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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Bibliographic Details
Published inInternational journal of engineering science Vol. 48; no. 11; pp. 1433 - 1439
Main Authors Leitman, M.J., Villaggio, P.
Format Journal Article
LanguageEnglish
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
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2010.03.005