Design Acceleration Response Spectra for Design Acceleration Response Spectra for Port-au-Prince Brady R. Cox, Ph.D., P.E. Brady R. Cox, Ph.D., P.E. The University of Arkansas Department of Civil Engineering Geotechnical Earthquake Engineering for Seismic Design Workshop, Department of Civil Engineering Port-au-Prince, Haiti, November 18-19, 2010
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Design Acceleration Response Spectra forDesign Acceleration Response Spectra for Port-au-Prince
Brady R. Cox, Ph.D., P.E.Brady R. Cox, Ph.D., P.E.The University of Arkansas
Department of Civil Engineering
Geotechnical Earthquake Engineering for Seismic Design Workshop,
Department of Civil Engineering
Port-au-Prince, Haiti, November 18-19, 2010
Design Acceleration Response SpectraRequired by Seismic Provisions in Building CodesRequired by Seismic Provisions in Building Codes
IBC (2009) ASCE 7-05
Step 1: Locate Site
Presidential Palace
Hotel Karibe
ASCE 7-05
Step 2: Determine Ss and S1 for “Rock” ConditionsSpectral Accelerations with a 2% Probability of Exceedance in 50 years
Ss = Short Period Spectral Acceleration (T = 0.2 sec, f = 5 Hz)Ss Short Period Spectral Acceleration (T 0.2 sec, f 5 Hz)
S1 = 1-sec Period Spectral Acceleration (T = 1.0 sec, f = 1 Hz)
Determined from PSHA by USGS (Frankel et al. 2010)
Maps Provided in the GIS Database
ASCE 7-05Site Ss (g) S1 (g)
Presidential Palace 1.75 0.6
Hotel Karibe 2.0 0.7
Step 3: Determine Site ClassificationUse the Seismic Site Classification Map Provided in the GIS Database
Site Ss (g) S1 (g) Site Class
Presidential Palace 1.75 0.6 DPresidential Palace 1.75 0.6 D
Hotel Karibe 2.0 0.7 C
Step 4: Determine Site Amplification CoefficientsF Si A lifi i C ffi i f SFa = Site Amplification Coefficient for Ss
pg. 115 ASCE 7-05
Fv = Site Amplification Coefficient for S1
ASCE 7-05
Step 4: Presidential PalaceF Si A lifi i C ffi i f SFa = Site Amplification Coefficient for Ss
Ss = 1.75 g Fa = 1.0
Fv = Site Amplification Coefficient for S1
ASCE 7-05S1 = 0.6 gFv = 1.5
Step 4: Hotel KaribeF Si A lifi i C ffi i f SFa = Site Amplification Coefficient for Ss
Ss = 2.0 g Fa = 1.0
Fv = Site Amplification Coefficient for S1
ASCE 7-05S1 = 0.7 gFv = 1.3
Step 5: Determine SMs and SM1
Spectral Accelerations with a 2% Probability of Exceedance in 50 years Adjusted for Local Soil Conditions (Site Classification)
Often Termed the Maximum Considered Earthquake (MCE) Spectral Accelerations
pg 115 ASCE 7-05pg. 115 ASCE 7-05
Site Ss (g) S1 (g) Site Class Fa Fv SMs (g) SM1 (g)
Presidential Palace 1.75 0.6 D 1.0 1.5 1.75 0.90
Hotel Karibe 2.0 0.7 C 1.0 1.3 2.00 0.91
Step 6: Determine SDs and SD1
Design Spectral Acceleration Values
Maximum Considered Earthquake (MCE) Spectral AccelerationsMaximum Considered Earthquake (MCE) Spectral Accelerations Reduced by 1/3
pg 115 ASCE 7-05pg. 115 ASCE 7-05
Site Ss (g) S1 (g) Site Class Fa Fv SMs (g) SM1 (g) SDs (g) SD1 (g)