Formulation for second-order inelastic analysis of steel frames including shear deformation effect

Silva, Renata Gomes Lanna da; Lavall, Armando Cesar Campos; Costa, Rosane Dias; Viana, Harley Francisco

doi:10.1016/j.jcsr.2018.09.011

Cited by 12 publications

(8 citation statements)

References 21 publications

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“…This feature is essential because the regions near a connection are highly exposed to plastic behaviour. This type of response is often simplified in frame analysis using spring stiffness's [83,84]. Furthermore, research is needed to include both buckling and multi-linear elasticplastic analysis in this mode-based formulation.…”

Section: Discussionmentioning

confidence: 99%

Modelling of steel frames using advanced beam and joint elements with interfaces governed by beam modes

Hansen

Jönsson

2019

Thin-Walled Structures

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For decades, engineers have assessed and analysed steel frames using simple joints between beams and columns. These joints are often based on oversimplified assumptions using hinges or a direct transfer of beam displacements without any relative displacements. More seldom is the use of spring models that allow relative beam and column displacements at the joints. This despite the standardised component method approach, which can be used to determine the rotational spring stiffness of the relative rotation in a joint. This paper gives a background overview of essential developments in joint modelling and generalised thin-walled beam modelling, including torsional, distortional and related warping effects. For particular situations, some recent proposals for joint models can be applied to joints between thin-walled beams. On this basis, this paper presents a novel idea and a generic methodology that allows the interface between an extended number of generalised beam displacement modes and joints that are modelled using shell elements. The main novelty is the idea to transform from standard degrees of freedom of the interface into a reduced number of beam displacement mode related degrees of freedom. Thus, the number of degrees of freedom of the joint can be reduced to the corresponding total sum of beam modes that have been chosen for the modelling of each of the connected beam elements. The total number of degrees of freedom used for modelling the complete framework will depend on the selected number of modes in each beam element and on the number of extra internal modes chosen in the joint models. For enhanced structural analysis with advanced beam elements and joints that allow relevant distortions and built-in refined connection components, it is believed that this methodology will enable the full detailed analysis of large steel frameworks with a reasonable number of degrees of freedom.

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Section: Discussionmentioning

confidence: 99%

Modelling of steel frames using advanced beam and joint elements with interfaces governed by beam modes

Hansen

Jönsson

2019

Thin-Walled Structures

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“…Usually, displacements and strains are assumed to be small in the structural analysis. This means that the geometrical characteristics of the structure do not vary during loading, known as the first-order effect (Silva et al, 2018;Viana et al, 2020). However, large displacements and strains can occur when buildings are under large wind loadings and due to the effect of unfavorable soil-structure interactions.…”

Section: Introductionmentioning

confidence: 99%

“…However, large displacements and strains can occur when buildings are under large wind loadings and due to the effect of unfavorable soil-structure interactions. In this case, the inter-story drift maybe large and originate additional forces and moments in the structure (Saha et al, 2020;Silva et al, 2018), produced by the second-order effects. Some studies have revealed the existence of several models of SSI, and the most adopted by the authors has been the Winkler spring model.…”

Section: Introductionmentioning

confidence: 99%

Influence of soil-structure interaction modeling on the behavior of multi-story plane steel frames with shallow footing foundations

Siqueira

Almeida

Silva

et al. 2023

RSD

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Traditionally, structural analysis is based on the hypothesis that supports are indeslocable due to simplicity. However, the conventional design in which settlements of foundation elements are disregarded can lead to physical results that are incompatible with reality. This work aims to analyze the influence of the consideration of soil-structure interaction (SSI) on the responses of steel structural elements obtained by a static second order analysis. Furthermore, it is evaluated the responses obtained by different types of procedures for the consideration of soil stiffness in the structural analysis. Solid elements considering linearly elastic material parameters and spring elements based on the Winkler theory are employed. The analyses were performed with the commercial software SAP2000. Plane steel frames models were analyzed, either considering conventional supports or taking into account the soil-structure interaction. Shallow footing foundations are considered. Three frames with the same characteristics, but with a different number of floors were analyzed, showing the influence of the height increase and the building stiffness on the SSI results. It has been shown that the consideration of the effects of soil-structure interaction on structural analysis of buildings can have a significant influence on the stress distribution, displacements and structural behavior. In addition, it is concluded that the structural capacity of steel frames can be affected by the type of support adopted and by changes on the way the model considers soil deformation.

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“…For hot-rolling steel, residual stresses are born in manufacturing procedures. Many researchers [1][2][3][4][5][6] employed the ECCS residual stress pattern [7], as shown in Fig. 2, for analyzing steel frames using W-sections.…”

Section: Introductionmentioning

confidence: 99%

“…So this study will employ stability functions for developing a new method for analyzing the nonlinear inelastic behavior of steel frames. Recently, da Silva et al [4] consider shear deformation using Timoshenko's beam theory in the nonlinear inelastic analysis of steel frames. Moreover, no researchers are discussing in detail the effects of residual stresses and shear deformation on the nonlinear inelastic behavior and strength of steel frames.…”

Section: Introductionmentioning

confidence: 99%

Impacts of residual stress and shear deformation on 2D steel frames using fiber plastic hinge element: nonlinear behavior and strength

Nguyen

Tran

2021

SN Appl. Sci.

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In this study, impacts of residual stress and shear deformation are investigated on 2D steel frames using a new fiber plastic hinge method. Geometry and material nonlinearities, residual stress, shear deformation, imperfections are considered simultaneously in the nonlinear analysis. The proposed method is efficient in computational efforts since the one-element modeling is used for the nonlinear analysis by employing stability functions for capturing the P-small delta phenomenon. The P-large delta phenomenon is considered using the geometric stiffness matrix. Plastic hinges are assumed to be formed at two ends of members. Cross-sections at two ends of members are divided into many fibers. The ECCS residual stress pattern is assigned directly through fibers as initial stress conditions. A finite element program is coded using the Fortran programming language for predicting the nonlinear behavior and ultimate strength of planar steel frames. The behavior and load-carrying capacity of steel frames are predicted precisely and efficiently using the nonlinear inelastic analysis. A case study of a large-scale planar steel frame is investigated for the frame's behavior and strength under the effects of residual stresses and shear deformation. Through numerical examples, we recommend that both residual stress and shear deformation should be considered in the advanced direct analysis and design procedures for steel-framed structures. Article highlights• A nonlinear 2D beam column element is developed successfully using onlyone element per member for modeling. • Geometric nonlinearities, material plasticity, residual stress, and sheardeformation are investigated simultaneously.• Both residual stress and shear deformation should be considered in the engineering design of steel frames.

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Formulation for second-order inelastic analysis of steel frames including shear deformation effect

Cited by 12 publications

References 21 publications

Modelling of steel frames using advanced beam and joint elements with interfaces governed by beam modes

Modelling of steel frames using advanced beam and joint elements with interfaces governed by beam modes

Influence of soil-structure interaction modeling on the behavior of multi-story plane steel frames with shallow footing foundations

Impacts of residual stress and shear deformation on 2D steel frames using fiber plastic hinge element: nonlinear behavior and strength

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