The coils of high field Nb3Sn magnets are submitted to large loads during assembly at ambient temperature and during operation at cold. This study addresses the characterization of the stress distribution on reacted and impregnated Nb3Sn Rutherford cables under transverse compression, at ambient temperature, in a similar configuration as seen during magnet assembly. We performed an experimental campaign on samples prepared in different configurations to measure the local stress distribution on the contact surface of the impregnated cable. Microstructural analysis of the residual sample deformation after the application of the load have also been done with X-ray absorption tomography. The results are presented and discussed in this paper.