DESIGN EXAMPLES
Version 13.0
AMERICAN INSTITUTE
OF
STEEL CONSTRUCTION
INC.
PREFACE
The AISC Design Examples CD provides examples on the application of the 2005 AISC Specification for Structural
Steel Buildings (ANSI/AISC 360-05) and the AISC Steel Construction Manual, 13th Edition. The examples found
herein illustrate how the Specification and Manual can be used to determine solutions to common engineering
problems efficiently, and outline the background to many of the tabulated values found in the Manual.
The design examples on this CD do not represent a stand-alone document. They are intended to be used in
conjunction with the Specification, its Commentary, and the Manual.
Part I of these examples is organized to correspond with the organization of the Specification and the Chapters are
referred to by their corresponding letter reference from the Specification.
Part II is devoted primarily to connection examples that draw on the tables from the Manual, recommended design
procedures, and the breadth of the Specification. The chapters of Part II are labeled II-A, II-B, II-C, etc.
Part III addresses aspects of design that are linked to the performance of a building as a whole. This includes
coverage of lateral stability and second order analysis, illustrated through a four-story braced-frame and momentframe
building.
The Design Examples are arranged with LRFD and ASD designs presented side by side, for consistency with the
Manual. Design with ASD and LRFD are based on the same nominal strength for each element so that the only
difference between the approaches is which set of load combinations from ASCE 7 are used for design and whether
the resistance factor for LRFD or the safety factor for ASD should be used.
CONVENTIONS
The following conventions are used throughout these examples:
1. The 2005 AISC Specification for Structural Steel Buildings is referred to as the Specification and the AISC
Steel Construction Manual, 13th Edition, is referred to as the Manual.
2. The source of equations or tabulated values taken from the Specification or Manual is noted along the righthand
edge of the page.
3. When the design process differs between LRFD and ASD, the designs equations are presented side-by-side.
This rarely occurs, except when the resistance factor, φ, and the safety factor, Ω, are applied.
4. The results of design equations are presented to 3 significant figures throughout these calculations.
ACKNOWLEDGEMENTS
The AISC Committee on Manuals and Textbooks gratefully acknowledges the contributions of the primary author,
Charles R. Page, P.E., and the following individuals who assisted in the development of this document:
George Batcha
J. Brown
Jon Dean
Douglas Ferrell
James Fisher
Louis F. Geschwindner, Jr.
Tom Getschman
Andrew Gilmore
Jesse Hamilton
David Hawes
Darren Hayward
Steve Herlache
Richard C. Kaehler
Stanley Lawson
Kregan Liang
Larry S. Muir
Erin Mulcahy
Carie Randle
John Rolfes
David Rutledge
Lee Svanda
Eric Yanovich
TABLE OF CONTENTS
PART I. EXAMPLES BASED ON THE AISC SPECIFICATION
CHAPTER A GENERAL PROVISIONS
CHAPTER B DESIGN REQUIREMENTS
CHAPTER C STABILITY ANALYSIS AND DESIGN
CHAPTER D DESIGN OF MEMBERS FOR TENSION
Example D.1 W-Shape Tension Member ..........................................................................................................D-2
Example D.2 Single-Angle Tension Member ....................................................................................................D-4
Example D.3 WT-Shape Tension Member ........................................................................................................D-6
Example D.4 Rectangular HSS Tension Member .............................................................................................D-8
Example D.5 Round HSS Tension Member ...................................................................................................D-10
Example D.6 Double-Angle Tension Member ................................................................................................D-12
Example D.7 Pin-Connected Tension Member ................................................................................................D-14
Example D.8 Eyebar Tension Member ............................................................................................................D-16
Example D.9 Find Ae of a Plate with Staggered Bolts ......................................................................................D-18
CHAPTER E DESIGN OF MEMBERS FOR COMPRESSION
Example E.1a W-Shape Column Design with Pinned Ends ................................................................................ E-4
Example E.1b W-Shape Column Design with Intermediate Bracing .................................................................. E-6
Example E.1c W-Shape Available Strength Calculation .................................................................................... E-8
Example E.1d W-Shape Available Strength Calculation .................................................................................... E-9
Example E.2 Built-up Column with a Slender Web........................................................................................ E-10
Example E.3 Built-up Column with Slender Flanges ...................................................................................... E-14
Example E.4a W-Shape Compression Member (Moment Frame) .................................................................... E-18
Example E.4b W-Shape Compression Member (Moment Frame) .................................................................... E-21
Example E.5 Double Angle Compression Member without Slender Elements ............................................... E-22
Example E.6 Double Angle Compression Member with Slender Elements .................................................... E-26
Example E.7 Design of a WT Compression Member without Slender Elements ............................................ E-31
Example E.8 Design of a WT Compression Member with Slender Elements ................................................. E-34
Example E.9 Design of a Rectangular HSS Compression Member without Slender Elements ..................... E-37
Example E.10 Design of a Rectangular HSS Compression Member with Slender Elements .......................... E-39
Example E.11 Design of a Pipe Compression Member ..................................................................................... E-42
Example E.12 Built-up I-Shaped Member with Different Flange Sizes ............................................................E-44
CHAPTER F DESIGN OF MEMBERS FOR FLEXURE
Example F.1-1a W-Shape Flexural Member Design in Strong-Axis Bending, Continuously Braced ................... F-6
Example F.1-1b W-Shape Flexural Member Design in Strong-Axis Bending, Continuously Braced ................... F-7
Example F.1-2a W-Shape Flexural Member Design in Strong-Axis Bending, Braced at Third Points ................. F-8
Example F.1-2b W-Shape Flexural Member Design in Strong-Axis Bending, Braced at Third Points ................. F-9
Example F.1-3a W-Shape Flexural Member design in Strong-Axis Bending, Braced at Midspan...................... F-11
Example F.1-3b W-Shape Flexural Member Design in Strong-Axis Bending, Braced at Midspan..................... F-13
Example F.2-1a Compact Channel Flexural Member, Continuously Braced....................................................... F-15
Example F.2-1b Compact Channel Flexural Member, Continuously Braced ....................................................... F-16
Example F.2-2a Compact Channel Flexural Member with Bracing at Ends and Fifth Points ............................. F-17
Example F.2-2b Compact Channel Flexural Member with Bracing at End and Fifth Points ............................... F-18
Example F.3a W-Shape Flexural Member with Noncompact Flanges in Strong-Axis Bending ...................... F-20
Example F.3b W-Shape Flexural Member with Noncompact Flanges in Strong-Axis Bending ...................... F-22
Example F.4 W-shape Flexural Member, Selection by Moment of Inertia for Strong-Axis Bending ............ F-23
Example F.5 I-shaped Flexural Member in Minor-Axis Bending ................................................................... F-25
Example F.6 HSS Flexural Member with Compact Flange ........................................................................... F-27
Example F.7a HSS Flexural Member with Noncompact Flange ..................................................................... F-28
Example F.7b HSS Flexural Member with Noncompact Flanges .................................................................... F-30
Example F.8a HSS Flexural Member with Slender Flanges ............................................................................ F-32
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Example F.8b HSS Flexural Member with Slender Flanges ............................................................................ F-33
Example F.9a Pipe Flexural Member ................................................................................................................ F-35
Example F.9b Pipe Flexural Member ................................................................................................................ F-36
Example F.10 WT Shape Flexural Member ...................................................................................................... F-37
Example F.11 Single Angle Flexural Member .................................................................................................. F-39
Example F.12 Rectangular Bar in Strong-Axis Bending ................................................................................... F-41
Example F.13 Round Bar in Bending ................................................................................................................ F-43
Example F.14 Non-Symmetrical Z-shape in Strong-Axis Bending .................................................................. F-45
CHAPTER G DESIGN OF MEMBERS FOR SHEAR
Example G.1a W-Shape in Strong-Axis Shear ....................................................................................................G-3
Example G.1b W-Shape in Strong-Axis Shear ....................................................................................................G-4
Example G.2a C-Shape in Strong-Axis Shear .....................................................................................................G-5
Example G.2b C-Shape in Strong-Axis Shear .....................................................................................................G-6
Example G.3 Angle in Shear ..............................................................................................................................G-7
Example G.4 Rectangular HSS in Shear ...........................................................................................................G-8
Example G.5 Round HSS in Shear ....................................................................................................................G-9
Example G.6 Doubly-Symmetric Shape in Weak-Axis Shear .........................................................................G-11
Example G.7 Singly-Symmetric Shape in Weak-Axis Shear ..........................................................................G-12
Example G.8a Built-up Plate Girder with Transverse Stiffeners .......................................................................G-13
Example G.8b Built-up Plate Girder with Transverse Stiffeners .......................................................................G-17
CHAPTER H DESIGN OF MEMBERS FOR COMBINED FORCES AND TORSION
Example H.1a W-shape Subjected to Combined Compression and Bending
About Both Axes (braced frame) .................................................................................................H-2
Example H.1b W-shape Column Subjected to Combined Compression and Bending Moment
About Both Axes (braced frame) ..................................................................................................H-3
Example H.2 W-Shape Column Subjected to Combined Compression and Bending Moment
About Both Axes (by Specification Section H2) .........................................................................H-4
Example H.3 W-Shape Subject to Combined Axial Tension and Flexure......................................................... H-6
Example H.4 W-Shape Subject to Combined Axial Compression and Flexure .................................................H-9
Example H.5a Rectangular HSS Torsional Strength ........................................................................................H-12
Example H.5b Round HSS Torsional Strength .................................................................................................H-13
Example H.5c HSS Combined Torsional and Flexural Strength ......................................................................H-14
Example H.6 W-Shape Torsional Strength ......................................................................................................H-17
CHAPTER I DESIGN OF COMPOSITE MEMBERS
Example I.1 Composite Beam Design ............................................................................................................... I-6
Example I.2 Filled Composite Column in Axial Compression ....................................................................... I-10
Example I.3 Encased Composite Column in Axial Compression ................................................................... I-13
Example I.4 Encased Composite Column in Axial Tension ............................................................................ I-17
Example I.5 Filled Composite Column in Axial Tension ............................................................................... I-19
Example I.6 Filled Composite Member Design for Shear ............................................................................... I-20
Example I.7 Combined Axial and Flexural Strength ....................................................................................... I-22
CHAPTER J DESIGN OF CONNECTIONS
Example J.1 Fillet Weld in Longitudinal Shear ................................................................................................. J-2
Example J.2 Fillet Weld Loaded at an Angle .................................................................................................... J-4
Example J.3 Combined Tension and Shear in Bearing Type Connections........................................................ J-6
Example J.4 Slip-Critical Connection with Short Slotted Holes ....................................................................... J-7
Example J.5 Combined Tension and Shear in a Slip-Critical Connection ....................................................... J-10
Example J.6 Bearing Strength of a Pin in a Drilled Hole ................................................................................ J-12
Example J.7 Base Plate Bearing on Concrete ................................................................................................... J-13
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CHAPTER K DESIGN OF HSS AND BOX MEMBER CONNECTIONS
Example K.1 Welded/bolted Wide Tee Connection to an HSS Column ..........................................................K-2
Example K.2 Welded/bolted Narrow Tee Connection to an HSS Column .......................................................K-7
Example K.3 Double Angle Connection to an HSS Column ..........................................................................K-10
Example K.4 Unstiffened Seated Connection to an HSS Column ..................................................................K-12
Example K.5 Stiffened Seated Connection to an HSS Column ......................................................................K-14
Example K.6 Single-Plate Connection to Rectangular HSS Column .............................................................K-18
Example K.7 Through-Plate Connection .........................................................................................................K-21
Example K.8 Transverse Plate Loaded Perpendicular to the HSS Axis on a Rectangular HSS................... K-24
Example K.9 Longitudinal Plate Loaded Perpendicular to the HSS Axis on a Round HSS ........................K-26
Example K.10 HSS Brace Connection to a W-shaped Column..........................................................................K-28
Example K.11 Rectangular HSS Column with a Cap Plate, Supporting a Continuous Beam ..........................K-31
Example K.12 Rectangular HSS Column Base Plate ........................................................................................K-33
Example K.13 Rectangular HSS Strut End Plate ..............................................................................................K-35
PART II. EXAMPLES BASED ON THE AISC STEEL CONSTRUCTION MANUAL
CHAPTER IIA SIMPLE SHEAR CONNECTIONS
Example II.A-1 All-Bolted Double-Angle Connection ...................................................................................... IIA-2
Example II.A-2 Bolted/Welded Double-Angle Connection ............................................................................... IIA-4
Example II.A-3 All-Welded Double-Angle Connection .................................................................................... IIA-6
Example II.A-4 All-Bolted Double-Angle Connection ...................................................................................... IIA-8
Example II.A-5 Bolted/Welded Double-Angle Connection (beam-to-girder web). ......................................... IIA-12
Example II.A-6 Beam End Coped at the Top Flange Only .............................................................................. IIA-14
Example II.A-7 Beam End Coped at the Top and Bottom Flanges. ................................................................. IIA-20
Example II.A-8 All-Bolted Double-Angle Connections (beams-to-girder web) .............................................. IIA-23
Example II.A-9 Offset All-Bolted Double-Angle Connections (beams-to-girder web) ................................... IIA-29
Example II.A-10 Skewed Double Bent-Plate Connection (beam-to-girder web). .............................................. IIA-31
Example II.A-11 Shear End-Plate Connection (beam to girder web). ................................................................ IIA-36
Example II.A-12 All-Bolted Unstiffened Seated Connection (beam-to-column web) ....................................... IIA-38
Example II.A-13 Bolted/Welded Unstiffened Seated Connection (beam-to-column flange) ............................. IIA-41
Example II.A-14 Stiffened Seated Connection (beam-to-column flange) .......................................................... IIA-44
Example II.A-15 Stiffened Seated Connection (beam-to-column web) ............................................................. IIA-47
Example II.A-16 Offset Unstiffened Seated Connection (beam-to-column flange). .......................................... IIA-49
Example II.A-17 Single-Plate Connection (conventional – beam-to-column flange) ........................................ IIA-52
Example II.A-18 Single-Plate Connection (beam-to-girder web) ....................................................................... IIA-54
Example II.A-19 Offset Extended Single-Plate Connection (beam-to-column web) ......................................... IIA-56
Example II.A-20 All-Bolted Single-Plate Shear Splice ...................................................................................... IIA-61
Example II.A-21 Bolted/Welded Single-Plate Shear Splice ............................................................................... IIA-65
Example II.A-22 Bolted Bracket Plate Design ................................................................................................... IIA-69
Example II.A-23 Welded Bracket Plate Design.................................................................................................. IIA-73
Example II.A-24 Eccentrically-Loaded Bolt Group (IC method) ....................................................................... IIA-76
Example II.A-25 Eccentrically Loaded Bolt Group (elastic method)................................................................. IIA-78
Example II.A-26 Eccentrically-Loaded Weld Group (IC method) ..................................................................... IIA-80
Example II.A-27 Eccentrically-Loaded Weld Group (elastic method) ............................................................... IIA-82
Example II.A-28 All-Bolted Single-Angle Connection (beam-to-girder web)................................................... IIA-84
Example II.A-29 Bolted/Welded Single-Angle Connection (beam-to-column flange). ..................................... IIA-88
Example II.A-30 All-Bolted Tee Connection (beam-to-column flange) ............................................................ IIA-90
Example II.A-31 Bolted/Welded Tee Connection (beam-to-column flange) ..................................................... IIA-96
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CHAPTER IIB FULLY RESTRAINED (FR) MOMENT CONNECTIONS
Example II.B-1 Bolted Flange-Plate FR Moment Connection (beam-to-column flange) ................................. IIB-2
Example II.B-2 Welded Flange-Plated FR Moment Connection (beam-to-column flange) ............................ IIB-10
Example II.B-3 Directly-Welded Flange FR Moment Connection (beam-to-column flange). ....................... IIB-17
Example II.B-4 Four-Bolt Unstiffened Extended End-Plate
FR Moment Connection (beam-to-column flange) ................................................................ IIB-21
CHAPTER IIC BRACING AND TRUSS CONNECTIONS
Example II.C-1 Truss Support Connection Design ........................................................................................... IIC-2
Example II.C-2 Bracing Connection ............................................................................................................... IIC-11
Example II.C-3 Bracing Connection ............................................................................................................... IIC-34
Example II.C-4 Truss Support Connection Design ......................................................................................... IIC-41
Example II.C-5 HSS Chevron Brace Connection ........................................................................................... IIC-46
Example II.C-6 Heavy Wide Flange Compression Connection (flanges on the outside) ................................ IIC-51
CHAPTER IID MISCELLANEOUS CONNECTIONS
Example II.D-1 Prying Action in Tees and in Single Angles ............................................................................ IID-2
Example II.D-2 Beam Bearing Plate ................................................................................................................. IID-7
Example II.D-3 Slip-Critical Connection with Oversized Holes
(Designed for Slip as a Serviceability Limit State) ................................................................ IID-12
PART III. SYSTEM DESIGN EXAMPLES
DESIGN OF SELECTED MEMBERS AND LATERAL ANALYSIS OF A 4 STORY BUILDING
General description of the building including geometry, gravity loads, and lateral loads .......................................III-3
Roof member design and selection ..........................................................................................................................III-6
Floor member design and selection .......................................................................................................................III-13
Column design and selection for gravity loads...................................................................................................... III-29
Wind load determination ......................................................................................................................................III-38
Seismic load determination ...................................................................................................................................III-41
Determination of Required Strength including Second-Order Effects ..................................................................III-53
APPENDIX A. CROSS-REFERENCE LIST FOR THE 2005 AISC SPECIFICATION
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