Solution of the Three Forces Problem in a Case of Two Forces Being Mutually Orthogonal

Tomasz Grzegorz Sokół , Tomasz Denis Lewiński

Abstract

The present paper delivers some new numerical and exact solutions of the three forces problem which is one of fundamental problems of Michell’s truss theory. The problem is to find the lightest fully stressed truss transmitting three self-equilibrated co-planar forces. In this study we limit our considerations to the case of two forces being mutually orthogonal. The aim of the paper is to classify possible layouts of optimal trusses depending on the position of the applied lateral point load (the positions of the other two forces are fixed, which, however, does not restrict the scope of the study). The exact analytical solutions are obtained with a great help of numerical solutions which enable proper prediction of the optimal layouts
Author Tomasz Grzegorz Sokół IIB
Tomasz Grzegorz Sokół,,
- The Institute of Civil Engineering
, Tomasz Denis Lewiński IIB
Tomasz Denis Lewiński,,
- The Institute of Civil Engineering
Journal seriesEngineering Transactions (Rozprawy inżynierskie), ISSN 0867-888X
Issue year2016
Vol64
No4
Pages485-491
Publication size in sheets0.5
Keywords in Englishtopology optimization; Michell trusses; three forces problem
URL http://et.ippt.gov.pl/index.php/et/article/view/758
Languageen angielski
Score (nominal)15
ScoreMinisterial score = 15.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 15.0, 28-11-2017, ArticleFromJournal
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