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# Determine the Response Spectrum

## Determine the Response Spectrum

(OP)
Hi, I understand that the construction of the response spectrum is based on Section 11.4.5 of ASCE 7-10 and based on the MCEr.

My question is: can I construct a response spectrum using the same considerations from Section 11.4.5 of ASCE 7-10 but using a different ground motion to the MCEr?

For example, the MCEr is the ground motion having a 2% probability of exceedance for 50 years (2,475-year return period).

But I want to construct a response spectrum using a ground motion with 10% probability of exceedance for 50 years. Can I use the parameters of this ground motion and the guidelines outlines in Section 11.4.5 of ASCE 7-20 to construct a response spectrum?

### RE: Determine the Response Spectrum

I think yes. You might find more information in FEMA 356, Prestandard and Commentary for the Seismic Rehabilitation of Existing Buildings. I think it develops response spectrums for 10% in 50 years.

Also, You might want to try the USGS Tool with ASCE 41 and BSE-1E (20% in 50 yrs) or BSE-2E (5% in 50 yrs) Hazard Levels to see these response spectrums. The advanced report has information on how the response spectrum is derived. https://earthquake.usgs.gov/hazards/designmaps/usd...

### RE: Determine the Response Spectrum

(OP)
wannabeSE, thanks for the response.

I was looking at ASCE 41-13 and found a general equation for constructing the response spectrum. See attached. Sorry, I did not mention that I have the Ss and S1 parameters for my hazard (10% probability of exceedance for 50 years). So, I think that since I have the correct Ss and S1 parameters, I will be able to use the ASCE 41-13 equations.

Looks like the guidelines from ASCE 7-10 applies only for the MCEr hazard. But, I found that the response spectrum based on the MCEr (2% in 50 years) is almost the same to the response spectrum for 10% probability of exceedance for 50 years for some regions in the US (western US).

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