Abstract: A novel mechanical testing grip is disclosed which accounts for both eccentricity between the load cell and cross head, as well as machining tolerances in the specimen. The device includes a ball and socket joint disposed between two alignment members and secured by connecting members. The connecting members have curved elements for contacting correspondingly curved apertures of the alignment members so that substantially no extra force is exerted upon the test specimen. The grip does not require any heating or excessive waiting periods prior to conducting a mechanical test and can reduce the misalignment of a mechanical test specimen below about 0.02.degree. from the load axis.