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Table 5 Comparative analysis for the cracking and ultimate torques—codes of practice.

From: Generalized Softened Variable Angle Truss Model for PC Beams under Torsion

Beam

ACI 318R-14 (ACI Committee 318 2014)

MC 10 (CEB-FIP MODEL 2010)

EC 2 (NP EN 1992-1-1 1992)

CAN3-A23.3-14 (CSA Standard 2014)

\( M_{Tcr,n} \)

(kN m)

\( \frac{{M_{Tcr,\exp } }}{{M_{Tcr,n} }} \)

\( M_{Tu,n} \)

(kN m)

\( \frac{{M_{Tu,\exp } }}{{M_{Tu,n} }} \)

\( M_{Tu,n} \)

(kN m)

\( \frac{{M_{Tu,\exp } }}{{M_{Tu,n} }} \)

\( M_{Tu,n} \)

(kN m)

\( \frac{{M_{Tu,\exp } }}{{M_{Tu,n} }} \)

\( M_{Tu,n} \)

(kN m)

\( \frac{{M_{Tu,\exp } }}{{M_{Tu,n} }} \)

P2 (Jeng et al. 2010)

137.18

0.42

68.11

1.28

111.28

0.78

112.13

0.78

142.08

0.613

P3 (Jeng et al. 2010)

88.74

0.46

46.26

1.21

100.27

0.56

54.41

1.03

68.95

0.809

P8 (Hsu and Mo 1985b)

75.08

0.60

30.86

2.00

36.60

1.69

116.31

0.53

64.67

0.956

D1 (Bernardo et al. 2015c)

502.16

0.34

505.64

0.78

730.46

0.54

594.78

0.67

753.65

0.525

D2 (Bernardo et al. 2015c)

515.56

0.36

548.28

0.82

612.36

0.73

644.94

0.69

817.21

0.548

PA1R (Bernardo et al. 2013)

30.55

0.61

18.23

1.20

20.28

1.07

21.45

1.02

27.18

0.802

PA2 (Bernardo et al. 2013)

35.00

0.65

19.22

1.52

23.41

1.25

37.72

0.78

47.79

0.613

PA3 (Bernardo et al. 2013)

38.33

0.65

19.18

1.77

21.26

1.60

52.17

0.65

46.65

0.729

PA4 (Bernardo et al. 2013)

43.65

0.60

19.27

1.94

21.32

1.75

71.68

0.52

47.09

0.794

PB1 (Bernardo et al. 2013)

28.70

0.57

17.01

1.31

23.05

0.96

20.01

1.11

25.36

0.876

PB2 (Bernardo et al. 2013)

32.33

0.58

16.54

1.66

25.84

1.06

34.95

0.79

42.12

0.653

PB3 (Bernardo et al. 2013)

36.41

0.60

17.30

1.88

24.10

1.35

47.06

0.69

43.91

0.742

PB4 (Bernardo et al. 2013)

41.30

0.58

17.30

2.17

23.82

1.58

67.25

0.56

43.91

0.856

PC1 (Bernardo et al. 2013)

25.83

0.54

14.73

1.34

22.10

0.89

17.33

1.14

21.96

0.897

PC2 (Bernardo et al. 2013)

29.87

0.58

13.93

2.05

25.67

1.11

30.12

0.95

35.21

0.812

PC3 (Bernardo et al. 2013)

32.72

0.57

14.13

2.32

23.09

1.42

41.22

0.80

34.17

0.960

PC4 (Bernardo et al. 2013)

37.40

0.58

14.27

2.71

23.33

1.66

57.54

0.67

34.83

1.111

H3AR (Jeng 2015)

47.48

0.48

43.09

0.78

33.03

1.02

50.69

0.66

64.23

0.525

H2A (Jeng 2015)

51.12

0.30

51.86

0.69

33.45

1.07

61.00

0.59

77.29

0.463

H1AR (Jeng 2015)

48.96

0.65

55.28

0.69

29.72

1.29

65.03

0.59

82.39

0.466

H3B (Jeng 2015)

37.37

0.55

24.04

1.10

32.13

0.82

28.28

0.93

35.84

0.737

H2B (Jeng 2015)

41.14

0.66

27.06

1.09

31.83

0.93

31.83

0.93

40.33

0.732

H1B (Jeng 2015)

42.42

0.70

29.95

1.05

27.45

1.14

35.23

0.89

44.64

0.701

M3A (Jeng 2015)

39.85

0.49

43.09

0.70

27.75

1.08

50.69

0.59

57.79

0.519

M2A (Jeng 2015)

41.60

0.65

49.19

0.65

27.08

1.18

57.86

0.55

64.37

0.496

M1A (Jeng 2015)

44.96

0.70

55.27

0.64

25.13

1.41

65.02

0.54

72.52

0.488

M3B (Jeng 2015)

31.94

0.57

24.05

1.03

26.98

0.92

28.28

0.87

35.84

0.689

M2B (Jeng 2015)

34.11

0.77

27.06

0.97

26.08

1.00

31.83

0.82

40.33

0.650

M1B (Jeng 2015)

36.07

0.74

29.95

0.96

23.88

1.21

35.23

0.82

44.64

0.647

 

\( \bar{x} \) = 0.59

 

\( \bar{x} \) = 1.17

 

\( \bar{x} \) = 1.13

 

\( \bar{x} \) = 0.77

 

\( \bar{x} \) = 0.68

 
 

s = 0.12

 

s = 0.63

 

s = 0.22

 

s = 0.18

 

s = 0.19

 
 

cv = 20%

 

cv = 54%

 

cv = 20%

 

cv = 23%

 

cv = 28%