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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

made with Equation 11.9-1, 11.9-2, 11.9-3 and 11.9-4 by the program.
  • calculated.

Tip
  • The design vertical response spectral acceleration, Sav, is taken as two-thirds of the value of SaMv.

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SYMBOLS

SMS = The MCER spectral response acceleration parameter at short periods
SaMv = The vertical response spectral acceleration
Sav = The design vertical response spectral acceleration
Tv = The vertical period of vibration. [s]
Cv = is defined in terms of SS in Table 11.9-1

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For vertical periods less than or equal to 0.025 s, SaMv is determined with eqEq. 11.9-1.

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Mathinline
hostConfluence: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, SaMv is determined with eqEq. 11.9-2.

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Mathinline
hostConfluence: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, SaMv is determined with eqEq. 11.9-3.

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Mathinline
hostConfluence: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, SaMv is determined eqEq. 11.9-4.

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Vertical

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

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

Values of Vertical Coefficient Cv

Ss

Site Class A, B

Site Class C

Site Class D, E, F

Ss ≥ 2.0

0.9

1.3

1.5

Ss = 1.0

0.9

1.1

1.3

Ss = 0.6

0.9

1.0

1.1

Ss = 0.3

0.8

0.8

0.9

Ss ≤ 0.2

0.7

0.7

0.7

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

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