Minimum weight design and the theory of plastic collapse
Author:
J. Foulkes
Journal:
Quart. Appl. Math. 10 (1953), 347-358
DOI:
https://doi.org/10.1090/qam/99982
MathSciNet review:
QAM99982
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Abstract |
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Abstract: This paper examines the problem of assigning economical sections to the members of a structure whose geometrical form is given. The criterion of failure is taken to be that of the plastic theory of collapse, and the criterion of minimum weight is employed to determine the best design. A geometrical analogue of the equations involved is used to clarify their significance, and such proofs as there are in the text, are cast into geometrical terms. A method of solution is suggested at the end of the paper, but the primary concerns of the paper are the general features of the problem.
J. F. Baker, The design of steel frames, The Structural Engineer, 27, (1949).
H. J. Greenberg and W. Prager, On limit design of beams and frames, Proc. A. S. C. E. 77, Separate No. 59 (1951).
- Jacques Heyman, Plastic design of beams and plane frames for minimum material consumption, Quart. Appl. Math. 8 (1951), 373–381. MR 39533, DOI https://doi.org/10.1090/S0033-569X-1951-39533-9
T. C. Koopmans, Activity analysis of production and allocation, John Wiley & Sons, 1951.
P. S. Symonds and B. G. Neal, The rapid calculation of the plastic collapse load for a framed structure, Inst. Civ. Eng., Structural Paper No. 29.
J. F. Baker, The design of steel frames, The Structural Engineer, 27, (1949).
H. J. Greenberg and W. Prager, On limit design of beams and frames, Proc. A. S. C. E. 77, Separate No. 59 (1951).
J. Heyman, Plastic design of beams and plane frames for Minimum material consumption, Q. Appl. Maths. 8, 373 (1951).
T. C. Koopmans, Activity analysis of production and allocation, John Wiley & Sons, 1951.
P. S. Symonds and B. G. Neal, The rapid calculation of the plastic collapse load for a framed structure, Inst. Civ. Eng., Structural Paper No. 29.
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Article copyright:
© Copyright 1953
American Mathematical Society