This paper presents an analysis of the stresses in V-section band clamps by examining the correlation between experimental work and theoretical models. Theoretical models incorporating traditional beam-bending theories and allowing for friction were developed to calculate the stress distribution and displacements within the clamps. The theoretical models demonstrated that the normal manufacturing tolerances associated with this type of component, combined with the uncontrolled operating parameters, will produce a wide variation in working stresses.These theoretical models were validated using strain and displacement measurements from a test with a V-section band clamp positioned around rigid anges. The experimental results all fell within the range of stresses predicted by the theoretical models. The paper provides a knowledge base for the rational design of V-section band clamps.

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This paper analyses the stress in a flat section band clamp and validates by experimental data the predictions based on the developed theory. In the experimental work flat section band clamps were positioned around the rigid cylinder and strain and corresponding displacement were measured; the clamp nut was tightened to gradually increasing torque until failure occurred. The error in stress and corresponding displacement predicted by the theory and that obtained by testing was found to be 1–2 per cent for the initial stage where the band is slack on the rigid cylinder, 3–5 per cent where the band makes contact with the cylinder and 5–7 per cent for post-yielding of the band material. This error could mainly be attributed to an uncertainty in the properties for the material and the accuracy of instrumentation. The coefficient of friction between the relevant components and the elastic modulus of the band material are the important properties, which influence the performance of the clamp. In the current experimental work failure occurred in the T-bolt.

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Previous work on the elastic deformation of flat-section band clamps has been extended to account for plastic deformation of the band material. Both finite element analysis using a multilinear plastic model and a classical approach using a continuous plastic equation are reported. The excellent agreement between the results of these two approaches provides a high level of confidence in the models. The finite element approach was found to be extremely time consuming owing to the combination of changing contact non-linearity and material nonlinearity. The classical approach provided a much faster solution method when used with the iteration schemes proposed here. The classical method of analysis was used to determine the response to a range of conditions. This analysis showed that there might be some advantage in driving flat-section band clamps into the partially plastic state. In this state the coefficient of friction has far less impact on the variation in circumferential stress, and hence radial clamping force, around the band.

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