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TDY Equation 5B.1 from the Δ located one (X, k) two successive hinge formation defined between the k 'th thrust unknown size in step second order effects the consideration to be the initial step in the modal analysis of the first mode (the dominant mode) of the modal single degree of freedom system 's Modal so-called Growth Acceleration is.
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The modal pseudo-acceleration increment is calculated from the yield condition defined in TDY 5.3.1 of a new plastic hinge formed at the end of each step . This value also determines the iteration level of the impulse analysis . The resulting modal pseudo acceleration increment, Δa 1 (X,k) , is added to the pseudo acceleration value found at the end of the previous step to obtain the cumulative modal pseudo acceleration a 1 (X,k) at the kth step . In your cumulative modal, acceleration a 1 (X,k) value can be written as given in TDY Equation 5B.3 .
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m tx1 (X,1) is the modal effective mass obtained in the first mode of the modal analysis , the value of which is taken into account in the initial step where second-order effects are taken into account, and it is found by TDY Equation 4B.1 . The value of m tx1 (X,1) is calculated only for the first step and is the sum of the floor modal effective masses m tx1 (X,1) values taken as constant throughout the entire thrust calculation .
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In this equation, the Nx1 (X, k) , (X) of the push analyzed for earthquake directions k 'th calculated in step N' peak displacement of the fifth floor 'of the latter. Φ Nx1 (1) is the mode amplitude at the Nth floor obtained in the first mode of the modal analysis performed in the initial step . The values in the denominator of TDY Equation 5B.4 are the values obtained in the first mode of the modal analysis performed in the initial step, where second-order effects are taken into account, and these values are used in all push steps.
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