A SPHERICAL SHELL UNDER POINT LOADS AT ITS POLES
Abstract
A rigorous solution in closed form is obtained of the equations of the linear theory of shells for the case of a spherical shell under point loads at its poles. The solution reduces to a membrane state of stress at some distance from the poles. In the immediate vicinity of the poles, E. Reissner's results for a shallow spherical shell under a point load at its apex (Journ. of Math. and Phys. 25:80-85, 279-300, 1947) are confirmed; the discrepancies remain within the limits of accuracy of shell theory. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1962
- Accession Number
- AD0272649
Entities
People
- W.t. Koiter
Organizations
- Brown University