Issues of Calculating of Beams With Various Cross - Sections in the Case of Complex ElasticPlastic Deformations

In the case of elastic - plastic deformations the real process is considered for the beam of rectangular cross section, that is, a nonlinear dependence between stress and deformation at pure bend. When 𝐸 = 0, proportions 𝑀 𝐼𝑛 = 𝐹 𝑅𝑛 = 𝜎 𝑦𝑛 were obtained, which express a real picture of bending. The calculated equation of deflection is derived, and a concrete example with its use has been resolved. On the example of a triangular cross section, the effect of the form of the cross section on the given calculations is shown. The task is considered when the beam at the same time has a cross section of a complex shape and be in conditions of complex deformation. At the oblique bending, an expression of the full plastic moment is given and its direction is established by the centroid focuses.

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Publication Details

Journal
Works of Georgian Technical University
Published
2025-09-25
DOI
https://doi.org/10.36073/1512-0996-2025-3-260-269
Primary Topic
Material Properties and Applications
Type
article
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article

Issues of Calculating of Beams With Various Cross - Sections in the Case of Complex ElasticPlastic Deformations

Tamaz Batsikadze, Jumber Nizharadze, Nugzar Murghulia
Works of Georgian Technical University
Material Properties and Applications
article

Issues of Calculating of Beams With Various Cross - Sections in the Case of Complex ElasticPlastic Deformations

Tamaz Batsikadze, Jumber Nizharadze, Nugzar Murghulia
article en

Abstract

In the case of elastic - plastic deformations the real process is considered for the beam of rectangular cross section, that is, a nonlinear dependence between stress and deformation at pure bend. When 𝐸 = 0, proportions 𝑀 𝐼𝑛 = 𝐹 𝑅𝑛 = 𝜎 𝑦𝑛 were obtained, which express a real picture of bending. The calculated equation of deflection is derived, and a concrete example with its use has been resolved. On the example of a triangular cross section, the effect of the form of the cross section on the given calculations is shown. The task is considered when the beam at the same time has a cross section of a complex shape and be in conditions of complex deformation. At the oblique bending, an expression of the full plastic moment is given and its direction is established by the centroid focuses.

Works of Georgian Technical University(3(537))
Openalex Percentile: Top 57%
Material Properties and Applications
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