Effects of flexural stiffness on constraints of imposed deformations in reinforced concrete structures

Berger, Johannes

doi:10.1016/j.engstruct.2022.114973

Cited by 7 publications

(3 citation statements)

References 8 publications

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“…The Tension Stiffening Effect 29,[33][34][35] (TSE) can be modeled indirectly by modifying the stress-strain curve of the concrete if the stress increase of the embedded rebar caused by the TSE for a given strain compared to a steel bar σ s,TSE , see Figure 7 is replaced by an equivalent concrete stress σ c,TSE . 37,38 This results in…”

Section: Concrete Under Tensile Stress-crackingmentioning

confidence: 99%

“…Tension stiffening data are given in terms of the cracking strain,

{\overset{ε}{true}}_{t}^{ck}

. When unloading data are available, the data are provided to Abaqus in terms of the tensile damage curves,

d_{t} - {\overset{ε}{true}}_{t}^{ck}

, and Abaqus automatically converts the cracking strain values to plastic strain values using the relationship in Equation ().

{\overset{ε}{true}}_{t}^{pl} = {\overset{ε}{true}}_{t}^{ck} - \frac{d_{t}}{((), 1 goodbreak- d_{t})} \frac{σ_{t}}{E_{0}}

The Tension Stiffening Effect 29,33–35 (TSE) can be modeled indirectly by modifying the stress–strain curve of the concrete if the stress increase of the embedded rebar caused by the TSE for a given strain compared to a steel bar σ s ,TSE , see Figure 7 is replaced by an equivalent concrete stress σ c ,TSE 37,38 . This results in

σ_{c, TSE} = ρ_{eff} ∙ σ_{s, TSE}

where ρ eff = A s / A c ,eff denotes the effective reinforcement ratio.…”

Section: Nonlinear Numerical Evaluationsmentioning

confidence: 99%

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Redistribution of internal forces from the span to the support

Berger

2022

Structural Concrete

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This paper presents the results of evaluations on the redistribution of internal forces from the span to the support area using nonlinear finite element calculations. The motivation is the internalization of bridges, particularly the reconstruction of single-span beams arranged in a row to a continuous beam system. When integralizing a bridge, it can be assumed that the existing bridge is designed according to standards, which are no longer valid. If the integralized bridge is loaded and designed according to the new standard, the problem may be that the existing structure has insufficient reinforcement. For singlespan bridges, the flexural reinforcement in the span may be considered critical.The degree of reinforcement in the support area can then be adjusted individually, which offers the possibility of transferring internal forces from the span to the support area if they cannot be fully absorbed by the existing reinforcement.

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Section: Concrete Under Tensile Stress-crackingmentioning

confidence: 99%

“…Tension stiffening data are given in terms of the cracking strain,

{\overset{ε}{true}}_{t}^{ck}

. When unloading data are available, the data are provided to Abaqus in terms of the tensile damage curves,

d_{t} - {\overset{ε}{true}}_{t}^{ck}

, and Abaqus automatically converts the cracking strain values to plastic strain values using the relationship in Equation ().

{\overset{ε}{true}}_{t}^{pl} = {\overset{ε}{true}}_{t}^{ck} - \frac{d_{t}}{((), 1 goodbreak- d_{t})} \frac{σ_{t}}{E_{0}}

σ_{c, TSE} = ρ_{eff} ∙ σ_{s, TSE}

where ρ eff = A s / A c ,eff denotes the effective reinforcement ratio.…”

Section: Nonlinear Numerical Evaluationsmentioning

confidence: 99%

Redistribution of internal forces from the span to the support

Berger

2022

Structural Concrete

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“…In the literature, this phenomenon is called elastic redistribution. [21][22][23][24][25] One reason for the lack of conversation on "elastic redistribution in precast prestressed beams made continuous" may be due to an assumption that during the normal service life of prestressed concrete bridges designed according to specifications, the cracking of the structure is minor. However, this assumption might not be accurate if the studied structure is used for another purpose than bridges, where the limited values for allowable crack widths of concrete are not that tight.…”

Section: Introductionmentioning

confidence: 99%

Experimental study of moment redistribution before yielding in precast prestressed concrete beams made continuous

Kytölä

Tulonen

Asp

et al. 2023

Structural Concrete

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The bending stiffness distribution of beams composed of simple‐span precast prestressed beams, which are made continuous by deck reinforcement at intermediate supports, is not constant. As the structure undergoes loading, the deck slab at the intermediate support cracks earlier than the prestressed span soffit and due to that the bending stiffness distribution changes along the beam length. The effect of nonconstant bending stiffness distribution on the moment redistribution of the structure before the yielding is studied experimentally and analytically. Two continuous beams with spans of 10 m + 10 m were manufactured, loaded to failure, and studied. It was concluded that the studied structure undergoes considerable moment redistribution before yielding although it would be designed for zero redistribution at the ultimate limit state. If this elastic redistribution is neglected in the structural analysis, the service limit state sagging moment at midspan may end up on the unconservative side. Elastic redistribution can be predicted quite accurately with the help of nonlinear analysis or roughly with simplified idealization as proposed in this article.

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