# Horizontal Elastic Design Spectrum of the Building

**Symbols**

* F_{S }*= Local ground impact coefficient for the short-period region

*=*

**F**_{1}*Local ground impact coefficient for a period of 1.0 seconds*

*= Short-period design spectral acceleration coefficient [dimensionless]*

**S**_{DS}*= Design spectral acceleration coefficient for a period of 1.0 seconds [dimensionless]*

**S**_{D1}*=*

**S**_{S }*Short period map spectral acceleration coefficient [dimensionless]*

*=*

**S**_{1}*Map spectral acceleration coefficient for a period of 1.0 seconds [dimensionless]*

*= Natural vibration period [s]*

**T***= Horizontal elastic design acceleration spectrum corner period [s]*

**T**_{A}*= Horizontal elastic design acceleration spectrum corner period [s]*

**T**_{B}*= Transition period to constant displacement region in horizontal elastic design spectrum [s]*

**T**_{L}*= Horizontal elastic design spectral acceleration [g]*

**S**_{ae (T)}The map spectral acceleration coefficients S

_{s }and S_{1 }values of the coordinates, specified at General Building Informations, are obtained from AFAD earthquake map data using the Analysis Wizard online option.*Local soil effect coefficients are*obtained from TBDY 2018 Table 2.1 according to ZC local soil class specified in the geotechnical report and the*design spectral acceleration coefficients are*calculated automatically by the program.

S | 0.927 |

S | 0.259 |

F | 1.2 |

F | 1.5 |

S | |

S | |

T | |

T |

The horizontal elastic design spectral accelerations S

_{ae}(T), which are the ordinates of the horizontal elastic design acceleration spectrum for any earthquake ground motion level considered, are defined in terms of gravitational acceleration [g] depending on the natural vibration period.Based on the coordinates, the spectral acceleration coefficients obtained from AFAD and the horizontal elastic design spectrum S

_{ae}(T) are determined according to the formula below. For the horizontal elastic design spectrum, it is represented by a total of 4 functions, different in each region, is shown in the graph below.

In order to create the spectrum, the time should be increased with appropriate intervals starting from 0 seconds and stopped at an appropriate T value after T

_{L}=6 s. For this building, the horizontal elastic spectrum starting from T=0 s to T=8 s with 0.05 intervals is calculated in the excel. The obtained spectrum is given in the image below.