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International Journal of Concrete Structures and Materials

Table 3 Measured and predicted results for the uniaxial tensile tests (second test program).

From: Hybrid Effects of Carbon-Glass FRP Sheets in Combination with or without Concrete Beams

Specimen

Meas. E HF (GPa)

Meas. ε u_C_HF

Meas. σ u_C_HF (MPa)

E a HF (GPa)

Ε a u_C_HF

σ a u_C_HF (MPa)

σ b u_C_HF (MPa)

Meas. E * GF (GPa)

Meas. ε u_G_HF

Meas. σ u_G_HF (MPa)

σ a u_G_HF (MPa)

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

CFRP-a

273.8

0.01

2,425

202

0.0129

2,656

3,474

    

CFRP-b

196

0.0125

2,450

202

0.0129

2,656

3,474

    

CFRP-c

189.7

0.0146

2,597

202

0.0129

2,656

3,474

    

CFRP-d

238.4

0.0105

2,496

202

0.0129

2,656

3,474

    

CFRP-e

194

0.0145

2,660

202

0.0129

2,656

3,474

    

CFRP-D-a

121.3

0.0108

2,404

202

0.0129

2,656

3,474

    

CFRP-D-b

233.7

0.0153

3,555

202

0.0129

2,656

3,474

    

CFRP-D-c

172.9

0.0154

2,662

202

0.0129

2,656

3,474

    

Average

202.4

0.013

2,656

202

0.0129

2,656

3,474

    

HFRP-1-a

130.9

0.0157

2,057

134.7

0.0129

1,738

1,920

   

592

HFRP-1-b

164.9

0.0125

1,815

134.7

0.0129

1,738

1,920

   

592

HFRP-1-c

145.3

0.0152

2,202

134.7

0.0129

1,738

1,920

244.3

0.0173

4,473

592

HFRP-1-d

148

0.0179

2,644

134.7

0.0129

1,738

1,920

   

592

HFRP-1-e

156.5

0.0167

2,384

134.7

0.0129

1,738

1,920

   

592

HFRP-1-f

136.9

0.0142

1,945

134.7

0.0129

1,738

1,920

   

592

HFRP-1-g

130.9

0.0157

2,057

134.7

0.0129

1,738

1,920

   

592

HFRP-D1-a

150.5

0.0135

2,027

134.7

0.0129

1,738

1,920

208.9

0.0151

4,234

592

HFRP-D1-b

144.6

0.0133

1,873

134.7

0.0129

1,738

1,920

238.7

0.016

4,030

592

HFRP-D1-c

150.7

0.0134

2,077

134.7

0.0129

1,738

1,920

   

592

Average

146

0.0148

2,108

134.7

0.0129

1,738

1,920

230.6

0.0161

4,246

592

HFRP-2-a

259.8

0.0053

1,477

112.2

0.0129

1,447

1,675

   

790

HFRP-2-b

99.4

0.0156

1,578

112.2

0.0129

1,447

1,675

143.8

0.0186

2,014

790

HFRP-2-c

100.8

0.0135

1,357

112.2

0.0129

1,447

1,675

99.1

0.017

2,097

790

HFRP-2-d

100.9

0.0132

1,328

112.2

0.0129

1,447

1,675

   

790

HFRP-2-e

92.8

0.0154

1,427

112.2

0.0129

1,447

1,675

126.8

0.0161

1,589

790

HFRP-D2-a

126.7

0.0163

2,066

112.2

0.0129

1,447

1,675

   

790

HFRP-D2-b

121.3

0.0187

2,267

112.2

0.0129

1,447

1,675

   

790

HFRP-D2-c

106.5

0.018

1,756

112.2

0.0129

1,447

1,675

   

790

Average

126

0.0145

1,657

112.2

0.0129

1,447

1,675

123.2

0.0172

1,900

790

HFRP-3-a

106.3

0.0191

2,039

101

0.0129

1,303

1,552

   

888

HFRP-3-b

89.1

0.0095

847

101

0.0129

1,303

1,552

   

888

HFRP-3-c

114.7

0.0135

1,553

101

0.0129

1,303

1,552

   

888

HFRP-3-d

117.5

0.013

1,527

101

0.0129

1,303

1,552

65.5

  

888

HFRP-3-e

111.8

0.0168

1,883

101

0.0129

1,303

1,552

111.8

0.0195

2,447

888

HFRP-3-f

91.6

0.0166

1,488

101

0.0129

1,303

1,552

   

888

HFRP-3-g

97.4

0.0124

1,203

101

0.0129

1,303

1,552

   

888

HFRP-D3-a

109.4

0.0171

1,875

101

0.0129

1,303

1,552

   

888

HFRP-D3-b

92.9

0.0164

1,590

101

0.0129

1,303

1,552

   

888

HFRP-D3-c

104.1

0.0184

1,914

101

0.0129

1,303

1,552

   

888

Average

103.5

0.0153

1,592

101

0.0129

1,303

1,552

88.7

0.0195

2,447

888

HFRP-4-a

107.5

0.0178

1,968

94.2

0.0129

1,215

1,479

   

948

HFRP-4-b

93.6

0.0185

1,729

94.2

0.0129

1,215

1,479

   

948

HFRP-4-c

88.3

0.021

1,854

94.2

0.0129

1,215

1,479

   

948

HFRP-4-d

101.6

0.0191

1,939

94.2

0.0129

1,215

1,479

   

948

HFRP-4-e

108.7

0.016

1,725

94.2

0.0129

1,215

1,479

   

948

HFRP-4-f

87.3

0.0193

1,684

94.2

0.0129

1,215

1,479

   

948

HFRP-4-g

96.9

0.0183

1,694

94.2

0.0129

1,215

1,479

   

948

HFRP-D4-a

98.7

0.0178

1,757

94.2

0.0129

1,215

1,479

   

948

HFRP-D4-b

104.5

0.0185

1,936

94.2

0.0129

1,215

1,479

   

948

HFRP-D4-c

103.6

0.0172

1,889

94.2

0.0129

1,215

1,479

   

948

Average

99.1

0.0184

1,818

94.2

0.0129

1,215

1,479

   

948

HFRP-5-a

77.9

0.0161

1,253

89.4

0.0129

1,153

1,426

   

990

HFRP-5-b

79.1

0.0197

1,556

89.4

0.0129

1,153

1,426

   

990

HFRP-5-c

31.9

0.0174

554

89.4

0.0129

1,153

1,426

   

990

HFRP-5-d

78.2

0.0178

1,362

89.4

0.0129

1,153

1,426

   

990

HFRP-5-e

80.3

0.0201

1,618

89.4

0.0129

1,153

1,426

   

990

HFRP-D5-a

69.8

0.0192

1,834

89.4

0.0129

1,153

1,426

   

990

HFRP-D5-b

97.2

0.018

1,753

89.4

0.0129

1,153

1,426

   

990

HFRP-D5-c

99

0.0185

1,834

89.4

0.0129

1,153

1,426

   

990

Average

76.7

0.0184

1,471

89.4

0.0129

1,153

1,426

   

990

HFRP-6-a

74.4

0.0185

1,375

86.3

0.0129

1,113

1,392

71.2

  

1,018

HFRP-6-b

80.9

0.0175

1,417

86.3

0.0129

1,113

1,392

   

1,018

HFRP-6-c

80.9

0.0177

1,430

86.3

0.0129

1,113

1,392

   

1,018

HFRP-6-d

80.6

0.018

1,450

86.3

0.0129

1,113

1,392

84.1

0.0193

1,726

1,018

HFRP-6-e

78.5

0.0199

1,559

86.3

0.0129

1,113

1,392

   

1,018

HFRP-6-f

81.2

0.0193

1,565

86.3

0.0129

1,113

1,392

   

1,018

HFRP-D6-a

82.3

0.0178

1,465

86.3

0.0129

1,113

1,392

53.6

0.0233

1,511

1,018

HFRP-D6-b

92.6

0.0207

1,783

86.3

0.0129

1,113

1,392

   

1,018

HFRP-D6-c

93.8

0.0188

1,767

86.3

0.0129

1,113

1,392

   

1,018

Average

82.8

0.0187

1,535

86.3

0.0129

1,113

1,392

69.6

0.0213

1,619

1,018

HFRP-7-a

68.2

0.0193

1,313

83.9

0.0129

1,082

1,366

   

1,038

HFRP-7-b

73.6

0.0173

1,269

83.9

0.0129

1,082

1,366

   

1,038

HFRP-7-c

61.9

0.0166

1,027

83.9

0.0129

1,082

1,366

   

1,038

HFRP-7-d

78.6

0.0158

1,248

83.9

0.0129

1,082

1,366

   

1,038

HFRP-7-e

66.8

0.0178

1,192

83.9

0.0129

1,082

1,366

   

1,038

HFRP-7-f

68

0.021

1,604

83.9

0.0129

1,082

1,366

   

1,038

HFRP-7-g

81.6

0.0176

1,464

83.9

0.0129

1,082

1,366

62.3

0.02

1,486

1,038

HFRP-D7-a

87.3

0.0193

1,682

83.9

0.0129

1,082

1,366

118.3

0.0229

1,918

1,038

HFRP-D7-b

91.6

0.0203

1,863

83.9

0.0129

1,082

1,366

   

1,038

HFRP-D7-c

79.7

0.0205

1,645

83.9

0.0129

1,082

1,366

   

1,038

Average

75.7

0.0186

1,431

83.9

0.0129

1,082

1,366

90.3

0.0215

1,702

1,038

HFRP-8-a

71.4

0.018

1,286

82.1

0.0129

1,059

1,346

   

1,054

HFRP-8-b

73.1

0.0211

1,543

82.1

0.0129

1,059

1,346

   

1,054

HFRP-8-c

71.3

0.0173

1,236

82.1

0.0129

1,059

1,346

   

1,054

HFRP-8-d

74.9

0.02

1,454

82.1

0.0129

1,059

1,346

40.1

  

1,054

HFRP-8-e

73.7

0.0184

1,356

82.1

0.0129

1,059

1,346

58.2

0.0233

1,359

1,054

HFRP-8-f

88

0.0206

1,811

82.1

0.0129

1,059

1,346

56

0.0251

1,772

1,054

HFRP-8-g

79.8

0.0221

1,766

82.1

0.0129

1,059

1,346

49

  

1,054

HFRP-D8-a

85.4

0.0179

1,529

82.1

0.0129

1,059

1,346

   

1,054

HFRP-D8-b

82.2

0.0184

1,514

82.1

0.0129

1,059

1,346

   

1,054

HFRP-D8-c

89.8

0.0141

1,263

82.1

0.0129

1,059

1,346

   

1,054

Average

79

0.0188

1,476

82.1

0.0129

1,059

1,346

50.8

0.0242

1,566

1,054

HFRP-9-a

84.2

0.0211

1,777

80.6

0.0129

1,040

1,330

92.8

0.0245

1,766

1,067

HFRP-9-b

87.2

0.0211

1,837

80.6

0.0129

1,040

1,330

107.2

0.0235

1,833

1,067

HFRP-9-c

89.1

0.0203

1,807

80.6

0.0129

1,040

1,330

79.5

0.0251

1,841

1,067

HFRP-9-d

101.8

0.0193

1,697

80.6

0.0129

1,040

1,330

   

1,067

HFRP-9-e

99.4

0.0171

1,717

80.6

0.0129

1,040

1,330

53.8

0.0233

1,865

1,067

HFRP-9-f

94.5

0.0192

1,986

80.6

0.0129

1,040

1,330

67.2

  

1,067

HFRP-9-g

78.5

0.0201

1,580

80.6

0.0129

1,040

1,330

   

1,067

HFRP-D9-a

84.4

0.0187

1,645

80.6

0.0129

1,040

1,330

36.2

0.0192

1,715

1,067

HFRP-D9-b

92.3

0.0162

1,149

80.6

0.0129

1,040

1,330

20.6

0.0222

1,560

1,067

HFRP-D9-c

82.9

0.0223

1,548

80.6

0.0129

1,040

1,330

   

1,067

Average

89.4

0.0195

1,674

80.6

0.0129

1,040

1,330

65.3

0.023

1,763

1,067

HFRP-10-a

73.8

0.0209

1,544

79.4

0.0129

1,024

1,317

   

1,078

HFRP-10-b

74.7

0.021

1,568

79.4

0.0129

1,024

1,317

100.8

  

1,078

HFRP-10-c

70.2

0.0205

1,439

79.4

0.0129

1,024

1,317

   

1,078

HFRP-D10-a

86.5

0.0187

1,621

79.4

0.0129

1,024

1,317

   

1,078

HFRP-D10-b

85

0.0171

1,396

79.4

0.0129

1,024

1,317

66.7

0.0205

1,494

1,078

HFRP-D10-c

88.3

0.0143

1,305

79.4

0.0129

1,024

1,317

   

1,078

Average

79.8

0.0188

1,479

79.4

0.0129

1,024

1,317

83.8

0.0205

1,494

1,078

  1. 1 → (GF/CF = 1/1); 2 → (GF/CF = 2/1); 3 → (GF/CF = 3/1); 4 → (GF/CF = 4/1); 5 → (GF/CF = 5.1/1); 6 → (GF/CF = 6.1/1); 7 → (GF/CF = 7.1/1); 8 → (GF/CF = 8.1/1); 9 → (GF/CF = 9.1/1); 10 → (GF/CF = 10.1/1).
  2. HFRP hybrid FRP sheet, D ductile K type epoxy.
  3. E HF elastic modulus of hybrid FRP sheet; σ u_C_HF stress at CF rupture of hybrid FRP sheet; ε u_C_HF strain at CF rupture of hybrid FRP sheet; E * GF average increase in stress of hybrid FRP sheet after CF rupture divided by increase in strain; σ u_G_HF stress at GF rupture of hybrid FRP sheet; ε u_G_HF strain at GF rupture of hybrid FRP sheet.
  4. aBased on the rule of mixtures.
  5. bBased on the rule of hybrid mixtures (Miwa and Horiba 1994).
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