Shape memory alloys (SMA) exhibit superelastic behaviors and shape memory effects accompanied by austenite and martensite transformations. Computational tool is useful to design SMA-based devices efficiently. Brinson's one-dimensional constitutive modeling for SMA is extended to take into account the asymmetric tensile and compressive stress-strain behavior and applied to the finite element analysis of simple SMA devices in this paper. The superelastic behaviors of a bar subjected to tension as well as a supported beam subjected to four-point bending are analyzed under the assumption of small deformation. The calculated results for the beam agree well with the experimental results in the literature.