Table 6 Association between the numerical outcomes and the equation out-put for the simulated beams.

From: Nonlinear analysis of hollow reinforced high strength concrete beams with web openings and different types of stirrups under torsion

Group no.

\(\:\:{{T}_{u}}^{FE},\:\text{k}\text{N}.\text{m}\)

\(\:{{T}_{u}}^{Eqn.},\:\text{k}\text{N}.\text{m}\)

\(\:\frac{{{T}_{u}}^{Eqn.}}{{{T}_{u}}^{FE}}\)

60

\(\:{f}_{cu}\), MPa

80

100

60

\(\:{f}_{cu}\), MPa

80

100

60

\(\:{f}_{cu}\), MPa

80

100

1

107.25

123.5

139.8

98.50

119.30

140.101

0.92

0.97

1.00

84.5

102.5

130

88.54

109.34

130.14325

1.05

1.07

1.00

73.45

92.68

118.56

79.26

100.06

120.8575

1.08

1.08

1.02

2

91.81

121.06

135

95.61

116.41

137.21

1.04

0.96

1.02

80

92.63

126.25

82.22

103.02

123.821

1.03

1.11

0.98

72.46

89.38

115.38

69.42

90.22

111.02

0.96

1.01

0.96

3

82.97

100.75

130

93.07

113.87

134.671

1.12

1.13

1.04

74.75

89.7

121

76.17

96.97

117.76675

1.02

1.08

0.97

59.07

81.25

107.25

59.85

80.65

101.4505

1.01

0.99

0.95

2-S2

121.88

135

149.5

109.34

130.14

150.944

0.90

0.96

1.01

113.75

121.88

140.84

96.00

116.80

137.597

0.84

0.96

0.98

87.88

107.25

121.88

82.78

103.58

124.376

0.94

0.97

1.02

2-S3

125.67

135.78

150.82

118.42

139.22

160.016

0.94

1.03

1.06

119

126.75

144.86

105.11

125.91

146.711

0.88

0.99

1.01

96

110.5

126.75

92.31

113.11

133.91

0.96

1.02

1.06

2-D2

106.96

133.25

156

113.92

134.72

155.522

1.07

1.01

1.00

85.31

111.46

131.46

100.41

121.21

142.007

1.18

1.09

1.08

73.13

106.9

125

88.78

109.58

130.382

1.21

1.03

1.04

2-R2

95.75

121.75

148.85

103.61

124.41

145.214

1.08

1.02

0.98

90.09

109.6

127.29

90.23

111.03

131.825

1.00

1.01

1.04

83.5

96.08

121.88

77.42

98.22

119.024

0.93

1.02

0.98

2-GFRP

107.25

133.25

156

111.61

132.41

153.21

1.04

0.99

0.98

99.13

117.5

139.75

98.22

119.02

139.821

0.99

1.01

1.00

82.55

102.25

126.94

85.42

106.22

127.02

1.03

1.04

1.00

Mean

 

1.01

1.02

1.01

σ

 

0.09

0.05

0.03

v

 

0.77

0.22

0.11