Plastic design of beams and plane frames for minimum material consumption
Author:
Jacques Heyman
Journal:
Quart. Appl. Math. 8 (1951), 373-381
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/39533
MathSciNet review:
39533
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Abstract: This paper is concerned with the design of plane frames in such a way that the material consumption is a minimum. The method of solution is to set up linear inequalities for the variables involved, and to solve these inequalities by the Dines$^{1}$ method. Three slightly different classes of problem are treated; collapse design under fixed loads, collapse design under varying loads, and shakedown design under varying loads. Illustrative examples of each are given.
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Article copyright:
© Copyright 1951
American Mathematical Society
