Optimal parabolic arches

An explicit solution for the elastic stress state in a thick parabolic arch subject only to symmetric loading at its foundations is presented. This solution is found using the complex variable method of plane elasticity. The proposed stress solution has the interesting property of being isoresistent...

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Published in:International journal of engineering science Vol. 48; no. 11; pp. 1433 - 1439
Main Authors: Leitman, M.J., Villaggio, P.
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.11.2010
Elsevier
Subjects:
Arches
Boundaries
Complex variables
Conveying
Exact sciences and technology
Exteriors
Foundations
Fundamental areas of phenomenology (including applications)
Hoop stress
Optimization
Physics
Plane elasticity
Shape optimization
Solid mechanics
Static elasticity (thermoelasticity...)
Stresses
Structural and continuum mechanics
Arches
Plane elasticity
Shape optimization
Curved beam
Geometrical shape
Mechanical properties
Arch
Hoop stress
Optimization
Complex variable method
ISSN:0020-7225, 1879-2197
Online Access:Get full text
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Abstract An explicit solution for the elastic stress state in a thick parabolic arch subject only to symmetric loading at its foundations is presented. This solution is found using the complex variable method of plane elasticity. The proposed stress solution has the interesting property of being isoresistent in the sense that exterior and interior boundaries of the arch convey constant hoop stresses of equal but opposite sign. Moreover, all hoop stresses are constant.
AbstractList An explicit solution for the elastic stress state in a thick parabolic arch subject only to symmetric loading at its foundations is presented. This solution is found using the complex variable method of plane elasticity. The proposed stress solution has the interesting property of being isoresistent in the sense that exterior and interior boundaries of the arch convey constant hoop stresses of equal but opposite sign. Moreover, all hoop stresses are constant.
An explicit solution for the elastic stress state in a thick parabolic arch subject only to symmetric loading at its foundations is presented. This solution is found using the complex variable method of plane elasticity. The proposed stress solution has the interesting property of being isoresistent in the sense that exterior and interior boundaries of the arch convey constant hoop stresses of equal but opposite sign. Moreover, all hoop stresses are constant.
Author Leitman, M.J.
Villaggio, P.
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  surname: Villaggio
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  email: dis@ing.unipi.it
  organization: Dipartimento di Ingegneria Civile, Sede di Strutture, Universitá di Pisa, Largo Lazzarino 1, I 56126 Pisa, Italy
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Issue 11
Keywords Arches
Plane elasticity
Shape optimization
Curved beam
Geometrical shape
Mechanical properties
Arch
Hoop stress
Optimization
Complex variable method
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Snippet An explicit solution for the elastic stress state in a thick parabolic arch subject only to symmetric loading at its foundations is presented. This solution is...
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SubjectTerms Arches
Boundaries
Complex variables
Conveying
Exact sciences and technology
Exteriors
Foundations
Fundamental areas of phenomenology (including applications)
Hoop stress
Optimization
Physics
Plane elasticity
Shape optimization
Solid mechanics
Static elasticity (thermoelasticity...)
Stresses
Structural and continuum mechanics
Title Optimal parabolic arches
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Volume 48
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