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COLLAPSE ASSESSMENT OF DUCTILE COUPLED WALLS v Pushover analyses used to obtain system overstrength factor (Ω 0 ) and ductility (μ T ): o Mean Ω 0 of Performance Groups: 1.31 - 2.13 à Ω0 = 2.5 v Incremental dynamic analyses using the 44 far-field ground motion records of FEMA P695 used to determine the median collapse intensity (S CT ) and collapse margin ratio (CMR) using a total system uncertainty β TOT = 0.525: o Archetype ACMRs: 1.96 - 2.91 > ACMR 10% = 1.96 à R = 8 Acceptable o Mean maximum lateral story drifts at DBE & MCE level shaking from the 44 records, obtained using C d = 8 and wall I eff = 0.75I g , do not exceed the ASCE 7 design allowable drift of 2% à Using wall I eff = 0.50I g : à Cd~ 5.5 for Design v Wall shear amplification is needed in design because preliminary analysis results indicated that archetypes, using R = C d = 8 and designed conforming to ACI 318-14 shear provisions, did not meet the FEMA P695 acceptability criteria due to a high number of shear failures experienced during incremental dynamic analysis. v Archetypes designed per ASCE 7-16 & ACI 318-19 provisions using R = 8 meet the FEMA P695 acceptability criteria 0 0.5 1 1.5 2 2.5 3 3.5 4 Roof Drift Ratio(%) 0 0.5 1 1.5 2 2.5 V/V b 8 Story Archetypes 8H-DR-2.0 8H-DR-2.4 8H-DR-3.0 8H-DR-3.3 8H-CR-3.3 8H-CR-4.0 8H-CR-5.0 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 Pier Drift Ratio 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 P/P0 8H-DR-3.0 12H-DR-3.0 18H-DR-3.0 24H-DR-3 30H-DR-3 1. Wall Flexural Failure via Drift Capacity Model by Abdullah & Wallace (2018) o Accounts for concrete crushing, bar buckling/fracture, and lateral instability o Based on robust database of wall tests assessing trends for total displacement or rotation at which wall strength degrades 20% from the peak strength o Conservative since ”failure” is defined at initiation of strength loss (not collapse) 2. Wall Shear Failure o Model per LATBSDC guide (2017) relating tensile strain (or curvature) to shear derived from experimental data from wall tests that experienced shear and flexure-shear failures tracking wall o Track shear demand for a given strain 3. Wall Axial Failure using a lateral drift capacity model by Wallace et al. (2008) o Defines a lateral drift at which axial failure is thought to occur using a shear friction model with an assumed critical shear crack angle o Typically not the governing failure mode v Model validated with BRI 12-story coupled T-walls test by Teshigawara et al. (1996) v Coupling beam hysteretic model validated with tests by Naish (2010) v 39 Archetype Design Variations o Number of stories: 4,6,8,12,18, 24,30 o Coupling beam type & aspect ratio: Diagonally-reinforced (l n /h = 2.0, 2.4, 3.0, 3.3) Conventionally-reinforced (l n /h = 3.3,4.0, 5.0) o Wall pier configuration: Planar walls for 4-12 story, Flanged walls for 18,24,30 story v Design per ASCE 7-16 and ACI 318-19 provisions including code change proposals for wall shear amplification and drift capacity check v Elastic Design using Response Spectrum Analysis and scaling V b to 100% ELF V b o Seismicity Dmax: S DS = 1.0 g, S D1 = 0.6g o Accidental torsion effects, I e = 1.0, ρ = 1.0 v Typical loading: D = 125 psf (100 slab+25 superimposed), L = 40-50 psf, L roof = 20 psf v Effective Stiffness: Flexural I eff = 0.75 I g for walls 0.07*l n /h for coupling beams o Walls: fiber models with defined force-deformation relations o Wall shear response: a) with a linear elastic shear stiffness b) with a model capturing shear- flexure interaction (SFI) effects o Coupling beams: elastic beam element with nonlinear shear hinge o Tributary mass assigned at nodes o P-delta effects considered v Define a new ASCE 7 lateral system for Reinforced Concrete Ductile Coupled Walls o In lieu of using the same seismic design parameters for Special Reinforced Concrete Shear Walls v Reliably quantify the performance of Ductile Coupled Wall systems v Propose and validate seismic response parameters: R = 8, C d = 8, Ω 0 = 2.5. v Assess collapse using the FEMA P695 methodology and verify target response parameters o Design a set of Archetypes for a range of variables o Create a nonlinear model for each Archetype and validate the modeling approach o Perform pushover and incremental dynamic analyses to determine the collapse margin ratio Research Objectives Failure Assessment Model Validation Negin A. Tauberg 1 , Kristijan Kolozvari 2 , John W. Wallace 2 1) PhD Student, University of California, Los Angeles 2) Assistant Professor, California State University, Fullerton 3) Professor, University of California, Los Angeles Analysis Results & Conclusions Nonlinear Modeling Archetype Design (Sugaya & Teshigawara, 1996) Project Sponsors: v Nonlinear 2D OpenSees MVLEM developed by Kolozvari et al. (2018)

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COLLAPSE ASSESSMENT OF DUCTILE COUPLED WALLS

v Pushover analyses used to obtain system overstrength factor (Ω0) and ductility (μT):o Mean Ω0 of Performance Groups: 1.31 - 2.13 à Ω0 = 2.5

v Incremental dynamic analyses using the 44 far-field ground motion records of FEMAP695 used to determine the median collapse intensity (SCT) and collapse margin ratio(CMR) using a total system uncertainty βTOT = 0.525:o Archetype ACMRs: 1.96 - 2.91 > ACMR10% = 1.96 à R = 8 Acceptableo Mean maximum lateral story drifts at DBE & MCE level shaking from the 44 records,

obtained using Cd = 8 and wall Ieff = 0.75Ig, do not exceed the ASCE 7 designallowable drift of 2% à Using wall Ieff = 0.50Ig: à Cd ~ 5.5 for Design

v Wall shear amplification is needed in design because preliminary analysis resultsindicated that archetypes, using R = Cd = 8 and designed conforming to ACI 318-14shear provisions, did not meet the FEMA P695 acceptability criteria due to a highnumber of shear failures experienced during incremental dynamic analysis.

v Archetypes designed per ASCE 7-16 & ACI 318-19 provisions using R = 8 meet theFEMA P695 acceptability criteria

0 0.5 1 1.5 2 2.5 3 3.5 4Roof Drift Ratio(%)

0

0.5

1

1.5

2

2.5

V/V b

8 Story Archetypes8H-DR-2.08H-DR-2.48H-DR-3.08H-DR-3.38H-CR-3.38H-CR-4.08H-CR-5.0

0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2Pier Drift Ratio

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

P/P

0

8H-DR-3.012H-DR-3.018H-DR-3.024H-DR-330H-DR-3

1. Wall Flexural Failure via Drift Capacity Model by Abdullah & Wallace (2018)o Accounts for concrete crushing, bar

buckling/fracture, and lateral instabilityo Based on robust database of wall tests

assessing trends for total displacement or rotation at which wall strength degrades 20% from the peak strength

o Conservative since ”failure” is defined at initiation of strength loss (not collapse)

2. Wall Shear Failureo Model per LATBSDC guide (2017)

relating tensile strain (or curvature) to shear derived from experimental data from wall tests that experienced shear and flexure-shear failures tracking wall

o Track shear demand for a given strain

3. Wall Axial Failure using a lateral drift capacity model by Wallace et al. (2008)o Defines a lateral drift at which axial

failure is thought to occur using a shear friction model with an assumed critical shear crack angle

o Typically not the governing failure mode

v Model validated with BRI 12-story coupled T-walls test by Teshigawara et al. (1996)

v Coupling beam hysteretic model validated with tests by Naish (2010)

v 39 Archetype Design Variations

o Number of stories: 4,6,8,12,18, 24,30

o Coupling beam type & aspect ratio: Diagonally-reinforced (ln/h = 2.0, 2.4, 3.0, 3.3)

Conventionally-reinforced (ln/h = 3.3,4.0, 5.0)

o Wall pier configuration: Planar walls for 4-12 story, Flanged walls for 18,24,30 story

v Design per ASCE 7-16 and ACI 318-19 provisions including code change proposals for

wall shear amplification and drift capacity check

v Elastic Design using Response Spectrum Analysis and scaling Vb to 100% ELF Vb

o Seismicity Dmax: SDS = 1.0 g, SD1 = 0.6g

o Accidental torsion effects, Ie = 1.0, ρ = 1.0

v Typical loading: D = 125 psf (100 slab+25 superimposed), L = 40-50 psf, Lroof = 20 psf

v Effective Stiffness: Flexural Ieff = 0.75 Ig for walls 0.07*ln/h for coupling beams

o Walls: fiber models with defined force-deformation relations

o Wall shear response: a) with a linear elastic shear stiffness b) with a model capturing shear-

flexure interaction (SFI) effectso Coupling beams: elastic beam

element with nonlinear shear hingeo Tributary mass assigned at nodeso P-delta effects considered

v Define a new ASCE 7 lateral system for Reinforced Concrete Ductile Coupled Walls

o In lieu of using the same seismic design parameters for Special Reinforced Concrete Shear Walls

v Reliably quantify the performance of Ductile Coupled Wall systems

v Propose and validate seismic response parameters: R = 8, Cd = 8, Ω0 = 2.5.

v Assess collapse using the FEMA P695 methodology and verify target response parameters

o Design a set of Archetypes for a range of variables

o Create a nonlinear model for each Archetype and validate the modeling approach

o Perform pushover and incremental dynamic analyses to determine the collapse margin ratio

Research Objectives

Failure Assessment

Model Validation

Negin A. Tauberg1, Kristijan Kolozvari2, John W. Wallace2

1) PhD Student, University of California, Los Angeles2) Assistant Professor, California State University, Fullerton

3) Professor, University of California, Los Angeles

Analysis Results & Conclusions

Nonlinear ModelingArchetype Design

(Sugaya & Teshigawara, 1996)

Project Sponsors:

v Nonlinear 2D OpenSees MVLEM developed by Kolozvari et al. (2018)