Accession Number:

AD0614541

Title:

THE SIGNIFICANCE OF SINGULAR CONFIGURATIONS OF STRUCTURES FROM THE STRENGTH OF MATERIALS POINT OF VIEW,

Descriptive Note:

Corporate Author:

LOUVAIN UNIV (BELGIUM)

Personal Author(s):

Report Date:

1964-08-01

Pagination or Media Count:

10.0

Abstract:

Simply connected structures, consisting of simple bars connecting multiple hinges, are considered. Furthermore external forces are assumed to act on these hinges. It is shown that when the configurations of the linkages are singular -- that is, when there exist parasitic degrees of freedom for small deformations of the structure which do not change the lengths of the bars -- the forces appearing in the bars become infinite when certain exceptional conditions are not satisfied by the external loading. This assumes vanishingly small bar elongations. A necessary condition to avoid infinite forces when the configuration is singular, is that the work performed by the external forces on the small parasitic deformation be null. This is also a sufficient condition when the structure is statically determinate. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE