We performed magnetic characterizations, using a vibrating sample magnetometer, of an internal tin-typeNb3Sn technological strand. In order to compare the properties of this sample under differentstrain conditions, the same strand was tested under compression, obtained by swaging andcompacting into thin stainless steel tubes before the heat treatment, as well as after a completerelaxation of the filament strain components, by chemical etching of the Cu and bronzematrix components. In particular, we analysed the Kramer extrapolated upper critical fieldBc2K, and the zero-fieldcritical temperature Tc(0) and its distribution, for all the samples. In order to clarify the effect of the strain due toboth the stainless steel reinforcement and the copper matrix thermal pre-compression, wecompared our experimental results with the predictions from well established scaling lawsbased on uniaxial models. Good agreement has been found with measured critical temperatureTc and extrapolatedupper critical field Bc2K values, with proper choice of fit parameters. On the other hand, we observed a broadening of the superconductingTc transition with increasing strain. This has to be ascribed to the effect of radial straincomponents, which cannot be neglected in the present work.