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Elastic critical moment for bisymmetric steel profiles and its sensitivity by the finite difference method
- Source :
- International Journal of Applied Mechanics and Engineering, Vol 21, Iss 1, Pp 37-59 (2016)
- Publication Year :
- 2016
- Publisher :
- Sciendo, 2016.
-
Abstract
- It is widely known that lateral-torsional buckling of a member under bending and warping restraints of its cross-sections in the steel structures are crucial for estimation of their safety and durability. Although engineering codes for steel and aluminum structures support the designer with the additional analytical expressions depending even on the boundary conditions and internal forces diagrams, one may apply alternatively the traditional Finite Element or Finite Difference Methods (FEM, FDM) to determine the so-called critical moment representing this phenomenon. The principal purpose of this work is to compare three different ways of determination of critical moment, also in the context of structural sensitivity analysis with respect to the structural element length. Sensitivity gradients are determined by the use of both analytical and the central finite difference scheme here and contrasted also for analytical, FEM as well as FDM approaches. Computational study is provided for the entire family of the steel I- and H - beams available for the practitioners in this area, and is a basis for further stochastic reliability analysis as well as durability prediction including possible corrosion progress.
- Subjects :
- Fluid Flow and Transfer Processes
Materials science
business.industry
Mathematical analysis
finite element method
Finite difference method
Mechanics of engineering. Applied mechanics
020101 civil engineering
Transportation
02 engineering and technology
Structural engineering
TA349-359
Finite element method
thin walled structures
0201 civil engineering
020303 mechanical engineering & transports
Critical moment
0203 mechanical engineering
sensitivity analysis
Sensitivity (control systems)
critical moment
business
finite difference method
Civil and Structural Engineering
Subjects
Details
- Language :
- English
- ISSN :
- 23539003 and 17344492
- Volume :
- 21
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- International Journal of Applied Mechanics and Engineering
- Accession number :
- edsair.doi.dedup.....4d00e015e1bfe8d783b55f458c537f31