The Special Truss Moment Frame (STMF) is a seismic load-resisting system that consists of trusses as horizontal members and specially designed segments that are expected to withstand large cyclic deformation during seismic events. The initial concept [1-3] was based on designing a special segment inside the truss as a fuse to dissipate the input energy in a ductile manner, while the other members outside the special segment stay in the elastic range. Later on, special dissipation devices in the aforementioned segment were incorporated [4], and the results obtained showed an adequate performance of the STMF. In view of the above, the present work aims to develop a simplified structural model of a STMF, with shape memory alloy bars as dissipation devices in the special segment. After developing a more sophisticated constitutive model of these bars, a 2-degrees-offreedom simulation is proposed, in order to initially capture the dynamics of the STMF in a satisfactory manner. This model has two degrees of freedom, one translational and one rotational, accounting for simplified assumptions regarding the elastic response of the STMF columns and truss outside the special segment. After fully exploring the deformation features of the model, the equations of motion are formulated. Results obtained under various simple as well as complex excitation patterns showed that the model at hand may be used as basis for on-going research.