{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/40920"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/40920","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Direct determination of stiffness factor and carry-over factor for parabolic haunched beams","abstract":"In this study equations are developed for the direct determination of stiffness factor and carry-over factor for parabolic haunched beams. the conventional methods require long and tedious calculations, so the development of these equations, which require only the direct substitution of the variables, is useful. A digital computer was used to generate the data required to develop these general equations. A mathematical model was chosen for the general equation; then, by the statistical \"Method of Least Squares,\" the coefficients in the general equation were determined. The equations were then checked against the generated data to determine average errors in calculated values. Illustrative examples are given to explain the use of the equations.","abstract_html":"In this study equations are developed for the direct determination of stiffness factor and carry-over factor for parabolic haunched beams. the conventional methods require long and tedious calculations, so the development of these equations, which require only the direct substitution of the variables, is useful. A digital computer was used to generate the data required to develop these general equations. A mathematical model was chosen for the general equation; then, by the statistical &quot;Method of Least Squares,&quot; the coefficients in the general equation were determined. The equations were then checked against the generated data to determine average errors in calculated values. Illustrative examples are given to explain the use of the equations.","abstract_has_math":false,"creators":["Brand, Leonard"],"institution":"Virginia Tech","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Civil Engineering","degree_department":"Civil Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":["Gray, George A."],"committee_members":["Heterick, Robert C."],"year":1965,"date_issued":"1965-08-06","date_published":"1965-08-06","updated_at":"2026-07-22T22:18:46Z","subjects":[],"languages":[],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-02022010-020427"],"render_values":[{"text":"etd-02022010-020427","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/40920","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Gray, George A."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Heterick, Robert C."]},{"key":"dc:contributor.department","label":"Department","values":["Civil Engineering"]},{"key":"dc:creator","label":"Author","values":["Brand, Leonard"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-03-14T21:28:30Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-03-14T21:28:30Z","2010-02-02"]},{"key":"dc:date.issued","label":"Date","values":["1965-08-06"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Tech"]},{"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":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"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.other","label":"Dc Identifier Other","values":["etd-02022010-020427"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/40920"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this study equations are developed for the direct determination of stiffness factor and carry-over factor for parabolic haunched beams. the conventional methods require long and tedious calculations, so the development of these equations, which require only the direct substitution of the variables, is useful. A digital computer was used to generate the data required to develop these general equations. A mathematical model was chosen for the general equation; then, by the statistical \"Method of Least Squares,\" the coefficients in the general equation were determined. The equations were then checked against the generated data to determine average errors in calculated values. 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A digital computer was used to generate the data required to develop these general equations. A mathematical model was chosen for the general equation; then, by the statistical \"Method of Least Squares,\" the coefficients in the general equation were determined. The equations were then checked against the generated data to determine average errors in calculated values. 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