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Seismic performance of precast prestressed concrete frame joints with buckle mechanical connection of reinforcing bars

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03 sept 2025

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Figure 1

Schematic diagram of the buckle-type mechanical connector. (a) Before connection, (b) after connection, (c) reinforced bar mechanical connection method, (d) internal structure of the connector.
Schematic diagram of the buckle-type mechanical connector. (a) Before connection, (b) after connection, (c) reinforced bar mechanical connection method, (d) internal structure of the connector.

Figure 2

Detailed diagrams of each specimen. (a) S1, (b) S2, (c) S3–S6, (d) column-end reinforcement (joint region), (e) column-end reinforcement (normal region), (f) beam-end reinforcement (dense zone), (g) beam-end reinforcement (normal zone), and (h) key grooves.
Detailed diagrams of each specimen. (a) S1, (b) S2, (c) S3–S6, (d) column-end reinforcement (joint region), (e) column-end reinforcement (normal region), (f) beam-end reinforcement (dense zone), (g) beam-end reinforcement (normal zone), and (h) key grooves.

Figure 3

Specimen fabrication process. (a) Fabrication of column rebar cage, (b) fabrication of cast-in-place joint rebar cage, (c) attachment of strain gauges, (d) insertion of rebar cage into the mold, (e) concrete pouring, (f) second concrete pouring, (g) tensioning of steel strands, (h) strain gauge sensor, and (i) placement diagram of the strain gauge sensor.
Specimen fabrication process. (a) Fabrication of column rebar cage, (b) fabrication of cast-in-place joint rebar cage, (c) attachment of strain gauges, (d) insertion of rebar cage into the mold, (e) concrete pouring, (f) second concrete pouring, (g) tensioning of steel strands, (h) strain gauge sensor, and (i) placement diagram of the strain gauge sensor.

Figure 4

Mechanical properties testing of steel reinforcements and mechanical connectors. (a) Tensile test of steel bar, (b) fracture of steel bar, (c) tensile test of mechanical connection steel reinforcement, (d) fracture of mechanical connection steel reinforcement, and (e) comparison of uniaxial tensile stress–strain curves for rebar and mechanical connector.
Mechanical properties testing of steel reinforcements and mechanical connectors. (a) Tensile test of steel bar, (b) fracture of steel bar, (c) tensile test of mechanical connection steel reinforcement, (d) fracture of mechanical connection steel reinforcement, and (e) comparison of uniaxial tensile stress–strain curves for rebar and mechanical connector.

Figure 5

Experimental setup and loading schematic. (a) Schematic of the experimental setup and (b) on-site image of the experimental setup.
Experimental setup and loading schematic. (a) Schematic of the experimental setup and (b) on-site image of the experimental setup.

Figure 6

Loading system.
Loading system.

Figure 7

Layout of measuring points and measurement methods. (a) Reinforcement strain measurement points, (b) speckle pattern in the core region, (c) DIC instrument, and (d) crack width measuring instrument.
Layout of measuring points and measurement methods. (a) Reinforcement strain measurement points, (b) speckle pattern in the core region, (c) DIC instrument, and (d) crack width measuring instrument.

Figure 8

Crack distribution and failure features of cast-in-place specimen S1. (a) Cracks at the left beam of specimen S1, (b) cracks at the right beam of specimen S1, (c) cracks at the joint core of specimen S1, (d) failure at the left beam end of specimen S1, and (e) concrete crushing in the right beam of specimen S1.
Crack distribution and failure features of cast-in-place specimen S1. (a) Cracks at the left beam of specimen S1, (b) cracks at the right beam of specimen S1, (c) cracks at the joint core of specimen S1, (d) failure at the left beam end of specimen S1, and (e) concrete crushing in the right beam of specimen S1.

Figure 9

Crack development and failure characteristics of precast non-prestressed specimen S2. (a) Overall failure mode of specimen S2, (b) cracks in the left beam of specimen S2, (c) cracks in the right beam of specimen S2, and (d) cracks in the joint core of specimen S2.
Crack development and failure characteristics of precast non-prestressed specimen S2. (a) Overall failure mode of specimen S2, (b) cracks in the left beam of specimen S2, (c) cracks in the right beam of specimen S2, and (d) cracks in the joint core of specimen S2.

Figure 10

Crack development and failure characteristics of precast prestressed specimen S3. (a) Cracks in the left beam of specimen S3, (b) cracks in the core joint of specimen S3, (c) cracks in the right beam of specimen S3, (d) overall failure mode of specimen S3, (e) reinforcement exposure in the left beam of specimen S3, and (f) connector exposure in specimen S3.
Crack development and failure characteristics of precast prestressed specimen S3. (a) Cracks in the left beam of specimen S3, (b) cracks in the core joint of specimen S3, (c) cracks in the right beam of specimen S3, (d) overall failure mode of specimen S3, (e) reinforcement exposure in the left beam of specimen S3, and (f) connector exposure in specimen S3.

Figure 11

Crack propagation and beam-end damage in precast prestressed specimen S4. (a) Cracks in the left beam of specimen S4, (b) cracks in the joint core of specimen S4, (c) cracks in the right beam of specimen S4, (d) concrete spalling at the bottom of the beam in specimen S4, and (e) reinforcement exposure in the right beam of specimen S4.
Crack propagation and beam-end damage in precast prestressed specimen S4. (a) Cracks in the left beam of specimen S4, (b) cracks in the joint core of specimen S4, (c) cracks in the right beam of specimen S4, (d) concrete spalling at the bottom of the beam in specimen S4, and (e) reinforcement exposure in the right beam of specimen S4.

Figure 12

Cracking, connector exposure, and spalling in precast prestressed specimen S5. (a) Cracks in the left beam of specimen S5, (b) cracks in the joint core of specimen S5, (c) cracks in the right beam of specimen S5, (d) overall failure mode of specimen S5, (e) concrete spalling at the bottom of the beam in specimen S5, (f) connector exposure at the bottom of the beam in specimen S5, and (g) concrete crushing at the upper end of the beam in specimen S5.
Cracking, connector exposure, and spalling in precast prestressed specimen S5. (a) Cracks in the left beam of specimen S5, (b) cracks in the joint core of specimen S5, (c) cracks in the right beam of specimen S5, (d) overall failure mode of specimen S5, (e) concrete spalling at the bottom of the beam in specimen S5, (f) connector exposure at the bottom of the beam in specimen S5, and (g) concrete crushing at the upper end of the beam in specimen S5.

Figure 13

Severe cracking and reinforcement exposure in precast prestressed specimen S6. (a) Cracks in the left beam of specimen S6, (b) cracks in the joint core of specimen S6, (c) cracks in the right beam of specimen S6, (d) overall failure mode of specimen S6, (e) concrete crushing at the upper part of the left beam in specimen S6, (f) reinforcement exposure in the right beam of specimen S6, and (g) exposure of connectors and stirrups at the bottom of the beam in specimen S6.
Severe cracking and reinforcement exposure in precast prestressed specimen S6. (a) Cracks in the left beam of specimen S6, (b) cracks in the joint core of specimen S6, (c) cracks in the right beam of specimen S6, (d) overall failure mode of specimen S6, (e) concrete crushing at the upper part of the left beam in specimen S6, (f) reinforcement exposure in the right beam of specimen S6, and (g) exposure of connectors and stirrups at the bottom of the beam in specimen S6.

Figure 14

Comparison of the hysteresis curves. (a) S1, (b) S2, (c) S3, (d) S4, (e) S5, and (f) S6.
Comparison of the hysteresis curves. (a) S1, (b) S2, (c) S3, (d) S4, (e) S5, and (f) S6.

Figure 15

Comparison of the skeleton curves.
Comparison of the skeleton curves.

Figure 16

Comparison of the strength degradation. (a) Strength degradation of S1, (b) strength degradation of S2, (c) strength degradation of S3, (d) strength degradation of S4, (e) strength degradation of S5, and (f) strength degradation of S6.
Comparison of the strength degradation. (a) Strength degradation of S1, (b) strength degradation of S2, (c) strength degradation of S3, (d) strength degradation of S4, (e) strength degradation of S5, and (f) strength degradation of S6.

Figure 17

Comparison of the stiffness degradation.
Comparison of the stiffness degradation.

Figure 18

Equivalent elastic-plastic energy method.
Equivalent elastic-plastic energy method.

Figure 19

Energy dissipation coefficient calculation diagram.
Energy dissipation coefficient calculation diagram.

Figure 20

Comparison of energy dissipation coefficient.
Comparison of energy dissipation coefficient.

Figure 21

Comparison of beam longitudinal reinforcement strains of specimens S2 and S6.
Comparison of beam longitudinal reinforcement strains of specimens S2 and S6.

Figure 22

Comparison of column longitudinal reinforcement strain of specimens S2 and S6.
Comparison of column longitudinal reinforcement strain of specimens S2 and S6.

Figure 23

Comparison of the stirrup strain distribution of specimens S2 and S6.
Comparison of the stirrup strain distribution of specimens S2 and S6.

Figure 24

DIC strain contour plots of specimen S2.
DIC strain contour plots of specimen S2.

Main design parameters of specimens_

Specimen S1 S2 S3 S4 S5 S6
Axial compression ratio 0.2 0.2 0.2 0.2 0.3 0.4
Prestress 0.4f ptk 0.6f ptk 0.6f ptk 0.6f ptk
Concrete C40 C40 C40 C40 C40 C40
Column reinforcement 8φ20 8φ20 8φ20 8φ20 8φ20 8φ20
Beam reinforcement 4φ16 4φ16 4φ16 4φ16 4φ16 4φ16
Stirrups φ8 φ8 φ8 φ8 φ8 φ8
Remarks Cast-in-place Buckle-type connection Buckle-type connection Buckle-type connection Buckle-type connection Buckle-type connection

Comparison of the characteristic displacements_

Specimen Loading direction Δ y (mm) Δ u (mm) μ Average coefficient
S1 Forward 37.64 89.90 2.39 3.52
Reverse 19.35 90.11 4.66
S2 Forward 28.1 72.03 2.56 2.37
Reverse 32.92 71.94 2.06
S3 Forward 29.28 72.05 2.38 2.32
Reverse 32.97 71.97 2.06
S4 Forward 27.65 67.87 2.45 2.20
Reverse 34.91 68.12 1.95
S5 Forward 26.48 68.10 2.57 2.29
Reverse 33.96 67.92 2.00
S6 Forward 26.66 75.03 2.81 2.63
Reverse 30.73 74.90 2.44

Mechanical properties of steel materials_

Material type Diameter (mm) Yield strength f y (MPa) Ultimate strength f u (MPa) Elastic modulus E s (MPa)
HRB400 8 422 541 2.00 × 105
18 442 618 2.00 × 105
20 448 633 2.00 × 105
Buckle connection HRB400 18 427 611 2.00 × 105
20 436 633 2.00 × 105
φS15.2 steel strand 15.2 1,930 1.95 × 105

Concrete material properties_

Batch Cube strength f cu 0 {f}_{\text{cu}}^{0} (MPa) Axial strength f c 0 {f}_{\text{c}}^{0} (MPa) Tensile strength f t 0 {f}_{\text{t}}^{0} (MPa) Elastic modulus E c (MPa)
First 46.6 34.6 3.2 33,960
Second 41.7 31.5 3.1 32,980

Comparison of energy dissipation coefficient (E) and equivalent viscous damping coefficient (h e)_

Specimens S1 S2 S3 S4 S5 S6
E 1.53 1.12 1.2 1.33 1.38 1.63
h e 0.25 0.18 0.19 0.22 0.22 0.26

Comparison of the characteristic parameters_

Specimen number Loading direction Yield load P y (kN) Peak load P max (kN) P max/P y Average ratio
S1 Positive 78 83.61 1.07 1.10
Negative 73.24 82.62 1.13
S2 Positive 74.54 86.52 1.16 1.10
Negative 77.98 80.66 1.03
S3 Positive 78.39 87.43 1.12 1.15
Negative 76.84 90.75 1.18
S4 Positive 80.09 91.8 1.15 1.13
Negative 83.01 29.53 1.12
S5 Positive 79.76 91.93 1.15 1.13
Negative 93.85 103.04 1.10
S6 Positive 87.46 110.45 1.26 1.26
Negative 76.65 97.09 1.27

Comparison of residual deformation rate_

Specimen Loading direction Δ r (mm) Δ u (mm) μ r (%) Average value (%)
S1 Reverse 78.08 90.11 0.87 0.87
Forward 77.65 89.9 0.86
S2 Reverse 50.03 71.94 0.70 0.75
Forward 58.06 72.03 0.81
S3 Reverse 49.58 72.17 0.69 0.73
Forward 55.21 72.05 0.77
S4 Reverse 42.87 68.12 0.63 0.67
Forward 48.79 67.87 0.72
S5 Reverse 47.66 67.92 0.70 0.76
Forward 55.48 68.1 0.81
S6 Reverse 60.38 74.9 0.81 0.83
Forward 64.14 75.03 0.85