Abstract
This paper presents a safety check method of steel frame check dam by using an elastic-plastic reliability analysis method. The proposed method makes use of the holonomic elastic-plastic analysis to combine with the first order reliability analysis method. In order to combine the holonomic elastic plastic analyisis with reliability analysis into one formulation, the conventional holonomic elastic plastic analysis formulation is modified in cojunction with the elastic-plastic mode generation method. Then, the first order reliability method based on elastic-plastic displacement limit state is formulated as a mathematical programming problem. Furthermore, it is pointed out that some collapse modes are defined as an excessive displacement limit, and the safety check method for this limit state is also proposed by using the modified reliability analysis method. Finally, The numerical examples of the three bar truss and the steel frame check dam subject to uncertain loads show the validity and the applicability of the proposed method.
