Stress and Buckling of Internally Pressurized, Elastic-Plastic Torispherical Vessel Heads—Comparisons of Test and Theory

Bushnell, David; Galletly, G. D.

doi:10.1115/1.3454519

Cited by 26 publications

(4 citation statements)

References 13 publications

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“…On the other hand, all the predictions were on the safe side. The fact that the quantitative agreement between the predicted and the experimental buckling pressures is only fair can be ascribed, at least partially, to the definition of the budding pressure (although it should be noted that a full BOSOR 5 analysis agreed very well 'Sotoe of these results also appear in Table 6 Transactions of the ASME Downloaded From: http://pressurevesseltech.asmedigitalcollection.asme.org/ on 06/13/2015 Terms of Use: http://asme.org/terms with the experimental results for the aluminium models -see Table 2 in [8]). …”

Section: A Comparison Of the Approximate Design Equations With Experisupporting

confidence: 54%

“…In [8], a comparison is given between theory and experiment for some small (0.137-m-dia) machined torispherical shell models. For the thicker specimens, measured and predicted strains agreed quite well; for the thinner shells, however, the observed strains were lower than the theoretical predictions.…”

Section: Introduction Plastic Collapse Of Thin Internally Pressurizedmentioning

confidence: 99%

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Plastic Collapse of Thin Internally Pressurized Torispherical Shells

Radhamohan

Galletly

1979

Journal of Pressure Vessel Technology

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The purpose of the present study was to calculate the plastic collapse pressures of a range of torispherical shells which were subjected to internal pressure.Factors of interest (and which were varied) were as follows: (a) The geometric parameters, i.e., r/D, R s /D and D/t, where (see Fig. 1): r = radius of toroidal portion of torisphere (knuckle radius) D = diameter of attached cylinder Rs = radius of spherical portion of torisphereDownloaded From: http://pressurevesseltech.asmedigitalcollection.asme.org/ on 06/13/2015 Terms of Use: http://asme.org/terms Downloaded From: http://pressurevesseltech.asmedigitalcollection.asme.org/ on 06/13/2015 Terms of Use: http://asme.org/terms Joumal of Pressure Vessel Technology NOVEMBER 1979, Vol. 101 / 313 Downloaded From: http://pressurevesseltech.asmedigitalcollection.asme.org/ on 06/13/2015 Terms of Use: http://asme.org/terms

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Section: A Comparison Of the Approximate Design Equations With Experisupporting

confidence: 54%

Section: Introduction Plastic Collapse Of Thin Internally Pressurizedmentioning

confidence: 99%

Plastic Collapse of Thin Internally Pressurized Torispherical Shells

Radhamohan

Galletly

1979

Journal of Pressure Vessel Technology

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“…Measured taickness around the circumferences of the torispherical beads at the latitudes where the maximum normal buckling modal displacement is predicted to occur (from Alishnell and Galletly [ 132] Figure 129 Geometry of cylindrical shell wall.…”

Section: "--mentioning

confidence: 99%

Computerized buckling analysis of shells

Bushnell¹

1985

Mechanics of Elastic Stability

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135

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“…The difficult problem of relating the imperfect torispheres found in practice to these perfect shells was not discussed in the above papers. However, some experimental buckling results obtained on small machined models made from aluminium alloy were compared with the predictions of theory [see (14) and ( The difficulties involved in the transition from perfect torispheres to torisphercs in practice were discussed in (1, 16, 17). The difficulties include thinning in spun shells, the consequent enhancement in mechanical properties for materials which strain-hardcn, welding and forming residual stresses and imperfections in geometric shape.…”

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Design Equations for Preventing Buckling in Fabricated Torispherical Shells Subjected to Internal Pressure

Galletly

1986

Proceedings of the Institution of Mechanical Engineers, Part A:

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Design rules to prevent buckling in thin fabricated torispherical shells subjected to internal pressure are not yet available in either Lhc. American or the British pressure vessel Codes. They are the subject of the present paper and some possible design equations are suggested. The equations were obtained from the buckling equations for peyfect torispheres ufter considering all known experimental results on fabricated models. The empirical constants in the proposed design equations depend on the type qf head construction used. i.e. whether crown and segment or pressed and spun. For both types of head the equations give a,factor of'safety of at least 1.5. The design equation proposed,for the crowin and segment heads was also checked on severul large aessels which hadfiiiled in serrice. The safety factorsfound for these rases were all greater than 1.7, which means that the t~essels would not haw buckled if the design equalion hud been available at the time. The other jailtire mode of these torispherical heads, i.e. large axisymmetric deformations leading to through-thickness yielding, is also discussed briefly. Curves are given which show that, for 300 < D/t < 500, buckling controls the failure mode in some cases and axisymmetric yidding in others. Neither the American nor the British codes recognize that buckling c:un occur in this Djt range but the theoreticul predictions haw been conjwmed by experimenls. However, the amount of lest data is limited and more work is needed on the topic.It is ulso shown in the paper that, for torispherical shells with Djt ratios in the range 300 < Djt < 500, the axisymmetric limit pressures, pas, are lower than both the internal buckling pressures and the large d&ction axisymmetric yielding pressures. From this, one would cxpect the failure modes to be axisymmetric in this Dit range. However, as some non-symmetric buckling failures haw occurred, the limit analysis predictionsfor thefuilure mode are thus not always correct. One ,feature of the experimental results on stainless .steel forispherical shells which are reviewed in the paper is the relatiixly poor buckling performance of the heads lested by Kemper in comparison with similar heads tested by Stanley and Campbell. As the values of the empirical constants in the design equations are controlled by the lowest test results, the higher bucking pressures obtained by StanleyjCampbell cannot be utilized unless an adequate explanation.for the difererence in lhe two sets of results is forthcoming. f P Pb Pcr PYP P C Pus PD r t 0263-7138186 5200 + 0 5

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Stress and Buckling of Internally Pressurized, Elastic-Plastic Torispherical Vessel Heads—Comparisons of Test and Theory

Cited by 26 publications

References 13 publications

Plastic Collapse of Thin Internally Pressurized Torispherical Shells

Plastic Collapse of Thin Internally Pressurized Torispherical Shells

Computerized buckling analysis of shells

Design Equations for Preventing Buckling in Fabricated Torispherical Shells Subjected to Internal Pressure

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