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The effect of a transverse shear acting on the edge of a circular cutout in a simply supported circular cylindrical shell

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Summary

First, the solution to the problem of a simply supported circular cylindrical shell (without a cutout) subjected to a circumferential segmental line load at the middle of the shell is derived. Next, the negatives of the stress resultants and stress couples at a given radius ϱ0, obtained from this solution, are combined with a transverse shear force to form the edge conditions for a circular cylindrical shell containing a circular cutout with radius ϱ0. The desired solution is finally obtained by superposing the above two solutions. The convergence of the series, obtained in the first part, is improved for the complete region near and on the segmental line load. Numerical results are presented.

Übersicht

Es wird zunächst die Lösung für die Spannungsverteilung in einer einfach gelagerten kreiszylindrischen Schale ohne Ausschnitt angegeben. Die Schale wird durch eine Linienlast längs eines Umfangs in der Mitte der Schale belastet. Die hierfür erhaltenen Kräfte und Momente für einen gegebenen Radius ϱ0 werden dann mit einer Quer-Schubkraft kombiniert, um die Randbedingungen für eine kreiszylindrische Schale mit rundem Ausschnitt vom Radius ϱ0 zu erhalten. Die gewünschte Lösung wird schließlich durch Überlagerung der beiden Teillösungen erhalten. Die Konvergenz der dabei auftretenden Reihenentwicklungen wird für den Bereich der Belastungslinie verbessert. Numerische Ergebnisse werden angegeben.

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  1. Indiana University - Purdue University, 1201 East 38th Street, 46205, Indianapolis, Ind., USA

    A. K. Naghdi & J. M. Gersting Jr.

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  1. A. K. Naghdi
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  2. J. M. Gersting Jr.
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Naghdi, A.K., Gersting, J.M. The effect of a transverse shear acting on the edge of a circular cutout in a simply supported circular cylindrical shell. Ing. arch 42, 141–150 (1973). https://doi.org/10.1007/BF00533077

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  • DOI: https://doi.org/10.1007/BF00533077

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