Vertical Elastic Design Spectrum of the Building

Symbols

S_DS = Short period design spectral acceleration coefficient [dimensionless]
E_d (Z) = (Z) direction earthquake effect under the effect of the design underlying earthquake
G = Dead load

• In accordance with TBDY 2018 4.4.3, the vertical earthquake effect E_d(Z) is calculated automatically by Equation (4.10), without any special calculation, on the parts of the structural system other than the elements specified below and in the buildings that do not contain these elements.

(a) Buildings contains beams with a horizontal projection of their spans of 20 m or more;

(b)  Buildings contains cantilevers with a horizontal projection of their spans of 5 m or more;

(c) Buildings contains columns resting on beams, 

(d) Buildings with columns inclined relative to the vertical.

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• Since the elements listed above are not available in this building, the vertical earthquake effect E_d (Z) is determined automatically with equation 4.10.

• When calculating by hand for an element, we need to consider all dead loads, G in Equation 4.10, on the element. For this reason, it is easier to check whether the calculation outputs of the program are correct instead of calculating the values ​​to be entered as loads manually in structures with many elements such as this building. The following explains how to control outputs of the calculation.

• In order to perform the manual control, it is checked whether the ratio between G loading and E_d (Z) loading is equal to (2/3)S_DS while examining the cross-section effects in the program interface. E.g; For the relevant column with images below, this ratio is calculated as follows:

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• This ratio is also controlled in the column internal force results as follows.

• These ratio checks can also be performed from reinforced concrete column reports.

• For vertical earthquake calculation and detailed information, see Vertical Earthquake Effects.