Plastic Loads for Internally Pressurized Toroidal Shells

[+] Author and Article Information
J. Błachut

The University of Liverpool, Mechanical Engineering, Liverpool L69 3GH, U.K.

J. Pressure Vessel Technol 127(2), 151-156 (May 27, 2005) (6 pages) doi:10.1115/1.1858925 History: Received September 02, 2004; Revised November 24, 2004; Online May 27, 2005
Copyright © 2005 by ASME
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Geometry of closed toroidal shell with circular cross-section
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Distribution of the Huber–Mises–Hencky effective stress around the tube in a closed, toroidal shell with circular cross-section and constant wall thickness
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Tube’s deformed cross-section at pressure, pyp, for selected geometries
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Typical variation of wall thickness in a spun toroid [Fig. 4(a)]. Also, typical wall thickness variation in toroids made from welded elbows [Fig. 4(b)—schedule ‘10’ elbows, model TWE1].
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Sketch illustrating the definition of plastic loads, pV1 and pV2 [Fig. 5(a)]. Also, view of toroidal shell after welding of elbows and attachment of two nozzles [Fig. 5(b)].
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Testing arrangements for volume measurements of expanding toroidal shell
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Plot of pressure versus ΔV/Vo curve for shell TWE1. Also, illustration how pV1 and pV2 were derived graphically from the experiment [Fig. 7(a)]. View of TWE1 after test and TWE2 prior to test [Fig. 7(b)].
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Position of first yield [Fig. 9(a)], and spread of plastic strains through the wall thickness at the level of two plastic loads, pV1 and pV2 [Figs. 9(b) and 9(c)]
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Position of first yield, and spread of plastic strains trough the wall thickness at pressures pV1 and pV2. Nominal geometry of TWE1 was used.
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Relative position of the first yield pressure, pyp, and two plastic loads pV1 and pV2 for internally pressurised torispherical shells




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