tavassoli arjang 201311 masc thesis
TRANSCRIPT
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BEHAVIOUR OF GFRPREINFORCED CONCRETECOLUMNS UNDER COMBINED AXIAL LOAD AND
FLEXURE
by
Arjang Tavassoli
A thesis submitted in conformity with the requirements
for the degree of Masters of Applied Science
Department of Civil Engineering
University of Toronto
Copyright by Arjang Tavassoli (2013)
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Behaviour of GFRP-reinforced concrete columns
under combined axial load and flexure
Arjang Tavassoli
Masters of Applied Science
Department of Civil Engineering
University of Toronto
2013
ABSTRACTThis study presents experimental results from nine large-scale circular concrete columns
reinforced with longitudinal and transverse glass fiber-reinforced polymer (GFRP) bars. These
specimens were tested under lateral cyclic quasi-static loading while simultaneously subjected
to constant axial load. Based on the measured hysteretic loops of moment vs. curvature and
shear vs. tip deflection relationships, a series of parameters related to ductility and flexural
strength are used to evaluate the seismic behavior of each column. The results showed that
concrete columns reinforced with GFRP bars have stable post-peak branches and can achieve
very high levels of deformability. Longitudinal GFRP bars maintained their stiffness at high
strains and transverse GFRP spirals provided increasing confinement for the entire duration of
the test without any spiral damage. The tests showed that, as an innovative material with
excellent corrosion resistance GFRP bars can be successfully used as internal reinforcement in
ductile concrete columns.
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ACKNOWLEDGEMENTSThis research project has come together thanks to the help from both individuals at the
University of Toronto and members of my family. First and foremost, I would like to express
my sincere gratitude to Professor Shamim A. Sheikh for his support and guidance throughout
this project and on completing this thesis.
I am pleased to be a part of Professor Sheikhs knowledgeable structural research group at the
University of Toronto and would like to thank the members of the group (Dr. Jingtao Liu, David
Johnson, Dr. Michael Colalillo, Douglas Getzlaf, Lisa Vint, Alireza Khavaran and Zahra
Kharal) who helped me with different stages of this project. Special thanks are due to Jingtao
Liu for his presence and assistance on both theoretical and experimental portions of the project
and to David Johnson who I have learnt a lot from over the last four years. I acknowledge the
help I received from Trevor Hrynyk and David Ruggerio during the course of this project. I
would also like to thank the undergraduate students (Kanwar Johal, Edvard Bruun and Max Ho)
who helped me in the construction phase of the project.
The outcome of this research would not have been possible without the help of the technical
staff of the structural laboratory and machine shop. I would like to express my appreciation to
Renzo Basset, Giovanni Buzzeo, John MacDonald, Xiaming Sun, Bryant Cook, Michel Fiss,
Bob Manson and Alan McClenaghan.
Lastly, and most importantly, I wish to thank my parents for sacrificing their life to assure a
bright future for their children. I would also like to thank my brother Arsalan, who has always
been there for me, during both high and low points in my life.
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TABLE OF CONTENTSABSTRACT .............................................................................................................................................. II
ACKNOWLEDGEMENTS .................................................................................................................... III
TABLE OF CONTENTS ........................................................................................................................ IV
LIST OF TABLES .................................................................................................................................VII
LIST OF FIGURES ............................................................................................................................. VIII
NOTATIONS ........................................................................................................................................ XIII
1. INTRODUCTION .............................................................................................................................1
1.1 GENERAL ......................................................................................................................................... 1
1.2 PROBLEM......................................................................................................................................... 3
1.3 RESEARCH OBJECTIVES................................................................................................................... 5
1.4 THESIS ORGANIZATION ................................................................................................................... 6
2. LITERATURE REVIEW .................................................................................................................7
2.1 STEEL-REINFORCED CONCRETE COLUMNS...................................................................................... 7
2.1.1 Ductility parameters ...............................................................................................................7
2.1.2 Effect of axial load .................................................................................................................8
2.1.3 Effect of transverse reinforcement ratio ................................................................................. 8
2.1.4 Effect of concrete strength ......................................................................................................9
2.2 GFRP-REINFORCED CONCRETE COLUMNS ....................................................................................13
2.2.1 General .................................................................................................................................13
2.2.2 Tobbi 2012 ............................................................................................................................ 15
2.2.3 De Luca 2010 ....................................................................................................................... 172.2.4 Choo 2006 ............................................................................................................................18
2.2.5 Alsayed 1999 ........................................................................................................................ 21
2.3 DESIGN AND CONSTRUCTION OF BUILDING STRUCTURES WITH FIBRE-REINFORCED POLYMERS
(CSA-S806) ........................................................................................................................................... 23
2.3.1 CSA-S806-02 ........................................................................................................................ 23
2.3.2 CSA-S806-12 ........................................................................................................................ 24
3. EXPERIMENTAL PROGRAM .................................................................................................... 26
3.1 GENERAL....................................................................................................................................... 26
3.2 MATERIAL PROPERTIES................................................................................................................. 27
3.2.1 Concrete ...............................................................................................................................27
3.2.2 Patching Material ................................................................................................................. 29
3.2.3 Glass Fiber Reinforced Polymer .......................................................................................... 30
3.2.4 GFRP and CFRP sheets ....................................................................................................... 34
3.2.5 Steel reinforcement ............................................................................................................... 34
3.3 CONSTRUCTION PROCESS.............................................................................................................. 35
3.3.1 Stub formwork ...................................................................................................................... 35
3.3.2 Stub cages .............................................................................................................................35
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3.3.3 Column cages ....................................................................................................................... 36
3.3.4 Anchors placement .............................................................................................................. 37
3.3.5 Column formwork ................................................................................................................. 37
3.3.6 Concrete casting ................................................................................................................... 39
3.3.7 Column repair ...................................................................................................................... 40
3.3.8 FRP wrapping ...................................................................................................................... 42
3.4 INSTRUMENTATION ....................................................................................................................... 433.4.1 Strain gauges ........................................................................................................................43
3.4.2 Linear variable differential transformers (LVDT) ............................................................... 45
3.4.3 Light emitting diode (LED) targets ...................................................................................... 46
3.5 TEST SPECIMENS............................................................................................................................ 48
3.6 TESTING......................................................................................................................................... 52
3.6.1 Test set up .............................................................................................................................52
3.6.2 Test procedure ...................................................................................................................... 53
4. EXPERIMENTAL RESULTS AND DISCUSSION .................................................................... 57
4.1 COUPON TEST RESULTS ON GFRPBARS........................................................................................ 57
4.2 ANALYTICAL CALCULATIONS ON UNCONFINED COLUMNS........................................................... 63
4.3 TEST OBSERVATIONS..................................................................................................................... 70
4.4 TEST RESULTS AND ANALYSIS .......................................................................................................82
4.4.1 Shear vs.tip deflection ............................................................................................................. 82
4.4.2 Moment vs. curvature ...............................................................................................................89
4.4.3 Spiral strains ............................................................................................................................95
4.4.4 Deflected shape ........................................................................................................................ 97
4.5 DUCTILITY PARAMETERS............................................................................................................ 103
4.6 MOST DAMAGED SECTION........................................................................................................... 108
4.7DISCUSSION.................................................................................................................................... 109
4.7.1 Bar buckling ........................................................................................................................... 1094.7.2 Effect of axial load.................................................................................................................. 111
4.7.3 Type of GFRP ......................................................................................................................... 114
4.7.4 Effect of amount of transverse reinforcement, spiral spacing and size .................................. 117
4.7.5 Comparison with steel-reinforced columns ............................................................................ 128
5. CONCLUSION AND RECOMMENDATIONS ......................................................................... 136
5.1 SUMMARY ...................................................................................................................................136
5.2 CONCLUSIONS ............................................................................................................................. 137
5.3 RECOMMENDATIONS FOR FUTURE WORK.................................................................................... 138
6. REFERENCES .............................................................................................................................. 140
APPENDICES ........................................................................................................................................ 144
APPENDIX A .........................................................................................................................................145
Glass transition temperature ........................................................................................................... 145
APPENDIX B .........................................................................................................................................148
Stub Formwork Design .................................................................................................................... 148
APPENDIX C .........................................................................................................................................154
Bar type B tension coupon test summary .................................................................................... 154
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Bar type C tension coupon test summary .................................................................................... 161
Bar type B compression coupon test summary ........................................................................... 167
Bar type C compression coupon test summary ........................................................................... 173
APPENDIX D .........................................................................................................................................177
Test Results (P-)............................................................................................................................. 177
Test Results (M-) ........................................................................................................................... 182
APPENDIX E ......................................................................................................................................... 187Strain variation in the spiral ........................................................................................................... 187
APPENDIX F .......................................................................................................................................... 196
Calculation of Ductility Parameters (,, , N, W).......................................................... 196
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LIST OF TABLES
Table 2-1: Steel-reinforced column database ............................................................................................. 11
Table 2-2: Tests results on GFRP bars (Almerich-Chulia et al, 2012).......14
Table 2-3: Results on GFRP- and Steel-reinforced square columns under axial load (Tobbi et al,
2012)...15
Table 2-4: Column properties and obtained results (De Luca et al., 2010)....17Table 2-5: Column group properties and obtained results (Alsayed et al., 1999) ......................................21
Table 3-1: Mechanical properties of LA repair mortar (BASF, 2007)....................................................... 29
Table 3-2: Mechanical properties of FRP sheets (Liu, 2013) .................................................................... 34
Table 3-3: Mechanical properties of two types of steel reinforcement ...................................................... 34
Table 3-4: Specimen details....50
Table 3-5: Specimen comparison ............................................................................................................... 51
Table 3-6: Number of direct comparisons.................................................................................................. 51
Table 4-1: Mechanical properties of GFRP straight bars and spirals in tension....58
Table 4-2: Mechanical properties of GFRP bars in compression...60
Table 4-3: Average glass transition temperatures for GFRP bars (Johal, 2013) ........................................ 61
Table 4-4: Modified nominal and nominal moment capacities for different GFRP bar types and differentaxial loads .................................................................................................................................................. 69
Table 4-5: Number of recorded cycles for column specimens..90
Table 4-6: Maximum measured spiral strain..96
Table 4-7: Ductility parameters................................................................................................................ 107
Table 4-8: Damaged region..108
Table 4-9: Euler buckling load, peak compressive load in the coupon and in the column ...................... 110
Table 4-10: Comparison of flexural strength enhancement in specimens...127
Table 4-11: Steel- vs. GFRP-reinforced column properties.....128
Table 4-12: Steel- vs. GFRP-reinforced column results .......................................................................... 128
Table C-1: Tensile mechanical properties of GFRP bar type B12 (Based on actual and nominal
diameter)...154
Table C-2: Tensile mechanical properties of GFRP bar type B 16 (Based on nominaldiameter)...157
Table C-3: Tensile mechanical properties of GFRP bar type B16 (Based on actual diameter) ............... 157
Table C-4: Tensile mechanical properties of GFRP bar type B 25 (based on nominal
diameter)...159
Table C-5: Tensile mechanical properties of GFRP bar type B25 (Based on actual diameter) ............... 159
Table C-6: Tensile mechanical properties of GFRP bar type C12 (Based on nominal
diameter)...161
Table C-7: Tensile mechanical properties of GFRP bar type C12 (Based on actual diameter) ............... 161
Table C-8: Tensile mechanical properties of GFRP bar type C16 (Based on nominal
diameter)...163Table C-9: Tensile mechanical properties of GFRP bar type C25 (Based on nominal
diameter)...............165Table C-10: Compressive mechanical properties of GFRP bar type B (Based on nominal
diameter).......167
Table C-11: Compressive mechanical properties of GFRP bar type B (Based on actual diameter) ........ 167Table C-12: Compressive mechanical properties of GFRP bar type C (Based on nominal diameter) .... 173
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LIST OF FIGURESFigure 2-1: Calculation of member and section ductility parameters (Sheikh and Khoury, 1993) .............. 7Figure 2-2: Load vs. drift ratio response of columns C100B60N25 (Left) and C100B130N25 (Right)
(Lgeron and Paultre, 2000).........................................................................................................................9
Figure 2-3: Moment vs. curvature response of columnsAS-18 (Left) and AS-18H (Right) (Sheikh et al.,
1994) .......................................................................................................................................................... 10Figure 2-4: Test setup to obtain the compressive response of GFRP bars (Deitz et al, 2003) ................... 13
Figure 2-5: Various tie configurations (Hany Tobbi, 2012) ...................................................................... 16Figure 2-6: Normalized axial stress vs. axial strain (Left), Dilation ratio vs. axial strain (Right) ............. 18Figure 2-7: Strength assumed for FRP bars (Choo et al., 2006) ................................................................20
Figure 2-8: Nominal moment-axial load interactions for Steel, AFRP, CFRP, and GFRP
(Choo et al., 2006) ......................................................................................................................................20Figure 2-9: Axial load vs. axial deformation for different column groups (Alsayed et al., 1999) ............. 22Figure 3-1: Concrete cylinder under compressive test ............................................................................... 28Figure 3-2: Compressive stress vs. strain relationship of concrete during column testing ........................ 28
Figure 3-3: Compressive stress vs. strain relationship for LA repair mortar .............................................30Figure 3-4: GFRP type C (Left), GFRP type B (Right) ......................................................................31
Figure 3-5: GFRP bars under tension test ..................................................................................................32Figure 3-6: GFRP bars under compression test ......................................................................................... 33Figure 3-7: Stub formwork .........................................................................................................................35
Figure 3-8: Circular wooden pucks for the correct placement of the column cage into the stub ............... 35Figure 3-9: Stub cage .................................................................................................................................36Figure 3-10: Column cage construction .....................................................................................................37Figure 3-11: Steel anchors ......................................................................................................................... 37Figure 3-12: Measuring the location of the 10 mm all threaded rods ........................................................ 38
Figure 3-13: Formwork before concrete casting ........................................................................................ 39Figure 3-14: Concrete casting .................................................................................................................... 40Figure 3-15: Columns P28-C-16-160, P42-B-12-160, and P28-B-12-50 (From left to right) ................... 40Figure 3-16: Column repair process ........................................................................................................... 41
Figure 3-17: Columns wrapped with FRP sheets and painted before testing ............................................. 42Figure 3-18: Strain gauge location on the longitudinal bars and spirals .................................................... 43Figure 3-19: Strain gauging the GFRP bars ............................................................................................... 45Figure 3-20: Location of the vertical LVDTs ............................................................................................ 46Figure 3-21: Location of the horizontal LVDTs and LED targets ............................................................. 46Figure 3-22: LED targets and the K610-CMM camera ............................................................................. 47
Figure 3-23: Specimen and cross section dimensions ................................................................................ 49Figure 3-24: Column Testing Frame (CTF) ............................................................................................... 52Figure 3-25: Installing steel plates at the ends of the specimen ................................................................. 53
Figure 3-26: Specimen in the CFT before testing ......................................................................................55Figure 3-27: Lateral displacement excursion protocol ............................................................................... 56
Figure 4-1: Tensile stress vs. strain relationship for GFRP bars used in this study ................................... 58
Figure 4-2: Compressive stress vs. strain relationship for GFRP bars used in this study .......................... 60Figure 4-3: Typical glass transition curve of a GFRP specimen (Johal, 2013) .......................................... 61
Figure 4-4: Cross section used for nominal sectional analysis .................................................................. 64Figure 4-5: Axial load-moment interaction curve using polar coordinate formulations (Everard, 1997) .. 64
Figure 4-6: Axial load-moment interaction curve using polar coordinate formulations (Davalath and
Madugula, 1987) ........................................................................................................................................65Figure 4-7: Layered cross section .............................................................................................................. 66
Figure 4-8: Axial load-moment interaction curve using layered analysis .................................................. 67Figure 4-9: Unconfined meoment vs. curvature responses for different bar types and axial loads ........... 69
Figure 4-10: P28-C-12-160 (Cycle 6, = 12 mm), P42-C-12-160 (Cycle 6, = 12 mm) ........................70
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Figure 4-11: Cover spalling in columns P28-C-12-50 and P28-C-12-160 after the 10thcycle ..................71Figure 4-12: Acceptable bond between the concrete and the LA repair mortar ........................................ 71
Figure 4-13: P28-C-12-50 (Cycle 35,L= 72 mm) ................................................................................. 73Figure 4-14: P28-C-12-50 (Most damaged region) .................................................................................... 73
Figure 4-15: P28-C-12-160 (cycle 24,L= 48 mm) ............................................................................... 74Figure 4-16: P28-C-12-160 (Most damaged region) .................................................................................. 74
Figure 4-17: P28-C-16-160 (cycle 24,L= 48 mm) ............................................................................... 75Figure 4-18: P28-C-16-160 (Most damaged region) .................................................................................. 75Figure 4-19: P28-B-12-50 (Cycle 35,L= 94 mm) ................................................................................. 76Figure 4-20: P28-B-12-50 (Most damaged region) .................................................................................... 76
Figure 4-21: P42-C-12-50 (Cycle 35,L= 72 mm) ................................................................................. 77Figure 4-22: P42-C-12-50 (Most damaged region) .................................................................................... 77
Figure 4-23: P42-C-12-160 (Cycle 25,L= 52 mm) ............................................................................... 78Figure 4-24: P42-C-12-160 (Most damaged region) .................................................................................. 78
Figure 4-25: P42-B-12-160 (Cycle 24,L= 48 mm) ............................................................................... 79Figure 4-26: P42-B-12-160 (Most damaged region) .................................................................................. 79
Figure 4-27: P42-B-16-160 (Cycle 25,L= 52 mm) ............................................................................... 80Figure 4-28: P42-B-16-160 (Most damaged region) .................................................................................. 80
Figure 4-29: P42-B-16-275 (Cycle 21,L= 44 mm) ............................................................................... 81Figure 4-30: P42-B-16-275 (Most damaged region) .................................................................................. 81Figure 4-31: Conversion from test set up used in this study to the cantilever column model ................... 83
Figure 4-32: Base shear calculation ........................................................................................................... 83Figure 4-33: Shear vs. tip deflection for column P28-C-12-50 .................................................................. 85Figure 4-34: Shear vs. tip deflection for column P28-C-12-160 ................................................................85
Figure 4-35: Shear vs. tip deflection for column P28-C-16-160 ................................................................86Figure 4-36: Shear vs. tip deflection for column P28-B-12-50 .................................................................. 86
Figure 4-37: Shear vs. tip deflection for column P42-C-12-50 .................................................................. 87Figure 4-38: Shear vs. tip deflection for column P42-C-12-160 ................................................................87Figure 4-39: Shear vs. tip deflection for column P42-B-12-160 ................................................................88
Figure 4-40: Shear vs. tip deflection for column P42-B-16-160 ................................................................88
Figure 4-41: Shear vs. tip deflection for column P42-B-16-275 ................................................................89
Figure 4-42: Moment vs. curvature for column P28-C-12-50 ................................................................... 91Figure 4-43: Moment vs. curvature for column P28-C-12-160 ................................................................. 91Figure 4-44: Moment vs. curvature for column P28-C-16-160 ................................................................. 92
Figure 4-45: Moment vs. curvature for column P28-B-12-50 ................................................................... 92
Figure 4-46: Moment vs. curvature for column P42-C-12-50 ................................................................... 93Figure 4-47: Moment vs. curvature for column P42-C-12-160 ................................................................. 93Figure 4-48: Moment vs. curvature for column P42-B-12-160 ................................................................. 94Figure 4-49: Moment vs. curvature for column P42-B-16-160 ................................................................. 94
Figure 4-50: Moment vs. curvature for column P42-B-16-275 ................................................................. 95Figure 4-51: Deflected shape of column P28-C-12-50 .............................................................................. 98Figure 4-52: Deflected shape of column P28-C-12-160 ............................................................................ 98Figure 4-53: Deflected shape of column P28-C-16-160 ............................................................................ 99
Figure 4-54: Deflected shape of column P28-B-12-50 .............................................................................. 99Figure 4-55: Deflected shape of column P42-C-12-50 ............................................................................100Figure 4-56: Deflected shape of column P42-C-12-160 ..........................................................................100Figure 4-57: Deflected shape of column P42-B-12-160 ..........................................................................101Figure 4-58: Deflected shape of column P42-B-16-160 ..........................................................................101Figure 4-59: Deflected shape of column P42-B-16-275 ..........................................................................102
Figure 4-60: Member ductility parameters ............................................................................................... 103
Figure 4-61: Procedure to obtain the displacement ductility factor () ............................................... 105Figure 4-62: Most damaged section/region .............................................................................................. 108Figure 4-63: Bar buckling in the compression zone................................................................................. 109
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Figure 4-64: Shear vs. tip deflection envelope curve for columns P28-C-12-50 and P42-C-12-50 ........ 112Figure 4-65: Shear vs. tip deflection envelope curve for columns P28-C-12-160 and P42-C-12-160 .... 112Figure 4-66: Moment vs. curvature hysteretic response for columns P28-C-12-50 and P42-C-12-50 .... 113
Figure 4-67: Moment vs. curvature hysteretic response for columns P28-C-12-160 and
P42-C-12-160113
Figure 4-68: Shear vs. tip deflection envelope curve for columns P28-B-12-50 and P28-C-12-50 ........ 115Figure 4-69: Moment vs. curvature hysteretic response for columns P28-C-12-50 and P28-B-12-50 .... 115
Figure 4-70: Shear vs. tip deflection envelope curve for columns P42-B-12-160 and P42-C-12-160.116Figure 4-71: Moment vs. curvature hysteretic response for columns P42-C-12-160 and
P42-B-12-160116
Figure 4-72: Shear vs. tip deflection envelope curve for columns P28-C-12-50 and P28-C-12-160..119
Figure 4-73: Shear vs. tip deflection envelope curve for columns P42-C-12-50 and P42-C-12-160..119
Figure 4-74: Shear vs. tip deflection envelope curve for columns P42-B-16-160 and P42-B-16-275.120
Figure 4-75: Moment vs. curvature hysteretic response for columns P28-C-12-50 and P28-C-12-160..120
Figure 4-76: Moment vs. curvature hysteretic response for columns P42-C-12-50 and P42-C-12-160..121
Figure 4-77: Moment vs. curvature hysteretic response for columns P42-B-16-160 and
P42-B-16-275121
Figure 4-78: Shear vs. tip deflection envelope curve for columns P28-C-12-160 and P28-C-16-160.123
Figure 4-79: Moment vs. curvature hysteretic response for columns P28-C-12-160 and
P28-C-16-160....123Figure 4-80: Shear vs. tip deflection envelope curve for columns P42-B-12-160 and P42-B-16-160.124
Figure 4-81: Moment vs. curvature hysteretic response for columns P42-B-12-160 and
P42-B-16-160124
Figure 4-82: Shear vs. tip deflection envelope curve for columns P42-B-12-160 and P42-B-16-275.126
Figure 4-83: Moment vs. curvature hysteretic response for columns P42-B-12-160 and
P42-B-16-275............................................................................................126
Figure 4-84: Hysteretic response of columns AS-19 and P42-B-16-160.129
Figure 4-85: Moment vs. curvature hysteresis response for columns AS-19 and P42-B-16-160131
Figure 4-86: Moment vs. curvature envelope response for columns AS-19 and P42-B-16-160..132
Figure 4-87: Shear vs. tip deflection hysteretic response of columns P27-NF-2 and P28-C-12-160..133
Figure 4-88: Shear vs. tip deflection envelope response of columns P27-NF-2 and P28-C-12-160134
Figure 4-89: Hysteretic response of columns P40-NF-6 and P42-C-12-160135Figure A-1: Heat flow vs. temperature for B12 spirals ............................................................................ 145Figure A-2: Heat flow vs. temperature for B16 spirals ............................................................................ 145Figure A-3: Heat flow vs. temperature for B25 high modulus straight bars ............................................ 146Figure A-4: Heat flow vs. temperature for C12 spirals ............................................................................ 146Figure A-5: Heat flow vs. temperature for C16 spirals ............................................................................ 147
Figure A-6: Heat flow vs. temperature for C25 straight bars ................................................................... 147Figure B-1: Stub formwork plan .............................................................................................................. 148Figure B-2: Wall A1................................................................................................................................. 149
Figure B-3: Wall A2................................................................................................................................. 149Figure B-4: Wall B ................................................................................................................................... 151
Figure B-5: Wall C ................................................................................................................................... 151
Figure B-6: Exterior plywood pieces ....................................................................................................... 153Figure C-1: Tensile stress vs. strain relationship for specimen B12-T-1 ................................................. 155
Figure C-2: Tensile stress vs. strain relationship for specimen B12-T-2 ................................................. 155
Figure C-3: Tensile stress vs. strain relationship for specimen B12-T-3 ................................................. 156Figure C-4: Tensile stress vs. strain relationship for specimen B16-T-1 ................................................. 157Figure C-5: Tensile stress vs. strain relationship for specimen B16-T-2 ................................................. 157Figure C-6: Tensile stress vs. strain relationship for specimen B16-T-3 ................................................. 158
Figure C-7: Tensile stress vs. strain relationship for specimen B25-T-1 ................................................. 159Figure C-8: Tensile stress vs. strain relationship for specimen B25-T-2 ................................................. 159Figure C-9: Tensile stress vs. strain relationship for specimen B25-T-3 ................................................. 160
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Figure C-10: Tensile stress vs. strain relationship for specimen C12-T-1 ............................................... 161Figure C-11: Tensile stress vs. strain relationship for specimen C12-T-2 ............................................... 161
Figure C-12: Tensile stress vs. strain relationship for specimen C12-T-3 ............................................... 162Figure C-13: Tensile stress vs. strain relationship for specimen C16-T-1 ............................................... 163
Figure C-14: Tensile stress vs. strain relationship for specimen C16-T-2 ............................................... 164
Figure C-15: Tensile stress vs. strain relationship for specimen C16-T-3 ............................................... 164Figure C-16: Tensile stress vs. strain relationship for specimen C25-T-1 ............................................... 165
Figure C-17: Tensile stress vs. strain relationship for specimen C25-T-2 ............................................... 166Figure C-18: Tensile stress vs. strain relationship for specimen C25-T-3 ............................................... 166Figure C-19: Compressive stress vs. strain relationship for specimen B25-C-1 ...................................... 168Figure C-20: Compressive stress vs. strain relationship for specimen B25-C-2 ...................................... 168Figure C-21: Compressive stress vs. strain relationship for specimen B25-C-3 ...................................... 169Figure C-22: Compressive stress vs. strain relationship for specimen B25-C-4 ...................................... 169
Figure C-23: Compressive stress vs. strain relationship for specimen B25-C-5 ...................................... 170Figure C-24: Compressive stress vs. strain relationship for specimen B25-C-6 ...................................... 170Figure C-25: Compressive stress vs. strain relationship for specimen B25-C-7 ...................................... 171Figure C-26: Compressive stress vs. strain relationship for specimen B25-C-8 ...................................... 171
Figure C-27: Compressive stress vs. strain relationship for specimen B25-C-9 ...................................... 172
Figure C-28: Compressive stress vs. strain relationship for specimen C25-C-1 ...................................... 174
Figure C-29: Compressive stress vs. strain relationship for specimen C25-C-2 ...................................... 174Figure C-30: Compressive stress vs. strain relationship for specimen C25-C-3 ...................................... 175Figure C-31: Compressive stress vs. strain relationship for specimen C25-C-4 ...................................... 175
Figure C-32: Compressive stress vs. strain relationship for specimen C25-C-5 ...................................... 176
Figure C-33: Compressive stress vs. strain relationship for specimen C25-C-6 ...................................... 176Figure D-1: Applied lateral load vs. displacement at load point for column P28-C-12-50 ..................... 177Figure D-2: Applied lateral load vs. displacement at load point for column P28-C-12-160 ................... 178Figure D-3: Applied lateral load vs. displacement at load point for column P28-C-16-160 ................... 178
Figure D-4: Applied lateral load vs. displacement at load point for column P28-B-12-50 ..................... 179
Figure D-5: Applied lateral load vs. displacement at load point for column P42-C-12-50 ..................... 179Figure D-6: Applied lateral load vs. displacement at load point for column P42-C-12-160 ................... 180Figure D-7: Applied lateral load vs. displacement at load point for column P42-B-12-160 ................... 180
Figure D-8: Applied lateral load vs. displacement at load point for column P42-B-16-160 ................... 181Figure D-9: Applied lateral load vs. displacement at load point for column P42-B-16-275 ................... 181Figure D-10: Moment vs. tip deflection for column P28-C-12-50 .......................................................... 182Figure D-11: Moment vs. tip deflection for column P28-C-12-160 ........................................................ 182
Figure D-12: Moment vs. tip deflection for column P28-C-16-160 ........................................................ 183Figure D-13: Moment vs. tip deflection for column P28-B-12-50 .......................................................... 183
Figure D-14: Moment vs. tip deflection for column P42-C-12-50 .......................................................... 184Figure D-15: Moment vs. tip deflection for column P42-C-12-160 ........................................................ 184Figure D-16: Moment vs. tip deflection for column P42-B-12-160 ........................................................ 185
Figure D-17: Moment vs. tip deflection for column P42-B-16-160 ........................................................ 185Figure D-18: Moment vs. tip deflection for column P42-B-16-275 ........................................................ 186
Figure E-1: Strain variation in the first spiral turn of specimen P28-C-12-50 ......................................... 187
Figure E-2: Strain variation in the second spiral turn of specimen P28-C-12-50 ....................................187Figure E-3: Strain variation in the first spiral turn of specimen P28-C-12-160 ....................................... 188
Figure E-4: Strain variation in the second spiral turn of specimen P28-C-12-160 .................................. 188
Figure E-5: Strain variation in the first spiral turn of specimen P28-C-16-160 ....................................... 189Figure E-6: Strain variation in the second spiral turn of specimen P28-C-16-160 .................................. 189Figure E-7: Strain variation in the first spiral turn of specimen P28-B-12-50 ......................................... 190Figure E-8: Strain variation in the second spiral turn of specimen P28-B-12-50 ....................................190
Figure E-9: Strain variation in the first spiral turn of specimen P42-C-12-50 ......................................... 191Figure E-10: Strain variation in the second spiral turn of specimen P42-C-12-50 .................................. 191Figure E-11: Strain variation in the first spiral turn of specimen P42-C-12-160 ..................................... 192
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Figure E-12: Strain variation in the second spiral turn of specimen P42-C-12-160 ................................ 192Figure E-13: Strain variation in the first spiral turn of specimen P42-B-12-160 ..................................... 193Figure E-14: Strain variation in the second spiral turn of specimen P42-B-12-160 ................................ 193Figure E-15: Strain variation in the first spiral turn of specimen P42-B-16-160 ..................................... 194
Figure E-16: Strain variation in the second spiral turn of specimen P42-B-16-160 ................................ 194
Figure E-17: Strain variation in the first spiral turn of specimen P42-B-16-275 ..................................... 195Figure E-18: Strain variation in the second spiral turn of specimen P42-B-16-275 ................................ 195
Figure F-1: Displacement ductility factor and lateral drift ratio calculation (P42-C-12-50) ................... 196Figure F-2: Curvature ductility factor calculation for column P42-C-12-50 ........................................... 197Figure F-3: Cumulative ductility ratio and work damage indicator calculation (P42-C-12-50) .............. 198
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NOTATIONSa = Distance from the center of the left hinge to the location of the applied lateral loadA = Core area of a spirally reinforced compression member measured to the center of the spiral
A = Total area of longitudinal FRP reinforcementA = Total area of FRP hoop reinforcementA = Gross area of the sectionA = Total area of longitudinal steel reinforcementb = Distance from the center of the right hinge to the location of the applied lateral loadB = Width of rectangular/square column cross section
c = Distance from the center of the left/right hinge to the stub end/column tipD = Diameter of a circular column cross sectionD = Actual diameter of the GFRP bar measured in the lab excluding the ribbed or sand coatedregion
D = Distance from the column-stub interface to the beginning of the most damaged regionD = Distance from the column-stub interface to the most damaged sectionD = Nominal diameter of the GFRP bar provided by the manufacturer excluding the ribbed or sandcoated region
E = Energy damage indicatorE = Modulus of elasticity of GFRP reinforcement based on actual propertiesE = Modulus of elasticity of FRP reinforcement in compressionE = Modulus of elasticity of FRP reinforcement in tensionE = Modulus of elasticity of GFRP reinforcement based on nominal properties
E = Modulus of elasticity of steel reinforcementf = Specified compressive strength of concretef = Design stress in the spiral, hoop, or rectilinear FRP reinforcement in a columnf = Specified yield strength of longitudinal steel reinforcementf = Specified yield strength of steel hoop reinforcement
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f = Peak strength of steel reinforcementf = Ultimate tensile strength of a FRP bar/sheetf = Ultimate compressive strength of a FRP barh = Cross-sectional dimension of column core (center to center of spiral)H = Column heightk = Effective length factork = Confinement coefficientk = Stiffness of hysteretic loop of shear vs. tip deflection at cycle i averaged in two directionsk = Stiffness of the shear vs. tip deflection envelope curveL = Shear span of the specimenL = Length of the most damaged sectionL = Un-braced length of the GFRP compression sampleM = Moment at the most damaged sectionM = Nominal moment capacity of the column sectionM, = Modified nominal moment capacity of the column sectionM = Maximum moment measured in the most damaged section during the test
N = Cumulative ductility ratioP = Applied axial loadP = Critical axial load found using Euler buckling equationP = Nominal axial load resistance at zero eccentricity
For steel-reinforced columns: P f(A- A) + fAFor FRP-reinforced columns: P= f(A- A) + 0.002 EA
P = Lateral load capacity of the specimenP = Peak axial loadP = Factored axial load resistance at zero eccentricityP, = Ultimate compressive load in the GFRP bar during the coupon testP, = Ultimate compressive load in the GFRP bar during the column test
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xv
S = Spacing of transverse reinforcement or the spiral pitcht = Thickness of a FRP sheetT = Glass transition temperatureV = Shear at the base of the columnV = Maximum shear measured at the base of the column (column-stub interface) during the testV = Lateral reaction at the right hingeV = Nominal shear capacityw = Area enclosed by the hysteretic loop of shear vs. tip deflection at cycle iW = Work damage indicator = Ratio of average stress in rectangular compression block to the specified concrete strength = Column tip deflection = Peak tip deflection at cycle i averaged in both directions = Theoretical yield deflection = Ultimate deflection, = Axial deformation at peak load, = Maximum axial deformation at failure
= Design lateral drift ratio = Applied lateral displacement %= GFRP spiral strain when the base shear has dropped to 80% of peak shear = Maximum measured GFRP spiral strain = Ultimate GFRP spiral strain measured from tensile coupon tests = Yield strain of steel reinforcement = Ultimate tensile strain of a FRP bar/sheet = Strain at initiation of strain hardening of steel reinforcement = Rupture strain of steel reinforcement = Displacement ductility factor = Curvature ductility factor
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= Ratio of volume of hoop transverse steel reinforcement to total volume of concrete core (centerto center of hoop reinforcement)
= Ratio of volume of hoop transverse FRP reinforcement to total volume of concrete core (centerto center of hoop reinforcement)
= Ratio of total area of reinforcing steel to gross concrete section
= Ratio of total area of reinforcing FRP to gross concrete section = First peak stress reached by concrete = Second peak stress reached by concrete = Stress in the GFRP bar calculated based on actual properties = Stress in the GFRP bar calculated based on nominal properties = Curvature at the most damaged section
= Theoretical yield curvature = Ultimate curvature
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INTRODUCTION
1
1.INTRODUCTION
1.1
General
The use of Fibre Reinforced Polymers (FRP) started in the construction industry as early as
1970s. However, it was not until 1990s that non-metallic bars started to replace steel bars as
internal reinforcement in concrete structures. The main reason for this reinforcement
transformation was the costly issue of corrosion in steel-reinforced concrete structures. Over the
last 20 years, there has been a significant rise in the quality and the quantity of composite
reinforcement around the world. With advances in manufacturing technology leading to an
increase in production volume, the cost of high-strength FRP reinforcement has decreased and it
has become more readily available in the market.
Corrosion has cost billions of dollars in damages to concrete structures and specifically bridges
around the world. Meisen and Banthia (2009) reported that approximately 160,000 bridges are
rated deficient in the USA and are in need of immediate retrofit while in Canada the number of
deficient bridges is estimated at about 10,000. In Ontario alone, the repair cost of deficient
bridges and highways has been estimated as 57 billion dollars (Ministry of Transportation,
2009). FRP, as a high-strength non-corrosive material, has proven over the last few years to be
an optimal replacement to steel reinforcement if designed properly. Table 1-1, taken from a
report on FRP reinforcement in concrete structures published by the American Concrete
Institute (ACI) 440 committee, provides an extensive list of advantages and disadvantages of
FRP reinforcement (ACI Committee 440, 2006). Another disadvantage of the FRP material
which is not mentioned in Table 1-1 is its limitation in terms of constructability. As opposed to
steel bars, FRP bars cannot be bent, deformed or welded on the construction site. In terms of
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INTRODUCTION
2
durability problems associated with FRP reinforcement, research suggests that the accelerated
chemical tests conducted on the bars in the laboratory environment do not represent the actual
concrete environment in the field. Field tests conducted by researchers on GFRP samples taken
from bridges resulted in the conclusion that there was no degradation of Glass Fibre Reinforced
Polymer (GFRP) bars in the structures exposed to natural environmental conditions for periods
of 5 to 8 years (Mufti et al. 2007). The last advantage listed in Table 1-1 has been added by the
author, while the goal of this study is to determine the validity of this statement.
Table11:AdvantagesandDisadvantagesofFRPreinforcement(ACICommittee440,2006)
Advantages of FRP reinforcement Disadvantages of FRP reinforcement
High longitudinal tensile strength (varies with
sign and direction of loading relative to fibres)No yielding before brittle rupture
Corrosion resistance (not dependant on a coating)Low transverse strength (varies with sign and
direction of loading relative to fibres)
NonmagneticLow modulus of elasticity (varies with type of
reinforcing fibre)
High fatigue endurance (varies with type of
reinforcing fibre)
Susceptibility of damage to polymeric resins and
fibres under ultraviolet radiation exposure
Lightweight (about 1/5 to 1/4 the density of steel)Low durability of glass fibres in a moist
environment
Low thermal and electric conductivity (for glass
and aramid fibres)
Low durability of some glass and aramid fibres
in an alkaline environment
*High compressive strength and ability to
undergo cyclic loading without damage?
High coefficient of thermal expansion
perpendicular to the fibres, relative to concrete
May be susceptible to fire depending on matrix
type and concrete cover thickness
* This is added by the author. The goal of this study was to investigate this statement.
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INTRODUCTION
3
1.2
Problem
Despite the advances in the quality of the FRP bars over the last few years, many designers are
still reluctant to replace steel with FRP as the main reinforcement in concrete members.
However, this hesitation has been addressed to a great degree in the case of reinforced concrete
beams and slabs with large volumes of data available from tests performed on large specimens
in different research institutions around the world. Sufficient experimental data has led to the
addition of a chapter on the design of fibre-reinforced structures in the Canadian Highway
Bridge Design Code (CSA-S6-06). GFRP bars are confidently being used in bridge decks and
barrier walls where the presence of de-icing salts and potential for corrosion is the highest.
Halls Harbour Wharf Bridge in Nova Scotia, Joffre Bridge in Quebec and Crowchild Trail
Bridge in Alberta are some examples of Canadian bridges in which GFRP is used as the main
reinforcement (Mufti et al. 2007).
Contrary to the current understanding of the GFRP bars in tension, the compressive response of
these bars is not well-understood. Therefore many design codes in North America such as the
ACI440 prevent designers from using GFRP bars in members under compression while CSA-
S6-06 does not have any provisions regarding this application. Also, few studies have been done
regarding the behaviour of concrete columns reinforced with GFRP bars under pure axial load
while no experimental data exists on the response of concrete columns reinforced longitudinally
and transversally with GFRP under combined axial load and flexure. Steel reinforcement used in
bridge piers is susceptible to corrosion as a result of exposure to chlorides splashed by the
ongoing traffic during winters. The health of the pier reinforcement is critical to the structural
performance of the bridge as a whole and the lack of verification studies regarding the
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INTRODUCTION
4
behaviour of GFRP reinforced columns under realistic loading eliminates the chance of
identifying a more sustainable solution to this problem.
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INTRODUCTION
5
1.3
Researchobjectives
The experimental data presented here is part of a comprehensive research program which has
been active at the University of Toronto for more than 30 years (Sheikh, 1978; Sheikh and
Uzumeri, 1980, 1982; Sheikh and Yeh, 1986; Sheikh and Khoury, 1993, 1997; Sheikh et al.,
1994; Bayrak and Sheikh, 1997; Sheikh and Yau, 2002; Iacobucci et al., 2003; Memon and
Sheikh, 2005; Ghosh and Sheikh, 2007; Sheikh and Li, 2007; Sheikh and Liu, 2012). All
columns tested previously had steel as longitudinal and transverse reinforcement. Some of the
later work was carried out on columns internally reinforced with steel and externally retrofitted
with FRP wraps. The objective in this study is to investigate the behaviour of circular concrete
columns internally reinforced with GFRP bars and spirals under combined axial load and
flexure. Nine large-scale concrete columns were tested under quasi-static lateral cyclic loading,
while simultaneously subjected to a constant axial compression simulating seismic loading.
Each specimen consisted of a 356 mm (14 in.) diameter and 1473 mm (58 in.) long column cast
integrally with a 508762813 mm (203032 in.) stub. The testing variables included axial
load level, type of GFRP (manufacturer), spiral reinforcement ratio, size and spacing.
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Cons
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993)
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LITERATURE REVIEW
8
2.1.2
Effectofaxialload
The level of axial load plays an important role in the behaviour of concrete columns especially
under seismic loading. As the axial load increases, the secondary effects become more
significant and therefore the column ductility decreases. This can easily be observed by looking
at the data presented in Table 2-1. For instance, the energy damage indicator for column S-2NT
is more than 10 times that of column S-1NT. These two columns are identical except that the
axial load on column S-1NT is twice the value for column S-2NT.
The Canadian concrete design handbook recommends the use of the following equation to
obtain the required amount of the spiral reinforcement in a concrete column.
Equation21 0.45( 1)
This equation does not take into account the level of axial load; however, for members subjected
to flexure and significant axial load the code recommends the use of the more general equation
given below to design the volumetric ratio of the circular hoop reinforcement.
Equation22 0.4
2.1.3
Effectoftransversereinforcementratio
Detailing in concrete columns plays a major role in the achieved ductility. The concrete
standards have strict provisions regarding spacing of the transverse reinforcement in columns.
Closely-spaced spirals or ties would increase the shear strength of the column, delay the
buckling of the longitudinal reinforcement and most importantly provide confinement to the
concrete core and therefore delay the crushing of the core. This statement can be verified from
the behaviour of columns C100B60N25 and C100B130N25 in Table 2-1. The former has spirals
spaced at 60 mm while the latter at 130 mm. Doubling the spiral spacing has caused the
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displ
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EVIEW
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18H and
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AS-18H
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umn.
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Figu
re23:Mom ntvs.curvaturerespons
10
ofcolumns1994)
S18(Left)
LI
andAS18H
ERATURE
Right)(Shei
EVIEW
khetal.,
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11
Table21:Steelreinforcedcolumndatabase
Specimen
Column
size
B or D
mm
Column
length
mm
MPa
Lateral steelLongitudinal
steelAxial
load
level
P/P0
m
Size at
spacing, mm
%
MPa
%
MPa
AS-3H [1]
305 1473
54.1 9.5 @ 108 1.68 507
2.44 507
0.59
AS-18H 54.7 12.7 @ 108 3.06 464 0.61
AS-20H 53.6 12.7 @ 76.2 4.30 464 0.61
A-17H 59.1 9.5 @ 108 1.68 507 0.62
AS-3 [2]
305
1473 33.2 9.5 @ 108 1.68 507
2.44 507
0.50
AS-17 2438 31.3 9.5 @ 108 1.68 507 0.63
AS-18 1473 32.8 12.7 @ 108 3.06 464 0.63
AS-19 1473 32.3 9.5/6 @ 108 1.30 457 0.39
ES-1HT [3]
305 1473
72.1 15M @ 95 3.15 463
2.58 454
0.50
AS-2HT 71.7 10M @ 90 2.84 542 0.36
AS-3HT 71.8 10M @ 90 2.84 542 0.50
AS-4HT 71.9 15M @ 100 5.12 463 0.50 S-1NT [4]
356 1473
40.1 9.5 @ 80 1.12
507 3.00 507
0.54
S-2NT 40.1 9.5 @ 80 1.12 0.27
S-3NT 39.2 9.5 @ 300 0.30 0.54
S-4NT 39.2 9.5 @ 300 0.30 0.27
D60-7-4-2 5/8-0.2P [5]
305 1070
53.7 12.7 @ 67 2.73 414
2.44 414
0.2
D60-7-3C-1 5/8-0.2P 50.8 9.5 @ 41.3 3.82 414 0.2
D60-15-4-2 5/8-0.2P 100.8 12.7 @ 67 2.73 414 0.2
D60-15-3C-1 5/8-0.2P 100.2 9.5 @ 41.3 3.82 414 0.2
D120-15-3C-2 5/8-0.2P 101.6 9.5 @ 67 2.36 828 0.2
D120-15-3C-1 5/8-0.2P 101.7 9.5 @ 41.3 3.82 828 0.2
D60-4-3C-2 5/8-0.2P 26.2 9.5 @ 67 2.36 414 0.2
D60-4-3C-2 5/8-0.4P 27.0 9.5 @ 67 2.36 414 0.4
AS-1NSS [6] 305 1473 42.4 9.5 @ 300 0.61 457 2.58 465 0.56 C100B60N15 [7]
305 2150
92.4 10M @ 60 4.26 391
2.15 470
0.15
C100B60N25 93.3 10M @ 60 4.26 404 0.30
C100B60N40 98.2 10M @ 60 4.26 418 0.42
C100B130N15 94.8 10M @ 130 1.96 391 0.15
C100B130N25 97.7 10M @ 130 1.96 404 0.28
C100B130N40 104.3 10M @ 130 1.96 418 0.40
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Specimen
Column
size
B or D
mm
Column
length
mm
MPa
Lateral steelLongitudinal
steelAxial
load
level
P/P0
Ma
mom
kNSize at
spacing, mm
%
MPa
%
MPa
C100S100N15 [8]
300 2150
109 10M @ 100 1.43 440
2.55 560
0.16 16
C100SH100N15 101 9.5 @ 100 1.00 425 0.16 17
C100S70N25 103 10M @ 70 2.04 440 0.27 20
C100SH70N25 97 9.5 @ 70 1.43 425 0.26 19
C100S37N40 100 10M @ 37 3.85 440 0.43 22
C100SH37N40 103 9.5 @ 37 2.71 425 0.43 23
P27-NF-1 [9]
356 1473 40
9.5 @ 150 0.60 496
3.01 490
0.27 20
P27-NF-2 9.5 @ 100 0.90 496 0.27 22
P40-NF-5 9.5 @ 300 0.30 496 0.40 18
P40-NF-6 9.5 @ 100 0.90 496 0.40 20
P40-NF-7 9.5 @ 75 1.20 496 0.40 23
P56-NF-10 9.5 @ 300 0.30 496 0.56 18
P56-NF-11 10M @ 100 1.22 450 0.56 20P56-NF-12 10M @ 75 1.63 450 0.56 19
AS-1NS [10]
305 1473
31.4
9.5 @ 300 0.61 457 2.58 465
0.33 18
AS-7NS 37.0 0.33 20
AS-8NS 42.3 0.56 16
CI4 [11]
260 1650
56 10 @ 120 1.24
400
1.5
400 0.15
98
CI8 54 10 @ 120 1.80 3.0 14
CS4 54 12 @ 70 3.10 1.5 10
CS8 53 10 @ 70 3.20 3.0 14
[1] (Sheikh et al., 1994), [2] (Sheikh and Khoury, 1993), [3] (Bayrak and Sheikh, 1997), [4] (Sheikh and Yau, 2002),
(Memon and Sheikh, 2005), [7] (Lgeron and Paultre, 2000), [8] (Paultre et al., 2009) [9] (Sheikh and Liu, 2012) [10]
(Hosseini et al., 2005)
* Total energy dissipated until failure
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LITERATURE REVIEW
14
with a high accuracy. It was also concluded that the compressive modulus of elasticity of GFRP
was approximately equal to its tensile stiffness (Deitz et al, 2003).
Researchers at Instituto de la Construccion Eduardo Torrojo CSIC (Spain) tested more than
500 GFRP bars to obtain certification (Almerich-Chulia et al, 2012). The bars were made by the
pultrusion process and contained 75% fiber by volume. Table 2-2 summaries the results
attained. The un-braced length of bars tested in compression was not reported by the authors.
Table22:TestsresultsonGFRPbars(AlmerichChuliaetal,2012)
Diameter
(mm)
Tensile
Strength (MPa)
Tensile modulus of
elasticity (GPa)
Compressive
strength (MPa)
Compressive modulus
of elasticity (GPa)
8 856 38.3 464 39.910 779 42.6 450 46.3
12 638 41.1 470 41.9
16 696 42.5 449 50.8
20 724 43.6 444 44.9
25 723 39.9 372 42.0
32 720 39.7 319 40.8
AVG 733 41.1 424 43.8
Results provided in Table 2-2 verify the conclusions attained by Wu and Dietz regarding the
compressive strength and the stiffness of GFRP bars. Despite the presence of these data, due to
the uncertainty in the compressive response of GFRP bars and their low modulus of elasticity,
usage of these bars in columns is not recommended by most design codes. The ACI code (ACI
440.1R-06) specifically deters designers from using GFRP bars as longitudinal reinforcement in
columns or as compression reinforcement in flexural members. The Canadian Highway Bridge
Design Code (CSA-S6-06) does not have any provisions on the use of GFRP bars in
compression members. The latest version of the Canadian code (CSA-S806-12), on the other
hand, allows for the use of GFRP bars in columns, but conservatively advises the designer to
take the strength of the bar in compression as zero. Further discussion on the evolution of the
Canadian code provisions regarding this area is provided in section 2.3.
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LITERATURE REVIEW
15
A few studies have been conducted on the behaviour of internally GFRP-reinforced concrete
columns under pure axial load. Nevertheless, no experimental work has been reported on the
response of these columns under combined axial load and flexure.
The following sections summarize the existing experimental and theoretical studies on GFRP-
reinforced concrete columns available in the scientific literature.
2.2.2
Tobbi2012
Eight square columns with a cross section of 350 350 mm and a height of 1400 mm were
tested under concentric loading. One control specimen with no reinforcement, two steel-
reinforced columns and five GFRP-reinforced columns made up the eight specimens tested
(Tobbi et al, 2012). Table 2-3 summarizes the specimen details along with a few results.
Table23:ResultsonGFRP andSteelreinforcedsquarecolumnsunderaxialload(Tobbiet
al,2012)
Specimen Bar typeLongitudinal
reinforcement
Transverse
reinforcement
Tie spacing
(mm)
C-P-0-00 --- --- --- --- 0.94 ---
C-S-1-330 Steel 8 M15 M10 ties 330 (13.0) 0.98 ---C-S-1-120 Steel 8 M15 M10 ties 120 (4.72) 1.05 1.35
C-G-1-120 GFRP 8 No.19 No.13 ties 120 (4.72) 0.98 1.23
C-G-1A-120 GFRP 8 No.19 No.13 ties 120 (4.72) 1.00 1.21
C-G-2-120 GFRP 8 No.19 No.13 ties 120 (4.72) 1.00 1.27
C-G-3-120 GFRP 12 No.16 No.13 ties 120 (4.72) 0.98 1.36
C-G-3-80 GFRP 12 No.16 No.13 ties 80 (3.15) 1.02 1.68
Different tie configurations as shown in Figure 2-5 were used to investigate their effectiveness
for concrete core confinement (Tobbi et al, 2012). In Table 2-3, normalized first and second
peak stresses (, )relative to the compressive strength of each column are reported. It canbe seen that configuration 3 is the most effective way of confining the column core due to the
presence of more closely spaced longitudinal bars.
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The
resea
1
2
3
4
The
With
peak
foun
following c
rch in this a
- GFRP ca
-
The stren
GFRP-re
-
In calcul
stress in t
predictio
- GFRP b
transvers
xial capaci
no confine
strength. T
by multi
Figure2
nclusions
rea (Tobbi e
effectivel
gth reductio
nforced col
ting the axi
he longitudi
s to experi
rs can be
reinforce
y of a GFR
ent effects
herefore th
plying the
5:Varioust
ere made
t al, 2012):
be used as
n factor of
mns
al capacity
nal GFRP b
ental resul
sed as mai
ent is used
-reinforce
the colum
compressi
concrete s
16
econfigurat
y the autho
transverse r
.85 used fo
f a GFRP-r
ars as 35%
s
reinforce
column is
reaches its
e stress in
rain corres
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rs while the
inforceme
steel-reinf
einforced c
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omposed o
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LI
obbi,2012)
y indicated
t in column
rced colum
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ty when the
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the peak
ERATURE
the need fo
s
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at the pea
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EVIEW
r further
opted to
king the
to close
ely tied
GFRP.
aches its
load is
by the
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The
obse
in ag
the
speci
meas
1
2
3
Cho
reinf
igure26:N
Poisson rat
ve that unti
reement wi
oisson rati
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ured before
- At low l
very simi
- The cont
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-
Further r
under axi
2.2.4
C
(2006) co
orced with l
rmalizedax
o vs. the a
l a strain of
h the typica
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nd B-3 wh
failure. The
ngitudinal
lar to that o
ibution of
aded colum
esearch is
al load and
oo2006
ducted a st
ongitudinal
ialstressvs.
ial strain
0.0025 all c
l value for
significantl
re the resp
following c
einforceme
steel reinfo
GFRP bars
. (P0= 0.85
eeded to u
lexure
dy that foc
FRP bars. F
18
axialstrain(
or all the c
olumns mai
oncrete. As
y for colu
nse was m
onclusions
nt ratios, th
rced colum
can be neg
fc(Ag A
derstand t
used on the
or different
Left),Dilati
olumns are
ntain a Pois
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ere made
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lected whe
rp)).
e behavio
theoretical
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LI
nratiovs.a
shown in
son ratio of
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ide tie spa
ilation rati
y the autho
of GFRP re
calculatin
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behaviour
nt ratios, th
ERATURE
ialstrain(R
igure 2-6.
around 0.2
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s:
inforced co
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e moment-a
EVIEW
ight)
We can
which is
initiates,
ver, for
.9 were
umns is
ty of an
columns
columns
ial load
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LITERATURE REVIEW
19
interaction curves were calculated for different FRP bar types. In the analysis, the following
assumptions were made (Choo et al., 2006):
1- A parabolic relationship until the peak strain and linear response after peak for concrete
in compression
2- The strength of concrete in tension was ignored in the analysis
3- Linear elastic response for FRP bars was assumed in both tension and compression.
Since the authors were uncertain regarding the response of FRP bars in compression, the
compressive strength as recommended by Deitz was taken as half of the tensile strength,
while various modulus of elasticity ratios were used in the analysis
4- Linear strain profile was assumed through the height of the section during bending
5- Perfect bond was assumed between reinforcement and surrounding concrete
6- Confinement effects from transverse reinforcement were not included in this study
Stress vs. strain relationships for different FRP bars used in this study are shown in Figure 2-7.
The moment-axial load interaction curves were calculated for a rectangular section using a
crushing concrete strain of 0.003 and a compressive strength of 35 MPa. Figure 2-8 shows these
curves for grade 60 steel, AFRP, CFRP and GFRP. Moment and axial load are normalized using
the following expressions:
Equation23 =
Equation24 =
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Figure2
Figure27
8:Nominal
:Strengthas
omentaxia(
20
sumedforF
loadinteraChooetal.,2
Pbars(Cho
tionsforSte006)
LI
oetal.,2006
el,AFRP,CF
ERATURE
)
P,andGFRP
EVIEW
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LITERATURE REVIEW
21
It is evident that steel-reinforced columns exhibit a balance point since steel reaches its yield
strain at the same time as concrete reaches its peak strain. However, FRP-reinforced columns do
not show a balance point and for reinforcement ratios equal to or greater than 3%, moment
resistance increases as the axial load decreases from maximum to zero. For FRP-reinforced
columns with low reinforcement ratios, there is potential for brittle tension failure. In other
words, at low axial loads the FRP bars can reach their ultimate tensile strength before concrete
in compression crushes. This has to be noted by the designers and authors believed that the ACI
318-05 reinforcement ratio limits needed to be adjusted for columns reinforced with FRP bars
(Choo et al., 2006). Ignoring the contribution of FRP bars in compression, as recommended by
many codes, is conservative and further research is needed in this area.
2.2.5
Alsayed1999
Fifteen concrete columns with a cross sectional dimensions of 450 250 mm and a height of
1200 mm were tested under concentric axial compression using an Amsler testing machine with
a capacity of 10,000 kN (Alsayed et al., 1999). Columns were divided into five groups of three
specimens each. The first group did not have any reinforcement while the other four groups had
steel/GFRP as longitudinal and transverse reinforcement as seen in Table 2-5 which shows the
details of the specimens and some of the results.
Table25:Columngrouppropertiesandobtainedresults(Alsayedetal.,1999)
Groupf'c
(MPa)
Longitudinal
Reinforcement
Transverse
Reinforcement
Max Load
Measured
(kN)
Overall
shortening
(mm)Quantity Type Quantity TypeA 38.6 0 - 0 - 2997 3.54
B 38.3 6 16 mm Steel 6 @ 250 Steel 3681 3.99
C 38.8 6 16 mm Steel 6.35 @ 250 GFRP 3380 4.54
D 39.0 6 15.7 mm GFRP 6 @ 250 Steel 3285 4.14
E 38.5 6 15.7 mm GFRP 6.35 @ 250 GFRP 3301 3.84
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The l
and
stiff
confi
achi
The
capa
GFR
reinf
failu
bars.
The
the c
oad vs. def
showed a
ess of the
ning the col
ved was ne
authors co
ity by 13%
P results in
orced speci
e for GFR
It is not cl
atio of un-
olumn is 16
igure29:A
rmation res
less stiff b
FRP ties c
umn core a
gligible for
cluded that
and conver
a 10% loss
ens failed
-reinforced
ar what the
raced lengt
which indic
ialloadvs.
onses for a
ehaviour th
ompared to
early stage
all column
replacing
ting the tra
in axial ca
y buckling
columns
authors m
over diam
ates the like
xialdeform
22
ll the colum
an groups
that of the
s of loading
groups due
steel bars
sverse rein
acity of th
of the steel
as initiated
an by the
eter for the
lihood for b
tionfordiff
n groups ar
and D, w
steel ties. S
than GFRP
to the low
ith GFRP
orcement f
e column (
bars at the
by concret
reakage of
longitudina
uckling.
rentcolum
LI
shown in
ich could
teel ties we
ties. Howe
transverse
bars in col
om steel to
lsayed et a
id-height
e crushing
the GFRP
GFRP bar
groups(Als
ERATURE
igure 2-9.
e due to t
re more eff
er, the con
reinforcem
umns redu
the same a
l., 1999). T
f the colu
nd breakag
ars in com
in the mid-
ayedetal.,1
EVIEW
roups C
e lower
ctive in
inement
nt ratio.
es their
ount of
e steel-
n, while
e of the
ression.
eight of
999)
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LITERATURE REVIEW
23
2.3Design and construction of building structures withfibre
reinforcedpolymers(CSAS806)
The Canadian code has gone through considerable changes regarding the use of FRP bars in
concrete structures over the last few years. These changes are more visible in terms of
compression members and members under combined axial load and flexure. This section briefly
summarizes code provisions in 2002 and introduces adjustments and additions made in 2012.
Since circular columns are used in this research study, only provisions regarding the use of
spirals are discussed here.
2.3.1
CSAS80602
Clause 8.4.3.1 states that FRP reinforcement shall not be used as longitudinal reinforcement in
members subjected to compressive axial load and flexure. FRP can be used as transverse
reinforcement if the following limitations are taken into account (Canadian Standards
Association, 2002).
For spirally reinforced columns (Clause 8.4.3.2):
- Spiral reinforcement shall have a diameter of at least 6 mm
- Pitch of the spiral shall not exceed 1/6 of the core diameter of the column
- Clear spacing between the successive turns of the spirals must be between 25 and 75 mm
- The volumetric spiral ratio must not be less than the value given by:
Equation25 =0.6
( 1)
Where,
Equation26 = ()+
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LITERATURE REVIEW
24
0.2 and
1 0.3
FRP is not permitted to be used as longitudinal reinforcement in columns in this code and FRP
reinforcement in the compression zone shall be deemed to provide no compressive resistance in
design (Clause 8.6.2). For structures in seismic zones, the transverse FRP reinforcement shall be
larger of the amounts given by Eq. 2.5 and Eq. 2.7 (Clause 12.7.1):
Equation27 =14s
( 1)
is the design lateral drift ratio which shall not be less than 3%. Transverse reinforcement
spacing shall not be greater than the minimum of of the minimum member dimension, 150
mm and 6 times the diameter of the smallest longitudinal bar. According to the requirements of
clause 8.4.3.2, k, the confinement coefficient, is equal to 1 for circular hoops or spirals.
2.3.2
CSAS80612
In the ten years between the 2002 to 2012 codes, research was conducted around the world and
specifically in Canada on GFRP-reinforced concrete structures yielding positive results
regarding the behaviour of GFRP-reinforced columns. The Canadian code in 2012 thus relaxed
the stringent condition on using GFRP bars in compression members. Some of the changes in
the 2012 code are discussed below.
CL 8.4.3.1 states that the longitudinal FRP reinforcement may be used in members subjected to
compressive axial load and flexure. However, the code still conservatively states that strength
and stiffness of FRP bars in compression shall be ignored in design (Canadian Standards
Association, 2012). In clause 8.4.3.7, the code prevents the designers from using a longitudinal
reinforcement ratio of less than 1% in compression members to avoid the brittle tension failure
discussed earlier in Section 2.2.4.
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LITERATURE REVIEW
25
The volumetric ratio of spiral reinforcement is found using the equation below:
Equation28 =
( 1)
Where,
Equation29 Although the reduction factor of 0.6 is removed here compared to Eq 2.5 of the 2002 code, the
stress in the spiral () has been increased from 0.004 to 0.