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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.

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    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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    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

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    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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    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

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    IBC / CBC-2007/ ASCE 7 / ASCE-41 DESIGN SPECTRUM

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    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

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    Equivalent Lateral Force Procedure

    Source: FEMA 451B

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    Transition Periods for Conterminous United States

    Source: FEMA 451B

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    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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    Steps in Deterministic Seismic Hazard Analysis

    Source: FEMA 451B

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    Ground Motion Attenuation

    Source: FEMA 451B

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    Attenuation with Distance

    Source: FEMA 451B

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    Example Deterministic Analysis (Kramer)

    Source: FEMA 451B

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    Steps in Probabilistic Seismic Hazard Analysis

    Source: FEMA 451B

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    Example Probabilistic Analysis (Kramer)

    Source: FEMA 451B

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    Result of Probabilistic Hazard Analysis

    Source: FEMA 451B

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    Relationship Between Return Period, Period of Interest,

    and Probability of Exceedance

    Source: FEMA 451B

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    Use of PGA Seismic Hazard Curve

    Source: FEMA 451B

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    Use of 0.2 Sec. Seismic Hazard Curve

    Source: FEMA 451B

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    10% in 50 Year Elastic Response Spectrum

    Source: FEMA 451B

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    Uniform Hazard Spectrum

    Source: FEMA 451B

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    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

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    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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    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

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    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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    Location of Deterministic Areas

    Source: FEMA 451B

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    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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    ASCE 7-05 Maps: 0.2 Second Spectral Response (SS)

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    ASCE 7-05 Maps: 1.0 Second Spectral Response (S1)

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    2% in 50 Year 5% Damped MCE Elastic Spectra

    Site Class B (Firm Rock)

    Source: FEMA 451B

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    Site Amplification Effects

    Source: FEMA 451B

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    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

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    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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    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.

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    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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    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.

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    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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    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.

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    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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    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.

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    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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    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

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    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.

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    Scaling for 2-D Analysis

    Source: FEMA 451B

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    Scaling for 2-D Analysis

    Source: FEMA 451B

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    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

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    Chapter 18: Seismic Design

    Requirements for Structures

    with Damping Systems

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