ATC-404.1ATC40(AppliedTechnologyCouncil1996)ATC40(PerformanceObjectives)ATC40(CapacitySpectrumMethod)ADRS(Acceleration-DisplacementResponseSpectra)(DemandSpectrum)(CapacitySpectrum)(PushoverAnalysis)(PerformancePoint)(StructureCapacityCurve)(ElasticResponseSpectrum)ADRSATC40(AcceptanceCriteria)54.2(CapacityCurve)ATC40(1)(4.1)tFVhwhwFxxxxx∑=(4.1)xwxxhx(2)VwwFxxxxx∑=φφ(4.2)xφ(Pushoveranalysis)4.3(ElasticResponseSpectrum)ATC-40ACVCAC2.55VC5ACVC4.152.5ACTCV/ATSTACEPA=AC5.2TCV/SAAVSTTCCT2.05.2/==4.14.4ADRSADRS(Acceleration-DisplacementResponseSpectra)dSaSADRSADRSnnTπω2=(4.3)dnaSS2ω=(4.4)4.34.4adSTS=224π(4.5)roof∆VADRSmamimmimSPFaφ=(4.6)()()=∑∑==NiimiNiimimgwgwPF121//φφ(4.7)mPFm4.7imφimgwi/iNamSmF=mamgwSPFFiamimmim/φ=(4.8)V∑∑====NiiamimmNiimmgwSPFFV11/φ∑==NiiimmamgwPFS1/φ()gwgwgwSiNiimNiimiNiimiam///)(1121∑∑∑===×=φφφ()∑∑===NiimiNiimiamgwgwS1221//φφ()∑∑∑∑====××=NiiNiiNiimiNiimiamgwgwgwgwS111221////φφammMSα=(4.9)mmamMVSα/=(4.10)mmMmαm(4.11)())(/)(//12121lessunitgwgwgwNiimiNiiNiimim−=∑∑∑===φφα(4.11)ADRS1/αMVSa=(4.12)4.6droofroofSPF1,1φ=∆(4.13)1,1roofroofdPFSφ∆=(4.14)dSADRS1PF(4.7)1,roofφ4.124.14ADRS4.2ADRS(Pushover)ADRS4.54.21T2T3T4.2ADRS4.5(InherentDamping)(HystereticDamping)(4.3)(EquivalentViscousDamping)05.00+=ββeq(4.15)eqβ0.050βpid[15]SoDEEπβ410=(4.16)SoEDEydpidyapiainitialKeffectiveK4.3DE4.4)222(4321AAAdaEpiapiD−−−=[])(2))((4ypiyypiypiyypipiaadaadddada−−−−−−=)(4piypiyadda−=(4.17)SoE4.3SoE2/pipiSodaE=(4.18)ydpidyapia1A1A2A2A3A3A()()()()[]ypiypiyyyypiddaaAdaAdaaA−×−=×=×−=3212/4.4DE4.174.184.162/)(4410pipipiypiydaadda−=πβpipipiypiydaadda−=π2()pipipiypiydaadda−=637.0(4.19)pipipiypiydaadda)(7.630−=β(4.20)50+=ββeq5)(7.63+−=pipipiypiydaadda(4.21)4.3(pinching)ATC404.1TYPEA4.31.0TYPEB=2/3TYPEC(pinching)=1/34.24.21eqβeffβ50+=κββeff5)(7.63+−=pipipiypiydaaddaκ(4.22)4.22effβ4.234.24(Newmark&Hall,1982)5512.2)ln(68.021.31effsABSRβ−≈=12.25)(37.6ln68.021.3+−−=pipipiypiydaaddaκ(4.23)65.1)ln(41.031.21effLVBSRβ−≈=65.15)(7.63ln41.031.2+−−=pipipiypiydaaddaκ(4.24)ASRVSR4.3ASRVSR4.234.244.14.20βκ25.16≤25.1625≤250.1()pipipiypiydaadda−−51.013.167.0()pipipiypiydaadda−−446.0845.04.3ASRVSRASRVSRASRVSR4.6(PerformancePoint)ADRSASRVSRATC40(PerformancePoint)4.6.1ProcedureA1.52.ADRS(4.5)3.(pid,pia)(4.6)4.4.721AA=abcb(yd,ya)c)5.4.244.25ASRVSR4.86.4.85(PerformancePoint)364.5ADRSpiapidpiapid4.6(pid,pia)Sd(m)Sa(g)1A2Aydpidyapia4.7Sd(m)Sa(g)AC5.2TCV/AACSR5.2TSRCVV/ydpidyapia4.84.6.2ProcedureBProcedureA(CapacitySpectrum)(yd,ya)(22)effβydyapidpiaydyaeffβpidpiapidpiaeffβpid1.52.effβ(4.9)effβTypeAeffβ40TypeBeffβ29TypeCeffβ203.(Capacitycurve)(Capacityspectrum)(4.10)*d(*d,*a)4.(*d,*a)effβpostyieldslopeyyddaa−−=**(4.25)postyieldslopeypiypiddaa−−=(4.26)4.254.26ypiypiyyddaaddaa−−=−−**(4.27)yyypiypiaddddaaa+−−−=**'))(((4.28)4.284.22()57.63''+−=pipipiypiyeffdaaddaκβ(4.29)5.ydya34.28pid'pia4.29ADRS4.11ydyaeffβ6.Sd(m)Sa(g)4.9effβSd(m)Sa(g)ydpidyapia1A2A21AA=4.10Sd(m)Sa(g)ydpidyapia1A2A21AA=Sd(m)Sa(g)4.114.6.3ProcedureC1.52.effβ(4.9)effβTypeAeffβ40TypeBeffβ29TypeCeffβ203.(Capacitycurve)(Capacityspectrum)(4.12)(pid,pia)4.ypidd/11−−=−−=−−=ypiypiyyypiypiyyypiypiddaaadddaadaddaaα(4.12)5.4.44.54.6effβ(22)6.4.135Line1pidpiaLine27.4.14Line3Line15Line2()8.4.14Line35548Sd(m)Sa(g)21AA=1A2Aydpidyapia4.1221AA=1A2AydpidyapiaSd(m)Sa(g)4.13Line1Line221AA=1A2AydpidyapiaSd(m)Sa(g)4.14Line34.4effβ(inpercent)StructuralBehaviorTypeASlopeRatiodpi/dy4.5effβ(inpercent)StructuralBehaviorTypeBSlopeRatiodpi/dy4.6effβ(inpercent)StructuralBehaviorTypeCSlopeRatiodpi/dy4.6.4(AcceptanceCriteria)4.7(PerformanceLevel)(Maximumtotaldrift)(Maximuminelasticdrift)()(Structuralstability)iP-iiPV33.0iViiPiFEMA273(DeformationControlledAction)(ForceControlledAction)(ductile)(acceptancecriteria)FEMA273(brittle)4.7iiPV33.0