Abstract
This paper describes a method of analysing the collapse load of structures such as space frames combined with plates. This method can be mentioned as follows. Structures are discretized by means of finite elements. Triangular elements and beam elements are used for plates and frames respectively. Plastic behavior is restricted to element boundaries and piecewise linear yield conditions are adopted so as to solve the problem simply by yield line methed and linear programming. The discretized structural systems are calculated in repetition, the elements of which has been divided into two pieces as the needs of the case demand, in order to obtain as. much value of the collapse load of continua as possible. The necessity of redivision of elements is judged by solutions of LP problems on the partial structures composed of the element and the adjoining element, because the new boundary of the element will not rotate and extend alone. The solution of the present model can be given to calculate the solution tableau of the last model, which has been expanded and arranged to be suitable for the present model. Robinson's Rank Technique, also reports this paper, can be applied to the compatible equations for the sake of contraction of the LP tableau. This paper introduces an analysing process based upon the upper and lower bound theorem and reports some illustrative problems.
