CONFERENCE PROCEEDINGS
4th INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVIL ENGINEERING 2016 , 2016.y., pp. 133-142
COMPARATIVE ANALYSIS OF THE ELASTIC AND ELASTOPLASTIC CAPACITY OF A CROSS SECTION |
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DOI: 10.14415/konferencijaGFS 2016.012 |
UDC: 539.3 |
CC-BY-SA 4.0 license |
Author : Filipović, Aljoša; Divac, Ljubo; Šumarac, Dragoslav |
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| Summary: |
| Elastic capacity of the cross section is defined with a linear stress and strain
relationship and is determined from the condition that no plastic deformation can occur
at any point of the cross section. If the cross section is exposed to bending, then the
elastic capacity of the section is reached when the stress in the furthest points from the
neutral axis is equal to the yield strength of the material. Elastoplastic capacity of the
cross section is reached when the stress in every point of section get equal to the yield
strength of the material. More conservative design standards are based on the elastic
cross section capacity, while newer standards, such as Eurocod 3, allow engineer to
determine a cross section capacity by using an elastoplastic analysis, provided that
section can develop plastic moment resistance without local buckling preventing it. But
even the exhaustion of the elastoplastic capacity of the cross section at some point of the
construction does not necessarily mean the collapse of a structure. When we talk about
statically indeterminate structures, development of one plastic hinge only reduces the
degree of static indeterminacy, so the structure is still able to carry additional loads. In
this paper, the basics of the elastic and elastoplastic theories are given, as well as the
procedures for determining the limit load for statically indeterminate structures. Also, as
a numerical example, the steel frame will be analyzed in three different ways to show the
differences between elastic, elastoplastic and limit-load approach when calculating the
structures. |
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| Keywords: |
| Elasticity, plasticity, stress, strain, cross section, yield, plastic hinge |
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