# Reduced Design Acceleration Spectrum for Modal Analysis

**Symbols**

* C_{d} = *Deflection amplification factor

*Seismic importance factor*

**I**_{e}=*Response modification coefficient*

**R =**### 12.9.1.2 Modal Response Parameters

The value for each force-related design parameter of interest, including story drifts, support forces, and individual member forces for each mode of response, is computed using the properties of each mode and the response spectra defined in either Section 11.4.6 or 21.2** divided by the quantity R ∕ I _{e}**. The value for displacement and drift quantities is multiplied by the quantity

**C**.

_{d }∕ I_{e}#### C12.9.1.2 Modal Response Parameters

The design response spectrum is simulated of linear elastic structures. Division of the spectral ordinates by the response modification coefficient, R, accounts for inelastic behavior, and multiplication of spectral ordinates by the Importance Factor, I_{e}, provides the additional strength needed to improve the performance of important structures. The displacements that are computed using the response spectrum must be amplified by C_{d} and reduced by I_{e} to produce the expected inelastic displacements.