{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23745"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23745","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Optimization of plane frames by modification of fully stressed design method","abstract":"In statically indeterminate frame structures, the load carried by each member is not only a function of the applied load, but in general a highly non-linear function of the relative cross-sectional properties of the members. Since the feasible region is non-convex, it is possible to have more than one local minimum each corresponding to a load-carrying mode. Each local minimum represents the optimal design for a particular mode of behavior of the structure which is a design with an efficient distribution of the material in the structure. The local minimum that represents an optimal design for a particular mode of behavior in a structure can be fully-stressed or non-fully-stressed, indicating that the design does not have to be fully-stressed to be optimal. However, the fully-stressed design method converges to the optimal design for a particular mode of behavior only when it is fully-stressed.","abstract_html":"In statically indeterminate frame structures, the load carried by each member is not only a function of the applied load, but in general a highly non-linear function of the relative cross-sectional properties of the members. Since the feasible region is non-convex, it is possible to have more than one local minimum each corresponding to a load-carrying mode. Each local minimum represents the optimal design for a particular mode of behavior of the structure which is a design with an efficient distribution of the material in the structure. The local minimum that represents an optimal design for a particular mode of behavior in a structure can be fully-stressed or non-fully-stressed, indicating that the design does not have to be fully-stressed to be optimal. However, the fully-stressed design method converges to the optimal design for a particular mode of behavior only when it is fully-stressed.","abstract_has_math":false,"creators":["Alsalloum, Yousef A."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Engineering, General","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T14:25:30Z","date_published":"2011-05-07T14:25:30Z","updated_at":"2026-07-22T22:25:22Z","subjects":["Engineering, General","Engineering, Civil"],"languages":["eng"],"rights":["Copyright 1989 Alsalloum, Yousef A."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9010792","(UMI)AAI9010792"],"render_values":[{"text":"AAI9010792","href":null,"code":true},{"text":"(UMI)AAI9010792","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23745","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Alsalloum, Yousef A."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T14:25:30Z","10000-01-01","1989"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Engineering, General","Engineering, Civil"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, General","Engineering, Civil"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1989 Alsalloum, Yousef A."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9010792","(UMI)AAI9010792","http://hdl.handle.net/2142/23745"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In statically indeterminate frame structures, the load carried by each member is not only a function of the applied load, but in general a highly non-linear function of the relative cross-sectional properties of the members. Since the feasible region is non-convex, it is possible to have more than one local minimum each corresponding to a load-carrying mode. Each local minimum represents the optimal design for a particular mode of behavior of the structure which is a design with an efficient distribution of the material in the structure. The local minimum that represents an optimal design for a particular mode of behavior in a structure can be fully-stressed or non-fully-stressed, indicating that the design does not have to be fully-stressed to be optimal. However, the fully-stressed design method converges to the optimal design for a particular mode of behavior only when it is fully-stressed.","An algorithm based on both fully-stressed design and the Kuhn-Tucker conditions for optimality can be used to reach both fully-stressed and non-fully-stressed local minima. To obtain the non-fully-stressed local minimum, each design determined by the fully-stressed design method is forced to move to the boundary surface and then the Kuhn-Tucker conditions for optimality are employed to push the new design toward the local minimum under investigation in the design space. The fully-stressed design method is also used to identify the permanently active constraints as well as to improve the design. This algorithm and the identification of the active constraints with the help of the fully-stressed design method form a general approach to optimize stress limited frames. Several numerical examples are presented in details.","The algorithm is then extended to include displacement constraints in the formulation besides the stress constraints. A new approach called the displacement elimination approach is developed to optimize these problems. The simple fully-stressed design method also plays a major role in this approach.","Made available in DSpace on 2011-05-07T14:25:30Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9010792.pdf: 6631658 bytes, checksum: f5b60375ac27cb1bd868241b72c8e1d1 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:06:33Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:31:58-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Optimization of plane frames by modification of fully stressed design method"]}]}],"canonical_facts":{"dc:creator":["Alsalloum, Yousef A."],"dc:date":["2011-05-07T14:25:30Z","10000-01-01","1989"],"dc:description":["In statically indeterminate frame structures, the load carried by each member is not only a function of the applied load, but in general a highly non-linear function of the relative cross-sectional properties of the members. Since the feasible region is non-convex, it is possible to have more than one local minimum each corresponding to a load-carrying mode. Each local minimum represents the optimal design for a particular mode of behavior of the structure which is a design with an efficient distribution of the material in the structure. The local minimum that represents an optimal design for a particular mode of behavior in a structure can be fully-stressed or non-fully-stressed, indicating that the design does not have to be fully-stressed to be optimal. However, the fully-stressed design method converges to the optimal design for a particular mode of behavior only when it is fully-stressed.","An algorithm based on both fully-stressed design and the Kuhn-Tucker conditions for optimality can be used to reach both fully-stressed and non-fully-stressed local minima. To obtain the non-fully-stressed local minimum, each design determined by the fully-stressed design method is forced to move to the boundary surface and then the Kuhn-Tucker conditions for optimality are employed to push the new design toward the local minimum under investigation in the design space. The fully-stressed design method is also used to identify the permanently active constraints as well as to improve the design. This algorithm and the identification of the active constraints with the help of the fully-stressed design method form a general approach to optimize stress limited frames. Several numerical examples are presented in details.","The algorithm is then extended to include displacement constraints in the formulation besides the stress constraints. A new approach called the displacement elimination approach is developed to optimize these problems. The simple fully-stressed design method also plays a major role in this approach.","Made available in DSpace on 2011-05-07T14:25:30Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9010792.pdf: 6631658 bytes, checksum: f5b60375ac27cb1bd868241b72c8e1d1 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:06:33Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:31:58-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"],"dc:identifier":["AAI9010792","(UMI)AAI9010792","http://hdl.handle.net/2142/23745"],"dc:language":["eng"],"dc:rights":["Copyright 1989 Alsalloum, Yousef A."],"dc:subject":["Engineering, General","Engineering, Civil"],"dc:title":["Optimization of plane frames by modification of fully stressed design method"],"dc:type":["text"],"thesis:degree_discipline":["Engineering, General","Engineering, Civil"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:22Z"}