2021Voronezh Scientific-Technical BulletinOpen access

PURE BENDING OF ELASTIC CURVE OF A BEAM

Vyacheslav Ogarkov, Aleksei Aksenov, Sergei Malyukov, A. E. Knyazev, N. A. Borodin

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Abstract

The problem of pure bending of an elastic curved beam with a given moment M is considered. It is proved that the values of stresses and strains found in this paper depend on the value of the Poisson's ratio μ. An exact analytical solution to this problem is obtained with the determination of unambiguous expressions for stresses and deformations.

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The problem of pure bending of an elastic curved beam with a given moment M is considered. It is proved that the values of stresses and strains found in this paper depend on the value of the Poisson's ratio μ. An exact analytical solution to this problem is obtained with the determination of unambiguous expressions for stresses and deformations.

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Available abstract

The problem of pure bending of an elastic curved beam with a given moment M is considered. It is proved that the values of stresses and strains found in this paper depend on the value of the Poisson's ratio μ. An exact analytical solution to this problem is obtained with the determination of unambiguous expressions for stresses and deformations.

Key concepts: Bending moment, Beam (structure), Poisson distribution, Pure bending, Bending, Moment (physics), Poisson's ratio, Materials science

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