Geometrical optimization of arched structures under stochastic loading
Thesis: M. Eng., Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2016.
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| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2016
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| Online Access: | http://hdl.handle.net/1721.1/104189 |
| _version_ | 1811093532610396160 |
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| author | Brownfield, Daniel Bradley |
| author2 | Corentin Fivet and John Ochsendorf. |
| author_facet | Corentin Fivet and John Ochsendorf. Brownfield, Daniel Bradley |
| author_sort | Brownfield, Daniel Bradley |
| collection | MIT |
| description | Thesis: M. Eng., Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2016. |
| first_indexed | 2024-09-23T15:46:37Z |
| format | Thesis |
| id | mit-1721.1/104189 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T15:46:37Z |
| publishDate | 2016 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1041892019-04-10T21:36:36Z Geometrical optimization of arched structures under stochastic loading Brownfield, Daniel Bradley Corentin Fivet and John Ochsendorf. Massachusetts Institute of Technology. Department of Civil and Environmental Engineering. Massachusetts Institute of Technology. Department of Civil and Environmental Engineering. Civil and Environmental Engineering. Thesis: M. Eng., Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2016. Cataloged from PDF version of thesis. Includes bibliographical references (pages 53). This 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. by Daniel Bradley Brownfield. M. Eng. 2016-09-13T19:10:22Z 2016-09-13T19:10:22Z 2016 2016 Thesis http://hdl.handle.net/1721.1/104189 958136856 eng M.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. http://dspace.mit.edu/handle/1721.1/7582 53 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Civil and Environmental Engineering. Brownfield, Daniel Bradley Geometrical optimization of arched structures under stochastic loading |
| title | Geometrical optimization of arched structures under stochastic loading |
| title_full | Geometrical optimization of arched structures under stochastic loading |
| title_fullStr | Geometrical optimization of arched structures under stochastic loading |
| title_full_unstemmed | Geometrical optimization of arched structures under stochastic loading |
| title_short | Geometrical optimization of arched structures under stochastic loading |
| title_sort | geometrical optimization of arched structures under stochastic loading |
| topic | Civil and Environmental Engineering. |
| url | http://hdl.handle.net/1721.1/104189 |
| work_keys_str_mv | AT brownfielddanielbradley geometricaloptimizationofarchedstructuresunderstochasticloading |