On Galileo’s Tallest Column
Joint Authors
Vázquez Espí, Mariano
Cervera Bravo, Jaime
Olmedo Rojas, Carlos
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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 it can attain 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 which seem to attain 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) an 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.
American Psychological Association (APA)
Vázquez Espí, Mariano& Cervera Bravo, Jaime& Olmedo Rojas, Carlos. 2015. On Galileo’s Tallest Column. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074391
Modern Language Association (MLA)
Vázquez Espí, Mariano…[et al.]. On Galileo’s Tallest Column. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1074391
American Medical Association (AMA)
Vázquez Espí, Mariano& Cervera Bravo, Jaime& Olmedo Rojas, Carlos. On Galileo’s Tallest Column. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074391
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074391