Design Response Spectrum for Horizontal Earthquake Effects per ASCE 7-16 with ideCAD

How does ideCAD define design response spectrum, according to ASCE 7-16?

By using the parameters determined in Table 12.2-1 and 11.5.1, the Reduced Design Spectral acceleration, S_a is determined automatically according to Section 12.9.1.2.

According to the structural system type, using the R, C_d and Ω_o coefficients obtained from Table 12.2-1, R/I_eand the reduced design spectral acceleration are calculated automatically.

Symbols

C_d = Deflection amplification factor
I_e= Seismic importance factor
R = Response modification coefficient

The reduced design spectral acceleration S_a, which is the ordinate of the reduced design acceleration spectrum for a given natural vibration period T, used to determine the reduced seismic loads in the horizontal direction, is that of S_a https://idecad.atlassian.net/wiki/spaces/IKP/pages/1126040266, is obtained by dividing the R, https://idecad.atlassian.net/wiki/spaces/IKP/pages/1126466187 and multiply with I_e.

On the Analysis ASCE 7-16 Wizard - Design Spectra tab, the spectral acceleration coefficients obtained from USGB based on the coordinates and the horizontal elastic design spectrum S_a is calculated according to the formula below. https://idecad.atlassian.net/wiki/spaces/IKP/pages/1126040266 is represented by a total of 4 functions, different in each region, and shown in the function below.

It’s determined with the equation 11.4-5 from T=0 to T₀.

LaTeX Math Inline

It’s equal S_DS from T₀to T_s.
It’s determined with the equation 11.4-6 from T_s to T_L.

LaTeX Math Inline

It’s determined with the equation 11.4-7 for periods greater than T_L.

LaTeX Math Inline

In the Analysis Settings - Response Spectrum Function tab, the horizontal design spectrum is determined and shown using the design spectral response acceleration parameters.

Structural System Type	Response Modification Coefficient, R	Overstrengh Factor, Ω_o	Deflection Amplification Factor, C_d	Structural System Limitations Including Structural Height, h_n (ft) Limits
				Seismic Design Category
				B	C	D	E	F
A. Bearing Wall Systems
A1 - Special reinforced concrete shear walls	5	2^1/2	5	NL	NL	160	160	100
A2 - Ordinary reinforced concrete shear walls	4	2^1/2	4	NL	NL	NP	NP	NP
A3 - Detailed plain concrete shear walls	2	2^1/2	2	NL	NP	NP	NP	NP
A4 - Ordinary plain concrete shear walls	1^1/2	2^1/2	1^1/2	NL	NP	NP	NP	NP
B. Building Frame Systems
B1 - Steel eccentrically braced frames	8	2	4	NL	NL	160	160	100
B2 - Steel special concentrically braced frames	6	2	5	NL	NL	160	160	100
B3 - Steel ordinary concentrically braced frames	3^1/4	2	3^1/4	NL	NL	35	35	NP
B4 - Special reinforced concrete shear walls	6	2^1/2	5	NL	NL	160	160	100
B5 - Ordinary reinforced concrete shear walls	5	2^1/2	4^1/2	NL	NL	NP	NP	NP
B6 - Detailed plain concrete shear walls	2	2^1/2	2	NL	NP	NP	NP	NP
B7 - Ordinary plain concrete shear walls	1^1/2	2^1/2	1^1/2	NL	NP	NP	NP	NP
C. Moment-Resisting Frame Systems
C1 - Steel special moment frames	8	3	5^1/2	NL	NL	NL	NL	NL
C2 - Steel special truss moment frames	7	3	5^1/2	NL	NL	160	100	NP
C3 - Steel intermediate moment frames	4^1/2	3	4	NL	NL	35	NP	NP
C4 - Steel ordinary moment frames	3^1/2	3	3	NL	NL	NP	NP	NP
C5 - Special reinforced concrete moment frames	8	3	5^1/2	NL	NL	NL	NL	NL
C6 - Intermediate reinforced concrete moment frames	5	3	4^1/2	NL	NL	NP	NP	NP
C7 - Ordinary reinforced concrete moment frames	3	3	2^1/2	NL	NP	NP	NP	NP
D. Dual Systems with Special Moment Frames Capable of Resisting at Least 25% of Prescribed Seismic Foces
D1 - Steel eccentrically braced frames	8	2^1/2	4	NL	NL	NL	NL	NL
D2 - Steel special concentrically braced frames	7	2^1/2	5^1/2	NL	NL	NL	NL	NL
D3 - Special reinforced concrete shear walls	7	2^1/2	5^1/2	NL	NL	NL	NL	NL
D4 - Ordinary reinforced concrete shear walls	6	2^1/2	5	NL	NL	NP	NP	NP
E. Dual Systems with Intermediate Moment Frames Capable of Resisting at Least 25% of Prescribed Seismic Foces
E1 - Steel special concentrically braced frames	6	2^1/2	5	NL	NL	35	NP	NP
E2 - Special reinforced concrete shear walls	6^1/2	2^1/2	5	NL	NL	160	100	100
E8 - Ordinary reinforced concrete shear walls	5^1/2	2^1/2	4^1/2	NL	NL	NP	NP	NP
F. Shear Wall-Frame Interactive System with Ordinary Reinforced Concrete Moment Frames And Ordinary Reinforced Concrete Shear Walls
F1 - Shear wall-frame interactive system	4^1/2	2^1/2	4	NL	NP	NP	NP	NP
G. Cantilevered Column Systems Detailed to Conform to the Requirement for
G1 - Steel special cantilever column systems	2^1/2	1^1/4	2^1/2	35	35	35	35	35
G2 - Steel ordinary cantilever column systems	1^1/4	1^1/4