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Final Report NM05STR-03 MARCH 2009 NEW MEXICO DEPARTMENT OF TRANSPORTATION R RESEARCH B BUREAU Innovation in Transportation Monitoring of an Interstate-25 High Performance Concrete Bridge with an Embedded Optical Fiber Sensor System Prepared by: New Mexico State University Las Cruces, NM Prepared for: The US Department of Transportation Federal Highway Administration In Cooperation with: New Mexico Department of Transportation Research Bureau Albuquerque, NM

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  • Final Report NM05STR-03

    MARCH 2009

    NEW MEXICO DEPARTMENT OF TRANSPORTATION

    RREESSEEAARRCCHH BBUURREEAAUU

    Innovation in Transportation Monitoring of an Interstate-25 High Performance Concrete Bridge with an Embedded Optical Fiber Sensor System Prepared by: New Mexico State University Las Cruces, NM Prepared for: The US Department of Transportation Federal Highway Administration

    In Cooperation with: New Mexico Department of Transportation Research Bureau Albuquerque, NM

  • 1. Report No. NM DOT CO4733

    2. Government Accession No. 3. Recipient’s Catalog No. 5. Report Date March, 2009

    4. Title and Subtitle Monitoring Of An Interstate-25 High Performance Concrete Bridge With An Embedded Optical Fiber Sensor System 6. Performing Organization Code.

    7. Author(s) Rola Idriss, Zhiyong Liang.

    8. Performing Organization Report No. NMSU 032009 10. Work Unit No. (TRAIS)

    9. Performing Organization Name and Address

    New Mexico State University Civil Engineering Dept. Box 30001, MSC 3CE Las Cruces, NM 88003-8001

    11. Contract or Grant No. CO4733

    13. Type of Report and Period Covered FINAL REPORT

    12. Sponsoring Agency Name and Address NMDOT Research Bureau 7500B Pan American Freeway PO Box 94690 Albuquerque, NM 87199-4690

    14. Sponsoring Agency Code

    15. Supplementary Notes 16. Abstract. The I-25/Dona Ana Interchange in Las Cruces NM is a simple span, high performance concrete (HPC) prestressed girder bridge. The girders are six prestressed, BT-63 HPC girders with a span length of 112.5 ft (34.2 m). The bridge was monitored from fabrication through service with an embedded optical fiber sensor system. Thirty two Fiber Bragg Grating (FBG) optical fiber deformation sensors were installed in the beams during fabrication. The strands were 6/10 inch ( 1.5 cm ) low relaxation strands and the concrete had a design compressive strength of 8 ksi (55.2 MPa) at release and 9.5 ksi (66.5 MPa) at 28 days. The bridge was monitored for two years, from transfer of the prestressing force through service. Several topics that are studied in this project: prestress losses, camber, shear and moment girder distribution factors, impact factor, in-situ material properties and serviceability under traffic loads. The results from sensor measurements were compared to the values predicted by the AASTHO codes and other design codes or empirical equations, to check the accuracy of these codes when applied to HPC girder bridges. The project was funded by the FHWA and New Mexico DOT under the FHWA Innovative Bridge Research and Construction Program. 17. Key Words Bridge, High performance Concrete, Optical Fiber, Smart Bridge, Sensors, Monitoring, Prestress Loss, Camber, Girder Distribution Factors, serviceability.

    18. Distribution Statement Available from NMDOT Research Bureau

    19. Security Classi. (of this report) Unclassified

    20. Security Classif. (of this page) Unclassified

    21. No. of Pages 223

    22. Price

  • MONITORING OF AN INTERSTATE-25 HIGH PERFORMANCE CONCRETE BRIDGE WITH AN EMBEDDED OPTICAL FIBER SENSOR

    SYSTEM

    by

    Rola L. Idriss Professor

    New Mexico State University

    Zhiyong Liang Graduate Student

    New Mexico State University

    A Report on Research Sponsored by

    The U.S. Department of Transportation Federal Highway Administration

    in Cooperation with

    New Mexico Department of Transportation

    Research Bureau

    March 2009

    NMDOT Research Bureau 7500B Pan American Freeway NE

    PO Box 94690 Albuquerque, NM 87199-4690

    (505) 841-9145

    © New Mexico Department of Transportation

  • i

    NOTICE

    DISCLAIMER

    This report presents the results of research conducted by the author(s) and does not necessarily reflect the views of the New Mexico Department of Transportation. This report does not constitute a standard or specification.

    The United States Government and the State of New Mexico do not endorse products or manufacturers. Trade or manufacturers’ names appear herein solely because they are considered essential to the objective of this report. This information is available in alternative accessible formats. To obtain an alternative format, contact the NMDOT Research Bureau, 7500B Pan American Freeway NE, Albuquerque, NM 87109 (PO Box 94690) Albuquerque,

  • ii

    PREFACE

    The I-25/Dona Ana Interchange in Las Cruces NM is a simple span, high

    performance prestressed concrete (HPC) girder bridge. The girders are six

    prestressed, BT-63 HPC girders with a span length of 112.5 ft (34.2 m). The bridge

    was monitored from fabrication through service with an embedded optical fiber

    sensor system. Thirty two Fiber Bragg Grating (FBG) optical fiber deformation

    sensors were installed in the beams during fabrication. The strands were 6/10 inch

    ( 1.5 cm ) low relaxation strands and the concrete had a design compressive strength

    of 8 ksi (55.2 MPa) at release and 9.5 ksi (66.5 MPa) at 28 days. The bridge was

    monitored for two years, from transfer of the prestressing force through service.

    Several topics that are studied in this project: prestress losses, camber, shear and

    moment girder distribution factors, impact factor, in-situ material properties and

    serviceability under traffic loads. The results from sensor measurements were

    compared to the values predicted by the AASTHO codes and other design codes or

    empirical equations, to check the accuracy of these codes when applied to HPC girder

    bridges. The project was funded by the FHWA and New Mexico DOT under the

    FHWA Innovative Bridge Research and Construction Program.

  • iii

    TABLE OF CONTENTS

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

    LIST OF FIGURES ........................................................................................................... ix

    CHAPTER 1 INTRODUCTION AND PREVIOUS RESEARCH .............................. 1

    1.1 Research Objectives ............................................................................................ 1

    1.2 Previous Research on Load Distribution Factors ................................................ 4

    1.3 Previous Research on Prestress Losses of HPC .................................................. 9

    1.4 Previous Research on Cambers of HPC Bridge Girder..................................... 14

    1.5 Previous Research on Modulus of Elasticity of HPC........................................ 18

    CHAPTER 2 BRIDGE DESCRIPTION..................................................................... 24

    2.1 Overview ........................................................................................................... 24

    2.2 Design Data ....................................................................................................... 25

    2.3 Girders Details................................................................................................... 26

    CHAPTER 3 MONITORING SYSTEM AND EQUIPMENT .................................. 28

    3.1 MuST System .................................................................................................... 28

    3.2 Sensor Labeling ................................................................................................. 30

    3.3 Installation and Other Field Work ..................................................................... 32

    CHAPTER 4 DISTRIBUTION FACTORS................................................................ 50

    4.1 Overview ........................................................................................................... 50

    4.2 Empirical Equations .......................................................................................... 50

    4.2.1 AASHTO Standard Specifications ............................................................... 50

    4.2.2 AASHTO LRFD Bridge Specifications........................................................ 52

    4.2.3 Empirical Equation Results......................................................................... 56

    4.3 Finite Element Model ........................................................................................ 57

    4.3.1 Sap 2000 ...................................................................................................... 57

    4.3.2 Model Description....................................................................................... 58

    4.3.3 Method to Calculate GDF Based on Finite Element Results...................... 59

  • iv

    4.3.4 Finite Element Results................................................................................. 62

    4.4 Field Test Using Optical Sensor System ........................................................... 63

    4.4.1 Methodology for Calculation of Moment GDF Based on Sensor

    Measurements....................................................................................................... 63

    4.4.2 Methodology for Calculation of Shear GDF Based on Sensor Measurements

    .............................................................................................................................. 66

    4.4.3 Truck Test .................................................................................................... 70

    4.4.4 Static Truck Test Results ............................................................................. 74

    4.5 Comparison and Conclusions on GDF .............................................................. 75

    4.5.1 Comparison of Load Test to Finite Element Results................................... 75

    4.5.2 Comparison of Load Test Results to AASHTO Codes................................. 82

    4.5.3 Comparison of FEM Results to AASHTO Codes ........................................ 86

    CHAPTER 5 PRESTRESS LOSSES ......................................................................... 97

    5.1 Code methods and empirical equations ............................................................. 98

    5.1.1 PCI General Method ................................................................................... 99

    5.1.2 ACI-ASCE Method .................................................................................... 106

    5.1.3 AASHTO LRFD Method............................................................................ 110

    5.1.4 AASHTO LRFD Lump Sum Method.......................................................... 112

    5.1.5 NCHRP Detailed Method.......................................................................... 113

    5.1.6 NCHRP Approximate Method ................................................................... 120

    5.1.7 Summary of the Results ............................................................................. 121

    5.2 Field Test Using Optical Sensor System ......................................................... 124

    5.2.1 Prestress Loss Calculation Based on Sensor Measurements.................... 124

    5.2.2 Prestress Losses Result from Sensor Measurements................................. 126

    5.3 Prestress Losses: Measured vs. Estimated....................................................... 129

    CHAPTER 6 CAMBERS ......................................................................................... 132

    6.1 PCI Method for Camber Calculation............................................................... 133

    6.2 Camber Based on Sensor Measurements......................................................... 134

    6.2.1 Principles to Calculate Cambers Based on Sensor Measurements .......... 134

    6.2.2 Sensor Measurement Results..................................................................... 140

  • v

    6.3 Comparison and Conclusions on Cambers...................................................... 144

    CHAPTER 7 MODULUS OF ELASTICITY........................................................... 147

    7.1 Code Methods and Empirical Equations ......................................................... 147

    7.2 Modulus of elasticity based on sensor measurements ..................................... 149

    7.2.1 Methodology to Obtain Modulus of Elasticity Using Sensor Measurements

    ............................................................................................................................ 149

    7.2.2 Sensor Measurement Results..................................................................... 151

    7.2.3 Laboratory Test Result .............................................................................. 154

    7.3 Comparison and Conclusions on Modulus of Elasticity ................................. 159

    CHAPTER 8 DYNAMIC TEST WITH CALIBRATION TRUCK............................... 162

    8.1 Test Truck........................................................................................................ 162

    8.2 Test Plan .......................................................................................................... 163

    8.3 Impact Factors ................................................................................................. 166

    8.3.1 AASHTO LRFD and Standard Specifications ........................................... 166

    8.3.2 Impact Factor from Sensor Measurements ............................................... 167

    8.3.3 Comparison and Discussion on Impact Factor......................................... 169

    8.4 Girder Distribution Factor ............................................................................... 171

    8.4.1 Introduction ............................................................................................... 171

    8.4.2 GDF from Sensor Measurements .............................................................. 172

    8.4.3 Comparison and Discussion...................................................................... 179

    8.5 Deflection under Dynamic Load ..................................................................... 179

    CHAPTER 9 DYNAMIC TEST UNDER REGULAR TRAFFIC................................. 183

    9.1 Data Filtration.................................................................................................. 183

    9.2 Impact Factor................................................................................................... 185

    9.3 Girder Distribution Factors.............................................................................. 187

    CHAPTER 10 SERVICEABILITY AND LOAD RATING.......................................... 190

    10.1 Stress Limit.................................................................................................... 190

    10.1.1 Stress Limits by AASHTO Codes............................................................. 190

    10.1.2 Stresses from Sensor Measurements ....................................................... 191

    10.1.3 Measured Stresses vs. the AASHTO Limits ............................................. 193

  • vi

    10.2 Moment and Shear Capacity.......................................................................... 195

    10.2.1 Moment Capacity by AASHTO Codes..................................................... 195

    10.2.2 Shear Capacity by the AASHTO Codes................................................... 197

    10.2.3 Moment and Shear from Sensor Measurements...................................... 202

    10.2.4 Check the Moment and Shear Capacity by the AASHTO Codes............. 205

    10.3 Deflection under Live Load........................................................................... 206

    10.3.1 AASHTO Live Load Deflection Limits .................................................... 206

    10.3.2 Deflection Obtained from Sensor Measurements.................................... 207

    10.4 Bridge Load Rating ....................................................................................... 209

    10.4.1 Introduction ............................................................................................. 209

    10.4.2 Load Rating Procedures.......................................................................... 209

    10.4.3 Results and Discussion............................................................................ 212

    CHAPTER 11 CONCLUSIONS .................................................................................... 215

    11.1 Prestress Losses ............................................................................................. 215

    11.2 Camber........................................................................................................... 216

    11.3 Girder Distribution Factors and Impact Factors ............................................ 216

    11.4 Modulus of elasticity ..................................................................................... 218

    11.5 Serviceability ................................................................................................. 218

    11.6 Future Research Recommendations.......................................................... 219

    REFERENCE.................................................................................................................. 221

  • vii

    LIST OF TABLES

    Table 1.1 Previous research summary on girder distribution factor................................... 9

    Table 1.2 Previous research summary on prestress loss ................................................... 13

    Table 1.3 Previous research summary on cambers of HPC girders.................................. 19

    Table 1.4 Previous research summary on the modulus of elasticity of HPC.................... 23

    Table 3.2 Sensor location in girder A, B, and C (1 inch = 25.4 mm) .............................. 37

    Table 3.3 Camber after transfer on girder A, B, and C..................................................... 40

    Table 3.4 Sensor location in girder D, E, and F (1 inch = 25.4 mm)................................ 42

    Table 3.5 Camber after transfer on girder D, E, and F ..................................................... 43

    Table 3.6 Camber during storage by laser level. Unit: inch (mm) ................................... 44

    Table 4.1 AASHTO Distribution Factors Results ........................................................... 57

    Table 5.1 Creep factors for various volume to surface ratios ........................................ 101

    Table 5.2 Creep factors for various ages of prestress and periods of cure .................... 102

    Table 5.3 Variation of creep with time after prestress transfer...................................... 103

    Table 5.4 Shrinkage factors for various volume to surface ratios. ................................. 104

    Table 5.5 Shrinkage coefficients for various curing times ............................................. 105

    Table 5.6 Values of C .................................................................................................... 109

    Table 5.7 Summary of prestress losses estimated by all methods. Unit: ksi(MPa) ........ 123

    Table 5.8 Prestress losses at transfer. Unit: ksi(MPa) .................................................... 128

    Table 6.1 Summary of cambers at different stages......................................................... 141

  • viii

    Table 7.1 Modulus of elasticity at transfer based on sensor measurement for the first

    pour ................................................................................................................................. 152

    Table 7.2 Modulus of elasticity at transfer based on sensor measurement for the

    second pour ..................................................................................................................... 153

    Table 7.3 Cylinder test results for the first pour at transfer ............................................ 156

    Table 7.4 Cylinder test results for the second pour at transfer ....................................... 157

    Table 7.5 Cylinder test results at 28 days ....................................................................... 158

    Table 7.6 Modulus of elasticity at transfer ..................................................................... 160

    Table 7.7 Modulus of elasticity at Deck Pour................................................................. 161

    Table 8.1 Truck positions for the dynamic test (ft). 1ft = 0.305 m............................... 164

    Table 8.2 Impact factor when the truck moved through the left driving lane ................ 168

    Table 8.3 Impact factor when the truck moved through the right driving lane .............. 169

    Table 10.1 Stress limits from AASHTO codes............................................................... 191

    Table 10.2 Bridge Load Rating Factors.......................................................................... 213

  • ix

    LIST OF FIGURES

    Figure 2.1 Bridge Profile ........................................................................................... 24

    Figure 2.2 Bridge Cross-section ................................................................................ 25

    Figure 2.3 Details of BT-63 Girders (1 inch = 25.4 mm).......................................... 27

    Figure 3.1 Layout of all sensors, cables and connection boxes ................................. 29

    Figure 3.2 FBG deformation sensor........................................................................... 29

    Figure 3.3 Sensor labeling ......................................................................................... 32

    Figure 3.4 Fabrication bed layout for the first week................................................... 33

    Figure 3.5 Fabrication bed layout for the second week .............................................. 33

    Figure 3.6 Fabrication bed .......................................................................................... 34

    Figure 3.7 Sensor in the top flange ............................................................................. 35

    Figure3.8 Sensor in the bottom................................................................................... 36

    Figure 3.9 Crossed sensors ......................................................................................... 36

    Figure 3.10 Cable outlet.............................................................................................. 38

    Figure 3.11 Girders on the fabrication bed ................................................................. 39

    Figure 3.12 Connection boxes .................................................................................... 41

    Figure 3.13 Camber measurements using a laser level............................................... 43

    Figure 3.14 Girders transported to the bridge site ...................................................... 45

    Figure 3.15 Cross-section view of girders on the abutment ....................................... 46

    Figure 3.16 Final installation of connection boxes and extension cables................... 46

    Figure 3.17 Conduit for the extension cables ............................................................. 47

    Figure 3.18 Central cabinet......................................................................................... 48

  • x

    Figure 3.19 Deck pouring ........................................................................................... 49

    Figure 4.1 Notional model for applying lever rule to the study bridge. ..................... 52

    Figure 4.2 Truck placement for the finite element ..................................................... 59

    Figure 4.3 Moment distribution factor by FEM method for the test truck ................ 62

    Figure 4.4 Shear distribution factor by FEM method for the test truck..................... 63

    Figure 4.5 Schematic representation of a cell equipped with parallel topology........ 64

    Figure 4.6 Sensors in cross topology ........................................................................ 67

    Figure 4.7 Dimensions of vehicle used for testing ..................................................... 70

    Figure 4.8 Test truck position at midspan and abutment ............................................ 71

    Figure 4.9 Moment distribution factors obtained from sensor measurements............ 74

    Figure 4.10 Moment distribution factors obtained from sensor measurements.......... 75

    Figure 4.11 Comparison of moment GDFs from FEM and field test for girder A..... 76

    Figure 4.12 Comparison of moment GDFs from FEM and field test for girder B..... 76

    Figure 4.13 Comparison of moment GDFs from FEM and field test for girder C..... 77

    Figure 4.14 Comparison of moment GDFs from FEM and field test for girder D..... 77

    Figure 4.15 Comparison of moment GDFs from FEM and field test for girder E ..... 78

    Figure 4.16 Comparison of moment GDFs from FEM and field test for girder F ..... 78

    Figure 4.17 Comparison of shear GDFs from FEM and field test for girder A ......... 79

    Figure 4.18 Comparison of shear GDFs from FEM and field test for girder B.......... 80

    Figure 4.19 Comparison of shear GDFs from FEM and field test for girder C.......... 80

    Figure 4.20 Comparison of shear GDFs from FEM and field test for girder D ......... 81

    Figure 4.21 Comparison of shear GDFs from FEM and field test for girder E.......... 81

  • xi

    Figure 4.22 Comparison of shear GDFs from FEM and field test for girder F .......... 82

    Figure 4.23 Comparison of measured moment GDFs for interior girders to AASHTO codes................................................................................................................... 83

    Figure 4.24 Comparison of measured moment GDFs for exterior girders to AASHTO

    codes................................................................................................................... 84 Figure 4.25 Comparison of measured shear GDFs for interior girders to AASHTO

    codes................................................................................................................... 85 Figure 4.26 Comparison of measured shear GDFs for exterior girders to AASHTO

    codes................................................................................................................... 85 Figure 4.27 Moment GDF from FEM and AASHTO codes for interior girders (1

    truck) .................................................................................................................. 87 Figure 4.28 Moment GDF from FEM and AASHTO codes for interior girders (2

    trucks)................................................................................................................. 87 Figure 4.29 Moment GDF from FEM and AASHTO codes for interior girders (3

    trucks)................................................................................................................. 88 Figure 4.30 Moment GDF from FEM and AASHTO codes for interior girders (4

    trucks)................................................................................................................. 88 Figure 4.31 Moment GDF from FEM and AASHTO codes for exterior girders (1

    truck) .................................................................................................................. 89 Figure 4.32 Moment GDF from FEM and AASHTO codes for exterior girders (2

    trucks)................................................................................................................. 90 Figure 4.33 Moment GDF from FEM and AASHTO codes for exterior girders (3

    trucks)................................................................................................................. 90 Figure 4.34 Moment GDF from FEM and AASHTO codes for exterior girders (4

    trucks)................................................................................................................. 91 Figure 4.35 Shear GDF from FEM and AASHTO codes for interior girders (1 truck)

    ............................................................................................................................ 92 Figure 4.36 Shear GDF from FEM and AASHTO codes for interior girders (2 trucks)

    ............................................................................................................................ 92

  • xii

    Figure 4.37 Shear GDF from FEM and AASHTO codes for interior girders (3 trucks)............................................................................................................................ 93

    Figure 4.38 Shear GDF from FEM and AASHTO codes for interior girders (4 trucks)

    ............................................................................................................................ 93 Figure 4.39 Shear GDF from FEM and AASHTO codes for exterior girders (1 truck)

    ............................................................................................................................ 94 Figure 4.40 Shear GDF from FEM and AASHTO codes for exterior girders (2 trucks)

    ............................................................................................................................ 95 Figure 4.41 Shear GDF from FEM and AASHTO codes for exterior girders (3 trucks)

    ............................................................................................................................ 95 Figure 4.42 Shear GDF from FEM and AASHTO codes for exterior girders (4 trucks)

    ............................................................................................................................ 96 Figure 5.1 Total prestress losses using the PCI General method.............................. 122

    Figure 5.2 Comparison of total prestress losses by all methods ............................... 123

    Figure 5.3 Prestress vs. time measured by various sensors for girders A, B, C ....... 126

    Figure 5.4 Prestress vs. time measured by various sensors for girders D, E, F ........ 127

    Figure 5.5 Prestress losses at transfer ....................................................................... 128

    Figure 5.6 Prestress losses PCI method vs. measured .............................................. 130

    Figure 5.7 Comparison of the final prestress losses ................................................. 131

    Figure 6.1 Schematic Representation of a Cell Equipped with Parallel Topology .. 135

    Figure 6.2 Curvature function based on cell measurement....................................... 138

    Figure 6.3 Camber history of girder C...................................................................... 142

    Figure 6.4 Camber history of girder D...................................................................... 142

    Figure 6.5 Camber history of girder D...................................................................... 143

    Figure 6.6 Camber history of girder F ...................................................................... 143

  • xiii

    Figure 6.7 Camber sensor measurements vs. laser ................................................... 144

    Figure 6.8 Camber at erection................................................................................... 145

    Figure 6.9 Camber at two years after fabrication ..................................................... 146

    Figure 7.1 Cylinder locations and labels.................................................................. 154

    Figure 7.2 Comparison of modulus of elasticity at transfer...................................... 159

    Figure 7.3 Comparison of modulus of elasticity at deck pour.................................. 161

    Figure 8.1 Dimensions of vehicle used for testing ................................................. 162

    Figure 8.2 Sensor measurements vs. time when the truck moved across the bridge near the barrier @ girder A .............................................................................. 165

    Figure 8.3 Sensor measurements vs. time when the truck moved across the bridge

    along the centerline of the bridge..................................................................... 165 Figure 8.4 Impact factor truck moving through the left driving lane ....................... 170

    Figure 8.5 Impact factor truck moving through the right driving lane ..................... 170

    Figure 8.6 Moment distribution factors for interior girders for crawl speed ............ 172

    Figure 8.7 Moment distribution factors for exterior girders for crawl speed ........... 173

    Figure 8.8 Shear distribution factors for interior girders at crawl speed .................. 173

    Figure 8.9 Shear distribution factors for exterior girders at crawl speed.................. 174

    Figure 8.10 Moment distribution factors for 30mph speed when test truck was moved through the right lane ....................................................................................... 175

    Figure 8.11 Moment distribution factors for 30mph speed when test truck was moved

    through the left lane.......................................................................................... 175 Figure 8.12 Moment distribution factors for 50mph speed when test truck was moved

    through the right lane ....................................................................................... 176 Figure 8.13 Moment distribution factors for 50mph speed when test truck was moved

    through the left lane.......................................................................................... 176

  • xiv

    Figure 8.14 Shear distribution factors for 30mph speed when test truck was moved through the right lane ....................................................................................... 177

    Figure 8.15 Shear distribution factors for 30mph speed when test truck was moved

    through the left lane.......................................................................................... 177 Figure 8.16 Shear distribution factors for 50mph speed when test truck was moved

    through the right lane ....................................................................................... 178 Figure 8.17 Shear distribution factors for 50mph speed when test truck was moved

    through the left lane.......................................................................................... 178 Figure 8.18 Girder deflections when the test truck was moved through right lane at

    30 mph.............................................................................................................. 180 Figure 8.19 Girder deflections when the test truck was moved through left lane at 30

    mph................................................................................................................... 181 Figure 8.20 Girder deflections when the test truck was moved through right lane at

    50 mph.............................................................................................................. 181 Figure 8.21 Girder deflections when the test truck was moved through left lane at 50

    mph................................................................................................................... 182 Figure 9.1 Typical sensor measurements under regular traffic................................. 184

    Figure 9.2 Sensor measurements after filtration ....................................................... 184

    Figure 9.3 Dynamic and static strain from sensor measurements ............................ 186

    Figure 9.4 Impact factors under regular traffic......................................................... 187

    Figure 9.5 Moment distribution factors under regular traffic ................................... 188

    Figure 9.6 Shear distribution factors under regular traffic ....................................... 188

    Figure 10.1 Comparison of the measured stresses to the AASHTO limits at transfer.......................................................................................................................... 194

    Figure 10.2 Comparison of the measured stresses to the AASHTO limits at service

    .......................................................................................................................... 194 Figure 10.3 Measured moment at midspan under regular traffic.............................. 203

  • xv

    Figure 10.4 Measured moment at midspan caused by dead load ............................. 203

    Figure 10.5 Measured shear force caused by regular traffic..................................... 204

    Figure 10.6 Measured moment vs. moment capacity by the AASHTO codes ......... 205

    Figure 10.7 Measured shear force vs. shear capacity by the AASHTO codes ......... 206

    Figure 10.8 Deflection of girders at midspan under regular traffic ......................... 208

    Figure 10.9 Deflection measured vs. the AASHTO limits ...................................... 208

  • 1

    CHAPTER 1 INTRODUCTION AND PREVIOUS RESEARCH1.1

    Research Objectives

    High performance concrete (HPC), designed to have a higher strength and better

    durability than conventional concrete, is being widely used in prestressed highway

    bridges because of its engineering and economic benefits. The use of HPC in

    pretensioned concrete bridge girders enables engineers to design bridges with longer

    span lengths and fewer supports, shallower sections, and increased girder spacing.

    This can decrease the fabrication, transportation, and erection costs of the bridge.

    Using HPC in a bridge can be expected to result in significant savings due to the

    longer life with less maintenance (Prussack, 2000).

    In recent years there has been an ever increasing interest in the use of HPC for

    bridge applications. The trend is clear that more and more bridges will be built with

    HPC in the foreseeable future as the industry becomes more familiar with the

    technology. However, some properties of HPC still remain unknown and under study.

    There are factors that need to be further considered due to the new material nature of

    HPC.

    In this study a fiber optic monitoring system was to be designed and embedded in

    a high performance prestressed concrete bridge during construction. The new bridge

    was to be monitored from construction through service. Several topics pertaining to

    HPC were selected to be further investigated in this project: Prestress losses, camber

    as well as in-situ material properties. In addition, the structural performance, load

  • 2

    distribution, and load rating of the bridge was to be performed under regular traffic

    loading. The main objectives of the study were to:

    1. Monitor the prestress losses in the concrete for a period of two years. The

    actual prestress losses were obtained from the data collected. The measured

    losses were compared to those calculated using the PCI (Prestressed Concrete

    Institute) General method, the ACI-ASCE (American Concrete Institute –

    American Society for Civil Engineers) method, the AASHTO LRFD (Load

    and Resistance Factor Design) method, the AASHTO LRFD Lump Sum

    method, and the NCHRP (National Cooperative Highway Research Program)

    detailed and approximate method.

    2. Obtain cambers of the girders from sensor measurement at different stages.

    Then compare the results with the cambers measured using a laser level and

    the cambers calculated using the PCI multiplier method and the PCI improved

    multiplier method.

    3. Obtain in-situ material properties, such as the actual modulus of elasticity at 3

    days and 28 days from sensor measurements. The results are then compared

    with laboratory cylinder test results and the values calculated using code

    methods and various empirical equations.

    4. Obtain the moment and shear girder distribution factors (GDF) from sensor

    measurements, and compare the results with the values using the AASHTO

    Standard and AASHTO LRFD equations.

    5. Perform the load rating of the bridge under traffic loading.

  • 3

    The tasks to be performed:

    1. Install a built-in long gage embeddable MUST optical fiber sensor monitoring

    system in the Southbound Bridge. The system will be used to monitor

    temperature, short and long term strain, prestressing forces and deflection in

    high performance concrete bridge girders.

    2. Collect data with the built-in system from the time of fabrication into

    construction and service.

    3. Perform experimental work that will include both field measurements and

    laboratory tests.

    4. Perform truck load tests to investigate shear distribution factors and moment

    distribution factors in the bridge using the built-in sensor system.

    5. In-situ material properties such as the modulus of elasticity obtained at early

    age, as well as at 28 days and at the time the deck is cast will be compared

    with the modulus of elasticity predicted by formulas used by various codes.

    6. Data processing- Data will be analyzed to evaluate prestress losses,

    distribution factors in the bridge, camber, material properties, and compare

    with predicted results using the AASHTO code.

    7. Load rating of the bridge will be performed using data collected under traffic

    loading.

    8. Final report.

  • 4

    1.2 Previous Research on Load Distribution Factors

    1.2.1 Barr, Stanton, Eberhard (2000)

    The main objective of this study was to evaluate the live load distribution

    factors for moment and compare them to the AASHTO LRFD Bridge Specifications.

    The study bridge had three spans. Each span had five prestressed high performance

    concrete I-girders. The Washington State W74MG cross-section was used for all

    girders. The evaluation was performed in several steps. First, a 35 kips (155.7 kN)

    truck was placed at several locations along the bridge and the bridge’s response to the

    truck load was measured in spans one and two. This measured response was then

    compared to a finite element. After the validity of the finite element model was

    confirmed, the live load distribution factors for moment were calculated using the

    model. The resulting distribution factors were used to evaluate the effects of lifts,

    diaphragms, continuity, and skew on the load distribution factors by means of an

    analytical parameter study.

    The main conclusions from this study were:

    1. The distribution factors from the finite element model were lower than those

    calculated from the AASHTO LRFD code.

    2. The moment distribution factors from the AASHTO LRFD Specifications were

    found to be more conservative than those from the Standard Specifications at

    low skew angles.

    3. The effect of intermediate diaphragms on the distribution factors depended on

    the skew for exterior girders. The maximum distribution factors were at a

  • 5

    skew angle of 30 degrees. For interior girders the addition of intermediate

    diaphragms resulted in more uniform distribution of load at all skew angles,

    reducing the distribution factor by an average of 2.5 percent. Overall,

    intermediate diaphragms had the smallest effect on the distribution factors of

    all the considered parameters.

    1.2.2 Stalling, Barnes, Porter (2003)

    The purpose of this study was to compare the moment distribution factors,

    deflections, and stresses measured during field tests with those calculated using the

    AASHTO LRFD and AASHTO Standard Specifications. The study bridge had seven

    spans with a total length of 798 feet (243 meters). Span five was chosen for live load

    tests. The length of that span was 114 feet (33.7 meters). Five simply supported,

    prestressed high performance concrete AASHTO BT-54 girders were used in that

    span to support a 7 inch (178 mm) cast-in-place concrete deck. Both static and

    dynamic live load tests were conducted on the bridge.

    The distribution factors calculated using the AASHTO LRFD and AASHTO

    Standard Specifications were found to be conservative. This study also showed that

    even though the bridge had diaphragms at the supports and at midspan, it did not

    behave as a rigid body when under multiple lane loadings. The diaphragms had very

    little effect on the distribution factors. The exterior girders took no more load than the

    interior girders.

  • 6

    The researchers found that the ratio of dynamic load effects to static load

    effects were smaller than the dynamic load allowance factor of 1.33 according to

    AASHTO LRFD Specifications. This indicated that the code dynamic load

    allowance factor was conservative.

    The stresses and strains measured under live load were significantly smaller

    than predicted for all girders under different loadings. The researchers concluded that

    this difference was due to the added stiffness of the bridge barriers, which were

    neglected during design. The deflections measured during the load test were all

    within 20 percent of the deflections predicted using AASHTO LRFD Bridge Design

    Specifications.

    1.2.3 Jauregui, Barr, White (2003)

    The purpose of this study was to evaluate the operating load rating of a

    precast, prestressed concrete girder bridge over the Rio Grande River on Interstate-40

    in Albuquerque, New Mexico. The load rating was defined as the ratio of maximum

    allowed moment due to an overweight vehicle to the maximum moment caused by

    the HS-20 truck. The bridge consisted of two bounds, and each bound had ten spans

    with a total length of 1,240 feet (378 meters). The cross section of the bridges

    consisted of twelve prestressed concrete BT-72 girders. The bridges were simply

    supported under non-composite dead load, and continuous under composite dead load

    and live load. The design of the bridge was according to the AASHTO Standard

    Specifications. The original operating load rating of the bridge was 1.67. If a truck

  • 7

    caused a moment which is larger than 1.67 multiplied by the moment caused by an

    HS-20 truck, the truck would be denied to pass the bridge and had to travel an

    additional 100 miles (160 km) to bypass the bridge.

    Distribution factors were calculated using the AASHTO Standard

    Specifications, as well as using a detailed finite element model from SAP 2000. The

    model’s accuracy was confirmed by the live load tests. Span 2 was selected for the

    live load test. In order to obtain the maximum moments, the test truck was placed in

    several positions along the bridge, and across the width of the bridge. The distribution

    factor calculated from the specifications was found to be conservative. The new live

    load distribution factor from the finite element model was then used to adjust the load

    rating of the bridge. The new load rating was 2.85, increased by a factor of 1.7 from

    the old load rating.

    1.2.4 Idriss, Hughs (2006)

    The purpose of this research was to evaluate the accuracy of girder

    distribution factors for a continuous, prestressed concrete, spread box-girder bridge

    from AASHTO LRFD and AASHTO Standard Specifications by comparing them with

    results from a finite element model verified through field testing. The study bridge

    was located in Las Cruces, New Mexico. It consisted of five spans with a total length

    of 642 ft (196 m) and has a skew angle of 12 degrees. Each span consisted of six

    prestressed high performance concrete spread box-girders. Span 5 was chosen for the

  • 8

    live load test. The bridge was designed to be simply supported under dead load, and

    continuous under live load.

    The test vehicle used for the live load test was a three-axle dump truck with a

    total weight of 56,760 pounds (252.5 kN). Influence lines were used to find the truck

    locations for maximum moment and shear. The moment and shear forces were

    measured by an optical sensors system embedded in the girders. The results were

    compared to those calculated from a finite element model using SAP 2000, and

    confirmed its accuracy. It was found in this study that both the AASHTO LRFD and

    AASHTO Standard Specifications are conservative in evaluating the moment and

    shear distribution factor.

    Some of the major points and conclusions from the previous research papers

    in this section are summarized in Table 1.1. The table includes the type of bridge, the

    method used in each research project, and the conclusions about the girder

    distribution factors from finite element model, field test, as well as from the

    AASHTO Standard and LRFD codes.

  • 9

    Table 1.1 Previous research summary on girder distribution factor SECTION BRIDGE

    TYPE METHOD CONCLUSION

    1.2.1 Beam and slab, HPC prestressed I-girder

    Static load test, FEM

    Both AASHTO codes were conservative compared to FEM. Standard was more accurate than LRFD. Intermediate diaphragms had little effect.

    1.2.2 Beam and slab, HPC prestressed I-girder

    Static and dynamic load test, FEM

    Both AASHTO codes were conservative. Diaphragms did not make the bridge a rigid body and had little effect on GDF. The impact factor from LRFD was conservative.

    1.2.3 Beam and slab, HPC prestressed I-girder

    Static live load test, FEM

    AASHTO Standard was conservative. New GDF from FEM was used to increase the load rating from 1.67 to 2.85.

    1.2.4 Beam and slab, HPC prestressed U-girder

    Static live load test, FEM

    Both AASHTO codes were conservative compared to load test and FEM.

    1.3 Previous Research on Prestress Losses of HPC

    1.3.1 Naaman, Hamaz (1993)

    Antoine E. Naaman and Ali Ml Hamaz conducted a project on the topic of

    prestress losses in partially prestressed high strength concrete beams. This project was

    focused on the influence of the partial prestressing ratio (from no prestressing to full

    prestressing) and the compressive strength of concrete from 6 ksi (41 MPa) up to 10

    ksi (69 MPa). Different beam cross-sections, representing building and bridge girders

    with various spans and spacing were studied. The conclusions of this project were: 1.

    The prestress loss due to creep decreases with a decrease in the partial prestressing

  • 10

    ratio: PPR. 2. The loss due to relaxation of the prestressing steel increases with a

    decrease in PPR. 3. The time-dependent stress loss in the prestressing steel generally

    decreases with an increase in the concrete compressive strength. Up to a 20 percent

    decrease was observed when the concrete strength varied from 6-10 ksi (41 to 69

    MPa). 4. Time-dependent losses are influenced by the type of cross section. 5. The

    loss due to elastic shortening decreases with a decrease in the PPR.

    1.3.2 Ahlborn, French, Shield (2000)

    Theresa M. Ahlborn, Catherine E. French, and Carol K. Shield, sponsored by

    Minnesota Department of Transportation, accomplished a project to study the long

    term and flexural behavior of high-strength concrete prestressed bridge girders in

    2000. Two standard size Mn/DOT 45M girders were designed, constructed, and

    tested to investigate the structural behavior of sections incorporating high strength

    concrete. 0.6 in (15.2 mm) diameter 270 ksi (1860 MPa) low-relaxation strands were

    chosen for design of the test girders. The design compressive strength of the concrete

    was 8925 psi (62 MPa) at release and 10500 psi (73 MPa) at 28-days. The conclusion

    about prestress losses of this research project was that the prestress losses predicted

    by AASHTO ignore the concrete stress before release and overestimate the high-

    strength concrete modulus, which lead to lower initial losses. AASHTO also over-

    predicted the creep and shrinkage of the HPC concrete, which led to higher long-term

    losses.

  • 11

    1.3.3 Kowalsky, Zia, Wagner, Warren (2002)

    Mervyn J. Kowalsky, Paul Zia, Matt C. Wagner, and Bruce A. Warren, in a

    project sponsored by Federal Highway Administration, used a bridge on U. S.

    Highway 401 in Raleigh crossing the Neuse River as a demonstration bridge. The

    objective of this research was to monitor the behavior of four prestressed HPC bridge

    girders during their casting and study the properties of the concrete used in the

    girders. The compressive strength of HPC used in this project was between 10 ksi (69

    MPa) and 11 ksi (76 MPa). The structure was a four-span bridge that carried three

    lanes of the southbound traffic of the divided highway. HPC was used for both the

    girders and the deck. Their conclusion about the prestress loss was: Total prestress

    loss was 26.0 ksi (12.9%) for the AASHTO Type III girders and 38.1 ksi (19.1%) for

    the AASHTO Type IV girders. Elastic shortening and creep were the major

    contributors to the total loss. The loss due to shrinkage was almost insignificant.

    1.3.4 Idriss, Solano (2002)

    Rola L. Idriss and Amor Solano completed a project on the topic of effects of

    steam curing temperature on early prestress losses in high performance concrete

    beams in 2002. Four HPC I-beams (type BT-1600) were monitored to calculate the

    prestress losses. The compressive strength was found to be 7325 psi (50.5 MPa) at 3

    days (strand release), 9076 psi (62.6 MPa) at 28 days, and 10151psi (70.0 MPa) at 56

    days according to the cylinder test. The girders were steam-cured and the modulus of

    elasticity was 4.9 ksi (34.2 MPa) at 3 days and 5.7 ksi (39.2 MPa) at 60 days. Four

    methods where used to predict the prestress losses: the Prestressed Concrete Institute

  • 12

    (PCI) General method , the American Concrete Institute – American Society for Civil

    Engineers (ACI-ASCE) Method ,the AASHTO LRFD Refined method , and the

    AASHTO LRFD Lump Sum method. The research results showed that all four

    methods over-predicted the prestress losses for HPC and were found to be very

    conservative. The results also showed that the steam curing temperature can have a

    significant effect on the early prestress losses in HPC. A lower curing temperature

    was associated with larger early prestress losses following transfer. This was most

    pronounced in the month following transfer, and tapered with time.

    1.3.5 Tadros, Al-Omaishi, Seguirant, Gallt (2003)

    Maher K. Tadros, Nabil Al-Omaishi, Stephen J. Seguirant, James G. Gallt,

    sponsored by the American Association of State Highway and Transportation

    Officials, conducted a project to develop design guidelines for estimating prestress

    losses in pretensioned high-strength concrete bridge girders. The research consisted

    of experimental and theoretical programs. The experimental program consisted of

    measurements of properties of materials and of prestress loss in seven full-scale

    bridges girders in four states. It also included the test results previously reported for

    31 pretensioned girders in the study. The measured strength of the HPC varied from

    9.02 ksi (62.2 MPa) to 10.67 ksi (73.6 MPa). Measured prestress losses were

    compared with the estimated prestress losses by AASHTO-LRFD refined and Lump-

    sum method. Both of these methods overestimated prestress loss for the instrumented

    bridge. This project also proposed an approximated method and a detailed method to

    calculate the prestress losses of HPC. The proposed detailed method gave a better

  • 13

    correlation with test results than the AASHTO-LRFD refined method and PCI-BDM

    method. The proposed approximated method was almost as accurate as the detailed

    method and the PCI-BDM method, but was much simpler.

    Some of the major points and conclusions from the previous research papers on

    prestress losses are summarized in Table 1.2. The table includes the type of bridge,

    the concrete strength of the girders, and the conclusions about the prestress losses

    from field or laboratory test comparing to the values predicted by different design

    codes.

    Table 1.2 Previous research summary on prestress loss SECTION

    BRIDGE TYPE

    CONCRETE STRENGTH

    CONCLUSION

    1.3.1 Beam and slab, Different beam cross-sections

    6 ksi (41MPa) to 10 ksi (69 MPa)

    The prestress loss due to creep decreases with a decrease in the PPR; The time dependent loss decreases up to 20% with an increase in the concrete strength

    1.3.2 Beam and slab, Standard Mn/DOT 45M girders

    10.5 ksi (73 MPa)

    AASHTO underestimated the initial loss due to elastic shortening but overestimated the loss due to creep and shrinkage.

    1.3.3 Beam and slab, AASHTO Type III and Type IV girders

    10 ksi (69 MPa) to 11ksi (76 MPa)

    Total loss was 12.9% for the type III girders and 19.1% for the type IV girders. Loss was mainly due to elastic shortening and creep.

    1.3.4 Beam and slab, Type BT-1600 I-beams

    10.2 ksi (70 MPa)

    The PCI General, ACI-ASCE, AASHTO LRFD and Lump Sum methods all overestimated the prestress losses.

    1.3.5 Beam and slab, Different beam cross-sections

    9.02 ksi (62.2 MPa) to 10.67 ksi (73.6 MPa)

    Both AASHTO LRFD and Lump Sum methods overestimated the prestress losses. New methods for the calculation of prestress losses were proposed.

  • 14

    1.4 Previous Research on Cambers of HPC Bridge Girder

    1.4.1 Byle, Burns, Carrasquillo (1997)

    K. A. Byle, Ned H. Burns, and Ramon L. Carrasquillo in a project sponsored

    by the Texas Department of Transportation and the Federal Highway Administration

    investigated time-dependent deformation behavior of prestressed high performance

    concrete bridge beams in 1997. Twelve full-scale prestressed high performance

    concrete Texas type U54 bridge beams with span lengths ranging from 116.63 ft

    (35.55 m) to 135.33 ft (41.25 m) were instrumented and monitored in the field. The

    design compressive strengths of the concrete were between 11.6 ksi and 13.1 ksi

    (80.0 and 90.3 MPa). The modulus of elasticity was varied from 5580 ksi to 6150 ksi

    (38.5 Gpa to 42.4 Gpa) at release and from 6550 ksi to 7290 ksi (45.2GPa to

    50.3GPa) at 56 days. Cambers were measured from transfer of the prestressing force

    until 5 months after the deck placement. The cambers predicted by the PCI method

    were found to be 0.60, 0.56, 0.57 inch (15.3, 14.1, and 14.6 mm) larger than the

    measured cambers at release, erection, and long-term respectively. This was due to

    the inability to precisely predict the material properties, prestressing force, and

    movements induced by temperature change.

    A set of new multipliers were proposed in this project and were found to

    predict the measured camber and deflection of the U-beams with reasonable accuracy.

    These proposed multipliers were sensitive to the effective prestressing force, the

    creep coefficient function, and the modulus of elasticity at release. The long-term

    deflection of the U-beams due to the superimposed deck load was projected to be

  • 15

    very small because the composite section was nearly three times as stiff as the

    noncomposite section and because a majority of the ultimate creep deformation

    occurred during storage. The authors also found that the temperature gradients on

    sunny days could cause thermal movements of at least 0.43 in (12 mm) in the

    noncomposite U-beams and at least 0.32 in (8 mm) in the composite U-beams.

    1.4.2 Barr, Fekete, Eberhard, Stanton, Khaleghi, Hsieh (2000)

    P. Barr, E. Fekete, M. Eberhard, J. Stanton, B. Khaleghi, and J.C.Hsieh,

    sponsored by Federal Highway Administration, conducted a research on the

    effectiveness of using HPC in prestressed precast concrete girders on a bridge in the

    state of Washington. Fifteen bridge girders were fabricated for the three-span bridge.

    Ten had length of 80 ft (24.4 m) in span 1 and 3, and five had length of 137 ft (41.8 m)

    in span 2. The Washington W74G cross-section was used for all girders, which were

    made composite with the 7.5 in (190 mm) deck slab. The strength of HPC was 10 ksi

    (68.9 MPa) at 56 days. Camber was monitored with a stretched-wire system and a

    supplementary surveyor’s level. The predicted camber by the PCI method was found

    to be 37.5 percent higher than the measured camber at transfer. Out of the five girders

    in span 2, the predicted camber before the deck pour was close to the measured

    cambers for three girders, while the other two girders had lower cambers than

    predicted. The predicted camber after the deck pour was higher than the measured

    cambers for all girders except one. The average camber at day 200 was 5.4 inch (138

    mm). The camber was also found to vary by approximately 0.8 in (20 mm) in a

  • 16

    typical day for the girders in span 2. The maximum and minimum camber readings

    occurred at 3:00 PM and 6:00 AM respectively. The variation was attributed to

    thermal effects.

    1.4.3 Slapkus (2002)

    The Jonesboro Road Bridge located at Henry County, Georgia was the

    demonstration bridge for this project discussed by Slapkus. The bridge consisted of

    four spans, using both Type II and Type IV precast, prestressed HPC girders, with a

    cast-in-place composite deck. Span 2 was simply supported with a span length of 124

    ft-1 in. and was an instrumented span. The 56-day compressive strength for the HPC

    prestressed girders and the composite deck were 12,050 psi (83 MPa) and 7,311 psi

    (50 MPa), respectively. The 56- day modulus of elasticity was 4,911 ksi (33.9 MPa)

    and 3,600 ksi (24.8 MPa) respectively for the Type IV girders and deck. The initial

    deflection from the dead load (DL) of the deck was an average of 2.53 in (64.3 mm)

    for the three girders measured. During deck hydration, at a peak temperature of

    107.8°F (42°C), the bridge experienced an average upward displacement of

    approximately 0.43 in (10.9 mm). At approximately two days after casting, the

    average deck temperature returned to ambient condition; and the average downward

    deflection was approximately 0.68 in. (17.3 mm) from the point of peak temperature

    (total deflection of 2.92 in, 74.2 mm). With the additional DL of the barriers, the

    average bridge deflection was 3.187 in. (2.3 mm), with individual deflections of

    2.973 in. (75.5 mm), 3.171 in. (80.5 mm) and 3.418 in. (86.8 mm) for the north (G

  • 17

    2.9), center (G2.10) and south girder (G 2.11), respectively. The deflections varied

    between girders due to the uneven barrier weight distribution and bridge skew. At 70

    days from the time of casting, the average bridge deflection measured was 3.266 in

    (82.9 mm), 0.55 in. (14 mm) greater than the total DL deflection from the deck self

    weight and barrier weight. In analyzing deflections from this project, Slapkus found

    the actual deflections to be greater than those predicted. The predicted deflections

    resulted in an upward camber of 0.71 in (18.0 mm), whereas the actual measured

    deflections after one year translated into a downward deflection of 1.3 in (33.0 mm).

    1.4.4 Idriss, Liang (2004)

    The bridge under investigation was the I-10 bridge over University Avenue

    and Main Street in Las Cruces, New Mexico. The bridge consisted of two parts:

    westbound and eastbound. A total of 72 deformation sensors were installed in span 5

    of the westbound bridge to monitor the bridge. The span length was 132.25 ft (40.13

    m). The primary members of the bridge consisted of six U54b HPC beams. The

    strength of the concrete was 8 ksi at release and 10 ksi at 28 days. Cambers of the

    girders were obtained from sensor measurements and were measured using a laser

    level, and also calculated using the methods in PCI design manual section 8.7.1. The

    following conclusions were reached based on the result of this project:

    1. Both the PCI multiplier method and the PCI improved multiplier method over-

    predicted the camber at erection. This led to additional concrete and a thicker

  • 18

    haunch needed to correct for the lack of girder camber. It also led to a downward

    deflection after the pouring of the slab.

    2. The lack of camber growth during storage was attributed to the lower creep

    properties of the HPC.

    3. When in-situ modulus of elasticity is used, the PCI multiplier method and the PCI

    improved multiplier method accurately predicted the elastic deflection at prestress

    transfer and deck pour.

    4. The PCI improved multiplier method yielded more accurate results than The PCI

    multiplier method in predicting the time-dependent growth of camber.

    5. Only a small increase of 0.40 in (10.1 mm) of downward deflection was measured

    during the six month after deck pour.

    Some of the major points and conclusions from the previous research papers on

    cambers of HPC girders are summarized in Table 1.3. The table includes the type of

    bridge, the concrete strength of the girders, and the conclusions about the measured

    cambers comparing to the predicted values by the PCI methods.

    1.5 Previous Research on Modulus of Elasticity of HPC

    1.5.1 Fekete, Barr, Stanton, Eberhard, Janssen (2001)

    E. Fekete, P. Barr, J. Stanton, M. Eberhard, D. Janssen [8], sponsored by Federal

    Highway Administration, conducted a research on the topic of the creep properties of

    HPC. The creep properties strongly affect the prestressing losses in a prestressed

  • 19

    girder. This paper presented preliminary test results from the first year of the

    materials testing program of the HPC mix used in the prestressed precast concrete

    girders on a bridge in the state of Washington. The bridge utilizes WSDOT 74G

    pretensioned I-girders with a 190 mm cast-in-place composite deck. The girders were

    designed for a concrete compressive strength of 10 ksi (69 MPa) at 56 days. The

    Table 1.3 Previous research summary on cambers of HPC girders SECTION BRIDGE

    TYPE CONCRETE STRENGTH

    CONCLUSION

    1.4.1 Beam and slab, Texas U54 girders

    11.6 ksi (80 MPa) to 13.1 ksi (90.3 MPa)

    The PCI method overestimate the cambers at transfer, erection, and long-term. Long-term camber caused by the superimposed deck load was small.

    1.4.2 Beam and slab, Washington W74G girders

    10 ksi (68.9 MPa)

    The predicted camber by PCI method was higher than the measured camber at transfer, before and after deck placement. Cambers varied by 0.8 in (20 mm) in a typical day due to thermal effect.

    1.4.3 Beam and slab, AASHTO Type II and Type IV girders

    12 ksi (83 MPa)

    The actual deflections are greater than those predicted. Final deflection after one year was 1.3 in (33 mm) downward. The maximum seasonal variation was 0.25 in (5.3 mm).

    1.4.4 Beam and slab, Texas U54B girders

    10 ksi (68.9 MPa)

    PCI methods accurately predicted the elastic deflection at transfer if in-situ modulus of elasticity was used, but overestimated the cambers at erection. Small increase of 0.40 in (10.1 mm) downward deflection was measured during the six month after deck pour.

  • 20

    girders were also steam-cured. The concrete had a modulus of elasticity of 5500 ksi

    (37.9 Gpa). The material testing program included determining compressive and

    tensile strengths, elastic modulus, long term creep, shrinkage, and thermal expansion

    properties of the HPC girder. They also monitored the compressive and tensile

    strengths, and elastic modulus variations of the deck concrete. The conclusion of this

    paper was: The total measured creep coefficient after 6 months of testing ranged from

    1.64 to 2.72 for a total creep of 6 in (152 mm) diameter cylinders. These values

    significantly exceeded the value of 1.60 suggested for 10,000 psi (68.9 MPa) concrete

    as given by Nilson (1987).

    1.5.2 Ramakrishnan, Sigl (2001)

    V. Ramakrishnan and Arden Sigl, in cooperation with the South Dakota

    Department of Transportation, constructed a research on the twin prestressed girder

    bridges located along Interstate 29 near Sioux Falls, South Dakota. Each bridge had

    three spans with four AASHTO Type II prestressed girders in each span. The design

    compressive concrete strength was 9.9 ksi (68.3 MPa) at 28 days. Laboratory trial

    batches were made and tested to optimize HPC mix designs for the girders and the

    decks. For the high performance bridge deck concrete two different coarse aggregates

    were used (quartzite and limestone) and ten mixes were cast with each aggregate. In

    each mix the percentage replacement of cement by weight with silica fume and fly

    ash was varied, keeping the w/c ratio constant. For the high-strength bridge girder

    concrete, twelve mixes were cast varying both the percentage replacement of cement

  • 21

    with silica fume and the w/c ratios. The percentage replacements of silica fume

    investigated were 7%, 10% and 12% and the w/c ratios investigated were 0.28, 0.30,

    and 0.32. All concretes were tested for compressive strength, static modulus, modulus

    of rupture and chloride permeability. Tests to determine the modulus of elasticity for

    both the girder and deck concrete were conducted at selected ages up to one year. The

    authors found that the equation currently recommended for calculation of the

    modulus of elasticity for HPC (the ACI 363 equation:

    5.1' )145)(000,000,1000,40( ccc wfE += ) did not yield the correct results. Based on

    the modulus of elasticity tests conducted as part of this research and limited to mixes

    containing Sioux Quartzite aggregate, the authors recommended that the above

    equation be modified by changing the 1,000,000 constant to 2,000,000. It was also

    recommended that the ACI 363 equation be used without modification for mixes

    containing limestone aggregates since the research was not conducted on mixes

    containing limestone aggregate.

    1.5.3 Hughs, Liang, Idriss, Newtson (2005)

    Erin A. Hughs, Zhiyong Liang, Rola L. Idriss, and Craig M. Newtson

    conducted a research project on an evaluation of Young’s modulus of elasticity (Ec)

    for a new, prestressed, high performance concrete, spread box-girder bridge. The

    design compressive strength of the HPC was 8ksi (55.2 MPa) at transfer and 10 ksi

    (68.9 MPa) at 28 days. The modulus of elasticity was measured using sample

    concrete cylinders obtained during concrete placement of the study bridge girders as

  • 22

    well as through embedded fiber optic sensors which were placed inside the bridge

    girders. The measured modulus of elasticity was then compared with several well-

    known empirical equations used to predict Ec during the design process. The

    coefficient of thermal expansion (α) was also measured using the deformation

    sensors.

    The following conclusions were drawn based on the results of this

    experimental investigation of the modulus of elasticity and the coefficient of thermal

    expansion for high performance concrete:

    1. Empirical equations originally created for regular strength concrete are not

    necessarily applicable to high performance concrete.

    2. For the study bridge the ACI 363 revised equation for HPC and the PCI Design

    Handbook equation for HPC were found to be the most accurate to the true value.

    3. All other empirical equations investigated did not predict a value for Ec that fell

    within an acceptable range of error.

    4. The coefficient of thermal expansion for the HPC study bridge fell within the

    accepted range for regular strength concrete, supporting its use for HPC.

    5. More on-site and laboratory testing should be done to find Ec for other HPC bridges.

    Also, an empirical equation developed specifically for HPC should be required to

    use for design of HPC bridges.

    Some of the major points and conclusions from the previous research papers on

    the modulus of elasticity of HPC are summarized in Table 1.4. The table includes the

    type of bridge, the concrete strength of the girders, and the conclusions about the

  • 23

    modulus of elasticity of HPC from field or laboratory test comparing to the values

    predicted by different design codes.

    Table 1.4 Previous research summary on the modulus of elasticity of HPC Section Bridge Type Concrete

    Strength Conclusion

    1.5.1 Beam and slab, WSDOT 74G I-girder

    10 ksi (68.9 MPa)

    The total measured creep coefficients after 6 months of testing were significantly exceeded the value suggest for 10 ksi (68.9 MPa) by Nilson (1987)

    1.5.2 Beam and slab, AASHTO Type II girders

    9.9 ksi (68.3 MPa)

    The ACI 363 equation did not yield the correct results for the modulus of elasticity of HPC. It was recommended that the constant 1,000,000 in the ACI 363 equation be modified to 2,000,000

    1.5.3 Beam and slab, AASHTO Type II and Type IV girders

    12 ksi (83 MPa)

    Empirical equations originally created for regular strength concrete are not necessarily applicable to HPC. The ACI 363 revised equation for HPC and the PCI equation for HPC were found to be the most accurate to the measured value.

  • 24

    CHAPTER 2 BRIDGE DESCRIPTION

    2.1 Overview

    The bridge studied in this project is the I-25 bridge at the Dona Ana

    interchange in Las Cruces, New Mexico. The structure consists of two parts,

    northbound and southbound. The northbound was selected for evaluation. As shown

    in Figure 2.1, the bridge has one simple span with a length of 112.5 ft (34.3 m). The

    primary members of the bridge consist of six BT-63 prestressed high performance

    concrete (HPC) girders. The bridge cross section is shown in Figure 2.2. Concrete

    diaphragms were used to transfer the load from one beam to another and to assist in

    the stability of the bridge. The deck was fabricated with concrete reinforced with

    Grade 60 steel. The deck is 7.5 in (191 mm) thick and has a slope of 2%.

    Figure 2.1 Bridge Profile

    112’-6” (34.3 m) between Abutments

    6 BT-63 Girders

  • 25

    Figure 2.2 Bridge Cross-section

    2.2 Design Data

    The bridge design was in accordance with AASHTO Standard Specifications

    2002, seventeenth edition and current interims.

    The concrete compressive strength for the girders:

    f’ci = 8,000 psi (55.2 MPa) at time of initial prestress transfer

    f’c = 9,500 psi (65.5 MPa) at 28 days

    Prestressing Steel:

    6/10” (15.2 mm) diameter seven wire low relaxation strands

    Ultimate strength fs = 58.6 kips (261 kN) /strand

    5 Spaces @ 7’-3” (2.2 m) = 36’-3” (11.0 m)

    43’-0” (13.1 m)

    A B C D E F

    Right Driving Lane 12 ft (3.66 m)

    Left Driving Lane 12 ft (3.66 m)

    Shoulder 10 ft (3.05 m)

    Shoulder 6 ft (1.83 m)

    7 ½” (191 mm) Deck Thickness

  • 26

    Yield strength fy = 52.7 kips (234 kN)/strand

    Conventional Reinforcing Bars:

    Yield strength fy = 60,000 psi (414 MPa)

    The concrete compressive strength for the composite slab:

    f’c = 4,000 psi (27.6 MPa)

    Loads:

    Allowance for future overlay = 30 psf (1436 Pa)

    Allowance for stay-in-place deck forms = 15 psf (718 Pa)

    Live load = HS-25-44

    2.3 Girders Details

    There were six I-beam type BT-63 high performance concrete girders in the

    bridge, spaced at 7’3” (2.2 m). Hooked epoxy coated grade 60 reinforcing bars

    protruding through the top of the girders provided a connection between the girders

    and the deck. The girders were prestressed by 30 Grade 270 steel tendons: 24 straight

    and 6 draped. The tendon configuration as well as the dimensions of the girder cross

    section can be seen in Figure 2.3. The design was based on the use of 6/10” (15.2

    mm) diameter low-relaxation strands meeting the requirements of AASHTO M-203

    (grade 270). Initial prestressing force was 43.9 kips (195.3 kN) per strand. Slight

    overstressing up to 46.9 kips (208.6 kN) per strand was allowed to offset seating

    losses.

  • 27

    Figure 2.3 Details of BT-63 Girders (1 inch = 25.4 mm)

    16 SP.@11”=6’-5” 16 SP. @ 2’-0” = 32’-0” 10” 12 SP. @ 8”

    = 8’-0”

    8 SP.@1 1/2” = 1’-0” 56’-3”

    (6) Draped Strands

    3’-6” 3’-6”

    2’-2” 2’-2”

    1’-0

    3’-9

    5’-3

    4½”

    5”2” 2

    ”3½

    SECTION NEAR END SECTION NEAR MIDSPAN

    11’-4 3/16”

  • 28

    CHAPTER 3 MONITORING SYSTEM AND EQUIPMENT

    3.1 MuST System

    The monitoring system used in this project is the MuST (Multiplexed Strain

    and Temperature) Monitoring System, which was designed by the SMARTEC Co.

    The system consists of a MuST reading unit with 16 channels, 6 connection boxes, 32

    Fiber Bragg Grating (FBG) sensors, and extension cables whose function is to

    connect the sensors to the connection box and reading unit. Figure 3.1 shows the

    layout of all the equipments.

    The FBG deformation sensor is 3.28 ft (1 meter) long, single end deformation

    sensor with an integrated temperature sensor, which can compensate for the

    deformation caused by temperature changes. As shown in figure 3.2, the sensor is

    composed of two parts: the active part and the passive part. The active part contains

    the measurement fiber and measures the deformations between its two ends. The FBG

    sensor measures the deformation by transforming a static or dynamic distance

    variation into a change in reflected wavelength of a pre-stressed Fiber Bragg Grating

    that can be measured with the reading unit. The passive part is an optical cable which

    is insensitive to the deformations and used to connect the sensor to the connection

    box or reading unit.

  • 29

    Figure 3.1 Layout of sensors, cables and connection boxes

    Figure 3.2 FBG deformation sensor

    Optic cable Active part

    FBG Deformation Sensors FBG Deformation Sensors in crossed configuration Connection Box

    113’-6”

    28’- 4.5” 28’- 4.5”

    F

    E

    D

    C

    B

    A

    C.C.B 7’

  • 30

    A temperature sensor is integrated in the passive part of the FBG sensor, 4 in

    (10 cm) away from the active part. Each pair of crossed sensors shares the same

    temperature sensor, while each parallel sensor has its own temperature sensor.

    The MuST Reading Unit is a FBG demodulator based on the Micron Optics

    engine. It simultaneously measures the deformation of all the FBG sensors and

    therefore allows for dynamic testing to be performed using the system.

    The main technical characteristics of the system are listed below (Smartec,

    2004):

    • Average strain resolution: 0.2 μm (0.0002 mm/m)

    • Average strain repeatability: 2 μm (0.002 mm/m)

    • Measurement range 0.5 % in shortening, 0.75 % in elongation

    • Temperature resolution: 0.02°C

    • Average strain repeatability: 0.2°C

    • Frequency: 62.5 Hz (250/4)

    3.2 Sensor Labeling

    Each sensor has its own specific label according to its location. As shown in

    Table 3.1, each label consists of three letters or digits. The first letter represents the

    label of the girder, from A to F. The second letter represents the location of the sensor

    along the girder, at midspan, quarter span, or the end. The third letter represents the

    location of the sensor in the cross-section of the girder, at top or bottom. For the

    sensors in crossed configuration, the end close to the abutment is chosen to represent

  • 31

    the “top” and “bottom” position, as shown in Figure 3.3. For example, sensor “BMT”

    is located in girder B, at midspan in the top flange. The sensor labels are shown in

    Figure 3.3.

    Table 3.1 Sensor Label Description

    SYMBOL DESCRIPTION

    A

    B

    C

    D

    E

    F

    Girder A

    Girder B

    Girder C

    Girder D

    Girder E

    Girder F

    E

    Q

    M

    End

    Quarter span

    Midspan

    B

    T

    Bottom

    Top

  • 32

    Figure 3.3 Sensor labels

    3.3 Installation and Other Field Work

    All girders were prefabricated at Core slab Structures in Albuquerque, NM.

    Three girders were fabricated simultaneously on one long fabrication bed each week.

    The bed layouts for each week are shown in Figures 3.4 and 3.5.

    F

    E

    D

    C

    B

    A AMTAM

    BBMTBMB

    CMT CMB

    DMT DMB

    EMTEMB

    FMTFMB

    CQTCQB

    DQTDQB

    EQTEQB

    FQTFQB

    AEB AET

    BEB BET

    CEBCET

    DEB DET

    EEB EET

    FEB FET

  • 33

    Figure 3.4 Fabrication bed layout for the first week

    Figure 3.5 Fabrication bed layout for the second week

    Marked End Marked End

    Girder A Girder B

    Extension cables Computer and reading unit

    Marked End

    Girder C

    Girder F Girder D Girder E Marked End Marked End Marked End

    Computer and reading unit

    Extension cables

  • 34

    Figure 3.6 Fabrication bed

    All the sensors in girder A, B and C were installed on June 6 and 7. The sensors

    were placed along dummy rebars. A dummy rebar was placed for each longitudinal

    sensor and a dummy rebar was used for each crossed sensor. The dummy rebars for

    the crossed sensor were placed so the center of the cross was 8 ft (2.4 m) away from

    the marked ends. A four feet long level was used to make sure the dummy rebars

    were placed at a 45 degree angle. Figures 3.7 to 3.9 show the sensors and dummy

    rebars in the top flange, bottom flange, and crossed sensors respectively. The exact

    location of each sensor was measured after installing all the sensors and is shown in

    Table 3.2.

  • 35

    Figure 3.7 Sensor in the top flange

  • 36

    Figure3.8 Sensor in the bottom

    Figure 3.9 Crossed sensors

  • 37

    Table 3.2 Sensor location in girder A, B, and C (1 inch = 25.4 mm) Sensor Type Away from bottom/top Away from CL*

    AMB Parallel 2.36 in 2 in

    AMT Parallel 3.25 in 0

    AEB Cross

    AET Cross

    8 ft away from the end

    2’ 7” away from the bottom

    BMB Parallel 2.46 in 2 in

    BMT Parallel 2 in 0

    BEB Cross

    BET Cross

    8 ft away from the end

    2’ 6.5” away from the bottom

    CMB Parallel 2.36 in 2.36 in

    CMT Parallel 3.25 in 0

    CQB Parallel 2.75 in 0

    CQT Parallel 3 in 0

    CEB Cross

    CET Cross

    8 ft away from the end

    2’ 7” away from the bottom

    * On the side of the connection box

    The sensors were attached to the dummy rebars using plastic zipper fasteners.

    The optical cables were then guided to an outlet located in the top flange 5 ft (1.5 m)

    away from the girder end. All the sensors were tested before the forms were installed.

    During the test, the sensors were stretched if necessary to make sure the readings

    were in the range of 200 um/m to 1000 um/m. The sensors are capable of taking

    measurements in the range of -3500 um/m to 6500um/m, which is -0.0035 to

    0.0065 in strain. This is a good measurement range for concrete.

  • 38

    Figure 3.10 Cable outlet in the girder top flange

    The concrete of girder A, B and C was poured on June 13, 2004, starting at 1:15

    pm with a temperature at 109.4°F (43.0°C) and finished at 4:25 pm with a

    temperature at 106.3°F (41.3°C). Measurements were taken every one minute to

    monitor the girders during the pouring of concrete. Vibration of the concrete was

    provided using a vibrator attached on the outside of the forms. Twenty-four cylinder

    samples were taken during the pouring of girder B. The girders were covered

    immediately after the pouring.

  • 39

    The formworks were removed on June 14 in the morning. The strands were

    cut from 12:40 pm to 1:15 pm, starting from the top row to the bottom row. All

    strands were cut simultaneously at the ends of the bed and between the girders. Ten

    measurements were taken after the cut of each row. There were six rows of strands

    including the harped strands. After the cutting of all strands, the reading unit was set

    to take measurements every one minute until the girder was stabilized. The camber

    was measured at the mid-span of each girder and is shown in Table 3.3.

    Figure 3.11 Girders on the fabrication bed

  • 40

    Table 3.3 Camber after transfer on girder A, B, and C GIRDER CAMBER

    A 2.76 in (70.10 mm)

    B 2.95 in (74.93 mm)

    C 3.15 in (80.01 mm)

    The reading unit and switch were disconnected and the girders were

    transported to a secure location at the manufacturing site that afternoon. One

    connection box for each girder was permanently installed on the girder web under the

    top flange, as shown in Figure 3.12. All the sensor cables were connected to their own

    connection box in each girder. Each connection box had an exten