Abstract
This work presents a study on the behaviour under cyclic loading of reinforced concrete beams strengthened in bending by the addition of concrete and steel on their tension side using expansion bolts as shear connectors, denominated here as partial jacketing. The experimental program included tests on six full scale reinforced concrete beams, simply supported, with rectangular cross section 150 mm wide and 400 mm high, span of 4,000 mm and total length of 4,500 mm. All the beams, after receiving two cycles of static loading in order to create a pre-cracking condition, were strengthened in bending by partial jacketing and then subjected to cyclic loading until the completion of 2 × 106 cycles or the occurrence of fatigue failure. Following the cyclic loading, the beams that did not fail by fatigue were subjected to a static load up to failure. The main variables were the flexural reinforcement ratio in the beam and in the jacket, the beam–jacket interface condition (smooth or rough) and cyclic load amplitude. On the basis of the obtained test results and the results of previous study of similar beams tested only under static loading, the behaviour of the strengthened beams is discussed and a proposal for their design is given.
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Abbreviations
- A i :
-
Area of beam–jacket interface
- A s :
-
Cross sectional area of tensile longitudinal reinforcement in the beam
- A s':
-
Cross sectional area of compressive longitudinal reinforcement
- A sr :
-
Cross sectional area of tensile longitudinal reinforcement added in the jacket
- A st :
-
Total cross sectional area of tensile longitudinal reinforcement (A s + A sr)
- M u :
-
Ultimate theoretical bending moment
- N :
-
Number of cycles
- P :
-
Load
- P cr :
-
Cracking load
- T r :
-
Force in the longitudinal jacket steel
- b :
-
Width of the cross-section
- d :
-
Effective depth of the cross-section
- d′:
-
Distance from extreme compression fiber to centroid of compression reinforcement
- f c :
-
Mean compressive cylinder strength of concrete
- f ck :
-
Characteristic compressive cylinder strength of concrete
- f cd :
-
Design compressive cylinder strength of concrete
- f y :
-
Mean yield strength of reinforcement
- f yd :
-
Design yield strength of reinforcement
- h :
-
Depth of the cross-section
- γ c; γ s :
-
Partial factor for concrete and steel
- Δ:
-
Deflection
- Δι :
-
Maximum deflection in the initial static loading
- Δ1 :
-
Maximum deflection in the first cycle
- Δ Ν :
-
Maximum deflection in the N cycle
- ΔΤ r :
-
Variation of total force in the longitudinal jacket steel obtained from measured steel strains
- Δε s :
-
Strain variation of longitudinal reinforcement of the beam
- Δε sr :
-
Strain variation of longitudinal reinforcement of the jacket
- Δσ s :
-
Stress variation in the longitudinal reinforcement of the beam
- Δσ sr :
-
Stress variation in the longitudinal reinforcement of the jacket
- Δτ ch :
-
Shear stress variation in the expansion bolt
- ε s :
-
Strain in the longitudinal steel of the beam
- ε sr :
-
Strain in the longitudinal steel of the jacket
- ρ r :
-
Added geometrical steel ratio
- ρ t :
-
Total geometrical steel ratio
- ρ w :
-
Geometrical steel ratio at interface between concretes
- σ s :
-
Stress in the longitudinal reinforcement of the beam
- σ sr :
-
Stress in the longitudinal reinforcement of the jacket
- τ :
-
Nominal shear stress at the beam–jacket interface
- φ :
-
Diameter of a reinforcing bar
- cal:
-
Calculated
- exp:
-
Experimental
- max:
-
Maximum
- min:
-
Minimum
- res:
-
Residual
- theo:
-
Theoretical
- u:
-
Ultimate
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Acknowledgments
The authors would like to thank HOLCIM and the Brazilian Government financing agencies CNPq and CAPES for supporting this project.
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Vaz, A.P.R., Shehata, I.A.E.M., da Conceição Domingues Shehata, L. et al. Behaviour of RC beams strengthened by partial jacketing under cyclic loading. Mater Struct 47, 383–396 (2014). https://doi.org/10.1617/s11527-013-0067-8
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DOI: https://doi.org/10.1617/s11527-013-0067-8