Laboratorios virtuales:

Cada laboratorio virtual tiene introducción, objetivos, instrucciones, conclusiones y ayuda.

I.1-Variable section and materials along axis , Curved Beam column imperfection,including Buckling & (in & out) of plane imperfections , input section properties:

https://labmatlab-was.upv.es/webapps/home/Variable_Section_Curved_beancolumn_imperfection_general.html

I.2-Variable section and materials along axis , Curved Beam column imperfection,including Buckling & (in & out) of plane imperfections I-section:

https://labmatlab-was.upv.es/webapps/home/Variable_Section_Curved_Beamcolumn_imperfection.html

I.3-Curved Beam column imperfection,including Buckling & (in & out) of plane imperfections I-section:

https://labmatlab-was.upv.es/webapps/home/Curved_Beamcolumn_imperfection.html

1-Frame structures analysis, including Buckling & (in & out) of plane imperfections I-section:

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_imperfection_frame_es.html

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_imperfection_frame.html

2-Arch structures analysis, including Buckling & (in & out) of plane imperfections I-section:

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_imperfection_arch.html

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_imperfection_arch_es.html

3.1-Beam Column Analysis, including Buckling & (in & out) of plane imperfections I-section Mono symmetric:

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_imperfection_mono.html

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_imperfection_mono_es.html

3.2- Imperfection Beam Monosymmetric General.

https://labmatlab-was.upv.es/webapps/home/Beam_Monosymmetric_General.html

3.2.1- Imperfection beam open closed Torsion,

https://labmatlab-was.upv.es/webapps/home/Beam_imperfection_open_closed.html

4.1-Beam Column Analysis, including Buckling & (in & out) of plane imperfections I-section:

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_imperfection.html

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_imperfection_es.html

4.2-Fire resistance. Beam Column Analysis, including Buckling & (in & out) of plane imperfections I-section:

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_imperfection_fire.html

5-Beam Column Analysis, including Buckling & out of plane imperfections I-section:

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_in_out_of_plane.html

https://labmatlab-was.upv.es/webapps/home/Beamcolumn_in_out_of_plane_es.html

Matrix Beam 14×14 (Maple):

6 Buckling resistance. Under any loading. Imperfections. Any section and boundary condition. Nonlinear effects due to N My Mz B. Including load and support position (different imperfections allowed buckling mode, combination of sine and parabolic in direction y, z and torsional):

Timoshenko/Slivker:

https://laboratoriosvirtuales.upv.es/webapps/General_beam_instability_imperfection.html

Timoshenko/Slivker Dynamic

https://laboratoriosvirtuales.upv.es/webapps/General_beam_instability_imperfection_dynamic.html

Euler Bernoulli/ Vlasov:

https://labmatlab-was.upv.es/webapps/home/Bucklingresistanceopenclosed_imperfections_new_nel.html

6.1-Buckling resistance. Under any loading. Imperfections. Any section and boundary condition. Nonlinear effects due to N My Mz B. Including load and support position:

https://labmatlab-was.upv.es/webapps/home/Bucklingresistanceopenclosed_anyBC_N_My_Mz_B_U.html

6.2-Buckling resistance. Under any loading. Imperfections. Any section and boundary condition. Nonlinear effects due to N My Mz:

https://labmatlab-was.upv.es/webapps/home/Bucklingresistanceopenclosed_anyBC_N_My_Mz_U.html

6.3-Buckling resistance steel & aluminium. Under any loading. Imperfections. Any section and boundary condition. Nonlinear effects due to N My:

https://labmatlab-was.upv.es/webapps/home/Bucklingresistanceopenclosed_anyBC_N_My.html

6.4-Buckling resistance steel & aluminium. Under compression. Imperfections. Any section and boundary condition. Nonlinear effects due to N:

https://labmatlab-was.upv.es/webapps/home/Bucklingresistanceopenclosed_anyBC.html

7.1-Buckling resistance steel & aluminium. Simply supported (fork). Under compression. Imperfections. Open & closed sections:

https://labmatlab-was.upv.es/webapps/home/Bucklingresistanceopenclosed.html

https://labmatlab-was.upv.es/webapps/home/Bucklingresistanceopenclosed_es.html

7.2-Buckling resistance steel & aluminium. Simply supported (fork). Under compression. Imperfections. Open sections:

https://labmatlab-was.upv.es/webapps/home/Bucklingresistance.html

8-in following software different inplane, out of plane & torsional loading can be included, also boundary conditions, loading & lateral support position (z).
Geometric Imperfection Beam column analysis. Critical loads + Checking resistance (input file .txt, input .xls can be found in mathworks):

https://labmatlab-was.upv.es/webapps/home/LTBeamcolumn.html

9-Geometric Imperfection Frame 3D analysis. Critical loads + Checking resistance (input file .txt):

https://labmatlab-was.upv.es/webapps/home/Frame3D.html

10-Geometric Imperfection Frame 2D analysis. Critical loads + Checking resistance (input file .txt):

https://labmatlab-was.upv.es/webapps/home/FramePlane2D.html

11-Geometric Imperfection Arch 3D analysis. Critical loads + Checking resistance (input file .txt):

https://labmatlab-was.upv.es/webapps/home/Arch3D.html

12-Geometric Imperfection Arch 2D analysis. Critical loads + Checking resistance (input file .txt):

https://labmatlab-was.upv.es/webapps/home/ArchPlane2D.html

codigo fuente en:

https://es.mathworks.com/matlabcentral/profile/authors/3792691

Por ejemplo el LTBeamColumn con entrada de datos con excel:

https://es.mathworks.com/matlabcentral/fileexchange/121677-ltbeamcolumn-input-excel?s_tid=prof_contriblnk

In mathworks different software of cross section optimization under buckling due to compression can be found using different algorithm.

https://es.mathworks.com/matlabcentral/fileexchange/122592-optimization-buckling-resistance-general-open-section?s_tid=prof_contriblnk

articulos relacionados:

METAL BEAMS SUSCEPTIBLE TO OUT-OF-PLANE INSTABILITY DUE TO COMBINED COMPRESSION AND BENDING WITH GEOMETRIC IMPERFECTIONS

http://dx.doi.org/10.18057/IJASC.2024.20.4.10

Equivalent geometric imperfection definition in steel structures sensitive to flexural and/or torsional buckling due to compression.

https://doi.org/10.1016/j.engstruct.2015.03.065

Equivalent geometric imperfection definition in steel structures sensitive to lateral torsional buckling due to bending moment.

https://doi.org/10.1016/j.engstruct.2015.03.066

New method for metal beams sensitive to lateral torsional buckling with an equivalent geometrical UGLI imperfection.

https://doi.org/10.1016/j.istruc.2020.11.047

Assessment of in-Plane Behavior of Metal Compressed Members with Equivalent Geometrical Imperfection.

https://doi.org/10.3390/app10228174

Proposal to evaluate the ultimate limit state of slender structures. Part 1: Technical aspects.

https://doi.org/10.1016/j.engstruct.2006.05.014

Metodo aproximado para estimar el estado limite ultimo de estructuras metalicas esbeltas.

https://www.researchgate.net/publication/363891646_Tesis_Antonio_Aguero_Ramon-Llin_Metodo_aproximado_diseno_estructuras_metalicas

Consistency of imperfections in steel eurocodes

https://doi.org/10.3390/app13010554

Other Software to generate structures geometry (Autocad +Lisp+Fortran):

https://www.researchgate.net/publication/277669167_autocad_lisp-dwg

https://www.researchgate.net/publication/378483277_Structures_drawing

Other software matlab:

https://www.researchgate.net/publication/348870348_UGLI_imperfection_Frame_Buckling

https://www.researchgate.net/publication/348836833_Geometric_imperfection_analysis_Beams_LTBrar

https://www.researchgate.net/publication/348836680_UGLI_imperfection_Inplane_Buckling_Compressionrar

Software Fortran 3d analysis of frames with 6 DOF & 7 DOF inluding warping. Shell analysis BST & BCIZ elements(Fortran+Maple).

https://www.researchgate.net/publication/349110306_Shell_analysisrar#fullTextFileContent

https://www.researchgate.net/publication/349110212_Frame_analysisrar

https://www.researchgate.net/publication/349110449_Matrix

Proposal for geometric equivalent imperfection

Examples with laboratorios virtuales

Buckling resistance and geometric equivalent imperfection (flexural buckling about weak axis & torsional buckling, imperfection factor of 0.34 & 0.49):

Flexural Torsional buckling of asymmetrical section shear center different from centroid:

Example by default with LTbeamcolumn, (Lateral torsional buckling in the Figure below):

Plots: 1-lateral displacement, torsional rotation, bending about weak axis & bimoment.

2- utilization linear interaction & Vayas proposal.

3- shear forces Vy & Vz, warping {Tw} & Saint venant {Tt} torsional moment.

Arch 2D buckling:

Imperfection design ( shape first buckling mode & magnitude):

Internal forces imperfect structures:

Imperfect arch design: