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John Wallis and the Numerical Analysis of Structures.

Authors :
Houlsby, Guy
Source :
Nexus Network Journal: Architecture & Mathematics; Apr2014, Vol. 16 Issue 1, p207-217, 11p
Publication Year :
2014

Abstract

In 1695, in his Opera Mathematica, John Wallis (Savilian Professor of Geometry at the University of Oxford) published an analysis of the forces in a reciprocal grillage structure. The structure itself was an extended version of a famous design often attributed to Serlio, but first sketched much earlier by Villard de Honnecourt. The extended structure was also sketched by Leonardo da Vinci. Wallis's analysis is remarkable for the fact that he systematically (and correctly) solved a set of 25 simultaneous equations to obtain the required forces. The main steps in the analysis closely parallel the essential stages in modern Finite Element Analysis, and Wallis's calculations can be seen as a key step in the development of structural analysis techniques. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15905896
Volume :
16
Issue :
1
Database :
Complementary Index
Journal :
Nexus Network Journal: Architecture & Mathematics
Publication Type :
Academic Journal
Accession number :
96064414
Full Text :
https://doi.org/10.1007/s00004-014-0179-7