A new practical method for the flexural analysis of thin-walled symmetric cross-section box girders considering shear effect

Zhou, Maoding; Zhang, Yuanhai; Lin, Pengzhen; Zhang, Zhaobo

doi:10.1016/j.tws.2021.108710

Cited by 8 publications

(6 citation statements)

References 28 publications

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“…For calculating the shear stiffness calculation of fully diagonally cracked slender RC beams, Pan et al [8] suggested that the strut angle can be calculated by Equation (5). It accounts for the influence of the web and longitudinal reinforcement.…”

Section: Determination Of Strut Angle θ Umentioning

confidence: 99%

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Simplified Evaluation of Shear Stiffness Degradation of Diagonally Cracked Reinforced Concrete Beams

et al. 2023

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Shear cracking in concrete box-girder bridges, which could cause excessive deflection during the serviceability limit state, cannot be effectively avoided by code-guided design. While elastic shear deformation only accounts for a small proportion of total deformation for un-cracked reinforced concrete (RC) beams, the magnitude of after-cracking shear deformation becomes comparable to flexural deformation for RC beams. However, there is still a lack of practical models to predict the after-cracking shear deformation of RC beams. First, six thin-webbed I beams were tested to investigate the shear stiffness degradation mechanism and the decrease ratio. Then, a very simple truss strut angle formula, which is the crucial parameter for shear stiffness, was established. Furthermore, a stiffness degradation rule for partially cracked beams was proposed considering the influence of concrete tension stiffening, which is essential for predicting the development process of after-cracking shear deformation. Finally, directly measured shear strains were used to validate the proposed shear stiffness model. The results showed that the shear stiffness drops to about 30~40% of the original stiffness after the first diagonal crack, and the remaining shear stiffness is only about 10% of the original one when the stirrup yields. Increasing the stirrup ratio is a more effective method to control shear stiffness degradation for diagonally cracked RC beams. Also, the proposed shear stiffness model well captures the main features of the shear stiffness degradation, and it provides a relatively accurate prediction of the equivalent shear stiffness at the post-cracking stage.

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Section: Determination Of Strut Angle θ Umentioning

confidence: 99%

“…However, for long-span concrete box-girder bridges commonly used in bridge engineering, this assumption may cause deviations [ 4 ]. Especially for the thin-webbed box girder with diagonal cracking, its shear deformation may be equivalent to the bending deformation [ 5 ].…”

Section: Introductionmentioning

confidence: 99%

Simplified Evaluation of Shear Stiffness Degradation of Diagonally Cracked Reinforced Concrete Beams

et al. 2023

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“…Kim et al [18] derived the crosssectional shape functions of high-order deformation modes, which are used to analyze thin-walled beams composed of straight section edges. Zhou et al [19] put forward the analytical deflection theory considering the strain and displacement of each plate in a single-cell box girder. The shear deformation of box girder web and flange is considered under continuous deformation condition.…”

Section: Introductionmentioning

confidence: 99%

A one-dimensional high-order dynamic model for twin-cell box girders with deformable cross-section

Zhu,

Zhang,

Zeng

2024

J. vibroeng.

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A one-dimensional high-order dynamic model for single-box twin-cell box girders is presented together with the pattern recognition algorithm. The model takes into account the deformable cross-section and can accurately predict its 3D dynamic behaviors. The cross-section deformation is captured by basis functions satisfying displacement continuity condition, which is essential to construct the initial model formulation based on the Hamilton principle. The axial variation patterns of generalized coordinates are decoupled by solving the eigenvalue problem. On this basis, the combinations of basis functions are obtained to bring out cross-section deformation. The cross-section deformation, hierarchically organized and physically meaningful, are used to update the basis functions in the reconstructed high-order model. Numerical analysis has verified the accuracy and applicability of the reconstructed one-dimensional high-order model.

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“…In the literature, the theoretical methods for flexural analysis of thin-walled box girders mainly focus on the shear lag effect of the box girders, whereas research on flexural and shear deformation is lacking [23]. In particular, the theoretical correlation between the elementary beam theory and spatial mechanics analysis theory of box girders under the influence of shear deformation of each plate is limited.…”

Section: Introductionmentioning

confidence: 99%

Shear Lag Effect of Ultra-Wide Box Girder under Influence of Shear Deformation

Li,

Xie,

Wang

et al. 2024

Applied Sciences

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The objective of this study was to determine the reasonable flexural functions of ultra-wide box girders, reveal the mechanism of the shear lag effect, and improve the analysis theory of ultra-wide box girders. Considering a single-box three-chamber thin-walled box girder as an example, starting from an uneven transfer of shear flow, the flexural displacement function of the curved box girder under the influence of shear deformation of each plate was derived according to the flexural theory of a thin-walled box girder, balance equation of a thin-walled microelement plate, and theory of plane stress. The energy variational method was used to analyze the flexural displacement function, providing a theoretical solution for the shear lag effect of the curved box girder. A displacement correction of the cantilever plate displacement function was performed by comparing the calculation results for the shear lag coefficients. The results indicated that under the shear deformation of each plate, the flexural displacement functions of the wing and web plates of the box girder no longer satisfy the assumption of plane section. The flexural displacement function is a quadratic function of the transverse wing plate, and the web height is the sum of the first- and third-order functions. The theoretical calculation results agree sufficiently well with the experimental results, proving that the flexural displacement function of the box girder under the influence of the shear deformation of each plate is reliable.

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A new practical method for the flexural analysis of thin-walled symmetric cross-section box girders considering shear effect

Cited by 8 publications

References 28 publications

Simplified Evaluation of Shear Stiffness Degradation of Diagonally Cracked Reinforced Concrete Beams

Simplified Evaluation of Shear Stiffness Degradation of Diagonally Cracked Reinforced Concrete Beams

A one-dimensional high-order dynamic model for twin-cell box girders with deformable cross-section

Shear Lag Effect of Ultra-Wide Box Girder under Influence of Shear Deformation

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