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
Full-text PDF Free Access
Abstract |
Similar Articles |
Additional Information
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.
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
73.2X
Retrieve articles in all journals
with MSC:
73.2X
Additional Information
Article copyright:
© Copyright 1951
American Mathematical Society