Abstract
Damage observed in existing structures after recent earthquake events pointed out the key importance of beam-to-column joints in influencing the global response of reinforced concrete structures. In the last two decades several theoretical and empirical models have been proposed for evaluating shear strength of beam-to-column joints. The present paper reports an overview of the models currently available in the scientific literature for evaluating shear capacity of exterior beam-to-column joints. The present study is the first step of a wide analysis aimed at assessing such models and improving them. Moreover, the uncertainties deriving by applying the mentioned models will be also quantified therein, by means of well-established procedures for probabilistic seismic analysis of structures. The final results of that study are reported within a companion paper.
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Abbreviations
- A c :
-
Cross-sectional area of column
- A g :
-
Cross-sectional area of joint
- A sb,inf :
-
Bottom flexural reinforcement in the beam
- A sb,sup :
-
Top flexural reinforcement in the beam
- A sc :
-
Area of reinforcement in column
- A sc,0 :
-
Area of the layer of steel farthest from the maximum compression face in a column
- A sjh :
-
Area of horizontal stirrups in the joint panel
- A str :
-
Effective area of the diagonal strut
- a s :
-
Strut depth
- a v :
-
Effective shear span
- b b :
-
Beam width
- d b :
-
Beam depth
- d b ′:
-
Thickness of the cover concrete in beam
- b c :
-
Column width
- BI:
-
Beam reinforcement index
- b j :
-
Effective joint width
- c:
-
Depth of the flexural compression zone of the elastic column
- C d :
-
Diagonal compressive strength in the concrete strut
- C d, n :
-
Nominal diagonal compressive strength in the concrete strut
- D:
-
Force of the diagonal strut
- d c :
-
Column effective depth
- d c ′:
-
Thickness of the cover concrete in column
- e b :
-
Eccentricity between the beam centreline and the column centroid
- f c :
-
Compressive concrete strength
- F h and F v :
-
Horizontal and vertical forces components of the joint mechanism
- f yb :
-
Yielding stress of beam reinforcement
- f yc :
-
Yielding stress of column reinforcement
- f yj :
-
Yielding stress of joint stirrups
- h b :
-
Beam depth
- h c :
-
Column depth
- JI:
-
Joint transverse reinforcement index
- λ:
-
Overstrength factor of the steel
- N c :
-
Axial force in column
- ν :
-
No dimensional compressive stress at the bottom of the top column
- θ :
-
Inclination of the concrete strut
- θ crit :
-
Critical inclination of the concrete strut
- R:
-
Radius of the centreline of the beam bars bent into the joint
- ρ b :
-
beam reinforcement ratio
- R c :
-
Concrete cube strength
- ρ c :
-
Column longitudinal reinforcement ratio
- ρ j :
-
Volumetric joint transverse reinforcement ratio
- ρ jh :
-
Horizontal stirrup ratio
- s:
-
Spacing of the stirrups
- σ c :
-
Column normal stress
- σ d,max :
-
Maximum stress of the diagonal strut
- T:
-
Tensile strength of the top beam reinforcement
- V c :
-
Shear force acting the bottom of the top column
- V ch :
-
Shear strength provided by concrete
- v jh :
-
Shear stress of joint
- V jh :
-
Shear strength of joint
- V jh,E :
-
Shear force acting the joint
- V sh :
-
Shear strength provided by stirrups
- z b :
-
Distance between the bars in tension and the resultant of the compression stresses in the sectional analysis of the beam
- z c :
-
Distance between the two outer bars in the column
- χ :
-
Ratio between the effective shear span and the column effective depth
- ζ :
-
Stiffness coefficient
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Lima, C., Martinelli, E. & Faella, C. Capacity models for shear strength of exterior joints in RC frames: state-of-the-art and synoptic examination. Bull Earthquake Eng 10, 967–983 (2012). https://doi.org/10.1007/s10518-012-9340-4
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DOI: https://doi.org/10.1007/s10518-012-9340-4