Horizontally Curved Steel Box Girder Bridge

148 Pages·2005·0.81 MB·English

by  John M. Kulicki

Project No. NCHRP 12-52 COPY NO. _____

AASHTO-LRFD DESIGN EXAMPLE
HORIZONTALLY CURVED STEEL BOX GIRDER BRIDGE

FINAL REPORT

Prepared for
National Cooperative Highway Research Program
Transportation Research Board
National Research Council

John M. Kulicki
Wagdy G. Wassef
Christopher Smith
Kevin Johns
Modjeski and Masters, Inc.
Harrisburg, Pennsylvania

October 2005
ACKNOWLEDGMENT OF SPONSORSHIP

This work was sponsored by the American Association of State Highway and
Transportation Officials, in cooperation with the Federal Highway Administration, and was
conducted in the National Cooperative Highway Research Program which is administered by the
Transportation Research Board of the National Research Council.

DISCLAIMER

This is an uncorrected draft as submitted by the research agency. The opinions and
conclusions expressed or implied in the report are those of the research agency. They are not
necessarily those of the Transportation Research Board, the National Research Council, or the
Federal Highway Administration, the American Association of State Highway and
Transportation Officials, or of the individual states participating in the National Cooperative
Highway Research Program.
Project No. NCHRP 12-52

AASHTO-LRFD DESIGN EXAMPLE
HORIZONTALLY CURVED STEEL BOX GIRDER BRIDGE

FINAL REPORT

Prepared for
National Cooperative Highway Research Program
Transportation Research Board
National Research Council

John M. Kulicki
Wagdy G. Wassef
Christopher Smith
Kevin Johns
Modjeski and Masters, Inc.
Harrisburg, Pennsylvania

October 2005
(This page is intentionally left blank.)
TABLE OF CONTENTS

TABLE OF CONTENTS............................................................................................................iii

LIST OF FIGURES.....................................................................................................................vi

LIST OF TABLES......................................................................................................................vii

PREFACE.....................................................................................................................................ix

OBJECTIVES................................................................................................................................1

DESIGN PARAMETERS.............................................................................................................2

STEEL FRAMING........................................................................................................................3
Girder Depth......................................................................................................................3
Internal and External Bracing..........................................................................................3
Bracing of Tub Flanges.....................................................................................................4
Longitudinal Flange Stiffener...........................................................................................5
Field Section.......................................................................................................................5

ANALYSES....................................................................................................................................6
Loading Combinations......................................................................................................6
Three-Dimensional Finite Element Analyses..................................................................7

LOADS............................................................................................................................................8
Dead Load...........................................................................................................................8
Live Load............................................................................................................................8

LIMIT STATES.............................................................................................................................9
Strength...............................................................................................................................9
Constructibility..................................................................................................................9
Fatigue.................................................................................................................................9
Live Load Deflection........................................................................................................10

DESIGN........................................................................................................................................11
Section Properties............................................................................................................11
Shear Connectors.............................................................................................................11
Flanges..............................................................................................................................11
Webs ................................................................................................................................12
Diaphragms......................................................................................................................12
Sample Calculations........................................................................................................12

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APPENDIX A Girder Field Sections..................................................................................A-1

APPENDIX B Girder Moments, Shears, and Torques at Tenth-Points..........................B-1

APPENDIX C Selected Design Forces and Girder 2 Section Properties.........................C-1

APPENDIX D Sample Calculations...................................................................................D-1
Girder Stress Check Section 1-1 G2 Node 10
Girder Section Proportioning..............................................................................D-3
Girder Stress Check Section 1-1 G2 Node 10
Constructibility - Web........................................................................................D-4
Girder Stress Check Section 1-1 G2 Node 10
Constructibility - Top Flange in Compression...................................................D-6
Girder Stress Check Section 1-1 G2 Node 10
Strength - Ductility Requirement......................................................................D-13
Girder Stress Check Section 5-5 G1 Node 36
Constructibility - Top Flange in Tension..........................................................D-15
Girder Stress Check Section 1-1 G1 Node 9
Constructibility - Top Flange in Compression.................................................D-16
Girder Stress Check Section 1-1 G1 Node 9
Constructibility - Top Flange in Tension..........................................................D-18
Girder Stress Check Section 1-1 G2 Node 10
Fatigue - Bottom Flange...................................................................................D-19
Girder Stress Check Section 1-1 G2 Node 10
Fatigue - Shear Connectors...............................................................................D-20
Girder Stress Check Section 8-8 G2 Node 48
Shear Connectors - Maximum Transverse Spacing..........................................D-23
Girder Stress Check Section 5-5 G2 Node 36
Strength - Bottom Flange..................................................................................D-25
Girder Stress Check Section 5-5 G2 Node 36
Longitudinal Flange Stiffener...........................................................................D-33
Girder Stress Check Section 5-5 G2 Node 36
Design of Internal Diaphragm..........................................................................D-34
Girder Stress Check Section 5-5 G2 Node 36
Design of Bearing Stiffener..............................................................................D-37
Girder Stress Check G2 Span 1 Bay 1
Top Flange Bracing Member Design - Constructibility...................................D-40
Girder Stress Check Section 5-5 G2 Node 36
Transverse Bending Stress................................................................................D-44
Girder Stress Check Section 2-2 G2 Node 20.3
Stresses.............................................................................................................D-49
Girder Stress Check Section 2-2 G2 Node 20.3
Strength - Bottom Flange..................................................................................D-51
Bolted Splice Design Section 2-2 G2 Node 20.3
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Design Action Summary and Section Information...........................................D-54
Bolted Splice Design Section 2-2 G2 Node 20.3
Constructibility - Top Flange............................................................................D-57
Bolted Splice Design Section 2-2 G2 Node 20.3
Constructibility - Bottom Flange......................................................................D-59
Bolted Splice Design Section 2-2 G2 Node 20.3
Strength - Top and Bottom Flange...................................................................D-61
Bolted Splice Design Section 2-2 G2 Node 20.3
Constructibility - Web......................................................................................D-67
Bolted Splice Design Section 2-2 G2 Node 20.3
Strength - Web..................................................................................................D-70
Bolted Splice Design Section 2-2 G2 Node 20.3
Splice Plates......................................................................................................D-74

APPENDIX E Tabulation of Various Stress Checks.........................................................E-1

v
LIST OF FIGURES

Figure 1. Box Girder Bridge Cross Section...................................................................................13
Figure 2. Node Numbers................................................................................................................14
Figure 3. Double-Diagonal Bracing: Lateral Flange Moments (k-ft) and Bracing Forces (kips) Due
to Deck Weight with Overhang Brackets, Inclined Webs..............................................15
Figure 4. Single-Diagonal Bracing: Lateral Flange Moments (k-ft) and Bracing Forces (kips) Due
to Entire Deck Weight with Overhang Brackets, Inclined Webs...................................16
Figure 5. Single-Diagonal Bracing: Lateral Flange Moments (k-ft) and Bracing Forces (kips) Due
to Cast #1 with Overhang Brackets, Inclined Webs.......................................................17

Figure D-1. Overhang Bracket Loading...................................................................................D-81
Figure D-2. Diaphragm and Bearing Stiffener at Pier of Girder 2, Looking Upstation...........D-81
Figure D-3. Composite Box Cross Section, Girder 2...............................................................D-82
Figure D-4. Effective Width of Web Plate, d , with Transverse Stiffener...............................D-82
o
Figure D-5. Bolt Patterns for Top and Bottom Flange.............................................................D-83
Figure D-6. Bolt Pattern for Web.............................................................................................D-84
vi
LIST OF TABLES

Table C-1. Selected Unfactored Moments (k-ft) and Web Fatigue Shears (kips), Girder 2 ......C-3
Table C-2. Shear (kips), Girder 2 Span 1 at Tenth-Points...........................................................C-4
Table C-3. Selected Unfactored Torque (k-ft), Girder 2.............................................................C-5
Table C-4. Top Flange Bracing Forces (kips), Girder 2 Span 1..................................................C-6
Table C-5. Selected Section Properties for Girder 2...................................................................C-7

Table D-1. Strength Limit State at 100 feet from Left Abutment............................................D-85
Table D-2. Constructibility Limit State at 100 feet from Left Abutment.................................D-85
Table D-3. Unfactored Actions.................................................................................................D-86
Table D-4. Tub Cross Section...................................................................................................D-86

Table E-1. Constructibility – Top Flange....................................................................................E-4
Table E-2. Constructibility – Web, Box Girder 2........................................................................E-4
Table E-3. Strength – Bottom Flange, Box Girder 2...................................................................E-5
Table E-4. Maximum Pricipal Stresses – Bottom Flange, Box Girder 2.....................................E-5

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