DETRANS: Efficient Algorithm for Static Analysis of Determinate Trusses

A fast and storage‐efficient algorithm for the computation of the static response of determinate trusses to nodal loading is proposed. In terms of the number of bars in the truss, M; the algorithm is of computational complexity $O\left(M^2\right)$ and requires only $O\left(M\right)$ primary storage, for M linearly independent loadings. The motivation to develop a fast algorithm stems from the need for such an algorithm in the fast and efficient control of adaptive space cranes. The algorithm is based on the well‐known method of joints. Although the traditional method of joints computes response only for simple determinate trusses, the algorithm includes the extension for the compound and complex determinate trusses by generalizing the Henneberg method. It has been coded in FORTRAN77 into a computer program called DETRANS (Determinate Truss Analysis System). The theoretical basis of the algorithm, the data structures used in the program, and the computational complexity analysis are given.