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Effect of beam and column dimensions on the behavior of RC beam-column joints

Abstract

In the current study, the influence of beam and column dimensions on the seismic response of joints is numerically evaluated by changing beam and column dimensions in ABAQUS. Three wide column-beam joints were modeled and verified using the experimental studies available in the literature. Dimensions of verified models were then changed to evaluate the effect of element dimensions on the parameters including ultimate moment, ultimate shear and ultimate rotation. Variable parameters were the ratio of column width to beam width, Cw/Bw, the ratio of beam width to beam height, Bw/Bh, and ρ of column. It was concluded that by decreasing the ratio of Cw/Bw, both of ultimate moment and ultimate shear decreased. Additionally, by increasing the ratio of Bw/Bh, both of the ultimate moment and ultimate shear fluctuated. Moreover, by increasing ρcolumn, ultimate moment fluctuated, whilst ultimate shear increased. It was also indicated that by changing the variable parameters, ultimate curvature fluctuated.

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Abbreviations

As :

Area of compressive reinforcement

A g :

Gross area of element section

A j :

Effective cross-sectional area within a joint

A s :

Area of longitudinal tension reinforcement bar

A si :

Tension reinforcement area of beams

A sv :

Area of shear reinforcement within spacing S

B h :

Beam height

B w :

Beam width

C c :

Compression force acting on concrete

C h :

Column height

C s :

Compression force acting on reinforcement bars

C w :

Column width

d′:

Distance from extreme compression fiber to centroid of longitudinal compression reinforcement

\(D_{0}^{{{\text{el}}}}\) :

Initial (undamaged) elastic stiffness of the material

D el :

Degraded elastic stiffness

E c :

Concrete initial modulus of elasticity

fc :

Concrete compressive strength

ft :

Concrete tensile strength

f u :

Ultimate strength of reinforcement bars

f y :

Yield strength of reinforcement bars

f yv :

Yield strength of shear reinforcement bars

k c :

The ratio of the hydrostatic effective stress in tensile meridian to that one of the compressive meridians

M r,beam :

Resistant moment of beam

M r,col :

Resistant moment of column

M u :

Maximum moment in the joint due to applied loads

S :

Center-to-center spacing of transverse reinforcement bars

T :

Tension force acting on reinforcement bars

V c :

Nominal shear strength provided by concrete

V r :

Resistant shear

V s :

Nominal shear strength provided by shear reinforcement bars

V u :

The ultimate shear in the joint

V u,col :

Ultimate shear of column

\(\tilde{\varepsilon }_{c}^{pl}\) :

Equivalent plastic strain in compression

\(\dot{\varepsilon }^{{{\text{el}}}}\) :

Elastic part of the strain rate

\(\dot{\varepsilon }^{{{\text{pl}}}}\) :

Plastic part of the strain rate

\(\tilde{\varepsilon }_{t}^{{{\text{pl}}}}\) :

Equivalent plastic strain in tension

\(\overline{\sigma }_{c} \left( {\tilde{\varepsilon }_{c}^{{{\text{pl}}}} } \right)\) :

Effective cohesion stress in compression

\(\overline{\sigma }_{\max }\) :

Algebraically maximum eigenvalue of tensor \({\tilde{\sigma }}_{c}\)

\(\overline{\sigma }_{t} \left( {\tilde{\varepsilon }_{t}^{{{\text{pl}}}} } \right)\) :

Effective cohesion stress in tension

\(\overline{p}\) :

Effective hydrostatic pressure

\(\overline{q}\) :

Equivalent Von Mises stress

\(\dot{\varepsilon }\) :

Total strain rate

\(\varepsilon_{u\prime }\) :

Ultimate strain of reinforcement bars

\(\varepsilon_{y\prime }\) :

Yield strain of reinforcement bars

\(\eta_{c}\) :

A coefficient related to the material constant

\(\lambda_{c}\) :

Refers to the constant crushing energy as a material property

\(\sigma_{b0}\) :

Biaxial compressive yield stress

\(\sigma_{c0}\) :

Uniaxial compressive yield stress

Ф c :

Strength reduction factor for concrete and is considered 0.6

Ф s :

Strength reduction of reinforcement bars

\(\Sigma M_{nb}\) :

Sum of nominal flexural strength of beams framing into the joint

\(\Sigma M_{nc}\) :

Sum of nominal flexural strength of columns framing into the joint

α, β, γ :

Dimensionless material constant

β′:

Reduction factor which is considered 0.85

ζ :

Flow eccentricity

θ :

Joint rotation

λ :

0.75 For lightweight concrete and 1.0 for normal-weight concrete

ψ :

Dilation angle

ρ col :

Ratio of As/bd

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Contributions

AK: methodology, data curation, software. HD: conceptualization, data curation, methodology, software, formal analysis, writing-original draft. AK: supervision, writing-review and editing.

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Correspondence to Hamed Dabiri.

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Kaviani, A., Dabiri, H. & Kheyroddin, A. Effect of beam and column dimensions on the behavior of RC beam-column joints. Asian J Civ Eng 22, 941–958 (2021). https://doi.org/10.1007/s42107-021-00356-1

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Keywords

  • CDP model
  • RC beam-column joints
  • Size effect
  • Aspect ratio
  • Ultimate moment
  • Ultimate shear
  • Ultimate rotation