Lateral-torsional buckling of compressed and highly variable cross section beams
In the critical state of a beam under central compression a flexural-torsional equilibrium shape becomes possible in addition to the fundamental straight equilibrium shape and the Euler bending. Particularly, torsional configuration takes place in all cases where the line of shear centres does not c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2016-06-01
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| Series: | Curved and Layered Structures |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/cls.2016.3.issue-1/cls-2016-0012/cls-2016-0012.xml?format=INT |
| _version_ | 1811303576918556672 |
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| author | Mascolo Ida Pasquino Mario |
| author_facet | Mascolo Ida Pasquino Mario |
| author_sort | Mascolo Ida |
| collection | DOAJ |
| description | In the critical state of a beam under central compression
a flexural-torsional equilibrium shape becomes
possible in addition to the fundamental straight equilibrium
shape and the Euler bending. Particularly, torsional
configuration takes place in all cases where the line of
shear centres does not correspond with the line of centres
of mass. This condition is obtained here about a z-axis
highly variable section beam; with the assumptions that
shear centres are aligned and line of centres is bound to
not deform.
For the purpose, let us evaluate an open thin wall C-cross
section with flanges width and web height linearly variables
along z-axis in order to have shear centres axis approximately
aligned with gravity centres axis.
Thus, differential equations that govern the problem are
obtained.
Because of the section variability, the numerical integration
of differential equations that gives the true critical
load is complex and lengthy. For this reason, it is given
an energetic formulation of the problem by the theorem of
minimum total potential energy (Ritz-Rayleigh method).
It is expected an experimental validation that proposes the
model studied. |
| first_indexed | 2024-04-13T07:50:34Z |
| format | Article |
| id | doaj.art-9307eb8796e9463d8efd817d382568e9 |
| institution | Directory Open Access Journal |
| issn | 2353-7396 |
| language | English |
| last_indexed | 2024-04-13T07:50:34Z |
| publishDate | 2016-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj.art-9307eb8796e9463d8efd817d382568e92022-12-22T02:55:34ZengDe GruyterCurved and Layered Structures2353-73962016-06-013110.1515/cls-2016-0012cls-2016-0012Lateral-torsional buckling of compressed and highly variable cross section beamsMascolo Ida0Pasquino Mario1University of Naples Federico II DiSt Via Claudio 21, 80125 Naples, ItalyUniversity of Naples Federico II DiSt Via Claudio 21, 80125 Naples, ItalyIn the critical state of a beam under central compression a flexural-torsional equilibrium shape becomes possible in addition to the fundamental straight equilibrium shape and the Euler bending. Particularly, torsional configuration takes place in all cases where the line of shear centres does not correspond with the line of centres of mass. This condition is obtained here about a z-axis highly variable section beam; with the assumptions that shear centres are aligned and line of centres is bound to not deform. For the purpose, let us evaluate an open thin wall C-cross section with flanges width and web height linearly variables along z-axis in order to have shear centres axis approximately aligned with gravity centres axis. Thus, differential equations that govern the problem are obtained. Because of the section variability, the numerical integration of differential equations that gives the true critical load is complex and lengthy. For this reason, it is given an energetic formulation of the problem by the theorem of minimum total potential energy (Ritz-Rayleigh method). It is expected an experimental validation that proposes the model studied.http://www.degruyter.com/view/j/cls.2016.3.issue-1/cls-2016-0012/cls-2016-0012.xml?format=INTBuckling analysis theorem of minimum total potential energy Ritz-Rayleigh method variable cross section beam coupled flexural-torsional buckling shear centre position in variable section beams |
| spellingShingle | Mascolo Ida Pasquino Mario Lateral-torsional buckling of compressed and highly variable cross section beams Curved and Layered Structures Buckling analysis theorem of minimum total potential energy Ritz-Rayleigh method variable cross section beam coupled flexural-torsional buckling shear centre position in variable section beams |
| title | Lateral-torsional buckling of compressed and
highly variable cross section beams |
| title_full | Lateral-torsional buckling of compressed and
highly variable cross section beams |
| title_fullStr | Lateral-torsional buckling of compressed and
highly variable cross section beams |
| title_full_unstemmed | Lateral-torsional buckling of compressed and
highly variable cross section beams |
| title_short | Lateral-torsional buckling of compressed and
highly variable cross section beams |
| title_sort | lateral torsional buckling of compressed and highly variable cross section beams |
| topic | Buckling analysis theorem of minimum total potential energy Ritz-Rayleigh method variable cross section beam coupled flexural-torsional buckling shear centre position in variable section beams |
| url | http://www.degruyter.com/view/j/cls.2016.3.issue-1/cls-2016-0012/cls-2016-0012.xml?format=INT |
| work_keys_str_mv | AT mascoloida lateraltorsionalbucklingofcompressedandhighlyvariablecrosssectionbeams AT pasquinomario lateraltorsionalbucklingofcompressedandhighlyvariablecrosssectionbeams |