2020-11-24T14:05:54Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:34849
2020-03-31T06:56:45Z
7374617475733D7375626D6974746564
7375626A656374733D617271756974656374757261
7375626A656374733D636F6E737472756363696F6E
7375626A656374733D6D6174656D617469636173
7375626A656374733D6D6563616E696361
747970653D61727469636C65
On Galileo’s Tallest Column
Vázquez Espí, Mariano
Cervera Bravo, Jaime
Olmedo Rojas, Carlos Enrique
Architecture
Civil Engineering and Construction
Mathematics
Mechanics
The height at which an unloaded column will fail under its own weight was calculated for first time
by Galileo for cylindrical columns. Galileo questioned himself if there exists a shape function for the
cross-section of the column with which the latter can attains a greater height than the cylindrical
column. The problem is not solved since then, although the definition of the so named “constant
maximum strength” solids seems to give an affirmative answer to Galileo’s question, in the form of
shapes than can attains infinite height, even when loaded with a useful load at the top. The main
contribution of this work is to show that Galileo’s problem is (i) an important problem for structural
design theory of buildings and other structures, (ii) not solved by the time being in any sense and (iii)
a interesting problem for mathematicians involved in related but very different problems (as Euler’s
tallest column). A contemporary formulation of the problem is included as a result of a research on
the subject.
E.T.S. Arquitectura (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2015
info:eu-repo/semantics/article
Article
Mathematical Problems in Engineering, ISSN 1563-5147, 2015
NonPeerReviewed
application/pdf
eng
https://www.hindawi.com/journals/mpe/2015/649341/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1155/2015/649341
http://oa.upm.es/34849/