Utilization of the dualism between determinate trusses and mechanisms

Current paper presents a continuation of a previously published one, in which a mutual duality connection between determinate trusses and mechanisms has been established and proved. The dualism argued in these papers states that for every determinate truss there exists a corresponding dual mechanism and vice versa. This results in coincidence of the statical analysis procedure of the former with the kinematical analysis procedure of the latter. The new relation has opened up new ways of research and practical application, to which the current paper is dedicated. Among the applications presented in the paper there are: establishing connections between known methods in statics and kinematics; deriving new methods in structural mechanics from machine theory: a method for truss decomposition to components, dual vector resolution method, methods for checking the stability of structures; deriving methods in machine theory from structural analysis: dual Hennebergʹs method, a method for checking the mobility of mechanisms and new systematic design techniques based on the dualism connection.