A review of simple formulae for elastic hoop stresses in cylindrical and spherical pressure vessels: What can be used when. (April 2015)

• Record Type: Journal Article
• Authors: Sinclair, G.B.; Helms, J.E.
• Is Part Of: International journal of pressure vessels and piping. Volume 128(2015)
• Page Start: 1
• Page End: 7
• Publication Date: 2015-04
• Subjects: Hoop stresses -- Pressure vessels -- Design formulae; Pressure vessels -- Periodicals; Pipe -- Periodicals; Récipients sous pression -- Périodiques; Tuyaux -- Périodiques; Pipe; Pressure vessels; Periodicals; 681.76041
• DOI: 10.1016/j.ijpvp.2015.01.006
• Languages: English
• ISSNs: 0308-0161

Abstract

Abstract: Classical simple formulae for elastic hoop stresses in cylindrical and spherical pressure vessels continue to be used in structural analysis today because they facilitate design procedures. Traditionally such formulae are only applied to thin-walled pressure vessels under internal pressure. There do exist, however, some variations of these formulae that remain simple yet permit wider use. Here, by reviewing various underlying rationales for simple hoop stress formulae, we make a determination of when and how well different formulae apply. For the formulae that do apply to thicker vessels than usually recognized, we give companion results for external pressure. Highlights: Consistent derivation of lower and upper bounds for hoop stresses. Justifies ranges of application for hoop stress formulae. Furnishes the cylindrical analogue of the improved formula for spheres in Roark. Provides correct formulae for external pressure, with applicable upper limits.