{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/114696"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/114696","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Moment-rotation relationships of reinforced concrete beams with and without web openings","abstract":"In developing inelastic methods of analyzing indeterminate reinforced concrete frameworks, one of the fundamental relationships that must be determined is that of moment versus rotation. In order for moment redistribution to take place, the cross-section must have adequate rotational capacity so that \"hinges\" can form. This thesis reports some recent findings showing that reinforced concrete members do possess considerable ductility and ability to form such hinges. Specifically, results are presented on a series of 4\" x 7\" x 6” -0\" beams loaded at the third points up to and beyond their ultimate capacities. Comparisons are made of ultimate moments and moment-rotation relationships for beams with and without web openings. The web openings are made in the tension zone of the beams; they vary in size from one-third to two-thirds of the affective area. The range of steel area is from 1% to 3%.","abstract_html":"In developing inelastic methods of analyzing indeterminate reinforced concrete frameworks, one of the fundamental relationships that must be determined is that of moment versus rotation. In order for moment redistribution to take place, the cross-section must have adequate rotational capacity so that "hinges" can form. This thesis reports some recent findings showing that reinforced concrete members do possess considerable ductility and ability to form such hinges. Specifically, results are presented on a series of 4" x 7" x 6” -0" beams loaded at the third points up to and beyond their ultimate capacities. Comparisons are made of ultimate moments and moment-rotation relationships for beams with and without web openings. The web openings are made in the tension zone of the beams; they vary in size from one-third to two-thirds of the affective area. The range of steel area is from 1% to 3%.","abstract_has_math":false,"creators":["Cheng, Robert Chung-nan"],"institution":"Virginia Polytechnic Institute","degree_name":"M.S.","degree_level":"masters","degree_discipline":"Civil Engineering","degree_department":"Civil Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1965,"date_issued":"1965","date_published":"1965","updated_at":"2026-07-22T22:18:50Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/114696","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Civil Engineering"]},{"key":"dc:creator","label":"Author","values":["Cheng, Robert Chung-nan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2023-04-20T14:53:46Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2023-04-20T14:53:46Z"]},{"key":"dc:date.issued","label":"Date","values":["1965"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/114696"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In developing inelastic methods of analyzing indeterminate reinforced concrete frameworks, one of the fundamental relationships that must be determined is that of moment versus rotation. In order for moment redistribution to take place, the cross-section must have adequate rotational capacity so that \"hinges\" can form. This thesis reports some recent findings showing that reinforced concrete members do possess considerable ductility and ability to form such hinges. Specifically, results are presented on a series of 4\" x 7\" x 6” -0\" beams loaded at the third points up to and beyond their ultimate capacities. Comparisons are made of ultimate moments and moment-rotation relationships for beams with and without web openings. The web openings are made in the tension zone of the beams; they vary in size from one-third to two-thirds of the affective area. The range of steel area is from 1% to 3%."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["M.S."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Moment-rotation relationships of reinforced concrete beams with and without web openings"]}]}],"canonical_facts":{"dc:contributor.department":["Civil Engineering"],"dc:creator":["Cheng, Robert Chung-nan"],"dc:date.accessioned":["2023-04-20T14:53:46Z"],"dc:date.available":["2023-04-20T14:53:46Z"],"dc:date.issued":["1965"],"dc:description.abstract":["In developing inelastic methods of analyzing indeterminate reinforced concrete frameworks, one of the fundamental relationships that must be determined is that of moment versus rotation. In order for moment redistribution to take place, the cross-section must have adequate rotational capacity so that \"hinges\" can form. This thesis reports some recent findings showing that reinforced concrete members do possess considerable ductility and ability to form such hinges. Specifically, results are presented on a series of 4\" x 7\" x 6” -0\" beams loaded at the third points up to and beyond their ultimate capacities. Comparisons are made of ultimate moments and moment-rotation relationships for beams with and without web openings. The web openings are made in the tension zone of the beams; they vary in size from one-third to two-thirds of the affective area. 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