Table 9 Weibull distribution parameters.

From: Predicting the strengths of date fiber reinforced concrete subjected to elevated temperature using artificial neural network, and Weibull distribution

Residual Strength (Fc) (MPa)

Relative Strength (Rs) (%)

Weibull Distribution Parameters

Mixes

Fc (MPa)

Ln(Fc)

Mixes

Rs (%)

Ln(Rs)

Rank

PJ

Ln(1/PJ)

Ln(Ln(1/PJ))

M1D5S-400

66.69

4.200

M1D10S-400

145.00

4.977

52

0.019

3.970

1.379

M2D5S-400

59.11

4.079

M2D15S-400

138.73

4.933

51

0.038

3.277

1.187

M1D5S-200

58.12

4.063

M1D10S-200

131.36

4.878

50

0.057

2.872

1.055

M2D10S-400

57.43

4.051

M1D5S-400

129.02

4.860

49

0.075

2.584

0.949

M2D5S-200

56.45

4.033

M3D15S-400

122.85

4.811

48

0.094

2.361

0.859

M2D10S-200

54.98

4.007

M3D10S-200

120.81

4.794

47

0.113

2.179

0.779

M1D5S-400

54.03

3.990

M3D5S-200

118.38

4.774

46

0.132

2.024

0.705

M1D10S-400

52.92

3.969

M2D5S-400

118.34

4.774

45

0.151

1.891

0.637

M0D0S-400

50.90

3.930

M1D5S-400

118.02

4.771

44

0.170

1.773

0.573

M1D5S-200

49.24

3.897

M2D10S-400

117.61

4.767

43

0.189

1.668

0.511

M1D0S-400

47.62

3.863

M3D15S-200

117.10

4.763

42

0.208

1.572

0.453

M1D10S-200

47.01

3.850

M0D0S-400

116.14

4.755

41

0.226

1.485

0.396

M3D10S-200

46.27

3.834

M2D15S-200

114.91

4.744

40

0.245

1.405

0.340

M2D15S-400

45.52

3.818

M1D0S-400

112.88

4.726

39

0.264

1.331

0.286

M0D0S-200

45.26

3.812

M2D0S-400

112.61

4.724

38

0.283

1.262

0.233

M1D0S-200

44.36

3.792

M2D5S-200

112.20

4.720

37

0.302

1.198

0.180

M3D5S-200

43.96

3.783

M2D10S-200

111.96

4.718

36

0.321

1.137

0.128

M3D5S-400

40.83

3.709

M3D5S-400

111.16

4.711

35

0.340

1.080

0.077

M2D0S-400

40.07

3.691

M2D0S-200

110.53

4.705

34

0.358

1.026

0.026

M2D0S-200

39.17

3.668

M1D5S-200

109.23

4.693

33

0.377

0.975

− 0.026

M3D10S-400

36.50

3.597

M1D5S-200

106.96

4.672

32

0.396

0.926

− 0.077

M3D15S-400

36.46

3.596

M1D0S-200

105.36

4.657

31

0.415

0.879

− 0.129

M2D15S-200

35.20

3.561

M0D0S-200

103.12

4.636

30

0.434

0.835

− 0.181

M3D15S-200

33.97

3.525

M3D10S-400

98.26

4.588

29

0.453

0.792

− 0.233

M3D0S-200

33.29

3.505

M3D0S-200

96.01

4.564

28

0.472

0.751

− 0.286

M0D0S-600

31.44

3.448

M0D0S-600

71.22

4.266

27

0.491

0.712

− 0.339

M2D5S-600

30.07

3.404

M3D15S-600

71.04

4.263

26

0.509

0.674

− 0.394

M1D5S-600

27.72

3.322

M2D15S-600

68.47

4.226

25

0.528

0.638

− 0.449

M1D5S-600

26.39

3.273

M2D0S-600

67.87

4.218

24

0.547

0.603

− 0.506

M0D0S-800

23.38

3.152

M3D5S-600

66.56

4.198

23

0.566

0.569

− 0.564

M1D0S-600

21.65

3.075

M3D0S-400

65.84

4.187

22

0.585

0.536

− 0.623

M3D5S-600

21.51

3.069

M3D15S-800

59.25

4.082

21

0.604

0.505

− 0.684

M2D10S-600

21.47

3.067

M3D10S-600

58.14

4.063

20

0.623

0.474

− 0.747

M2D0S-600

20.69

3.030

M1D10S-600

55.58

4.018

19

0.642

0.444

− 0.812

M3D0S-400

20.22

3.007

M2D0S-800

54.46

3.998

18

0.660

0.415

− 0.880

M3D10S-600

19.12

2.951

M1D5S-600

54.22

3.993

17

0.679

0.387

− 0.950

M1D5S-800

17.96

2.888

M3D0S-600

53.31

3.976

16

0.698

0.359

− 1.023

M1D0S-800

16.08

2.778

M1D0S-600

52.94

3.969

15

0.717

0.333

− 1.100

M2D15S-600

15.08

2.713

M0D0S-800

52.62

3.963

14

0.736

0.307

− 1.182

M2D0S-800

14.88

2.700

M2D5S-600

51.30

3.938

13

0.755

0.281

− 1.268

M3D0S-600

14.79

2.694

M2D15S-800

50.60

3.924

12

0.774

0.257

− 1.360

M1D10S-600

14.18

2.652

M3D0S-800

44.44

3.794

11

0.792

0.233

− 1.458

M1D5S-800

14.15

2.650

M1D10S-800

42.26

3.744

10

0.811

0.209

− 1.565

M3D15S-600

14.02

2.640

M3D5S-800

40.24

3.695

9

0.830

0.186

− 1.681

M2D5S-800

13.17

2.578

M1D0S-800

40.07

3.691

8

0.849

0.164

− 1.810

M2D10S-800

12.91

2.558

M1D5S-600

39.06

3.665

7

0.868

0.142

− 1.954

M3D0S-800

10.95

2.393

M3D10S-800

38.33

3.646

6

0.887

0.120

− 2.119

M3D10S-800

10.54

2.355

M1D5S-800

34.76

3.548

5

0.906

0.099

− 2.312

M3D5S-800

10.11

2.314

M2D10S-600

34.60

3.544

4

0.925

0.078

− 2.545

M3D15S-800

8.91

2.187

M2D10S-800

14.84

2.698

3

0.943

0.058

− 2.843

M1D10S-800

8.41

2.129

M2D5S-800

12.30

2.509

2

0.962

0.038

− 3.258

M2D15S-800

7.34

1.993

M1D5S-800

7.73

2.046

1

0.981

0.019

− 3.961