Stiffness Matrix of Free-Standing Helical Stairs
The full, 12×12, stiffness matrix of a free-standing helicoidal stair is constructed in terms of its geometric characteristics. Knowledge of this stiffness matrix allows incorporation of the stair as a single element into a 3-dimensional model of a reinforced concrete building structure, for lateral...
Gespeichert in:
| Veröffentlicht in: | Journal of structural engineering (New York, N.Y.) N.Y.), 1987-01, Vol.113 (1), p.74-87 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 87 |
|---|---|
| container_issue | 1 |
| container_start_page | 74 |
| container_title | Journal of structural engineering (New York, N.Y.) |
| container_volume | 113 |
| creator | Fardis, Michael N Skouteropoulou, Anna-Maria O Bousias, Stathis N |
| description | The full, 12×12, stiffness matrix of a free-standing helicoidal stair is constructed in terms of its geometric characteristics. Knowledge of this stiffness matrix allows incorporation of the stair as a single element into a 3-dimensional model of a reinforced concrete building structure, for lateral load analysis. The elements of the stiffness matrix that affect the most the lateral stiffness of the structural system are presented in terms of the following geometric parameters: story height, axis inclination, opening angle in plan, and width and depth of the stairslab. For given story height, the magnitude of these elements is found to depend strongly only on the depth of the stairslab and on the opening angle of the stair. The lateral stiffness of the stair in any horizontal direction is found to be almost negligible for opening angles between 270° and 360°, but becomes quite significant for angles less than 180°. The reduction of stiffness due to axial and shear deformations of the stair is, generally, very small. |
| doi_str_mv | 10.1061/(ASCE)0733-9445(1987)113:1(74) |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_24709025</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>24709025</sourcerecordid><originalsourceid>FETCH-LOGICAL-a350t-d5dc3ac0de8c402ae98c9bf6b2868c8a7786329a69608133853f81e015824f6c3</originalsourceid><addsrcrecordid>eNqFkM9LwzAUgIMoOKf_Qw8i26H6XpM0qeBB5nTK1MMUvYUsS6TStTPpQP97U6Y7ag7JI3zv10fICcIpQo5ng8vZaDwEQWlaMMYHWEgxRKTnOBBsuEN6WDCacoavu6S3xfbJQQjvACA4yh6BWVs6V9sQknvd-vIzaVxy7a1NZ62uF2X9lkxsVRpdJfGj9OGQ7DldBXv08_bJ8_X4aTRJp483t6PLaaophzZd8IWh2sDCSsMg07aQppi7fJ7JXBqphZA5zQqdFzlIpFRy6iRaQC4z5nJD--RkU3flm4-1Da1alsHYqtK1bdZBZUxAARmP4MUGNL4JwVunVr5cav-lEFQnSqlOlOoMqM6A6kSpKEqhEizmH_800iGu6byuTRm2RSSyDNi_mOA5ZzyL2MsGi5RV783a19GSupuNH64m0XpsC93B7hJsE_8O-uec38rhi4k</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>24709025</pqid></control><display><type>article</type><title>Stiffness Matrix of Free-Standing Helical Stairs</title><source>American Society of Civil Engineers:NESLI2:Journals:2014</source><creator>Fardis, Michael N ; Skouteropoulou, Anna-Maria O ; Bousias, Stathis N</creator><creatorcontrib>Fardis, Michael N ; Skouteropoulou, Anna-Maria O ; Bousias, Stathis N</creatorcontrib><description>The full, 12×12, stiffness matrix of a free-standing helicoidal stair is constructed in terms of its geometric characteristics. Knowledge of this stiffness matrix allows incorporation of the stair as a single element into a 3-dimensional model of a reinforced concrete building structure, for lateral load analysis. The elements of the stiffness matrix that affect the most the lateral stiffness of the structural system are presented in terms of the following geometric parameters: story height, axis inclination, opening angle in plan, and width and depth of the stairslab. For given story height, the magnitude of these elements is found to depend strongly only on the depth of the stairslab and on the opening angle of the stair. The lateral stiffness of the stair in any horizontal direction is found to be almost negligible for opening angles between 270° and 360°, but becomes quite significant for angles less than 180°. The reduction of stiffness due to axial and shear deformations of the stair is, generally, very small.</description><identifier>ISSN: 0733-9445</identifier><identifier>EISSN: 1943-541X</identifier><identifier>DOI: 10.1061/(ASCE)0733-9445(1987)113:1(74)</identifier><identifier>CODEN: JSENDH</identifier><language>eng</language><publisher>Reston, VA: American Society of Civil Engineers</publisher><subject>Applied sciences ; Buildings ; Buildings. Public works ; Computation methods. Tables. Charts ; Exact sciences and technology ; External envelopes ; Opening. Closure. Circulation (stairs, etc.) ; Structural analysis. Stresses ; TECHNICAL PAPERS</subject><ispartof>Journal of structural engineering (New York, N.Y.), 1987-01, Vol.113 (1), p.74-87</ispartof><rights>Copyright © 1987 ASCE</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a350t-d5dc3ac0de8c402ae98c9bf6b2868c8a7786329a69608133853f81e015824f6c3</citedby><cites>FETCH-LOGICAL-a350t-d5dc3ac0de8c402ae98c9bf6b2868c8a7786329a69608133853f81e015824f6c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttp://ascelibrary.org/doi/pdf/10.1061/(ASCE)0733-9445(1987)113:1(74)$$EPDF$$P50$$Gasce$$H</linktopdf><linktohtml>$$Uhttp://ascelibrary.org/doi/abs/10.1061/(ASCE)0733-9445(1987)113:1(74)$$EHTML$$P50$$Gasce$$H</linktohtml><link.rule.ids>314,780,784,4024,27923,27924,27925,76193,76201</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=7565452$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=8142044$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Fardis, Michael N</creatorcontrib><creatorcontrib>Skouteropoulou, Anna-Maria O</creatorcontrib><creatorcontrib>Bousias, Stathis N</creatorcontrib><title>Stiffness Matrix of Free-Standing Helical Stairs</title><title>Journal of structural engineering (New York, N.Y.)</title><description>The full, 12×12, stiffness matrix of a free-standing helicoidal stair is constructed in terms of its geometric characteristics. Knowledge of this stiffness matrix allows incorporation of the stair as a single element into a 3-dimensional model of a reinforced concrete building structure, for lateral load analysis. The elements of the stiffness matrix that affect the most the lateral stiffness of the structural system are presented in terms of the following geometric parameters: story height, axis inclination, opening angle in plan, and width and depth of the stairslab. For given story height, the magnitude of these elements is found to depend strongly only on the depth of the stairslab and on the opening angle of the stair. The lateral stiffness of the stair in any horizontal direction is found to be almost negligible for opening angles between 270° and 360°, but becomes quite significant for angles less than 180°. The reduction of stiffness due to axial and shear deformations of the stair is, generally, very small.</description><subject>Applied sciences</subject><subject>Buildings</subject><subject>Buildings. Public works</subject><subject>Computation methods. Tables. Charts</subject><subject>Exact sciences and technology</subject><subject>External envelopes</subject><subject>Opening. Closure. Circulation (stairs, etc.)</subject><subject>Structural analysis. Stresses</subject><subject>TECHNICAL PAPERS</subject><issn>0733-9445</issn><issn>1943-541X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1987</creationdate><recordtype>article</recordtype><recordid>eNqFkM9LwzAUgIMoOKf_Qw8i26H6XpM0qeBB5nTK1MMUvYUsS6TStTPpQP97U6Y7ag7JI3zv10fICcIpQo5ng8vZaDwEQWlaMMYHWEgxRKTnOBBsuEN6WDCacoavu6S3xfbJQQjvACA4yh6BWVs6V9sQknvd-vIzaVxy7a1NZ62uF2X9lkxsVRpdJfGj9OGQ7DldBXv08_bJ8_X4aTRJp483t6PLaaophzZd8IWh2sDCSsMg07aQppi7fJ7JXBqphZA5zQqdFzlIpFRy6iRaQC4z5nJD--RkU3flm4-1Da1alsHYqtK1bdZBZUxAARmP4MUGNL4JwVunVr5cav-lEFQnSqlOlOoMqM6A6kSpKEqhEizmH_800iGu6byuTRm2RSSyDNi_mOA5ZzyL2MsGi5RV783a19GSupuNH64m0XpsC93B7hJsE_8O-uec38rhi4k</recordid><startdate>198701</startdate><enddate>198701</enddate><creator>Fardis, Michael N</creator><creator>Skouteropoulou, Anna-Maria O</creator><creator>Bousias, Stathis N</creator><general>American Society of Civil Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>198701</creationdate><title>Stiffness Matrix of Free-Standing Helical Stairs</title><author>Fardis, Michael N ; Skouteropoulou, Anna-Maria O ; Bousias, Stathis N</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a350t-d5dc3ac0de8c402ae98c9bf6b2868c8a7786329a69608133853f81e015824f6c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1987</creationdate><topic>Applied sciences</topic><topic>Buildings</topic><topic>Buildings. Public works</topic><topic>Computation methods. Tables. Charts</topic><topic>Exact sciences and technology</topic><topic>External envelopes</topic><topic>Opening. Closure. Circulation (stairs, etc.)</topic><topic>Structural analysis. Stresses</topic><topic>TECHNICAL PAPERS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fardis, Michael N</creatorcontrib><creatorcontrib>Skouteropoulou, Anna-Maria O</creatorcontrib><creatorcontrib>Bousias, Stathis N</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of structural engineering (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fardis, Michael N</au><au>Skouteropoulou, Anna-Maria O</au><au>Bousias, Stathis N</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stiffness Matrix of Free-Standing Helical Stairs</atitle><jtitle>Journal of structural engineering (New York, N.Y.)</jtitle><date>1987-01</date><risdate>1987</risdate><volume>113</volume><issue>1</issue><spage>74</spage><epage>87</epage><pages>74-87</pages><issn>0733-9445</issn><eissn>1943-541X</eissn><coden>JSENDH</coden><abstract>The full, 12×12, stiffness matrix of a free-standing helicoidal stair is constructed in terms of its geometric characteristics. Knowledge of this stiffness matrix allows incorporation of the stair as a single element into a 3-dimensional model of a reinforced concrete building structure, for lateral load analysis. The elements of the stiffness matrix that affect the most the lateral stiffness of the structural system are presented in terms of the following geometric parameters: story height, axis inclination, opening angle in plan, and width and depth of the stairslab. For given story height, the magnitude of these elements is found to depend strongly only on the depth of the stairslab and on the opening angle of the stair. The lateral stiffness of the stair in any horizontal direction is found to be almost negligible for opening angles between 270° and 360°, but becomes quite significant for angles less than 180°. The reduction of stiffness due to axial and shear deformations of the stair is, generally, very small.</abstract><cop>Reston, VA</cop><pub>American Society of Civil Engineers</pub><doi>10.1061/(ASCE)0733-9445(1987)113:1(74)</doi><tpages>14</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0733-9445 |
| ispartof | Journal of structural engineering (New York, N.Y.), 1987-01, Vol.113 (1), p.74-87 |
| issn | 0733-9445 1943-541X |
| language | eng |
| recordid | cdi_proquest_miscellaneous_24709025 |
| source | American Society of Civil Engineers:NESLI2:Journals:2014 |
| subjects | Applied sciences Buildings Buildings. Public works Computation methods. Tables. Charts Exact sciences and technology External envelopes Opening. Closure. Circulation (stairs, etc.) Structural analysis. Stresses TECHNICAL PAPERS |
| title | Stiffness Matrix of Free-Standing Helical Stairs |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T19%3A20%3A55IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Stiffness%20Matrix%20of%20Free-Standing%20Helical%20Stairs&rft.jtitle=Journal%20of%20structural%20engineering%20(New%20York,%20N.Y.)&rft.au=Fardis,%20Michael%20N&rft.date=1987-01&rft.volume=113&rft.issue=1&rft.spage=74&rft.epage=87&rft.pages=74-87&rft.issn=0733-9445&rft.eissn=1943-541X&rft.coden=JSENDH&rft_id=info:doi/10.1061/(ASCE)0733-9445(1987)113:1(74)&rft_dat=%3Cproquest_cross%3E24709025%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=24709025&rft_id=info:pmid/&rfr_iscdi=true |