A simple solution for a perforated beam in bending and traction

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dc.contributor.author Theocaris, PS en
dc.date.accessioned 2014-03-01T01:07:04Z
dc.date.available 2014-03-01T01:07:04Z
dc.date.issued 1988 en
dc.identifier.issn 0001-5970 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/9768
dc.subject Boundary Condition en
dc.subject Integral Equation en
dc.subject Perforation en
dc.subject Satisfiability en
dc.subject Stress Field en
dc.subject.classification Mechanics en
dc.subject.other PLATES en
dc.subject.other STRUCTURAL DESIGN - Structural Analysis en
dc.subject.other BENDING STRESSES en
dc.subject.other PERFORATED STRIP en
dc.subject.other THIN BEAM en
dc.subject.other BEAMS AND GIRDERS en
dc.title A simple solution for a perforated beam in bending and traction en
heal.type journalArticle en
heal.identifier.primary 10.1007/BF01173935 en
heal.identifier.secondary http://dx.doi.org/10.1007/BF01173935 en
heal.language English en
heal.publicationDate 1988 en
heal.abstract A complex potential solution for the problem of an infinite beam subjected to simple bending and axial traction along its longitudinal axis was established by using simple complex stress functions for the plain beam case, to which stress functions expressed in the form of integral equations were superimposed which satisfy the boundary conditions at the rim of the central perforation of the beam. Evaluation of the first stress invariant along the rim the hole allows the definition of the caustics and its initial curves formed around the hole which define the state of stress at its neighborhood. The characteristic properties of the caustics were studied which were three-lobe epicycloids and the relationships of their dimensions with the surrounding elastic stress field. The domain of influence of these perforations was defined which allowed their use as stress rosettes for evaluating the stress field at different points of the beam without any mutual influence and with the longitudinal boundaries of the beam. The method may be used as a hybrid measuring device in applications. © 1988 Springer-Verlag. en
heal.publisher Springer-Verlag en
heal.journalName Acta Mechanica en
dc.identifier.doi 10.1007/BF01173935 en
dc.identifier.isi ISI:A1988M762500002 en
dc.identifier.volume 71 en
dc.identifier.issue 1-4 en
dc.identifier.spage 21 en
dc.identifier.epage 38 en

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