Abstract
In this paper, we study the relationship between the number of redundant forces and the number of load conditions in a superstatic truss without sick members in order to accomplish fully stressed design.
This paper will not only improve the conclusion given by R. H. Gallagher et al., but also clarify the choice of load conditions (number, magnitude and form). Moreover, it will explain that some counter-examples in literatures are invalid.
Similar content being viewed by others
References
Gellatly, R.A. and R.H. Gallagher, Aeronautical Quart. XVII, (August, 1966).
Wright, P.M. and C.C. Feng, Trans. Engrg. Inst. of Canada, (1971).
Spillers, W.R. and John Farrell., J. Math. and Appl., 25, No. 2, (1969).
Barnett, R. L. and P. C. Herrmann, NASACR-1038, (May, 1968).
Owen, J. B. B.,The Analysis and Design of Light Structures, Arnold, London, (1965).
Hu Ting-zhong,Acta Scientiarum Naturalium Universitatis Jilinensis, No. 3, (1979). (in Chinese)
Hu Show-xin,Acta Scientiarum Naturalium Universitatis Jilinensis, No. 4, (1981). (in Chinese)
Traum, E. and W. Zalewski, Civil Engrg. Magz. July. (1968).
Dayaratnam, P. and S. Patniak, AIAA. J., 7, April, (1969).
Patniak S. and P. Dayaratnam, Int. J. Num. Methods Engrg., 2, (1970).
Gallagher, R. H. and O. C. Zienkiewicz,Optimum Structural Design Theory and Application, London, New York, Sydney, Toronto, (1973).
Feng Yuang-sheng,Proceedings of the Symposium of Computing Structural Mechanics, Vol. II, (1978). (in Chinese)
Li Bin-wei,Optimum Design of the Structure, Science Press, (1979). (in Chinese)
Aoki, M.,Introduction to Optimization Techniques, Macmillan Company, New York, (1971).
Author information
Authors and Affiliations
Additional information
Communicated by Zhong Wan-xie.
Rights and permissions
About this article
Cite this article
Ding-zhong, H. Fully stressed design of a superstatic truss with multiple loads (I). Appl Math Mech 4, 625–638 (1983). https://doi.org/10.1007/BF01874673
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01874673