Determination of stresses in RC eccentrically compressed members using optimization methods

Lechman, Marek; Stachurski, Andrzej

doi:10.1063/1.5019133

Cited by 3 publications

(3 citation statements)

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“…Ultimate bending moment M HRm determining the resistance of the considered BH beam is derived in terms of strains upon integrating the equilibrium equation of the bending moments about the horizontal axis of the RC core rectangle [ 28 ]. In this derivation, the reversed TT-welded profile is treated as the external reinforcement with respect to the RC rectangular core.…”

Section: Rc Rectangle Subjected To Bending Without Axial Forcementioning

confidence: 99%

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Cross-Sectional Analysis of the Resistance of RC Members Subjected to Bending with/without Axial Force

Lechman

2022

Materials

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This paper deals with the cross-sectional analysis of the resistance of RC members subjected to a bending moment with or without axial forces. To determine section resistance, the nonlinear material law for concrete in compression is assumed according to Eurocode 2, taking into account the effect of concrete softening. It adequately describes the concrete behavior of RC members up to failure. The idealized stress–strain relation for the reinforcing steel is assumed. For the ring cross-section subjected to bending with axial force and for areas weakened by an opening, normalized resistansces have been derived by integrating corresponding equilibrium equations. They are presented in the form of interaction curves and compared with the results of testing conducted on RC eccentrically loaded columns. Furthermore, the ultimate normalized bending moment has been derived for the RC rectangle subjected to bending without axial force. It was applied to the cross-sectional analysis of steel and concrete composite beams consisting of the RC rectangular core located inside a reversed TT-welded profile. Comparative analysis indicated good agreements between the proposed section models and experimental data. The objective of the paper is the dimensioning optimization of the considered cross-sections with the fulfillment of structural safety requirements.

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Section: Rc Rectangle Subjected To Bending Without Axial Forcementioning

confidence: 99%

“…In this case, the problem is described mathematically by a set of two equations that are highly nonlinear and difficult to be solved. Therefore, a numerical optimization strategy must be employed [ 28 ].…”

Section: Introductionmentioning

confidence: 99%

Cross-Sectional Analysis of the Resistance of RC Members Subjected to Bending with/without Axial Force

Lechman

2022

Materials

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“…The content of the current section is an extension of that presented in Lechman and Stachurski [32]. The detailed way of deriving the formulas for the section wholly in compression is included.…”

Section: Formulation Of the Equilibrium Equationsmentioning

confidence: 99%

Application of Global Optimization to Predict Strains in Rc Compressed Columns

Lechman

Stachurski

2021

Acta Polytech

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In this paper, the results of an application of global and local optimization methods to solve a problem of determination of strains in RC compressed structure members are presented. Solutions of appropriate sets of nonlinear equations in the presence of box constraints have to be found. The use of the least squares method leads to finding global solutions of optimization problems with box constraints. Numerical examples illustrate the effects of the loading value and the loading eccentricity on the strains in concrete and reinforcing steel in the a cross-section.Three different minimization methods were applied to compute them: trust region reflective, genetic algorithm tailored to problems with real double variables and particle swarm method. Numerical results on practical data are presented. In some cases, several solutions were found. Their existence has been detected by the local search with multistart, while the genetic and particle swarm methods failed to recognize their presence.

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Resistance of Short Concrete Elements to Off-Center Compression With Large Eccentrities

Donchenko

2022

Bulletin of Belgorod State Technological University Named After. V. G. Shukhov

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The paper considers the methodology of calculation of short concrete elements under eccentric compression with large eccentricities. The analysis of normative methods of calculation of eccentrically-compressed elements has been carried out and the reasons of discrepancy of calculated values with experimental ones for concretes of class B15-B60 have been established. The equations of equilibrium conditions, deformations, physical laws and geometrical relations developed by the author on the basis of the results analysis of numerous experimental laboratory researches of concrete and reinforced concrete elements under central and eccentric compression and bending are presented. The numerical investigation of the bearing capacity of eccentrically compressed elements with large eccentricities (from 0.167 to 0.45h) and of concrete strength from B15 to B60 MPa has been made in comparison with the data of other researches and with the normative procedure. The results showed that the bearing capacity of the majority of calculated elements compared to the normative method turned out to be 20-25 % higher, and transverse stiffness by 30-35 %. It has been established that the developed solution gives qualitatively more correct and quantitatively more exact results in the whole range of eccentricities and concrete strength than those obtained by means of normative literature, realizing a differentiated approach to different concrete strengths. The analytical dependences of the developed method, obtained in closed form, can be recommended for use in design practice.

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Determination of stresses in RC eccentrically compressed members using optimization methods

Cited by 3 publications

References 9 publications

Cross-Sectional Analysis of the Resistance of RC Members Subjected to Bending with/without Axial Force

Cross-Sectional Analysis of the Resistance of RC Members Subjected to Bending with/without Axial Force

Application of Global Optimization to Predict Strains in Rc Compressed Columns

Resistance of Short Concrete Elements to Off-Center Compression With Large Eccentrities

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