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Table 11 Force estimation result of Cable III

From: Cable force estimation of cables with small sag considering inclination angle effect

EC

Angle

(°)

FF

(Hz)

RCF

(MN)

Hinged-Hinged

Fixed-Fixed

Estimated

Tj(MN)

RE(%)

Tg(MN)

RE(%)

T1(MN)

RE(%)

\( {K}_{rot}^{\hbox{'}} \)

0

3.012

90.0000

127.1397

41.27

80.7797

−10.24

91.0980

1.22

30

2.987

127.0212

41.13

80.3083

−10.77

91.1700

1.30

60

2.936

127.2972

41.44

79.4885

−11.68

90.9450

1.05

90

2.911

128.0851

42.32

79.2526

−11.94

91.0080

1.12

\( {K}_{rot}^{\hbox{'}\hbox{'}} \)

0

3.060

90.0000

132.2906

46.99

85.0960

−5.45

91.3140

1.46

30

3.036

132.1089

46.79

84.6334

−5.96

91.2690

1.41

60

2.989

132.4438

47.16

83.9941

−6.67

91.8450

2.05

90

2.965

133.1648

47.96

83.7579

−6.94

94.0050

4.45

\( {K}_{rot}^{\hbox{'}\hbox{'}\hbox{'}} \)

0

3.079

90.0000

134.3520

49.28

86.8234

−3.53

92.2320

2.48

30

3.056

134.2093

49.12

86.4190

−3.98

92.1510

2.39

60

3.009

134.4098

49.34

85.7153

−4.76

92.9430

3.27

90

2.986

135.1655

50.18

85.5323

−4.96

93.3660

3.74

  1. Note: EB denotes elastic boundary; FF denotes fundamental frequency; RCF denotes reference cable force; RE denotes relative error