 20.546 20.592 20.546 20.588 20.588 20.588
1.824 1.706 1.706 1.727 1.706 1.706 1.706 1.824 1.864 1.727 1.706 1.824 1.706 1.706 1.727 1.706 1.704 1.706 1.706 1.704 1.706 1.727 1.704 1.727 1.706 1.706 1.706
4.08 4.16 4.16 4.18 4.16 4.13 4.13 4.04 3.86 4.15 4.13 4.01 4.09 4.09 4.11 4.09 4.15 4.06 4.06 4.06 4.05 4.07 4.02 4.04 4.02 4.02 4.02
29.9 27.3 27.3 27.5 27.6 29.8 29.7 32.8 34.4 30.0 30.0 36.3 32.6 32.6 33.0 33.0 38.1 36.1 36.1 36.8 36.6 36.6 41.2 41.1 41.2 41.2 41.2
60 55 49 60 60 59 59 44 49 49 48 48 48 38 38 38 38 38
100.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0 98.4 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0
29.62 29.50 29.41 29.41 29.41 29.41 29.41 29.20 28.94 28.12 28.00 27.94 27.94 27.94 27.94 27.94 27.74
20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00
0.894 0.900 0.810 0.884 0.894 0.850 0.870 0.873 0.910 0.820 0.825 0.740 0.810 0.821 0.800 0.770 0.800
7.294 7.300 7.310 7.284 7.044 7.030 7.020 7.273 7.060 7.220 7.225 7.240 7.210 6.971 6.950 6.950 7.200
0.915 0.900 0.965 0.917 0.950 0.955 0.950 0.917 0.860 0.915 0.900 0.965 0.917 0.950 0.950 0.955 0.917
16.345 16.592 16.154 16.339 16.205 16.194 16.205 16.339 16.525 16.345 16.592 16.154 16.339 16.205 16.205 16.194 16.339
1.828 1.704 1.923 1.831 1.898 1.903 1.898 1.831 1.738 1.828 1.704 1.923 1.831 1.898 1.898 1.903 1.831
3.99 4.06 3.79 3.97 3.71 3.68 3.69 3.97 4.10 3.95 4.01 3.75 3.93 3.67 3.66 3.64 3.93
18.3 18.4 19.9 18.5 18.1 19.1 18.6 18.7 18.2 19.9 20.1 21.8 20.2 19.7 20.3 21.0 20.4
-
90.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0
26.66 26.50 26.47 26.47 26.47 26.47 26.47 26.40 26.26 25.18 25.00 25.00 25.00 25.00 25.00 25.00 25.00 24.80
20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00
0.747 0.750 0.737 0.780 0.747 0.730 0.700 0.780 0.726 0.673 0.675 0.663 0.674 0.700 0.650 0.680 0.760 0.653
7.147 7.150 7.137 6.900 6.897 6.880 6.880 6.750 7.126 7.073 7.075 7.063 6.824 6.820 6.800 6.760 6.450 7.053
0.915 0.900 0.917 0.865 0.950 0.950 0.955 0.910 0.917 0.915 0.900 0.917 0.950 0.865 0.950 0.905 0.910 0.917
16.345 16.592 16.339 16.414 16.205 16.205 16.194 16.361 16.339 16.345 16.592 16.339 16.205 16.414 16.205 16.334 16.361 16.339
1.828 1.704 1.831 1.793 1.898 1.898 1.903 1.820 1.831 1.828 1.704 1.831 1.898 1.793 1.898 1.833 1.820 1.831
3.91 3.97 3.89 3.99 3.63 3.62 3.60 3.71 3.89 3.87 3.93 3.85 3.59 3.94 3.58 3.73 3.54 3.85
21.9 22.1 22.2 21.0 21.7 22.2 23.1 21.0 22.5 24.3 24.6 24.6 24.0 23.4 24.9 24.0 21.5 25.0
-
81.7 81.4 81.4 80.0 80.0
24.04 23.94 23.74 23.79 23.73
20.00 20.00 20.00 20.00 20.00
0.750 0.600 0.600 0.735 0.600
6.500 6.750 7.000 6.485 7.000
0.765 0.950 0.917 0.790 0.917
16.745 16.205 16.339 16.812 16.339
1.628 1.898 1.831 1.594 1.831
4.25 3.55 3.82 4.10 3.82
22.3 27.0 27.2 22.9 27.2
-
Wt. per ft lb
Flange Width
Average Flange Thickness Distance
Web Thickness
Distance
Compact Section Criteria bf /2tf
h/tw
Fy''' ksi
S 20x100 S 20x100 S 20x100 S 20x100 S 20x100 S 20x100 S 20x100 S 20x100 S 20x98.4 S 20x95 S 20x95 S 20x95 S 20x95 S 20x95 S 20x95 S 20x95 S 20x95
12
S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85
12
2 14 20 3 6 9 11 13 16 23 22 24 4 7 10 15 19 12 2 14 20 3 6 9 11 13 16 23 24 22 5 8 10 15 27
2 14 3 6 9 11 13 16 20 23 24 22 17 4 7 10 15 12 2 14 3 6 9 11 13 16 23 20 24 22 18 5 8 10 15 27
S 20x81.7 S 20x81.4 S 20x81.4 S 20x80 S 20x80
19 24 4 7 10 11 15 12 3 6 9 12 13 16
36
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Elastic Properties Axis x-x
Axis y-y
Plastic Modulus
X1 ksi
X2 x 106 (1/ksi)2
Ix
Sx
r x
Iy
Sy
r y
Zx
Zy
in.4
in.3
in.
in.4
in.3
in.
in.3
in.3
S 24x120 S 24x115 S 24x115 S 24x110 S 24x110 S 24x105.9 S 24x105 S 24x100
3406 3303 3277 3179 3155 3064 3064 2910
1564 1717 1759 1920 1964 2130 2130 3029
3010.8 2955.5 2940.5 2883.5 2869.1 2811.5 2811.5 2497.3
250.9 246.3 245.0 240.3 239.1 234.3 234.3 208.1
9.26 9.33 9.35 9.42 9.44 9.53 9.53 9.21
84.9 83.2 82.8 81.0 80.6 78.9 78.9 57.5
21.1 20.8 20.7 20.4 20.3 20.0 20.0 15.0
1.56 1.57 1.57 1.58 1.58 1.60 1.60 1.40
297.6 290.7 288.9 281.8 279.9 272.7 272.7 246.2
36.5 35.7 35.5 34.7 34.4 33.7 33.7 28.3
S 24x100 S 24x100 S 24x100 S 24x100 S 24x100 S 24x95 S 24x95 S 24x95 S 24x95 S 24x95 S 24x95 S 24x90 S 24x90 S 24x90 S 24x90 S 24x90 S 24x85 S 24x85 S 24x85 S 24x85 S 24x85 S 24x85 S 24x80 S 24x80 S 24x80 S 24x80 S 24x79.9
2908 3044 3045 3047 3027 2880 2884 2774 2823 2883 2866 2656 2732 2734 2730 2718 2538 2597 2597 2556 2584 2597 2438 2473 2459 2460 2461
3048 2806 2803 2888 2860 3355 3338 3507 3261 3447 3407 3981 3957 3952 4091 4024 4994 4607 4607 4851 4683 4773 5540 5498 5385 5378 5378
2497.3 2380.3 2379.6 2342.7 2371.8 2309.6 2309.0 2427.0 2427.0 2271.9 2301.5 2356.8 2239.1 2238.4 2201.0 2230.1 2181.7 2168.6 2167.8 2181.7 2159.8 2130.2 2111.4 2059.3 2087.9 2087.2 2087.2
208.1 198.4 198.3 195.2 197.6 192.5 192.4 202.3 202.3 189.3 191.8 196.4 186.6 186.5 183.4 185.8 181.8 180.7 180.7 181.8 180.0 177.5 176.0 171.6 174.0 173.9 173.9
9.21 9.00 9.00 8.93 9.05 9.09 9.09 9.32 9.32 9.02 9.08 9.44 9.20 9.20 9.13 9.21 9.34 9.31 9.31 9.34 9.33 9.23 9.47 9.42 9.46 9.46 9.46
57.5 48.6 48.6 47.0 48.4 47.1 47.1 55.9 55.9 45.6 47.0 54.4 45.7 45.7 44.3 45.5 44.1 44.4 44.4 44.1 44.2 42.9 42.8 41.6 42.9 42.9 42.9
15.3 13.4 13.4 13.1 13.4 13.1 13.1 15.0 15.0 12.8 13.0 14.7 12.8 12.8 12.5 12.8 12.2 12.5 12.6 12.5 12.5 12.2 12.2 12.0 12.2 12.3 12.2
1.40 1.28 1.28 1.26 1.29 1.30 1.30 1.41 1.41 1.28 1.30 1.44 1.31 1.31 1.29 1.32 1.33 1.33 1.33 1.33 1.33 1.31 1.35 1.34 1.36 1.36 1.36
244.2 239.4 239.4 235.7 238.4 230.4 230.6 235.5 237.3 226.9 229.6 226.9 221.6 221.6 218.0 220.6 212.0 212.9 212.9 211.3 211.9 209.2 202.6 200.3 202.8 202.8 202.8
26.6 24.2 24.2 23.6 24.1 23.3 23.3 25.8 26.5 22.7 23.2 25.0 22.5 22.5 21.9 22.4 22.3 21.7 21.7 21.5 21.6 21.1 20.8 20.4 20.8 20.8 20.8
S 20x100 S 20x100 S 20x100 S 20x100 S 20x100 S 20x100 S 20x100 S 20x100 S 20x98.4 S 20x95 S 20x95 S 20x95 S 20x95 S 20x95 S 20x95 S 20x95 S 20x95
4136 4083 4054 4105 4189 4097 4151 4070 4133 3892 3833 3852 3865 3955 3930 3848 3835
810 861 872 829 751 838 797 853 877 988 1061 1025 1010 906 950 1030 1037
1662.3 1649.2 1649.6 1655.6 1667.6 1649.6 1648.6 1648.3 1567.4 1612.6 1599.2 1601.9 1606.6 1618.3 1599.5 1601.9 1599.7
166.2 164.9 165.0 165.6 166.8 165.0 164.9 164.8 156.7 161.3 159.9 160.2 160.7 161.8 160.0 160.2 160.0
7.49 7.48 7.49 7.50 7.53 7.49 7.49 7.51 7.36 7.57 7.56 7.57 7.58 7.62 7.57 7.57 7.59
52.9 52.8 55.6 52.7 48.9 55.6 48.7 52.4 45.5 51.0 50.8 53.6 50.8 47.3 46.9 53.6 50.5
14.5 14.5 15.2 14.5 13.9 15.8 13.9 14.4 12.9 14.1 14.1 14.8 14.1 13.6 13.5 15.4 14.0
1.34 1.34 1.37 1.34 1.29 1.37 1.29 1.34 1.25 1.35 1.35 1.39 1.35 1.30 1.30 1.39 1.35
201.0 199.9 200.2 200.2 200.5 197.2 198.1 199.1 192.1 193.6 192.4 193.2 192.8 193.2 191.1 189.2 191.8
26.2 26.0 26.7 26.0 25.3 25.1 24.9 25.9 23.8 25.1 24.9 25.8 25.0 24.2 23.9 24.0 24.8
S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x90 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85 S 20x85
3671 3603 3647 3725 3733 3725 3776 3812 3618 3466 3392 3445 3533 3477 3510 3537 3889 3420
1193 1298 1217 1210 1089 1125 1134 1086 1249 1428 1569 1454 1290 1519 1357 1413 1049 1487
1563.8 1549.2 1557.6 1501.7 1569.0 1550.5 1501.7 1506.1 1550.3 1515.1 1499.2 1508.5 1519.6 1453.1 1501.5 1453.1 1394.1 1501.7
156.4 154.9 155.8 150.2 156.9 155.1 150.2 150.6 155.0 151.5 149.9 150.9 152.0 145.3 150.2 145.3 139.4 150.2
7.66 7.65 7.67 7.53 7.71 7.65 7.53 7.55 7.68 7.76 7.74 7.77 7.80 7.62 7.75 7.62 7.50 7.78
49.2 48.9 49.0 41.9 45.6 45.2 41.9 42.3 48.7 47.5 47.4 47.3 44.0 40.3 43.5 40.3 34.2 47.0
13.8 13.7 13.7 12.1 13.2 13.1 12.2 12.5 13.7 13.4 13.4 13.4 12.9 11.8 12.8 11.9 10.6 13.3
1.36 1.36 1.36 1.26 1.32 1.31 1.26 1.27 1.36 1.37 1.38 1.37 1.33 1.27 1.32 1.27 1.17 1.38
186.3 184.9 185.5 179.2 185.8 184.1 182.2 181.6 184.4 178.9 177.4 178.1 178.5 171.2 176.1 172.9 174.8 177.1
24.1 23.9 24.0 21.8 23.2 23.0 23.1 22.2 23.8 23.1 23.0 23.0 22.3 20.8 22.0 21.2 20.4 22.9
S 20x81.7 S 20x81.4 S 20x81.4 S 20x80 S 20x80
3556 3390 3291 3486 3290
1592 1501 1668 1647 1668
1312.5 1466.2 1466.3 1326.4 1466.3
131.2 146.6 146.6 132.6 146.6
7.39 7.83 7.86 7.46 7.86
31.4 42.4 45.8 31.7 45.8
9.7 12.6 13.1 9.8 13.1
1.14 1.33 1.39 1.15 1.39
159.5 171.1 171.8 160.7 171.8
17.6 21.4 22.3 17.8 22.3
Designation
37
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Designation S 20x80 S 20x80 S 20x80 S 20x80 S 20x78 S 20x75 S 20x75 S 20x75 S 20x75 S 20x75 S 20x75 S 20x75 S 20x70 S 20x70 S 20x70 S 20x70 S 20x70 S 20x70 S 20x70 S 20x70 S 20x66.67 S 20x65.4 S 20x65.4 S 20x65 S 20x65 S 20x65 S 20x64.8 S 20x64
Source Reference Number 21 28 1 2 14 17 19 12 2 17 3 6 9 11 13 14 16 23 21 24 5 8 10 15 25 26 27 12 2 18 3 6 9 11 13 14 16 23 24 20 22 4 7 10 15 25 2 24 5 8 10 11 15 25 26 27 21 17 3 6 9 12 13 14 16 19 28 19 12
Flange Width
Average Flange Thickness Distance
Area
Depth
Web Thickness
Wt. per ft lb 80.0 80.0 80.0 80.0 78.0 75.0 75.0 75.0 75.0
A
d
tw
bf
tf
T
k
bf /2tf
h/tw
Fy'''
in.2 23.53 23.53 23.50 23.50 22.94 22.32 22.10 22.10 22.06
in. 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00
in. 0.630 0.600 0.600 0.690 0.600 0.662 0.665 0.660 0.649
in. 6.750 6.750 7.000 6.380 6.750 6.412 6.415 6.160 6.399
in. 0.865 0.950 0.900 0.840 0.860 0.790 0.765 0.805 0.790
in. 16.414 16.205 16.592 16.688 16.525 16.812 16.912 16.782 16.814
in. 1.793 1.898 1.704 1.656 1.738 1.594 1.544 1.609 1.593
3.90 3.55 3.89 3.80 3.92 4.06 4.19 3.83 4.05
26.1 27.0 27.7 24.2 27.5 25.4 25.4 25.4 25.9
ksi -
75.0 75.0 75.0 70.0 70.0 70.0 70.0 70.0 70.0 70.0 70.0 66.67 65.4 65.4 65.0 65.0 65.0 64.8 64.0
22.06 22.06 21.90 20.84 20.60 20.60 20.59 20.59 20.59 20.59 20.42 19.60 19.24 19.08 19.12 19.10 19.08 19.04 18.80
20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00
0.640 0.640 0.641 0.588 0.590 0.570 0.575 0.570 0.560 0.570 0.567 0.540 0.500 0.500 0.500 0.500 0.500 0.500 0.500
6.390 6.390 6.391 6.338 6.340 6.070 6.325 6.320 6.310 6.270 6.317 6.290 6.250 6.250 6.250 6.000 6.250 6.250 6.250
0.790 0.790 0.790 0.790 0.765 0.805 0.790 0.790 0.790 0.790 0.790 0.765 0.790 0.790 0.790 0.805 0.790 0.765 0.765
16.812 16.814 16.814 16.812 16.912 16.782 16.814 16.814 16.812 16.812 16.814 16.912 16.814 16.814 16.812 16.782 16.814 16.912 16.912
1.594 1.593 1.593 1.594 1.544 1.609 1.593 1.593 1.594 1.594 1.593 1.544 1.593 1.593 1.594 1.609 1.593 1.544 1.544
4.04 4.05 4.05 4.01 4.14 3.77 4.01 4.00 3.99 3.97 4.00 4.11 3.96 3.96 3.96 3.73 3.96 4.08 4.08
26.3 26.3 26.2 28.6 28.7 29.4 29.2 29.5 30.0 29.5 29.7 31.3 33.6 33.6 33.6 33.6 33.6 33.8 33.8
57 57 57 57 57 56 56
90.0 90.0
26.47 26.46
18.00 18.00
0.807 0.820
7.245 7.080
0.927 0.885
14.381 14.385
1.809 1.808
3.91 4.00
17.8 17.5
-
95 0..0 0 8 85.0 85.0 80.0 80.0 80.0 80.0 75.6 75.0 75.0 75.0 75.0 70.0 70.0 70.0 70.0 70.0 70.0 67.0
25 6..0 20 9 2 25.00 24.81 23.53 23.53 23.50 23.34 22.04 22.05 22.05 22.10 21.93 20.60 20.59 20.59 20.59 20.46 20.42 19.70
18 8..0 00 0 1 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00
0..7 72 95 6 0 0.740 0.714 0.644 0.790 0.700 0.632 0.560 0.562 0.710 0.620 0.792 0.650 0.620 0.719 0.705 0.711 0.709 0.560
7..1 26 33 6 7 7.000 7.154 7.082 6.660 6.630 7.072 7.000 7.000 6.580 6.550 6.332 6.370 6.500 6.259 6.245 6.251 6.249 6.500
0..9 92 27 7 0 0.885 0.927 0.927 0.765 0.915 0.927 0.927 0.927 0.765 0.915 0.691 0.770 0.765 0.691 0.691 0.691 0.691 0.775
14 4..3 38 81 1 1 14.385 14.381 14.381 14.651 14.241 14.381 14.381 14.381 14.651 14.241 15.095 14.782 14.651 15.095 15.095 15.095 15.095 14.731
1..8 80 09 9 1 1.808 1.809 1.809 1.674 1.880 1.809 1.809 1.809 1.674 1.880 1.453 1.609 1.674 1.453 1.453 1.453 1.453 1.634
3..8 96 0 3 3.95 3.86 3.82 4.35 3.62 3.81 3.78 3.78 4.30 3.58 4.58 4.14 4.25 4.53 4.52 4.52 4.52 4.19
19 8..8 1 1 19.4 20.1 22.3 18.5 20.3 22.8 25.7 25.6 20.6 23.0 19.1 22.7 23.6 21.0 21.4 21.2 21.3 26.3
--
65.0 65.0
19.12 19.12
18.00 18.00
0.637 0.630
6.177 6.170
0.691 0.690
15.095 15.099
1.453 1.451
4.47 4.47
23.7 24.0
-
65.0 65.0 65.0 65.0 60.0 60.0 60.0 60.0 60.0 60.0 55.0 55.0 55.0 55.0 55.0 54.7 54.7 48.2 48.0 46.0 46.0
19.12 19.10 18.98 18.92 17.65 17.65 17.64 17.60 17.50 17.43 16.20 16.20 16.18 16.13 15.93 16.09 15.94 14.09 14.08 13.53 13.34
18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00 18.00
0.623 0.640 0.629 0.626 0.550 0.542 0.540 0.550 0.547 0.543 0.470 0.460 0.460 0.460 0.460 0.460 0.460 0.380 0.380 0.322 0.380
6.163 6.170 6.169 6.166 6.095 6.082 6.080 6.080 6.087 6.083 6.000 6.000 6.000 6.000 6.000 6.000 6.000 7.500 7.500 6.000 6.000
0.691 0.705 0.691 0.691 0.691 0.691 0.690 0.705 0.691 0.691 0.705 0.690 0.691 0.690 0.691 0.691 0.691 0.502 0.502 0.664 0.555
15.095 15.059 15.095 15.095 15.095 15.095 15.099 15.059 15.095 15.095 15.059 15.099 15.095 15.099 15.095 15.095 15.095 15.979 15.979 15.239 15.780
1.453 1.471 1.453 1.453 1.453 1.453 1.451 1.471 1.453 1.453 1.471 1.451 1.453 1.451 1.453 1.453 1.453 1.011 1.011 1.381 1.110
4.46 4.38 4.46 4.46 4.41 4.40 4.41 4.31 4.40 4.40 4.26 4.35 4.34 4.35 4.34 4.34 4.34 7.47 7.47 4.52 5.41
24.2 23.5 24.0 24.1 27.4 27.8 28.0 27.4 27.6 27.8 32.0 32.8 32.8 32.8 32.8 32.8 32.8 42.0 42.0 47.3 41.5
63 60 60 60 60 60 60 36 36 29 37
1 10 00 0..0 0
2 29 9..5 40 6
1 15 5..0 00 0
1 1..1 17 90 2
6 6..8 71 90 2
1 1..0 03 35 3
1 11 0..2 81 21 1
1 2..8 09 84 9
3 3..2 29 9
9 9..6 1
--
Distance
Compact Section Criteria
S 18x90 S 18x90
2 21 5
S 18x85 18x90 S S 18x85 S 18x85 S 18x80 S 18x80 S 18x80 S 18x80 S 18x75.6 S 18x75 S 18x75 S 18x75 S 18x75 S 18x70 S 18x70 S 18x70 S 18x70 S 18x70 S 18x70 S 18x67
2 21 5 2 21 19 5 5 2 21 19 26 29 21 1 9 12 14 15 18 23 8 11 17 26 13 27 28 16 20
S 18x65 S 18x65 S 18x65 S 18x65 S 18x65 S 18x65 S 18x60 S 18x60 S 18x60 S 18x60 S 18x60 S 18x60 S 18x55 S 18x55 S 18x55 S 18x55 S 18x55 S 18x54.7 S 18x54.7 S 18x48.2 S 18x48 S 18x46 S 18x46
1 9 12 14 15 18 21 23 19 6 10 17 26 13 16 1 9 12 14 15 18 23 21 19 6 10 17 26 13 16 19 20 22 21 1 9 12 15 16 18 25 8 11 13 14 17 24 27 28 4 3 2 7 2
S S 15x100 15x100
19 20 22
38
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Elastic Properties Axis x-x
Axis y-y
Plastic Modulus
Ix
Sx
r x
Iy
Sy
r y
X1 ksi 3281 3352 3203 3400 3206 3243 3206 3308 3204
X2 x 106 (1/ksi)2 1817 1509 1867 1717 2000 2081 2222 1980 2166
Zx
Zy
Designation S 20x80 S 20x80 S 20x80 S 20x80 S 20x78 S 20x75 S 20x75 S 20x75 S 20x75
in.4 1404.4 1470.3 1449.2 1345.1 1367.4 1278.6 1256.0 1246.9 1268.8
in.3 140.4 147.0 144.9 134.5 136.7 127.9 125.6 124.7 126.9
in. 7.73 7.90 7.85 7.55 7.72 7.57 7.54 7.53 7.58
in.4 38.8 42.3 45.6 33.2 37.9 30.5 29.8 28.2 30.3
in.3 11.5 12.5 13.0 10.4 11.2 9.5 9.3 9.2 9.5
in. 1.28 1.34 1.39 1.19 1.28 1.17 1.16 1.13 1.17
in.3 164.2 171.1 169.9 160.5 161.1 153.4 151.0 150.9 152.0
in.3 19.9 21.4 22.0 18.1 19.8 16.9 16.6 16.2 16.8
S 20x75 S 20x75 S 20x75 S 20x70 S 20x70 S 20x70 S 20x70 S 20x70 S 20x70 S 20x70 S 20x70 S 20x66.67 S 20x65.4 S 20x65.4 S 20x65 S 20x65 S 20x65 S 20x64.8 S 20x64
3154 3175 3182 3026 2977 3036 2989 2975 2927 2949 2969 2838 2796 2799 2777 2854 2796 2753 2736
2275 2248 2217 2593 2816 2625 2695 2748 2892 2806 2753 3263 3316 3282 3335 3142 3288 3639 3639
1277.1 1268.8 1263.5 1229.3 1206.0 1197.6 1219.8 1219.7 1229.0 1229.0 1214.2 1172.7 1174.6 1169.5 1179.7 1148.6 1169.5 1145.8 1146.0
127.8 126.9 126.3 122.9 120.6 119.8 122.0 122.0 122.9 122.9 121.4 117.3 117.5 116.9 118.0 114.9 117.0 114.6 114.6
7.61 7.58 7.60 7.68 7.65 7.68 7.70 7.70 7.73 7.73 7.71 7.73 7.81 7.83 7.86 7.76 7.83 7.76 7.80
30.1 30.2 30.1 29.3 28.5 26.7 29.0 29.0 28.9 28.9 28.9 27.9 28.0 27.9 27.7 25.5 27.9 26.7 27.3
9.4 9.5 9.4 9.2 9.0 8.8 9.2 9.2 9.2 9.2 9.2 8.9 9.0 8.9 8.9 8.5 8.9 8.5 8.7
1.17 1.17 1.17 1.18 1.18 1.15 1.19 1.19 1.18 1.18 1.19 1.19 1.21 1.21 1.20 1.16 1.21 1.18 1.20
151.2 151.1 151.2 146.0 143.5 141.9 144.6 144.1 143.2 143.4 143.8 138.5 137.1 137.1 137.2 134.9 137.1 134.5 134.5
16.7 16.7 16.7 16.1 15.8 15.2 16.0 15.9 15.8 15.7 15.9 15.3 15.3 15.3 15.3 14.6 15.3 14.9 14.9
S 18x90 S 18x90
4245 4388
657 650
1260.4 1188.0
140.0 132.0
6.90 6.70
52.0 46.0
14.4 13.0
1.40 1.32
167.1 161.1
25.1 23.1
S S 18x90 18x85 S 18x85 S 18x85 S 18x80 S 18x80 S 18x80 S 18x80 S 18x75.6 S 18x75 S 18x75 S 18x75 S 18x75 S 18x70 S 18x70 S 18x70 S 18x70 S 18x70 S 18x70 S 18x67
4 32 90 96 2 4118 3955 3767 4015 3990 3731 3555 3563 3720 3766 3958 3514 3426 3650 3590 3622 3614 3210
6 77 97 9 800 821 954 928 824 981 1127 1120 1194 986 1064 1448 1573 1397 1493 1437 1448 1897
1 12 25 26 0..5 7 1149.6 1216.6 1181.0 1063.4 1131.2 1176.8 1141.8 1141.3 1023.5 1091.6 957.2 973.1 981.7 921.3 921.3 917.5 916.5 973.5
1 13 39 5..6 6 127.7 135.2 131.2 118.2 125.7 130.8 126.9 126.8 113.7 121.3 106.3 108.1 109.1 102.4 102.4 101.9 101.8 108.2
6 6..9 91 9 6.78 7.00 7.09 6.72 6.94 7.10 7.20 7.19 6.81 7.04 6.61 6.87 6.91 6.69 6.69 6.70 6.70 7.03
5 51 0..9 0 44.2 49.8 48.1 33.1 39.5 47.9 46.3 46.2 31.7 37.4 25.6 28.8 30.2 24.6 24.6 24.5 24.3 30.3
1 14 4..3 0 12.6 14.0 13.6 10.0 11.9 13.6 13.2 13.2 9.6 11.4 8.1 9.0 9.3 7.9 7.9 7.8 7.8 9.3
1 1..4 40 2 1.33 1.42 1.43 1.19 1.30 1.43 1.45 1.45 1.20 1.30 1.08 1.18 1.21 1.09 1.09 1.09 1.10 1.24
1 16 66 0..2 5 154.6 159.6 153.9 141.3 149.3 153.0 147.1 147.3 134.8 142.8 130.3 128.4 127.6 124.4 123.3 123.8 123.6 124.5
2 25 4..0 1 22.1 23.9 23.1 18.1 20.5 22.9 22.1 22.1 17.2 19.6 15.3 16.0 16.3 14.5 14.4 14.4 14.4 16.2
S 18x65 S 18x65
3340 3276
1880 1991
881.5 889.7
97.9 98.9
6.79 6.82
23.5 23.3
7.6 7.6
1.11 1.10
117.8 117.1
13.7 13.6
S 18x65 S 18x65 S 18x65 S 18x65 S 18x60 S 18x60 S 18x60 S 18x60 S 18x60 S 18x60 S 18x55 S 18x55 S 18x55 S 18x55 S 18x55 S 18x54.7 S 18x54.7 S 18x48.2 S 18x48 S 18x46 S 18x46
3286 3377 3311 3297 3044 3016 2976 3069 3033 3020 2845 2751 2800 2745 2778 2776 2779 1959 1958 2353 2143
2006 1771 1935 1958 2548 2643 2733 2415 2563 2598 3055 3481 3345 3481 3345 3383 3345 12602 12602 5531 9327
881.5 886.1 877.7 876.2 841.8 841.8 849.9 846.5 837.8 835.9 806.8 809.0 795.6 809.1 795.6 789.8 795.6 737.1 737.1 733.2 675.1
97.9 98.5 97.5 97.4 93.5 93.5 94.4 94.1 93.1 92.9 89.6 89.9 88.4 89.9 88.4 88.9 88.4 81.9 81.9 81.5 75.1
6.79 6.81 6.80 6.81 6.91 6.91 6.94 6.94 6.92 6.93 7.08 7.07 7.07 7.08 7.07 7.05 7.07 7.23 7.23 7.36 7.12
23.5 23.9 23.4 23.3 22.4 22.4 22.2 22.7 22.3 22.2 21.6 20.8 21.2 21.2 21.2 21.4 21.2 30.0 30.0 19.9 17.1
7.6 7.7 7.6 7.6 7.3 7.4 7.3 7.5 7.3 7.3 7.2 6.9 7.1 7.1 7.1 7.1 7.1 8.0 8.0 6.6 5.7
1.11 1.12 1.11 1.11 1.13 1.13 1.12 1.13 1.13 1.13 1.16 1.13 1.15 1.14 1.15 1.15 1.15 1.46 1.46 1.21 1.13
116.6 119.2 117.1 116.9 110.8 110.1 109.8 111.9 110.5 110.1 105.4 103.3 103.4 103.3 103.4 103.4 103.4 93.3 93.3 91.3 85.1
13.6 13.9 13.6 13.6 12.9 12.8 12.8 13.1 12.9 12.8 12.4 12.1 12.1 12.1 12.1 12.1 12.1 13.4 13.4 11.1 9.7
S S 15x100 15x100
62 90 40 2 7
19004
8 89 98 9..4 4
1 11 19 9..8 9
5 5..5 52 3
5 52 0..0 9
1 15 5..3 0
1 1..3 33 1
1 14 47 7..3 7
2 27 7..4 2
39
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Designation S 15x100 S 15x100 S 15x100 S 15x100 S 15x100 S 15x95 S 15x95 S 15x95 S 15x95 S 15x95 S 15x95 S 15x95 S 15x90 S 15x90 S 15x90 S 15x90 S 15x90 S 15x90 S 15x90 S 15x85.1 S 15x85 S 15x85 S 15x85 S 15x85 S 15x85 S 15x85 S 15x85 S 15x81.3 S 15x81.3 S 15x81.3
Source Reference Number 30 15 4 10 12 13 33 34 8 16 3 19 20 22 30 15 4 10 12 23 33 34 8 16 19 20 22 3 30 15 4 10 12 23 33 34 8 16 27 3 15 30 19 20 22 4 10 12 13 33 34 8 16 32 33 10 8 16 22
Area
Depth
A
d
tw
bf
tf
T
k
bf /2tf
h/tw
Fy'''
in.2 29.41 29.41 29.41 29.41 29.08 28.00 27.98 27.94 27.94
in. 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00
in. 1.192 1.190 1.184 1.170 1.167 1.070 1.094 1.094 1.090
in. 6.792 6.790 6.774 6.770 6.767 6.710 6.694 6.694 6.690
in. 1.034 1.035 1.043 1.034 1.034 1.035 1.033 1.034 1.035
in. 10.836 10.830 10.801 10.836 10.836 11.211 10.821 10.836 10.830
in. 2.082 2.085 2.099 2.082 2.082 1.894 2.089 2.082 2.085
3.29 3.28 3.25 3.28 3.27 3.24 3.24 3.24 3.23
9.1 9.1 9.1 9.3 9.3 10.5 9.9 9.9 9.9
ksi -
95.0 95.0 95.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 85.1 85.0 85.0 85.0 85.0 85.0 85.0 85.0 81.3 81.3 81.3
27.94 27.94 27.59 26.51 26.50 26.47 26.47 26.47 26.47 26.12 25.03 25.00 25.00 25.00 25.04 25.00 25.00 24.65 23.91 23.81 23.57
15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00
1.085 1.070 1.068 0.966 0.970 0.996 0.990 0.987 0.970 0.970 0.910 0.870 0.900 0.898 0.898 0.889 0.870 0.872 0.800 0.800 0.800
6.675 6.670 6.668 6.596 6.610 6.596 6.590 6.577 6.570 6.570 6.710 6.510 6.500 6.498 6.498 6.479 6.470 6.472 6.400 6.400 6.400
1.043 1.034 1.034 1.035 1.035 1.034 1.035 1.043 1.034 1.034 0.925 1.035 1.035 1.034 1.033 1.043 1.034 1.034 1.034 1.035 1.034
10.801 10.836 10.836 10.830 11.211 10.836 10.830 10.801 10.836 10.836 11.090 11.211 10.830 10.836 10.838 10.801 10.836 10.836 10.836 10.830 10.836
2.099 2.082 2.082 2.085 1.894 2.082 2.085 2.099 2.082 2.082 1.955 1.894 2.085 2.082 2.081 2.099 2.082 2.082 2.082 2.085 2.082
3.20 3.23 3.23 3.19 3.19 3.19 3.18 3.15 3.18 3.18 3.63 3.14 3.14 3.14 3.15 3.11 3.13 3.13 3.10 3.09 3.10
10.0 10.1 10.1 11.2 11.6 10.9 10.9 10.9 11.2 11.2 12.2 12.9 12.0 12.1 12.1 12.2 12.5 12.4 13.5 13.5 13.5
-
80 0..0 0 8 80.0 80.0 80.0 80.0 80.0 80.0 80.0 75.0 75.0 75.0 75.0 75.0 75.0 75.0 75.0 70.4 70.0 70.0 70.0 70.0 70.0
23 3..6 80 1 2 23.57 23.56 23.54 23.53 23.53 23.50 23.50 22.10 22.10 22.10 22.08 22.06 22.05 22.05 21.85 20.70 20.61 20.60 20.60 20.60 20.60
15 5..0 00 0 1 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00
0..8 84 10 0 0 0.800 0.982 0.830 0.800 0.980 0.770 0.910 0.840 0.670 0.810 0.884 0.882 0.730 0.620 0.868 0.760 0.786 0.630 0.640 0.740 0.720
6..4 46 05 0 6 6.400 6.392 6.630 6.400 6.390 6.410 6.390 6.340 6.310 6.290 6.292 6.292 6.530 6.375 6.278 6.360 6.196 6.430 6.265 6.240 6.200
1..0 00 41 3 1 1.035 0.815 0.930 1.034 0.815 1.035 0.900 0.900 1.035 0.900 0.815 0.816 0.930 1.060 0.816 0.805 0.815 0.930 1.001 0.900 0.900
11 0..2 84 05 1 1 10.830 11.641 11.314 10.836 11.641 11.211 11.618 11.698 11.211 11.618 11.641 11.639 11.314 11.298 11.639 11.685 11.641 11.314 11.245 11.698 11.618
2..8 07 98 9 1 2.085 1.679 1.843 2.082 1.679 1.894 1.691 1.651 1.894 1.691 1.679 1.680 1.843 1.851 1.680 1.658 1.679 1.843 1.878 1.651 1.691
3..2 03 7 3 3.09 3.92 3.56 3.10 3.92 3.10 3.55 3.52 3.05 3.49 3.86 3.86 3.51 3.01 3.85 3.95 3.80 3.46 3.13 3.47 3.44
13 3..4 3 1 13.5 11.9 13.6 13.5 11.9 14.6 12.8 13.9 16.7 14.3 13.2 13.2 15.5 18.2 13.4 15.4 14.8 18.0 17.6 15.8 16.1
--
70.0 70.0 69.2 69.2 66.67 66.67 65.0 65.0 65.0 65.0 65.0
20.59 20.38 20.38 20.36 19.70 19.60 19.14 19.12 19.11 19.10 18.91
15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00
0.784 0.770 0.600 0.671 0.650 0.670 0.688 0.686 0.650 0.620 0.672
6.194 6.180 6.400 6.171 6.130 6.170 6.098 6.096 6.270 6.100 6.082
0.816 0.816 0.925 0.938 0.900 0.900 0.815 0.816 0.805 0.900 0.816
11.639 11.639 11.425 11.371 11.618 11.698 11.641 11.639 11.708 11.618 11.639
1.680 1.680 1.788 1.815 1.691 1.651 1.679 1.680 1.646 1.691 1.680
3.80 3.79 3.46 3.29 3.41 3.43 3.74 3.74 3.89 3.39 3.73
14.8 15.1 19.0 16.9 17.9 17.5 16.9 17.0 18.0 18.7 17.3
-
60.8 60.8 60.0 60.0 60.0 60.0 60.0 60.0 59.0 57.6
17.88 17.68 17.67 17.65 17.64 17.64 17.60 17.60 17.30 16.95
15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00
0.590 0.590 0.590 0.750 0.550 0.500 0.540 0.520 0.468 0.500
6.000 6.000 6.000 5.840 6.170 6.125 6.040 6.000 5.968 6.100
0.816 0.816 0.816 0.620 0.805 0.860 0.900 0.900 0.938 0.805
11.639 11.639 11.639 12.362 11.708 11.718 11.698 11.618 11.371 11.685
1.680 1.680 1.680 1.319 1.646 1.641 1.651 1.691 1.815 1.658
3.68 3.68 3.68 4.71 3.83 3.56 3.36 3.33 3.18 3.79
19.7 19.7 19.7 16.5 21.3 23.4 21.7 22.3 24.3 23.4
-
56 6..5 9 5
16 6..7 70 4 1
15 5..0 00 0 1
0..5 67 02 0 0
5..8 99 52 0 5
0..7 60 93 5 0
12 1..1 94 23 5 1
1..4 52 38 8 1
4..1 29 8 4
11 9..2 9 2
--
Wt. per ft lb 100.0 100.0 100.0 100.0 100.0 95.0 95.0 95.0 95.0
Flange Width
Average Flange Thickness Distance
Web Thickness
Distance
Compact Section Criteria
4 12 23
S 15x80 15x80 S S 15x80 S 15x80 S 15x80 S 15x80 S 15x80 S 15x80 S 15x80 S 15x75 S 15x75 S 15x75 S 15x75 S 15x75 S 15x75 S 15x75 S 15x75 S 15x70.4 S 15x70 S 15x70 S 15x70 S 15x70 S 15x70 S 15x70 S 15x70 S 15x69.2 S 15x69.2 S 15x66.67 S 15x66.67 S 15x65 S 15x65 S 15x65 S 15x65 S 15x65
18 15 19 19 20 28 30 15 23 26 3 1 25 26 19 20 4 12 15 17 21 23 30 28 29 7 10 13 16 22 34 27 19 20 28 18 3 26 4 12 15 17 21 23 30 7 10 13 16 22 34 27 18 25 3 19 20 4 12 15 17 21 23 30 28 26 7 10 13 16 22 34
S 15x60.8 S 15x60.8 S 15x60 S 15x60 S 15x60 S 15x60 S 15x60 S 15x60 S 15x59 S 15x57.6
27
S 15x56.5 15x56.9 S
18
33 7 10 13 16 22 30 32 34 4 12 15 17 19 20 21 23 15 28 29 123 25 26 18
27
40
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Elastic Properties Axis x-x
Axis y-y
Plastic Modulus
X2 x 106 (1/ksi)2 90 90 90 96 95 132 112 113 113
Ix
Sx
r x
Iy
Sy
r y
Zx
Zy
Designation S 15x100 S 15x100 S 15x100 S 15x100 S 15x100 S 15x95 S 15x95 S 15x95 S 15x95
X1 ksi 7176 7189 7177 7079 7071 6485 6740 6718 6722
in.4 900.5 898.6 900.5 898.6 892.4 870.3 871.7 872.9 871.0
in.3 120.1 119.8 120.1 119.8 119.0 116.0 116.2 116.4 116.1
in. 5.53 5.53 5.53 5.53 5.54 5.58 5.58 5.59 5.58
in.4 51.0 50.8 51.0 50.3 50.2 49.4 48.3 48.4 48.3
in.3 15.0 15.0 15.1 14.9 14.8 14.7 14.4 14.5 14.4
in. 1.31 1.31 1.31 1.31 1.31 1.33 1.31 1.32 1.31
in.3 147.8 147.8 147.9 146.5 146.4 141.6 142.2 142.3 142.2
in.3 27.2 27.2 27.2 26.9 26.8 26.0 25.8 25.8 25.8
S 15x95 S 15x95 S 15x95 S 15x90 S 15x90 S 15x90 S 15x90 S 15x90 S 15x90 S 15x90 S 15x85.1 S 15x85 S 15x85 S 15x85 S 15x85 S 15x85 S 15x85 S 15x85 S 15x81.3 S 15x81.3 S 15x81.3
6718 6618 6613 6185 6055 6288 6279 6293 6182 6191 5719 5664 5916 5890 5898 5900 5786 5801 5528 5524 5536
113 121 120 152 166 141 142 140 151 149 215 206 172 175 175 173 188 184 217 216 214
872.9 871.1 864.5 844.1 842.2 845.4 843.4 845.4 843.5 837.0 789.2 814.0 815.9 817.8 816.5 817.8 815.9 809.4 795.5 795.5 789.1
116.4 116.1 115.3 112.5 112.3 112.7 112.5 112.7 112.5 111.6 105.2 108.5 108.8 109.0 108.9 109.0 108.8 107.9 106.1 106.1 105.2
5.59 5.58 5.60 5.64 5.64 5.64 5.64 5.65 5.65 5.66 5.61 5.71 5.71 5.72 5.71 5.72 5.71 5.73 5.78 5.78 5.79
48.4 47.7 47.7 45.8 46.9 45.9 45.8 45.9 45.3 45.2 42.6 44.6 43.5 43.6 43.5 43.6 43.0 42.9 41.8 41.8 41.3
14.5 14.3 14.3 13.9 14.2 13.9 13.9 14.0 13.8 13.8 12.7 13.7 13.4 13.4 13.4 13.4 13.3 13.3 12.9 13.1 12.9
1.32 1.31 1.31 1.32 1.33 1.32 1.32 1.32 1.31 1.32 1.30 1.34 1.32 1.32 1.32 1.32 1.31 1.32 1.32 1.32 1.32
142.3 140.9 140.8 135.6 136.0 136.8 136.5 136.8 135.3 135.3 126.6 130.4 131.5 131.2 131.2 131.3 129.7 129.8 125.7 125.8 125.7
25.8 25.5 25.4 24.3 24.6 24.5 24.4 24.5 24.1 24.1 22.3 23.3 23.3 23.2 23.2 23.2 22.9 22.9 22.0 22.0 22.0
S 15x80 15x80 S S 15x80 S 15x80 S 15x80 S 15x80 S 15x80 S 15x80 S 15x80 S 15x75 S 15x75 S 15x75 S 15x75 S 15x75 S 15x75 S 15x75 S 15x75 S 15x70.4 S 15x70 S 15x70 S 15x70 S 15x70 S 15x70
54 62 04 3 5 5543 5776 5229 5484 5767 5306 5467 5098 5003 5057 5301 5291 4863 4964 5231 4819 4861 4543 4755 4707 4710
23 04 4 2 212 223 282 217 225 253 253 312 305 330 299 301 356 313 313 431 400 440 351 404 411
78 97 5..4 5 7 789.1 719.3 773.8 795.5 718.8 785.9 747.8 728.4 757.7 720.4 691.8 691.2 746.0 757.7 687.2 654.1 664.2 718.7 731.1 700.3 692.8
10 05 6..0 1 1 105.2 95.9 103.2 106.1 95.8 104.8 99.7 97.1 101.0 96.0 92.2 92.2 99.5 101.0 91.6 87.2 88.6 95.8 97.5 93.4 92.4
5..7 78 8 5 5.79 5.53 5.73 5.78 5.53 5.82 5.64 5.74 5.86 5.72 5.60 5.60 5.82 5.86 5.61 5.62 5.68 5.91 5.95 5.83 5.80
42 1..1 8 4 41.3 32.5 40.7 41.8 32.5 42.2 37.0 35.8 40.1 34.6 30.7 30.7 38.6 40.1 30.6 30.9 29.0 36.7 37.8 33.9 32.5
13 3..0 1 1 12.9 10.2 12.3 13.1 10.2 13.2 11.6 11.3 12.7 11.0 9.8 9.8 11.8 12.6 9.8 9.7 9.4 11.4 12.1 10.9 10.5
1..3 34 2 1 1.32 1.18 1.32 1.32 1.17 1.35 1.25 1.27 1.35 1.25 1.18 1.18 1.32 1.35 1.18 1.22 1.19 1.33 1.35 1.28 1.26
12 26 6..0 8 1 125.8 117.7 122.5 125.7 117.6 124.8 120.6 117.0 119.1 115.0 112.2 112.1 116.8 119.8 111.3 106.7 106.7 111.2 114.7 111.4 110.0
22 2..2 3 2 22.0 18.8 21.4 22.0 18.8 22.1 20.1 19.6 21.0 18.9 17.6 17.6 20.2 21.6 17.5 17.1 16.6 19.2 20.0 18.5 18.0
S 15x70 S 15x70 S 15x69.2 S 15x69.2 S 15x66.67 S 15x66.67 S 15x65 S 15x65 S 15x65 S 15x65 S 15x65
4857 4802 4420 4711 4471 4461 4467 4465 4238 4371 4411
401 417 493 393 487 478 526 527 629 517 548
663.6 659.6 710.0 698.3 676.3 681.4 636.6 636.0 646.6 665.3 632.1
88.5 87.9 94.7 93.1 90.1 90.9 84.9 84.8 86.2 88.7 84.3
5.68 5.69 5.90 5.86 5.87 5.90 5.77 5.77 5.82 5.90 5.78
29.0 28.8 36.2 33.8 31.7 32.7 27.4 27.4 29.1 30.7 27.2
9.4 9.3 11.3 11.0 10.3 10.6 9.0 9.0 9.3 10.1 8.9
1.19 1.19 1.33 1.29 1.27 1.29 1.20 1.20 1.23 1.27 1.20
106.6 105.8 109.2 110.2 106.0 107.4 101.2 101.1 100.7 104.3 100.3
16.6 16.5 18.9 18.4 17.3 17.8 15.6 15.6 16.0 17.0 15.5
S 15x60.8 S 15x60.8 S 15x60 S 15x60 S 15x60 S 15x60 S 15x60 S 15x60 S 15x59 S 15x57.6
4122 4124 4123 4381 3911 3827 4064 4079 4142 3908
684 675 675 695 807 805 626 631 566 838
612.9 609.0 609.0 538.6 619.0 644.0 644.0 637.7 640.9 583.8
81.7 81.2 81.2 71.8 82.5 85.9 85.9 85.0 85.3 77.8
5.86 5.87 5.87 5.52 5.92 6.04 6.04 6.02 6.08 5.87
26.0 26.0 26.0 18.2 27.6 30.4 30.4 29.2 30.3 27.0
8.7 8.7 8.7 6.2 8.9 9.9 10.1 9.7 10.2 8.8
1.21 1.21 1.21 1.01 1.25 1.32 1.32 1.29 1.32 1.26
95.7 95.7 95.7 87.5 95.1 96.5 100.1 98.7 98.8 92.0
14.7 14.7 14.7 11.6 15.1 15.9 16.5 16.0 16.5 14.7
S S 15x56.9 15x56.5
3 38 72 62 6
1918044
54 63 0..7 8 5
72 4..5 8 7
5..7 71 9 5
21 5 2 1..1
7..2 7 2
1 1..1 13 2
8 86 5..9 6
1 12 2..6 4
41
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Designation S 15x55 S 15x55 S 15x55 S 15x55 S 15x55 S 15x55 S 15x55 S 15x52.9 S 15x50 S 15x50 S 15x50 S 15x50 S 15x50 S 15x50 S 15x49.3 S 15x48 S 15x47.5 S 15x45 S 15x45 S 15x45 S 15x45 S 15x45 S 15x45 S 15x45
Source Reference Number 3 26 30 19 20 4 12 15 17 21 23 28 7 10 13 16 22 34 27 19 20 30 4 12 15 17 21 23 28 1 2 3 24 25 26 29 7 10 11 13 14 16 22 34 35 27 18 18 19 20 30 4 12 15 17 21 23 28 3 26 7 10 13 16 22 34
Wt. per ft lb 55.0 55.0 55.0 55.0 55.0 55.0 55.0 52.9 50.0 50.0 50.0 50.0 50.0 50.0 49.3 48.0 47.5 45.0 45.0 45.0 45.0 45.0 45.0 45.0
Flange Width
Average Flange Thickness Distance
Area
Depth
Web Thickness
A
d
tw
bf
tf
T
k
bf /2tf
h/tw
Fy'''
in.2 16.20 16.20 16.18 16.18 16.18 16.17 16.06 15.56 14.84
in. 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00
in. 0.550 0.550 0.665 0.664 0.656 0.580 0.648 0.600 0.566
in. 5.850 5.850 5.755 5.754 5.746 5.920 5.738 5.790 5.656
in. 0.750 0.750 0.622 0.622 0.622 0.680 0.622 0.600 0.622
in. 12.055 12.039 12.354 12.354 12.354 12.105 12.354 12.292 12.354
in. 1.472 1.481 1.323 1.323 1.323 1.447 1.323 1.354 1.323
3.90 3.90 4.63 4.63 4.62 4.35 4.61 4.83 4.55
21.9 21.9 18.6 18.6 18.8 20.9 19.1 20.5 21.8
ksi -
14.71 14.71 14.70 14.70 14.59 14.49 14.10 14.10 13.37 13.24 13.24 13.23 13.20 13.20 13.12
15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00
0.567 0.558 0.480 0.450 0.550 0.450 0.406 0.542 0.468 0.469 0.460 0.450 0.480 0.460 0.452
5.657 5.648 5.820 5.750 5.640 5.800 5.726 5.642 5.558 5.559 5.550 5.540 5.580 5.560 5.542
0.622 0.622 0.680 0.750 0.622 0.695 0.703 0.563 0.622 0.622 0.622 0.620 0.590 0.590 0.622
12.354 12.354 12.105 12.055 12.354 12.092 12.143 12.455 12.354 12.354 12.354 12.362 12.395 12.479 12.354
1.323 1.323 1.447 1.472 1.323 1.454 1.428 1.272 1.323 1.323 1.323 1.319 1.302 1.261 1.323
4.55 4.54 4.28 3.83 4.53 4.17 4.07 5.02 4.47 4.47 4.46 4.47 4.73 4.71 4.45
21.8 22.1 25.2 26.8 22.5 26.9 29.9 23.0 26.4 26.3 26.9 27.5 25.8 27.1 27.3
-
Distance
Compact Section Criteria
S 15x42.9 S 15x42.9 S 15x42.4 S 15x42 S 15x42 S 15x42 S 15x41.2 S 15x41 S 15x41 S 15x39 S 15x37.5 S 15x37.3 S 15x36 S 15x36 S 15x36 S 15x36 S 15x35 S 15x33
33 7 10 11 13 14 16 17 22 30 32 34 35 27 4 12 15 19 20 21 23 25 26 28 27 29 1 2 3 24 18 6 7 5 34 31 33 9 34
42.9
12.62
15.00
0.410
5.500
0.622
12.354
1.323
4.42
30.1
-
42.9 42.4 42.0 42.0 42.0
12.49 12.48 12.48 12.40 12.35
15.00 15.00 15.00 15.00 15.00
0.410 0.410 0.410 0.400 0.410
5.500 5.500 5.500 5.500 5.500
0.622 0.620 0.622 0.590 0.620
12.354 12.362 12.354 12.479 12.362
1.323 1.319 1.323 1.261 1.319
4.42 4.44 4.42 4.66 4.44
30.1 30.2 30.1 31.2 30.2
-
41.2 41.0 41.0 39.0 37.5 37.3 36.0 36.0 36.0 36.0 35.0 33.0
12.11 12.05 12.00 11.50 10.91 10.91 10.63 10.59 10.59 10.59 10.22 9.71
15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00 15.00
0.370 0.400 0.400 0.375 0.332 0.332 0.289 0.340 0.289 0.289 0.330 0.280
5.560 5.500 5.500 5.475 6.750 6.750 5.500 5.560 5.500 5.500 5.500 5.500
0.600 0.590 0.590 0.563 0.456 0.456 0.588 0.513 0.588 0.588 0.490 0.513
12.292 12.395 12.395 12.455 13.169 13.169 12.513 12.665 12.513 12.513 13.023 12.665
1.354 1.302 1.302 1.272 0.915 0.915 1.244 1.167 1.244 1.244 0.988 1.167
4.63 4.66 4.66 4.87 7.40 7.40 4.68 5.42 4.68 4.68 5.61 5.37
33.2 31.0 31.0 33.2 39.7 39.7 43.3 37.3 43.3 43.3 39.5 45.2
58 58 41 41 34 46 34 34 41 31
66.9 65.0 65.0 60.0 60.0 60.0 60.0 56.7 56.67
19.68 19.12 19.10 17.70 17.64 17.64 17.60 16.70 16.70
12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00
0.850 0.800 0.880 0.848 0.680 0.948 0.750 0.810 0.807
6.040 5.990 6.250 5.973 5.870 5.738 6.120 5.920 5.917
0.895 0.885 0.795 0.657 0.885 0.660 0.795 0.690 0.690
8.525 8.571 8.979 9.351 8.571 9.219 8.979 9.279 9.279
1.738 1.714 1.511 1.325 1.714 1.391 1.511 1.361 1.361
3.37 3.38 3.93 4.55 3.32 4.35 3.85 4.29 4.29
10.0 10.7 10.2 11.0 12.6 9.7 12.0 11.5 11.5
-
16 6..2 35 2 1 16.18 16.18 16.17 16.10 16.04 14.79 14.71 14.71 14.70 14.70 14.70 14.70 14.57 14.20 14.00 13.32 13.24 13.24 13.23 13.20 13.20
12 2..0 00 0 1 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00
0..8 52 68 0 0 0.828 0.822 0.560 0.630 0.810 0.706 0.705 0.699 0.640 0.640 0.598 0.550 0.687 0.593 0.600 0.583 0.583 0.576 0.540 0.515 0.510
5..6 71 58 0 5 5.618 5.612 5.750 6.000 5.600 5.496 5.495 5.489 5.750 5.750 5.723 5.680 5.477 5.718 5.450 5.373 5.373 5.366 5.370 5.625 5.620
0..6 86 90 5 0 0.660 0.660 0.885 0.795 0.660 0.660 0.660 0.660 0.690 0.690 0.657 0.770 0.660 0.657 0.680 0.660 0.660 0.660 0.680 0.690 0.690
8..2 61 99 2 9 9.221 9.221 8.571 8.979 9.221 9.219 9.221 9.221 9.279 9.279 9.351 8.912 9.221 9.351 9.152 9.219 9.221 9.221 9.246 9.279 9.279
1..3 69 51 4 1 1.390 1.390 1.714 1.511 1.390 1.391 1.390 1.390 1.361 1.361 1.325 1.544 1.390 1.325 1.424 1.391 1.390 1.390 1.377 1.361 1.361
3..2 26 1 4 4.26 4.25 3.25 3.77 4.25 4.16 4.17 4.16 4.17 4.17 4.36 3.69 4.15 4.35 4.01 4.07 4.07 4.07 3.95 4.08 4.07
11 5..1 5 1 11.1 11.2 15.3 14.3 11.4 13.1 13.1 13.2 14.5 14.5 15.6 16.2 13.4 15.8 15.3 15.8 15.8 16.0 17.1 18.0 18.2
--
13.10
12.00
0.565
5.355
0.660
9.221
1.390
4.06
16.3
-
S 12x66.9 S 12x65 S 12x65 S 12x60 S 12x60 S 12x60 S 12x60 S 12x56.7 S 12x56.67
26 27 24 16 27 18 24 2 3 26
S 12x55.5 S 12x55 S 12x55 S 12x55 S 12x55 S 12x55 S 12x55 S 12x50 S 12x50 S 12x50 S 12x50 S 12x50 S 12x50 S 12x50 S 12x50 S 12x48 S 12x47.6 S 12x45 S 12x45 S 12x45 S 12x45 S 12x45 S 12x45
24
55 5..0 5 5 55.0 55.0 55.0 55.0 55.0 50.0 50.0 50.0 50.0 50.0 50.0 50.0 50.0 48.0 47.6 45.0 45.0 45.0 45.0 45.0 45.0
S 12x45
7 11 14 20 33
45.0
17 28 4 10 13 15 19 21 27 23 24 7 11 14 20 33 17 28 4 10 13 15 19 21 3 24 16 27 7 9 11 12 14 20 33 35 16 26 17 28 4 10 13 19 21 27 3
42
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Elastic Properties Axis x-x
Axis y-y
Plastic Modulus
X2 x 106 (1/ksi)2 1014 1006 956 960 1000 1144 1032 1317 1439
Ix
Sx
r x
Iy
Sy
r y
Zx
Zy
Designation S 15x55 S 15x55 S 15x55 S 15x55 S 15x55 S 15x55 S 15x55 S 15x52.9 S 15x50
X1 ksi 3734 3744 3977 3972 3932 3679 3895 3649 3513
in.4 557.8 557.3 511.0 511.0 511.0 542.8 508.7 497.7 489.2
in.3 74.4 74.3 68.1 68.1 68.1 72.4 67.8 66.4 65.2
in. 5.87 5.87 5.62 5.62 5.62 5.79 5.63 5.65 5.74
in.4 22.2 22.2 17.1 17.1 17.1 20.3 17.0 17.1 16.1
in.3 7.6 7.6 5.9 5.9 5.9 6.9 5.9 5.9 5.7
in. 1.17 1.17 1.02 1.00 1.02 1.12 1.03 1.05 1.04
in.3 87.5 87.5 82.9 82.8 82.3 84.5 81.9 78.5 77.3
in.3 12.9 12.9 10.9 10.9 10.8 12.0 10.8 10.4 10.1
S 15x50 S 15x50 S 15x50 S 15x50 S 15x50 S 15x49.3 S 15x48 S 15x47.5 S 15x45 S 15x45 S 15x45 S 15x45 S 15x45 S 15x45 S 15x45
3540 3501 3333 3433 3469 3255 3242 3363 3146 3170 3138 3061 3140 3037 3111
1402 1465 1558 1299 1510 1640 1724 1838 2042 1987 2070 2239 2152 2459 2125
483.4 483.4 515.2 529.7 481.1 518.6 459.9 451.1 461.6 455.8 455.9 460.3 446.6 446.1 453.6
64.5 64.5 68.7 70.6 64.2 69.2 66.1 60.1 61.5 60.8 60.8 61.4 59.5 59.5 60.5
5.73 5.73 5.92 6.00 5.74 5.98 5.93 5.66 5.88 5.87 5.87 5.90 5.82 5.88 5.88
16.0 16.0 19.2 21.0 16.0 19.7 19.2 14.5 15.2 15.0 15.1 15.0 14.7 14.5 15.0
5.7 5.7 6.6 7.3 5.7 6.8 6.7 5.1 5.5 5.4 5.4 5.4 5.3 5.2 5.4
1.04 1.04 1.14 1.20 1.05 1.17 1.16 1.01 1.07 1.06 1.07 1.06 1.06 1.06 1.07
77.3 76.8 78.9 81.9 76.4 78.4 76.2 71.8 71.8 71.8 71.3 70.6 70.3 69.2 70.9
10.1 10.1 11.3 12.1 10.0 11.4 11.1 9.16 9.45 9.45 9.39 9.30 9.16 9.03 9.34
S 15x42.9
2979
2442
444.3
59.2
5.93
14.6
5.3
1.08
68.5
9.07
S 15x42.9 S 15x42.4 S 15x42 S 15x42 S 15x42
2979 2967 2978 2849 2937
2417 2454 2417 3025 2479
441.8 441.8 441.8 429.6 443.7
58.9 58.9 58.9 57.3 59.2
5.95 5.95 5.95 5.90 5.99
14.6 14.6 14.6 14.0 14.4
5.3 5.3 5.3 5.1 5.2
1.08 1.08 1.08 1.08 1.08
68.5 68.4 68.5 65.8 68.4
9.07 9.05 9.07 8.65 9.05
S 15x41.2 S 15x41 S 15x41 S 15x39 S 15x37.5 S 15x37.3 S 15x36 S 15x36 S 15x36 S 15x36 S 15x35 S 15x33
2820 2874 2863 2739 2081 2081 2519 2434 2514 2542 2241 2274
2956 2835 2845 3466 9400 9400 4096 5303 4096 4005 7432 6394
433.0 424.1 424.1 403.3 405.5 405.5 405.1 381.5 405.1 400.9 367.9 365.0
57.7 56.5 56.6 53.8 54.1 54.1 54.0 50.9 54.0 53.4 49.0 48.7
5.98 5.94 5.94 5.92 6.10 6.10 6.17 6.00 6.17 6.15 6.00 6.13
14.9 14.0 14.0 13.1 19.9 19.9 13.5 12.0 13.5 13.5 11.6 11.6
5.3 5.1 5.1 4.8 5.9 5.9 4.9 4.3 4.9 4.9 4.2 4.2
1.11 1.08 1.08 1.06 1.35 1.35 1.13 1.07 1.13 1.13 1.06 1.09
65.6 65.8 65.8 62.5 61.2 61.2 60.3 57.8 60.3 60.3 55.3 54.4
8.89 8.65 8.65 8.11 9.77 9.77 8.20 7.42 8.20 8.20 7.08 7.12
S 12x66.9 S 12x65 S 12x65 S 12x60 S 12x60 S 12x60 S 12x60 S 12x56.7 S 12x56.67
6671 6245 6288 6009 5730 6677 5637 5685 5676
109 134 139 200 177 129 201 215 217
403.4 403.5 393.3 338.0 385.8 339.5 375.7 341.8 341.4
67.2 67.3 65.6 56.3 64.3 56.6 62.6 57.0 56.9
4.53 4.59 4.55 4.37 4.68 4.39 4.63 4.52 4.52
29.7 28.9 28.8 21.0 27.0 18.9 26.9 21.5 21.4
9.9 9.7 9.2 7.0 9.2 6.6 8.8 7.3 7.2
1.23 1.23 1.23 1.09 1.24 1.03 1.24 1.13 1.13
82.1 79.8 79.4 68.6 75.5 69.9 74.7 69.0 68.9
17.29 16.55 16.41 12.81 15.46 12.50 15.22 13.01 12.98
S 12x55 12x55.5 S S 12x55 S 12x55 S 12x55 S 12x55 S 12x55 S 12x50 S 12x50 S 12x50 S 12x50 S 12x50 S 12x50 S 12x50 S 12x50 S 12x48 S 12x47.6 S 12x45 S 12x45 S 12x45 S 12x45 S 12x45 S 12x45
59 32 88 7 5 5924 5884 5291 5112 5813 5215 5202 5168 4810 4819 4659 4754 5105 4564 4716 4586 4588 4554 4382 4279 4268
29 16 8 1 196 201 225 274 210 303 304 312 378 376 478 356 325 486 417 462 460 474 525 547 555
32 61 2..9 9 3 321.0 321.0 368.1 358.1 319.3 304.4 303.3 303.3 317.3 316.5 302.0 332.1 301.6 301.4 299.8 286.7 285.7 285.7 292.3 299.3 298.9
63 0..6 5 5 53.5 53.5 61.3 59.7 53.2 50.7 50.6 50.6 52.9 52.8 50.3 55.4 50.3 50.2 50.0 47.8 47.6 47.6 48.7 49.9 49.8
4..4 75 1 4 4.45 4.45 4.77 4.72 4.46 4.54 4.54 4.54 4.65 4.65 4.53 4.75 4.55 4.61 4.63 4.64 4.65 4.65 4.70 4.76 4.76
27 5..5 3 1 17.5 17.5 25.1 25.2 17.3 16.2 16.1 16.1 19.4 19.4 18.1 20.8 16.0 18.0 16.5 15.0 14.9 14.9 15.4 18.1 18.0
8..2 8 6 6.2 6.2 8.7 8.4 6.2 5.9 5.9 5.9 6.7 6.8 6.3 7.3 5.8 6.3 6.1 5.6 5.5 5.6 5.7 6.4 6.4
1..0 24 4 1 1.04 1.04 1.25 1.25 1.04 1.05 1.05 1.05 1.15 1.15 1.11 1.19 1.05 1.13 1.09 1.06 1.06 1.06 1.08 1.17 1.17
75 1..6 7 6 65.6 65.4 71.1 70.4 64.9 61.2 61.1 60.9 62.9 62.9 59.6 64.1 60.5 59.5 58.9 56.8 56.7 56.5 56.6 58.4 58.2
11 4..4 78 2 1 11.48 11.43 14.47 14.21 11.33 10.53 10.52 10.48 11.67 11.67 10.89 12.29 10.39 10.85 10.35 9.67 9.66 9.62 9.80 10.79 10.76
S 12x45
4506
490
284.1
47.3
4.66
14.8
5.5
1.06
56.1
9.55
43
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Designation S12x44.1 S 12x40.8 S 12x40.8
Source Reference Number 25 32 35
Flange Width
Average Flange Thickness Distance
Area
Depth
Web Thickness
Wt. per ft lb 44.1 40.8 40.8
A
d
tw
bf
tf
T
k
bf /2tf
h/tw
Fy'''
in.2 13.04 12.00 11.84
in. 12.00 12.00 12.00
in. 0.680 0.460 0.460
in. 5.340 5.250 5.250
in. 0.508 0.660 0.660
in. 9.695 9.221 9.221
in. 1.153 1.390 1.390
5.26 3.98 3.98
14.3 20.0 20.0
ksi -
40.0 40.0 40.0 40.0 40.0
11.84 11.80 11.77 11.76 11.76
12.00 12.00 12.00 12.00 12.00
0.460 0.390 0.420 0.460 0.558
5.250 5.500 5.250 5.250 5.215
0.660 0.690 0.680 0.660 0.544
9.221 9.279 9.246 9.221 9.647
1.390 1.361 1.377 1.390 1.177
3.98 3.99 3.86 3.98 4.79
20.0 23.8 22.0 20.0 17.3
-
40.0 40.0 39.4 39.0 39.0 38.4 38.0 37.5 36.6 36.0 35.0 35.0 35.0 35.0 35.0 34.1 32.0 32.0 31.8
11.73 11.70 11.60 11.50 11.52 11.29 11.20 11.40 10.80 10.60 10.30 10.29 10.29 10.29 10.20 10.04 9.46 9.40 9.35
12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00 12.00
0.390 0.390 0.400 0.525 0.553 0.530 0.343 0.508 0.493 0.450 0.440 0.436 0.436 0.420 0.428 0.430 0.320 0.350 0.350
5.500 5.500 5.250 5.425 5.213 5.190 5.468 5.414 5.153 5.350 5.220 5.086 5.085 5.070 5.078 5.090 5.250 5.250 5.000
0.705 0.690 0.680 0.535 0.508 0.505 0.657 0.516 0.508 0.535 0.525 0.544 0.545 0.545 0.544 0.508 0.580 0.535 0.544
9.219 9.279 9.319 9.599 9.695 9.679 9.351 9.633 9.695 9.599 9.619 9.647 9.645 9.643 9.647 9.695 9.479 9.599 9.647
1.391 1.361 1.341 1.201 1.153 1.161 1.325 1.184 1.153 1.201 1.191 1.177 1.178 1.179 1.177 1.153 1.261 1.201 1.177
3.90 3.99 3.86 5.07 5.13 5.14 4.16 5.25 5.07 5.00 4.97 4.67 4.67 4.65 4.67 5.01 4.53 4.91 4.60
23.6 23.8 23.3 18.3 17.5 18.3 27.3 19.0 19.7 21.3 21.9 22.1 22.1 23.0 22.5 22.5 29.6 27.4 27.6
-
31.8 31.67 31.5
9.26 9.31 9.27
12.00 12.00 12.00
0.350 0.369 0.350
5.000 5.029 5.000
0.544 0.508 0.545
9.647 9.695 9.643
1.177 1.153 1.179
4.60 4.95 4.59
27.6 26.3 27.6
-
31.5 31.5 31.5 30.6 30.5 30.0 28.0 28.0 27.9 27.5 27.5 27.5 25.0 25.0 25.0
9.30 9.30 9.26 9.01 8.96 9.10 8.24 8.15 8.15 8.09 8.09 8.04 7.35 7.35 7.35
12.00 12.00 12.00 12.00 12.00 12.00 11.88 12.00 12.00 12.00 12.00 12.00 11.88 12.00 12.00
0.350 0.350 0.350 0.340 0.340 0.312 0.314 0.284 0.284 0.301 0.255 0.255 0.240 0.270 0.240
5.130 5.000 5.000 5.000 5.000 5.218 6.569 6.000 6.000 5.061 5.000 5.000 6.495 5.000 5.000
0.525 0.545 0.544 0.505 0.508 0.516 0.370 0.410 0.410 0.464 0.513 0.513 0.355 0.420 0.464
9.619 9.645 9.647 9.679 9.695 9.633 10.200 10.360 10.360 9.882 9.786 9.786 10.200 10.284 9.882
1.191 1.178 1.177 1.161 1.153 1.184 0.840 0.820 0.820 1.059 1.107 1.107 0.840 0.858 1.059
4.89 4.59 4.60 4.95 4.92 5.06 8.88 7.32 7.32 5.46 4.88 4.88 9.15 5.95 5.39
27.5 27.6 27.6 28.5 28.5 30.9 32.5 36.5 36.5 32.8 38.4 38.4 42.5 38.1 41.2
61 48 48 60 44 44 36 44 38
45.0 40.0 40.0 40.0 40.0 40.0
13.14 11.80 11.76 11.75 11.70 11.69
10.00 10.00 10.00 10.00 10.00 10.00
0.450 0.580 0.749 0.590 0.570 0.751
5.250 5.210 5.099 5.150 5.200 5.101
0.900 0.645 0.492 0.620 0.645 0.492
6.823 7.483 7.843 7.352 7.483 7.843
1.589 1.259 1.078 1.324 1.259 1.078
2.92 4.04 5.19 4.15 4.03 5.19
15.2 12.9 10.5 12.5 13.1 10.4
-
40 0..0 0 4 35.0 35.0 35.0 35.0 35.0 34.9 33.0 33.0 33.0 32.0 32.0 31.5 30.3 30.13 30.0 30.0 30.0 30.0 30.0 30.0
11 1..3 61 9 1 10.32 10.30 10.29 10.27 10.22 10.28 9.70 9.70 9.67 9.40 9.40 9.24 8.91 8.74 8.95 8.85 8.82 8.82 8.80 8.75
10 0..0 00 0 1 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00
0..5 75 42 1 0 0.604 0.430 0.602 0.440 0.594 0.500 0.370 0.350 0.370 0.510 0.313 0.508 0.500 0.500 0.455 0.457 0.455 0.440 0.450 0.447
5..1 08 90 1 5 4.954 5.060 4.952 5.000 4.944 4.900 5.000 5.000 5.000 4.940 4.937 4.945 4.700 4.700 4.885 4.807 4.805 4.790 4.890 4.797
0..6 42 96 2 0 0.492 0.645 0.492 0.620 0.492 0.575 0.645 0.645 0.645 0.485 0.626 0.469 0.445 0.445 0.485 0.492 0.492 0.490 0.485 0.492
7..5 81 47 3 7 7.843 7.483 7.843 7.352 7.843 7.559 7.483 7.483 7.483 7.823 7.517 7.893 7.839 7.943 7.823 7.843 7.843 7.849 7.823 7.843
1..2 04 72 8 1 1.078 1.259 1.078 1.324 1.078 1.221 1.259 1.259 1.259 1.089 1.242 1.054 1.081 1.029 1.089 1.078 1.078 1.075 1.089 1.078
5..1 14 8 4 5.04 3.92 5.04 4.03 5.03 4.26 3.88 3.88 3.88 5.09 3.95 5.27 5.28 5.28 5.04 4.89 4.89 4.89 5.04 4.88
13 0..6 6 1 13.0 17.4 13.0 16.7 13.2 15.1 20.2 21.4 20.2 15.3 24.0 15.5 15.7 15.9 17.2 17.2 17.2 17.8 17.4 17.5
--
29.8
8.78
10.00
0.350
4.750
0.575
7.559
1.221
4.13
21.6
-
Distance
Compact Section Criteria
S 12x40 S 12x40 S 12x40 S 12x40 S 12x40 S 12x40 S 12x40 S 12x39.4 S 12x39 S 12x39 S 12x38.4 S 12x38 S 12x37.5 S 12x36.6 S 12x36 S 12x35 S 12x35 S 12x35 S 12x35 S 12x35 S 12x34.1 S 12x32 S 12x32 S 12x31.8 S 12x31.8 S 12x31.67 S 12x31.5 S 12x31.5 S 12x31.5 S 12x31.5 S 12x30.6 S 12x30.5 S 12x30 S 12x28 S 12x28 S 12x27.9 S 12x27.5 S 12x27.5 S 12x27.5 S 12x25 S 12x25 S 12x25
4 10 13 17 19 21 23 24 27 28 13 15 22 1 2 3 28 26 2 25 26 16 16 25 3 24 4 10 13 19 21 28 17 27 7 9 11 12 14 20 33 34 25 22 1 2 3 28 32 7 9 11 12 14 15 20 25 30 33 34 35 25 27 23 24 17 26 4 10 13 19 21 28 26 25 16 33 6 B66 7 31 29 5 33 8 31
S 10x45 S 10x40 S 10x40 S 10x40 S 10x40 S 10x40
23 24 4 11 12 15 17 20 22 30 31 28 23 19 7 13 16 21 33
S 10x40 10x40 S S 10x35 S 10x35 S 10x35 S 10x35 S 10x35 S 10x34.9 S 10x33 S 10x33 S 10x33 S 10x32 S 10x32 S 10x31.5 S 10x30.3 S 10x30.13 S 10x30.0 S 10x30.0 S 10x30.0 S 10x30.0 S 10x30.0 S 10x30.0
18 19 3 4 11 12 15 17 20 22 30 31 28 7 10 13 14 16 21 33 34 35 27 123 29 23 24 2 18 18 27 26 3 19 31 28 24 7 13 16 21 33
S 10x29.8
27
44
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Elastic Properties Axis x-x
Axis y-y
Plastic Modulus
Ix
Sx
r x
Iy
Sy
r y
X1 ksi 4822 4068 4068
X2 x 106 (1/ksi)2 475 681 672
Zx
Zy
Designation S12x44.1 S 12x40.8 S 12x40.8
in.4 253.9 270.9 268.9
in.3 42.3 45.1 44.8
in. 4.41 4.75 4.77
in.4 11.4 13.8 13.8
in.3 4.3 5.3 5.3
in. 0.93 1.07 1.08
in.3 51.6 52.3 52.3
in.3 7.92 8.89 8.89
S 12x40 S 12x40 S 12x40 S 12x40 S 12x40
4068 3871 3930 4054 4129
672 738 726 672 761
268.9 281.3 274.7 268.9 245.9
44.8 46.9 45.8 44.8 41.0
4.77 4.90 4.83 4.77 4.57
13.8 16.8 14.3 13.8 11.0
5.3 6.1 5.4 5.3 4.2
1.08 1.20 1.10 1.08 0.96
52.3 53.9 52.2 52.3 49.1
8.89 10.01 9.06 8.89 7.55
S 12x40 S 12x40 S 12x39.4 S 12x39 S 12x39 S 12x38.4 S 12x38 S 12x37.5 S 12x36.6 S 12x36 S 12x35 S 12x35 S 12x35 S 12x35 S 12x35 S 12x34.1 S 12x32 S 12x32 S 12x31.8
3970 3855 3901 3904 4061 3915 3654 3846 3743 3557 3445 3549 3552 3441 3517 3443 3285 3179 3210
658 738 762 898 857 967 949 1013 1124 1211 1349 1242 1238 1370 1279 1472 1406 1701 1689
281.3 281.3 268.3 247.5 235.6 233.8 265.4 238.7 226.9 236.7 232.9 228.3 228.3 231.0 227.0 217.9 229.2 222.3 217.0
46.9 46.9 44.7 41.3 39.3 39.0 44.2 39.8 37.8 39.5 38.8 38.0 38.0 38.5 37.8 36.3 38.2 37.0 36.2
4.90 4.90 4.81 4.64 4.52 4.55 4.86 4.58 4.58 4.73 4.77 4.71 4.71 4.74 4.72 4.66 4.92 4.85 4.82
16.8 16.8 14.6 12.1 10.4 10.2 15.6 11.5 10.1 11.5 10.5 10.1 10.1 10.0 10.0 9.7 11.6 10.3 9.5
6.1 6.1 5.6 4.5 4.0 3.9 5.7 4.3 3.9 4.3 4.0 4.0 4.0 4.0 3.9 3.8 4.4 3.9 3.8
1.20 1.20 1.12 1.03 0.95 0.95 1.18 1.00 0.97 1.04 1.01 0.99 0.99 0.99 0.99 0.98 1.11 1.04 1.01
54.7 53.9 51.7 48.9 47.1 46.1 50.5 47.3 44.9 46.2 44.6 44.6 44.6 44.1 44.3 42.6 44.1 42.6 41.5
10.17 10.01 9.09 7.89 7.15 6.94 9.31 7.51 6.82 7.47 6.98 6.86 6.86 6.78 6.81 6.49 7.46 6.97 6.44
S 12x31.8 S 12x31.67 S 12x31.5
3212 3189 3177
1670 1867 1702
215.8 209.1 218.2
36.0 34.9 36.5
4.83 4.74 4.86
9.5 9.2 9.5
3.8 3.7 3.8
1.01 0.99 1.01
41.5 40.4 41.6
6.44 6.20 6.44
S 12x31.5 S 12x31.5 S 12x31.5 S 12x30.6 S 12x30.5 S 12x30 S 12x28 S 12x28 S 12x27.9 S 12x27.5 S 12x27.5 S 12x27.5 S 12x25 S 12x25 S 12x25
3102 3223 3212 2954 3081 3037 2306 2277 2277 2737 2768 2760 1994 2349 2546
1871 1663 1670 2269 2067 2110 6134 6165 6165 3123 2716 2716 9790 5720 3769
220.5 215.8 215.8 207.9 204.9 211.7 193.6 199.4 199.4 191.5 199.6 199.6 182.8 175.5 182.7
36.7 36.0 36.0 35.7 34.2 35.3 32.6 33.2 33.2 31.9 33.3 33.3 30.8 29.2 30.5
4.88 4.82 4.83 4.80 4.78 4.82 4.85 4.95 4.95 4.88 4.98 4.98 4.98 4.89 4.99
10.3 9.5 9.5 9.0 9.0 10.2 13.9 12.6 12.6 8.0 8.7 8.7 13.4 7.3 7.6
4.0 3.8 3.8 3.6 3.6 3.9 4.3 4.2 4.2 3.2 3.5 3.5 4.1 2.9 3.0
1.04 1.01 1.01 1.00 1.00 1.05 1.30 1.24 1.24 0.99 1.04 1.04 1.35 1.00 1.02
41.3 41.5 41.5 39.2 39.4 40.2 37.7 37.4 37.4 36.2 37.1 37.1 34.0 32.7 34.0
6.54 6.44 6.44 6.00 6.07 6.53 7.51 6.90 6.90 5.44 5.84 5.84 6.80 4.89 5.20
S 10x45 S 10x40 S 10x40 S 10x40 S 10x40 S 10x40
6063 5296 6158 5346 5235 6137
116 249 177 247 258 176
216.1 178.5 158.7 175.5 178.0 158.9
43.2 35.7 31.7 35.1 35.6 31.8
4.06 3.89 3.67 3.86 3.90 3.68
17.9 13.5 9.5 12.4 13.4 9.5
6.8 5.2 3.7 4.8 5.2 3.7
1.17 1.07 0.90 1.03 1.07 0.90
50.5 42.4 39.0 41.2 42.1 39.1
11.86 8.86 7.08 8.33 8.80 7.09
S S 10x40 10x40 S 10x35 S 10x35 S 10x35 S 10x35 S 10x35 S 10x34.9 S 10x33 S 10x33 S 10x33 S 10x32 S 10x32 S 10x31.5 S 10x30.3 S 10x30.13 S 10x30.0 S 10x30.0 S 10x30.0 S 10x30.0 S 10x30.0 S 10x30.0
6 50 09 70 3 5068 4604 5046 4611 4987 4738 4367 3875 4361 4422 4215 4347 4323 4288 4140 4141 4138 3998 4080 4091
1 28 94 0 348 384 352 396 367 402 444 580 444 550 542 597 637 655 699 682 684 768 716 710
1 15 78 2..0 9 146.6 166.1 146.4 163.1 145.8 153.9 161.3 179.6 161.3 139.4 152.6 136.6 129.1 126.8 134.6 134.4 134.2 135.4 134.5 133.5
3 31 4..6 6 29.3 33.2 29.3 32.6 29.2 30.8 32.3 35.9 32.3 27.9 30.5 27.3 25.8 25.4 26.9 26.9 26.8 27.1 26.9 26.7
3 3..6 98 1 3.77 4.02 3.77 3.99 3.78 3.87 4.08 4.54 4.08 3.85 4.02 3.84 3.81 3.81 3.88 3.90 3.90 3.92 3.90 3.91
192.4 .7 8.5 12.3 8.5 11.2 8.5 10.0 11.8 11.8 11.8 8.4 10.8 8.2 6.7 6.7 8.1 7.7 7.7 7.6 8.1 7.6
3 7 4..9 3.4 4.9 3.4 4.5 3.4 4.1 4.7 4.7 4.7 3.4 4.4 3.3 2.9 2.8 3.3 3.2 3.2 3.2 3.3 3.2
0..0 96 0 1 0.91 1.09 0.91 1.04 0.91 0.99 1.10 1.10 1.10 0.95 1.07 0.94 0.87 0.87 0.95 0.93 0.93 0.93 0.96 0.93
30 8..9 8 4 35.4 38.6 35.3 37.5 35.1 36.3 37.1 36.8 37.1 33.2 34.9 32.5 30.3 30.3 31.8 31.7 31.7 31.2 31.7 31.5
7..3 09 3 8 6.28 8.03 6.27 7.52 6.23 6.92 7.74 7.70 7.74 5.97 7.17 5.81 5.03 5.06 5.71 5.58 5.57 5.49 5.71 5.53
S 10x29.8
4061
644
141.4
28.3
4.01
9.0
3.8
1.01
32.6
6.23
45
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Designation S 10x28 S 10x27 S 10x25.9 S 10x25.5 S 10x25.5 S 10x25.4 S 10x25.4 S 10x25.33 S 10x25 S 10x25 S 10x25 S 10x25 S 10x23.8 S 10x23.5 S 10x23.33 S 10x23 S 10x22.4 S 10x22.25 S 10x22 S 10x22 S 10x21
Source Reference Number 26 25 26 12 29 32 34 35 23 3 4 11 15 19 20 22 27 30 28 24 18 27 26 33 8 6 5 9 33
Area
Depth
A
d
tw
bf
tf
T
k
bf /2tf
h/tw
Fy'''
in.2 8.12 7.90 7.49 7.50 7.47 7.47 7.38 7.50 7.50 7.37 7.34 7.30 7.00 6.91 6.87 6.77 6.54 6.54 6.52 6.42 6.18
in. 10.00 10.00 10.00 10.00 10.50 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 9.90 10.00 10.00 10.00 10.00 9.90
in. 0.438 0.370 0.375 0.320 0.300 0.310 0.310 0.320 0.310 0.310 0.310 0.310 0.281 0.300 0.300 0.290 0.252 0.252 0.232 0.250 0.240
in. 4.638 4.810 4.575 4.750 4.750 4.660 4.660 4.750 4.740 4.660 4.660 4.750 4.720 4.500 4.500 5.790 5.500 5.500 4.670 5.000 5.740
in. 0.445 0.485 0.445 0.485 0.485 0.492 0.492 0.485 0.485 0.492 0.490 0.485 0.469 0.445 0.445 0.350 0.379 0.379 0.462 0.400 0.350
in. 7.943 7.823 7.943 7.823 8.323 7.843 7.843 7.823 7.823 7.843 7.849 7.823 7.893 7.839 7.943 8.345 8.511 8.511 7.962 8.357 8.345
in. 1.029 1.089 1.029 1.089 1.089 1.078 1.078 1.089 1.089 1.078 1.075 1.089 1.054 1.081 1.029 0.777 0.744 0.744 1.019 0.821 0.777
5.21 4.96 5.14 4.90 4.90 4.74 4.74 4.90 4.89 4.74 4.76 4.90 5.03 5.06 5.06 8.28 7.26 7.26 5.05 6.25 8.21
18.1 21.1 21.2 24.4 27.7 25.3 25.3 24.4 25.2 25.3 25.3 25.2 28.1 26.1 26.5 28.8 33.8 33.8 34.3 33.4 34.8
ksi 56 56 55 58 53
35.0 35.0 35.0 35.0 35.0 35.0 35.0 33.0 30.0
10.36 10.30 10.29 10.29 10.29 10.29 10.22 9.70 8.96
9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00
0.574 0.720 0.747 0.747 0.732 0.720 0.724 0.510 0.584
5.014 4.760 4.787 4.787 4.772 4.760 4.764 4.950 4.624
0.585 0.460 0.459 0.459 0.459 0.459 0.459 0.585 0.459
6.689 6.963 6.969 6.969 6.969 6.969 6.969 6.689 6.969
1.155 1.019 1.016 1.016 1.016 1.016 1.016 1.155 1.016
4.29 5.17 5.22 5.22 5.20 5.19 5.20 4.23 5.04
11.7 9.7 9.3 9.3 9.5 9.7 9.6 13.1 11.9
-
30.0 30.0 30.0 30.0 30.0 30.0 30.0 30.0 28.6 28.33 27.0 26.0 25.4 25.0 25.0 25.0 25.0 25.0 25.0 25.0 24.5 24.5 23.33 21.8 21.8 21.45 21.0 21.0 21.0 21.0 21.0 20.5 20.03 19.75
8.94 8.90 8.82 8.82 8.76 8.82 8.82 8.80 8.41 8.33 7.90 7.69 7.48 7.49 7.35 7.35 7.28 7.35 7.34 7.30 7.20 6.37 6.90 6.41 6.32 6.31 6.31 6.20 6.18 6.18 6.17 6.04 5.89 5.80
9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00 9.00
0.476 0.570 0.584 0.569 0.561 0.560 0.560 0.410 0.560 0.512 0.310 0.440 0.442 0.421 0.406 0.421 0.397 0.390 0.390 0.400 0.296 0.321 0.350 0.290 0.290 0.290 0.290 0.270 0.290 0.275 0.290 0.280 0.280 0.266
4.851 4.800 4.624 4.609 4.601 4.600 4.600 4.850 4.580 4.742 4.750 4.670 4.462 4.461 4.446 4.461 4.437 4.430 4.430 4.630 4.671 4.445 4.580 4.330 4.330 4.330 4.330 4.500 4.330 4.315 4.330 4.300 4.300 4.390
0.532 0.440 0.459 0.459 0.459 0.460 0.459 0.585 0.420 0.440 0.585 0.440 0.420 0.459 0.459 0.459 0.459 0.459 0.460 0.440 0.532 0.422 0.440 0.459 0.459 0.460 0.459 0.440 0.459 0.459 0.460 0.420 0.420 0.422
6.820 6.989 6.969 6.969 6.969 6.963 6.969 6.689 7.053 6.989 6.689 6.989 7.066 6.969 6.969 6.969 6.969 6.969 6.963 6.989 6.820 7.070 6.989 6.969 6.969 6.963 6.969 6.989 6.969 6.969 6.963 7.066 7.053 7.070
1.090 1.005 1.016 1.016 1.016 1.019 1.016 1.155 0.974 1.005 1.155 1.005 0.967 1.016 1.016 1.016 1.016 1.016 1.019 1.005 1.090 0.965 1.005 1.016 1.016 1.019 1.016 1.005 1.016 1.016 1.019 0.967 0.974 0.965
4.56 5.45 5.04 5.03 5.02 5.00 5.02 4.15 5.45 5.39 4.06 5.31 5.31 4.86 4.85 4.86 4.84 4.83 4.82 5.26 4.39 5.27 5.20 4.72 4.72 4.71 4.72 5.11 4.72 4.71 4.71 5.12 5.12 5.20
14.3 12.3 11.9 12.2 12.4 12.4 12.4 16.3 12.6 13.7 21.6 15.9 16.0 16.6 17.2 16.6 17.6 17.9 17.9 17.5 23.0 22.0 20.0 24.0 24.0 24.0 24.0 25.9 24.0 25.3 24.0 25.2 25.2 26.6
-
8.56 8.34 7.98 7.90 7.54 7.52 7.50 7.50 7.50 7.50
8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00
0.539 0.504 0.455 0.480 0.546 0.542 0.546 0.541 0.530 0.530
4.789 4.734 4.685 4.560 4.276 4.272 4.276 4.271 4.260 4.260
0.500 0.510 0.510 0.500 0.426 0.426 0.426 0.426 0.425 0.426
5.936 5.916 5.916 5.956 6.094 6.094 6.094 6.094 6.046 6.094
1.032 1.042 1.042 1.022 0.953 0.953 0.953 0.953 0.977 0.953
4.79 4.64 4.59 4.56 5.02 5.02 5.02 5.02 5.01 5.01
11.0 11.7 13.0 12.4 11.2 11.2 11.2 11.3 11.4 11.5
-
7.43 7.43
8.00 8.00
0.532 0.542
4.262 4.272
0.426 0.426
6.094 6.094
0.953 0.953
5.01 5.02
11.5 11.2
-
Wt. per ft lb 28.0 27.0 25.9 25.5 25.5 25.4 25.4 25.33 25.0 25.0 25.0 25.0 23.8 23.5 23.33 23.0 22.4 22.25 22.0 22.0 21.0
Flange Width
Average Flange Thickness Distance
Web Thickness
Distance
Compact Section Criteria
S 9x35 S 9x35 S 9x35 S 9x35 S 9x35 S 9x35 S 9x35 S 9x33 S 9x30
17
S 9x30 S 9x30 S 9x30 S 9x30 S 9x30 S 9x30 S 9x30 S 9x30 S 9x28.6 S 9x28.33 S 9x27 S 9x26 S 9x25.4 S 9x25 S 9x25 S 9x25 S 9x25 S 9x25 S 9x25 S 9x25 S 9x24.5 S 9x24.5 S 9x23.33 S 9x21.8 S 9x21.8 S 9x21.45 S 9x21 S 9x21 S 9x21 S 9x21 S 9x21 S 9x20.5 S 9x20.03 S 9x19.75
12 3
22 13 24 25 4 6 7 9 11 14 16 26 5 8 10 15 2 19 13
24 25 4 6 7 9 11 14 16 5 8 10 15 22 26 19 20 17 1 2 17 18 23 2 21 13 4 6 7 9 11 14 16 24 25 5 8 10 15 26 22 19 12 12 18 26 5 7 8 10 11 15 25 21 4 6 9 11 13 16 1 2 3 17 18 23 24 14 22 21 20 12
S 8x32 S 8x28.33 S 8x27 S 8x27 S 8x25.5 S 8x25.5 S 8x25.5 S 8x25.5 S 8x25.5 S 8x25.5
36
32.0 28.33 27.0 27.0 25.5 25.5 25.5 25.5 25.5 25.5
S 8x25.5 S 8x25.25
7 10 12 16 25 37 20
25.5 25.25
19 27 2 28 23 21 34 35 4 9 11 17 18 22 24 26 32
46
46
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Elastic Properties Axis x-x
Axis y-y
Plastic Modulus
X2 x 106 (1/ksi)2 890 984 1203 1179 1734 1200 1180 1179 1214 1180 1217 1210 1502 1581 1632 4081 4233 4233 1860 3299 5074
Ix
Sx
r x
Iy
Sy
r y
Zx
Zy
Designation S 10x28 S 10x27 S 10x25.9 S 10x25.5 S 10x25.5 S 10x25.4 S 10x25.4 S 10x25.33 S 10x25 S 10x25 S 10x25 S 10x25 S 10x23.8 S 10x23.5 S 10x23.33 S 10x23 S 10x22.4 S 10x22.25 S 10x22 S 10x22 S 10x21
X1 ksi 3914 3667 3560 3470 3058 3454 3461 3470 3459 3459 3411 3415 3238 3251 3251 2532 2469 2469 3009 2636 2338
in.4 121.7 127.4 116.4 123.7 137.3 122.9 122.1 123.6 122.5 122.1 123.1 122.5 117.7 112.4 110.2 112.1 113.6 113.6 113.9 110.3 107.5
in.3 24.3 25.5 23.3 24.7 27.5 24.6 24.4 24.7 24.5 24.4 24.6 24.5 23.5 22.5 22.0 22.6 22.7 22.7 22.8 22.1 21.7
in. 3.87 4.00 3.94 4.06 4.52 4.06 4.07 4.06 4.06 4.07 4.10 4.06 3.88 4.03 4.00 4.09 4.17 4.17 4.18 4.15 4.17
in.4 6.4 7.6 6.1 7.3 7.3 6.9 6.9 7.3 7.3 6.9 6.8 7.3 7.1 5.8 5.7 9.6 9.0 9.0 6.4 6.9 9.3
in.3 2.7 3.2 2.6 3.1 3.1 3.0 3.0 3.1 3.1 3.0 2.9 3.1 3.0 2.6 2.6 3.3 3.3 3.3 2.7 2.8 3.2
in. 0.88 0.98 0.90 0.99 0.99 0.96 0.97 0.99 0.99 0.97 0.96 0.99 0.95 0.91 0.91 1.19 1.17 1.17 0.99 1.03 1.22
in.3 28.8 29.7 27.2 28.4 29.8 28.0 28.0 28.4 28.2 28.0 28.0 28.2 26.8 25.3 25.3 25.4 25.4 25.4 25.3 24.5 24.2
in.3 4.80 5.38 4.55 5.16 5.14 4.98 4.98 5.16 5.13 4.98 4.97 5.15 4.89 4.25 4.28 5.47 5.33 5.33 4.55 4.58 5.31
S 9x35 S 9x35 S 9x35 S 9x35 S 9x35 S 9x35 S 9x35 S 9x33 S 9x30
5567 6467 6743 6797 6650 6534 6576 5182 5399
205 144 122 121 132 141 137 256 272
126.6 112.8 112.9 111.8 111.8 111.8 111.3 122.6 102.7
28.1 25.1 25.0 24.8 24.8 24.8 24.7 27.2 22.8
3.50 3.31 3.31 3.29 3.29 3.30 3.30 3.55 3.38
10.9 7.3 7.4 7.3 7.3 7.2 7.3 10.4 6.5
4.4 3.1 3.1 3.1 3.1 3.0 3.0 4.2 2.8
1.03 0.84 0.84 0.84 0.84 0.84 0.84 1.04 0.85
33.4 30.4 30.9 30.9 30.6 30.4 30.4 32.1 27.6
7.46 5.80 5.92 5.92 5.84 5.78 5.80 7.13 5.13
S 9x30 S 9x30 S 9x30 S 9x30 S 9x30 S 9x30 S 9x30 S 9x30 S 9x28.6 S 9x28.33 S 9x27 S 9x26 S 9x25.4 S 9x25 S 9x25 S 9x25 S 9x25 S 9x25 S 9x25 S 9x25 S 9x24.5 S 9x24.5 S 9x23.33 S 9x21.8 S 9x21.8 S 9x21.45 S 9x21 S 9x21 S 9x21 S 9x21 S 9x21 S 9x20.5 S 9x20.03 S 9x19.75
4777 5198 5404 5280 5221 5172 5208 4678 5122 4759 4273 4287 4208 4268 4178 4269 4125 4084 4054 4031 3912 3531 3780 3596 3590 3595 3587 3428 3550 3526 3561 3307 3350 3254
364 313 267 293 305 312 309 350 341 419 449 596 665 595 637 584 663 697 702 720 642 1150 892 1017 1006 993 1006 1194 1006 1055 990 1427 1349 1427
112.1 102.5 101.9 101.9 101.4 102.8 101.9 116.6 96.0 99.0 110.6 94.3 90.5 92.8 91.9 91.9 91.4 92.0 92.8 92.3 101.1 83.4 89.0 85.6 84.9 85.2 84.9 84.3 84.9 84.0 84.9 80.8 79.0 79.8
24.9 22.8 22.6 22.6 22.5 22.8 22.6 25.9 21.3 22.0 24.6 21.0 20.1 20.6 20.4 20.4 20.3 20.4 20.6 20.5 22.5 18.5 19.8 19.0 18.9 18.9 18.9 18.7 18.9 18.7 18.9 18.0 17.6 17.8
3.54 3.39 3.40 3.40 3.40 3.41 3.40 3.63 3.38 3.45 3.72 3.50 3.48 3.52 3.54 3.54 3.54 3.54 3.56 3.54 3.74 3.62 3.60 3.65 3.67 3.67 3.67 3.70 3.67 3.68 3.71 3.66 3.63 3.71
8.9 7.0 6.4 6.4 6.4 6.4 6.4 9.7 5.1 6.7 9.1 6.3 5.3 5.7 5.7 5.7 5.6 5.6 5.6 6.1 7.8 5.0 5.9 5.2 5.2 5.2 5.2 5.6 5.2 5.2 5.1 4.7 4.7 5.0
3.6 2.9 2.8 2.8 2.8 2.8 2.8 4.0 2.2 2.8 3.8 2.7 2.4 2.6 2.5 2.5 2.5 2.5 2.5 2.6 3.3 2.2 2.6 2.4 2.4 2.4 2.4 2.5 2.4 2.4 2.3 2.2 2.2 2.3
0.99 0.88 0.85 0.85 0.85 0.85 0.85 1.05 0.78 0.89 1.07 0.90 0.84 0.87 0.88 0.88 0.88 0.87 0.87 0.91 1.04 0.88 0.93 0.90 0.90 0.90 0.90 0.95 0.90 0.90 0.91 0.88 0.89 0.92
29.3 27.4 27.6 27.3 27.1 27.2 27.1 30.1 25.8 26.3 28.1 24.8 23.4 24.3 24.0 24.3 23.8 23.7 23.7 24.0 25.7 21.4 23.0 21.7 21.7 21.7 21.7 21.4 21.7 21.4 21.7 20.1 20.1 20.3
6.20 5.25 5.13 5.07 5.03 5.04 5.03 6.67 4.67 5.00 6.25 4.71 4.18 4.46 4.41 4.46 4.37 4.35 4.36 4.56 5.47 3.98 4.39 4.01 4.01 4.02 4.01 4.13 4.01 3.96 4.02 3.64 3.67 3.81
S 8x32 S 8x28.33 S 8x27 S 8x27 S 8x25.5 S 8x25.5 S 8x25.5 S 8x25.5 S 8x25.5 S 8x25.5
5602 5422 5111 5245 5635 5607 5643 5597 5464 5497
200 221 268 252 225 229 223 230 248 247
82.9 81.9 79.8 77.6 68.7 68.5 68.4 68.4 69.1 68.4
20.7 20.5 20.0 19.4 17.2 17.1 17.1 17.1 17.3 17.1
3.11 3.13 3.16 3.14 3.02 3.02 3.02 3.02 3.04 3.02
7.8 7.8 7.6 6.9 4.8 4.8 4.8 4.8 4.7 4.7
3.2 3.3 3.2 3.0 2.2 2.2 2.2 2.2 2.2 2.2
0.95 0.97 0.97 0.93 0.80 0.80 0.80 0.80 0.79 0.79
24.5 24.2 23.4 22.9 20.7 20.7 20.7 20.6 20.5 20.5
5.77 5.68 5.48 5.19 4.06 4.05 4.06 4.04 4.00 4.00
S 8x25.5 S 8x25.25
5522 5547
241 232
68.1 68.6
17.0 17.2
3.03 3.04
4.7 4.8
2.2 2.2
0.80 0.80
20.5 20.7
4.01 4.05
47
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Designation S 8x25.25 S 8x25 S 8x25 S 8x25 S 8x25 S 8x25 S 8x24.3 S 8x23 S 8x23 S 8x23 S 8x23 S 8x23 S 8x23 S 8x23 S 8x22.75 S 8x22.75 S 8x22 S 8x22 S 8x23
Source Reference Number 14 15 3 27 19 19 29 30 23 21 34 35 4 9 11 17 18 22 24 26 32 36 7 8 10 12 13 16 25 37 38 39 20 14 15 1 2 27 33 28 37
Flange Width
Average Flange Thickness Distance
Area
Depth
Web Thickness
Wt. per ft lb 25.25 25.0 25.0 25.0 25.0 25.0 24.3 23.0 23.0 23.0 23.0 23.0 23.0 23.0 22.75 22.75 22.0 22.0 23.0
A
d
tw
bf
tf
T
k
bf /2tf
h/tw
Fy'''
in.2 7.43 7.37 7.35 7.30 7.30 7.30 7.15 6.80 6.79 6.76 6.76 6.76 6.76 6.71 6.79 6.69 6.50 6.40 6.77
in. 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00
in. 0.530 0.510 0.510 0.287 0.507 0.400 0.520 0.454 0.451 0.454 0.449 0.440 0.440 0.441 0.451 0.440 0.270 0.290 0.460
in. 4.260 4.510 4.510 4.537 4.507 4.490 4.260 4.184 4.181 4.184 4.179 4.170 4.170 4.171 4.181 4.170 4.500 4.380 5.470
in. 0.426 0.410 0.410 0.500 0.407 0.500 0.390 0.426 0.426 0.426 0.426 0.425 0.426 0.426 0.426 0.426 0.510 0.500 0.305
in. 6.094 6.136 6.136 5.936 6.122 5.956 6.166 6.094 6.094 6.094 6.094 6.046 6.094 6.094 6.094 6.094 5.916 5.956 6.555
in. 0.953 0.932 0.932 1.032 0.939 1.022 0.917 0.953 0.953 0.953 0.953 0.977 0.953 0.953 0.953 0.953 1.042 1.022 0.722
5.01 5.50 5.50 4.54 5.54 4.49 5.46 4.92 4.91 4.92 4.91 4.91 4.90 4.90 4.91 4.90 4.41 4.38 8.98
11.5 12.0 12.0 20.7 12.1 14.9 11.9 13.4 13.5 13.4 13.6 13.7 13.9 13.8 13.5 13.9 21.9 20.5 14.3
ksi -
21.7 21.2 21.0 20.5 20.5 20.5 20.5 20.5 20.5 20.5 20.25
6.40 6.24 6.18 6.07 6.06 6.03 6.03 6.03 6.03 5.97 6.06
8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00
0.387 0.400 0.380 0.362 0.360 0.362 0.357 0.350 0.340 0.349 0.360
4.387 4.140 5.400 4.092 4.090 4.092 4.087 4.080 4.070 4.079 4.090
0.410 0.390 0.305 0.426 0.426 0.426 0.426 0.426 0.425 0.426 0.426
6.136 6.146 6.555 6.094 6.094 6.094 6.094 6.094 6.046 6.094 6.094
0.932 0.927 0.722 0.953 0.953 0.953 0.953 0.953 0.977 0.953 0.953
5.35 5.31 8.87 4.81 4.81 4.81 4.80 4.79 4.79 4.79 4.81
15.9 15.4 17.3 16.8 16.9 16.8 17.1 17.4 17.8 17.5 16.9
-
20.25 20.0 19.0 18.4
5.96 5.90 5.59 5.41
8.00 8.00 8.00 8.00
0.350 0.320 0.310 0.270
4.080 4.200 5.320 4.000
0.426 0.415 0.305 0.426
6.094 6.136 6.555 6.094
0.953 0.932 0.722 0.953
4.79 5.06 8.74 4.70
17.4 19.2 21.1 22.6
-
18.4 18.0 18.0 18.0 18.0 18.0 18.0 18.0 17.75 17.75 17.5 17.5 17.4 17.23 17.0
5.34 5.34 5.33 5.30 5.30 5.29 5.29 5.20 5.33 5.22 5.15 5.12 5.12 5.07 5.00
8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.00
0.270 0.270 0.270 0.250 0.250 0.270 0.270 0.250 0.270 0.270 0.210 0.220 0.260 0.260 0.240
4.000 4.000 4.000 4.250 4.250 4.000 4.000 4.130 4.000 4.000 4.330 5.000 4.000 4.000 5.250
0.426 0.426 0.426 0.410 0.407 0.425 0.426 0.415 0.426 0.426 0.412 0.349 0.390 0.390 0.305
6.094 6.094 6.094 6.136 6.122 6.046 6.094 6.136 6.094 6.094 6.157 6.660 6.146 6.166 6.555
0.953 0.953 0.953 0.932 0.939 0.977 0.953 0.932 0.953 0.953 0.921 0.670 0.927 0.917 0.722
4.70 4.70 4.70 5.18 5.23 4.71 4.70 4.98 4.70 4.70 5.26 7.17 5.13 5.13 8.62
22.6 22.6 22.6 24.5 24.5 22.4 22.6 24.5 22.6 22.6 29.3 30.3 23.6 23.7 27.3
-
26.67 25.2
7.90 7.40
7.00 7.00
0.557 0.558
4.537 4.556
0.500 0.454
5.023 5.164
0.988 0.918
4.54 5.02
9.0 9.3
-
22.0 22.0 21.33 20.2 20.0 20.0 20.0 20.0 20.0 20.0 20.0 19.0 18.3 18.0 17.9 17.5 17.5 17.5 17.5 17.5 15.5 15.3 15.3 15.25
6.49 6.40 6.41 5.94 5.91 5.90 5.88 5.88 5.87 5.83 5.70 5.63 5.40 5.30 5.29 5.17 5.15 5.15 5.10 5.09 4.60 4.50 4.43 4.50
7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00 7.00
0.354 0.360 0.495 0.480 0.462 0.270 0.458 0.450 0.420 0.450 0.280 0.377 0.268 0.365 0.380 0.356 0.353 0.340 0.340 0.345 0.230 0.250 0.250 0.250
4.334 4.170 4.265 3.990 3.872 4.250 3.868 3.860 4.190 3.860 4.090 4.147 4.266 4.115 3.890 3.766 3.763 3.750 3.980 3.755 4.000 3.660 3.660 4.000
0.500 0.490 0.390 0.360 0.392 0.500 0.392 0.390 0.390 0.392 0.490 0.390 0.454 0.375 0.360 0.392 0.392 0.390 0.385 0.392 0.390 0.392 0.392 0.375
5.023 5.097 5.263 5.313 5.222 5.023 5.222 5.230 5.263 5.222 5.097 5.263 5.164 5.352 5.226 5.222 5.222 5.230 5.317 5.222 5.263 5.222 5.222 5.352
0.988 0.952 0.868 0.843 0.889 0.988 0.889 0.885 0.868 0.889 0.952 0.868 0.918 0.824 0.887 0.889 0.889 0.885 0.842 0.889 0.868 0.889 0.889 0.824
4.33 4.26 5.47 5.54 4.94 4.25 4.93 4.95 5.37 4.92 4.17 5.32 4.70 5.49 5.40 4.80 4.80 4.81 5.17 4.79 5.13 4.67 4.67 5.33
14.2 14.2 10.6 11.1 11.3 18.6 11.4 11.6 12.5 11.6 18.2 14.0 19.3 14.7 13.8 14.7 14.8 15.4 15.6 15.1 22.9 20.9 20.9 21.4
-
Distance
Compact Section Criteria
S 8x21.7 S 8x21.2 S 8x21 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.25 S 8x20.25 S 8x20 S 8x19 S 8x18.4 S 8x18.4 S 8x18 S 8x18 S 8x18 S 8x18 S 8x18 S 8x18 S 8x18 S 8x17.75 S 8x17.75 S 8x17.5 S 8x17.5 S 8x17.4 S 8x17.23 S 8x17
2 31 36 37 23 21 34 35 4 9 11 17 18 22 24 26 36 32 7 10 12 16 25 37 20 14 15 29 36 37 36 7 8 10 12 13 16 18 25 35 37 38 39 21 31 1 2 3 27 33 19 32 34 28 14 20 5 6 31 30 36 37
S 7x26.67 S 7x25.2
21
S 7x22 S 7x22 S 7x21.33 S 7x20.2 S 7x20 S 7x20 S 7x20 S 7x20 S 7x20 S 7x20 S 7x20 S 7x19 S 7x18.3 S 7x18 S 7x17.9 S 7x17.5 S 7x17.5 S 7x17.5 S 7x17.5 S 7x17.5 S 7x15.5 S 7x15.3 S 7x15.3 S 7x15.25
2 23
16
21 24 18 1 2 21 27 30 26 3 5 6 8 10 11 13 19 25 31 32 22 2 16 16 25 18 30 26 23 5 8 10 13 19 31 1 2 21 27 30 32 16
48
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Elastic Properties Axis x-x
Axis y-y
Plastic Modulus
Ix
Sx
r x
Iy
Sy
r y
X1 ksi 5504 5192 5185 4472 5167 4766 5346 4887 4869 4900 4861 4762 4791 4811 4869 4796 4222 4237 4070
X2 x 106 (1/ksi)2 245 298 298 479 302 344 287 363 369 359 371 393 393 386 369 388 472 484 753
Zx
Zy
Designation S 8x25.25 S 8x25 S 8x25 S 8x25 S 8x25 S 8x25 S 8x24.3 S 8x23 S 8x23 S 8x23 S 8x23 S 8x23 S 8x23 S 8x23 S 8x22.75 S 8x22.75 S 8x22 S 8x22 S 8x23
in.4 68.0 68.9 68.8 71.8 68.4 74.4 64.3 64.8 64.6 64.5 64.5 65.2 64.5 64.2 64.6 64.1 71.9 69.7 65.4
in.3 17.0 17.2 17.2 17.9 17.1 18.6 16.1 16.2 16.2 16.1 16.1 16.3 16.1 16.0 16.2 16.0 18.0 17.4 16.4
in. 3.03 3.06 3.06 3.13 3.06 3.20 3.00 3.09 3.08 3.09 3.09 3.10 3.09 3.09 3.08 3.10 3.33 3.30 3.10
in.4 4.7 5.3 5.3 6.7 5.2 6.6 3.8 4.4 4.4 4.4 4.4 4.4 4.4 4.4 4.4 4.4 6.6 6.0 7.1
in.3 2.2 2.4 2.4 2.9 2.3 2.9 1.8 2.1 2.1 2.1 2.1 2.1 2.1 2.1 2.1 2.1 2.9 2.8 2.6
in. 0.80 0.85 0.85 0.95 0.85 0.95 0.73 0.81 0.81 0.81 0.81 0.80 0.81 0.81 0.81 0.81 1.01 0.97 1.02
in.3 20.5 20.6 20.6 20.5 20.4 21.7 19.4 19.3 19.2 19.3 19.2 19.0 19.0 19.0 19.2 19.0 20.4 19.9 19.1
in.3 4.00 4.24 4.24 4.82 4.17 4.90 3.72 3.73 3.72 3.73 3.72 3.68 3.68 3.69 3.72 3.68 4.81 4.53 4.51
S 8x21.7 S 8x21.2 S 8x21 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.5 S 8x20.25
4294 4340 3464 4260 4250 4277 4246 4175 4114 4175 4250
562 573 1321 568 573 560 577 609 637 604 573
63.7 60.3 62.3 60.8 60.7 60.6 60.6 60.6 61.3 60.2 60.7
15.9 15.1 15.6 15.2 15.2 15.1 15.1 15.2 15.3 15.1 15.2
3.15 3.11 3.18 3.17 3.17 3.17 3.17 3.17 3.19 3.18 3.17
4.9 4.0 6.8 4.1 4.1 4.1 4.1 4.0 4.0 4.0 4.1
2.2 1.9 2.5 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.0
0.87 0.80 1.05 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82
18.6 17.5 17.8 17.8 17.8 17.8 17.7 17.6 17.4 17.6 17.8
3.81 3.30 4.27 3.44 3.43 3.44 3.42 3.40 3.37 3.40 3.43
S 8x20.25 S 8x20 S 8x19 S 8x18.4
4206 3951 3020 3770
593 748 2080 832
60.2 59.9 59.2 57.3
15.0 15.0 14.8 14.3
3.18 3.22 3.26 3.25
4.0 4.3 6.5 3.8
2.0 2.1 2.4 1.9
0.82 0.86 1.08 0.84
17.6 17.3 16.7 16.3
3.40 3.48 4.05 3.17
S 8x18.4 S 8x18 S 8x18 S 8x18 S 8x18 S 8x18 S 8x18 S 8x18 S 8x17.75 S 8x17.75 S 8x17.5 S 8x17.5 S 8x17.4 S 8x17.23 S 8x17
3772 3764 3768 3567 3577 3751 3754 3575 3768 3729 3384 2772 3498 3534 2665
821 824 821 987 991 812 821 967 821 821 1119 2497 1126 1104 3065
56.9 56.9 56.9 57.8 57.3 57.4 56.9 56.8 56.9 56.9 58.3 58.4 54.3 53.2 56.0
14.2 14.2 14.2 14.4 14.3 14.3 14.2 14.2 14.2 14.2 14.6 14.6 13.6 13.3 14.0
3.26 3.26 3.27 3.30 3.28 3.29 3.27 3.30 3.27 3.31 3.37 3.38 3.26 3.24 3.35
3.8 3.8 3.8 4.4 4.3 3.7 3.8 4.0 3.8 3.8 4.5 6.2 3.5 3.5 6.2
1.9 1.9 1.9 2.1 2.0 1.9 1.9 1.9 1.9 1.9 2.1 2.5 1.8 1.8 2.4
0.84 0.84 0.84 0.91 0.89 0.84 0.84 0.87 0.84 0.84 0.93 1.10 0.83 0.83 1.11
16.3 16.3 16.3 16.4 16.3 16.3 16.3 16.2 16.3 16.3 16.2 16.2 15.2 15.2 15.6
3.17 3.17 3.17 3.42 3.37 3.17 3.17 3.29 3.17 3.17 3.45 4.03 2.92 2.94 3.87
S 7x26.67 S 7x25.2
6522 6239
109 130
57.9 54.7
16.5 15.6
2.71 2.72
6.9 6.1
3.0 2.7
0.93 0.91
19.7 18.7
5.22 4.81
S 7x22 S 7x22 S 7x21.33 S 7x20.2 S 7x20 S 7x20 S 7x20 S 7x20 S 7x20 S 7x20 S 7x20 S 7x19 S 7x18.3 S 7x18 S 7x17.9 S 7x17.5 S 7x17.5 S 7x17.5 S 7x17.5 S 7x17.5 S 7x15.5 S 7x15.3 S 7x15.3 S 7x15.25
5161 5137 5641 5551 5522 4767 5465 5328 4997 5412 4696 4692 4318 4422 4658 4648 4629 4472 4352 4584 3835 3999 3968 3738
231 250 209 239 230 289 237 258 313 246 314 391 416 474 423 406 412 465 492 426 723 655 655 799
52.1 50.0 46.2 42.0 42.3 49.7 42.2 42.6 44.0 41.9 47.6 42.8 46.4 41.2 39.4 39.3 39.2 39.6 40.1 38.9 38.6 36.5 36.2 37.9
14.9 14.3 13.2 11.9 12.1 14.2 12.1 12.2 12.6 12.0 13.6 12.2 13.3 11.8 11.3 11.2 11.2 11.3 11.5 11.1 11.0 10.4 10.4 10.8
2.83 2.82 2.69 2.64 2.68 2.91 2.68 2.69 2.74 2.68 2.85 2.76 2.93 2.79 2.75 2.76 2.76 2.77 2.79 2.77 2.91 2.85 2.86 2.89
5.9 5.2 4.3 2.9 3.3 5.5 3.2 3.2 4.1 3.1 4.9 3.9 5.0 4.3 3.0 3.0 2.9 2.9 3.4 2.9 3.5 2.7 2.7 3.4
2.7 2.5 2.0 1.5 1.7 2.6 1.7 1.7 1.9 1.6 2.4 1.9 2.4 2.1 1.6 1.6 1.6 1.6 1.7 1.6 1.7 1.5 1.5 1.7
0.95 0.91 0.82 0.70 0.74 0.97 0.74 0.74 0.83 0.74 0.92 0.83 0.96 0.90 0.76 0.76 0.76 0.75 0.82 0.76 0.87 0.77 0.78 0.86
17.2 16.5 15.8 14.3 14.5 16.2 14.4 14.3 14.8 14.3 15.6 14.3 15.1 13.8 13.0 13.2 13.1 12.9 13.4 13.0 12.5 11.9 11.9 12.4
4.49 4.12 3.60 2.98 3.00 4.23 2.98 2.95 3.37 2.96 3.88 3.24 3.86 3.09 2.68 2.70 2.69 2.65 2.93 2.67 2.87 2.45 2.45 2.80
49
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Designation S 7x15 S 7x15 S 7x15 S 7x15 S 7x14.6 S 7x14.6
Source Reference Number 26 29 3 22 25 24
Flange Width
Average Flange Thickness Distance
Area
Depth
Web Thickness
Wt. per ft lb 15.0 15.0 15.0 15.0 14.6 14.6
A
d
tw
bf
tf
T
k
bf /2tf
h/tw
Fy'''
in.2 4.42 4.42 4.40 4.40 4.31 4.26
in. 7.00 7.00 7.00 7.00 7.00 7.00
in. 0.250 0.250 0.210 0.230 0.240 0.240
in. 3.660 3.660 3.980 3.880 3.750 3.750
in. 0.390 0.392 0.390 0.385 0.360 0.360
in. 5.230 5.222 5.263 5.317 5.226 5.313
in. 0.885 0.889 0.868 0.842 0.887 0.843
4.69 4.67 5.10 5.04 5.21 5.21
20.9 20.9 25.1 23.1 21.8 22.1
ksi -
46.1 41.0 41.0 37.4 37.4 32.3 32.3 27.7 23.9 21.67 20.0 20.0 20.0 18.33 18.0 17.5 17.25 17.25 17.25 17.25 16.67 16.6 16.1 16.0
13.56 12.06 12.06 10.99 10.99 9.49 9.49 8.15 7.03 6.44 5.95 5.88 5.70 5.44 5.27 5.00 5.07 5.07 5.07 5.02 4.97 4.90 4.74 4.70
6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00
0.880 0.630 0.630 0.750 0.750 0.500 0.500 0.566 0.380 0.545 0.481 0.456 0.500 0.495 0.475 0.370 0.475 0.460 0.460 0.465 0.300 0.265 0.440 0.260
5.500 5.250 5.250 5.130 5.130 4.880 4.880 4.936 4.750 3.745 3.980 3.821 3.770 3.245 3.745 3.640 3.575 3.560 3.560 3.565 3.500 3.765 3.620 3.625
0.840 0.840 0.840 0.685 0.685 0.685 0.685 0.525 0.525 0.495 0.438 0.465 0.425 0.450 0.375 0.425 0.359 0.360 0.359 0.359 0.495 0.438 0.330 0.465
2.501 2.501 2.501 2.881 2.881 2.881 2.881 3.619 3.619 3.836 4.279 4.210 4.277 3.956 4.390 4.277 4.347 4.343 4.347 4.347 3.836 4.279 4.443 4.210
1.750 1.750 1.750 1.560 1.560 1.560 1.560 1.191 1.191 1.082 0.860 0.895 0.862 1.022 0.805 0.862 0.826 0.828 0.826 0.826 1.082 0.860 0.778 0.895
3.27 3.13 3.13 3.74 3.74 3.56 3.56 4.70 4.52 3.78 4.54 4.11 4.44 3.61 4.99 4.28 4.98 4.94 4.96 4.97 3.54 4.30 5.48 3.90
2.8 4.0 4.0 3.8 3.8 5.8 5.8 6.4 9.5 7.0 8.9 9.2 8.6 8.0 9.2 11.6 9.2 9.4 9.5 9.3 12.8 16.1 10.1 16.2
-
15.5 15.2 15.0 15.0 14.75 14.75 14.75 14.75 13.33 13.0 12.75 12.5
4.51 4.47 4.39 4.40 4.34 4.34 4.34 4.29 3.97 3.80 3.70 3.68
6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00
0.385 0.380 0.328 0.250 0.352 0.340 0.340 0.343 0.250 0.230 0.250 0.230
3.635 3.560 3.598 3.520 3.452 3.440 3.440 3.443 3.000 3.500 3.500 3.330
0.339 0.330 0.375 0.425 0.359 0.360 0.359 0.359 0.450 0.375 0.339 0.359
4.467 4.473 4.390 4.277 4.347 4.343 4.347 4.347 3.956 4.390 4.467 4.347
0.766 0.763 0.805 0.862 0.826 0.828 0.826 0.826 1.022 0.805 0.766 0.826
5.37 5.39 4.80 4.14 4.81 4.78 4.79 4.80 3.33 4.67 5.17 4.64
11.6 11.8 13.4 17.1 12.4 12.8 12.8 12.7 15.8 19.1 17.9 18.9
-
12.5 12.27 12.25 12.25 12.0 11.9 11.6
3.61 3.61 3.61 3.60 3.60 3.51 3.42
6.00 6.00 6.00 6.00 6.00 6.00 6.00
0.230 0.230 0.230 0.230 0.220 0.220 0.220
3.330 3.330 3.330 3.330 3.380 3.400 3.400
0.359 0.360 0.359 0.360 0.335 0.330 0.330
4.347 4.343 4.347 4.343 4.477 4.473 4.443
0.826 0.828 0.826 0.828 0.762 0.763 0.778
4.64 4.63 4.64 4.63 5.04 5.15 5.15
18.9 18.9 18.9 18.9 20.3 20.3 20.2
-
17.33 16.0
5.08 4.84
5.00 5.00
0.516 0.486
3.386 3.236
0.435 0.438
3.377 3.331
0.812 0.835
3.89 3.69
6.5 6.9
-
16.0 15.0 15.0 14.75 14.75 14.75 14.75 14.0 13.0 13.0 13.0 12.5 12.3 12.25 12.25 12.25 12.25 12.0 12.0 10.0 10.0 10.0
4.70 4.48 4.40 4.34 4.34 4.34 4.29 4.18 3.80 3.80 3.78 3.68 3.61 3.60 3.60 3.60 3.56 3.60 3.60 3.00 2.94 2.90
5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00
0.437 0.515 0.380 0.504 0.490 0.490 0.494 0.456 0.260 0.310 0.396 0.400 0.370 0.357 0.340 0.340 0.347 0.338 0.340 0.220 0.210 0.220
3.307 3.295 3.250 3.294 3.280 3.280 3.284 3.236 3.130 3.060 3.020 3.200 3.170 3.147 3.130 3.130 3.137 3.118 3.130 3.000 3.000 2.845
0.435 0.335 0.435 0.327 0.327 0.325 0.327 0.335 0.435 0.438 0.345 0.300 0.300 0.327 0.325 0.327 0.327 0.335 0.325 0.335 0.327 0.345
3.377 3.577 3.377 3.471 3.471 3.477 3.471 3.577 3.377 3.331 3.457 3.573 3.573 3.471 3.477 3.471 3.471 3.577 3.597 3.577 3.471 3.457
0.812 0.712 0.812 0.765 0.765 0.762 0.765 0.712 0.812 0.835 0.772 0.713 0.713 0.765 0.762 0.765 0.765 0.712 0.702 0.712 0.765 0.772
3.80 4.92 3.74 5.04 5.02 5.05 5.03 4.83 3.60 3.49 4.38 5.33 5.28 4.82 4.82 4.79 4.80 4.65 4.82 4.48 4.59 4.12
7.7 6.9 8.9 6.9 7.1 7.1 7.0 7.8 13.0 10.7 8.7 8.9 9.7 9.7 10.2 10.2 10.0 10.6 10.6 16.3 16.5 15.7
-
10.0 9.75
2.87 2.90
5.00 5.00
0.210 0.210
3.000 3.000
0.327 0.325
3.471 3.597
0.765 0.702
4.59 4.62
16.5 17.1
-
Distance
Compact Section Criteria
S 6x46.1 S 6x41 S 6x41 S 6x37.4 S 6x37.4 S 6x32.3 S 6x32.3 S 6x27.7 S 6x23.9 S 6x21.67 S 6x20 S 6x20 S 6x20 S 6x18.33 S 6x18 S 6x17.5 S 6x17.25 S 6x17.25 S 6x17.25 S 6x17.25 S 6x16.67 S 6x16.6 S 6x16.1 S 6x16 S 6x15.5 S 6x15.2 S 6x15 S 6x15 S 6x14.75 S 6x14.75 S 6x14.75 S 6x14.75 S 6x13.33 S 6x13 S 6x12.75 S 6x12.5 S 6x12.5 S 6x12.27 S 6x12.25 S 6x12.25 S 6x12 S 6x11.9 S 6x11.6
24 25 24 25 24 25 24 25 26 26 20 16 2 22 20 3 22 4 7 9 12 14 15 17 19 28 29 25 30 5 6 8 10 11 13 18 31 32 33 20 16 23 1 2 27 16 24 2 21 4 7 9 12 14 15 17 19 28 29 25 30 5 8 10 13 18 31 20 1 2 3 27 16 30 5 6 8 10 11 13 15 18 29 31 32 33 24 4 7 9 12 14 17 19 28 25 21 24 23
S 5x17.33 S 5x16
20
S 5x16 S 5x15 S 5x15 S 5x14.75 S 5x14.75 S 5x14.75 S 5x14.75 S 5x14 S 5x13 S 5x13 S 5x13 S 512.5 S 5x12.3 S 5x12.25 S 5x12.25 S 5x12.25 S 5x12.25 S 5x12 S 5x12 S 5x10 S 5x10 S 5x10
2 3
S 5x10 S 5x9.75
16
22 4 7 9 12 14 17 19 27 28 15 29 25 5 6 8 12 11 13 18 30 31 32 20 1 2 20 21 26 16 16 23 24 4 7 9 12 14 15 17 19 27 28 25 29 5 8 10 13 18 30 2 22 1 2 3 20 26 29 16 5 6 8 10 11 13 15 18 28 30 31 32 21
50
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Elastic Properties Axis x-x
Axis y-y
Plastic Modulus
X2 x 106 (1/ksi)2 684 655 772 775 857 886
Ix
Sx
r x
Iy
Sy
r y
Zx
Zy
Designation S 7x15 S 7x15 S 7x15 S 7x15 S 7x14.6 S 7x14.6
X1 ksi 3902 3963 3714 3757 3718 3709
in.4 36.6 36.2 38.0 37.1 35.4 34.6
in.3 10.5 10.4 10.9 10.6 10.1 9.9
in. 2.88 2.86 2.92 2.89 2.87 2.85
in.4 2.6 2.7 3.4 3.1 2.7 2.7
in.3 1.4 1.5 1.7 1.6 1.4 1.4
in. 0.78 0.78 0.87 0.84 0.79 0.79
in.3 11.8 11.9 12.3 12.1 11.3 11.3
in.3 2.44 2.45 2.83 2.68 2.35 2.38
S 6x46.1 S 6x41 S 6x41 S 6x37.4 S 6x37.4 S 6x32.3 S 6x32.3 S 6x27.7 S 6x23.9 S 6x21.67 S 6x20 S 6x20 S 6x20 S 6x18.33 S 6x18 S 6x17.5 S 6x17.25 S 6x17.25 S 6x17.25 S 6x17.25 S 6x16.67 S 6x16.6 S 6x16.1 S 6x16
13767 11915 11948 11316 11442 9439 9554 7944 6639 7999 6598 6571 6669 7422 6302 5532 6460 6222 6284 6311 6011 5104 5868 5230
5 9 9 12 12 21 21 45 80 50 104 101 99 72 132 186 127 144 142 137 124 248 184 204
68.6 64.1 63.9 57.0 56.3 52.5 51.8 45.5 42.0 33.6 32.1 32.1 30.8 27.8 27.9 28.7 26.2 26.5 26.2 26.0 29.2 28.4 24.7 28.6
22.9 21.4 21.3 19.0 18.8 17.5 17.3 15.1 14.0 11.2 10.7 10.7 10.3 9.3 9.3 9.6 8.7 8.8 8.7 8.7 9.7 9.5 8.2 9.5
2.25 2.30 2.30 2.28 2.26 2.35 2.34 2.36 2.44 2.28 2.32 2.34 2.32 2.26 2.30 2.39 2.27 2.29 2.27 2.28 2.42 2.40 2.28 2.47
21.2 17.9 18.2 13.9 13.8 11.7 11.7 9.0 7.9 3.7 4.1 3.8 3.4 2.1 2.9 3.0 2.4 2.3 2.3 2.3 2.9 3.4 2.0 3.2
7.7 6.8 6.9 5.4 5.4 4.8 4.8 3.6 3.3 2.0 2.1 2.0 1.8 1.3 1.5 1.7 1.3 1.3 1.3 1.3 1.6 1.8 1.1 1.8
1.25 1.22 1.23 1.12 1.12 1.11 1.11 1.05 1.06 0.75 0.83 0.81 0.77 0.63 0.74 0.78 0.68 0.68 0.68 0.68 0.76 0.83 0.65 0.83
27.9 25.6 25.6 22.6 22.6 20.4 20.4 17.6 15.9 13.6 12.8 12.7 12.2 11.3 11.2 11.1 10.5 10.4 10.4 10.4 11.4 10.9 9.9 11.0
12.76 11.22 11.22 9.07 9.07 7.85 7.85 6.20 5.51 3.48 3.51 3.42 3.14 2.43 2.70 2.79 2.39 2.35 2.35 2.36 2.78 2.94 2.24 2.90
S 6x15.5 S 6x15.2 S 6x15 S 6x15 S 6x14.75 S 6x14.75 S 6x14.75 S 6x14.75 S 6x13.33 S 6x13 S 6x12.75 S 6x12.5
5281 5188 4950 4836 5193 5034 5084 5146 5300 4301 3990 4304
258 283 293 290 264 291 287 274 207 446 598 483
24.5 24.0 25.3 26.4 24.0 24.3 24.0 23.8 23.4 23.5 23.1 22.0
8.2 8.0 8.4 8.8 8.0 8.1 8.0 7.9 7.8 7.8 7.7 7.3
2.33 2.32 2.40 2.47 2.35 2.36 2.35 2.36 2.43 2.48 2.49 2.43
2.3 2.1 2.5 2.7 2.1 2.1 2.1 2.1 1.6 2.3 2.2 1.9
1.3 1.2 1.4 1.6 1.2 1.2 1.2 1.2 1.1 1.3 1.3 1.1
0.71 0.69 0.75 0.79 0.69 0.69 0.69 0.69 0.64 0.77 0.77 0.71
9.7 9.4 9.8 10.0 9.4 9.3 9.3 9.3 9.1 9.0 8.5 8.3
2.20 2.08 2.35 2.51 2.10 2.07 2.07 2.08 1.85 2.14 1.93 1.85
S 6x12.5 S 6x12.27 S 6x12.25 S 6x12.25 S 6x12 S 6x11.9 S 6x11.6
4263 4277 4263 4213 3879 3913 3951
483 476 483 489 716 696 660
21.8 21.8 21.8 22.1 21.7 21.1 20.8
7.3 7.3 7.3 7.4 7.3 7.1 6.9
2.46 2.46 2.46 2.48 2.47 2.45 2.46
1.8 1.9 1.9 1.8 1.9 1.8 1.9
1.1 1.1 1.1 1.1 1.1 1.1 1.1
0.72 0.72 0.72 0.71 0.73 0.72 0.73
8.3 8.3 8.3 8.3 8.0 7.9 7.9
1.85 1.86 1.85 1.86 1.80 1.77 1.79
S 5x17.33 S 5x16
8394 8218
41 44
18.4 17.6
7.4 7.0
1.90 1.91
2.6 2.2
1.5 1.4
0.71 0.68
8.9 8.5
2.62 2.38
S 5x16 S 5x15 S 5x15 S 5x14.75 S 5x14.75 S 5x14.75 S 5x14.75 S 5x14 S 5x13 S 5x13 S 5x13 S 512.5 S 5x12.3 S 5x12.25 S 5x12.25 S 5x12.25 S 5x12.25 S 5x12 S 5x12 S 5x10 S 5x10 S 5x10
7524 8034 6969 7926 7715 7698 7858 7214 6020 6365 6741 6369 5952 6122 5798 5926 5972 5808 5766 4764 4711 4460
60 56 76 57 64 65 60 82 119 94 100 129 165 142 170 161 153 171 181 316 327 324
17.5 15.5 16.9 15.2 15.2 15.2 15.0 14.9 15.7 15.7 13.9 13.4 13.3 13.6 13.7 13.6 13.5 13.6 13.5 12.4 12.2 13.5
7.0 6.2 6.8 6.1 6.1 6.1 6.0 5.9 6.3 6.3 5.5 5.4 5.3 5.4 5.5 5.4 5.4 5.5 5.4 5.0 4.9 5.4
1.93 1.86 1.97 1.87 1.87 1.87 1.87 1.88 2.03 2.02 1.91 1.91 1.92 1.94 1.95 1.94 1.95 1.95 1.96 2.05 2.04 2.15
2.4 1.8 2.2 1.7 1.7 1.7 1.7 1.7 2.0 1.8 1.3 1.2 1.4 1.5 1.4 1.4 1.4 1.5 1.4 1.3 1.2 1.4
1.4 1.1 1.4 1.0 1.0 1.0 1.0 1.0 1.3 1.2 0.9 0.8 0.9 0.9 0.9 0.9 0.9 1.0 0.9 0.9 0.8 1.0
0.71 0.63 0.71 0.63 0.62 0.62 0.63 0.63 0.72 0.69 0.59 0.57 0.62 0.63 0.63 0.63 0.63 0.64 0.64 0.66 0.65 0.69
8.4 7.6 8.1 7.4 7.3 7.3 7.3 7.2 7.3 7.4 6.7 6.4 6.3 6.5 6.4 6.4 6.4 6.4 6.4 5.7 5.6 5.6
2.43 1.97 2.30 1.90 1.87 1.86 1.87 1.84 2.06 1.99 1.56 1.58 1.53 1.60 1.57 1.57 1.59 1.62 1.58 1.42 1.37 1.27
S 5x10 S 5x9.75
4752 4557
314 368
12.1 12.1
4.8 4.9
2.05 2.06
1.2 1.3
0.8 0.9
0.65 0.67
5.6 5.5
1.37 1.37
51
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Designation S 5x9.75 S 5x9.75 S 5x9.4 S 5x9.1
Source Reference Number 25 4 7 9 12 14 17 19 24 27 24 23
Area
Depth
A
d
tw
bf
tf
T
k
bf /2tf
h/tw
Fy'''
in.2 2.87 2.87 2.76 2.68
in. 5.00 5.00 5.00 5.00
in. 0.210 0.210 0.200 0.200
in. 3.000 3.000 3.000 3.000
in. 0.325 0.327 0.300 0.300
in. 3.477 3.471 3.573 3.573
in. 0.762 0.765 0.713 0.713
4.62 4.59 5.00 5.00
16.6 16.5 17.9 17.9
ksi -
13.33 13.0 11.46 11.3 10.67 10.5 10.5 10.5 10.5 10.2 10.0 10.0 10.0 10.0 9.5 9.5 9.5 9.5 9.4 9.0 8.5 8.5 8.5 8.5 8.4 8.3
3.81 3.79 3.38 3.33 3.13 3.09 3.09 3.09 3.05 3.00 2.99 2.94 2.94 2.90 2.79 2.79 2.79 2.76 2.76 2.64 2.50 2.50 2.50 2.46 2.46 2.45
4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00
0.480 0.462 0.375 0.440 0.430 0.410 0.400 0.390 0.400 0.280 0.390 0.410 0.240 0.390 0.337 0.320 0.320 0.326 0.375 0.311 0.263 0.250 0.240 0.253 0.320 0.220
2.990 2.972 2.875 2.820 2.950 2.880 2.870 2.860 2.870 2.780 2.810 2.850 2.750 2.690 2.807 2.790 2.790 2.796 2.750 2.736 2.733 2.720 2.710 2.723 2.460 2.600
0.390 0.395 0.375 0.330 0.290 0.293 0.293 0.295 0.293 0.375 0.290 0.282 0.395 0.305 0.293 0.293 0.295 0.293 0.297 0.290 0.293 0.293 0.295 0.293 0.275 0.330
2.547 2.527 2.571 2.533 2.747 2.598 2.598 2.590 2.598 2.571 2.747 2.759 2.527 2.677 2.598 2.598 2.590 2.598 2.675 2.747 2.598 2.598 2.590 2.598 2.774 2.533
0.726 0.736 0.715 0.733 0.626 0.701 0.701 0.705 0.701 0.715 0.626 0.621 0.736 0.662 0.701 0.701 0.705 0.701 0.663 0.626 0.701 0.701 0.705 0.701 0.613 0.733
3.83 3.76 3.83 4.27 5.09 4.91 4.90 4.85 4.90 3.71 4.84 5.06 3.48 4.41 4.79 4.76 4.73 4.77 4.63 4.72 4.66 4.64 4.59 4.65 4.47 3.94
5.3 5.5 6.9 5.8 6.4 6.3 6.5 6.6 6.5 9.2 7.0 6.7 10.5 6.9 7.7 8.1 8.1 8.0 7.1 8.8 9.9 10.4 10.8 10.3 8.7 11.5
-
8.0 7.9
2.39 2.30
4.00 4.00
0.328 0.250
2.328 2.690
0.260 0.282
2.697 2.759
0.652 0.621
4.48 4.78
8.2 11.0
-
7.7 7.5 7.5 7.5 7.5 7.5 7.0 6.85 6.2 6.0 6.0
2.21 2.26 2.21 2.20 2.20 2.20 2.10 2.00 1.82 1.80 1.80
4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00
0.190 0.190 0.190 0.190 0.200 0.200 0.170 0.190 0.160 0.180 0.180
2.660 2.660 2.660 2.660 2.625 2.500 2.590 2.560 2.300 2.190 2.180
0.293 0.293 0.293 0.295 0.290 0.305 0.290 0.297 0.275 0.260 0.260
2.598 2.598 2.598 2.590 2.747 2.677 2.747 2.675 2.774 2.757 2.697
0.701 0.701 0.701 0.705 0.626 0.662 0.626 0.663 0.613 0.622 0.652
4.54 4.54 4.54 4.51 4.53 4.10 4.47 4.31 4.18 4.21 4.19
13.7 13.7 13.7 13.6 13.7 13.4 16.2 14.1 17.3 15.3 15.0
-
6.0 5.8 9.07 9.0 7.5 7.5 7.5 7.5
1.77 1.72 2.67 2.60 2.21 2.21 2.21 2.20
3.50 3.50 3.00 3.00 3.00 3.00 3.00 3.00
0.170 0.170 0.440 0.390 0.366 0.361 0.350 0.340
2.330 2.330 2.620 2.520 2.526 2.521 2.510 2.500
0.260 0.260 0.310 0.360 0.260 0.260 0.260 0.260
2.224 2.224 1.573 1.519 1.724 1.724 1.724 1.724
0.638 0.638 0.713 0.741 0.638 0.638 0.638 0.638
4.48 4.48 4.23 3.50 4.86 4.85 4.83 4.81
13.1 13.1 3.6 3.9 4.7 4.8 4.9 5.1
-
7.5 7.0 7.0 6.93 6.83 6.8 6.5 6.5 6.5 6.5 6.5 6.3 6.0 5.7 5.7 5.5 5.5 5.5 5.3 5.3 5.3 5.2 5.1
2.17 2.00 2.09 2.09 2.01 2.01 1.91 1.91 1.91 1.91 1.88 1.81 1.80 1.68 1.64 1.63 1.62 1.62 1.57 1.56 1.56 1.57 1.50
3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00 3.00
0.349 0.190 0.298 0.320 0.220 0.310 0.268 0.263 0.250 0.240 0.251 0.250 0.200 0.170 0.170 0.170 0.170 0.170 0.156 0.160 0.160 0.156 0.156
2.509 2.320 2.358 2.360 2.400 2.350 2.428 2.423 2.410 2.400 2.411 2.130 2.260 2.330 2.330 2.330 2.330 2.330 2.030 2.200 2.200 2.030 2.030
0.260 0.360 0.285 0.265 0.310 0.265 0.260 0.260 0.260 0.260 0.260 0.282 0.285 0.260 0.260 0.260 0.260 0.260 0.281 0.265 0.265 0.281 0.282
1.724 1.519 1.697 1.774 1.573 1.693 1.724 1.724 1.724 1.724 1.724 1.769 1.697 1.724 1.724 1.724 1.724 1.724 1.738 1.693 1.774 1.738 1.769
0.638 0.741 0.652 0.613 0.713 0.653 0.638 0.638 0.638 0.638 0.638 0.616 0.652 0.638 0.638 0.638 0.638 0.638 0.631 0.653 0.613 0.631 0.616
4.83 3.23 4.14 4.45 3.87 4.43 4.67 4.66 4.63 4.62 4.64 3.78 3.96 4.48 4.48 4.48 4.48 4.48 3.62 4.15 4.15 3.62 3.61
4.9 8.0 5.7 5.5 7.2 5.5 6.4 6.6 6.9 7.2 6.9 7.1 8.5 10.1 10.1 10.1 10.1 10.1 11.1 10.6 11.1 11.1 11.3
-
Wt. per ft lb 9.75 9.75 9.4 9.1
Flange Width
Average Flange Thickness Distance
Web Thickness
Distance
Compact Section Criteria
S 4x13.33 S 4x13.33 S 4x11.46 S 4x11.3 S 4x10.67 S 4x10.5 S 4x10.5 S 4x10.5 S 4x10.5 S 4x10.2 S 4x10 S 4x10 S 4x10 S 4x10 S 4x9.5 S 4x9.5 S 4x9.5 S 4x9.5 S 4x9.4 S 4x9 S 4x8.5 S 4x8.5 S 4x8.5 S 4x8.5 S 4x8.4 S 4x8.3 S 4x8 S 4x7.9 S 4x7.7 S 4x7.5 S 4x7.5 S 4x7.5 S 4x7.5 S 4x7.5 S 4x7 S 4x6.85 S 4x6.2 S 4x6 S 4x6
19 2 15 21 19 4 7 12 14 16 18 25 26 27 23 5 8 10 13 17 28 15 3 15 1 2 19 24 20 4 7 9 12 14 16 18 25 26 27 23 5 6 8 10 11 13 17 28 29 30 15 2 4 7 9 12 14 16 18 25 26 27 23 5 8 10 13 17 28 21 21 2 15 5 6 8 10 11 13 14 17 26 28 29 30 27 4 7 9 12 16 18 22 25 23 1 2 19 20 3 15 21 20 2
S 3.5x6 S 3.5x5.8 S 3x9.07 S 3x9 S 3x7.5 S 3x7.5 S 3x7.5 S 3x7.5
17
S 3x7.5 S 3x7 S 3x7 S 3x6.93 S 3x6.83 S 3x6.8 S 3x6.5 S 3x6.5 S 3x6.5 S 3x6.5 S 3x6.5 S 3x6.3 S 3x6 S 3x5.7 S 3x5.7 S 3x5.5 S 3x5.5 S 3x5.5 S 3x5.3 S 3x5.3 S 3x5.3 S 3x5.2 S 3x5.1
3 4 6 8 9 11 16 17 25 26 13
16 19 13 14 22 23 2 5 7 10 12 15 18 24 21
1 19 19 20 14 22 23 2 5 7 10 12 15 18 24 21 3 6 8 11 16 17 25 13 1 24 26 2 5 7 10 14 15 18 22 21 17 20 19 15 13
52
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Elastic Properties Axis x-x
Axis y-y
Plastic Modulus
X2 x 106 (1/ksi)2 334 314 468 523
Ix
Sx
r x
Iy
Sy
r y
Zx
Zy
Designation S 5x9.75 S 5x9.75 S 5x9.4 S 5x9.1
X1 ksi 4630 4752 4304 4016
in.4 12.1 12.1 11.6 11.3
in.3 4.9 4.8 4.6 4.9
in. 2.05 2.05 2.05 2.06
in.4 1.2 1.2 1.1 1.1
in.3 0.8 0.8 0.8 0.8
in. 0.65 0.65 0.64 0.65
in.3 5.5 5.6 5.2 5.2
in.3 1.36 1.37 1.26 1.26
S 4x13.33 S 4x13.33 S 4x11.46 S 4x11.3 S 4x10.67 S 4x10.5 S 4x10.5 S 4x10.5 S 4x10.5 S 4x10.2 S 4x10 S 4x10 S 4x10 S 4x10 S 4x9.5 S 4x9.5 S 4x9.5 S 4x9.5 S 4x9.4 S 4x9 S 4x8.5 S 4x8.5 S 4x8.5 S 4x8.5 S 4x8.4 S 4x8.3
9470 9407 8032 8923 8279 8074 7908 7998 8081 6900 7653 7849 6961 7792 6979 6740 6980 6992 7369 6420 6055 5909 5840 5894 6644 6108
24 25 44 33 46 49 53 54 50 70 62 55 66 55 80 92 85 82 63 109 128 141 147 138 106 115
9.0 8.9 8.2 7.6 7.1 7.1 7.1 7.1 7.1 7.7 6.9 6.9 7.7 6.8 6.8 6.8 6.7 6.7 6.8 6.5 6.4 6.4 6.3 6.3 5.8 6.4
4.5 4.4 4.1 3.8 3.6 3.6 3.6 3.5 3.5 3.9 3.4 3.4 3.9 3.4 3.4 3.4 3.3 3.3 3.4 3.3 3.2 3.2 3.2 3.2 2.9 3.2
1.54 1.53 1.56 1.51 1.51 1.52 1.52 1.52 1.52 1.42 1.52 1.53 1.62 1.53 1.55 1.56 1.55 1.56 1.57 1.57 1.59 1.60 1.59 1.60 1.53 1.62
1.6 1.6 1.3 0.9 1.0 1.0 1.0 1.0 1.0 1.2 1.0 1.0 1.2 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.8 0.8 0.5 0.8
1.1 1.1 0.9 0.7 0.7 0.7 0.7 0.7 0.7 0.9 0.7 0.7 0.9 0.7 0.7 0.7 0.7 0.7 0.7 0.6 0.6 0.6 0.6 0.6 0.4 0.7
0.65 0.65 0.63 0.52 0.57 0.57 0.57 0.57 0.57 0.55 0.57 0.57 0.65 0.55 0.58 0.58 0.57 0.58 0.57 0.58 0.58 0.58 0.57 0.58 0.46 0.59
5.4 5.4 4.9 4.6 4.4 4.3 4.3 4.3 4.3 4.5 4.2 4.2 4.5 4.1 4.0 4.0 4.0 4.0 4.1 3.8 3.7 3.7 3.7 3.7 3.5 3.8
1.834 1.816 1.566 1.389 1.325 1.254 1.239 1.229 1.239 1.415 1.187 1.195 1.440 1.157 1.147 1.123 1.129 1.131 1.154 1.080 1.049 1.032 1.026 1.036 0.863 1.071
S 4x8 S 4x7.9
7012 5607
93 168
5.4 6.0
2.7 3.0
1.50 1.72
0.5 0.8
0.4 0.6
0.43 0.58
3.2 3.5
0.718 0.979
S 4x7.7 S 4x7.5 S 4x7.5 S 4x7.5 S 4x7.5 S 4x7.5 S 4x7 S 4x6.85 S 4x6.2 S 4x6 S 4x6
5338 5398 5338 5368 5211 5469 5018 5128 4742 4909 4969
188 188 188 182 213 176 241 193 305 302 288
6.0 6.0 6.0 5.9 5.9 5.9 5.7 5.8 4.9 4.6 4.6
3.0 3.0 3.0 3.0 3.0 2.9 2.9 2.9 2.5 2.3 2.3
1.64 1.63 1.64 1.64 1.63 1.63 1.66 1.70 1.65 1.61 1.61
0.8 0.8 0.8 0.8 0.8 0.7 0.7 0.7 0.5 0.4 0.4
0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.4 0.4 0.3
0.59 0.59 0.59 0.58 0.58 0.56 0.59 0.59 0.52 0.47 0.45
3.4 3.4 3.4 3.5 3.4 3.4 3.3 3.4 2.8 2.7 2.7
0.963 0.963 0.963 0.968 0.945 0.912 0.910 0.916 0.692 0.591 0.566
S 3.5x6 S 3.5x5.8 S 3x9.07 S 3x9 S 3x7.5 S 3x7.5 S 3x7.5 S 3x7.5
5380 5304 11675 11153 9818 9711 9480 9254
182 182 11 11 22 23 26 28
3.6 3.6 3.4 3.6 2.9 2.9 2.9 2.9
2.1 2.1 2.3 2.4 1.9 1.9 1.9 1.9
1.43 1.43 1.13 1.17 1.15 1.15 1.14 1.14
0.5 0.5 0.6 0.9 0.6 0.6 0.6 0.6
0.4 0.4 0.5 0.7 0.5 0.5 0.5 0.5
0.51 0.51 0.49 0.57 0.52 0.52 0.52 0.52
2.3 2.3 2.8 2.9 2.4 2.3 2.3 2.3
0.657 0.657 1.108 1.145 0.843 0.837 0.825 0.814
S 3x7.5 S 3x7 S 3x7 S 3x6.93 S 3x6.83 S 3x6.8 S 3x6.5 S 3x6.5 S 3x6.5 S 3x6.5 S 3x6.5 S 3x6.3 S 3x6 S 3x5.7 S 3x5.7 S 3x5.5 S 3x5.5 S 3x5.5 S 3x5.3 S 3x5.3 S 3x5.3 S 3x5.2 S 3x5.1
9373 8331 8755 8860 8112 8657 7796 7716 7512 7361 7468 7840 7321 6416 6339 6320 6301 6694 6505 6460 6405 6505 6734
26 27 32 33 36 33 47 49 54 59 54 47 56 89 89 89 89 78 81 83 89 81 74
2.9 3.1 2.8 2.7 2.9 2.8 2.7 2.7 2.7 2.6 2.7 2.5 2.6 2.5 2.5 2.5 2.5 2.4 2.3 2.4 2.4 2.3 2.3
1.9 2.1 1.9 1.8 2.0 1.8 1.8 1.8 1.8 1.8 1.8 1.7 1.7 1.7 1.7 1.7 1.7 1.6 1.6 1.6 1.6 1.6 1.5
1.15 1.24 1.16 1.15 1.21 1.17 1.19 1.19 1.19 1.17 1.19 1.18 1.21 1.22 1.23 1.23 1.23 1.23 1.22 1.24 1.23 1.22 1.23
0.6 0.7 0.5 0.4 0.6 0.5 0.5 0.5 0.5 0.5 0.5 0.4 0.5 0.5 0.5 0.5 0.5 0.5 0.3 0.4 0.4 0.3 0.4
0.5 0.6 0.5 0.4 0.5 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.3 0.4 0.4 0.3 0.3
0.52 0.56 0.51 0.46 0.53 0.50 0.52 0.52 0.52 0.52 0.52 0.48 0.51 0.52 0.53 0.53 0.53 0.53 0.47 0.51 0.51 0.47 0.47
2.3 2.4 2.3 2.2 2.3 2.2 2.1 2.1 2.1 2.1 2.1 2.0 2.0 1.9 1.9 1.9 1.9 1.9 1.8 1.8 1.8 1.8 1.8
0.824 0.905 0.779 0.742 0.850 0.739 0.741 0.736 0.724 0.715 0.725 0.640 0.685 0.654 0.654 0.654 0.654 0.654 0.556 0.605 0.598 0.556 0.558
53
Table 2.3.1 Dimensions and Primary Properties -- Steel Sections 1887-1952
Designation CB362N CB362 36WF, CB362 36WF, B36a G36 G36 CB362N 36WF, CB362 36WF, B36a CB362 36WF, CB362 36WF, B36a G36 CB362N G36 CB362N CB362 36WF, CB362 36WF, B36a 36WF, CB362 36WF, B36a 36WF, CB362 36WF, B36a CB362N G36 G36
Source Reference Number 10 11 13 1 2 2 10 13 1 11 13 1 2 10 2 10 11 12 3 14 4 12 3 10 2 5
Flange Width
Average Flange Thickness Distance
Area
Depth
Web Thickness
Wt. per ft lb 300.0 300.0 300.0 300.0 300.0 280.0 280.0 280.0 280.0 275.0 260.0 260.0 260.0 260.0 250.0 250.0 250.0 250.0 250.0 245.0 245.0 240.0 240.0 240.0 240.0 231.0
A
d
tw
bf
tf
T
k
bf /2tf
h/tw
Fy'''
in.2 88.23 88.23 88.17 88.17 88.12 82.45 82.34 82.32 82.32 80.87 76.56 76.56 76.50 76.46 73.61 73.54 73.53 73.49 73.49 72.03 72.03 70.60 70.60 70.58 70.55 67.85
in. 36.72 36.85 36.72 36.72 36.72 36.50 36.50 36.50 36.50 36.55 36.24 36.24 36.24 36.24 36.12 36.12 36.24 36.12 36.12 36.06 36.06 36.00 36.00 36.00 36.00 35.88
in. 0.947 0.958 0.945 0.945 0.945 0.890 0.886 0.885 0.885 0.890 0.845 0.845 0.845 0.843 0.820 0.817 0.824 0.815 0.815 0.802 0.802 0.790 0.790 0.790 0.790 0.770
in. 16.657 16.189 16.655 16.655 16.655 16.600 16.596 16.595 16.595 16.121 16.555 16.555 16.555 16.553 16.530 16.527 16.055 16.525 16.525 16.512 16.512 16.500 16.500 16.500 16.500 16.480
in. 1.680 1.716 1.680 1.680 1.680 1.570 1.570 1.570 1.570 1.565 1.440 1.440 1.440 1.440 1.380 1.380 1.412 1.380 1.380 1.350 1.350 1.320 1.320 1.320 1.320 1.260
in. 31.235 31.295 31.195 31.647 30.993 30.993 31.235 31.195 31.647 31.295 31.195 31.647 30.993 31.235 30.993 31.235 31.295 31.195 31.647 31.195 31.647 31.195 31.647 31.235 30.993 30.993
in. 2.743 2.778 2.763 2.537 2.864 2.754 2.633 2.653 2.427 2.628 2.523 2.297 2.624 2.503 2.564 2.443 2.474 2.463 2.237 2.433 2.207 2.403 2.177 2.383 2.504 2.444
4.96 4.72 4.96 4.96 4.96 5.29 5.29 5.29 5.29 5.15 5.75 5.75 5.75 5.75 5.99 5.99 5.69 5.99 5.99 6.12 6.12 6.25 6.25 6.25 6.25 6.54
33.0 32.7 33.0 33.5 32.8 34.8 35.3 35.2 35.8 35.2 36.9 37.5 36.7 37.1 37.8 38.2 38.0 38.3 38.8 38.9 39.5 39.5 40.1 39.5 39.2 40.3
ksi 59 60 59 57 60 53 52 52 50 52 47 46 48 47 45 44 45 44 43 43 41 41 40 41 42 40
230.0 230.0 230.0 230.0
67.73 67.73 67.67 67.65
35.88 35.88 35.88 36.00
0.765 0.765 0.765 0.769
16.475 16.475 16.475 16.000
1.260 1.260 1.260 1.290
31.195 31.647 30.993 31.295
2.343 2.117 2.444 2.353
6.54 6.54 6.54 6.20
40.8 41.4 40.5 40.7
39 38 39 39
230.0 194.0 194.0 192.0 192.0 192.0 190.0 182.0 182.0 176.0 176.0 175.0 173.0 170.0 170.0 167.0 167.0 164.0 160.0 160.0 160.0 158.0 158.0
67.63 57.11 57.11 56.47 56.46 56.45 55.87 53.54 53.54 51.80 51.76 51.47 50.94 49.98 49.98 49.15 49.10 48.10 47.09 47.09 47.06 46.47 46.44
35.88 36.48 36.48 36.65 36.50 36.50 36.52 36.32 36.32 36.25 36.25 36.40 36.25 36.16 36.16 36.12 36.12 36.12 36.00 36.00 36.18 36.00 36.00
0.763 0.770 0.770 0.740 0.745 0.744 0.726 0.725 0.725 0.700 0.698 0.686 0.680 0.680 0.680 0.670 0.668 0.645 0.653 0.653 0.635 0.635 0.635
16.473 12.117 12.117 12.150 12.110 12.109 12.111 12.072 12.072 12.065 12.063 12.096 12.065 12.027 12.027 12.035 12.033 12.030 12.000 12.000 12.045 12.000 12.000
1.260 1.260 1.260 1.257 1.270 1.270 1.272 1.180 1.180 1.145 1.145 1.132 1.137 1.100 1.100 1.080 1.080 1.072 1.020 1.020 1.026 1.020 1.020
31.235 32.235 32.581 32.006 32.107 32.235 32.123 32.235 32.581 32.107 32.235 32.006 32.123 32.235 32.581 32.107 32.235 32.123 32.235 32.581 32.006 32.235 32.107
2.323 2.123 1.950 2.320 2.197 2.133 2.199 2.043 1.870 2.072 2.008 2.195 2.064 1.963 1.790 2.007 1.943 1.999 1.883 1.710 2.089 1.883 1.947
6.54 4.81 4.81 4.83 4.77 4.77 4.76 5.12 5.12 5.27 5.27 5.34 5.31 5.47 5.47 5.57 5.57 5.61 5.88 5.88 5.87 5.88 5.88
40.9 41.9 42.3 43.3 43.1 43.3 44.2 44.5 44.9 45.9 46.2 46.7 47.2 47.4 47.9 47.9 48.3 49.8 49.4 49.9 50.4 50.8 50.6
38 37 36 34 35 34 33 33 32 31 30 30 29 29 28 28 28 26 26 26 25 25 25
155.0 150.0 150.0 150.0 150.0 147.0 147.0 147.0
45.58 44.16 44.16 44.10 44.10 43.24 43.23 43.23
36.00 35.84 35.84 35.88 35.88 35.88 36.00 35.90
0.615 0.625 0.625 0.609 0.610 0.590 0.590 0.583
12.000 11.972 11.972 11.974 11.975 11.975 12.000 11.968
1.012 0.940 0.940 0.960 0.960 0.952 0.935 0.962
32.123 32.581 32.235 32.235 32.107 32.123 32.006 32.123
1.939 1.630 1.803 1.823 1.887 1.879 1.997 1.889
5.93 6.37 6.37 6.24 6.24 6.29 6.42 6.22
52.2 52.1 51.6 52.9 52.6 54.4 54.2 55.1
24 24 24 23 23 22 22 21
76.54 76.47 76.46 76.45 72.19 70.63 70.58 70.57 70.52 70.52 67.85
33.63 33.79 33.75 33.75 33.44 33.50 33.55 33.50 33.50 33.50 33.25
0.875 0.870 0.893 0.890 0.835 0.835 0.810 0.836 0.830 0.830 0.795
15.890 16.150 15.923 15.920 15.850 15.865 16.090 15.866 15.865 15.865 15.810
1.550 1.519 1.525 1.525 1.455 1.400 1.399 1.400 1.400 1.400 1.360
28.274 28.624 28.875 28.444 28.274 28.444 28.624 28.875 29.070 28.655 28.274
2.678 2.581 2.438 2.653 2.583 2.528 2.461 2.313 2.215 2.423 2.488
5.13 5.32 5.22 5.22 5.45 5.67 5.75 5.67 5.67 5.67 5.81
32.3 32.9 32.3 32.0 33.9 34.1 35.3 34.5 35.0 34.5 35.6
62 59 62 63 56 55 52 54 52 54 51
64.83 64.80
33.25 33.12
0.780 0.765
15.810 15.780
1.275 1.295
28.444 28.274
2.403 2.423
6.20 6.09
36.5 37.0
48 47
Distance
Compact Section Criteria
36WF, CB362 36 WF, B36a G36 CB362
13
CB362N 36WF, CB361 36WF, B36 CB361 B36 CB361N B36 36WF, CB361 36WF, B36 B36 CB361N CB361 B36 36WF, CB361 36WF, B36 B36 CB361N B36 36WF, CB361 36WF, B36 CB361 CB361N B36
10 13
1 8 11
1 11 9 10 7 13 1 9 10 11 6 13 1 9 10 6 13 1 11 10 9
B36 36WF, B36 36WF, CB361 CB361N B36 B36 CB361N B36
6
G33 CB332 CB332N G33 G33 G33 CB332 CB332N 33WF 33WF G33
1
3
260.0 260.0 260.0 260.0 245.0 240.0 240.0 240.0 240.0 240.0 230.0
G33 G33
2 3
220.0 220.0
1 13 10 9 5 11 7
8 9 2 1 2 8 9 4 11
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