The homogenization of a Vierendeel girders with elastic jointsis is treated in the paper. The starting point of the proposed method is the Stephen transfer matrix analysis and the polar Timoshenko beam is adopted as equivalent continuum of the Vierendeel girder. The polar character of the homogenized beam raises by the analysis of the pure bending eigenvector components of the girder force transfer matrix. Two bending moments are transmitted by the unit cell of the girder: one is caused by the couple of axial forces applied on each nodal section of the beam, the other is due to the moments present at the nodes of each ones by the adjacent cells and is modelled as the resultant of the micro-polar moments. The Transfer force eigenvector analysis bring out that the unit cell bends maintaining the webs undeformed. This property allows evaluating both the bending stiffnesses and the equivalent material micro-polar scale parameter with straightforward equations. The results of the homogenization procedure proposed are tested by comparison with litera-ture data and with the the outcomes of the analysis of a series of girders carried out by the finite element method.

Vierendeel girder homogenization into a polar beam / Esposito, L.; Gesualdo, A.; Iannuzzo, A.; Monaco, M.; Penta, F.; Pucillo, G. P.. - Vol. 4:(2017), pp. 2103-2118. (Intervento presentato al convegno AIMETA 2017-XXIII Conference of the Italian Association of Theoretical and Applied Mechanics tenutosi a Salerno nel 4-7 Settembre 2017).

Vierendeel girder homogenization into a polar beam

Esposito L.;Gesualdo A.;Penta F.;Pucillo G. P.
2017

Abstract

The homogenization of a Vierendeel girders with elastic jointsis is treated in the paper. The starting point of the proposed method is the Stephen transfer matrix analysis and the polar Timoshenko beam is adopted as equivalent continuum of the Vierendeel girder. The polar character of the homogenized beam raises by the analysis of the pure bending eigenvector components of the girder force transfer matrix. Two bending moments are transmitted by the unit cell of the girder: one is caused by the couple of axial forces applied on each nodal section of the beam, the other is due to the moments present at the nodes of each ones by the adjacent cells and is modelled as the resultant of the micro-polar moments. The Transfer force eigenvector analysis bring out that the unit cell bends maintaining the webs undeformed. This property allows evaluating both the bending stiffnesses and the equivalent material micro-polar scale parameter with straightforward equations. The results of the homogenization procedure proposed are tested by comparison with litera-ture data and with the the outcomes of the analysis of a series of girders carried out by the finite element method.
2017
Vierendeel girder homogenization into a polar beam / Esposito, L.; Gesualdo, A.; Iannuzzo, A.; Monaco, M.; Penta, F.; Pucillo, G. P.. - Vol. 4:(2017), pp. 2103-2118. (Intervento presentato al convegno AIMETA 2017-XXIII Conference of the Italian Association of Theoretical and Applied Mechanics tenutosi a Salerno nel 4-7 Settembre 2017).
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/695347
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 21
social impact