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The Quarterly Journal of Mechanics and Applied Mathematics 1959 12(1):82-88; doi:10.1093/qjmam/12.1.82
© 1959 by Oxford University Press
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SHRINK-FIT STRESSES BETWEEN TUBES HAVING A FINITE INTERVAL OF CONTACT

R. T. SEVERN

( (Dept. of Civil Engineering, University of Bristol) )

The evaluation of shrinkage stresses when the contact interval between two tubes is infinite has already been discussed elsewhere (1). Part I of this paper discusses the evaluation of shrinkage stresses when the contact interval between two infinite tubes is finite. The method considers each tube separately and uses relaxation methods to find the radial displacement distribution along its length due to a unit, axially-symmetric, radial pressure acting on a small length of each of the two surfaces which are in contact. An integral equation is then solved embodying these two displacements to find the shrinkage-stresses. Part II discusses the problem when both tubes are finite (e.g. collar on a shaft) by solving the elastic equations for the stress-functions {varphi} and {psi} (2) with special conditions at the contact interface.


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