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

dc.contributor.advisorKrahl, Nat W.en_US
dc.creatorNorwood, Edwin Ben_US
dc.date.accessioned2016-04-21T12:01:57Zen_US
dc.date.available2016-04-21T12:01:57Zen_US
dc.date.issued1968en_US
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.en_US
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>.en_US
dc.identifier.digitalRICE0278en_US
dc.identifier.urihttps://hdl.handle.net/1911/89241en_US
dc.language.isoengen_US
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.en_US
dc.titleDeformations and moments in circular plates of linearly variable thickness under self-weighten_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentChemical and Biomolecular Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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