Three fundamental theorems of structural design theory
DOI:
https://doi.org/10.3989/ic.1989.v40.i399.1517Abstract
This article, after mentioning the well-known theories of Maxwell (1890) and Michell (1904), presents an important theorem on structural design, both for its theoretical generality as well as for its practical implications. The best structural design from among many alternatives is the most rigid one, the alternatives being understood to be alternatives in shape, maintaining the same use of materials (identical working tensions). In this fashion, the conception of modifications (in shape) in a design which reduces deformation of the structure means simultaneous reduction of materials. An explicit formulation is adopted for this theorem, considered as a property of optimal structures by Parkes (1965).
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