A theoretical and experimental investigation of the stresses in a circular cylindrical shell with an oblique edge☆
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AbstractThe stresses in a circular cylindrical shell clamped along an oblique edge and subjected to internal pressure and to three mutually perpendicular moments and perpendicular forces applied at the free end were examined theoretically and experimentally. The theory was based on the assumption that the total stress state could be approximately determined as the sum of a membrane stress state, a pure bending stress state, both of which were determined by the membrane theory, and an edge effect. This approximation is valid only for a sufficiently thin shell. To investigate the applicability of the theory to a relatively thick shell with a large angle of inclination, an epoxy resin model, which had a radius-to-thickness ratio of 15 and was inclined at an angle of 45°, was instrumented with strain gages and tested with the same loadings that were analyzed theoretically. The theoretical and experimental stresses were then compared.The agreement between the theory and experimental results was reasonably good for the majority of the loadings even though the bounds of the theory were knowingly exceeded. For three of the loadings the predicted edge effect at one of the three circumferential locations examined was erroneous. The error actually was in the membrane theory, upon which the edge effect depended, and it was due to the shell of the experimental model being too thick for the membrane theory to be applicable. For a sufficiently thin shell, the theory would be expected to yield acceptable results for all seven loadings.

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