Accession Number:

AD0272649

Title:

A SPHERICAL SHELL UNDER POINT LOADS AT ITS POLES

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s):

• KOITER,W.T.

Report Date:

1962-02-01

Pagination or Media Count:

1.0

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. Reissners results for a shallow spherical shell under a point load at its apex Journ. of Math. and Phys. 2580-85, 279-300, 1947 are confirmed the discrepancies remain within the limits of accuracy of shell theory. Author

Descriptors:

• *LOAD DISTRIBUTION
• *SHELLS(STRUCTURAL FORMS)
• FUNCTIONS(MATHEMATICS)
• LINEAR SYSTEMS
• LOADING(ORDNANCE PROJECTORS)
• MECHANICS
• TENSOR ANALYSIS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE