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 -ϕ Diagrams for Reinforced, Partially, and Fully Prestressed Concrete Sections under Biaxial Bending and Axial Load

Rodriguez-Gutierrez, J. A.; Aristizábal-Ochoa, J. Darío

doi:10.1061/(asce)0733-9445(2001)127:7(763)

Cited by 16 publications

(2 citation statements)

References 12 publications

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“…In other words, since this approach does not enforce equilibrium for bending moments about each principal axis, spurious bending moments may be introduced and hence inaccuracy in representing in the same plane moment-curvature diagram of the cross-sections with arbitrary shape. The second approach is based upon the explicit solution of the non-linear equilibrium equations for axial force and each bending moment according to the classical Newton's scheme considering the strains as functions of the bending curvatures and axial strain (Rotter 1985;Rodriguez-Gutierrez, Dario Aristizabal-Ochoa 2001). Recently, Chiorean (2014) enhanced this approach by adopting Newton-Raphson iterative procedure in conjunction with the arc-length constrain equation controlling in this way the nonlinear solution both in forces and deformations and solving in this way the three coupled equilibrium equations.…”

Section: Introductionmentioning

confidence: 99%

A Computer Method for Moment-Curvature Analysis of Composite Steel-Concrete Cross-Sections of Arbitrary Shape

Chiorean

2017

Engineering Structures and Technologies

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This paper presents a new computer method for moment-curvature analysis of arbitrary-shaped composite steel-concrete cross-sections that are subjected to biaxial bending and axial force. The complete moment-curvature diagrams are determined such that axial force and bending moment ratio is kept constant. A strain-driven algorithm has been developed, the solution of the nonlinear equilibrium equations is controlled by the assumed strain values in the most compressed point and by solving just two coupled nonlinear equations. Such an approach may be used to assess accurately the main features of the elasto-plastic behaviour of composite cross-sections: multiple yielding points associated to different materials, flexural and axial rigidity, moment-curvature relationship in pre and post-critical domain and curvature ductility detecting also unloaded regions of the cross-sections that may occur even under monotonically increasing of the total bending moment. Since the Jacobian’s of the resulted nonlinear system of equations is always positive definite the convergence stability is not sensitive to the initial/starting values of the iterative process and to the strain softening exhibited by the concrete in compression. By using a path integral technique on boundary of cross-section area, gradual spread of plasticity and residual stress distribution assumed for encased steel elements are accurately considered reducing also the computational time significantly. In order to illustrate the proposed method and its accuracy and efficiency, a computer program has been developed and used to study several representative examples. The numerical studies presented and comparisons made prove the effectiveness and time saving of the proposed method of analysis.

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Section: Introductionmentioning

confidence: 99%

A Computer Method for Moment-Curvature Analysis of Composite Steel-Concrete Cross-Sections of Arbitrary Shape

Chiorean

2017

Engineering Structures and Technologies

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“…Manzelli et al [10] presented an equivalent linear approximation of the non-linear momentcurvature relationships for cross-sections of columns under shortterm loading. Biaxial bending momentaxial forcecur-vature diagrams taking into account long-term effects were presented by Rodriguez-Gutierrez et al [11] for reinforced, partially and fully prestressed concrete sections. Hsu [12] proposed a classification of analytical models used for line reinforced concrete members.…”

Section: Introductionmentioning

confidence: 99%

Long-Term Strength and Deformational Analysis of Reinforced Concrete Columns

Simbirkin

Balevičius

2004

Journal of Civil Engineering and Management

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The paper presents a method of non‐linear analysis of load‐carrying capacity and deformations of reinforced concrete columns subjected to long‐term loads. Physical relationships expressing non‐linear relations between internal forces and stresses, strains and stiffness are derived on the basis of the fracture and creep theories for concrete and using non‐linear stress‐strain diagrams modified for time effects. Second‐order geometrical effects are taken into account by solving a second‐order differential equation for elements subjected to compression and bending. A number of numerical and test results are presented. The technique proposed is verified by comparison of analysis results with extensive experimental data.

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A fast stress integration algorithm for reinforced concrete sections with axial loads and biaxial bending

Bonet

Romero

Sosa

et al. 2004

Computers & Structures

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M - P -ϕ Diagrams for Reinforced, Partially, and Fully Prestressed Concrete Sections under Biaxial Bending and Axial Load

Cited by 16 publications

References 12 publications

A Computer Method for Moment-Curvature Analysis of Composite Steel-Concrete Cross-Sections of Arbitrary Shape

A Computer Method for Moment-Curvature Analysis of Composite Steel-Concrete Cross-Sections of Arbitrary Shape

Long-Term Strength and Deformational Analysis of Reinforced Concrete Columns

A fast stress integration algorithm for reinforced concrete sections with axial loads and biaxial bending

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