Effect of pressure coupling on discontinuity stresses in shells Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/cf95jf11v

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  • This thesis deals with the effect of pressure coupling on the stresses in shells having geometric discontinuities. The problems are, 1) cylinder with an axially symmetric thickness change and 2) cylinder with a hemispherical end closure. Solutions to the above problems are based on differential equations that included the straightening effect of the axial tension load. In each of the problems the only load was internal pressure. Our main objective was to obtain curves giving distribution of dimensionless discontinuity stresses for these problems. The problem we have solved first was the cylinder with a thickness change. We first hypothetically separated the cylinders at the thickness change and wrote the differential equations for the individual cylinders. The solutions to the differential equations that were thought to be of interest have been retained, and the boundary conditions of compatibility and force equilibrium used to evaluate the integration constants. Since the thinner cylinder would be the higher stressed, the emphasis of the analysis was placed on the thinner cylinder, from this point on. Non-dimensionalizing of the interface stress resultants, integration constants, solutions to the differential equations, and stress resultants, to put the results in terms of the minimum number of variables, was accomplished. The dimensionless equations were programed for the IBM 1410 computer and numerical values representing the dimensionless stress curves obtained and these curves were plotted by an IBM 1627 plotter. For the second problem the cylindrical and hemispherical portions were hypothetically separated and the solution for the sphere given by Cline ("Journal of Applied Mechanics", March 1963) has been used for the hemispherical portion and the solution found in the first problem used for the cylindrical portion. Again the boundary conditions of compatibility and force equilibrium enabled us to determine the integration constants. After non-dimensionalizing the interface stress resultants and the integration constants, to put the equations in terms of the minimum number of dimensionless variables, we wrote the non-dimensional stress equations. Again the dimensionless equations were programed for the IBM 1410 computer and the numerical values representing the dimensionless discontinuity stresses obtained and the curves plotted by an IBM 1627 plotter. Dimensionless design curves of the discontinuity stresses, the goal of this thesis, are presented.
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