1.
Introduction                                 American Society of Civil Engineers
This report documents the results of a          (ASCE) prepared the FEMA 356 report,
project for the Department of Homeland          Prestandard and Commentary for the
Security’s        Federal        Emergency      Seismic Rehabilitation of Buildings (the
Management Agency (FEMA) by the                 successor to FEMA 273/274), which was
Applied Technology Council (ATC) to             published by FEMA in 2000. All of these
evaluate and improve the application of         documents present similar approaches.
simplified inelastic analysis procedures for    FEMA 273 and FEMA 356 use a procedure
use with performance-based engineering          known as the Coefficient Method, and
methods for seismic design, evaluation, and     ATC-40 details the Capacity-Spectrum
upgrade of buildings. Chapters 1 through 9      Method. The two approaches are essentially
summarize the developmental efforts and         the same when it comes to generating a
results in concise language to facilitate       “pushover” curve to represent the inelastic
application of the project findings in          forcedeformation behavior of a building.
practice. Chapter 10 contains a summary         They differ, however, in the technique used
and a practical application example using       to calculate the inelastic displacement
the improved procedures. Supporting             demand for a given representation of
information describing the project findings     ground motion.The development of this
in detail are provided in the appendices.       report was instigated by several factors. The
                                                use of NSPs in engineering practice has
This document has been published in two         accelerated since the publication of ATC-
formats: (1) a printed version, which           40 and FEMA 356. Consequently, there is
summarizes the developmental efforts and        valuable information available on the
project findings and includes the               practical application of these inelastic
application example (Chapters 1 through         analysis procedures. In addition to
10), and (2) a complete version of the report   experience with the initial application of
on CD-ROM (inside back cover), which            these performance-based methods by
includes all of the material in the printed     practicing professionals, ongoing research
version plus six appendices containing          promises       important      modifications,
project results and findings. The printed       improvements, and alternatives to current
version of the report is relatively brief to    NSPs. There has also been a large national
facilitate use by design professionals.         investment      in   performance- based
                                                engineering, because of the tangible
1.1 Background                                  prospect of vastly improving seismic design
During the past decade, significant progress    practices. The future effective use of
has been made in performance-based              performance-based engineering depends on
engineering methods that rely on nonlinear      the continued development of reliable and
static analysis procedures (NSPs). In 1996,     credible inelastic analysis procedures. The
ATC published the ATC-40 report, Seismic        intent of the ATC-55 project has been to
Evaluation and Retrofit of Concrete             gather the results of practical experience
Buildings, which was developed with             and relevant research and to develop
funding from the California Seismic Safety      guidance for improving the application of
Commission. In a larger project funded by       nonlinear static analysis procedures to both
FEMA, ATC (under contract to the                existing and new structures.
Building Seismic Safety Council) prepared
the FEMA 273 Guidelines for the Seismic         1.2 Project Purpose and Scope
Rehabilitation of Buildings, and the            The purpose of the ATC-55 project was to
companion FEMA 274 Commentary,                  evaluate 6current NSPs, as described in
which werepublished in 1997 by FEMA.            FEMA 356 and ATC-40 and to develop
Soon thereafter, the
improvements where feasible. The primary         practicing structural engineers can apply
objectives were:                                 the procedures appropriately. Finally, the
• to improve understanding of the inherent       archival aspect recognizes that the
assumptions and theoretical underpinnings        development of inelastic procedures will
of existing and proposed new simplified          continue, and that it is important to record
analysis procedures;                             detailed information from the project for
• to recognize the applicability, limitations,   future reference and use.
and reliability of various procedures;
• to develop guidelines for practicing           The scope of the evaluation of inelastic
engineers on how to apply the procedures to      analysis procedures and the development of
new and existing buildings; and                  recommendations for improvement, as
• to provide direction for researchers on        presented in this document, focus on
issues to consider for future improvements       nonlinear static procedures (NSPs). In light
of simplified inelastic analysis procedures.     of the concerns identified by practicing
                                                 engineers and researchers, the document
Project activities also were guided by the       specifically addresses the following
fact that engineers and researchers have         questions:
similar concerns with respect to inelastic       • How well do current NSPs predict
analysis procedures. Some of the more            maximum global displacement (elastic plus
prominent issues considered are listed           inelastic)?
below:                                           • How well do current NSPs predict effects
• In some cases, different nonlinear static      arising from the multiple-degree-of-
procedures produce significantly different       freedom (MDOF) response of structures?
results for the same building model and          • What modifications might be incorporated
ground motion representation.                    into NSPs to improve accuracy and to
• Current procedures for addressing the          reduce uncertainty associated with the first
degradation of stiffness and strength in         two questions?
structures are ambiguous and unclear.
• The predicted response of short-period         The initial phase of the project, during early
structures seems to be extreme when              2001, focused on the identification and
compared with observed performance.              refinement of important issues related to the
• Since they are based on single-degree-of-      improvement of inelastic seismic analysis
freedom        (SDOF)       approximations,      procedures. Activities included the
nonlinear static procedures may not reliably     solicitation of input from researchers (see
predict important response parameters for        Appendix A.) and practicing engineers (see
some multi degree of freedom (MDOF)              Appendix B.). This information was used to
structures.                                      formulate a plan for the subsequent phases
                                                 of the project, comprising the evaluation of
1.3 Report Scope, Organization and               current procedures and the development of
Contents                                         proposed improvements.
The document is intended to be useful from
the practical, educational, and archival         Several analytical efforts formed the basis
standpoints. Its fundamental purpose is to       for the evaluation of current procedures and
provide guidance that can be used directly       the development of improvements. The first
by engineering practitioners. From an            tested the accuracy of the Coefficient
educational perspective, the report is           Method of FEMA 356 and the Capacity
intended to facilitate a basic conceptual        Spectrum Method of ATC-40 in predicting
understanding of underlying principles, as       global displacement demands, when
well as the associatedcapabilities and           compared to responsehistory analysis of
limitations of the procedures, so that
SDOF oscillators. This effort is described in    observed performance of such structures,
Chapter 3, with detailed results provided in     including:
Appendix C.                                      • models used to predict performance of
                                                 such structures commonly neglect many
During evaluations of both the Coefficient       elements that contribute to their strength;
Method and Capacity Spectrum Method, it          • fixed base models used to predict
became        evident     that    important      structural response neglect foundation
clarifications      regarding       strength     flexibility, resulting in predictions of
degradation 5are applicable to both NSP          smaller periods than that of the actual
approaches. This issue is addressed in           structures;
Chapter 4. Improved procedures for use           • stiff buildings will experience small
with the Coefficient Method are described        displacements even at large ductility
in Chapter 5. Improved procedures for use        demand and thus may experience only
with the Capacity Spectrum Method, are           limited damage; and
described in Chapter 6. Supplementary            • in addition to foundation flexibility, other
information and data on the equivalent           soilstructure interaction effects can
linearization approach are provided in           significantly reduce the response of some
Appendix D. Chapter 7 describes an               stiff structures to ground shaking.
independent analysis that was implemented
to test the accuracy of the procedural           In part, these effects can be addressed by
improvements described in Chapters 5 and         more accurate analytical models that
6. Comparisons with results using the            incorporate all structural and nonstructural
original procedures are provided. For many       elements significant to structural response
years, researchers have observed that the        as well as the flexibility of foundations.
predicted inelastic displacement response        Soil-structure interaction effects are of
of oscillators, with periods in excess of        particular importance. Chapter 8 describes
about 1 second, is often very similar to the     analysis techniques for SSI effects that have
predicted displacement response of elastic       been adapted for use with nonlinear static
oscillators having the same period. This has     procedures and detailed supporting
led to the so called “equal displacement         information on soilstructure interaction is
approximation.”                                  provided in Appendix E. Multi-degree-of-
                                                 freedom effects are addressed in Chapter 9,
Researchers have also recognized that the        which summarizes a comprehensive
predicted inelastic response of oscillators      analysis of five example buildings to
with short periods, less than approximately      illustrate the application and limitations of
0.5 seconds, are often significantly larger      simplified techniques to account for MDOF
than the predicted response of elastic           effects within current NSPs. Details are
structures of the same period, particularly if   provided in Appendix F. Finally, Chapter
the structures are both very stiff and very      10 comprises a complete summary of the
weak. When this principle is applied using       results of the efforts and the suggested
nonlinear analysis techniques to the             improvements from a practical perspective.
performance of small, stiff buildings, such      Chapter 10 concludes with a detailed
as those that comprise much of the building      example application of the suggested
inventory in the United States, very poor        improved procedures to a building
performance and extreme damage is often          structure.
predicted. This has created a paradox, in
that such buildings have generally been
observed to experience limited damage in
past earthquakes. Several factorscontribute
to this conflict between predicted and