Conclusions
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1.
All cylindrical shells can be divided into two groups according to the dimensions of the weakening holes. The first group comprises shells with parameter ω≤1.0, where the weakening effect can be ignored and the loss of stability is of a general nature. Shells in the second group have ω>1, which characteristically manifest a local loss of stability.
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2.
For shells with L≤2D, the critical loads PK are practically identical for single-sided and through holes. The doubling of the area of sectional weakening in the case of through holes, i. e. when the condition of symmetrical loading of sections is observed, is equivalent, for this type of shell, to a single-sided weakening, i. e., where loading is unsymmetrical. For shells with L>2D the magnitude of the area of sectional weakening for through holes has a greater effect than the asymmetry of loading, and reduces the values of Pk.
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3.
The magnitude of the critical load Pk does not depend on the form of weakening (single-sided or through holes), but depends only on the coefficient of stress concentration at the hole boundary.
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4.
Interaction of weakening holes which are located on the generatrix occurs only in shells with c=h/ρ<4. For c=4, coefficient ηk has the same value as for shells with one hole (if the weakening coefficients ω are identical); and for c>4 an insignificant increase in ηk (up to 4%) is observed, compared with its values for shells with one hole.
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5.
Shells with through holes, and also with two or more holes on the generatrix (for c≥4), can be regarded as shells having one hole, provided that their proportions meet the limit L≤2D.
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Literature Cited
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Additional information
Zaporozh'e Branch of the Dnepropetrovsk Metallurgical Institute. Translated from Problemy Prochnosti, No. 5, pp. 113–118, May 1974.
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Shapovalov, A.P. Effect of circular unreinforced holes on the stability of axially loaded cylindrical shells in the elasticoplastic zone. Strength Mater 6, 638–643 (1974). https://doi.org/10.1007/BF01552414
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DOI: https://doi.org/10.1007/BF01552414