Deformations and moments in circular plates of linearly variable thickness under self-weight

dc.contributor.advisorKrahl, Nat W.
dc.creatorNorwood, Edwin B
dc.date.accessioned2016-04-21T12:01:57Z
dc.date.available2016-04-21T12:01:57Z
dc.date.issued1968
dc.description.abstractThis thesis reports an analytical solution for circular plates of linearly variable thickness, with a central circular hole, under self-weight. The plate is oriented in a horizontal position. The thickness decreases linearly with the distance from the center of the plate. Two cases are considered: Case I has the inner edge simply supported and the outer edge free; Case II has the inner edge rigidly supported and the outer edge free. The differential equation for both cases is solved in closed form for slope. Equations for radial and tangential moments are obtained directly from the slope equation. Deflections are calculated from slopes by numerical integration using Simpson's 1/3 rule. Numerical results for practical problems may be obtained either by use of a computer program which is presented or by use of tables of dimensionless coefficients. Use of computer program and tables is explained by an example.
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent114 ppen_US
dc.identifier.callnoThesis C.E. 1968 NORWOODen_US
dc.identifier.citationNorwood, Edwin B. "Deformations and moments in circular plates of linearly variable thickness under self-weight." (1968) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89241">https://hdl.handle.net/1911/89241</a>.
dc.identifier.digitalRICE0278en_US
dc.identifier.urihttps://hdl.handle.net/1911/89241
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.titleDeformations and moments in circular plates of linearly variable thickness under self-weight
dc.typeThesis
dc.type.materialText
thesis.degree.departmentChemical and Biomolecular Engineering
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science
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