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Second-order analysis of plane frames with one element per member / Richard J. Balling in Journal of structural engineering, Vol. 137 N° 11 (Novembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 11 (Novembre 2011) . - pp. 1350-1358 Titre : Second-order analysis of plane frames with one element per member Type de document : texte imprimé Auteurs : Richard J. Balling, Auteur ; Jesse W. Lyon, Auteur Année de publication : 2012 Article en page(s) : pp. 1350-1358 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Second-order  analysis  Nonlinear  Geometric  stiffness  Plane  frame  Tangent  stiffness  Corotational Résumé : A corotational element is developed directly from the governing second-order differential equations of beam theory. The corotational element includes not only the effect of axial force on the bending moment (P-delta effect) but also the additional axial strain caused by end rotations. Hinged and semirigid end conditions are also included so that plastic hinges could be considered. The resulting local element tangent stiffness matrix is compared to traditional local element elastic and geometric stiffness matrices. The method is implemented and executed on two example problems in which only one element per member is used. Results compare favorably to those from a nonlinear commercial program in which several elements per member are used. A third example problem includes both geometric and material nonlinearity to develop a pushover curve. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i11/p1350_s1?isAuthorized=no [article] Second-order analysis of plane frames with one element per member [texte imprimé] / Richard J. Balling, Auteur ; Jesse W. Lyon, Auteur . - 2012 . - pp. 1350-1358. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 11 (Novembre 2011) . - pp. 1350-1358 Mots-clés : Second-order  analysis  Nonlinear  Geometric  stiffness  Plane  frame  Tangent  stiffness  Corotational Résumé : A corotational element is developed directly from the governing second-order differential equations of beam theory. The corotational element includes not only the effect of axial force on the bending moment (P-delta effect) but also the additional axial strain caused by end rotations. Hinged and semirigid end conditions are also included so that plastic hinges could be considered. The resulting local element tangent stiffness matrix is compared to traditional local element elastic and geometric stiffness matrices. The method is implemented and executed on two example problems in which only one element per member is used. Results compare favorably to those from a nonlinear commercial program in which several elements per member are used. A third example problem includes both geometric and material nonlinearity to develop a pushover curve. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i11/p1350_s1?isAuthorized=no