Elastoplastic Deflections for Prismatic and Nonprismatic Beams

Romano, Filippo; Ganduscio, Salvatore; Zingone, Gaetano

doi:10.1061/(asce)0733-9399(1993)119:6(1117)

Cited by 3 publications

(1 citation statement)

References 9 publications

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“…3 Research of the elastoplastic deflection of beams has been focused on the analysis of the beam-like structures with prismatic and non-prismatic rectangular cross-section made of elastic-perfectly plastic material. 4,5 Further research covered proposing of a new model for elastoplastic finite strain analysis of prismatic and non-prismatic rectangular cantilever beams under bending moment. 6 A theoretical solution has also been proposed for the large deflection analysis of prismatic rectangular cantilever beams made of elastoplastic materials with non-linear strain hardening.…”

Section: Introductionmentioning

confidence: 99%

Semi-analytical solution for elastoplastic deflection of prismatic fixed-end beams with circular cross-section

Zorić

Trajković-Milenković

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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Prismatic fixed-end beams with circular cross-section are often used in engineering. Therefore, there is a need for a solution of an elastoplastic deflection of prismatic fixed-end beams with circular cross-section loaded by lateral displacement at one end of the beam, which is suitable for practical use. The elastoplastic deflection beam theory does not provide a solution in a closed form for such a problem. Hence, a semi-analytical solution is proposed in this paper. Homogenous and isotropic beams with the bilinear elastoplastic strain hardening behaviour are covered in the proposed solution. The elastic deflection of a beam is determined by the Bernoulli–Euler formula. However, differential equation of beam bending in the plastic domain of material behaviour does not have a solution in a closed form. Therefore, an incremental procedure for determining the curvature of the plasticised region of the beam is suggested. The proposed semi-analytical solution is validated by comparing to the finite element analysis results of 16 different fixed-end beam models with varying geometric and material characteristics. Also, validation is done with experimental results of the bar damper device, available in the literature, which has been selected as a sample of a real engineering system where the proposed solution can be applied. A satisfying agreement between the proposed semi-analytical results and the subsequent numerical and experimental results is herein achieved, confirming the solution’s reliability. Finally, a parametric study is conducted using the proposed semi-analytical solution in order to determine the influence of geometrical parameters and material characteristics on the mechanical properties of prismatic fixed-end beams with circular cross-section loaded by lateral displacement at one end of the beam.

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Section: Introductionmentioning

confidence: 99%

Semi-analytical solution for elastoplastic deflection of prismatic fixed-end beams with circular cross-section

Zorić

Trajković-Milenković

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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Effective moment of inertia for rectangular elastoplastic beams

Faller¹,

Rosson²

1999

Structural Engineering and Mechanics

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Semi-Analytical Solution for Elastoplastic Deflection of Non-Prismatic Cantilever Beams with Circular Cross-Section

et al. 2022

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A solution for the elastoplastic deflection of cantilever beams with linearly variable circular cross-section loaded by shear force at the free end, which is suitable for practical use, has not yet been developed. A semi-analytical solution for such a problem is proposed in this paper. The solution involves beams made of homogenous and isotropic materials with bilinear elastoplastic strain hardening behavior. The Bernoulli–Euler formula is used for determining the elastic deflection. However, for the plastic domain of material behavior, the differential equation of beam bending does not have a solution in closed form. Therefore, an incremental procedure for determining the curvature of the plastified region of the beam is suggested. Deflection of the cantilever beam is calculated via integration of the approximated function of the beam curvature. The proposed semi-analytical solution is validated using experimental results of the seismic energy dissipation device components which have been selected as a sample of a real engineering system. Also, validation is done via finite element analysis of six different cantilever beam models with varying geometric and material characteristics. A satisfying agreement between the proposed semi-analytical results and the subsequent experimental and numerical results is herein achieved, confirming its reliability.

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Elastoplastic Deflections for Prismatic and Nonprismatic Beams

Cited by 3 publications

References 9 publications

Semi-analytical solution for elastoplastic deflection of prismatic fixed-end beams with circular cross-section

Semi-analytical solution for elastoplastic deflection of prismatic fixed-end beams with circular cross-section

Effective moment of inertia for rectangular elastoplastic beams

Semi-Analytical Solution for Elastoplastic Deflection of Non-Prismatic Cantilever Beams with Circular Cross-Section

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