TECHNICAL PAPERS
Apr 1, 1984

Truss Design: Two Loading Conditions with Prestress

Publication: Journal of Structural Engineering
Volume 110, Issue 4

Abstract

This paper reviews the effect of prestress on a simple truss design problem with two loading conditions. Optimality criteria are formulated on the “sum” and “difference” problems. These criteria are subsequently interpreted to imply that the optimal design is fully stressed and to develop an iterative design scheme. Examples are included.

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References

1.
Collatz, L., Functional Analysis and Numerical Mathematics, Academic Press, New York, N.Y., 1966.
2.
Dayaratrtam, P., and Patnaik, S., “Feasibility of Full Stress Design,” AIAA Journal, Vol. 7, No. 4, Apr., 1969, pp. 773–774.
3.
Felton, L. P., and Dobbs, M. W., “On Optimized Prestressed Trusses,” AIAA Journal, Vol. 15, No. 7, July, 1977, pp. 1037–1039.
4.
Gale, D., The Theory of Linear Economic Models, McGraw‐Hill Book Co., New York, N.Y., 1960.
5.
Hofmeister, L. D., and Felton, L. P., “Prestressing in Structural Synthesis,” AIAA Journal, Vol. 8, No. 2, Feb., 1970, pp. 363–364.
6.
Lasdon, L. S., Waren, A. D., and Ratner, M. W., “GRG2 User's Guide,” Sept., 1980.
7.
Lefcochilos, E., “Theory of Readability for Linearly Elastic Truss Structures and Related Applications in Optimum Structural Design,” thesis presented to Rensselaer Polytechnic Institute, at Troy, N.Y., in 1979, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
Levy, Robert, “Optimization of Trusses Under Two Loading Conditions in the Presence of Prestress,” thesis presented to Rensselaer Polytechnic Institute, at Troy, N.Y., in 1983, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
9.
Smart, D. R., Fixed Point Theorems, Cambridge University Press, Cambridge, Mass., 1974.
10.
Spillers, W. R., Iterative Structural Design, N. Holland Publishing Co.
11.
Spillers, W. R., Automated Structural Analysis: An Introduction, Pergamon Press, New York, N.Y., 1971.

Information & Authors

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 110Issue 4April 1984
Pages: 677 - 687

History

Published online: Apr 1, 1984
Published in print: Apr 1984

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Authors

Affiliations

William R. Spillers, M. ASCE
Prof. of Civ. Engrg., Rensselaer Polytech. Inst., Troy, N.Y. 12181
Robert Levy, A. M. ASCE
Asst. Prof. of Civ. Engrg., Rutgers Univ., New Brunswick, N.J.

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