Prestressed Concrete Sixth Edition IS: 1343-2012 BS EN: 1992-1-1-2004 ACI: 318M-2011 About the Author N. Krishna Raju, Emeritus Professor of Civil Engineering, M S Ramaiah Institute of Technology, Bangalore, earned his PhD degree from the University of Leeds, UK. He has taught at the College of Engineering, Guindy, Chennai; Regional Engineering College, Calicut; Lanchester College of Technology, Coventry, UK; Indian Institute of Science, Bangalore; and the Karnataka Regional Engineering College, Surathkal. He was also a visiting professor at the University of Basrah, Iraq, during 1979–82. Dr Raju is the recipient of several awards, prominent among them being The Sir Bowen Memorial Prize, Garudacharya and Krishna Iyengar Gold Medals, UP Government National Award, Birla Super Endowment Award, Eminent Civil Engineers Award, George Oomen Memorial Prize, Institution of Engineers Prize, Naghadi Award and the ICI Silver Jubilee Award. Dr Raju has published over 60 research papers in reputed journals and is the author of several engineering monographs like Design of Concrete Mixes, Prestressed Concrete, Design of Reinforced Concrete Structures, Advanced Reinforced Concrete Design, Design of Bridges, Design and Drawing of Reinforced Concrete and Steel Structures, Numerical Methods for Engineering Problems, Structural Design and Drawing, Prestressed Concrete (Problems & Solutions), Reinforced Concrete Structural Elements, Advanced Mechanics of Solids and Structures, and Prestressed Concrete Bridges. Dr Raju's textbooks have also been published in Indonesian and Arabic languages. He is also a member of the Institution of Structural Engineers, London, UK, the Institution of Engineers, India, and the Indian Concrete Institute. He is socially active serving as the President of the Vijayanagar Senior Citizen’s Forum and as an active anchor of Jai Maruthi Laughter Yoga Club at Vijayanagar, Bangalore. Prestressed Concrete Sixth Edition IS: 1343-2012 BS EN: 1992-1-1-2004 ACI: 318M-2011 N. Krishna Raju B.E., M.Sc (Engg), Ph.D., M.I.E., M.I. Struct.E Emeritus Professor of Civil Engineering M S Ramaiah Institute of Technology, Bangalore McGraw Hill Education (India) Private Limited CHENNAI McGraw Hill Education Offices Chennai New York St Louis San Francisco Auckland Bogotá Caracas Kuala Lumpur Lisbon London Madrid Mexico City Milan Montreal San Juan Santiago Singapore Sydney Tokyo Toronto McGraw Hill Education (India) Private Limited Published by McGraw Hill Education (India) Private Limited, 444/1, Sri Ekambara Naicker Industrial Estate, Alapakkam, Porur, Chennai-600116. Prestressed Concrete, 6e Copyright © 2018, 2012, 2007, 1995, 1986, 1981 by McGraw Hill Education (India) Private Limited. 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This edition can be exported from India only by the publishers, McGraw Hill Education (India) Private Limited 1 2 3 4 5 6 7 8 9 D101417 22 21 20 19 18 Printed and bound in India Print Edition: ISBN-13: 978-93-87886-20-9 ISBN-10: 93-87886-20-4 e-Book Edition: ISBN-13: 978-93-87886-25-4 ISBN-10: 93-87886-25-5 Director—Science & Engineering Portfolio: Vibha Mahajan Senior Portfolio Manager—Science & Engineering: Hemant K Jha Associate Portfolio Manager—Science & Engineering: Tushar Mishra Content Development Lead: Shalini Jha Content Developer: Amit Chatterjee Production Head: Satinder S Baveja Copy Editor: Taranpreet Kaur Assistant Manager—Production: Atul Gupta General Manager—Production: Rajender P Ghansela Manager—Production: Reji Kumar Information contained in this work has been obtained by McGraw Hill Education (India), from sources believed to be reliable. However, neither McGraw Hill Education (India) nor its authors guarantee the accuracy or completeness of any information published herein, and neither McGraw Hill Education (India) nor its authors shall be responsible for any errors, omissions, or damages arising out of use of this information. This work is published with the understanding that McGraw Hill Education (India) and its authors are supplying information but are not attempting to render engineering or other professional services. If such services are required, the assistance of an appropriate professional should be sought. Typeset at The Composers, 260, C.A. Apt., Paschim Vihar, New Delhi 110 063 and printed at Cover Printer: Visit us at: www.mheducation.co.in Write to us at: [email protected] CIN: U22200TN1970PTC111531 Toll Free Number: 1800 103 5875 Eugene Freyssinet (Father of Prestressing) The book is dedicated to the pioneers and research workers Eugene Freyssinet, Yves Guyon, Gustav Magnel, Paul W. Abeles, M. Birkenmaier, F. Dischinger, Finister Walder, T.Y. Lin, Fritz Leonhardt, Ben C. Gerwick Jr, R.H. Evans, E.W. Bennett, P.E. Regan, J.J. Mc Namee, Y. Guyon, D.J. Dowrick, T.N. Subba Rao, V.V. Mikhailov, V.K. Raina, Brandestini, Ros, Vogt, J.R. Libby, J. Muller, R.E. Rowe, O.C. Zienkienwicz, W. Rockenhouser, P.B. Morice, A.R. Anderson, W. Podolony, J.M. Crom, A.H. Mattock, Lee McCall, Shu-Tien-Li, G.S. Rama Swamy and a host of others who toiled incessantly for the development and widespread use of Prestressed Concrete Contents Preface to the Sixth Edition xvii Preface to the First Edition xxi List of Symbols xxiii 1. Introduction 1 1.1 Basic Concepts of Prestressing 1 1.2 Historical Development 1 1.3 Need for High-Strength Steel and Concrete 2 1.4 Terminology 3 1.5 Advantages of Prestressed Concrete 5 1.6 Applications of Prestressed Concrete 6 References 17 Review Questions 18 Objective-type Questions 19 Answers to Objective-type Questions 19 2. Materials for Prestressed Concrete 20 2.1 High-Strength Concrete 20 2.2 High-Tensile Steel 42 References 50 Review Questions 52 Objective-type Questions 53 Answers to Objective-type Questions 53 3. Prestressing Systems 54 3.1 Introduction 54 3.2 Tensioning Devices 54 3.3 Pretensioning Systems 55 3.4 Post-Tensioning Systems 57 3.5 Thermo-Electric Prestressing 67 3.6 Chemical Prestressing 68 References 68 Review Questions 69 Objective-type Questions 70 Answers to Objective-type Questions 71 viii Contents 4. Analysis of Prestress and Bending Stresses 72 4.1 Basic Assumptions 72 4.2 Analysis of Prestress 72 4.3 Resultant Stresses at a Section 74 4.4 Pressure Line or Thrust Line and Internal Resisting Couple 79 4.5 Concept of Load Balancing 88 4.6 Stresses in Tendons 94 4.7 Cracking Moment 99 References 101 Review Questions 101 Exercises 101 Objective-type Questions 104 Answers to Objective-type Questions 105 5. Losses of Prestress 106 5.1 Nature of Losses of Prestress 106 5.2 Loss Due to Elastic Deformation of Concrete 107 5.3 Loss of Prestress due to Shrinkage of Concrete 112 5.4 Loss of Prestress due to Creep of Concrete 115 5.5 Loss of Prestress due to Relaxation of Stress in Steel 117 5.6 Loss of Prestress due to Friction 118 5.7 Loss due to Anchorage Slip 122 5.8 Total Losses Allowed for in Design 124 References 130 Review Questions 130 Exercises 131 Objective-type Questions 133 Answers to Objective-type Questions 134 6. Deflections of Prestressed Concrete Members 135 6.1 Importance of Control of Deflections 135 6.2 Factors Influencing Deflections 135 6.3 Short-term Deflections of Uncracked Members 136 6.4 Prediction of Long-time Deflections 144 6.5 Deflections of Cracked Members 147 6.6 Requirements of Various Codes of Practise 163 References 170 Review Questions 171 Exercises 172 Objective-type Questions 173 Answers to Objective-type Questions 174 7. Flexural Strength of Prestressed Concrete Sections 175 7.1 Types of Flexural Failure 175 7.2 Strain Compatibility Method 177 7.3 Simplified Code Procedures 183 7.4 Comparative Analysis of Code Procedures 204 Contents ix 7.5 Sections with Steel in Compression Zone 207 References 214 Review Questions 214 Exercises 215 Objective-type Questions 216 Answers to Objective-type Questions 217 8. Shear and Torsional Resistance of Prestressed Concrete Members 218 8.1 Shear and Principal Stresses 218 8.2 Ultimate Shear Resistance of Prestressed Concrete Members 224 8.3 Design of Shear Reinforcements 231 8.4 Prestressed Concrete Members in Torsion 233 8.5 Design of Reinforcements for Torsion Shear and Bending 239 References 250 Review Questions 252 Exercises 253 Objective-type Questions 255 Answers to Objective-type Questions 256 9. Transfer of Prestress in Pretensioned Members 257 9.1 Transmission of Prestressing Force by Bond 257 9.2 Transmission Length 257 9.3 Bond Stresses 261 9.4 Transverse Tensile Stresses 263 9.5 End-Zone Reinforcement 264 9.6 Flexural-Bond Stresses 266 9.7 Code Provisions for Bond and Transmission Length 268 References 270 Review Questions 271 Exercises 272 Objective-type Questions 273 Answers to Objective-type Questions 274 10. Anchorage Zone Stresses in Post-tensioned Members 275 10.1 Introduction 275 10.2 Stress Distribution in End Block 275 10.3 Investigations on Anchorage Zone Stresses 277 10.4 Comparative Analysis 293 10.5 Anchorage Zone Reinforcement 294 References 302 Review Questions 303 Exercises 303 Objective-type Questions 305 Answers to Objective-type Questions 306 x Contents 11. Limit-state Design Criteria for Prestressed Concrete Members 307 11.1 Introduction 307 11.2 Inadequacies of the Elastic and Ultimate Load Methods 307 11.3 Philosophy of Limit-state Design 308 11.4 Criteria for Limit States 309 11.5 Design Loads and Strengths 310 11.6 Strength and Serviceability Limit States 313 11.7 Crack Widths in Prestressed Members 316 11.8 Principles of Dimensioning Prestressed Concrete Members 327 References 328 Review Questions 330 Exercises 330 Objective-type Questions 331 Answers to Objective-type Questions 332 12. Design of Prestressed Concrete Sections 333 12.1 Design of Sections for Flexure 333 12.2 Design of Sections for Axial Tension 350 12.3 Design of Sections for Compression and Bending 353 12.4 Design of Prestressed Sections for Shear and Torsion 370 12.5 Design of Prestressed Members for Bond 370 12.6 Design of Prestressed Members for Bearing 371 References 372 Review Questions 373 Exercises 373 Objective-type Questions 375 Answers to Objective-type Questions 376 13. Design of Pretensioned and Post-tensioned Flexural Members 377 13.1 Dimensioning of Flexural Members 377 13.2 Estimation of Self-Weight of Beams 379 13.3 Design of Pretensioned Beams 379 13.4 Design of Post-tensioned Beams 385 13.5 Design of Partially Prestressed Members 392 References 405 Review Questions 406 Exercises 407 Objective-type Questions 409 Answers to Objective-type Questions 410 14. Composite Construction of Prestressed and in situ Concrete 411 14.1 Composite Structural Members 411 14.2 Types of Composite Construction 412 14.3 Analysis of Stresses 414 14.4 Differential Shrinkage 418 14.5 Deflection of Composite Members 422 14.6 Stresses at Serviceability Limit State 424