Abstract
The paper deals with the optimal design of an elastic pinended member of given volume that is to serve as a beam for a part of its design life and as a column for the rest. The optimal design can be interpreted in two ways. Firstly, it is the design that has the maximum Euler buckling load in column action, subject to a prescribed maximum deflection as a beam. Secondly, it is the design that has the least deflection as a beam under a midspan concentrated load, subject to a minimum permissible Euler buckling load in column action. The effectiveness of the optimal design is judged by comparing it with a prismatic bar of the same volume.
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References
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Communicated by W. Prager
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Karihaloo, B.L., Parbery, R.D. Optimal design of multi-purpose beam-columns. J Optim Theory Appl 27, 439–448 (1979). https://doi.org/10.1007/BF00933034
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DOI: https://doi.org/10.1007/BF00933034