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structure remains elastic. This is equivalent to having no significant intersect betweenthe probabilistic response surface and the structural limit states in Figure 5a.However, such intersect exists in the limit space for the non-structural components,and the magnitude of this intersect (i.e., probability of exceeding the limit space) canbe calculated, and is expected to increase as a function of the earthquake returnperiod. Figure 6c expresses the resulting probability of exceeding the limit space as afunction of the earthquake hazard (itself expressed in probability of exceedence over50 years, in a manner compatible with code documents — 50%, 10% (500 yearsreturn period), and 2% probability of exceedence.. The probable non-structural loss,P NSL , can be expressed by the product of the probability of exceeding the limit state,P LS , and of the value of the non-structural investment, NS INV . For the probableexceedence of the limit space shown in Figure 6c for a design level corresponding toa 500-year return period, Figure 6b shows the resulting non-structural resiliencecurve, with the probable non-structural losses at time t o . The time at full recovery topre-earthquake conditions, t 1 , is entirely related to repair of non-structural damage.Quantification of the seismic resilience curve for the case of non-linear inelasticstructural response differ from the previous case by the presence of a structural loss(i.e., a drop in the value of structural investment due to damage) measurable from thefragility concept since there is now a quantifiable intersect between the probabilisticresponse surface and the structural limit states in Figure 5b. Figure 7b expresses theresulting probability of exceeding the limit space, P LS , as a function of the earthquakehazard, and Figure 7a the corresponding probable loss in the structural investment,P LS . If another earthquake was to occur at time t o + , the probability of exceeding thelimit state would be significantly greater (as shown in Figure 7b), and a further loss inthe structural investment (possibly to collapse) would occur.N INVNS INVStructuralInvestmentP SL = 0Probable Structural LossP SL = P LS x N INVNon-StructuralInvestmentP NSLProbable Non-Structural LossP NSL = P LS x NS INVt 0t 1Timet 0t 1TimeP LSP LS50% in50 Years10% in50 Years2% in50 YearsHazardFigure 6. Probable non-structural loss in case of linear-elastic structuralresponse.167
The probable non-structural loss would be calculated as before, with the onlydifference that if the same earthquake was to re-occur at time t + o , the probability ofexceeding the non-structural limit space could increase or decrease, depending on thetype of non-structural components, and the extent of structural damage (e.g., a“softer” damaged structure might undergo lower floor accelerations but greater floorinterstory drifts). For the purpose of Figures 7c and 7d, the assumption of greaterprobability of non-structural damage is made.N INVStructural Integrity at t ε-N INVStructuralInvestmentStructural Integrity at t ε+StructuralInvestmentt 0t 1Timet 0t 1TimeP LSP LSP LS t ε+Structural Integrity at t ε+P LSStructural Integrity at t ε-Scenario:Structure leftunrepaired andsame earthquakeoccur againt ε-Structural Integrity at t ε-P LSHazard50% in10% in2% in50% in10% in2% in50 Years50 Years50 YearsHazard50 Years50 Years50 Years HazardFigure 7. Case of structural seismic response: (a) Structural resilience curveand corresponding loss in structural integrity as obtained from;(b) Probability of structural loss before earthquake; (c) New structuralresilience curve if structure left unrepaired, based on; (d) probability offailure upon repeat of earthquake.Structural repairs progressively shift the curve of probable losses back to theoriginal condition that existed at the instant before t o (thus equal to the condition att 1 ). This requires a financial investment and one could quantify the cost required toshift from one probabilistic curve to another (unlikely to be a linear relationship).The rate of repair also provides a measure of the rapidity dimension of the resiliencecurve. Note, that repairs to non-structural components may also be required, and thatit is possible to increase the value of the investments (on the basis of the same nonstructuralcomponents and equipments here, not by adding more of them) to above thepre-earthquake condition, enhancing seismic resilience by reducing the probability oflosses in a future repeat of the same earthquake. The benefit of retrofitting prior to anearthquake can also be assessed and quantified using the resiliency concept presentedin Figures 8. To illustrate how this is achieved, the fragility curves at times t o - and t o+168
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PERFORMANCE-BASED SEISMIC DESIGNCON
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CONTENTSTable of Contents..........
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REAL-TIME DYNAMIC HYBRID TESTING OF
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PREFACEThe workshop on “Seismic D
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LIST OF PARTICIPANTSSergio M. Alcoc
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RESOLUTIONSThe International Worksh
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CONCLUSIONS AND RECOMMENDATIONSThe
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nonlinear dynamic) and when they sh
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exists to develop testing protocols
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to be sent soon to the 28 members o
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factor γ I is 1.4 or 1.2 for essen
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i. The well-known relation µ θ -
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γ s =1.15. Values less than 1.0 me
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efore (factor α in Eq.(4)). Materi
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the force demand from the analysis,
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OVERVIEW OF A COMPREHENSIVE FRAMEWO
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ground motion Intensity Measure (IM
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2.2 Simulation of Engineering Deman
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describing the economic losses asso
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practice the localized gravity load
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Whereas financial and insurance org
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AN OUTLINE OF AIJ GUIDELINES FOR PE
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(7) a method of performance evaluat
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where, T: natural period of structu
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6. DAMAGE AND LIMIT DEFORMATIONSThe
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The limit inter-story deformations
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DirectionX-directionY-directionSkew
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HAZARD, GROUND MOTIONS AND PROBABIL
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of events with [X1>x 1 , X 2 >x 2 ,
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2.4 Option C: Sufficient IMs: Estim
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predictions and hence required samp
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PEER has put forward PBSA methodolo
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3.2.1 A DCF Displacement-Based Form
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parameter k (the slope of the hazar
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POST-EARTHQUAKE FUNCTION OF HIGHWAY
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ln( EDP) a b ln ( IM )= + (1)Probab
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terms of global and local bridge pe
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Figure 3. Bridge column component d
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5.2 Method B: MDOF Residual Displac
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calculated using a 2 dimensional mu
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MODELING CONSIDERATIONS IN PROBABIL
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location. Transverse reinforcement
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2.50.1000Spectral Accel. (g)2.01.51
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Results indicate that 33% of the re
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4.1.2 Elastic vs. Inelastic ModelsF
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The increased dispersion leads to h
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AN ANALYSIS ON THE SEISMIC PERFORMA
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The survey stood on the condition t
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who decide the design force levels
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It is interesting to clarify whethe
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concluded that the dependence of in
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Table 10. Problems of performance-b
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DEVELOPMENT OF NEXT-GENERATION PERF
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ground shaking hazard, probable str
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Vulnerability of buildings to losse
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Peak Interstory Drfit Ratio0.120.10
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Conditional Probability ofDamage St
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Probability of Non-Exceedance10.80.
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APPLICATIONS OF PERFORMANCE-BASED E
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PRACTICAL ADAPTATION FOR STAKEHOLDE
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cost premium for the more expensive
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The future techniques will improve
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Benefit-cost ratio(BCR) 2.5UC Berke
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motivation to change the way they w
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CHANGING THE PARADIGM FOR PERFORMAN
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Ideally, the preliminary design of
Page 134 and 135: ModelM1M2M3Table 1. Description of
Page 136 and 137: Sample results from the response-hi
Page 138 and 139: In FEMA 273/356, the intersection o
Page 140 and 141: (M8 and M9) and the isolated frames
Page 142 and 143: THE ATC-58 PROJECT PLAN FOR NONSTRU
Page 144 and 145: The development of next-generation
Page 146 and 147: for these flexible nonstructural co
Page 148 and 149: spectra is several times larger tha
Page 150 and 151: The variability is associated with
Page 152 and 153: functions for a wide variety of non
Page 154 and 155: SIMPLIFIED PBEE TO ESTIMATE ECONOMI
Page 156 and 157: One can show (Porter et al. 2004) t
Page 158 and 159: ( )FDM| EDP= xdm = 1 −FRdm , + 1,
Page 160 and 161: 1. Facility definition. Same as in
Page 162 and 163: Table 1. Approximation of seismic r
Page 164 and 165: The EAL values shown in Figure 3 mi
Page 166 and 167: ASSESSMENT OF SEISMIC PERFORMANCE I
Page 168 and 169: where e -λτ is the discounted fac
Page 170 and 171: IDR 3[rad]σPFAIDR34(g)σ PFA4media
Page 172 and 173: Figure 3a, shows an example of frag
Page 174 and 175: P(C LVCC i |IM )1.00.80.60.40.20.00
Page 176 and 177: E [ L T | IM ]$ 10 M$ 8 M$ 6 M$ 4 M
Page 178 and 179: SEISMIC RESILIENCE OF COMMUNITIES
Page 180 and 181: 2. RESILIENCE CONCEPTSResilience fo
Page 182 and 183: quantification tools could be used
Page 186 and 187: of Figure 7a will be used. It is as
Page 188 and 189: Nigg, J. M. (1998). Empirical findi
Page 190 and 191: acceleration with a 475-year return
Page 192 and 193: limit states, the suggestions given
Page 194 and 195: ∆NSLsi= SϑH(5)iTFor column-sway
Page 196 and 197: Pinto et al., 2004). The probabilit
Page 198 and 199: The main difficulty in assigning a
Page 200 and 201: Crowley, H., R. Pinho, and J. J. Bo
Page 202 and 203: analytical models generally have si
Page 204 and 205: Figure 2. Structure of the response
Page 206 and 207: can be used as a random variable of
Page 208 and 209: 4. DERIVATION OF THE VULNERABILITY
Page 210 and 211: 5. CONCLUSIONSDerivation of vulnera
Page 212 and 213: REFERENCESAbrams, D. P., A. S. Elna
Page 214 and 215: In general, these types of bench-mo
Page 216 and 217: where & x&(t ) = acceleration at th
Page 218 and 219: science building. The lateral load-
Page 220 and 221: emain the same, the magnitude of sl
Page 222 and 223: of sliding thresholds, are desirabl
Page 224 and 225: Retrofit of Nonstructural Component
Page 226 and 227: was developed to accommodate these
Page 228 and 229: tested by Meinheit and Jirsa are us
Page 230 and 231: where D is the maximum drift and N
Page 232 and 233: in predicting damage as well as rep
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4.2.2 Modeling the Data Using Stand
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that the defining demand using a no
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• The influence on the dynamic re
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deviations σ and correlation coeff
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The first three modes of vibration
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Details about the ten records selec
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to allow a quantitative assessment
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Cornell A. C., F. Jalayer, R. Hambu
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limited possibilities of overcoming
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uildings, up to five stories high (
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Efficiency η, %100806040203D-RWBW-
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Table 1. Performance criteria for c
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Because the analytical model strong
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REFERENCESAguilar, G., R. Meli, R.
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tests of its type ever conducted. T
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end work-point to work-point). And
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Fig. 5 shows the actual application
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3Roof Disp. (mm)250200150100500-50-
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Base Shear (kN)Base Shear (kN)40002
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8. CONCLUSIONSBased on the test and
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REAL-TIME DYNAMIC HYBRID TESTING OF
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:::::2004) can be formulated using
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The structure to be simulated is di
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measurements, to the modeling of th
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Figure 8. Two stories (left) and hy
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ROLES OF LARGE-SCALE TEST FOR ASSES
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mid-height in the third story, at w
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cycles were repeated for each ampli
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the tests with ALC panels were excl
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the relationship between the moment
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attachment details adopted for inst
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FULL-SCALE LABORATORY TESTING: STRA
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economic losses resulting from the
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4. OBJECTIVES AND OUTCOME OF STRUCT
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15001000500Shear [kN]0-8.0 -6.0 -4.
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5.1 3D Tests on a Torsionally Unbal
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Non-linear substructuring was recen
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PERFORMANCE BASED ASSESSMENT — FR
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4 x 50 m = 200 mC1 C2 C3h u = 7 mh
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some procedures are (contrary to th
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5 th floor disp. [cm]0.60.0-0.6CC =
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While the global drift of the build
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the use of such connections in eart
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I d = 0.25elastic limitmaximum resi
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As regards the influence of differe
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ON GROUND MOTION DURATION AND ENGIN
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time between the first and last acc
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FyFyFyFFFkk0.03kδδδcover a large
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T5b, T13a, T13b, T20a and T20b can
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Tabled results show that in the cas
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0 0.25 0.5 0.75 1Dkin PfSa[g]0 0.25
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ON DRIFT LIMITS ASSOCIATED WITH DIF
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BehaviourElasticInelasticCollapseDa
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Other factors such as the applied l
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4. MOMENT RESISTING FRAMES4.1 Ducti
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5Ductility factor432100 0.2 0.4 0.6
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5.1 Flexural Structural WallsAn exa
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MODAL PUSHOVER ANALYSIS: SYMMETRIC-
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Floor963SeattleNonlinear RHAFEMA1st
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The peak modal demands r n are then
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9BostonSeattleLos AngelesFloor63RSA
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5. EVALUATION OF MPA: UNSYMMETRIC-P
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Without additional conceptual compl
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AN IMPROVED PUSHOVER PROCEDURE FOR
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for a response governed by the fund
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2.2 Modal ScalingThe principal aim
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2.3 Pushover-History AnalysisSubsti
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(3) Calculate cumulative scale fact
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46.4 58 58 58 58 58 58 58 58 58 58
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EXTENSIONS OF THE N2 METHOD — ASY
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The strength reduction factor due t
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The relations apply to SDOF systems
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in X-direction pushover curves prac
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As an example, an idealized force-d
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The IN2 curve can be used in the pr
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HORIZONTALLY IRREGULAR STRUCTURES:
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Dutta and Das (2002, 2002b and refs
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They tested the procedure on three
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Table 1. Properties of the 4 WallsW
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The following is a summary of two s
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ectangular concrete deck supported
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REFERENCESAlmazan, J. L., and J. C.
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Rosenblueth, E. (1957). “Consider
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instantaneous period of vibration a
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value of the maximum plastic deform
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(a) elastic-perfectly plastic type(
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where a is the constant peculiar to
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Referring to Eq. (15), the natural
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-The effective period obtained by u
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eal damage data, rather than theore
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liquefaction-induced damage. This i
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Figure 5. Selected damage distribut
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Figure 6. Idealized capacity spectr
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I’ for the ductile case, as expec
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This study has shown that a modific
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thickness of the inner wall is usua
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4. EARTHQUAKE GROUND MOTION INPUT A
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5.2 Performance Levels and Limit St
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where λ I jis the occurrence rate
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intensity VI because the number of
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and thus are not considered in seis
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The values of the displacement modi
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constant amplitude loading (CA) or
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deterioration. These are the type o
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members, is the main feature of the
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RESULTS, DISCUSSIONS AND CONCLUSION
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systems, where FEMA estimations are
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The case study is a Hospital in the
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Table 1. Dimensions and amount of r
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4.2 Incremental AnalysisBase shear
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When adding jackets to columns, the
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storyShear in interior Column [ton]
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PERFORMANCE-BASED SEISMIC ASSESSMEN
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2. HYBRID FRAME BUILDINGSTwo precas
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15’ - 0” 15’ - 0”Hybrid fra
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and maximum residual inter-story fr
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As the first step in understanding
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Table 3. Comparison of calculated m
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NEW MODEL FOR PERFORMANCE BASED DES
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(a) interior beam-column joint(b) k
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yxVN =VADjDBABLD jDOV cOVCN= VLV bV
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3.3.2 B-modeThe equilibrium conditi
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3.6 Failure ModeBased on the calcul
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Name ofSpecimenTable 2. Comparison
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EARTHQUAKE ACTIONS IN SEISMIC CODES
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examination of the risk implication
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Bozorgnia and Campbell (2004) find
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structure, the results of inelastic
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hazard curves will often vary throu
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large uncertainties associated with
Page 494 and 495:
A PRAGMATIC APPROACH FOR PERFORMANC
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Relative Height20118160.8140.6 1210
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Yield Strength Coefficient, Cy2.01.
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Yield Strength Coefficient, Cy*1.61
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2.6 Preliminary DesignIn the preced
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4. CONCLUSIONSIn the space availabl
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EXAMINATION OF THE EQUIVALENT VISCO
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of the bilinear model with the ener
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3. STUDY PARAMETERS AND ASSESSMENT
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decided to investigate the accuracy
Page 514 and 515:
DISPLACEMENT(m)DISPLACEMENT (m)DISP
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The results for all 100 earthquake
Page 518 and 519:
CONTRASTING PERFORMANCE-BASED DESIG
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Conceptual design is greatly facili
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2. The availability of cost-of-repa
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There are many questions to be answ
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assess expected NSASS losses. For t
Page 528 and 529:
3.2.2 Design for Tolerable Mean Ann
Page 530 and 531:
THE PERFORMANCE REQUIREMENTS IN JAP
Page 532 and 533:
2.1 Law Enforcement and InspectionT
Page 534 and 535:
Splices and development of reinforc
Page 536 and 537:
as for the rising part of continuou
Page 538 and 539:
compressive stress of concrete is t
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MOLIT Notification No. 1461 outline
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AUTHOR INDEXH. Akiyama.............
Page 544 and 545:
F. Taucer .........................
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PEER 2003/06PEER 2003/05PEER 2003/0
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PEER 2001/13PEER 2001/12Modeling So
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PEER 1999/04 Adoption and Enforceme
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