New Method for Analyzing Complex Trusses and Articulated Frames

A complex truss is a structure consisting of triangular units made up of long, narrow components that are joined at the end by a joint. Such structures are widely used in construction and industrial structures due to their ability to transmit force in long distances and spans between supports. The force of members of complex trusses, unlike simple and compound trusses, cannot be calculated using equilibrium equations alone. In recent years, Henneberg and virtual work methods that follow similar principles have been used to analyze and calculate the force of members of obscure trusses, in order to calculate the force of the members, the complex trusses have to be analyzed twice, their calculations are very long and time consuming. In this new method, there is no need to analyze the complex truss two or more times, and in a shorter time by writing less equilibrium equations and with one analysis structure, the force of the complex truss members is obtained. Another advantage of this new method is the control of calculations performed in each step independently. In addition to certain complex trusses, this method also has the ability to analyze indeterminate complex trusses and so simple hinged frame with concentrated brace, which other methods do not have this capability. This new method the force of all members is obtained with one analysis of complex truss.