influence of soil pile interaction on...
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INFLUENCE OF SOIL PILE INTERACTION ON
SEISMIC BEHAVIOR IN SANDY CONDITION
MAHDY KHARI
UNIVERSITI TEKNOLOGI MALAYSIA
INFLUENCE OF SOIL PILE INTERACTION ON
SEISMIC BEHAVIOR IN SANDY CONDITION
MAHDY KHARI
A thesis submitted in fulfilment of the
requirements for the award of the degree of
Doctor of Philosophy (Civil Engineering)
Faculty of Civil Engineering
Universiti Teknologi Malaysia
FEBRUARY 2014
iii
TO MY PARENTS
TO MY LOVELY WIFE
TO MY SONS-POUYA& PARHAM
iv
ACKNOWLEDGMENT
I would like to express my sincere appreciation and gratitude to many
individuals who have contributed towards my understanding and thoughts. In
particular, I would like to first thank my main supervisor, Professor. Dr. Khairul
Anuar Kassim, for his guidance and support during the course of my research. I
am also very thankful to my co-supervisors Professor Dr. Azlan Bin Adnan and
Associate Professor Dr. Ramli Nazir for their guidance, advices and motivation.
Without their continued support and interest, this thesis would not have been the
same as presented here.
I wish to take the opportunity to extend my most sincere gratitude to my
family for their priceless support and confidence in me without which I would
never see this moment. I hereby would like to express my love and deep
appreciation to my mother and my father for every single day that they did not
have me beside them. Most significantly, I would like to give my greatest thanks
to my lovely wife and two sons, Pouya and Parham, during my doctoral study.
Without my wife, I would not be able to achieve or enjoy these successes. Last
but not least, I would like to praise the almighty ALLAH for giving me the
strength to face different challenges in life.
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ABSTRACT
Damages of structures supported by deep foundations due to complete or partial collapse have demonstrated paramount importance of the understanding of Soil-Pile Interaction (SPI). Kinematic interaction is due to the presence of pile foundation in the ground. Several methods are available to determine the kinematic interaction. Among these approaches, the method of Beam on Nonlinear Winkler Foundation (BNWF) is widely used in research practices. In the BNWF method, soil and pile are modeled as nonlinear springs and linear finite elements, respectively. Stiffness coefficient of spring is evaluated based on load-transfer approach, often known as p-y curve method. On the other hand, the pile group and the single pile behavior are usually different owing to the impacts of the pile-to-pile interaction known as shadowing effects. Shadowing effects are the condition where there is an overlapping of the stress zones. The p-y curve of single pile can be used in pile group based on p-multiplier concept. Many investigators have developed p-y curves for sandy and clayey soils. However, these developed curves do not account some parameters such as relative density of sandy soil and side friction. This research has developed a new p-y curve for single pile under lateral loading through a comprehensive experimental investigation on Johor Bahru Sand. A good estimation of soil properties in the laboratory was required to simulate natural soil condition. In this study, sand samples prepared using new Mobile Pluviator designed to achieve of the desired relative densities ranging from 10% to 98%. A series of 12 different configurations of piles groups investigated in loose and dense sandy conditions to evaluate the piles interaction effects. The p-y multiplier factor was determined for the piles in the group based on distribution of load applied among the pile groups. The results of different configurations of pile group showed that the ultimate lateral load increased by 53% in increasing of spacing center-to-center piles (s) from 3D to 6D (D=pile diameter) owing to the reduction of pile group interaction effects that improve the performance of the pile group efficiency. A ratio of s/D more than 6 was large enough to eliminate the effects of pile group interaction. The new p-y curve exhibits a lower initial stiffness compared to the p-y curves from previous researchers. The maximum values of displacement and seismic acceleration of the structure occurred almost at the same time for existing and new p-y curves, but the new p-y curve can determine the seismic behavior under the strong earthquakes more accurate than the existing curves because of the higher ultimate lateral resistance.
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ABSTRAK
Kerosakan struktur-struktur yang disokong oleh cerucuk asas dalam yang
disebabkan oleh keruntuhan sepenuhnya atau keruntuhan separa menunjukkan bahawa adalah amat penting untuk memahami Interaksi antara Tanah-Cerucuk (Soil-Pile Interaction-SPI). Interaksi Kinematik dalam SPSI adalah disebabkan oleh kehadiran cerucuk asas di dalam tanah. Beberapa kaedah boleh digunakan untuk mengenalpasti interaksi kinematik berkenaan. Antara kaedah-kaedah ini, Kaedah Rasuk pada Asas Bukan Linear Winkler (Beam on Nonlinear Winkler Foundation-BNWF) merupakan kaedah yang paling meluas digunakan dalam kajian. Dalam Kaedah BNWF, tanah dimodelkan sebagai spring bukan linear manakala cerucuk pula dimodelkan sebagai elemen terhingga linear. Pekali kekukuhan dinilai berdasarkan pendekatan pemindahan beban, kerapkali dikenali sebagai kaedah lengkungan p-y. Sifat cerucuk berkumpulan dan cerucuk tunggal selalunya berbeza disebabkan kesan bayang disebabkan interaksi dalam cerucuk berkumpulan. Kesan bayang ini merupakan satu keadaan di mana terdapat pertindihan zon-zon tekanan. Lengkungan p-y untuk satu cerucuk tunggal boleh digunakan untuk cerucuk berkumpulan berdasarkan konsep pendaraban beban, p. Ramai penyelidik telah membina lengkungan p-y untuk tanah berpasir dan tanah liat. Walaubagaimanapun, lengkungan-lengkungan ini tidak mengambil kira ketumpatan relatif dan geseran sisi tanah berpasir. Kajian ini telah menghasilkan satu lengkungan p-y baru untuk cerucuk tunggal di bawah bebanan mengufuk melalui kajian eksperimen yang komprehensif pada pasir di Johor Bahru. Satu anggaran yang tepat berkenaan sifat-sifat tanah dalam makmal diperlukan untuk mengsimulasikan keadaan tanah yang semula jadi. Dalam kajian ini, penyediaan sampel pasir dilakukan menggunakan Mobile Pluviator yang direka khas bagi mencapai ketumpatan relatif antara 10% ke 98%. Satu siri yang terdiri dari 18 konfigurasi berbeza cerucuk berkumpulan dalam pasir yang longgar dan padat dikaji untuk menilai kesan interaksi dalam cerucuk berkumpulan. Faktor pendarab p-y untuk cerucuk-cerucuk di dalam kumpulan dikenalpasti berdasarkan agihan beban antara cerucuk berkumpulan berkenaan. Keputusan dari konfigurasi yang berbeza menunjukkan bahawa beban mengufuk muktamad meningkat sebanyak 53% dalam peningkatan jarak pusat-ke-pusat cerucuk dari 3D kepada 6D (D=garispusat cerucuk) disebabkan oleh pengurangan kesan interaksi cerucuk berkumpulan yang meningkatkan keberkesanan cerucuk berkumpulan berkenaan. Nisbah s/D melebihi 6D adalah cukup besar untuk menyingkirkan kesan-kesan cerucuk berkumpulan. Lengkungan p-y baru yang dihasilkan mempamerkan nilai pekali kekukuhan awal yang lebih rendah berbanding lengkungan-lengkungan p-y daripada penyelidik-penyelidik terdahulu. Lengkungan p-y yang lama dan baru menghasilkan nilai pesongan dan pecutan seismik yang sama tempohnya bagi sesebuah struktur. Lengkungan p-y yang baru walaubagaimana pun mampu menghasilkan sifat seismik yang lebih tepat dibawah gegaran yang kuat berbanding lengkungan p-y yang lama kerana mampu mengambil kira rintangan sisi muktamad yang lebih tinggi.
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TABLES OF CONTENTS
CHAPTER TITLE
PAGE
DECLARATION ii
DEDICATION iii
ACKNOWLEDGMENT iv
ABSTRACT v
ABSTRAK vi
TABLE OF CONTENTS vii
LIST OF TABLES x
LIST OF FIGURES xi
LIST OF SYMBOLS xvii
LIST OF APPENDICES xx
1 INTRODUCTION 1
1.1 Background of the Study 1
1.2 Statement of the Research 3
1.3 Objectives of the Study 6
1.4 Scope of the Study 6
1.5 Significance of the Study 7
1.6 Organization of Thesis 8
2 LITERATURE REVIEW 9
2.1 Introduction 9
2.2 Analytical Methods of Soil Pile Interaction 10
2.2.1 BNWF Method 11
2.2.2 Pile Group Effect 26
2.2.3 Previous Analytical Methods of Soil Pile Interaction 33
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2.2.4 Free-Field Site Response Analysis 39
2.2.5 Definition of Earthquake 42
2.2.6 SPI in the Superstructures using the BNWF Method 44
2.3 Experimental Methods of Soil Pile Interaction 51
2.3.1 Experimental Tests on Pile under Lateral Loading 52
2.4 Review of Sand Samples’ Preparation 60
2.5 Summary 64
3 RESEARCH METHODOLOGY 65
3.1 Introduction 65
3.2 Research Instruments 66
3.2.1 Experimental Modeling 69
3.2.2 New p-y Curves 75
3.2.3 Numerical Modeling 76
3.3 Data Analyses 78
4 SAND SAMPLES’ PREPARATION USING MOBILE
PLUVIATOR 80
4.1 Introduction 80
4.2 Mobile Pluviator Apparatus 81
4.3 Sand Properties and Testing Procedure 84
4.4 Results of the Tests Conducted 86
4.5 Summary 93
5 PILE SPACING EFFECTS UNDER LATERAL LOADING 94
5.1 Introduction 94
5.2 Test Equipment 95
5.2.1 Soil Tank 96
5.2.2 Soil Properties 97
5.2.3 Instrumentation and Lateral Loading Device 99
5.2.4 Pile and Pile Cap 102
5.3 Soil Sample Preparation 104
5.4 Test Procedure 105
5.5 Results and Discussion 108
5.6 Ultimate Lateral Resistance 114
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5.7 Group Efficiency 116
5.8 Summary 120
6 DEVELOPMENT OF p-y CURVES OF LATERALLY LOADED
PILES 121
6.1 Introduction 121
6.2 Experimental Work 121
6.3 Model Pile and Instrumentation 122
6.4 Test Procedure 126
6.5 Results and Discussion 127
6.6 Development new p-y Curve 134
6.7 Comparisons with Existing p-y curves 140
6.8 p-multipliers Factor 143
6.9 Summary 146
7 NUMERICAL MODELING OF SEISMIC BEHAVIOR OF
SUPERSTRUCTURE USING NEW p-y CURVES 147
7.1 Introduction 147
7.2 Model Description 147
7.3 Pile and Soil Stiffness Modeling 150
7.4 Acceleration time histories at Nodes Level 154
7.5 Results of Analysis 157
7.6 Summary 175
8 CONCLUSIONS AND RECOMMENDATIONS 176
8.1 Introduction 176
8.2 Conclusions 176
8.3 Recommendations for Future Research 179
REFERENCES 180 Appendices A-C 189-207
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LIST OF TABLES
TABLE NO.
TITLE PAGE
2.1 Criteria for Pile Behavior 14 2.2 Active Length under Dynamic Loading for
Preliminary Estimations (after Dobry and Gazetas, 1984)
14 2.3 Pile Cross Section Shape Factor (after Dobry and
Gazetas, 1984)
14 2.4 Typical values of ε50 17 2.5 Representative Values for Clays 17 2.6 Summary of procedure in Sand Curves
(after Reese et al., 1974)
19 2.7 Summary of procedure in developing c-φ Soils 22 2.8 Experimental Values of β to the average Shear Strain 26 2.9 Summary of the full scale Pile Group tests and the
back calculated p-multipliers (after Rollins et al. 2006b)
30 2.10 Full scale test performed by Rollins et al. (2006a) 31 3.1 The tests performed on Group Piles 71 3.2 The tests performed in Single Pile 74 4.1 Properties of the three types of testes soils 86 5.1 Ultimate Lateral Load in Experimental Tests 115 6.1 Gauge constants obtained from the tests 126 6.2 P-multipliers in Model Groups 144 7.1 Peak Acceleration in the based fixed structure 159 7.2 Peak Displacement of the structure 162
xi
LIST OF FIGURES
FIGURE NO.
TITLE PAGE
1.1 Collapse Twenty nine mile River Bridge supported on Timber piles in the 1964 Alaskan Earthquake
3
1.2 Effect of Soil-Structure Interaction on Seismic Coefficient for Base Shear
4
1.3 Comparison of 1985 Mexico City Earthquake SCT Response Spectra with NEHRP (1997) Code Recommendations
5 1.4 Free Field Response Analysis 5 2.1 BNWF method in soil-pile interaction 12 2.2 Uncoupled and coupled methods
(after Abghari and Chai, 1995)
13 2.3 Contrast of Flexible and Rigid behavior of Pile; (a)
Rigid (b) Flexible (after Kulhawy and Chen,1995)
13 2.4 Definition of p-y curve concept 15 2.5 Characteristic shape of p-y curves in soft clay,(a) static
loading; (b)cyclic Loading (after Matlock, 1970)
16 2.6 Characteristic shape of p-y curves in stiff clay (a)
Static loading; (b) cyclic loading (after Reese et al., 1975)
18 2.7 Characteristic shape of p-y curve in sand
(after Reese et al., 1974)
19 2.8 Values of coefficients Ās , Āc, Bs and Bc , 20 2.9 Coefficients used in the API sand curves
(Ins. API, 1987)
21 2.10 Characteristic shape of the p-y curves for c- φ soils
(after Reese et al.,1974)
21 2.11 1-d and 2-d radiation damping models
(after Gazetas and Dobry, 1984)
24 2.12 Shadowing phenomenon in the pile group
(after Walsh,2005)
27 2.13 Pile group unit transfer method
(after Bogard and Matlock,1983)
28 2.14 Load-deflection curves for single pile and group
(after Brown et al., 1987)
29 2.15 Concept of p-multiplier (after Brown et al., 1988) 30 2.16 Terms used in pile group arrangements
(after Mokwa, 1999)
32
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2.17 Proposed p-multiplier design curves (after Mokwa, 1999)
32
2.18 Soil-pile-superstructure model in SPASM8 (after Matlock et al. 1979)
34
2.19 Hysteretic Backbone Curve and Analytical Model (after Kagawa and Kraft,1981)
35
2.20 Novak’s Soil-Pile Model in Layered Medium (after Novak and Sheta, 1982)
36
2.21 Nogami Model for SPI (after Nogami and Konagai, 1988)
37
2.22 Elements of the proposed model for nonlinear dynamic analysis of lateral response of piles (after El Naggar and Novak, 1996)
38 2.23 Thavaraj model 39 2.24 Iterative Procedure for the ELM 40 2.25 γeff and γmax in the ELM 41 2.26 Uncoupled method for the soil-pile-bridge interaction
(after Abghari and Chai, 1995)
45 2.27 Modified Penzien-type model
(after Sun and Goto, 2001)
46 2.28 Schematic of Model Developed
(after Sun and Zhang, 2004)
47 2.29 Penzien J model (after Xiao et al. 2010) 48 2.30 Schematic of BNWF model and Layered soil
(after Soneji and Jangid,2008)
49 2.31 The model used in the single-column bent on pile
(after Gerolymos et al., 2009)
50 2.32 Overall structural system of a pile foundation
(after Earthquake Resistance Design Codes in Japan, 2000)
51 2.33 Side view of load test setup(after Kim et al., 2004) 53 2.34 Outline of the experimental device (after Sun and
Zhang, 2004)
54 2.35 Schematic Drawing for Static Fixed head Test
(after Kim and Yoon, 2011)
55 2.36 Side view of layout for dynamic loading
(after Yang et al., 2011)
56 2.37 Cross Section of layout of system
(after Chau et al., 2009)
57 2.38 Schematic Drawing for Static Fixed-head Test
(after Murono et al., 2011)
58 2.39 Three type of traveling sand spreader
(after Walker and Whitaker, 1967; Chapman, 1974; Jacobsen, 1976)
63 3.1 Flow Chart of Experimental Tests 67 3.2 Flow Chart of Numerical Modeling 68 3.3 Model Pile 71 3.4 Pluviator Apparatus for the Sand Sample Preparation 73
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3.5 Holes patterns of the shutter plate 73 3.6 Schematic view for Single Pile 74 3.7 Terms used in pile group arrangements 76 3.8 Proposed model for the soil-pile-superstructure
interaction
77 4.1 Mobile Pluviator System; a) Mobile Pluviator b):
Shutter Plates
84 4.2 Grain Size Distribution Curves of the three Soils used
in this study
85 4.3 H distance versus Relative Density;(a) Soil A; (b) Soil
B; (c) Soil C
88 4.4 H distance versus Relative Density at different holes’
patterns
89 4.5 Porosity versus Relative Density; (a) Soil A; (b) Soil
B; (c) Soil C
90 4.6 Relative Density versus F distance at different
porosities; (a) Soil B; (b) Soil C
91 4.7 Shutter Porosity distance versus Relative Density
(Effect of Varying F on H); (a) Soil A; (b) Soil B; (c) Soil C
92 5.1 Photographs of whole of Test System 96 5.2 Photographs of Soil Tank 97 5.3 Gradation Curve of the Johor Bahru Sand 98 5.4 Direct Shear Test results; (a) Dr 30%, (b) Dr 75% 99 5.5 Side View of lateral loading device 100 5.6 Set up LVDTs in Lateral Load direction 100 5.7 Set up Load Cell in lateral loading device 101 5.8 Strain Gauge and Coating 101 5.9 Model Pile and Pile Cap; (a) Model Pile; (b) Piles
Fixed to cap
103 5.10 Model Pile instrumented in group 103 5.11 Gradation Curve of the Johor Bahru Sand 104 5.12 The two shutter plates used for Dr=30% and 75% 105 5.13 Typical Test Procedure in 3x3 Pile Group 113 5.14 Pile Group Configurations and Pile Spacing Ratio 107 5.15 Lateral load VS Deflection Diagram for Single Pile 109 5.16 Lateral load VS Deflection Diagram for T3433 109 5.17 Lateral load VS Lateral Deflection (3x3 Pile Group;
s/d=6; SP=single pile)
110 5.18 Lateral load VS Lateral Deflection (3x3 Pile Group;
s/d=3;SP=single pile)
110 5.19 Lateral load VS Lateral Deflection (2x2 Pile Group;
s/d=6; SP=single pile)
111 5.20 Lateral load VS Lateral Deflection for three-Piles
in series layout; (a) Dr=75% (b) = Dr=30%
112
xiv
5.21 Lateral load VS Lateral Deflection for three Piles in Parallel layout; (a) Dr=75% (b) = Dr=30%
113
5.22 Ultimate lateral load VS Pile Spacing; (a) Dr=75% (b) Dr=30%
116
5.23 Comparison of Group Efficiencies 118 5.24 Group Efficiency VS Spacing Ratio of Piles;
(a) Dr=75% (b) Dr=30%
119 5.25 Group Efficiency VS Number Piles;
(a) Dr=75% (b) Dr=30%
119 6.1 Experimental Set up for Single Pile; (a) Schematic
view (b) Photograph
122 6.2 Pile Roughed using Fine Sand 123 6.3 LVDTs set up on Pile Cap 124 6.4 Schematic and Photograph of Pile Calibration 125 6.5 Relationship between Strain and Moment Fitted
Straight Line
125 6.6 Pile and Pile cap set up in Soil Box; (a) Pile located in
Soil Box; (b) Soil Box filled before the Test
127 6.7 (a) Bending Moment versus Depth Test 44;
(b) Deflection versus Depth Test 44
129 6.8 (a) Bending Moment versus Depth Test 45;
(b) Deflection versus Depth Test 45
129 6.9 (a) Bending Moment versus Depth Test 47;
(b) Deflection versus Depth Test 47
130 6.10 (a) Bending Moment versus Depth Test 48;
(b) Deflection versus Depth Test 48
130 6.11 Values of Bending Moment versus Depth under
Lateral Load; (a) 29.34 N;(b) 39.43N
132 6.12 Max. Bending Moment versus Lateral Load;
(a) Dr=30%; (b) Dr=75%
133 6.13 Deflection at Ground Surface versus Lateral Load;
(a) Dr=30% (b) Dr=75%
134 6.14 Typical fitted and Experimental load-deflection
curves (T44) in different Depth for Johor Bahru Sand; Note: (OB: Observed Data; Eq.: Fitted Curves)
136 6.15 Typical fitted and Experimental load-deflection
curves (T45) in different Depth for Johor Bahru Sand; Note: (OB: Observed Data; Eq.: Fitted Curves)
137 6.16 Typical fitted and Experimental load-deflection
curves (T47) in different Depths for Johor Bahru Sand; Note: (OB: Observed Data; Eq.: Fitted Curves)
137 6.17 Typical fitted and Experimental load-deflection
curves (T48) in different Depths for Johor Bahru Sand; Note: (OB: Observed Data; Eq.: Fitted Curves)
138 6.18 Experimental p-y Curves of smooth and rough piles at
different Depths for Johor Bahru Sand; (a) Dr=75% (b) Dr=30%
139
xv
6.19 Experimental p-y Curves in different relative densities with different Depths for Johor Bahru Sand; (a) Smooth (b) Rough
140 6.20 Comparison of p-y curves obtained with previous
studies at the depth of 6D
142 6.21 New and Existing of Soil-Pile Reactions for Johor
Sand at a strain of 5% (y/D)
143 6.22 p-y curve for T3032/3(3x3-group pile) and T44
(single pile) in Dr =75% using p-multiplier
145 6.23 p-y curve for T4240 (3x1-group pile) and T45
(single pile) in Dr =30% using p-multiplier
145 7.1 General view of BNWF method 148 7.2 Modeling of Soil-Pile-Structure using Mechanical
Elements in ANSYS
149 7.3 3x3 pile group changed to 3x1 piles 150 7.4 Acceleration time histories selected as input motions;
(a) EQ.1; (b) EQ.2; (c) EQ.3
151 7.5 Perspective view of Pile Group modeled 152 7.6 Shear Modules versus Depth; (a) Loose Sand (b)
Dense Sand
153 7.7 Acceleration time histories at Ground Surface in Loose
Sand Deposit: (a) EQ.1 (b) EQ.2 (c) EQ.3
155 7.8 Acceleration time histories at Ground Surface in Dense
Sand Deposit: (a) EQ.1 (b) EQ.2 (c) EQ.3
156 7.9 Deformed shape of Structure Base Fixed in Domain
Mode
157 7.10 Deformed shape of Structure with Soil and Pile in
Domain Mode
158 7.11 Displacement time histories at Structure Based Fixed
Input Motions Directly Entered; (a) EQ.1, (b) EQ.2, (c) EQ.3
160 7.12 Acceleration time histories at Structure Based Fixed
Input Motions Directly Entered; (a) EQ.1, (b) EQ.2, (c) EQ.3
161 7.13 Displacement time histories at structure based on
Loose Sand Input Motions free field analysis; (a) EQ.1, (b) EQ.2, (c) EQ.3
163 7.14 Acceleration time histories at structure based on Loose
Sand Input Motions free field analysis; (a) EQ.1, (b) EQ.2, (c) EQ.3
164 7.15 Acceleration and Displacement time histories structure
under EQ.1; p-y curve calculated by API
167 7.16 Acceleration and Displacement time histories structure
under EQ.1; p-y curve calculated by AUTHOR
168 7.17 Acceleration and Displacement time histories structure
under EQ.2; p-y curve calculated by API
169 7.18 Acceleration and Displacement time histories structure
under EQ.2; p-y curve calculated by AUTHOR
170
xvi
7.19 Acceleration and Displacement time histories structure under EQ.3; p-y curve calculated by API
171
7.20 Acceleration and Displacement time histories structure under EQ.3; p-y curve calculated by AUTHOR
172
7.21 Maximum Displacements versus Depth along Pile 174 7.22 Maximum Bending Moment versus Depth along Pile
in EQ.1
174
xvii
LIST OF SYMBOLS
Vs - Shear wave velocity
Gmax - Maximum shear modulus
γd max - Maximum dry unit weight
γd min - Minimum dry unit weight
Pu - Ultimate lateral resistance
p - Soil-pile reaction
y - Pile deflection
SPI - Soil pile interaction
BNWF - Beam on Nonlinear Winkler Foundation
la - Active length
Es - Young’s modulus of soil
Ep - Young’s modulus of pile
D - Pile diameter
yc - One-half the ultimate soil resistance
ε50 - Strain for 50% of the ultimate stress
Cu - Undrained shear strength
USCS - Unified Soil Classification System
z - depth
ν - Poisson’s ratio
Ke - Initial elastic stiffness
φ - Friction angle
σp - Passive earth pressure
Cr - Radiation damping coefficient
Vs - S-wave
Vp - P-wave
ρs - Density of soil
Vla - Lysmer’s wave velocity
LVDT - Linear Variable Differential Transducers
xviii
a0 - Dimensionless frequency factor
Cm - Material damping
ζ - Material damping ratio
fm - p-multiplier factor
ω - Frequency of loading
ELM - Equivalent linear method
NLM - Nonlinear method
γeff - Effective shear strain
e - Void ratio
γmax - Maximum shear strain
σ0 - Principal effective stress
f-f - Free-Field
FEM - Finite element method
BEM - Boundary element method
EI - Flexural rigidity
D50 - Mean size of soil particles
S - Distance between hopper and diffuser system
H - Distance between diffuser system and sand surface
Hcrit - Critical falling height
M(z) - Bending moment curve
kini - Initial stiffness
Pi - Number of shutter plate
Dr - Relative density of soil
Cu - Uniformity coefficient
SR - Spacing ratio
η - Group efficiency
QLG - Ultimate lateral capacity of pile group
QLS - Ultimate lateral capacity of single pile
λ - Gauge constant
M - Moment
ε - Strain
kp - Passive earth pressure
xix
API - American Petroleum Institute
EQ1 - Earthquake number 1
EQ2 - Earthquake number 2
EQ3 - Earthquake number 3
f - Fundamental frequency
I - Inertia moment
PGA - Peak Ground Acceleration
xx
LIST OF APPENDICES
APPENDIX
TITLE PAGE
A Data obtained from Mobile Pluviator 189 B Data obtained from calibration of the strain gauges 197 C Data obtained from the single pile 200
CHAPTER 1
1 INTRODUCTION
1.1 Background of the Study
Many great cities are built on flat lands containing a thick layer of sediment
such as basins, river, deltas or valleys. Superstructures such as tall buildings,
important structures and bridges sometimes in these cities are founded on fluvial and
alluvial soil deposits that are weak and/or inherently soft (Chau et al., 2009). For this
reason, the superstructures are supported by deep foundations to transfer dead and
dynamic loads through shallow deposits of loose soils to deeper and denser soils
which have enough strength without excessive ground settlements. Therefore, the
evaluation of the superstructure’s behavior subjected to lateral loads is known as a
key concern for the designers. Obviously, the superstructure behavior supported by
pile and rigid foundations differs because of the soil-pile-superstructure interaction
(Finn . et al., 2011).
Piles transfer vertical and horizontal forces. On the type of superstructure
supported by piles, there are different causes of lateral loads. For examples, wind
gusts are common causes of lateral load for transmission towers and tall buildings. In
these structures, the lateral loads are known as the primary cause. In cases of bridge
piers, the horizontal forces are due to wind movement and traffic. Seismic motions
are the most important lateral loads since pile damages have demonstrated during
earthquake.
2
The mechanism’s load transfer vertically and horizontally is necessary for
design. In the transfer of lateral loads, pile behaves as a loaded beam in a transverse
manner. In such conditions, a part of pile moves horizontally in the load direction.
The soil in front of the pile resists against the pile’s press so as strain and stress are
developed in soil and consequently the Soil-Pile Interaction (SPI) occurs. Therefore ,
the Soil-Pile Interaction (SPI) plays a very important role in the superstructure’s
behavior subjected to lateral excitations because in most studies on superstructure,
the foundation is assumed as rigid (embedded in solid rock) while it is supported by
piles foundations. Consequently, the mechanism of SPI for the pile damages need to
be further examined (Tseng and Penzien, 2003).
As mentioned above, the seismic motions are the most important lateral load
in the SPI. Earthquake waves propagate through the soil deposit and affect the pile
foundations and structures resting on the ground surface. The effects of soil-
superstructure interaction and local soil conditions on the pile’s motion have been
observed during the major earthquakes (Figure 1.1). The strong earthquakes have
demonstrated the role of soil-structure interaction on the piles. Observations of the
major earthquake of Loma Prieta Earthquake in 1989 are other learning options. The
piles’ Cypress Freeway were founded in stiff to the soft soils. The local soil
conditions were the main reason for the failure mechanisms. The San Francisco
Oakland Bay Bridge collapsed due to structural failure. The spectral accelerations
were amplified four times and damaged the structures and foundations (Housner,
1989).
3
Figure 1.1 Collapse Twenty nine mile River Bridge supported on Timber Piles
in the 1964 Alaskan Earthquake (after Meymand,1998)
The behavior of the structure under dynamic loads depends on the interaction
between the structure, pile foundations and local soil. The effects of this interaction
were highlighted in the early 1960s where the foundations of equipment were
designed. The influence of soil-structure interaction can be more significant when the
structure is supported by pile foundations in sand with different densities. So that, the
modern structure codes consider the dynamic soil and structure interaction in the
structure supported by pile foundations in cohesionless soils. Therefore, the effects of
different relative densities and soil-pile interaction are important in complete
understanding of the seismic behavior in sandy conditions. Briefly, much is yet to be
learned analytically on the subject before having a complete important insight of the
parameters in SPI problems.
1.2 Statement of the Research
The importance of SPI can be demonstrated through the observations of
damages in the structures owing to partial or complete collapse under lateral loads.
4
Generally, it is common to ignore the SPI effects for simplifying design of
structures due to a series of reasons. For example, flexibility pile is considered as a
conservative design assumption because the period of structure is lengthened and the
structural forces decrease in comparison with a fixed base case (Figure 1.2).
Although this assumption may be correct in some cases, in 1985 Mexico City
earthquake, the acceleration values were higher than the spectral values related to
some building codes at the high periods (NEHRP, 1997b) (Figure 1.3).
Figure 1.2 Effect of Soil-Structure Interaction on Seismic Coefficient for Base Shear
(after Fenves et al.,1992)
It is somewhat more common that the free field response is predicted on the
ground surface and these predicted motions are applied to the fixed base of the
structure (Figure 1.4). In fact, the soil’s response to foundation or the foundation’s
response of soil is not taken into account. Although recently building and bridge
codes, state that the soil-pile-structure interaction shall be considered in design, it
requires a substantial amount of expertise in idealizing the actual system.
5
Figure 1.3 Comparison of 1985 Mexico City Earthquake SCT Response Spectra
with NEHRP (1997) Code Recommendations
Figure 1.4 Free Field Site Response Analyses
The pile movement under axial load is simply because it moves downward.
Base and shaft resistances increase the limit values so that the pile suffers excessive
vertical deflection. On the other hand, piles under lateral loads may bend or rotate. In
addition, the rigid and flexible pile behavior is different owing to the applied load.
Therefore, the flexible pile subjected to lateral load is more complex. Unfortunately,
there is a lack of well-documented soil-pile interaction case histories during the
earthquakes in cohesionless soil(Finn, 2005). For fulfillment of this goal, it is
6
essential to carry out the soil-pile interaction in cohesionless soil with different
relative densities.
1.3 Objectives of the Study
With this background and statement, the main goals are to understand the
effects of sand densities on the seismic behavior of the structure supported by pile
foundations. The main objectives of this study are as follows:
To develop the physical model of the soil-pile interaction in sand with
different relative densities using Mobile Pluviator.
To investigate the effects of piles’ spacing on the pile-soil-pile interaction.
To establish new static p-y curves from the physical model in sandy soil.
1.4 Scope of the Study
The majority of the piles that have been damaged during the lateral loads
such as earthquake and wind were due to the soil-pile-structure interaction (SPSI).
However, the number of the investigations about SPSI is few and they are mostly
focused on the liquefaction problems. The reported herein attempts to develop new
load-deflection relationship for single pile. A series of different configurations of
piles were performed to evaluate the single and grouped pile behavior at two
different relative densities. The tests were conducted in dried sand with loose and
dense densities. Flexible pile behavior was considered in this study. The preinstalled
piles were subjected to statically lateral loads applied at the level of the ground
model. The new soil-pile reaction against deflection curves (known as p-y curve)
were developed for single pile in the two relative densities of sand in Johor Bahru.
Due to the lack of shaking table in a physical model of soil-pile-structure interaction
subjected to dynamic loads, the interaction was modeled in numerical analysis under
7
the seismic motions. Beam on Nonlinear Winkler Foundation (BNWF) was used to
model the soil-pile-structure interaction and the seismic behavior of the
superstructure was estimated based on new and existing p-y curve. The acceleration
and displacement time histories of the structure were considered in numerical
analysis for the evaluation of the structure’s behavior. In this thesis:
To model the soil-pile interaction a new model of BNWF method was simulated
by ANSYS code.
To spread out the experimental data, a series of the static tests were performed in
the laboratory scale.
Model piles were scaled with the Penang Second Crossing’ piles.
Sandy soil properties from Johor Bahru. were used for the numerical part and the
laboratory tests.
To develop the new p-y curve, the two relative densities of sandy soil (loose and
dense) were considered.
The sand samples were prepared using pluviation method by new designed
mobile pluviator.
The three seismic motions were selected as input motion from Sumatra Island
and Kobe-Japan.
The new p-y curves were verified by API curves in the numerical model.
1.5 Significance of the Study
Significant damages of the piles due to partial or complete collapse of piers
have been observed. A large number of the pile foundations have been found to be
damaged and failed under lateral loads such as wind and seismic motions. The
following benefits from the study may be included:
A more realistic design with SPI considering, may reduce damages of structure
thus can reduce cost.
This study evaluates the effect of density changes on the SPI.
8
This study provides the alternative methods to develop the SPI by other
researchers.
1.6 Organization of Thesis
The thesis is organized into 8 chapters. The first chapter presents a brief
background on the soil-pile interaction and the necessity to understand the
mechanisms associated with this process. In additional, the Chapter 1 provides a
description of the problem, scope and layout of this dissertation.
Chapter 2 consists of a comprehensive survey of soil-pile interaction and the
effects of this interaction on the seismic behavior of the superstructure. It provides a
review on Beam Nonlinear Winkler Foundation (BNWF) method and the effects of
pile spacing on the pile group behavior. In addition, the existing methods the sand
sample’s preparation is presented in Chapter 2. The research methodology, theory
and application of the proposed data are discussed in detail in Chapter 3.Chapter 4
describes the used method to prepare the sand sample using the new apparatus in this
research. The method is suitable to prepare the samples in large area. In Chapter 5,
the behavior of single pile and grouped are described. The different parameters such
as the sand density and the different configurations of piles in group are discussed.
Chapter 6 describes the behavior of single pile under the lateral loading. The new p-y
curve are developed to evaluate the seismic behavior of the structure. Chapter 7
presents the numerical analysis of the SPI using a finite element method. The
structure behavior is evaluated by using the new p-y curve and the existing curves.
Finally, Chapter 8 summarizes the experimental and numerical findings and make
recommendations for future research.
180
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