نوع مقاله : علمی - پژوهشی
عنوان مقاله English
نویسندگان English
Complex trusses, due to their specific member arrangement, have at least three non-zero-force members at each joint; therefore, their internal forces cannot be determined solely by the sequential method of joints. Conventional approaches, such as Henneberg's method and the virtual work method, require repeated structural analyses and superposition of results, making the computations lengthy and error-prone. This paper presents a systematic, algorithmic formulation based on a reference parameter for analyzing statically determinate complex trusses. After determining the support reactions, the force in a selected member is designated as the reference parameter, and the remaining member forces are expressed in terms of this parameter through joint equilibrium equations. Applying equilibrium at the closing joint yields the reference parameter and, consequently, all member forces in a single analysis pass. Two statically determinate complex trusses with different geometries and loading conditions are analyzed, and the results are compared with Henneberg's method and a finite element model in Abaqus (truss element T2D2). The proposed formulation maintains computational accuracy (maximum difference less than 0.1 percent) while reducing the number of analysis stages. Owing to its step-by-step nature, the method allows independent verification at each joint and is amenable to implementation in computational codes. Finally, the applicability conditions and limitations of the method are discussed.
کلیدواژهها English