Optimal Layout of Grillages

Allowance for the Cost of Supports and Optimization of Support Locations

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The theory of the optimal layout of least-weight grillages (beam systems) is extended to allow for the cost of supports with both vertical reactions and clamping moments. Closed-form analytical solutions are obtained by means of surprisingly simple geometrical constructions that provide a unified treatment of grillages with various types of boundary conditions. The extended theory is illustrated with a simple example, and the problem of optimal support locations is discussed.

Original languageEnglish
Pages (from-to)49-72
Number of pages24
JournalMechanics of Structures and Machines
Volume22
Issue number1
DOIs
Publication statusPublished - Jan 1 1994

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allowances
layouts
Layout
Boundary conditions
costs
optimization
Optimization
Costs
Analytical Solution
Closed-form
Vertical
boundary conditions
Moment
moments

ASJC Scopus subject areas

  • Engineering(all)

Cite this

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abstract = "The theory of the optimal layout of least-weight grillages (beam systems) is extended to allow for the cost of supports with both vertical reactions and clamping moments. Closed-form analytical solutions are obtained by means of surprisingly simple geometrical constructions that provide a unified treatment of grillages with various types of boundary conditions. The extended theory is illustrated with a simple example, and the problem of optimal support locations is discussed.",
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