A dynamic mechanical analyzer and a sample fixture for a dynamic mechanical analyzer that attaches fixed clamps in the sample fixture to a rigid frame using mounts that are compliant in the direction perpendicular to the sample displacement but which at the same time are resistant to rotation about the transverse direction of the sample. The compliant mounts include a pair of flexures that are attached to each fixed clamp and to the frame of the sample fixture. In an embodiment, the pair of flexures are thin flat members such that each pair constitutes two parallel leaf springs. The flexures flex to allow the fixed clamps to move perpendicularly to the sample displacement, but at the same time prevent rotation of the fixed clamps.