Sloping wharves are often used in inland river ports of China when the range of the water level is larger than 15 meters. Especially in Chongqing Port, all wharves are sloping structures. The infrastructure of open sloping wharves consists of gravity piers and pillars. The height of a gravity pier that is suitable for rock base or other hard foundations depends on the original topographic conditions and the desired slope. In designing gravity piers located in earthquake areas, one has first to determine the seismic forces acting on the piers. Generally, the horizontal seismic forces are calculated by means of a statical analysis for the thick and low piers, which is more easy. The main point in the analysis carried out in this paper is the high piers with small stiffness. The horizontal seismic forces are calculated by the theory of response spectrum. Initial vectors based on fundamental vibration modes are used to get the characteristic values. The method shows a feature of rapid convergence.
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