Toroidal-type shells free of bending under uniform normal pressure

✍ Scribed by M.V.V. Murthy; J. Kiusalaas

• Publisher: Elsevier Science
• Year: 1966
• Tongue: English
• Weight: 460 KB
• Volume: 282
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(66)90565-5

✦ Synopsis

SUMMXaY:

The linear membrane solution is known to be inadmissible in the case of a toroidal shell of circular cross-section under uniform hydrostatic pressure, as it leads to a serious violation of the compatibility condition. This paper shows that the compatibility can be restored by a slight change in the meridian of the shell, rather than by resorting to bending or non-linear membrane theories. Exact solutions, within the linear shell theory, are given for the shape of the meridian, stresses and displacements.

x Obtained by revolving a meridian in the form of a circle about an axis which lies outside the meridian.