Truss-Arch Model for Shear Strength of Shear-Critical Reinforced Concrete Columns

Pan, Zuanfeng; Li, Bing

doi:10.1061/(asce)st.1943-541x.0000677

Cited by 73 publications

(51 citation statements)

References 12 publications

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“… β is a parameter, which can be obtained by Bentz et al

β = \frac{0.40}{1 + 1, 500 ε_{x}} \times \frac{1300}{1, 000 + s_{ze}},

where s ze is the effective crack spacing. As for concrete members with web steel, the effective crack spacing is assumed to be less than 300 mm, and s ze can be taken as 300 mm for convenient calculation . In order to make the MCFT easy for engineering design, Collins et al proposed the simplified MCFT method for shear strength of concrete structures, and the vertical strain at the middle of section ε x can be expressed as Equation .…”

Section: Shear Strength Of Reinforced Concrete Walls Failed In Shearmentioning

confidence: 99%

“…In conclusion, θ cr is taken as 45 o when the shear span ratios of shear walls are greater than 1, and it is taken as tan −1 ( h w / H w ) if the shear span ratios of RC walls are smaller than 1, so θ cr can be expressed as follows:

θ_{cr} = ({, \begin{array}{l} 45^{o} h_{w} / H_{w} \leq 1 \\ ta n^{‐ 1} ((), h_{w} / H_{w}) h_{w} / H_{w} > 1 \end{array}),

where h w is the height of cross sections. Equations and are substituted into Equation , a quadratic equation for V c can be obtained by Pan and Li

((), \frac{1500 H_{w}}{ξ_{1} d_{v}} + 750 cot θ_{cr}) V_{c}^{2} + ((), 1500 ([], \frac{V_{s} H_{w}}{ξ_{1} d_{v}} - 0.5 P + 0.5 V_{s} cot θ_{cr}) + 2 E_{s} A_{s}) V_{c} = 0.8 E_{s} A_{s} t_{w} d_{v} \sqrt{f_{c}^{'}} .

…”

Section: Shear Strength Of Reinforced Concrete Walls Failed In Shearmentioning

confidence: 99%

“…Priestley et al put forward that the shear strength provided by the arch was mainly related to the axial load and size of RC columns, which can be obtained by V a = N tan α , which is developed by Krolicki et al to obtain the shear strength provided by the arch of RC walls. However, neither of the methods considered the shear deformation coordination between the truss and arch . Both the truss and arch exist in RC walls, and under the shear force, the truss and arch will have the same shear deformation to resist the shear force.…”

Section: Shear Strength Of Reinforced Concrete Walls Failed In Shearmentioning

confidence: 99%

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Shear strength prediction of reinforced concrete walls

Cao

et al. 2019

Structural Design Tall Build

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Summary Most of existing codes ignore the effect of arch action on shear strength of reinforced concrete (RC) walls, and it leads to more conservative results. A new model considering the influence of the truss and arch on shear strength of RC walls is proposed in this paper. The shear strength provided by the truss is obtained by the modified compression field theory, and the shear strength provided by the arch is obtained by the shear deformation coordination between the truss and arch, which has an upper bound value. Experimental data of 78 RC walls failed in shear are collected to evaluate the adequacy of the proposed method by comparing with the models of Hwang and Lee, Wood, ACI 318‐11，, EC8, MCBC‐04, and JGJ 3‐2010, respectively. The results show that the average value and coefficient of variation of the experimental‐to‐calculated strength ratios obtained by the proposed model are 1.01 and 0.23, which shows better accuracy and reliability. Therefore, the proposed model can predict the shear strength of RC walls failed in shear accurately.

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“… β is a parameter, which can be obtained by Bentz et al

β = \frac{0.40}{1 + 1, 500 ε_{x}} \times \frac{1300}{1, 000 + s_{ze}},

Section: Shear Strength Of Reinforced Concrete Walls Failed In Shearmentioning

confidence: 99%

θ_{cr} = ({, \begin{array}{l} 45^{o} h_{w} / H_{w} \leq 1 \\ ta n^{‐ 1} ((), h_{w} / H_{w}) h_{w} / H_{w} > 1 \end{array}),

where h w is the height of cross sections. Equations and are substituted into Equation , a quadratic equation for V c can be obtained by Pan and Li

((), \frac{1500 H_{w}}{ξ_{1} d_{v}} + 750 cot θ_{cr}) V_{c}^{2} + ((), 1500 ([], \frac{V_{s} H_{w}}{ξ_{1} d_{v}} - 0.5 P + 0.5 V_{s} cot θ_{cr}) + 2 E_{s} A_{s}) V_{c} = 0.8 E_{s} A_{s} t_{w} d_{v} \sqrt{f_{c}^{'}} .

…”

Section: Shear Strength Of Reinforced Concrete Walls Failed In Shearmentioning

confidence: 99%

Section: Shear Strength Of Reinforced Concrete Walls Failed In Shearmentioning

confidence: 99%

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Shear strength prediction of reinforced concrete walls

Cao

et al. 2019

Structural Design Tall Build

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show abstract

“…The shear stiffness of the arch model (Pan and Li 2013) can be calculated with the following equation:…”

Section: Shear Stiffness Of Arch Componentmentioning

confidence: 99%

“…On the basis of the experimentally measured steel stresses over the shear span in the RC beams, Kim et al (1998) proposed an empirical coefficient, which represents arch action contribution to the total shear capacity. Pan et al (Pan and Li 2013;Jin and Pan 2015) proposed a new type of truss-arch model with the consideration of the deformation compatibility for both truss model and arch action, and the proposed model was verified by the shear-critical RC column tests.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and Experimental Study of Effective Shear Stiffness of Reinforced ECC Columns

Pan

Kim

et al. 2017

Int J Concr Struct Mater

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Engineered cementitious composites (ECC) possesses characteristics that make it suitable in the zones of high shear and ductility demand of structural elements; however, there is a lack of an adequate model to predict its shear stiffness. A theoretical model for the effective shear stiffness of reinforced ECC (RECC) columns is proposed on the basis of the truss-arch model, with the consideration of the unique property of ECC material. A total of six column specimens subjected to cyclic reverse loading are conducted, and the main test variables include the shear span-to-depth ratio, the transverse reinforcement ratio and the axial load ratio. Results show that the shear contribution to the total deflection in the diagonally cracked RECC beam is significant, and the proposed theoretical model can predict the shear deformation with reasonable accuracy.

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Shear design and life cycle assessment of novel limestone calcined clay cement reinforced concrete beams

Huang

Deng

Zhao

et al. 2023

Structural Concrete

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To reduce the impact on global warming, many countries and regions are advocating the use of low‐carbon and green supplementary cementitious materials (SCMs) to improve the cement industry. This study investigates the shear behavior of reinforced concrete (RC) beams made with a novel green concrete, limestone, calcined clay, and cement clinker (LC3). Full‐scale shear tests were conducted on RC and LC3‐RC beams to evaluate their fundamental behavior for structural applications. The shear resistance of LC3 concrete beams was evaluated using Chinese, American, and Eurocode codes, while carbon emission and environmental impact were analyzed by life cycle assessment (LCA). Results showed that LC3‐RC and RC beams exhibited similar shear behavior in terms of crack initiation, propagation, and development. The increase in concrete strength improved the stiffness of LC3‐RC specimens, while RC specimens remained unchanged. The ductility of RC specimens was inversely proportional to concrete strength, while LC3‐RC beams exhibited optimal ductility. The increase in stirrup ratio significantly improved the shear resistance of both LC3‐RC and RC beams. With increased shear‐span ratio, the failure mode of LC3 specimens improved, changing from diagonal‐compression to shear compression or diagonal tension failure. The shear resistance of both LC3‐RC and RC beams was underestimated by GB 50010‐2010, ACI 318‐19, and Eurocode 2. LC3 concrete significantly reduced energy consumption and carbon emissions and achieved favorable environmental benefits in terms of GWP, PMFP, POFP, TAP, and TETP. Increasing usage of limestone in LC3 may further decrease environmental potential without sacrificing mechanical properties. The findings of this study contribute to the development of sustainable and environmentally friendly structures in engineering.

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Truss-Arch Model for Shear Strength of Shear-Critical Reinforced Concrete Columns

Cited by 73 publications

References 12 publications

Shear strength prediction of reinforced concrete walls

Shear strength prediction of reinforced concrete walls

Theoretical and Experimental Study of Effective Shear Stiffness of Reinforced ECC Columns

Shear design and life cycle assessment of novel limestone calcined clay cement reinforced concrete beams

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