A simple solution for a perforated beam in bending and traction

Theocaris, PS

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