Abstract
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 highlightsA 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.
Highlights
Steel frames are used widely in commercial buildings and pre-engineering buildings because of their significant advantages compared with reinforced concrete structures such as fastly construction, economical solution, sustainability, durability, eco-friendly product, etc
They used plastic hinge methods or distributed plasticity methods for predicting material inelasticity. They employed Hermite interpolation functions [1, 14,15,16,17], high-order interpolation functions [18], stability functions [2, 9, 12, 13, 19, 20], or corotational approach [21,22,23,24], in which stability functions is more efficient than other approaches since they use only one-element modeling for capturing second-order effects precisely
This study presents a new method named the fiber plastic hinge method for analyzing the nonlinear inelastic behavior of 2D steel frames, considering both the effects of residual stress and shear deformation
Summary
Steel frames are used widely in commercial buildings and pre-engineering buildings because of their significant advantages compared with reinforced concrete structures such as fastly construction, economical solution, sustainability, durability, eco-friendly product, etc. These plastic hinge method studies [8,9,10,11,12,13] considered indirectly residual stresses by using the CRC tangent modulus concept. Many studies developed a lot of nonlinear inelastic analysis methods for steel frames They used plastic hinge methods or distributed plasticity methods for predicting material inelasticity. This study will employ stability functions for developing a new method for analyzing the nonlinear inelastic behavior of steel frames. No researchers are discussing in detail the effects of residual stresses and shear deformation on the nonlinear inelastic behavior and strength of steel frames. This study presents a new method named the fiber plastic hinge method for analyzing the nonlinear inelastic behavior of 2D steel frames, considering both the effects of residual stress and shear deformation. Where S1 and S2 are stability functions found in the book of Chen và Lui [28]
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