Biaxial bending with axial force of reinforced, composite and repaired concrete sections of arbitrary shape by fiber model and computer graphics

Sfakianakis, Manolis G.

doi:10.1016/s0965-9978(02)00002-9

Cited by 75 publications

(55 citation statements)

References 13 publications

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“…This method, dealing with biaxial bending combined with an axial force, is described in detail in the Works of Zupan, Saje (2005) and Charif et al (2012). It performs better than the various numerical integration techniques such as those described by Sfakianakis (1999), Bonet et al (2006) and Charalampakis, Koumousis (2008). The main steps are summarized here.…”

Section: Analytical Moment-curvature Relationshipmentioning

confidence: 99%

Ductility of reinforced lightweight concrete beams and columns

Charif

Shannag

Dghaither

2014

Lat. Am. j. solids struct.

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This paper presents analytical and experimental results on ductility of reinforced lightweight concrete beams and columns in the form of moment curvature relationships, and compares the response with that of normal reinforced concrete members. The experimental part is limited to flexural tests on beams made of lightweight concrete. The latter is obtained with natural lightweight aggregates. Concrete and steel stress-strain models in compression and tension are integrated analytically through the section in order to derive the resulting moment and axial force. Lightweight concrete beams and columns showed a more ductile behavior than normal concrete members and the analytical model reproduced the response with very good accuracy. The lightweight ductility was more pronounced in columns subjected to axial compression forces and bending.

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Section: Analytical Moment-curvature Relationshipmentioning

confidence: 99%

Ductility of reinforced lightweight concrete beams and columns

Charif

Shannag

Dghaither

2014

Lat. Am. j. solids struct.

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“…The position of the PC section is obtained by the following expression [20]: on the ordinate axis in relation to a reference system; and f cd , f yd and f ybd are the compressed concrete, steel and reinforcing bars strength, respectively. Figure 5 illustrates the distribution of strains in the composite section from a combination of axial force and bending moment.…”

Section: Moment-curvature Relationshipmentioning

confidence: 99%

Numerical analysis of nonlinear behavior of steel-concrete composite structures

Lemes

Silva

Silveira

et al. 2017

Rev. IBRACON Estrut. Mater.

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ResumoThis paper presents the development of an effective numerical formulation for analysis of steel concrete composite structures considering geometric and materials nonlinear effects. Thus, a methodology based on Refined Plastic Hinge Method (RPHM) was developed and the stiffness parameters obtained by homogenization of cross section. The evaluation of structural elements strength is done through the Strain Compatibility Method (SCM). The Newton-Raphson method with path-following strategies is adopted to solve nonlinear global and local (in cross section level) equations. The results are compared with experimental and numerical database presents in literature and a good accuracy is observed in composite cross section, columns and portal frames.Keywords: nonlinear analysis, RPHM, interaction curves, SCM, moment-curvature relationship.O presente trabalho apresenta o desenvolvimento de uma formulação numérica adequada para análise de estruturas mistas de aço e concreto considerando os efeitos da não linearidade geométrica e da inelasticidade dos materiais. Para tal, foi desenvolvida uma metodologia baseada no Método da Rótula Plástica Refinado (MRPR), sendo os coeficientes de rigidez obtidos por meio da homogeneização da seção transversal. A avaliação da capacidade resistente dos elementos estruturais é feita no contexto do Método da Compatibilidade de Deformações (MCD). Os problemas oriundos da consideração das fontes de não linearidade (global e local) são resolvidos por meio do método iterativo de Newton--Raphson acoplado a estratégias de continuação. Os resultados obtidos são comparados com aqueles fornecidos em análises experimentais e/ ou numéricas presentes na literatura, sendo verificada boa precisão nas análises de seções transversais mistas, pilares isolados mistos e pórticos simples mistos.Palavras-chave: análise não linear, MRPR, curvas de interação, MCD, relação momento-curvatura.

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“…In recent years, some methods have been presented for the ultimate strength analysis of various concrete and composite steel-concrete sections such as rectangular, L and T -shape, polygonal and circular under biaxial moments and axial loads [1][2][3][4][5]. Among several existing techniques, two are the most common; the first consists of a direct generation of points of the failure surface by varying the position and inclination of the neutral axis and imposing a strain distribution corresponding to a failure condition.…”

Section: Introductionmentioning

confidence: 99%

“…These methods can be further distinguished by how they plot the interaction curves. These curves may be computed, indirectly, by explicit computation of the moment-curvature response and the failure of the cross-section corresponds to the top of the moment-curvature diagram when any of the materials reaches its predefined maximum allowable strain [3,5]. This method can be used under any loading mode, but is rather time-consuming and the basic equations of equilibrium are not always satisfied [3].…”

Section: Introductionmentioning

confidence: 99%

“…These curves may be computed, indirectly, by explicit computation of the moment-curvature response and the failure of the cross-section corresponds to the top of the moment-curvature diagram when any of the materials reaches its predefined maximum allowable strain [3,5]. This method can be used under any loading mode, but is rather time-consuming and the basic equations of equilibrium are not always satisfied [3]. On the other hand, to determine directly the interaction diagrams or load contours, the exact location of the neutral axis may be determined by solving three coupled nonlinear system of equations by an iterative approach [1,2,4].…”

Section: Introductionmentioning

confidence: 99%

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A fast incremental-iterative procedure for ultimate strength analysis of composite cross-sections of arbitrary shape

Chiorean¹

2011

Computational Methods and Experimental Measurements XV

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A new computer method for bi-axial ultimate strength analysis of composite steel-concrete cross-sections of arbitrary shape subjected to axial force and biaxial bending moments is developed. An incremental-iterative procedure based on arc-length approach is proposed in order to determine, in a unitary formulation, both interaction diagrams and moment capacity contours, overcoming the difficulties and inaccuracies of the previously published methods. This procedure adopts a tangent stiffness strategy for the solution of the non-linear equilibrium equations thus resulting in a high rate and unconditionally convergence. An object oriented computer program, to obtain the ultimate strength of composite cross-sections under combined biaxial bending and axial load was developed. Examples run and comparisons made have proved the effectiveness and time saving of the proposed method of analysis.

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Biaxial bending with axial force of reinforced, composite and repaired concrete sections of arbitrary shape by fiber model and computer graphics

Cited by 75 publications

References 13 publications

Ductility of reinforced lightweight concrete beams and columns

Ductility of reinforced lightweight concrete beams and columns

Numerical analysis of nonlinear behavior of steel-concrete composite structures

A fast incremental-iterative procedure for ultimate strength analysis of composite cross-sections of arbitrary shape

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