The Application of Space Vector in Calculation of Plinth Elevation Angle

Abstract

The plinth elevation angle was related to the upstream slope and face slab shape of CFRD, as well as to the dam axis, which was very important in plinth design. Based on the space vector algorithm, the function established consists of plinth elevation angle and three-dimensional coordinate of key points of plinth line, which was taken as the unique input variable, and then the plinth elevation angle was directly obtained. The improved vector method with characteristics of high efficiency, simple input parameters and clear spatial concept, is obviously superior to the traditional geometric method which was deduce by doing the auxiliary line, and it has been widely applied and well verified in engineering.