A parametric investigation into the membrane stresses of hydrostatically loaded circular and elliptic toroidal shells

 

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dc.contributor.advisor Zingoni, Alphose en_ZA
dc.contributor.author Govender, Nishalin en_ZA
dc.date.accessioned 2017-09-22T11:58:51Z
dc.date.available 2017-09-22T11:58:51Z
dc.date.issued 2017 en_ZA
dc.identifier.citation Govender, N. 2017. A parametric investigation into the membrane stresses of hydrostatically loaded circular and elliptic toroidal shells. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/25284
dc.description.abstract This study explores the membrane stresses of hydrostatically loaded elliptical and circular toroidal tanks. Equations are derived, using the membrane theory of shells, to obtain equations which can accurately describe the meridional and hoop stress behaviour at locations sufficiently far away from any bending disturbance occurring within the shell. The derived expressions are validated using the finite element software ADINA, indicating excellent agreement between the analytical and numerical solutions. A parametric study is undertaken, whereby the membrane profiles for prolate, oblate and circular toroidal shells is investigated. Parameters which are varied are the opening and aspect ratio of toroidal shells. Stress resultant profiles are shown for numerous cases in order to aid designers on suitable ratios to minimise membrane stresses for use when designing hydrostatically loaded toroidal shells. Lastly, numerical examples are investigated, keeping the volume constant and comparing the surface area due to a variation of opening and aspect ratios. It was found that when investigating toroidal shells, considerations are required when choosing the aspect ratio and opening ratios. Based on the results obtained, compromises between prolate and circular cross-sections with relatively small opening ratios are recommended in order to minimise the cost and maximise the structural efficiency, based on the membrane stresses occurring within the shell. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Structural Engineering en_ZA
dc.title A parametric investigation into the membrane stresses of hydrostatically loaded circular and elliptic toroidal shells en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Engineering and the Built Environment
dc.publisher.department Department of Civil Engineering en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc (Eng) en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Govender, N. (2017). <i>A parametric investigation into the membrane stresses of hydrostatically loaded circular and elliptic toroidal shells</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering. Retrieved from http://hdl.handle.net/11427/25284 en_ZA
dc.identifier.chicagocitation Govender, Nishalin. <i>"A parametric investigation into the membrane stresses of hydrostatically loaded circular and elliptic toroidal shells."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 2017. http://hdl.handle.net/11427/25284 en_ZA
dc.identifier.vancouvercitation Govender N. A parametric investigation into the membrane stresses of hydrostatically loaded circular and elliptic toroidal shells. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 2017 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/25284 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Govender, Nishalin AB - This study explores the membrane stresses of hydrostatically loaded elliptical and circular toroidal tanks. Equations are derived, using the membrane theory of shells, to obtain equations which can accurately describe the meridional and hoop stress behaviour at locations sufficiently far away from any bending disturbance occurring within the shell. The derived expressions are validated using the finite element software ADINA, indicating excellent agreement between the analytical and numerical solutions. A parametric study is undertaken, whereby the membrane profiles for prolate, oblate and circular toroidal shells is investigated. Parameters which are varied are the opening and aspect ratio of toroidal shells. Stress resultant profiles are shown for numerous cases in order to aid designers on suitable ratios to minimise membrane stresses for use when designing hydrostatically loaded toroidal shells. Lastly, numerical examples are investigated, keeping the volume constant and comparing the surface area due to a variation of opening and aspect ratios. It was found that when investigating toroidal shells, considerations are required when choosing the aspect ratio and opening ratios. Based on the results obtained, compromises between prolate and circular cross-sections with relatively small opening ratios are recommended in order to minimise the cost and maximise the structural efficiency, based on the membrane stresses occurring within the shell. DA - 2017 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2017 T1 - A parametric investigation into the membrane stresses of hydrostatically loaded circular and elliptic toroidal shells TI - A parametric investigation into the membrane stresses of hydrostatically loaded circular and elliptic toroidal shells UR - http://hdl.handle.net/11427/25284 ER - en_ZA


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