Abstract
In this paper, firstly it is noted that a limit strength of structural member in a seismic response is determined by both of the maximum deformation and the cumulative absorbed energy, based on the past study about the low-cycle fatigue and the cumulative damage estimation. Next, it is shown that a ratio of the maximum deformation and the cumulative absorbed energy in a seismic response is an approximate function of the duration time of the seismic motion, based on the theory of random vibration. As a result, relationship between two methods of seismic design formulated in Japan, namely 'Calculation on response and limited strength' and 'Energy-based method', is found out.