Earthquake Design Practice for Buildings 2nd Ed

download Earthquake Design Practice for Buildings 2nd Ed

of 32

description

Earthquake Design Practice for Buildings

Transcript of Earthquake Design Practice for Buildings 2nd Ed

  • Earthquake design practicefor buildings

    Second edition

    Edmund BoothMA, CEng, FICE, FIStructE

    and

    David KeyPhD, CEng, FICE, FIStructE

  • Published by Thomas Telford Publishing, Thomas Telford Ltd, 1 Heron Quay, London E14 4JD.

    www.thomastelford.com

    Distributors for Thomas Telford books are

    USA: ASCE Press, 1801 Alexander Bell Drive, Reston, VA 20191-4400, USA

    Japan: Maruzen Co. Ltd, Book Department, 310 Nihonbashi 2-chome, Chuo-ku, Tokyo 103, Japan

    Australia: DA Books and Journals, 648 Whitehorse Road, Mitcham 3132, Victoria, Australia

    First edition 1988

    Second edition 2006

    A catalogue record for this book is available from the British Library

    ISBN: 0 7277 2947 0

    # The Authors 2006

    All rights, including translation, reserved. Except as permitted by the Copyright, Designs and Patents Act

    1988, no part of this publication may be reproduced, stored in a retrieval system or transmitted in any

    form or by any means, electronic, mechanical, photocopying or otherwise, without the prior written

    permission of the Publishing Director, Thomas Telford Publishing, Thomas Telford Ltd, 1 Heron Quay,

    London E14 4JD.

    This book is published on the understanding that the authors are solely responsible for the statements

    made and opinions expressed in it and that its publication does not necessarily imply that such

    statements and/or opinions are or reect the views or opinions of the publishers. While every eort has

    been made to ensure that the statements made and the opinions expressed in this publication provide a

    safe and accurate guide, no liability or responsibility can be accepted in this respect by the authors or

    publishers.

    Whilst every eort has been made by the publisher and author to trace holders of all copyright

    material, if there is any material published that has not been credited or cleared, please contact us,

    and we will undertake every eort to address this upon reprinting.

    Typeset by Academic Technical, BristolPrinted and bound in Great Britain by MPG Books, Bodmin

  • Contents

    Sources for photographs vii

    Preface ixScope of the book ixOutline ixAcknowledgements x

    Introduction to the rst edition xi

    Introduction to the second edition xiii

    Foreword by Professor Robin Spence xv

    Notation xvii

    1 The lessons from earthquake damage 11.1 Damage studies 11.2 Ground behaviour 21.3 Structural collapse 41.4 Important categories of damage 91.5 Reinforced concrete 111.6 Structural steelwork 131.7 Masonry 151.8 Timber 161.9 Foundations 171.10 Non-structural elements 181.11 Bibliography 19

    2 Ground motion 202.1 Primary and secondary sources of earthquake damage 202.2 Earthquake basics 212.3 Earthquake probability and return periods 242.4 Performance objectives under earthquake loading 252.5 Representation of ground motion 262.6 Site eects 302.7 Quantifying the risk from earthquakes 322.8 Design earthquake motions 342.9 References 37

  • 3 The calculation of structural response 393.1 Introduction 393.2 Basic principles of seismic analysis 403.3 Linear elastic forms of seismic analysis 633.4 Non-linear analysis 673.5 Analysis for capacity design 753.6 Analysis of building structures 773.7 References 79

    4 Analysis of soils and soilstructure interaction 804.1 Introduction 804.2 Soil properties for seismic design 804.3 Liquefaction 844.4 Site-specic seismic hazards 904.5 Soilstructure interaction 924.6 References 93

    5 Conceptual design 965.1 Design objectives 965.2 Anatomy of a building 965.3 Planning considerations 975.4 Structural systems 1025.5 Cost of providing seismic resistance 1155.6 References 116

    6 Seismic codes of practice 1176.1 Role of seismic codes in design 1176.2 Development of codes 1186.3 Philosophy of design 1186.4 Code requirements for analysis 1196.5 Code requirements for strength 1246.6 Code requirements for deection 1246.7 Load combinations 1246.8 Code requirements for detailing 1256.9 Code requirements for foundations 1256.10 Code requirements for non-structural elements and building

    contents 1266.11 Other considerations 1266.12 References 127

    7 Foundations 1287.1 Design objectives 1287.2 Capacity design considerations for foundations 129

    iv EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • 7.3 Safety factors for seismic design of foundations 1307.4 Pad and strip foundations 1317.5 Raft foundations 1337.6 Piled foundations 1347.7 Retaining structures 1367.8 Design in the presence of liqueable soils 1387.9 References 139

    8 Reinforced concrete design 1408.1 Lessons from earthquake damage 1408.2 Behaviour of reinforced concrete under cyclic loading 1418.3 Material specication 1528.4 Analysis of reinforced concrete structures 1548.5 Design of concrete building structures 1588.6 Design levels of ductility 1588.7 Design of reinforced concrete frames 1598.8 Shear walls 1698.9 Concrete oor and roof diaphragms 1768.10 Unbonded prestressed construction 1798.11 References 179

    9 Steelwork design 1829.1 Introduction 1829.2 Lessons learned from earthquake damage 1839.3 The behaviour of steelwork members under cyclic loading 1859.4 Materials specication 1919.5 Analysis of steelwork structures 1929.6 Design of steel building structures 1939.7 Design levels of ductility 1949.8 Concentrically braced frames (CBFs) 1949.9 Eccentrically braced frames (EBFs) 1969.10 Moment-resisting frames 1989.11 Steelconcrete composite structures 2049.12 References 204

    10 Masonry 20610.1 Introduction 20610.2 Forms of masonry construction and their performance in

    earthquakes 20610.3 Designing masonry for seismic resistance 20910.4 Analysis of masonry structures 21610.5 Simple rules for masonry buildings 21610.6 References 218

    CONTENTS v

  • 11 Timber 21911.1 Introduction 21911.2 Characteristics of timber as a seismic-resisting building material 21911.3 The lessons from earthquake damage 22011.4 Design of timber structures 22111.5 References 224

    12 Building contents and cladding 22512.1 Introduction 22512.2 Analysis and design of non-structural elements for seismic

    resistance 22612.3 Electrical, mechanical and other equipment 23112.4 Vertical and horizontal services 23112.5 Cladding 23212.6 References 232

    13 Seismic isolation 23313.1 Introduction 23313.2 Lessons from 30 years of seismic isolation 23913.3 Seismic isolation systems 23913.4 Design considerations 24513.5 Analysis of seismic isolation systems 24713.6 Testing of bearing systems 25113.7 Active and semi-active systems 25113.8 References 253

    14 Assessment and strengthening of existing buildings 25514.1 Introduction 25514.2 Performance of strengthened buildings in earthquakes 25614.3 Design strategies for strengthening 25814.4 Surveying the seismic adequacy of existing buildings 26114.5 Analysis methods 26314.6 Assessing element strengths and deformation capacities 26514.7 Methods of strengthening 26614.8 Special considerations for strengthening earthquake-damaged

    buildings 27014.9 Upgrading of historic buildings 27114.10 Assessment of large groups of buildings 27214.11 References 272

    Index 275

    vi EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • Sources for photographs

    (Note: where no source is indicated, the source is the authors.)

    Fig. 1.1 Port and Airport Research Institute, Japan.

    Fig. 1.2 Colin Taylor, Department of Civil Engineering, Bristol University.

    Fig. 1.3 Edmund Booth.

    Fig. 1.4 Earthquake Engineering Field Investigation Team (EEFIT), UK.

    Fig. 1.6 Mike Winney.

    Fig. 1.7 Edmund Booth.

    Fig. 1.8 Edmund Booth.

    Fig. 1.10 Antonios Pomonis (Cambridge University).

    Fig. 1.13 J. Meehan. Courtesy of Karl V. Steinbrugge Collection, EarthquakeEngineering Research Center, University of California, Berkeley.

    Fig. 1.14 Robin Spence.

    Fig. 1.16 EEFIT UK.

    Fig. 1.18 Peter Yanev, courtesy of ABS Consulting.

    Fig. 1.24 Peter Merriman, BNFL Ltd.

    Fig. 2.9 James Jackson, University of Cambridge.

    Fig. 4.6 Karl V. Steinbrugge Collection, Earthquake Engineering ResearchCenter, University of California, Berkeley.

    Fig. 5.3 David G. E. Smith.

    Fig. 7.2 Jack Pappin.

    Fig. 8.5 R. C. Fenwick.

    Fig. 8.22 Peter Yanev, courtesy of ABS Consulting.

    Fig. 9.2 Peter Yanev, courtesy of ABS Consulting.

    Fig. 9.7 Courtesy of the SAC Project 7.03 Georgia Tech (R. Leon andJ. Swanson).

    Fig. 10.2 Antonios Pomonis (Cambridge University)

    Fig. 10.5 D. DAyala.

  • Figs 13.3, 13.4, 13.8 Courtesy of ALGA SpA.

    Fig. 13.5 (a) Courtesy of Arup (b) courtesy of Frank la Riviere.

    Fig. 13.6 L. Megget.

    Fig. 14.3 C. Perry, E. Fierro, H. Sederat and R. Scholl (1993). Seismic upgradein San Francisco using energy dissipation devices. Earthquake Spectra, Vol. 9,No. 3, pp. 559579. Courtesy of EERI.

    viii EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • Preface

    Scope of the bookThis book is intended as a design guide for practitioners and advanced studentswith a sound knowledge of structural design who are not expert in seismic aspectsof design, and perhaps are encountering the problem for the rst time. Earthquakeengineering is a vast subject and the intention of this book is not to provide a fullycomprehensive treatment of all its aspects. Rather, it is to provide the practisingengineer with an understanding of those aspects of the subject that are importantwhen designing buildings in earthquake country, with references to sources ofmore detailed information where necessary. Many of the principles discussedalso apply to the design of non-building structures, such as bridges or telecommu-nications towers, but the scope of this book is restricted to buildings.Although earthquakes do not respect national boundaries, the practice of

    earthquake engineering does vary signicantly between regions, and this isreected in the diering formats and requirements of national seismic codes.The book is intended to be more general than to describe the approach in justone code, although it reects the experience of the authors, particularly of theEuropean seismic code Eurocode 8 and of US codes. Japanese practice is inmany ways very dierent, and is scarcely mentioned here.

    OutlineEarthquakes regularly occur which test buildings much more severely than theirdesigners might reasonably have expected, and earthquake engineers should(and do) make use of this chance (found much more rarely in other disciplines)to nd out whether the current theories actually work out in practice. The rstchapter therefore reviews the lessons from earthquake damage for designers ofbuildings. Chapter 2 is a brief introduction to engineering seismology, includingsuch matters as measuring earthquakes and the ground motions they produce.Chapter 3 outlines the important principles of structural dynamics applicable toseismic analysis, and Chapter 4 discusses the analysis of soils (a crucial issuewhere the soil provides the dual and conicting roles of both supporting andalso exciting the structures founded on it). Chapter 5 presents the fundamentallyimportant issue of the conceptual design of buildings; if this is wrong, it is unlikelythat the seismic resistance will be satisfactory. Chapter 6 gives an introduction tosome seismic codes of practice. Chapter 7 discusses the design of foundations,while Chapters 8 to 11 discuss issues specic to seismic design in the four mainmaterials used for building structures concrete, steel, masonry and timber. Sofar, the book has concentrated on the primary structure of a building, but its

  • contents are also important and can suer as much or even greater damage in anearthquake. Chapter 12 therefore discusses building contents and cladding.Chapter 13 introduces special measures to improve earthquake resistance, suchas mounting buildings on base isolation bearings or introducing various types ofdevices to increase structural damping. Existing buildings without adequateseismic resistance pose a huge safety and economic threat in many parts of theworld and the nal chapter discusses how to assess and strengthen them.

    AcknowledgementsAssistance in preparing the text and illustrations is gratefully acknowledged frommany friends and colleagues. Particular thanks are due to Richard Fenwick forpermission to base parts of Chapter 8 on material originally prepared by him,and to Jack Pappin in a similar way for material used in Chapters 4 and 7. Richardand Jack also provided many helpful and detailed comments on the text, as didDina DAyala, Ahmed Elghazouli, James Jackson, David Mallard, AgostinoMarioni, Alain Pecker, Bryan Skipp, Robin Spence and David Trujillo.

    x EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • Introduction to the rst edition

    This book deals with earthquakes, which are natural disasters. In a letter to TheTimes, on 13 July 1984, the Archbishop of York wrote

    Disasters may indeed be messengers, in that they force us to think about ourpriorities. They drive us back to God. They remind us of mistakes and fail-ures, and they call forth reserves of energy and commitment which mightotherwise remain untapped. Disasters also remind us of the fragility of lifeand of our human achievements.

    Designing for earthquake resistance is dicult, not because the basic steps in theprocess are necessarily hard, but because the fundamental concept of earthquakeresistance is dierent from design for other loadings, such as wind pressure orgravity loads. It is dierent in two important respects. Firstly, it is a dynamicloading involving a number of cyclic reversals, so that the behaviour of the struc-ture involves an understanding of structural dynamics. Secondly, normal designpractice accepts that, in response to a major earthquake, a building structuremay suer major damage (but should not collapse), whereas for wind and gravityloads even minor damage is not acceptable.Earthquake-resistant design is not widely taught. For the practising engineer it is

    a dicult subject to come to grips with, not because there is a shortage of informa-tion, but because there is a surfeit. It is a subject where it is possible to drown ininformation and to starve for knowledge. Professor G. Housner, in an addressto the participants at the Eighth World Conference on Earthquake Engineeringin 1984, suggested that, if the current logarithmic increase in the number ofpapers presented at the four-yearly World Conferences continued, by the 19th itwould take four years to present the papers.The author himself (David Key) has struggled over many years to develop a

    sound approach to the design of structures in earthquake zones. This book isintended to guide others not only in the basic procedures of design but also topoint out sources of specialised information on the subject when it is beyond thescope of this work.Earthquake engineering has to a large extent slipped out of the hands of the

    practical designer, and into the hands of the specialist, who usually employs asuite of computer programs to provide great quantities of unnecessarily preciseinformation on such subjects as the ground motion spectrum or the dynamicresponse of the building to some long past earthquake which can only bear thevaguest resemblance to any ground motion to which the building could besubjected. In the authors view the principal ingredients in an earthquake-resistantdesign can be categorised as follows.

  • Essential(a) a sound structural concept(b) an understanding of the way in which the structure will behave when

    primary structural elements have yielded(c) an approximate idea of the peak ground acceleration likely to be experi-

    enced, and the predominant frequency(d ) the application of engineering common sense to the fact that the building

    may be violently shaken(e) good detailing( f ) good quality construction and inspection.

    Useful(a) detailed elastic analysis of the structure(b) dynamic analysis of simple models(c) a soilstructure interaction study when justied by the soil and structure

    properties(d ) estimates of the ground motion spectrum.

    The designer is in the end the person who puts all the theory into steel and concrete,and who bears the responsibility for it.This book assumes a competent knowledge of structural design by the reader. It

    is intended as a guide to the normal processes of design, and to provide directionsfor further study when the structural problem is out of the ordinary.

    David Key, 1988

    xii EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • Introduction to the second edition

    Many things have changed since David Key wrote his introduction to the rstedition in 1988, but his approach as outlined above remains just as valid. Themajor changes in seismic engineering can be listed as follows.

    (1) Publication of a European seismic code of practice and signicant develop-ments in codes elsewhere, including the USA.

    (2) A vast increase in the number, availability and quality of earthquake groundmotion recordings, and a better understanding of the inuence of soils andearthquake characteristics on ground motion.

    (3) A greater appreciation of the factors that need to be accounted for in theseismic design of steel structures.

    (4) Transformation of non-linear time-history analysis from a specialist researchmethod to a potentially useful (and actually used) tool for practisingengineers.

    (5) Development of non-linear static (pushover) techniques of analysis.(6) Development of practical methods for assessing and improving the seismic

    resistance of existing structures.(7) Much greater use and experience of seismically isolated structures and those

    with added structural damping, although they still represent only a tinyminority of structures actually built.

    (8) Improved ability to predict the response of soils to earthquake loading,including their potential for liquefaction.

    The second edition has therefore retained the same basic structure and intentionof the original edition, but all sections have been partially or (in most cases) whollyrewritten to reect the changes noted above. The scope has been limited to build-ings, so the chapter in the rst edition covering bridges, tanks, towers and pipelineshas been removed, and replaced with one on the assessment and strengthening ofexisting buildings.

    Edmund Booth, 2005

  • Foreword

    In the introduction to the rst edition of Earthquake design practice for buildings,David Key memorably wrote

    Earthquake engineering has to a large extent slipped out of the hands of thepractical designer, and into the hands of the specialist, who usually employs asuite of computer programs to provide great quantities of unnecessarilyprecise information . . .

    and it was partly for this reason that he directed that rst edition to the needs of thepractical designer, not to those of the earthquake specialist.In the intervening 17 years the science of earthquake engineering has advanced

    enormously, and today it is inconceivable that a large building project would bebuilt in an earthquake area without the advice of a specialist. Indeed EdmundBooth who, with David Key, has so admirably expanded and updated thisbook, is one of todays leading earthquake engineering specialists. But the resultingbook is not written for the specialist. It is remarkable in the way it adheres to themain goal which motivated David Key in the rst place to make earthquakeengineering intelligible and interesting to the non-specialist, practical designer.Today there is of course much more ground to cover than there was in 1988

    the development of codes, the improved understanding of ground motion,new methods of analysis and many innovations in providing for earthquakeresistance and these are all succinctly covered in this new edition with admirableclarity.But the key features that made the rst edition so valuable are still present. First,

    that the approach to earthquake engineering presented derives from the authorsdirect observation of the damage to buildings in large earthquakes; the principalmodes of damage are clearly identied, and many very well chosen photographsare used to illustrate these. This experience is used to inform the design guidancegiven.Second, the book does not depend on a heavily mathematical approach. Rather,

    equations are used sparingly and the authors rely on good, clear descriptions ofstructural behaviour, backed by excellent diagrams, making the text accessibleto all those who have to deal with the design of buildings structures for earthquakeareas, whether as engineers or architects.Third, the book is based on long personal experience by both authors of the

    design of buildings in earthquake areas worldwide, and can thus give authoritativeadvice on the appropriate codes, design procedures and structural arrangements toadopt for both highly seismic areas and areas of low seismicity. This is advice wecan rely on.

  • Special features of this edition which will make it particularly valuable toengineering designers are:

    . its timely account of the Eurocodes, now nally becoming publisheddocuments and soon to become mandatory in some areas, with whichEdmund Booth has been closely involved

    . the excellent chapter on conceptual design, setting out some fundamentalswhich should be thought about while a buildings form and siting are stillbeing developed, andwhich architects as well as engineers will nd illuminating

    . a valuable new chapter on the assessment and strengthening of existing build-ings, an activity whose importance is already growing in many countries, as welook for ways to protect our urban centres from future earthquake disasters

    . an excellent state of the art on seismic isolation, rightly identied by theauthors as an idea whose time has come.

    However, as well as being a practical guide to design, the book is also a valuablereference work, oering excellent bibliographies on all the major topics, andvaluable suggestions for follow-up study where needed.For these reasons and many more this book will be appreciated and enjoyed

    by all those who have responsibility for the design, construction and maintenanceof buildings in earthquake areas, both in the European area and worldwide.

    Professor Robin SpencePresident, European Association for Earthquake EngineeringCambridgeJuly 2005

    xvi EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • Notation

    Notes(1) The units shown for the parameters are to indicate the dimensions of the

    parameters, but other consistent systems of units (involving for examplethe use of millimetres instead of metres) would also be possible.

    (2) Notation not given in this table is dened at the point of occurrence in thetext.

    Symbol Description

    ag Peak ground acceleration: m/s2

    b Width of compression ange of concrete beam: mbf Breadth of ange of steel section: mcu Undrained shear strength of soil: kN/m

    2;Dimensionless coecient in the US code ASCE 7 relating to theupper limit on calculated period of a building

    d Eective depth to main reinforcement in a concrete beam: m;Diameter of bolt or other fastener joining timber members: m

    db Diameter of reinforcing steel in concrete: mdr Relative displacement between points of attachment of an extended

    non-structural element: me Length of the shear link in an eccentrically braced frame (EBF): mF Force: kNf 0c Cylinder strength of concrete: kN/m

    2

    f 0cc Compressive strength of concrete under conning pressure f 1: kN/m2

    f 1 Hydrostatic conning pressure on an element of concrete: kN/m2

    Fa Horizontal force on non-structural element: kNFb Seismic shear at base of building: kNf b Compressive strength of masonry: kN/m

    2

    Felastic Seismic force developing in an elastic (unyielding) system: kNF i Force at level i: kNFplastic Seismic force developing in a plastic (yielding) system: kNFy Yield force: kNf y Yield strength of steel: kN/m

    2

    g Acceleration due to gravity n/s2

    G0 Shear modulus of soil at small strains: kN/m2

    Gs Shear modulus of soil at large shear strain: kN/m2

    H Building height: mh Minimum cross-sectional dimension of beam: m;

    Greater clear height of an opening in a masonry wall: m

  • hef Eective height of a masonry wall: mhs Clear storey height of shear wall between lateral restraints: mhw Overall height of shear wall: m;

    cross-sectional depth of beam: mk Spring stiness: kN/m;

    Dimensionless exponent in equation 6.2 for distribution ofseismic forces with height;

    Dimensionless empirical constant in Table 10.5Keff Secaut stiness of a non-linear system at a given deection: kN/m

    (see Figure 3.24)L Length of a masonry wall: ml Eective unrestrained length of a beam or column: mL Critical span of beam corresponding to formation of plastic hinges

    within span under lateral loading: mL0 Clear span of beam: mlav Average length of shear walls in a building: m (see Table 10.5)Li Structural property dened in equation 3.11: tonnesLpl Eective plastic hinge length: mLv Bending moment to shear force ratio at the critical section of a

    plastic hinge forming in a concrete memberM Magnitude of earthquake;

    Mass: tonnesMs Magnitude of earthquake measured using the surface wave scalemx Mass per unit length at height x: kN/mMA, MB Plastic hinge moments forming at either end of a beam: kNmMi Structural property dened in equation 3.12: tonnesmi Mass at level i: tonnesMp Flexural strength of the shear link in an eccentrically braced frame

    (EBF): kN-mMu Bending moment in a plastic hinge under ultimate conditions:

    kNmN Blow count per 300mm in the Standard Penetration Test (SPT)N1 (60) Corrected SPT blow count: see section 4.3.2(df )n Number of storeys in a buildingP Axial load in a column: kNP1 Probability of exceedence in one yearPy Probability of exceedence in y yearsq Behaviour or force reduction factor for structural systems in

    Eurocode 8qa Behaviour or force reduction factor for non-structural elements in

    Eurocode 8R Response modication or force reduction factor for structural

    systems in the US code IBC;Radius of a friction pendulum isolation bearing: m

    ry Radius of gyration of a beam or column about its minor axis: mS Soil amplication factor in Eurocode 8Sa Spectral acceleration: m/s

    2

    xviii EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • Sai Spectral acceleration corresponding to the period of mode i: m/s2

    Sd Spectral displacement: mSeT Spectral acceleration, based on elastic response, corresponding to

    structural period T : m/s2

    Sv Spectral velocity: m/sT Return period: years;

    Structural period: sT1, T2, T3 Periods of rst, second, third modes of building: sTa Fundamental vibration period of non-structural element: s;

    Empirically determined vibration period of a building: sTB, TC Periods dening the peak of the design response spectrum in

    Eurocode 8: stef Thickness of a masonry wall: mTeff Eective period of a non-linear system at a given displacement: stf Thickness of ange of steel section: muelastic Seismic displacement of elastic (unyielding) system: muplastic Seismic displacement of a plastic (yielding) system: muult Displacement at ultimate capacity: muy Displacement at yield: mv Masonry shear strength under zero compressive load: kN/m2

    V1, V2, V3 Seismic shears at base of building corresponding to rst, second,third modes: kN

    vd Design in-plane shear strength of masonry: kN/m2

    Vp Shear capacity of the shear link in an eccentrically braced frame(EBF): kN

    Vu Shear force in a plastic hinge under ultimate conditions: kNWa Weight of non-structural element: kNX Dimensionless reduction factorx Height above xed base: mz Total height of building above base: mzi Height above base of level i: m

    sl Dimensionless empirical constant in equation 8.4 for plastic hingelength

    Lateral deection: mix Modal deection at height x in mode ip Curvature of a plastic hinge at rotation p: radians/mu Ultimate curvature of a plastic hinge: radians/my Curvature of a plastic hinge at rst yield: radians/m Shear straina Importance factor for non-structural element, in Eurocode 8m Partial factor on material strength Correction factor to adjust response for damping other than 5% Displacement ductility;

    Coecient of friction Reduction factor in Eurocode 8 to convert design displacements at

    ultimate limit state to serviceability limit state

    NOTATION xix

  • p Plastic rotation of a plastic hinge: radiansu Ultimate rotation at a plastic hinge: radiansy Rotation at a plastic hinge at yield: radians Ratio of tension reinforcing steel area to cross-sectional area of

    concrete member;Ratio of force demand on an element to capacity of the element

    0 Ratio of compression reinforcing steel area to cross-sectional areaof concrete member

    v Vertical stress in masonry due to permanent loads: kN/m2

    vo Total vertical stress in soil at the level of interest due to gravityloads: kN/m2

    0vo Eective vertical stress in soil at the level of interest due to gravityloads: kN/m2

    e Eective shear stress in soil under design earthquake loading:kN/m2

    Percentage of critical damping Minimum ratio of resistance moment to design moment at plastic

    hinge position

    xx EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • 10 Masonry

    Masonry materials mortar and stones or bricks are sti and brittle,with low tensile strength, and are thus intrinsically not resistant toseismic forces. However, the earthquake resistance of masonry as acomposite material can vary between good and poor, depending onthe materials used . . . [and] . . . the quality of workmanship.

    Sir Bernard Feilden. In: Between Two Earthquakes Cultural Propertyin Seismic Zones. ICCROM, Rome/Getty Conservation Institute,

    Marina del Rey, CA, 1987

    10.1 IntroductionBrick and stone masonry is a widely available, low-energy material, and the skillsare found all over the world to use them for creating highly practical and oftenbeautiful buildings. However, its low tensile strength limits the available ductilityand places reliance on its ability to sustain high compressive stresses during anearthquake. If the compressive strength is low (as is the case for example withearth bricks or adobe) then the consequences in an earthquake can be disastrous,and often have been (Fig. 1.9). However, well-designed buildings made from good-quality brick or stone can perform well. In US practice, all new masonry buildingsin areas of high seismicity have to be reinforced with steel. By contrast, Eurocode 8permits the use of unreinforced masonry to withstand strong earthquakes,although it is unlikely that a building taller than one or two storeys could bemade to comply with the code if the seismicity is high.

    10.2 Forms of masonry construction and theirperformance in earthquakes

    Masonry consists of blocks or bricks, usually bonded with mortar. A wide varietyof forms exist. The weakest is where cohesive soil is placed in a mould and

    This chapter covers the following topics.

    . The lessons from earthquake damage

    . Characteristics of masonry as a seismic-resisting material

    . Material specication

    . Special considerations for analysis

    . Masonry walls

    . Floors and roofs in masonry buildings

    . Masonry as non-structural cladding

  • sun-dried to form a building block. This type of construction (called adobe in LatinAmerica and elsewhere) is cheap, widely available and requires only basic skills toform, but cannot be relied on to resist strong ground motion. Stabilising the soilwith lime or other cementitious material improves matters.Random rubble masonry consists of rough cut or natural stones held in a matrix

    of soil or mortar. It may form the core of a wall with a cladding of dressed (i.e. cut)stone, called ashlar. The seismic resistance depends on the matrix holding thestones together; if this is weak, the seismic performance will be poor or very poor.Carefully cut rectangular blocks of stone (dressed stone) of good quality

    arranged to resist lateral resistance without developing tensile stresses can possesssurprisingly good earthquake resistance. Here, the presence of vertical prestress,usually coming from the weight of masonry above, is important for two reasons.First, seismically induced tensile stresses may not develop if the prestress is greatenough. Second, the shear strength of dressed stone relies primarily on friction;the higher the contact forces between stones, the higher the shear strength. Sincecompressive gravity loads are higher at the base of a building, often the seismicresistance is also greater, and so often the damage observed in dressed stonemasonry is less at the bottom of a building than at the top (Fig. 10.1). By contrast,

    Fig. 10.1 Increase in seismic damage with height in a stone masonry building,Gujarat, India, 2001

    MASONRY 207

  • the opposite is usually the case for structures in steel and concrete because thehighest seismic forces occur at the bottom of the building (as they do in masonrybuildings) but the gravity preload is likely to weaken steel and concrete structures,rather than strengthening them as it can do in stone masonry. Inducing compres-sive stresses by introducing vertical or inclined steel prestressing cables is thus apowerful way to improve the seismic resistance of good-quality stone masonrybuildings (see Beckmann and Bowles 2004, section 4.5.10)Manufactured bricks or blocks can approach the compressive strength of

    natural stone without requiring the special skills and equipment needed to dressnatural stone. They may be reinforced with steel laid in some of the horizontalmortar bed joints (e.g. every third joint) and with vertical reinforced concreteelements, particularly at corners and around openings; this can form a satisfactoryseismic resisting system. Hollow clay bricks are lighter but much weaker and havenot performed well seismically unless reinforced or conned within a beamcolumn frame (Fig. 10.2). Concrete hollow blocks, often made with lightweightaggregates, are cast with central voids, which can be reinforced and concreted toform a strong, monolithic system (Fig. 10.3). Proprietary brick systems have

    Fig. 10.2 Poor performance of hollow clay tile masonry in Erzincan, Turkey, 1992

    Fig. 10.3 Typical reinforced concrete hollow blocks

    208 EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • Index

    Page references in italics are to illustrations and diagrams. Place names refer to earthquakes

    cited in the text.

    acceleration spectra 4748, 47, 48active systems, seismic isolation

    251252adjacent buildingsbueting 6, 9

    separation 100adobe, weaknesses 15, 206207amplication

    soil eects 3031, 30, 90topographical eects 31, 91

    Anchorage (USA, 1964) 23, 89, 89anchoragesexural steel 166167reinforcements 143144

    ashlar masonry 15, 15, 207208, 207, 214,215

    automatic shutdown valves, services231232

    avalanches, consequential 23, 20

    Baguio (Phillipines, 1990) 14

    bahareque construction 223bamboo construction 223224, 223base isolation, seismic 235

    base shear 53, 53Bauschinger eect 141, 185beam-column joints

    see also moment-resisting frames

    failures 11exural steel, anchorages 166167forces at 76, 77

    moment-resisting frames 160161, 165,165

    steel-framed structures 201202, 202,203, 203

    beamssee also beam-column joints; plastic

    hinges

    capacity design 7576, 76ductilecode requirements 163164detailing 160, 161

    elongation, deection/rotation 146147,147

    moment-resisting frames 199200moments of inertia 154155shear deformation 144, 145

    blocks, compressive strength 210blockwork inll 63

    moment-resisting frames 106boundary elements, shear walls 173bricks, compressive strength 210bridges

    foundations 130piles, superstructure failures 1718,

    18

    seismic isolation 115, 238, 242Bucharest (1978) 112buildings

    see also cladding; oors; foundations;non-structural elements; roofs

    adjacent

    bueting 6, 9separation 100

    appendages, failure 910, 9categories of functions 9697contents, inertial forces of 102damping 4345deections, limiting 101102earthquake resistance 113114earthquake-damaged 261263, 271existing

    performance 256258, 257strengthening 255256

    groups 272historic, restoration 271

  • buildingscontd.massdistribution 100

    equivalent static design 120normal, performance objectives 25periods 41, 44, 121122seismic analysis 7778seismic isolation 114115, 245247strengthening

    analysis 263265costbenet analysis 259methods 266270, 267, 269, 270performance targets 258259

    structural irregularities, earthquakesusceptibility 100

    surveying 261262

    capacity designadvantages 7677beam shear strength 7576, 76beam/column dimensions 160denitions 75

    diaphragms 178exural strength, framing 76, 77foundations 129131overstrength 75

    capacity displacement spectra 4849, 49capacity spectrum method (ATC-40)non-linear static analysis 7073, 72interpretation 73, 7475, 75

    Chile (1985) 91, 136, 137, 174cladding

    displacement sensitive 226, 226, 227228eects of 63glass 232masonry 232

    pre-cast panels 232classications, soils 9799clay brick houses, collapse 8

    clay tiles, hollow, performance 208, 208claysdamping eects 83

    stiness 8283, 82strength 84

    coecient of permeability, soils 137138cohesive soils 84, 9899columns

    see also beam-column jointscyclic loadings, compression 149150deection resistance 101102ductile 160, 162

    code requirements 163164masonry, earthquake resistance 214,

    215

    moment-resisting frames 200201moments of inertia 154155plastic hinges, prevention 76, 77

    reinforced concrete, failures 12shear walls as 110111

    concentrically braced frames (CBF)

    denition 107diagonal 107, 108, 193, 195K-braced 107, 109, 193, 196steel-framed structures 193196, 193V-braced 107, 108109, 193, 195X-braced 107108, 107, 108, 193, 195

    concrete

    see also reinforced concreteconned 142143, 143panel buildings 13, 13

    precast frames 169prestressed 151152, 152unbonded 179

    shear panels 175176, 175specications 152154stressstrain properties 142as structural material 103

    concretesteel composite structures 204conned concrete 142143, 143, 156conned masonry 209, 212

    contents see non-structural elementsCoulomb dampers 241coupled lateraltorsional responses 54, 54

    Dagupan (Philippines, 1990) 17Dalambert force 65damping

    causes of 4344determination 4445energy storage and dissipation 43, 43

    in reinforced concrete structures 155soils 82, 92, 92timber structures 219220viscous 4243, 42

    deection ductility, denitions 55, 56, 57deections

    limiting 101102limits 124storey drift 199

    design objectives, foundations 128129design strength, seismic codes of practice

    124

    276 EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • diaphragmscapacity design 178exibility 178

    oors as 176, 177roofs as 176, 177strength 179

    transfer forces 176, 177, 178displacement spectra 4748, 47displacement-based design see non-linear

    static analysisductile beams 160, 161, 163164ductile columns 160, 162, 163164ductile frames 168

    beam/column dimensions 159160ductile yielding 101ductility

    deection, denitions 55, 56, 57earthquake resistance 101foundations, capacity design 129

    reinforced concrete structures158159

    shear walls 110

    soft-storeys 55, 56, 57ductility demand, denitions 57ductility reduction factors, steel-framed

    structures 192

    ductility supply, denitions 57ductility-modied spectraconstruction of 5859, 59multiple degrees of freedom 61single degree of freedom 5760, 57,

    59

    storey drifts 61dynamic responsesdamping 4244, 42, 43non-linear 40

    resonance 4041, 41

    earthquake resistance 113114ashlar masonry 15, 15, 214, 215

    earthquake susceptibility, structuralirregularities 100

    earthquake-damaged buildingsfoundations 271groups, strengthening policies 272

    historic 271strengthening 261surveying 262263

    earthquakes

    fatalities due to 22, 23fault planes 20, 21, 21

    ground motionresponse spectra 2628, 28time histories 26, 27

    hazard assessments 3334, 33, 34human responses 12intensity scales 22

    magnitude scales 2122numbers, by magnitude 22past, records of 2324, 3334peak ground acceleration 29peak velocity 29probability 24return periods 2425, 3233, 120torsional ground motions 29types 120unpredictability of responses 39

    vertical motions 29and wind resistance 1

    eccentrically braced frames (EBF) 109, 109

    steel-framed structures, link rotation196198, 196, 197

    El Centro (1940, USA) 42, 45

    elastic displacements 34equivalent linear static analysis 6365equivalent static design 120equivalent static forces 65

    Erzincan (Turkey, 1992) 5, 8, 11, 13, 14Eurocode 8

    see also seismic codes of practice

    IBC, comparisons 120126existing buildingsperformance 256258, 257shear walls, retrotting 256257, 257strengthening 255256

    fatalities

    due to earthquakes 22, 23due to natural disasters 22, 23, 24

    fault planes 2021, 21ruptures along 91

    res, timber structures 16, 20, 220ange buckling, structural steel 188190,

    189, 190oorsas diaphragms 176, 177

    exibility 178joist failures 10, 11preliminary sizing 176177strengthening 268269timber structures 220transfer forces 176, 177, 178

    INDEX 277

  • foundationssee also piles; retaining structuresbridges 130

    capacity designductility 129load factors 130

    soil responses 129130soil strengths 130131

    design objectives 128129earthquake-damaged 271footing ties 132133pad and strip, failures 131132, 132, 133raft 133134, 133seismic resistance factors 102103soil liquifaction 3, 17, 17, 138139

    Fourier acceleration spectra 48, 48

    friction pendulum bearings 243, 245, 245Friuli (Italy, 1980) 11

    glass cladding 232granular soils, strength 8384ground-storeys see soft-storeys

    Gujarat (India, 2001)ashlar stability 15, 15, 214, 215parapet failure 9, 207208, 207rubble masonry collapse 7

    hazard assessments, probabalistic 3334,33, 34

    high damping rubber bearings 242243,243, 244, 251

    historic buildings, restoration 271

    historic masonry, overturning 212, 213, 214historical records, past earthquakes 24hospitalscontinuous functioning 225

    performance objectives 2526, 121plant items 227seismic isolation 239

    hysteristic dampers, seismic isolation 241,241, 268, 269

    IBCsee also seismic codes of practiceEurocode 8, comparisons 120126

    intermediate-storey collapse 6internal structure, lateral loadings 168interstorey driftsductility-modied spectra 61

    estimating 199seismic isolation 234, 234

    isolation gaps 235236

    Japan, seismic codes of practice 119

    knee-braced frames 109110, 110Kobe (Japan, 1995)

    res 16, 220liquifaction-induced failures 128port damage 3, 3

    seismic isolation 115, 239steel structures, failure 107, 108, 183184,

    191timber structures 220

    Kocaeli (Turkey, 1999) 20, 116, 117,256257

    landslips, consequential 23, 20, 91leadrubber bearings 242, 243life safety levels 258260linear static analysis, equivalent 6365linear time-history analysis 66frequency domain 6667

    liquifactionassessing potential for 8489, 85consequences of 8990, 89denitions 84

    foundation failures 3, 17, 17loss of intergranular stability 23, 20and porewater pressures 84

    Loma Prieta (USA, 1989) 175, 175

    masonry

    adobe, weaknesses 15, 206207ashlar, stability 15, 15, 207208, 207, 214,

    215blocks/bricks, compressive strength

    210cladding 232clay tiles, hollow 208, 208

    columns, earthquake resistance 214,215

    conned 209, 212

    free-standing, toppling 16, 16historic, overturning 212, 213, 214in-plane failures 16

    in-plane shear strength 210211inll panels 169, 203out-of-planefailure mechanisms 212, 213, 214

    strengths 211212principles of 216218

    278 EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • reinforced 212shear strength 211steel requirements 209

    reinforced concrete blocks 208209, 208rubble 15, 207failure 7

    seismic reduction factors 216shear wall areas 217slender 211, 212

    strengthening, by guniting 270as structural material 103unreinforced 209, 212, 257258shear strength 211

    mass distribution, buildings 100mechanical systems 1819Mexico City (Mexico, 1985)

    cladding failure 226, 226foundations, bearing capacity failure 133,

    133

    reinforced structure collapses 4, 67shear wall performance 256, 257soil conditions 30, 30, 81

    steel-framed structure collapse 8, 183, 183modal response spectrum analysis 6566moment-resisting framesadvantages 104

    beam-column joints 160161, 165, 165blockwork inll 106grid frame 105, 105

    height-to-base ratios 104105internal structure 168masonry inll panels 169, 203

    perimeter frame 105106, 105potential problems 104precast 106shear walls 112

    steel-framed structures 199201multiple degrees of freedom (MDOF)ductility-modied spectra 61, 602

    modal responses 4951, 50base shear 53, 53peak acceleration 51

    spectrum analysis 5253, 52

    non-cohesive soils 23, 9899non-ferrous reinforcements 152non-linear dynamic responses 40non-linear static analysis 6869capacity spectrum method 7073, 72,

    7475, 75static pushover analysis 69, 69, 70

    target displacement method 6970, 73,7475, 75

    non-linear time-history analysis 6768non-structural elements

    see also claddingacceleration-sensitive 226227analysis 228229oor response spectra 229230testing 227, 230

    displacement-sensitive 226, 226, 227228heavy, within roofs 18interaction 102nuclear plant 230231seismic codes of practice 126services 231232tank design 231

    Northridge (USA, 1994)column bursting 12response spectra 2728, 28seismic isolation 115, 239steel structures, failure 183, 184185, 184,

    191

    time histories 26, 27nuclear facilities 115, 230231

    openings, failure triggers 173174, 174overstrength, capacity design 75overturning, historic masonry 212, 213, 214

    P-delta eects 55, 55pad and strip foundationsbearing capacity failures 131, 132, 133

    rotational failures 131, 132sliding failures 131, 132structural failures 132, 132

    partial seismic isolation 250

    peak deection, derivation 4546, 46peak ground accelerations (pga) 29and seismic codes of practice 3435

    peak spring force, derivation 4546, 46peak velocity 29periods

    structuraldetermination 44, 121122fundamental 41

    permeability coecient, soils 137138Peru (1970) 2, 3pilesbridges, superstructure failures 1718, 18connement steel 135detailing measures 135

    INDEX 279

  • piles contd.horizontal eects 134135, 134plastic hinge formation 135

    raking 135136, 136seismic resistance 102103vertical eects 134

    plant rooms, high level 18, 100plastic deformations, structural steel

    182183plastic hingesbeamsdenitions 157158, 158formation 144

    reversing 144, 145rotational 146148, 147, 157158, 157,

    158

    cyclic loadings 147149, 148piles 135prevention of 268

    reverse, sliding 144, 146, 146plastic yielding 101porewater pressure, and soil liquifaction 84

    precast concretecladding 232frames 169panel buildings 13, 13

    tilt-up panels 175, 175prestressed concrete 151152cyclic responses 152, 152

    unbonded 179probabalistic hazard assessments 3334, 33,

    34

    radiation damping 92, 92raft foundations 133134, 133raking piles 135136, 136reinforced concrete

    see also reinforced concrete structures;reinforcements

    beamcolumn joints, failure 11beams 144, 145, 146149, 148capacity design 7576, 76plastic hinge rotation 157158, 157,

    158columns 149150failures 12

    curvaturemoment relationships156157, 156

    cyclic loading behaviour 141

    shear walls 150151, 150reinforced concrete blocks 208209, 208

    reinforced concrete structuressee also moment-resisting frames; shear

    walls

    complete collapse 4damping in 155ductility 158159earthquake damage in 140141frames, design of 159160rotational capacity, elemental 155158,

    156, 157shear resistance 144, 145stiness modelling 154155upper-storey collapse 6

    reinforced masonry 212shear strength 211steel requirements 209

    reinforcementsanchorages 143144mild steel

    cyclic behaviour 141142, 141specications 152154stressstrain relationships 141

    non-ferrous 152reverse cycle loadings 143

    resonancedenition 40

    steady-state response 4041, 41response spectra 28absolute and relative values 47

    acceleration spectra 4748, 47Fourier 48, 48

    advantages 2628, 28analysis 45capacity displacement spectra 4849, 49displacement spectra 4748, 47and peak deection 4546, 46and peak spring force 4546, 46in seismic codes of practice 3435seismic isolation 250

    site-specic 3536velocity spectra 48, 48

    response spectrum analysis, modal 6566retaining structuresactive and passive 136137uid pressures on 137138soil liquifaction 136, 137

    return periodsearthquakes 2425, 3233, 120hazard assessments 33, 33

    reverse plastic hinges, sliding shear failures144, 146, 146

    280 EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • roofsas diaphragms 176, 177exibility 178

    massive 18, 100preliminary sizing 176177transfer forces 176, 177, 178

    rubble masonry 7, 15, 207

    St Johns (Antigua, 1974) 12, 16

    San Fernando (USA, 1971) 10, 10San Francisco (USA, 1906) 1San Francisco (USA, 1989) 16, 220sands

    damping eects 83stiness 82strength 8384

    seismic analysisbuildingsmethods 78

    models 78objectives 7778

    seismic codes of practice

    combined horizontal forces 126deection limits 124design strength 124development of 118

    equivalent static design 120122Eurocode 8/IBC comparisons 120126foundations 125126Japan 119load combinations 124125non-structural elements 126

    performance goals 118119response spectra in 3435seismic isolation 239timber structures 221223universal adoption 117vertical forces 126

    seismic isolation

    active systems 251252analysisaxial rotation 249250response spectra 250rigid isolation layer 248249

    applications 236, 237, 238, 238

    base isolation 235, 250basic principles 234235, 234bearingsfriction pendulum 243, 245, 245

    high damping rubber 242243, 243,244

    leadrubber 242, 243testing 251

    bridges 115, 238, 242

    building design constraints 245247codes of practice 239Coulomb dampers 241

    eects of 235236, 235emergency facilities 239history of 233234horizontal exibility 240, 240hysteristic dampers 241, 241, 268, 269isolation gaps 235236nuclear facilities 115

    partial 250performance 239positioning 247

    re-centring 236, 241242retrotting 238, 238, 247, 250, 270, 270semi-active systems 252253, 252services 235stepping columns 240, 240structural suitability 114115systems 239240vertical motion 236viscous dampers 241

    seismic reduction factors, masonry walls 216

    seismic resistanceeconomics of 115116foundations 102103isolation 114115

    seismicity, areas of 32, 32, 34semi-active systems, seismic isolation

    252253, 252servicesautomatic shutdown valves 231232buried 231

    displacement damage 19electrical 1819seismic isolation 235

    shear behaviour, soils 8182, 81shear failures, sliding, reverse plastic hinges

    144, 146, 146

    shear movements, subsurface 3, 4shear strength, reinforced concrete 144, 145shear walls

    bending moments 150151, 150boundary elements 173compression failures 13, 14concrete 103

    as strength columns 110111coupled 112113, 114

    INDEX 281

  • shear wallscontd.cross-wall construction 111, 111ductility 110

    external, retrotting 256failure 151framewall systems 112

    outriggers 112, 113isolated, aspect ratio 111masonry 217

    moment-resisting frames 112openings, as failure triggers 173174, 174precast 111112precast panels, large 175176, 175sizing 169slenderdenition 150

    failures 151exural strength 170, 170, 171shear strength 170, 170, 171, 172

    tension shift 170171, 172squat 151, 173strength, torsional movements 7

    strengthening buildings by 266267, 267wind motions, contol 112, 113

    Shinhang dam (Taiwan, 1999) 4slender masonry walls 211, 212

    slender shear wallsdenition 150failures 151

    exural strength 170, 170, 171shear strength 170, 170, 171, 172tension shift 170171, 172

    slender strutscyclic loading eect 186187, 187intermediate 187188, 188

    sliding shear failures, reverse plastic hinges

    144, 146, 146slope stability, soils 91soft-storeys

    collapse 5, 100, 220cross-walls, discontinuation 111ductility 55, 56, 57

    prevention of 160soilsamplication eects 3031, 30, 31, 90classication of 9799, 120121claysdamping eects 83stiness 8283, 82

    coecient of permeability 137138cohesive 84, 9899

    compression eects 81damping eects 82radiation 92, 92

    foundations, liquifaction potential138139

    granular, strength 8384inertia 81inuence on planning 97100liquifaction

    assessing potential for 8489, 85consequences of 8990, 89denitions 84foundation failures 3, 17, 17

    and intergranular stability 23, 20and porewater pressures 84potential for 8485, 85, 138139retaining structures 136, 137

    non-cohesive 9899responses, foundations 129130sandsdamping eects 83stiness 82

    strength 8384shear behaviour 8182, 81slope stability 91strength parameters, foundations

    130131structure interaction 31foundations 9293, 92

    Spitak (Armenia, 1988) 13, 13, 106, 112squat shear walls 151, 173static pushover analysis 69, 69, 70

    steelcompressive stresses, reversing loads 185reinforcementscyclic behaviour 141142, 141specications 152154stressstrain relationships 141

    specications 191

    structural 103ange buckling 188190, 189, 190plastic deformations 182183suitability 182183types of damage 13, 15

    struts

    slender 186188, 187, 188stocky 186, 186

    weldsbrittle failures at 184185, 184low-cycle fatigue 185, 190191specications 191192

    282 EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS

  • steelconcrete composite structures 204steel-framed structuresbeamcolumn joints

    bolted 203, 203welded 201202, 202

    collapse 8, 183, 183

    concentrically braced frames 193, 193capacity design 195diagonal and V-braced 193, 195

    eects of 194K-braced 193, 196X-braced 193, 195

    ductility 192, 194

    eccentrically braced frames 196197,197

    link rotation demands 196198, 196exural hinges 192moment-resisting framesbeams 199200columns 200panel zones 200201preliminary sizing 198199

    scale eects 191unbraced, exibility 192193welded box columns, failures 183

    stepping columns, seismic isolation 240, 240

    stocky struts 186reversing loads 186, 186

    strengthening buildings

    analysis 263265by conning jackets 268costbenet analysis 259

    by cross-bracing 267268by oor strengthening 268269groups, policies 272masonry walls, guniting 270

    by passive dampers 268performance targets 258259plastic hinges, prevention of 268

    by seismic isolation 270, 270by shear walls 266267, 267wall-to-oor connections, improving

    269structural collapse, causes 4, 9structural irregularities, earthquake

    susceptibility 100structural materials, choice of 103structural walls see shear wallsstruts

    slendercyclic loading eect 186187, 187

    intermediate 187188, 188stocky 186reversing loads 186, 186

    target displacement methodnon-linear static analysis 6970interpretation 73, 7475, 75

    tectonic plate boundaries 32, 32tilt-up precast concrete panels 175, 175

    timber, uses of 219timber structures 16advantages 103bamboo 223224, 223damping ratios 219220decay 220res 16, 220

    oors, as strength members 220frames 220joints 220, 222

    pancake collapse 220seismic codes of practice 221223soft-storey failure 220

    time-histories 26, 27analysisarticial 36oor response spectra 229230low seismicity areas 3637past events 36

    disadvantages 26

    linear analysis 6667non-linear analysis 6768

    Tokyo (Japan, 1923) 16, 220

    topographical eects, amplication 31, 91torsional ground motions 29tsunamis 20

    Umbria-Marche (Italy, 1997) 257258unbonded prestressed concrete 179unreinforced masonry 209, 212, 257258shear strength 211

    upper-storey collapse, reinforced concretestructures 6

    velocity spectra 48, 48vertical forces 29

    seismic codes of practice 126seismic isolation 236

    viscous dampers, seismic isolation 241

    wall openings, as failure triggers 173174,174

    INDEX 283

  • weak storeys see soft storeysweldsbeamcolumn joints 201202, 202brittle failures at 184185, 184low-cycle fatigue 185, 190191specications and procedures

    191192

    windmotions, contol 112, 113seismic isolation 115

    yielding responsesdealing with 6263signicant 62

    284 EARTHQUAKE DESIGN PRACTICE FOR BUILDINGS