Accession Number:

AD0600390

Title:

BENDING OF RECTANGULAR PLATES WITH FINITE DEFLECTIONS,

Descriptive Note:

Corporate Author:

NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s):

• Bauer,Frances
• Bauer,Louis
• Becker,William
• Reiss,Edward L.

Report Date:

1964-04-01

Pagination or Media Count:

27.0

Abstract:

A previously developed iterative procedure is applied to obtain numerical solutions of the von Karman equations for rectangular plates subjected to a uniform normal pressure. On the simple supported boundary it is assumed that the normal membrane stress and the tangential membrane displacement vanish. Solutions are obtained for a wide range of values of the loading parameter and the aspect ratio. Boundary layers develop both as the loading parameter and the aspect ratio increase. The stresses and deflections are examined and compared with an asymptotic solution which can be valid only in the interiors of long plates. A comparison is made with a previously obtained approximate solution by the Ritz method for the square plate. Author

Descriptors:

• *RECTANGULAR BODIES
• DEFORMATION
• LOADS(FORCES)
• DEFLECTION
• BOUNDARY VALUE PROBLEMS
• MATHEMATICAL ANALYSIS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE