On the practical uselessness of structural designs derived from some theoretical optimal solutions

Vázquez Espí, Mariano and Cervera Bravo, Jaime (2013). On the practical uselessness of structural designs derived from some theoretical optimal solutions. Monografía (Working Paper). E.T.S. Arquitectura (UPM).

Description

Title: On the practical uselessness of structural designs derived from some theoretical optimal solutions
Author/s:
  • Vázquez Espí, Mariano
  • Cervera Bravo, Jaime
Item Type: Monograph (Working Paper)
Date: 2013
Subjects:
Freetext Keywords: Support cost, Michell trusses, fixed boundary problems, free loading problems
Faculty: E.T.S. Arquitectura (UPM)
Department: Estructuras de Edificación [hasta 2014]
UPM's Research Group: Grupo de Investigación en Arquitectura, Urbanismo y Sostenibilidad
Creative Commons Licenses: Recognition - Non commercial - Share

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Abstract

A recent study by Pichugin et al. recall the Hemp’s solution for uniform load of 1974, showing that if allowable tensile and compressive stresses are unequal then the Hemp’s arch is optimal provided the ratio of stresses falls within a certain interval. This work is undoubtedly an important pass forward to find an optimal solution for the mathematical problem stated by Hemp. Furthermore, the Authors suggest that their optimal solutions are potentially reasonable from a practical perspective for materials with more allowable compressive stress than tensile one, as this kind of materials used to be not too much expensive. In this paper we profoundly analyse the solutions of the Authors from this practical perspective finding that the original Hemp’s solution —albeit sub-optimal for the mathematical problem— leads to real designs that are more efficient than the theoretic optimal solutions of the Authors.We show that the reasons for this shocking fact has to do with the class of problems considered by Hemp and the Authors.

More information

Item ID: 14240
DC Identifier: http://oa.upm.es/14240/
OAI Identifier: oai:oa.upm.es:14240
Deposited by: Profesor Titular Mariano Vázquez Espí
Deposited on: 04 Jan 2013 09:26
Last Modified: 21 Apr 2016 13:47
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