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Journal ArticleDOI

Optimum plastic design of a portal frame for alternative loads.

William Prager
- 01 Sep 1967 - 
- Vol. 34, Iss: 3, pp 772-773
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TLDR
In this article, the minimum-weight design of a portal frame for alternative combinations of horizontal and vertical loads is discussed, and it is shown that the usual proof of the existence of a Foulkes mechanism as a necessary condition for minimum weight cannot be carried over to this problem.
Abstract
: Minimum-weight design of a portal frame for alternative combinations of horizontal and vertical loads is discussed. It is shown that the usual proof of the existence of a Foulkes mechanism as a necessary condition for minimum weight cannot be carried over to this problem. (Author)

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Book ChapterDOI

The Theory of Optimal Load Transmission by Flexure

TL;DR: In this article, the same moment fields minimize the volume of continuously variable reinforcement in fiber-reinforced plates of constant thickness for truss-like continua in which the cross-sectional areas are proportional to the absolute value of the member forces.
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Analytical methods in plastic structural design

TL;DR: The authors completely agree with the point of view of Prager192 who has emphasized that: “Because they use available resources in a most efficient manner, optimal designs are likely to have unexpected properties requiring special care in the formulation of problems of structural optimization.”
Journal ArticleDOI

Plastic analysis and synthesis of frames subjected to multiple loadings

TL;DR: In this paper, the statics and kinematics of framed structures are presented in mesh format and the constitutive relations of a perfectly plastic material are described for the simple limit behaviour envisaged.
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Classification and Comparison of LP Formulations for the Plastic Design of Frames

TL;DR: In this paper, the main purpose of this paper is to classify all such methods into four types, each with an associated dual formulation, and there is a brief discussion of their computational efficiencies and ease of automation.
Journal ArticleDOI

Computing alternative optimal collapse mechanisms

TL;DR: In this article, a simple algorithm based on the method of redundant forces is presented for the automatic generation of the alternative optimal collapse mechanisms, any of which may be the actual collapse mode.
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