Persistent Link:
http://hdl.handle.net/10150/292023
Title:
Torsional properties of an ovaline cross section
Author:
Gottlieb, James Harold, 1954-
Issue Date:
1991
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Torsional properties of a solid, linearly elastic, and isotropic bar with the cross section in the shape of an ovaline were investigated. An ovaline is a variant of an ellipse defined by the parametric equations: x = a(1 + αcos²λ)cosλ, and y = b(1 + βsin²λ)sinλ. Only ovalines with a smooth, aerodynamic type of cross section under St. Venant torsion were considered. The torsional properties of interest included the maximum shear stress component, the maximum shear stress magnitude and the torsional stiffness. The results from twenty-eight finite element models were correlated to several candidate solutions for each of the torsional properties based on variances of the classical elliptical solution. Correction factors are provided where appropriate. The recommended methods of solution provide highly accurate results for the class of ovalines considered in a fraction of the time required to obtain results via the finite element method.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Engineering, Civil.; Engineering, Mechanical.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Graduate College; Civil Engineering and Engineering Mechanics
Degree Grantor:
University of Arizona
Advisor:
DaDeppo, Donald A.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleTorsional properties of an ovaline cross sectionen_US
dc.creatorGottlieb, James Harold, 1954-en_US
dc.contributor.authorGottlieb, James Harold, 1954-en_US
dc.date.issued1991en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractTorsional properties of a solid, linearly elastic, and isotropic bar with the cross section in the shape of an ovaline were investigated. An ovaline is a variant of an ellipse defined by the parametric equations: x = a(1 + αcos²λ)cosλ, and y = b(1 + βsin²λ)sinλ. Only ovalines with a smooth, aerodynamic type of cross section under St. Venant torsion were considered. The torsional properties of interest included the maximum shear stress component, the maximum shear stress magnitude and the torsional stiffness. The results from twenty-eight finite element models were correlated to several candidate solutions for each of the torsional properties based on variances of the classical elliptical solution. Correction factors are provided where appropriate. The recommended methods of solution provide highly accurate results for the class of ovalines considered in a fraction of the time required to obtain results via the finite element method.en_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.subjectEngineering, Civil.en_US
dc.subjectEngineering, Mechanical.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineCivil Engineering and Engineering Mechanicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorDaDeppo, Donald A.en_US
dc.identifier.proquest1346432en_US
dc.identifier.bibrecord.b2722711xen_US
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