Abstract
In this paper, the method of determining the seismic design force is proposed by evaluating the seismic risk cost. The relation between the total costs and seismic forces of the input earthquake wave is calculated applying the structural optimization technique proposed by the authors. The seismic force that gives the minimum total cost is called as the target seismic design force. Here the total cost is defined as the summation of the initial construction cost and the seismic risk cost. It is shown that the different values of the target seismic design force are obtained depending on the applying seismic hazard curves. Also the numerical examples considering the several values of user costs are shown.