Matrix analysis of rigid frames

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dc.contributor.authorMurden, William Paulen
dc.contributor.departmentApplied Mechanicsen
dc.date.accessioned2014-03-14T21:30:10Zen
dc.date.adate2010-02-23en
dc.date.available2014-03-14T21:30:10Zen
dc.date.issued1951en
dc.date.rdate2010-02-23en
dc.date.sdate2010-02-23en
dc.description.abstractThe matrix power series method of inversion is impractical, since the series diverges, or converges extremely slowly, except in the analysis of very special and, usually, impractical frames. Dwyer’s method, Zurmuhl’s method, and the method of partitioning, used with discrimination, suffice to invert any stiffness matrix with satisfactory rapidity. These methods are rapid enough to compete with moment distribution when a frame is to be analyzed for many loading conditions. This condition is met frequently enough to make a study of matrix algebra worth while for the structural engineer. Both Dwyer’s method and Zurmuhl’s method yield reasonable accuracy when four significant figures are used in the original stiffness matrix and four decimals are used throughout the computations, provided the stiffnesses of the frame members do not differ extremely.en
dc.description.degreeMaster of Scienceen
dc.format.extent70 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-02232010-020157en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-02232010-020157/en
dc.identifier.urihttp://hdl.handle.net/10919/41260en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1951.M874.pdfen
dc.relation.isformatofOCLC# 24313547en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1951.M874en
dc.subject.lcshBuilding -- Researchen
dc.subject.lcshMatrix mechanicsen
dc.titleMatrix analysis of rigid framesen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineApplied Mechanicsen
thesis.degree.grantorVirginia Polytechnic Instituteen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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