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Farzad Naeim Structural Dynamics for Practicing Engineers 1of 51
(Last Revision Date: 5-26-2009)
Part III:Review of Selected
Provisions of
ASCE 7 and CBC
Farzad Naeim, Ph.D., S.E., Esq.Farzad Naeim, Ph.D., S.E., Esq.Vice President and General CounselVice President and General Counsel
John A. Martin & Associates, Inc.John A. Martin & Associates, Inc.
Farzad Naeim Structural Dynamics for Practicing Engineers 2of 51
(Last Revision Date: 5-26-2009)
ASCE 7-05: Bring Your Copy to the Lecture
We will review and highlight someWe will review and highlight someimportant provisions of the followingimportant provisions of the followingchapters:chapters: Chapter 11: Section 11.4.7 and stateChapter 11: Section 11.4.7 and state
amendments to it in CBC 1614A.1.2amendments to it in CBC 1614A.1.2
Chapter 12: Sections 12.7 and 12.9Chapter 12: Sections 12.7 and 12.9
Chapter 21: SiteChapter 21: Site--Specific Ground MotionSpecific Ground MotionProceduresProcedures
Chapter 16: Seismic Response HistoryChapter 16: Seismic Response HistoryProceduresProcedures
Chapter 17: Seismic Design RequirementsChapter 17: Seismic Design Requirementsfor Seismically Isolated Structuresfor Seismically Isolated Structures
Chapter 18: Seismic Design RequirementsChapter 18: Seismic Design Requirementsfor Structures with Damping Systemsfor Structures with Damping Systems
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Farzad Naeim Structural Dynamics for Practicing Engineers 3of 51
(Last Revision Date: 5-26-2009)
Elastic vs. Inelastic Response
TheThe red linered line showsshows
the force andthe force anddisplacement thatdisplacement thatwould be reached ifwould be reached ifthe structurethe structurerespondedrespondedelastically.elastically.
TheThe green linegreen lineshows the actualshows the actualforce vs.force vs.displacementdisplacementresponse of theresponse of thestructurestructure
TheThe pink linepink lineindicates theindicates theminimum strengthminimum strengthrequired to holdrequired to holdeverything togethereverything togetherduring inelasticduring inelasticbehaviorbehavior
TheThe blue lineblue line is theis theforce level that weforce level that wedesign for.design for.
We rely on theWe rely on theductility of theductility of thesystem to preventsystem to preventcollapse.collapse. from Dr. T. Bart Quimby Lecture Notes
Farzad Naeim Structural Dynamics for Practicing Engineers 4of 51
(Last Revision Date: 5-26-2009)
IBC, CBC ASCE-7 Analysis Procedure
1. Determine building occupancy category (I-IV)
2. Determine basic ground motion parameters (SS, S1)
3. Determine site classification (A-F)
4. Determine site coefficient adjustment factors (Fa, Fv)
5. Determine design ground motion parameters (SdS, Sd1)
6. Determine seismic design category (A-F)
7. Determine importance factor
8. Select structural system and system parameters
(R, Cd, o)
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Farzad Naeim Structural Dynamics for Practicing Engineers 5of 51
(Last Revision Date: 5-26-2009)
IBC, CBC ASCE-7 Analysis Procedure
9. Examine system for configuration irregularities10. Determine diaphragm flexibility (flexible, semi-rigid, rigid)
11. Determine redundancy factor ()
12. Determine lateral force analysis procedure
13. Compute lateral loads
14. Add torsional loads, as applicable
15. Add orthogonal loads, as applicable
16. Perform analysis
17. Combine results
18. Check strength, deflection, stability
Farzad Naeim Structural Dynamics for Practicing Engineers 6of 51
(Last Revision Date: 5-26-2009)
IBC / CBC-2007/ ASCE 7 / ASCE-41 DESIGN SPECTRUM
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Farzad Naeim Structural Dynamics for Practicing Engineers 7of 51
(Last Revision Date: 5-26-2009)
Methods of Analysis
The equivalent lateral force method (ELF) is allowed
for all buildings in SDC B and C. It is allowed in allSDC D, E, and F buildings EXCEPT:
Any structure with T > 3.5 Ts
Structures with T < 3.5 Ts and with Plan
Irregularity 1a or 1b or Vertical Irregularity 1,
2 or 3.
When the ELF procedure is not allowed, analysis
must be performed by the response spectrum
analysis procedure or by the linear (or nonlinear)response history analysis procedure.
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 8of 51
(Last Revision Date: 5-26-2009)
Equivalent Lateral Force Procedure
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 9of 51
(Last Revision Date: 5-26-2009)
Transition Periods for Conterminous United States
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 10of 51
(Last Revision Date: 5-26-2009)
Approaches to Seismic Hazard Analysis
Deterministic
The earthquake hazard for the site is a peak ground
acceleration of 0.35g resulting from an earthquake
of magnitude 6.0 on the Whittier Fault at a distance of
12 miles from the site.
Probabilistic
The earthquake hazard for the site is a peak ground
acceleration of 0.28g with a 2 percent probability of
being exceeded in a 50-year period.
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 11of 51
(Last Revision Date: 5-26-2009)
Steps in Deterministic Seismic Hazard Analysis
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 12of 51
(Last Revision Date: 5-26-2009)
Ground Motion Attenuation
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 13of 51
(Last Revision Date: 5-26-2009)
Attenuation with Distance
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 14of 51
(Last Revision Date: 5-26-2009)
Example Deterministic Analysis (Kramer)
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 15of 51
(Last Revision Date: 5-26-2009)
Steps in Probabilistic Seismic Hazard Analysis
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 16of 51
(Last Revision Date: 5-26-2009)
Example Probabilistic Analysis (Kramer)
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 17of 51
(Last Revision Date: 5-26-2009)
Result of Probabilistic Hazard Analysis
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 18of 51
(Last Revision Date: 5-26-2009)
Relationship Between Return Period, Period of Interest,
and Probability of Exceedance
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 19of 51
(Last Revision Date: 5-26-2009)
Use of PGA Seismic Hazard Curve
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 20of 51
(Last Revision Date: 5-26-2009)
Use of 0.2 Sec. Seismic Hazard Curve
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 21of 51
(Last Revision Date: 5-26-2009)
10% in 50 Year Elastic Response Spectrum
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 22of 51
(Last Revision Date: 5-26-2009)
Uniform Hazard Spectrum
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 23of 51
(Last Revision Date: 5-26-2009)
Uniform Hazard Spectrum
Developed from probabilistic analysisDeveloped from probabilistic analysis
All ordinates have equal probability ofAll ordinates have equal probability of
exceedanceexceedance
Represents contributions from small local,Represents contributions from small local,
large distant earthquakeslarge distant earthquakes
May be overly conservative for modalMay be overly conservative for modal
response spectrum analysisresponse spectrum analysis
May not be appropriate for artificial groundMay not be appropriate for artificial ground
motion generationmotion generation
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 24of 51
(Last Revision Date: 5-26-2009)
Probabilistic vs Deterministic Seismic Hazard Analysis
The probabilistic approach is capable
of integrating a wide range of
information and uncertainties into a
flexible framework.
Unfortunately, its highly integrated
framework can obscure those elements
which drive the results, and its highly
quantitative nature can lead to falseimpressions of accuracy.
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 25of 51
(Last Revision Date: 5-26-2009)
Maximum Considered Earthquake (MCE)
The MCE ground motions are definedas the maximum level of earthquake
shaking that is considered as
reasonable to design normal structures
to resist.
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 26of 51
(Last Revision Date: 5-26-2009)
ASCE 7 (USGS) Seismic Hazard for Design Maps
5% damped, 2% in 50 years, Site Class B(firm rock)
0.2 second and 1.0 second spectral ordinatesprovided
On certain faults in California, Alaska, Hawaii,and CUS Provisions values are deterministiccap times 1.5. Outside deterministic areas,Provisions maps are the same as the USGSmaps.
USGS longitude/latitude and zip code valuesare probabilistic MCE. To avoid confusion,
ALWAYS use Provisions (adopted by ASCEand IBC) maps for design purposes.
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 27of 51
(Last Revision Date: 5-26-2009)
Location of Deterministic Areas
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 28of 51
(Last Revision Date: 5-26-2009)
Deterministic Cap
Applies only where probabilistic values
exceed highest design values from old maps.
The deterministic procedure for mapping
applies:
For known active faults
Uses characteristic largest earthquake on fault
Uses 150% of value from median attenuation
Use deterministic value if lower than 2% in 50
year value
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 29of 51
(Last Revision Date: 5-26-2009)
ASCE 7-05 Maps: 0.2 Second Spectral Response (SS)
Farzad Naeim Structural Dynamics for Practicing Engineers 30of 51
(Last Revision Date: 5-26-2009)
ASCE 7-05 Maps: 1.0 Second Spectral Response (S1)
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Farzad Naeim Structural Dynamics for Practicing Engineers 31of 51
(Last Revision Date: 5-26-2009)
2% in 50 Year 5% Damped MCE Elastic Spectra
Site Class B (Firm Rock)
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 32of 51
(Last Revision Date: 5-26-2009)
Site Amplification Effects
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 33of 51
(Last Revision Date: 5-26-2009)
Site Amplification Effects
Amplification of ground motion Longer duration of motion
Change in frequency content of motion
Not the same as soil-structure interaction
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 34of 51
(Last Revision Date: 5-26-2009)
ASCE 7-05 Section 11.4.7
11.4.7 Site-Specific Ground Motion Procedures.The
site-specific ground motion procedures set forth in
Chapter 21 are permitted to be used to determine ground
motions for any structure. A site response analysis shall
be performed in accordance withSection 21.1for
structures on Site Class F sites, unless the exception to
Section 20.3.1is applicable. For seismically isolated
structures and for structures with damping systems on
sites withS1 greater than or equal to 0.6, a ground
motion hazard analysis shall be performed in accordance
withSection 21.2.
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Farzad Naeim Structural Dynamics for Practicing Engineers 35of 51
(Last Revision Date: 5-26-2009)
Section 20.3.1 Exception
20.3.1 Site Class F. Where any of the following conditions is
satisfied, the site shall be classified as Site Class F and a siteresponse analysis in accordance withSection 21.1shall beperformed.
1. Soils vulnerable to potential failure or collapse under seismicloading, such as liquefiable soils, quick and highly sensitiveclays, and collapsible weakly cemented soils.
EXCEPTION: For structures having fundamental periods ofvibration equal to or less than 0.5 s, site-response analysis is
not requiredto determine spectral accelerations for liquefiablesoils. Rather, a site class is permitted to be determined inaccordance with Section 20.3 and the corresponding values ofFa andFvdetermined from Tables 11.4-1 and 11.4-2.
Farzad Naeim Structural Dynamics for Practicing Engineers 36of 51
(Last Revision Date: 5-26-2009)
Chapter 21 of ASCE 7-05
This Chapter describes requirements for siteThis Chapter describes requirements for site--specific ground motionspecific ground motion
proceduresprocedures
Section 21.1 describes the requirements for Site Response AnalysSection 21.1 describes the requirements for Site Response Analyseses
Section 21.2 describes the requirements for constructionSection 21.2 describes the requirements for construction
of MCE design Spectrum using:of MCE design Spectrum using:
The probabilistic method andThe probabilistic method and
Application of the deterministic cap as described in previous slApplication of the deterministic cap as described in previous slides. Theides. The
deterministic cap is 1.5 times mean deterministic valuesdeterministic cap is 1.5 times mean deterministic values
The deterministic cap is subjected to minimum values specified iThe deterministic cap is subjected to minimum values specified in Sectionn Section
21.2.321.2.3
Section 21.3 simply states that design values shall be taken asSection 21.3 simply states that design values shall be taken as 2/3 of2/3 of
MCE valuesMCE values Section 21.4 places lowerSection 21.4 places lower--bound limits obtained from sitebound limits obtained from site--specificspecific
analysis in comparison with values established in Chapter 11.analysis in comparison with values established in Chapter 11.
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Farzad Naeim Structural Dynamics for Practicing Engineers 37of 51
(Last Revision Date: 5-26-2009)
CBC Amendments to Site Response Analysis
Requirements of ASCE-7-05 (Section 11.4.7)
Section 16.14A.1.2 of 2007 CBC amends SectionSection 16.14A.1.2 of 2007 CBC amends Section
11.4.7 of ASCE 711.4.7 of ASCE 7--05 as follows:05 as follows:
Site Response AnalysisSite Response Analysis
1.1. Site response analysis shall be performed per ASCE 7Site response analysis shall be performed per ASCE 7
Section 21.1 and site specific ground motion developedSection 21.1 and site specific ground motion developed
per ASCE 7 Section 21.2 ifper ASCE 7 Section 21.2 if
a)a) Site soil isSite soil is Type EType E and mapped MCEand mapped MCE SSss > 2.0g> 2.0g
b)b) Site soil isSite soil is Type FType F..
EXCEPTIONS:EXCEPTIONS:
1.1. IfIfSSss < 2.0g soil< 2.0g soil Type EType E may be usedmay be used
2.2. If Exception to ASCE 7 Section 20.3.1 is applicable andIf Exception to ASCE 7 Section 20.3.1 is applicable and
building is not base isolated.building is not base isolated.
Farzad Naeim Structural Dynamics for Practicing Engineers 38of 51
(Last Revision Date: 5-26-2009)
CBC Amendments to Site Response Analysis
Requirements of ASCE-7-05 (Section 11.4.7)
Section 16.14A.1.2 of 2007 CBC amends SectionSection 16.14A.1.2 of 2007 CBC amends Section
11.4.7 of ASCE 711.4.7 of ASCE 7--05 as follows:05 as follows:
Ground Motion Hazard Analysis (SiteGround Motion Hazard Analysis (Site--Specific HazardSpecific Hazard
Analysis)Analysis)
2.2. Site specific ground motion developed per ASCE 7Site specific ground motion developed per ASCE 7
Section 21.2 whenSection 21.2 when
a)a) TimeTime--history response analysis is being performed as part ofhistory response analysis is being performed as part of
the designthe design
b)b) The building is located within 10 kilometers of an active faultThe building is located within 10 kilometers of an active fault
c)c) For seismically isolated structures and for structures withFor seismically isolated structures and for structures with
damping systems.damping systems.
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Farzad Naeim Structural Dynamics for Practicing Engineers 39of 51
(Last Revision Date: 5-26-2009)
ASCE 7-05 Modeling Criteria (Section 12.7)
12.7 MODELING CRITERIA
12.7.1 Foundation Modeling.For purposes of determining seismic loads, it is permittedto consider the structure to be fixed at the base. Alternatively, where foundationflexibility is considered, it shall be in accordance with Section 12.13.3 or Chapter 19.
12.7.2 Effective SeismicWeight.The effective seismic weight,W, of a structure shallinclude the total dead load and other loads listed below:
1. In areas used for storage, a minimum of 25 percent of the floor live load (floor
live load in public garages and open parking structures need notbe included).
2. Where provision for partitions is required by Section 4.2.2 in the floor load
design, the actual partition weight or a minimum weight of 10 psf (0.48 kN/m2)
of floor area, whichever is greater.
3. Total operating weight of permanent equipment.
4. Where the flat roof snow load,Pf, exceeds 30 psf (1.44 kN/m2), 20 percent of
the uniform design snow load, regardless of actual roof slope.
Farzad Naeim Structural Dynamics for Practicing Engineers 40of 51
(Last Revision Date: 5-26-2009)
ASCE 7-05 Modeling Criteria (Section 12.7)
12.7 MODELING CRITERIA
12.7.3 Structural Modeling.A mathematical model of the structure shall be constructed forthe purpose of determining member forces and structure displacements resulting fromapplied loads and any imposed displacements or P-Delta effects.
The model shall include the stiffness and strength of elements that are significant to thedistribution of forces and deformations in the structure and represent the spatialdistribution of mass and stiffness throughout the structure.
Structures that have horizontal structural irregularity Type 1a,1b, 4, or 5 of Table 12.3-1 shallbe analyzed using a 3-D representation.
Where a 3-D model is used, a minimum of three dynamic degrees of freedom consisting of
translation in two orthogonal plan directions and torsional rotation about the vertical axisshall be included at each level of the structure.
Where the diaphragms have not been classified as rigid or flexible in accordance with Section12.3.1, the model shall include representation of the diaphragms stiffness characteristicsand such additional dynamic degrees of freedom as are required to account for theparticipation of the diaphragm in the structures dynamic response.
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Farzad Naeim Structural Dynamics for Practicing Engineers 41of 51
(Last Revision Date: 5-26-2009)
ASCE 7-05 Modeling Criteria (Section 12.7)
12.7 MODELING CRITERIA
12.7.3 Structural Modeling (continued).
In addition, the model shall comply with the following:
a. Stiffness properties of concrete and masonryelements shall consider the effects of crackedsections.
b. For steel moment frame systems, the contribution ofpanel zone deformations to overall story drift shall beincluded.
Farzad Naeim Structural Dynamics for Practicing Engineers 42of 51
(Last Revision Date: 5-26-2009)
ASCE 7-05 Modal Response Analysis (Section 12.9)
1.1. Compute modal properties for each modeCompute modal properties for each mode
a)a) PeriodsPeriods
b)b) Mode shapesMode shapes
c)c) Modal participation factorsModal participation factors
d)d) Effective modal massesEffective modal masses
2.2. Determine number of modes to use in analysis.Determine number of modes to use in analysis.
Use a sufficient number of modes to capture atUse a sufficient number of modes to capture at
least 90% of total mass in each directionleast 90% of total mass in each direction
3.3. Using the spectrum curve or table compute spectralUsing the spectrum curve or table compute spectral
accelerations for each contributing modeaccelerations for each contributing mode4.4. Multiply spectral accelerations by modalMultiply spectral accelerations by modal
participation factor and by (participation factor and by (I/RI/R))
5.5. Compute modal displacements for each modeCompute modal displacements for each mode
Source: FEMA 451B
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Farzad Naeim Structural Dynamics for Practicing Engineers 43of 51
(Last Revision Date: 5-26-2009)
ASCE 7-05 Modal Response Analysis (Section 12.9)
6.6. Compute element forces in each modeCompute element forces in each mode
7.7. Statistically combine (SRSS or CQC) modal displacements toStatistically combine (SRSS or CQC) modal displacements to
determine system displacementsdetermine system displacements
8.8. Statistically combine (SRSS or CQC) component forces toStatistically combine (SRSS or CQC) component forces to
determine design forcesdetermine design forces
9.9. If the design base shear based on modal analysis is less thanIf the design base shear based on modal analysis is less than
85% of the base shear computed using ELF (and85% of the base shear computed using ELF (and T =T = TTaaCCuu), the), the
member forces resulting from the modal analysis andmember forces resulting from the modal analysis and
combination of modes must be scaled such that the base shearcombination of modes must be scaled such that the base shear
equals 0.85 times the ELF base shear.equals 0.85 times the ELF base shear.
10.10. Add accidental torsion as a static loading and amplify ifAdd accidental torsion as a static loading and amplify if
necessarynecessary
11.11. For determining drift, multiply the results of the modal analysiFor determining drift, multiply the results of the modal analysiss
(including the(including the I/RI/R scaling but not the 85% scaling) byscaling but not the 85% scaling) by CCdd/ I/ I..
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 44of 51
(Last Revision Date: 5-26-2009)
Chapter 16: Seismic Response
History Procedures
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Use a minimum of 3 earthquake ground motionsUse a minimum of 3 earthquake ground motions
(pairs)(pairs)
If you use 3 you need to use the maximum responseIf you use 3 you need to use the maximum response
parameters obtained.parameters obtained.
If you use 7 or more you can use the average valuesIf you use 7 or more you can use the average values
of response parameters obtained.of response parameters obtained.
Ground motions must be scaled such that theGround motions must be scaled such that the
average value of the 5% damped response spectra ofaverage value of the 5% damped response spectra of
the suite of motions is not less than the designthe suite of motions is not less than the design
response spectrum in the period rangeresponse spectrum in the period range 0.2T0.2T toto 1.5T1.5T,,
wherewhere TT is the fundamental period of the structure.is the fundamental period of the structure.
Farzad Naeim Structural Dynamics for Practicing Engineers 46of 51
(Last Revision Date: 5-26-2009)
Scaling for 2-D Analysis
Source: FEMA 451B
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(Last Revision Date: 5-26-2009)
Scaling for 2-D Analysis
Source: FEMA 451B
Farzad Naeim Structural Dynamics for Practicing Engineers 48of 51
(Last Revision Date: 5-26-2009)
Scaling for 3-D Analysis
The square root of the sum of the squares of the 5%The square root of the sum of the squares of the 5%
damped spectra of each motion pair (Ndamped spectra of each motion pair (N--S and ES and E--WW
components) is constructedcomponents) is constructed
Each pair of motions should be scaled such that theEach pair of motions should be scaled such that the
average of the SRSS spectra of all component pairsaverage of the SRSS spectra of all component pairs
is not less than 1.3 times theis not less than 1.3 times the thethe 5% damped design5% damped design
spectrum in the period range 0.2 to 1.5 T.spectrum in the period range 0.2 to 1.5 T.
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Chapter 17: Seismic Design
Requirements for Seismically
Isolated Structures
Farzad Naeim Structural Dynamics for Practicing Engineers 50of 51
(Last Revision Date: 5-26-2009)
Chapter 18: Seismic Design
Requirements for Structures
with Damping Systems
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(Last Revision Date: 5-26-2009)
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