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dc.contributor.advisorCorentin Fivet and John Ochsendorf.en_US
dc.contributor.authorBrownfield, Daniel Bradleyen_US
dc.contributor.otherMassachusetts Institute of Technology. Department of Civil and Environmental Engineering.en_US
dc.date.accessioned2016-09-13T19:10:22Z
dc.date.available2016-09-13T19:10:22Z
dc.date.copyright2016en_US
dc.date.issued2016en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/104189
dc.descriptionThesis: M. Eng., Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2016.en_US
dc.descriptionCataloged from PDF version of thesis.en_US
dc.descriptionIncludes bibliographical references (pages 53).en_US
dc.description.abstractThis thesis presents a method for determining the moment-optimized shape y(x) for arched structures under unpredictable loading scenarios. A frame geometry optimization derivation is presented that demonstrates the relationship between certain unpredicted loads and an equivalent guaranteed loading condition that is more easily solvable through standard equilibrium analysis. The relationship is then broadened to generate the geometric form for arches experiencing randomly applied point loads over continuous intervals. The conclusions from the frame derivation and subsequent applications are summarized in a generalizable conjecture regarding stochastic loading, which states that the moment-optimized arch geometry y₁(x), when subjected to a random point load P with a likelihood of occurrence determined by a probability density function f(x), is equal to the zero-moment solution y₂(x) for an arch subjected to a distributed load u(x) when f(x) = u(x). The conjecture is further reinforced by form-finding models programmed to minimize maximum moments under stochastic loading using structural analysis software. Conceding an extensive range of applicability, this relationship is a direct asset when considering the design of structures subjected to projectile impacts, the location of which are oftentimes unpredictable. As such, an in-progress military shelter development project is examined as a case study to demonstrate the practicality of the theorem.en_US
dc.description.statementofresponsibilityby Daniel Bradley Brownfield.en_US
dc.format.extent53 pagesen_US
dc.language.isoengen_US
dc.publisherMassachusetts Institute of Technologyen_US
dc.rightsM.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.en_US
dc.rights.urihttp://dspace.mit.edu/handle/1721.1/7582en_US
dc.subjectCivil and Environmental Engineering.en_US
dc.titleGeometrical optimization of arched structures under stochastic loadingen_US
dc.typeThesisen_US
dc.description.degreeM. Eng.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Civil and Environmental Engineering.en_US
dc.identifier.oclc958136856en_US


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