{"id":{"repo_id":"toronto-retro","oai_identifier":"oai:utoronto.scholaris.ca:1807/92147"},"canonical_url":"https://search.dev.ndltd.org/etd/toronto-retro/oai:utoronto.scholaris.ca:1807/92147","repository":{"repo_id":"toronto-retro","name":"University of Toronto","base_url":"https://utoronto.scholaris.ca/server/oai/request"},"display":{"title":"Modelling Reinforced and Prestressed Concrete Structures Subjected to Shear and Torsion","abstract":"In the design and analysis of reinforced and prestressed concrete structures, engineers are often faced with complex loading conditions that require the assessment of members subjected to shear and torsion. To develop a better understanding of the behaviour of such structures, twelve shell element tests were conducted to investigate the influence of combined loads, reinforcement ratios and concrete strength on shear and torsion performance. Ten of the tests were subjected to combinations of in-plane shear and out-of-plane shear in addition to torsion, flexure and biaxial loads. The remaining two tests, cast from high-strength concrete, were subjected to combinations of in-plane shear and biaxial stresses. This thesis then presents five simplified analysis methods, based on the Modified Compression Field Theory, that can be used to model the behaviour of reinforced and prestressed concrete structures. Shell II-S, a three-layered sectional model capable of predicting the response of shells subjected to the eight stress resultants, is presented. Based on Shell II-S, a simplified three-layered finite element model for shells is presented, the method is called Shell II. These techniques are then used to inform the development of simplified design and analysis equations in the context of the Canadian shear design provisions. To assess the nonlinear response of beams subjected to the six stress resultants, a companion method to Shell II is presented, it is called VAST II. The finite element program is based on the variable angle space truss model for beams and can be used to rapidly model the full nonlinear response of structures in three-dimensions. Finally, a simplified calculation process, called the Single Element Method, is presented where a single membrane element is used along with simplified calculations to model the shear behaviour of slender and deep beams.","abstract_html":"In the design and analysis of reinforced and prestressed concrete structures, engineers are often faced with complex loading conditions that require the assessment of members subjected to shear and torsion. To develop a better understanding of the behaviour of such structures, twelve shell element tests were conducted to investigate the influence of combined loads, reinforcement ratios and concrete strength on shear and torsion performance. Ten of the tests were subjected to combinations of in-plane shear and out-of-plane shear in addition to torsion, flexure and biaxial loads. The remaining two tests, cast from high-strength concrete, were subjected to combinations of in-plane shear and biaxial stresses. This thesis then presents five simplified analysis methods, based on the Modified Compression Field Theory, that can be used to model the behaviour of reinforced and prestressed concrete structures. Shell II-S, a three-layered sectional model capable of predicting the response of shells subjected to the eight stress resultants, is presented. Based on Shell II-S, a simplified three-layered finite element model for shells is presented, the method is called Shell II. These techniques are then used to inform the development of simplified design and analysis equations in the context of the Canadian shear design provisions. To assess the nonlinear response of beams subjected to the six stress resultants, a companion method to Shell II is presented, it is called VAST II. The finite element program is based on the variable angle space truss model for beams and can be used to rapidly model the full nonlinear response of structures in three-dimensions. Finally, a simplified calculation process, called the Single Element Method, is presented where a single membrane element is used along with simplified calculations to model the shear behaviour of slender and deep beams.","abstract_has_math":false,"creators":["Proestos, Giorgio Talotti"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Civil Engineering","school":null,"contributors":[],"advisors":["Collins, Michael P","Bentz, Evan C","Calvi, Gian Michele"],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-11","date_published":"2018-11","updated_at":"2026-07-27T21:28:02Z","subjects":["Modelling","Prestressed Concrete","Reinforced Concrete","Shear","Structures","Torsion"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1807/92147","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Collins, Michael P","Bentz, Evan C","Calvi, Gian Michele"]},{"key":"dc:contributor.department","label":"Department","values":["Civil Engineering"]},{"key":"dc:creator","label":"Author","values":["Proestos, Giorgio Talotti"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-11"]},{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-11-19T18:04:36Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2018-11-19T18:04:36Z"]},{"key":"dc:date.issued","label":"Date","values":["2018-11"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Modelling","Prestressed Concrete","Reinforced Concrete","Shear","Structures","Torsion"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1807/92147"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In the design and analysis of reinforced and prestressed concrete structures, engineers are often faced with complex loading conditions that require the assessment of members subjected to shear and torsion. To develop a better understanding of the behaviour of such structures, twelve shell element tests were conducted to investigate the influence of combined loads, reinforcement ratios and concrete strength on shear and torsion performance. Ten of the tests were subjected to combinations of in-plane shear and out-of-plane shear in addition to torsion, flexure and biaxial loads. The remaining two tests, cast from high-strength concrete, were subjected to combinations of in-plane shear and biaxial stresses. This thesis then presents five simplified analysis methods, based on the Modified Compression Field Theory, that can be used to model the behaviour of reinforced and prestressed concrete structures. Shell II-S, a three-layered sectional model capable of predicting the response of shells subjected to the eight stress resultants, is presented. Based on Shell II-S, a simplified three-layered finite element model for shells is presented, the method is called Shell II. These techniques are then used to inform the development of simplified design and analysis equations in the context of the Canadian shear design provisions. To assess the nonlinear response of beams subjected to the six stress resultants, a companion method to Shell II is presented, it is called VAST II. The finite element program is based on the variable angle space truss model for beams and can be used to rapidly model the full nonlinear response of structures in three-dimensions. Finally, a simplified calculation process, called the Single Element Method, is presented where a single membrane element is used along with simplified calculations to model the shear behaviour of slender and deep beams."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph.D."]},{"key":"dc:title","label":"Title","values":["Modelling Reinforced and Prestressed Concrete Structures Subjected to Shear and Torsion"]}]}],"canonical_facts":{"dc:contributor.advisor":["Collins, Michael P","Bentz, Evan C","Calvi, Gian Michele"],"dc:contributor.department":["Civil Engineering"],"dc:creator":["Proestos, Giorgio Talotti"],"dc:date":["2018-11"],"dc:date.accessioned":["2018-11-19T18:04:36Z"],"dc:date.available":["2018-11-19T18:04:36Z"],"dc:date.issued":["2018-11"],"dc:description.abstract":["In the design and analysis of reinforced and prestressed concrete structures, engineers are often faced with complex loading conditions that require the assessment of members subjected to shear and torsion. To develop a better understanding of the behaviour of such structures, twelve shell element tests were conducted to investigate the influence of combined loads, reinforcement ratios and concrete strength on shear and torsion performance. Ten of the tests were subjected to combinations of in-plane shear and out-of-plane shear in addition to torsion, flexure and biaxial loads. The remaining two tests, cast from high-strength concrete, were subjected to combinations of in-plane shear and biaxial stresses. This thesis then presents five simplified analysis methods, based on the Modified Compression Field Theory, that can be used to model the behaviour of reinforced and prestressed concrete structures. Shell II-S, a three-layered sectional model capable of predicting the response of shells subjected to the eight stress resultants, is presented. Based on Shell II-S, a simplified three-layered finite element model for shells is presented, the method is called Shell II. These techniques are then used to inform the development of simplified design and analysis equations in the context of the Canadian shear design provisions. To assess the nonlinear response of beams subjected to the six stress resultants, a companion method to Shell II is presented, it is called VAST II. The finite element program is based on the variable angle space truss model for beams and can be used to rapidly model the full nonlinear response of structures in three-dimensions. Finally, a simplified calculation process, called the Single Element Method, is presented where a single membrane element is used along with simplified calculations to model the shear behaviour of slender and deep beams."],"dc:description.degree":["Ph.D."],"dc:identifier.uri":["http://hdl.handle.net/1807/92147"],"dc:subject":["Modelling","Prestressed Concrete","Reinforced Concrete","Shear","Structures","Torsion"],"dc:title":["Modelling Reinforced and Prestressed Concrete Structures Subjected to Shear and Torsion"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T21:28:02Z"}