Analytical solutions in elasto-plasto bending of beams with rectangular cross section
Štok, Boris (Author), Halilovič, Miroslav (Author)

URLURL - Presentation file, Visit http://dx.doi.org/10.1016/j.apm.2008.03.011 This link opens in a new window

Deflection analysis of beams with rectangular cross section is considered under specific loading conditions, resulting in at most quadratic bending moment distribution, and assuming elasto-plastic behaviour with no hardening. Within the framework of small strain and small displacement approach analytical solutions are derived, which enable elasto-plastic analyses of beams to be performed in a closed analytical form. In consequence, clear tracing of the elasto-plastic response evolution with a propagation of the plastic zone through the volume, i.e. its spreading along the beam's longitudinal axis as well as its penetration through the cross section, is enabled as loads increase, from the appearance of a first plastic yielding in a structure till its collapse. With the derivation of the general solution, listed explicitly by Eqs. (21), (22) and (23), which was never presented in any article or book before, the presented article fills the gap in the analytical non-linear mechanics of beams.

Keywords:nosilci, upogib, elastoplastični materiali, analitične funkcije, beams, bending, elastic-plastic material, finite deflections, analityc functions, plastic collapse
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:FS - Faculty of Mechanical Engineering
Number of pages:str. 1749-1760
Numbering:Vol. 33, Issue 3
ISSN on article:0307-904X
DOI:10.1016/j.apm.2008.03.011 Link is opened in a new window
COBISS.SI-ID:10587419 Link is opened in a new window
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Record is a part of a journal

Title:Applied mathematical modelling
Shortened title:Appl. math. model.
Publisher:Butterworth Scientific Ltd
COBISS.SI-ID:24983552 This link opens in a new window

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