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Shear strengthening of deficient RC deep beams using NSM FRP system: Experimental and numerical investigation

   | 27 mai 2024
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Fig. 1.

Test specimens: (a) DB-S-F; (b) DB-NS0; and (c) DB-FRP. (All dimensions are in mm)
Test specimens: (a) DB-S-F; (b) DB-NS0; and (c) DB-FRP. (All dimensions are in mm)

Fig. 2.

Strain gauge locations
Strain gauge locations

Fig. 3.

Failure pattern of specimen DB-S-F
Failure pattern of specimen DB-S-F

Fig. 4.

Failure pattern of specimen DB-NS0
Failure pattern of specimen DB-NS0

Fig. 5.

Failure pattern of specimen DB-FRP
Failure pattern of specimen DB-FRP

Fig. 7.

Load displacement of specimen DB-NS0
Load displacement of specimen DB-NS0

Fig. 9.

The idealized stress-strain curve for steel reinforcement
The idealized stress-strain curve for steel reinforcement

Fig. 6.

Load displacement of specimen DB-S-F
Load displacement of specimen DB-S-F

Fig. 8.

Load displacement of specimen DB-S
Load displacement of specimen DB-S

Fig. 10.

FE model set-up: (a) Finite elements types; (b) Loading and boundary conditions; (c) Meshing size.
FE model set-up: (a) Finite elements types; (b) Loading and boundary conditions; (c) Meshing size.

Fig. 11.

Failure modes for FE and experimental deep beams: (a) DB-S-F; (b) DB-NS0; (c) DB-FRP
Failure modes for FE and experimental deep beams: (a) DB-S-F; (b) DB-NS0; (c) DB-FRP

Fig. 12.

FE and experimental load versus mid-span deflection curves for deep beams
FE and experimental load versus mid-span deflection curves for deep beams

Test results of all tested specimens

Beam description of half span part Shear strength (kN) Note
Beam part with no stirrups 67.1 (DB-NS0)
Beam part having stirrups in all span 82.5 (DB-S-F) 23% improvement as compared to DB-NS0
RC beam part with no stirrups but strengthened using NSM U-wrap CFRP strips 112 (DB-FRP) 82% improvement as compared to DB-NS0

Constitutive material models parameters of concrete, Sikadur resin, and CFRP

Material Parameters Values Denotation
Concrete Dilation angle (ψ) 32° Calibrated value
Eccentricity (ε) 0.1 ABAQUS (default value)
Stress ratio (σb0/σc0) 1.16 ABAQUS (default value)
Shape factor (Kc) 0.667 ABAQUS (default value)
Sikadur mortar Dilation angle (ψ) 40° Calibrated value
Eccentricity (ε) 0.1 ABAQUS (default value)
Stress ratio (σb0/σc0) 1.16 ABAQUS (default value)
Shape factor (Kc) 0.667 ABAQUS (default value)
CFRP sheet Poisson’s ratio (ν) 0.3 Widely used in FE modeling
Modulus of Elasticity (E) 230000 MPa Given by the manufacturer
Tensile strength (longitudinal: σt1) 1122 MPa Experimental Value
Compressive strength (longitudinal: σc1) 10 MPa Al-Mekhlafi, et al. [11]
Shear strength (longitudinal: τf1) 10 MPa
Transversal tensile strength (σt2) 10 MPa
Compressive strength (transversal: σc2) 10 MPa
Shear strength (transversal: τf2) 10 MPa

Mixture composition of concrete mixture

Material Weight (kg/m3)
Cement 650
Silica sand 528
Coarse aggregate (Nominal size = 10 mm) 770
Crush sand 264
Water (w/c = 0.25) 162.5
Super-plasticizer(Gli-110) 3 Liters

Overview of test samples

Specimen Left half span Right half span
Shear stirrups Shear strengthening Shear stirrups Shear strengthening
DB-S-F 2L-f6@100 None 2L-f6@100 None
DB-NS0 2L-f6@100 None None None
DB-FRP 2L-f6@100 Yes None The specimen has two layers of U-wraps of FRP (25 mm wide) spaced at 100 mm intervals, along with a single layer of horizontally bonded FRP strips (50 mm wide) placed at the mid-depth on each face.

Comparison of experimental and FE results

Specimen ID Exp. flexural strength (kN) FE flexural strength (kN) Error %
DB-S-F 165 172 4.07%
DB-NS0 134 137 2.19%
DB-FRP 212 218 2.75%

Mechanical characterization of steel reinforcement

Mechanical Property Bar diameter Test Standard
10 mm 6 mm
Yield strength, (MPa) 525 280 ASTM A370 (2017)
Ultimate strength, (MPa) 578 380
Modulus of elasticity, (GPa) 200 200

Characteristics of the strengthening materials

Item Value
CFRP composite
Type of FRP Unidirectional CFRP sheet
Longitudinal elastic modulus of the primary fibers. (GPa) 77.3
Transverse elastic modulus relative to the primary fiber direction. (MPa) 40.6
Strain at fracture along the primary fiber direction (%) 1.1
Maximum tensile strength along the primary fiber direction (MPa) 846
Thickness of each individual layer, tf (mm) 1.0
Epoxy
Density (kg /l) 1.16
Tensile strength of the adhesive (MPa) > 4.0 (7 days)
Tensile modulus of elasticity (GPa) 3.5 (7 days)
Sikadur_31 Thixotropic epoxy_resin mortar
Tensile strength of the adhesive (MPa) 15
Density (kg /l) 1.65
Modulus of Elasticity (GPa) 4.3

Mesh convergence analysis results

Mesh types Beam elements size Experimental flexural strength (kN) FE flexural strength (kN) Experimental/FE
Type 1 25 165 185 89.2%
Type 2 15 178 92.7%
Type 3 7 172 95.6%
eISSN:
2083-134X
Langue:
Anglais