The authors present the results of an investigation into clamping problems associated with the flexural testing of specimens which are clamped at both ends for dynamic mechanical thermal analysis (DMTA). Two major factors which must be considered when modelling the specimen's behaviour have been identified. It is shown that the use of simple beam theory to extract complex moduli is not justified, and more accurate models are required. An appropriate model is presented which shows that a knowledge of factors other than force, deflection and specimen geometry are necessary to obtain accurate and reproducible results. Alternatively, the clamping system may be changed, and this option was pursued further. A new type of clamp has been designed, built and tested, which allows the specimen's behaviour to be described by simple beam theory. Static and dynamic tests have been performed, and accurate results have been obtained.