# Non-Statistical Combination Condition (5.6.6.2)

Modal shapes and modal load vectors are automatically calculated at each push step.

*In the Multimode Propulsion Method*, independent fixed modal load vectors defined for different vibration modes of the building are automatically applied to the structure incrementally separately.

The internal forces obtained from the load transformers applied incrementally separately are not combined statistically, they are calculated automatically in accordance with the combined modal element end displacements and yield rotations according to

**4B.2.4**.

In **TBDY Article 5.6.6.2** - *In the Multimodal Pushing Method used* , in case independent fixed modal load vectors defined for different vibration modes of the building are applied incrementally to the structure, the resulting modal internal forces will not be statistically combined, the combined modal element according to **4B.2.4** . It will be calculated in accordance with the tip displacements and yield rotations.

Application of Complete Quadratic Combination (CQC) Rule It is obtained with. For this reason, the internal forces obtained at the end of each repulsion step are obtained not statistically but cumulatively. However, the internal force increments in each repulsion step are obtained according to **4B.2.4 (a) ***(TKB or CQC)* . For this reason, internal forces, element end displacements and yield rotations are calculated in harmony.

In the i'th step of the thrust analysis with the ARSA method, the structural responses calculated separately for the (X) and (Y) earthquake directions, i.e. typical displacement, plastic deformation or internal force values r _{x }^{(i)} and r _{y }^{(i )} is expressed with.

In the above equation and i (X) and (Y) in the i'th step of the thrust analysis in the earthquake direction, belonging to a typical n'th natural vibration mode Typical values for displacement, plastic deformation or internal force calculated by taking = 1. LaterThe real value of the coefficient is calculated and replaced by the above equation. Here and combined with *(CQC)* according to **4B.2.4 (a)** as shown below .

:r_cizgi_yi::r_cizgi_xi::art_ölç_kat::art_ölç_kat::r_cizgi_yi::r_cizgi_xi:

:r_cizgi_xi::r_cizgi_yi::art_ölç_kat:, and After finding, r _{x }^{(i)} and r _{y }^{(i)} , that is, the internal forces obtained at the end of that step are found. In this case, the internal forces obtained in each repulsion step were calculated not statistically but cumulatively. However, since these internal force increases are combined with the CQC rule, the modal internal forces are **calculated in** accordance with the combined modal element end displacements and yield rotations according to **4B.2.4**.

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