Abstract
Solution form proposed in this paper derived by using Moore-Penrose generalized inverse based on the displacement method can apply even to the problems on the singularity of the stiffness matrix. By solving the elastic and the rigid-body deformations of retractable structure, the exact equivalent linear treatment of the shape-finding and the stress analyses of tension structure such as cable structure, and also investigating the bifurcation phenomena of a shallow arch structure, the advantage of that there is the condition for the existence of a solution in the solution form itself is illustratively presented with the theoretical proof.