Thin compressed elements of shape memory alloys (SMA) are prone to buckling caused by thermoelastic phase transformations. It is known that the minimum value of the critical buckling load of these elements occur in the middle part of said phase transformation process may be considerably lower than the critical strength even in the least hard martensitic state. And the more “thick” is a member of the SPF, the more clearly manifested marked trend. For example, for a relatively short rods critical power can be several times smaller than the critical force in the isothermal martensitic state. In short elastic rods shift plays an important role. The question is, how important consideration of shear strain applied to the compressed elements of the SPF. In order to answer this question in this paper, two problems of loss of stability of the compressed short cantilever beam were considered of SPF for both forward and reverse thermoelastic martensitic transformations. In analyzing the stability of the rod it was used a number of hypotheses based on different assumptions about the presence of external load variations during buckling. As a result, it can be concluded that the accounting shear deformations little change values of the desired critical rod loads of SPF. More precisely, the changes made by taking into account the shear deformations play a much smaller role than in the case of purely elastic buckling.