Design of Breast Walls Design of Breast Walls A Practical Solution Approach Rajendra Chalisgaonkar First edition published 2022 by CRC Press 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487–2742 and by CRC Press 2 Park Square, Milton Park, Abingdon, Oxon, OX14 4RN © 2022 Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, LLC Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. 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ISBN: 978-0-367-75471-6 (hbk) ISBN: 978-0-367-75568-3 (pbk) ISBN: 978-1-003-16299-5 (ebk) DOI: 10.1201/9781003162995 Typeset in Times by Apex CoVantage, LLC To My Family Contents Preface.......................................................................................................................xi Acknowledgements .................................................................................................xiii Author ......................................................................................................................xv List of Symbols ......................................................................................................xvii Chapter 1 Introduction ..........................................................................................1 1.1 Evolution of Retaining Walls ....................................................1 1.2 Retaining Walls .........................................................................1 1.2.1 Predictable Behaviour .................................................2 1.2.2 Drainage System .........................................................2 1.2.3 Frost Action ................................................................2 1.3 Types of Retaining Walls...........................................................2 1.3.1 Gravity Retaining Walls ..............................................2 1.3.1.1 Semi-Gravity Retaining Walls ...................3 1.3.1.2 Prefabricated Modular Gravity Walls ........5 1.3.2 Pile Retaining Walls ....................................................7 1.3.3 Cantilever Retaining Walls .........................................8 1.3.3.1 Non-Gravity Cantilevered Walls ................8 1.3.4 Anchored Retaining Walls ..........................................8 1.3.5 Counterfort Retaining Walls .......................................9 1.3.6 Mechanically Stabilized Earth (MSE) Walls ..............9 1.3.7 Retaining Wall with a Pressure Relief Shelf .............11 1.3.8 Hybrid Systems .........................................................11 Chapter 2 Revisiting Earth Pressure Theories .....................................................13 2.1 Lateral Earth Pressures ............................................................13 2.2 Earth Pressure Theories ...........................................................13 2.2.1 Coulomb’s Theory ....................................................15 2.2.1.1 Active Pressure Due to the Backfill .........17 2.2.1.2 Passive Pressure Due to the Earthfill .......17 2.2.2 Rankine’s Theory ......................................................18 2.2.2.1 Active Pressure Due to the Backfill .........18 2.2.2.2 Passive Pressure Due to the Earthfill .......19 2.3 Reliability of Lateral Earth Pressures .....................................19 2.4 Reducing Active Earth Pressure ..............................................20 2.5 Influence of the Parameters on Earth Pressure ........................21 2.5.1 Influence of the Angle of Repose of the Backfill, φ and the Angle of Friction between the Wall and the Backfill, δ �����������������������������������������������������22 vii viii Contents 2.5.2 Influence of the Angle of the Surcharge, ι, on the Active Earth Pressure ..........................................22 2.5.3 Influence of the Vertical Angle of the Earth Face of the Wall, α, on the Active Earth Pressure .............24 2.6 Inference from the Parametric Study ......................................26 2.7 Coefficients of the Active and Passive Earth Pressures ...........26 Chapter 3 Design Methodology of Breast Walls .................................................33 3.1 Design Methodology ...............................................................33 3.1.1 Design Loads ............................................................33 3.2 Stability Analysis of Breast Walls ...........................................35 3.2.1 Stability against Overturning ....................................35 3.2.2 Stability against Sliding ............................................35 3.2.3 Shear Key ..................................................................36 3.2.4 Bearing Pressure .......................................................37 Chapter 4 Comparison of Gravity Retaining Walls and Breast Walls ................39 4.1 Design Parameters ...................................................................39 4.1.1 Design Loads ............................................................41 4.1.2 Coefficient of the Active Earth Pressure ...................41 4.1.3 Base Width ................................................................42 4.1.4 Volume of Masonry in a Gravity Retaining Wall .....43 4.1.5 Factor of Safety against Sliding ................................43 4.2 Remarks on the Comparison of Designs .................................44 4.3 Influence of the Surcharge and the Density of Materials ........45 4.3.1 Influence of the Unit Weight of the Soil on the Base Width ................................................................45 4.3.2 Influence of the Unit Weight of Masonry on the Base Width ................................................................46 4.3.3 Influence of the Angle of the Surcharge on the Base Width ................................................................47 4.3.4 Influence of Materials of Construction on the Base Width ................................................................47 Chapter 5 Charts for Stone Masonry Breast Walls ..............................................51 5.1 Parameters for the Development of Charts .............................51 5.2 Charts for the Design of a 1.0-m-High Masonry Breast Wall ........52 5.3 Charts for the Design of a 1.5-m-High Masonry Breast Wall ........65 5.4 Charts for the Design of a 2.0-m-High Masonry Breast Wall ........77 5.5 Charts for the Design of a 2.5-m-High Masonry Breast Wall ........89 5.6 Charts for the Design of a 3.0-m-High Masonry Breast Wall ......101 5.7 Charts for the Design of a 3.5-m-High Masonry Breast Wall ......113 5.8 Charts for the Design of a 4.0-m-High Masonry Breast Wall ......125 Contents ix 5.9 Charts for the Design of a 4.5-m-High Masonry Breast Wall ......137 5.10 Charts for the Design of a 5.0-m-High Masonry Breast Wall ......149 Chapter 6 Charts for Concrete Breast Walls ......................................................161 6.1 Parameters for the Development of Charts ...........................161 6.2 Charts for the Design of a 1.0-m-High Concrete Breast Wall ............................................................................162 6.3 Charts for the Design of a 1.5-m-High Concrete Breast Wall ............................................................................175 6.4 Charts for the Design of a 2.0-m-High Concrete Breast Wall ............................................................................187 6.5 Charts for the Design of a 2.5-m-High Concrete Breast Wall ............................................................................199 6.6 Charts for the Design of a 3.0-m-High Concrete Breast Wall ............................................................................211 6.7 Charts for the Design of a 3.5-m-High Concrete Breast Wall ............................................................................223 6.8 Charts for the Design of a 4.0-m-High Concrete Breast Wall ............................................................................235 6.9 Charts for the Design of a 4.5-m-High Concrete Breast Wall ............................................................................247 6.10 Charts for the Design of a 5.0-m-High Concrete Breast Wall ............................................................................259 Chapter 7 Detailing of Breast Walls ..................................................................271 7.1 Random Rubble Masonry Walls............................................271 7.1.1 Through-Stones/Bonding Element .........................271 7.1.2 Cement Mortar ........................................................271 7.1.3 Coping .....................................................................271 7.2 Drainage ................................................................................271 7.2.1 Specifying Filters by Permeability .........................272 7.3 Weep Holes ...........................................................................272 7.3.1 Drainage Pipe ..........................................................274 7.3.2 Catch Water Drain ...................................................274 7.4 Dip of the Foundation at the Base .........................................274 7.5 Wall Joints .............................................................................274 7.5.1 Construction Joints in Concrete Walls ....................274 7.5.2 Contraction Joint .....................................................274 7.5.3 Expansion Joint .......................................................274 7.6 Typical Drawings ..................................................................276 Chapter 8 Application of Design Tables and Charts ..........................................279 8.1 Application of the Design Charts ..........................................279