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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
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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
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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
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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,
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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.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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.
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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.
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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
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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.
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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
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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
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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.
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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
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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.
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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
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(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
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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.
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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
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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
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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
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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
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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
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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.
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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
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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
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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
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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.
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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
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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
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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.
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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”
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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.
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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’
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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
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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
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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
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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
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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.
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Figure 3.7 Sensor in the top flange
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Figure3.8 Sensor in the bottom
Figure 3.9 Crossed sensors
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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.
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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.
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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
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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