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3-D finite element investigation of discrete deadman anchor for earth retaining wall. PhD thesis ... PDF

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3-D F E I INITE LEMENT NVESTIGATION O F D D A ISCRETE EADMAN NCHOR F OR E R W ARTH ETAINING ALL C K S HAI OH IONG T U O N HE NIVERSITY F OTTINGHAM 2015 3-D F E I INITE LEMENT NVESTIGATION O F D D A ISCRETE EADMAN NCHOR F OR E R W ARTH ETAINING ALL C K S HAI OH IONG (M. Eng. (Hons.), the University of Nottingham) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF CIVIL ENGINEERING THE UNIVERSITY OF NOTTINGHAM 2015 Dedicated to my mother Mdm. Tan Yoke Heong for her understanding and endless love i ACKNOWLEDGEMENT I would like to take this opportunity to express my sincere appreciation to my Ph.D. supervisor at the University of Nottingham, Ir. Dr. Chan Swee Huat. This thesis could not have been accomplished without his excellent guidance, useful advice and perennial encouragement. Sincerely, I would also like to express my heartfelt gratitude to Dr. Sandy Kok Sien Ti, Dr. Song Ki Il and Dr. Mostapha Boulbibane from the Department of Civil engineering for their helpful advice and invaluable guidance during the course of my thesis. Furthermore, grateful acknowledgement is made to the Engineering Computer Laboratory Technician, Mr. Kumaravehlo S/O Bathumalai for his effort in installing PLAXIS 3D on my workstation. I must record my irreparable debt to my family and relatives for their support and encouragement. Last but not least, I would like to thank my fellow friends, colleagues and staff members for giving me priceless support throughout this thesis. ii PERFACE The following publications were published during the term of candidature: 1. Chai, K. S. & Chan, S. H. (2014). A Study on Finite Element Modelling of Earth Retaining Wall Anchored by Deadman Anchor. ICSMGE 2014: International Conference on Soil Mechanics and Geotechnical Engineering, Paris, France. 2. Chai, K. S. & Chan, S. H. (2015). Evaluate on the Pull-out of Discrete Deadman Anchorage in Sand. Geotechnical Engineering Journal of the SEAGS and AGSSEA. (Submitted) iii ABSTRACT In the past several years, considerable attention has been given to the ultimate horizontal pull-out resistance of vertical deadman anchors, which are usually used together with earth retaining wall. Unfortunately, no significant effort has been made to understand/study the behaviour of discrete deadman anchor in earth retaining wall (anchored wall) subjected to the deflection of earth retaining wall. Therefore, this research aims to fill up this gap. The study on the behaviour of single-plate discrete deadman anchor in anchored wall subjected to the deflection of earth retaining wall is carried out by three-dimensional (3-D) finite element analysis adopting finite element software named PLAXIS. The behaviour of discrete deadman anchor is studied by investigating the effects of several key factors. These include the effects of length of tie rod, embedment depth of anchor, spacing between deadman anchors, friction angle of soil, depth of anchored wall, and stiffness of anchored wall. Practicing geotechnical engineers are able to understand the interactions among soil-anchor-wall by studying the effects of several key factors on the behaviour of discrete deadman anchor. This allows practicing geotechnical iv engineers to determine the potential failure mechanisms and hence provide the most suitable design of anchored wall in geotechnical engineering. Furthermore, the effects of abovementioned key factors are summarised and design charts are proposed for the preliminary design of anchored wall. The design charts are developed based on limiting the wall deflection to 0.5% of excavation height. The major contribution of this research is the development of design charts for the preliminary design of anchored wall. These design charts may be implemented during early design stages, which serves the purpose for earthwork planning, cost estimation, bill of quantity and others. These design charts are set as a guideline for the preliminary design. Last by not least, the embedment depth of deadman anchor in this research is studied up to 3.0m deep. Deadman anchorage system embedded deeper than 3.0m from ground surface is considered to be impractical due to the difficulty in installation and increase of construction cost and time. Keywords: 3-D finite element analysis, discrete deadman anchor, earth retaining wall, sand. v TABLE OF CONTENTS ACKNOWLEDGEMENT ......................................................................................... II PERFACE ......................................................................................................... III ABSTRACT ..........................................................................................................IV TABLE OF CONTENTS .........................................................................................VI LIST OF FIGURES ...............................................................................................XIII LIST OF TABLES.............................................................................................. XXVI NOMENCLATURE ........................................................................................... XXIX CHAPTER 1 INTRODUCTION ........................................................................... 1 INTRODUCTION ....................................................................................................... 1 BACKGROUND ......................................................................................................... 3 Earth Retaining Wall ...................................................................................... 3 Anchored Wall ........................................................................................ 6 Types of Anchorage for Anchored Wall ................................................... 7 Deadman Anchor ................................................................................... 8 OBJECTIVES AND SCOPE OF WORK .................................................................... 11 THESIS OUTLINE ................................................................................................. 12 vi CHAPTER 2 LITERATURE REVIEW ............................................................. 14 INTRODUCTION .................................................................................................... 14 LATERAL EARTH PRESSURE THEORY ............................................................... 14 Rankine’s Theory ............................................................................................. 15 Coulomb’s Theory ........................................................................................... 16 Logarithmic Spiral Theory .......................................................................... 16 FAILURE MECHANISMS OF EARTH RETAINING WALL .................................... 17 Deep Seated Failure ....................................................................................... 18 Rotational Failure .......................................................................................... 18 Flexural Failure ............................................................................................... 18 Anchorage Failures ........................................................................................ 20 Anchor Passive Failure ...................................................................... 21 Tie Rod Failure ..................................................................................... 22 Bearing Plate Failure .......................................................................... 22 HISTORICAL REVIEW .......................................................................................... 22 Analytical Studies ........................................................................................... 23 Summary of Analytical Studies ...................................................... 40 Experimental Studies..................................................................................... 40 Summary of Experimental Studies ............................................... 49 Field Test Studies ............................................................................................ 49 SUMMARY ............................................................................................................. 50 CHAPTER 3 METHODOLOGY ......................................................................... 54 INTRODUCTION .................................................................................................... 54 FINITE ELEMENT ANALYSIS (FEA) .................................................................. 54 vii PROTOTYPE CONFIGURATION ............................................................................ 56 DESIGN CRITERIA ................................................................................................ 58 BEHAVIOUR OF DISCRETE DEADMAN ANCHORAGE SYSTEM .......................... 58 PLAXIS MODEL .................................................................................................. 60 3-D Model ........................................................................................................... 60 Soil ............................................................................................................. 60 Earth Retaining Wall and Deadman Anchor ............................. 61 Tie Rod ..................................................................................................... 62 Material ................................................................................................... 62 Boundary Conditions ......................................................................... 65 Mesh Investigation .............................................................................. 66 2-D Model ........................................................................................................... 70 Soil ............................................................................................................. 70 Earth Retaining Wall and Deadman Anchor ............................. 71 Tie Rod ..................................................................................................... 72 VERIFICATION OF FINITE ELEMENT SOFTWARE ............................................. 72 SUMMARY ............................................................................................................. 75 CHAPTER 4 1-G SMALL SCLAE LABORATORY TEST .............................. 77 INTRODUCTION .................................................................................................... 77 1-G SMALL-SCALE LABORATORY TEST SET UP ............................................... 78 Sand Box ............................................................................................................. 78 Deadman Anchorage System ..................................................................... 80 Pull-out System ................................................................................................ 81 SOIL CHARACTERISATION .................................................................................. 84 viii

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2014: International Conference on Soil Mechanics and Geotechnical between deadman anchors, friction angle of soil, depth of anchored wall, (Neely et al., 1973). 32. Figure 2.10: k4 failure concept. (Rowe & Davis, 1982a). 34. Figure 2.11: Deadman anchor with acting forces. (Naser, 2006). 37.
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