Examples from the Performance-Based Seismic Design Book for RC structures

Online Resources
M. Aschheim, E. Hernandez-Montes, D. Vamvatsikos
Design of Reinforced Concrete Buildings for Seismic performance: Practical, deterministic and probabilistic approaches

Ch13 Example 0: Simple bridge pier design

Ch19 Example 1: 4-story RC MRF [Code-like Design]

Ch19 Example 2: 4-story RC MRF [Simplified PBSD]

Ch19 Example 3: 4-story RC MRF [Informed PBSD]

Ch19 Example 4: 12-story RC Coupled Shear Wall [Code-like Design]

Ch19 Example 5: 7-story RC Cantilever Shear Wall [Simplified PBSD]

Ch19 Example 6: 8-story Unbonded Post-Tensioned RC Wall [Informed PBSD]

Records & Tools

Bridge Pier Design — "El-Centro matched" PBSD Design
Characteristics	Single bridge pier, circular section, modelled as a simple SDOF
Site	San Jose, CA Hazard scaled to match the El Centro 1940 NS component spectrum at moderate/long periods
Perf. Objectives	1. PoE of system ducitlity > 2 is 10%/50yrs at 60% confidence.
The bridge pier and its single-degree-of-freedom idealization
Case study files
YFSapp results (initial design) YFS_BridgePierExample_Section13.5.3.xls (1.0MB)

Design 1: 4-story RC MRF — Code-like Design
Characteristics	4-story RC moment-resistant frame Perimeter frame 4 moment-resistant bays in each side
Site	San Jose, CA
Perf. Objectives	1. System ductility = 3.6 for 2/50 hazard level 2. Interstory drift = 2% for 10/50 hazard level
Elevation and plan of the 4-story building Static pushover curve of the final design
Case study files
Opensees & Matlab source files Examples123_MatlabOpenSeesFiles.zip (17.9MB)

Design 2: 4-story RC MRF — Simplified PBSD Design
Characteristics	4-story RC moment-resistant frame Perimeter frame 4 moment-resistant bays in each side
Site	San Jose, CA
Perf. Objectives	1. PoE of IDR>2% is 10%/50yrs at 68% confidence.
Elevation and plan of the 4-story building Static pushover curve of the final design
Case study files
Opensees & Matlab source files Examples123_MatlabOpenSeesFiles.zip (17.9MB) YFSapp results (initial design) Example2_MethodB_YFS_4storyMRF_CF68%_Section19.8.5.xls (1.15MB) YFSapp results (reassessment) Example2_MethodB_YFS_4storyMRF_CF68%_Section19.8.8.xls (1.15MB)

Design 3: 4-story RC MRF — Informed PBSD Design
Characteristics	4-story RC moment-resistant frame Perimeter frame 4 moment-resistant bays in each side
Site	San Jose, CA
Perf. Objectives	1. PoE of IDR>2% is 10%/50yr at 70% confidence. 2. PoE of system ductility > 1.5 is 50%/50yrs at 70% confidence. 3. PoE of collapse is 1%/50yrs at 90% confidence
Elevation and plan of the 4-story building Static pushover curve of the final design
Case study files
Opensees & Matlab source files Examples123_MatlabOpenSeesFiles.zip (17.9MB) YFSapp results (initial design for PoE @ 70% confidence) Example3_MethodC_YFS_4storyMRF_CF70%_Section19.9.5.xls (0.9MB) YFSapp results (initial design for PoE @ 90% confidence) Example3_MethodC_YFS_4storyMRF_CF90%_Section19.9.5.xls (0.9MB) YFSapp results (reassessment for PoE @ 70% confidence) Example3_MethodC_YFS_4storyMRF_CF70%_Section19.9.9.xls (0.9MB) YFSapp results (reassessment for PoE @ 90% confidence) Example3_MethodC_YFS_4storyMRF_CF90%_Section19.9.9.xls (0.9MB)

Design 4: 12-story RC Coupled Shear Wall — Code-like Design
Characteristics	12-story RC coupled shear wall Perimeter system one set of coupled walls per side
Site	San Jose, CA
Perf. Objectives	1. System ductility = 3.3 at 10%/50yrs hazard level 2. IDR = 2% at 10%/50yrs hazard level
Elevation and plan of the 12-story building Wall and coupling beam cross-sections Static pushover curve of the final design
Case study files
Opensees & Matlab source files DesignExample4.zip (900kB)

Design 5: 7-story cantilever wall — Simplified PBSD Design
Characteristics	7-story RC cantilever wall Perimeter system 2 walls per side
Site	San Jose, CA
Perf. Objectives	1. PoE of IDR>2% is 10%/50yrs at 70% confidence. 2. PoE of base pl. hinge rotation exceeding capacity is 10%/50yrs at 85% confidence.
Elevation and plan of the 7-story building Wall cross-section Static pushover curve of the final design
Case study files
Opensees & Matlab source files Example5_MatlabOpenSeesFiles.zip (8.6?B) YFSapp results (initial design for PoE @ 70% confidence) Example5_MethodB_YFS_7storyWall_CF70%_Section19.11.6.xls (1.1MB) YFSapp results (initial design for PoE @ 85% confidence) Example5_MethodB_YFS_7storyWall_CF85%_Section19.11.6.xls (1.1MB)

Design 6: 4-story Unbonded Post-Tensioned RC Wall — Informed PBSD Design
Characteristics	4-story unbonded post-tensioned RC wall Perimeter system one wall in each side
Site	San Jose, CA
Perf. Objectives	1. PoE of gap opening at wall base > 2cm is 50%/50yrs at 50% confidence. 2. PoE of IDR > 0.7% is 50%/50yrs at 50% confidence. 3. PoE of confined concrete crushing is 1%/50yrs at 90% confidence.
Elevation and plan of the 4-story building UPT wall cross-section and static pushover curve of the final design
Case study files
Opensees & Matlab source files DesignExample2.zip (900kB) YFS-Tapp results (initial design for PoE @ 90% confidence) Example6_MethodC_YFS-T_4storyUPTWall_CF90%_Section19.12.6.xls (0.9MB) YFS-TNEapp results (initial design for PoE @ 50% confidence) Example6_MethodC_YFS-TNE_4storyUPTWall_CF50%_Section19.12.6.xls (0.8MB)

Records & Tools
Miscellaneous useful tools and records employed in the above design examples
FEMA P695 far field record set FEMA-P695-FFset.zip (7.8MB) FEMA P-58 Fragility Curve Fit tool FragilityCurveFitTool.xlsx (0.02MB) Sizing RC sections for biaxial loading (ACI) aci.flexure.xls (0.5MB) YFSapp (A): Constant yield displacement basis, Pinching hysteresis, Hazard from site PSHA YFSapp.xls (0.9MB) YFSapp (B): Constant yield displacement basis, Pinching hysteresis, Hazard extrapolated from site design spectrum YFSapp_DesignSpectrum.xls (1.1MB) YFS-Tapp (A): Constant period basis, Pinching hysteresis, Hazard from site PSHA YFS-Tapp.xls (0.9MB) YFS-Tapp (B): Constant period basis, Pinching hysteresis, Hazard extrapolated from site design spectrum YFS-Tapp_DesignSpectrum.xls (1.1MB) YFS-TNEapp (A): Constant period basis, Nonlinear Elastic hysteresis, Hazard from site PSHA YFS-TNEapp.xls (0.8MB)