Quasi‐Newton Method for Reinforced‐Concrete Column Analysis and Design

Yen, Jia Yih

doi:10.1061/(asce)0733-9445(1991)117:3(657)

Cited by 41 publications

(22 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…1). It is also frequently assumed that plane sections remain plane, that the tensile strength of concrete is negligible [2][3][4] and that the concrete stress distribution can be represented by a rectangular stress-block [5,6]. From these assumptions, the derivation of an interaction diagram is relatively simple.…”

Section: Interaction Diagrams For Ambient Temperature Designmentioning

confidence: 99%

“…Assumptions made in this implementation are: plane sections remain plane; the concrete compressive stress-strain behaviour is as given in Eurocode 2 [21]; the tensile strength of concrete is zero; the stress-strain relationship of steel is elasto-plastic; and there is no bond slip between steel and concrete. Each of these assumptions has been made in various combinations by other authors [2,9,22]. They result in a marginally conservative estimate of strength (with the exception of bond slip).…”

Section: Ambient Temperaturementioning

confidence: 99%

See 1 more Smart Citation

Interaction diagrams for ambient and heated concrete sections

Law¹,

Gillie²

2010

Engineering Structures

View full text Add to dashboard Cite

a b s t r a c tBending moment axial force interaction diagrams are a commonly used tool in any design office. When designing for fire conditions, the large axial forces which develop place an additional importance on the consideration of the interplay between axial forces and moments. This paper presents a new method for calculating the biaxial bending moment/axial force capacity for a general section through the use of the sectional tangent stiffness. A beam-column section subject to fire is assessed, and comparisons made with simplified design tools. It is concluded that derivation of the interaction surface from the tangent stiffness matrix is possible, and that current simplified methods for fire design cannot be assumed conservative.

show abstract

Section: Interaction Diagrams For Ambient Temperature Designmentioning

confidence: 99%

Section: Ambient Temperaturementioning

confidence: 99%

Interaction diagrams for ambient and heated concrete sections

Law¹,

Gillie²

2010

Engineering Structures

View full text Add to dashboard Cite

show abstract

“…Santathadaporn and Chen [28] investigated the strength limit states of rectangular and wide-flange H-sections under combined biaxial flexure and axial load, and proposed the interaction equations based on an analytical method to evaluate the lower and upper bounds of ultimate strength for these two sections. Yen [29] presented a quasi-Newton iterative approach applicable in computer application for analysis and design of reinforced-concrete cross-sections subjected to uniaxial or biaxial forces. Yau et al [30] proposed a numerical method for analyzing arbitrarily shaped reinforced-concrete cross-sections under biaxial bending.…”

Section: Introductionmentioning

confidence: 99%

Direct analysis for high-strength steel frames with explicit-model of residual stresses

Liu

Chan

2015

Engineering Structures

View full text Add to dashboard Cite

“…The present work sets out an iterative procedure, an alternative to the well-known quasi-Newton method proposed by Yen [6], in order to get the section stiffness modulus E·I, from which the bar stiffness is deduced. The procedure, developed for a general loading case (axial force and two biaxial bending moments) and which takes into consideration nonlinear constituent equations of materials, it locates the equilibrium position of the section from the bisection method.…”

Section: Introductionmentioning

confidence: 99%

Method for Evaluating the Flexural Stiffness Bar of Reinforced Concrete Structures

Fenollosa

Alonso-Durá

Llopis

2013

AMM

View full text Add to dashboard Cite

Abstract. The structural design methods development nowadays allows including the effects of geometric and mechanical nonlinearity of the materials in the analysis itself. The resolution through matrixes methods frequently involves an incremental treatment for load application and a tangent stiffness matrix that bears in mind the nonlinearity. The present paper shows a procedure to evaluate the bar stiffness considering mechanical nonlinearity of materials. For structures of reinforced concrete formed by two materials where each of them has a resistant behavior so different from the other, its appropriated evaluation is, at the same time, necessary and especially complex. The iterative process exposed here provides the equilibrium position of the section to the general case of axial force and biaxial bending taking into account the nonlinear constituent relationships of materials. Once the equilibrium is reached, the relationship between the biaxial moment and the curvature allows the section stiffness module to be derived, from which the bar stiffness will be determined. As an application of the exposed procedure, the iterative process of the equilibrium research in a section of reinforced concrete is showed. At the moment-curvature diagram can be observed the stiffness progressive decreasing as biaxial bending moments are increasing, because of materials nonlinearity stresses and strains and the section inertia reduction produced by concrete cracking.

show abstract

Quasi‐Newton Method for Reinforced‐Concrete Column Analysis and Design

Cited by 41 publications

References 1 publication

Interaction diagrams for ambient and heated concrete sections

Interaction diagrams for ambient and heated concrete sections

Direct analysis for high-strength steel frames with explicit-model of residual stresses

Method for Evaluating the Flexural Stiffness Bar of Reinforced Concrete Structures

Contact Info

Product

Resources

About