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dc.contributor.authorChang, Chin-haoen
dc.date.accessioned2017-01-30T21:02:55Zen
dc.date.available2017-01-30T21:02:55Zen
dc.date.issued1956en
dc.identifier.urihttp://hdl.handle.net/10919/74539en
dc.description.abstractA general solution has been obtained for the lateral vibrations of a simply supported beam with constant cross-section carrying a concentrated mass at the mid-point of span. The elementary beam theory including the rotatory inertia of the beam is utilized. The frequency equation involves the product of two terms, roots arising from one of these being associated with symmetric vibration modes and from the other, antisymetric modes. The effect of the rotatory inertia of the beam on the roots of the frequency equations and on the normal mode shapes is investigated. The roots of ~he frequency equations are determined for the first ten modes for wide ranges of values of the significant parameters. These numerical results are depicted in tables and graphs. A study is made of the limiting values of the frequency roots for extreme values of the parameters.en
dc.format.extent34 leavesen
dc.format.mimetypeapplication/pdfen
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Instituteen
dc.relation.isformatofOCLC# 10538343en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1956.C526en
dc.subject.lcshGirdersen
dc.subject.lcshStrains and stressesen
dc.subject.lcshVibrationen
dc.titleLateral vibration of a beam carrying a concentrated mass at the mid-point, including the effect of rotatory inertiaen
dc.typeThesisen
dc.contributor.departmentApplied Mechanicsen
dc.description.degreeMaster of Scienceen
thesis.degree.nameMaster of Scienceen
thesis.degree.levelmastersen
thesis.degree.grantorVirginia Polytechnic Instituteen
thesis.degree.disciplineApplied Mechanicsen
dc.type.dcmitypeTexten


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