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

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Tip
Using the coefficients obtained from the map, the vertical elastic spectrum curve is automatically calculated.

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Mathinline

host	Confluence:2933017122
body	--uriencoded--$$ \normalsize S_%7BaMv%7D=0.3C_vS_%7BMS%7D \qquad \qquad \qquad & (11.9-1) $$

For vertical periods greater than 0T>0.025 s and less than or equal to 0T≤0.05 s, S_aMv is determined with Eq. 11.9-2.

Mathinline

host	Confluence:2933017122
body	--uriencoded--$$ \normalsize S_%7BaMv%7D=20C_vS_%7BMS%7D(T_v-0.025)+0.3C_vS_%7BMS%7D \qquad \qquad \qquad & (11.9-2) $$

For vertical periods greater than 0T>0.05 s and less than or equal to 0T≤0.15 s, S_aMv is determined with Eq. 11.9-3.

Mathinline

host	Confluence:2933017122
body	--uriencoded--$$ \normalsize S_%7BaMv%7D=0.8C_vS_%7BMS%7D \qquad \qquad \qquad & (11.9-3) $$

For vertical periods greater than 0T>0.15 s and less than or equal to 2T≤2.0 s, S_aMv is determined Eq. 11.9-4.

Mathinline

host	Confluence:2933017122
body	--uriencoded--$$ \normalsize S_%7BaMv%7D=0.8C_vS_%7BMS%7D \Big( \frac%7B0.15%7D%7BT_v%7D \Big)%5e%7B0.75%7D \qquad \qquad \qquad & (11.9-4) $$

Vertical The vertical coefficient, C_v, is determined according to Table 11.9-1 with using straight-line interpolation for intermediate values.

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The design vertical response spectral acceleration, S_av, is taken as two-thirds of the value of S_aMv.

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