Matrix analysis of a one-dimensional discrete problem (forces in a pressed sleeve splice) (Q1061549)

Pressed sleeve splicing is a method of reinforcing bar connection. The model of the splicing consists of two bars connected at equidistant intervals. The solution of the statically n-times indetermined problem is given by the force method by means of the indirect consideration of plastic deformations. The system of equations of the force method is solved in an explicit form recognizing that the coefficient matrix is a modified one-pair matrix. Further use of the theorem on the inverse of modified matrices enabled us to solve the elastic problem in closed form. The plastic deformations of the connections are represented by the modification of the system, which is solved by repeated use of the above theorems.