The shape of the strongest column is arbitrarily close to the shape of the weakest column
Open Access
- 1 January 1988
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 46 (4) , 605-609
- https://doi.org/10.1090/qam/973378
Abstract
We reconsider the problem of determining the shape of the strongest column having a given length l l and volume V V . Previous results [13,7] have given optimal shapes for which the cross section vanishes at certain points. Although these results are mathematically correct, Theorem 1 below explains what is wrong with these anomalous shapes.Keywords
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