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Table 3 Column matrix of Stage I—parametric study.

From: Analytical Study of Force–Displacement Behavior and Ductility of Self-centering Segmental Concrete Columns

Column code

Varying parameter

Lateral capacity (kN)

Parameters obtained from bi-linear idealized response

Δ y (mm)

Δ u (mm)

V y (kN)

K e (kN/mm)

μ

C1-1

\( f_{c}^{'} \) = 25 MPa

2.65

11.8

70.0

2.49

0.21

5.9

C1-2

\( f_{c}^{'} \) = 35 MPa

2.87

8.4

60.5

2.68

0.32

7.2

C1-3

\( f_{c}^{'} \) = 45 MPa

3.11

7.2

55.7

2.83

0.39

7.7

C1-4

\( f_{c}^{'} \) = 55 MPa

3.18

4.7

59.8

2.82

0.60

12.7

C1-5

\( f_{c}^{'} \) = 65 MPa

3.25

4.6

68.0

2.90

0.63

14.8

C1-6

f \( f_{c}^{'} \) = 75 MPa

3.30

4.4

107.0

2.89

0.66

24.3

C2-1

f c / \( f_{c}^{'} \) = 0.032

2.24

7.1

129.4

1.98

0.28

18.3

C2-2

f c / \( f_{c}^{'} \) = 0.042

2.5

6.0

93.3

2.15

0.36

15.6

C2-3

f c / \( f_{c}^{'} \) = 0.057

3.18

4.7

59.8

2.82

0.60

12.7

C2-4

f c / \( f_{c}^{'} \) = 0.109

4.61

4.6

56.8

4.19

0.92

12.5

C2-5

f c / \( f_{c}^{'} \) = 0.160

5.68

4.5

57.9

5.22

1.15

12.8

C2-6

f c / \( f_{c}^{'} \) = 0.212

6.55

4.6

57.0

6.03

1.31

12.4

C2-7

f c / \( f_{c}^{'} \) = 0.263

7.23

4.9

54.4

6.67

1.37

11.2

C3-1

f c  = 1.4 MPa

1.54

17.8

128.3

1.45

0.08

7.2

C3-2

f c  = 2.8 MPa

2.47

12.2

80.1

2.33

0.19

6.5

C3-3

f c  = 5.7 MPa

4.18

8.3

64.4

3.88

0.47

7.8

C3-4

f c  = 8.5 MPa

5.84

7.2

56.2

5.46

0.76

7.8

C3-5

f c  = 11.3 MPa

7.57

7.2

50.8

7.01

0.98

7.1

C3-6

f c  = 14.2 MPa

9.14

6.9

47.5

8.53

1.23

6.8

C4-1

D f  = 0

3.52

5.0

63.0

3.12

0.63

12.7

C4-2

D f  = 0.03

3.18

4.7

59.8

2.82

0.60

12.7

C4-3

D f  = 0.07

2.85

4.6

56.9

2.54

0.55

12.3

C4-4

D f  = 0.10

2.54

4.6

55.1

2.26

0.49

12.0

C4-5

D f  = 0.13

2.24

4.6

53.4

1.99

0.43

11.5

C5-1

D = 150 mm

3.18

4.7

59.8

2.82

0.60

12.7

C5-2

D = 250 mm

7.60

9.4

113.9

7.21

0.77

12.2

C5-3

D = 350 mm

16.01

21.4

86.7

15.20

0.71

4.1

C5-4

D = 450 mm

28.14

37.9

79.0

28.84

0.76

2.1

C6-1

h c  = 0.5 m

10.05

2.9

17.3

9.16

3.20

6.0

C6-2

h c  = 1.0 m

4.72

4.2

38.5

4.22

1.00

9.1

C6-3

h c  = 1.5 m

3.00

4.9

63.8

2.66

0.54

12.9

C6-4

h c  = 2.0 m

2.17

6.3

91.6

1.94

0.31

14.4

C6-5

h c  = 2.5 m

1.69

7.9

120.7

1.51

0.19

15.3

C6-6

h c  = 3.0 m

1.38

9.4

150.8

1.23

0.13

16.1

C7-1

t FRP  = 0 mm

3.18

4.7

59.8

2.82

0.60

12.7

C7-2

t FRP  = 0.1 mm

4.21

36.1

78.6

4.30

0.12

2.2

C7-3

t FRP  = 0.2 mm

4.74

51.7

108.0

4.91

0.10

2.1

C7-4

t FRP  = 0.3 mm

5.05

61.3

137.4

5.27

0.09

2.2

C7-5

t FRP  = 0.4 mm

5.72

71.7

156.6

5.73

0.08

2.2

C8-1

ε FRP  = 0.003

4.01

32.8

72.0

3.94

0.12

2.2

C8-2

ε FRP  = 0.01

4.26

35.5

89.4

4.26

0.12

2.5

C8-3

ε FRP  = 0.02

4.25

35.4

114.0

4.25

0.12

3.2

C8-4

ε FRP  = 0.03

4.63

36.5

106.8

4.38

0.12

2.9