Hoja de Calculo Triaxial

HOJA DE CALCULO ENSAYO 1

10 PSI

0.70306955 Kg/cm2

PROBETAS

1

2

3

DIAMETRO

3.7

3.84

3.8

Ao

11.22

cm2

ALTURA (Lo)

8.00

8.00

8.00

Lo

8.00

cm

Ao

10.75

11.58

11.34

σ3

10 10

psi

F (Kgf)=0.0000000000000119598*C14^60.00000000002632968*C14^5+0.00000001971149*C14^40.000005253579*C14^3+0.000268137*C14^2+0.1931942*C14+1.30165 LECT LECTUR URA A DIAL DIAL

LECT LECTUR URA A∆

F (Kgf)

0.0

0

8.5

ΔLx0.001(cm)

L (cm)

ε=ΔL /L

A=A0/(1 -ε)

σd=F/A

1.30

0

8.00

0.0000

11.22

0.116

50

2.96

0.05

7.95

0.0063

11.30

0.262

11.0

100

3.45

0.1

7.90

0.0127

11.37

0.304

13.0

150

3.85

0.15

7.85

0.0191

11.44

0.336

15.0

200

4.24

0.2

7.80

0.0256

11.52

0.368

17.0

250

4.64

0.25

7.75

0.0323

11.60

0.400

19.0

300

5.04

0.3

7.70

0.0390

11.68

0.431

20.0

350

5.23

0.35

7.65

0.0458

11.76

0.445

21.0

400

5.43

0.4

7.60

0.0526

11.85

0.458

22.5

450

5.73

0.45

7.55

0.0596

11.94

0.480

23.0

500

5.83

0.5

7.50

0.0667

12.03

0.485

25.0

550

6.22

0.55

7.45

0.0738

12.12

0.514

26.5

600

6.52

0.6

7.40

0.0811

12.22

0.534

27.5

650

6.72

0.65

7.35

0.0884

12.31

0.546

28.5

700

6.92

0.7

7.30

0.0959

12.42

0.557

30.0

750

7.21

0.75

7.25

0.1034

12.52

0.576

31.0

800

7.41

0.8

7.20

0.1111

12.63

0.587

33.5

850

7.90

0.85

7.15

0.1189

12.74

0.620

35.5

900

8.29

0.9

7.10

0.1268

12.85

0.645

36.5

950

8.49

0.95

7.05

0.1348

12.97

0.654

37.5

1000

8.68

1

7.00

0.1429

13.10

0.663

38.5

1050

8.88

1.05

6.95

0.1511

13.22

0.671

39.5

1100

9.07

1.1

6.90

0.1594

13.35

0.679

40.5

1150

9.27

1.15

6.85

0.1679

13.49

0.687

41.5

1200

9.46

1.2

6.80

0.1765

13.63

0.694

42.5

1250

9.65

1.25

6.75

0.1852

13.78

0.701

44.0

1300

9.94

1.3

6.70

0.1940

13.93

0.714

45.0

1350

10.14

1.35

6.65

0.2030

14.08

0.720

46.0

1400

10.33

1.4

6.60

0.2121

14.25

0.725

47.5

1450

10.61

1.45

6.55

0.2214

14.42

0.736

48.0

1500

10.71

1.5

6.50

0.2308

14.59

0.734

49.0

1550

10.90

1.55

6.45

0.2403

14.78

0.738

50.0

1600

11.09

1.6

6.40

0.2500

14.97

0.741

51.0

1650

11.28

1.65

6.35

0.2598

15.17

0.744

52.0

1700

11.47

1.7

6.30

0.2698

15.37

0.746

53.0

1750

11.66

1.75

6.25

0.2800

15.59

0.748

51.5

1800

11.37

1.8

6.20

0.2903

15.82

0.719

52.5

1850

11.56

1.85

6.15

0.3008

16.05

0.720

54.0

1900

11.84

1.9

6.10

0.3115

16.30

0.727

55.0

1950

12.03

1.95

6.05

0.3223

16.56

0.726

σd=

0. 74 7477

Kg/cm2

σ3=

0.703

Kg/cm2

σ1=

1. 45 4507

Kg/cm2

Ơ3 Kg Kg/c /cm2 m2 Ơ1 Kg/ Kg/cm cm2 2 0.70306955 0.819 0.70306955 0.965 0.70306955 1.007 0.70306955 1.039 0.70306955 1.071 0.70306955 1.103 0.70306955 1.134 0.70306955 1.148 0.70306955 1.162 0.70306955 1.183 0.70306955 1.188 0.70306955 1.217 0.70306955 1.237 0.70306955 1.249 0.70306955 1.260 0.70306955 1.279 0.70306955 1.290 0.70306955 1.323 0.70306955 1.348 0.70306955 1.357 0.70306955 1.366 0.70306955 1.375 0.70306955 1.383 0.70306955 1.390 0.70306955 1.397 0.70306955 1.404 0.70306955 1.417 0.70306955 1.423 0.70306955 1.428 0.70306955 1.439 0.70306955 1.437 0.70306955 1.441 0.70306955 1.444 0.70306955 1.447 0.70306955 1.449 0.70306955 1.451 0.70306955 1.422 0.70306955 1.423 0.70306955 1.430 0.70306955 1.429

GRÁFICO 1: ESFUERZO - DEFORMACIÓN UNITARIA 0.800 0.700 ) 0.600 2 m0.500 c / 0.400 g K ( 0.300 d σ 0.200 0.100 0.000 0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500

ε

GRÁFICO 1: ESFUERZO - DEFORMACIÓN UNITARIA 0.800 0.700 ) 0.600 2 m0.500 c / 0.400 g K ( d 0.300 σ 0.200 0.100 0.000 0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

ε

ENSAYO 2

20 PSI

1.4061 Kg/cm2

PROBETAS

1

2

3

DIAMETRO

3.89

3.88

3.89

Ao

11.86

cm2

ALTURA (Lo)

8.17

8.15

8.18

Lo

8.17

cm

Ao

11.88

11.82

11.88

σ3

20

psi

σd=

0.8630 Kg/cm2

σ3=

1.406 Kg/cm2

σ1=

2.2690 Kg/cm2

F (Kgf)=0.0000000000000119598*C14^60.00000000002632968*C14^5+0.00000001971149*C14^40.000005253579*C14^3+0.000268137*C14^2+0.1931942*C14+1.30165

0.3500

LECTURA

LECTURA ∆

F (Kgf)

ΔLx0.001(cm)

L (cm)

0.00

0

14.00 20.00

1.30

0

50 100

4.05 5.23

24.00

150

27.50

Ơ3 Kg/cm2 Ơ1 Kg/cm2

ε=ΔL /L

A=A0/(1-ε)

σd=F/A

8.17

0.0000

11.86

0.110

1.4061

1.516

0.05 0.1

8.12 8.07

0.0062 0.0124

11.94 12.01

0.339 0.436

1.4061 1.4061

1.745 1.842

6.03

0.15

8.02

0.0187

12.09

0.498

1.4061

1.905

200

6.72

0.2

7.97

0.0251

12.17

0.552

1.4061

1.958

30.00

250

7.21

0.25

7.92

0.0316

12.25

0.589

1.4061

1.995

32.50 34.00

300 350

7.70 8.00

0.3 0.35

7.87 7.82

0.0381 0.0448

12.33 12.42

0.625 0.644

1.4061 1.4061

2.031 2.050

36.00

400

8.39

0.4

7.77

0.0515

12.51

0.671

1.4061

2.077

38.00

450

8.78

0.45

7.72

0.0583

12.60

0.697

1.4061

2.103

39.00

500

8.98

0.5

7.67

0.0652

12.69

0.707

1.4061

2.113

41.00 42.50

550 600

9.36 9.65

0.55 0.6

7.62 7.57

0.0722 0.0793

12.79 12.89

0.732 0.749

1.4061 1.4061

2.138 2.155

44.50

650

10.04

0.65

7.52

0.0865

12.99

0.773

1.4061

2.179

47.00

700

10.52

0.7

7.47

0.0938

13.09

0.803

1.4061

2.210

48.00

750

10.71

0.75

7.42

0.1011

13.20

0.811

1.4061

2.218

48.50

800

10.81

0.8

7.37

0.1086

13.31

0.812

1.4061

2.218

50.00 50.50

850 900

11.09 11.18

0.85 0.9

7.32 7.27

0.1162 0.1239

13.42 13.54

0.826 0.826

1.4061 1.4061

2.232 2.232

52.50

950

11.56

0.95

7.22

0.1316

13.66

0.846

1.4061

2.252

53.00

1000

11.66

1

7.17

0.1395

13.79

0.845

1.4061

2.252

54.50

1050

11.94

1.05

7.12

0.1475

13.92

0.858

1.4061

2.264

55.00 56.00

1100 1150

12.03 12.22

1.1 1.15

7.07 7.02

0.1557 0.1639

14.05 14.19

0.856 0.861

1.4061 1.4061

2.262 2.267

56.00

1200

12.22

1.2

6.97

0.1722

14.33

0.852

1.4061

2.259

57.50

1250

12.50

1.25

6.92

0.1807

14.48

0.863

1.4061

2.269

58.00

1300

12.59

1.3

6.87

0.1893

14.64

0.860

1.4061

2.266

58.50 59.00

1350 1400

12.68 12.78

1.35 1.4

6.82 6.77

0.1980 0.2069

14.79 14.96

0.857 0.854

1.4061 1.4061

2.263 2.260

59.50

1450

12.87

1.45

6.72

0.2159

15.13

0.850

1.4061

2.257

60.00

1500

12.96

1.5

6.67

0.2250

15.31

0.847

1.4061

2.253

60.00

1550

12.96

1.55

6.62

0.2343

15.49

0.836

1.4061

2.243

60.00

1600

12.96

1.6

6.57

0.2437

15.69

0.826

1.4061

2.232

61.00 61.50

1650 1700

13.14 13.23

1.65 1.7

6.52 6.47

0.2532 0.2629

15.89 16.10

0.827 0.822

1.4061 1.4061

2.233 2.228

61.50

1750

13.23

1.75

6.42

0.2727

16.31

0.811

1.4061

2.217

61.50

1800

13.23

1.8

6.37

0.2827

16.54

0.800

1.4061

2.206

61.50

1850

13.23

1.85

6.32

0.2929

16.78

0.789

1.4061

2.195

DIAL

GRÁFICO : ESFUERZO - DEFORMACIÓN UNITARIA 1.000 0.800

) 2 m0.600 c / g K ( 0.400 d σ

0.200 0.000 0.0000

0.0500

0.1000

0.1500

0.2000 ε

0.2500

0.3000

0.3500

GRÁFICO : ESFUERZO - DEFORMACIÓN UNITARIA 1.000 0.900 0.800 0.700

) 2 0.600 m c / 0.500 g K ( d 0.400 σ

0.300 0.200 0.100 0.000 0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500

ε

ENSAYO 3

30 PSI

2.1092086 Kg/cm2

PROBETAS

1

2

3

DIAMETRO

3.9

3.92

3.91

Ao

12.01

cm2

ALTURA (Lo)

8

8

8

Lo

8.00

cm

Ao

11.95

12.07

12.01

σ3

30

psi

GRÁFICO 3: ESFUERZO - DEFORMACIÓN UNITARIA 1.2000 ) 1.0000 2 m0.8000 c / 0.6000 g K ( 0.4000 d σ 0.2000 0.0000 0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.35

0.4

ε

GRÁFICO 3: ESFUERZO - DEFORMACIÓN UNITARIA 1.2000 1.0000 ) 2 0.8000 m c / 0.6000 g K ( d 0.4000 σ

0.2000 0.0000 0

0.05

0.1

0.15

0.2 ε

0.25

0.3

LECTURA DIAL

LECTURA ∆

F (Kgf)

0.00

0

1.30

15.00

50

22.50

ΔLx0.001

Ơ3 Kg/cm2

Ơ1 Kg/cm2

L (cm)

ε=ΔL /L

A=A0 /(1-ε)

σd=F/A

0.00

8.00

0

12.01

0.1084

2.1092

2.218

4.24

0.05

7.95

0.0063

12.08

0.3512

2.1092

2.460

100

5.73

0.10

7.90

0.0127

12.16

0.4711

2.1092

2.580

27.00

150

6.62

0.15

7.85

0.0191

12.24

0.5408

2.1092

2.650

30.00

200

7.21

0.20

7.80

0.0256

12.32

0.5853

2.1092

2.694

35.00

250

8.19

0.25

7.75

0.0323

12.41

0.6605

2.1092

2.770

37.00

300

8.59

0.30

7.70

0.0390

12.49

0.6872

2.1092

2.796

39.00

350

8.98

0.35

7.65

0.0458

12.58

0.7133

2.1092

2.823

42.00

400

9.56

0.40

7.60

0.0526

12.67

0.7541

2.1092

2.863

44.00

450

9.94

0.45

7.55

0.0596

12.77

0.7788

2.1092

2.888

46.00

500

10.33

0.50

7.50

0.0667

12.86

0.8028

2.1092

2.912

47.00

550

10.52

0.55

7.45

0.0738

12.96

0.8114

2.1092

2.921

49.00

600

10.90

0.60

7.40

0.0811

13.07

0.8342

2.1092

2.943

51.00

650

11.28

0.65

7.35

0.0884

13.17

0.8563

2.1092

2.966

52.00

700

11.47

0.70

7.30

0.0959

13.28

0.8635

2.1092

2.973

54.00

750

11.84

0.75

7.25

0.1034

13.39

0.8844

2.1092

2.994

55.00

800

12.03

0.80

7.20

0.1111

13.51

0.8907

2.1092

3.000

56.00

850

12.22

0.85

7.15

0.1189

13.63

0.8966

2.1092

3.006

58.00

900

12.59

0.90

7.10

0.1268

13.75

0.9156

2.1092

3.025

59.00

950

12.78

0.95

7.05

0.1348

13.88

0.9206

2.1092

3.030

60.00

1000

12.96

1.00

7.00

0.1429

14.01

0.9251

2.1092

3.034

61.00

1050

13.14

1.05

6.95

0.1511

14.14

0.9292

2.1092

3.038

62.00

1100

13.33

1.10

6.90

0.1594

14.28

0.9329

2.1092

3.042

63.00

1150

13.51

1.15

6.85

0.1679

14.43

0.9362

2.1092

3.045

64.00

1200

13.69

1.20

6.80

0.1765

14.58

0.9390

2.1092

3.048

65.00

1250

13.87

1.25

6.75

0.1852

14.74

0.9413

2.1092

3.051

66.00

1300

14.05

1.30

6.70

0.1940

14.90

0.9432

2.1092

3.052

67.00

1350

14.23

1.35

6.65

0.2030

15.07

0.9447

2.1092

3.054

68.00

1400

14.41

1.40

6.60

0.2121

15.24

0.9456

2.1092

3.055

69.00

1450

14.59

1.45

6.55

0.2214

15.42

0.9461

2.1092

3.055

71.00

1500

14.94

1.50

6.50

0.2308

15.61

0.9574

2.1092

3.067

72.00

1550

15.12

1.55

6.45

0.2403

15.81

0.9567

2.1092

3.066

72.50

1600

15.21

1.60

6.40

0.2500

16.01

0.9500

2.1092

3.059

73.00

1650

15.30

1.65

6.35

0.2598

16.22

0.9429

2.1092

3.052

74.00

1700

15.47

1.70

6.30

0.2698

16.44

0.9409

2.1092

3.050

75.00

1750

15.65

1.75

6.25

0.2800

16.68

0.9382

2.1092

3.047

76.00

1800

15.82

1.80

6.20

0.2903

16.92

0.9350

2.1092

3.044

76.00

1850

15.82

1.85

6.15

0.3008

17.17

0.9212

2.1092

3.030

76.00

1900

15.82

1.90

6.10

0.3115

17.44

0.9072

2.1092

3.016

75.50

1950

15.73

1.95

6.05

0.3223

17.72

0.8880

2.1092

2.997

75.50

2000

15.73

2.00

6.00

0.3333

18.01

0.8735

2.1092

2.983

75.00

2050

15.65

2.05

5.95

0.3445

18.32

0.8541

2.1092

2.963

σd=

0.9574

Kg/cm2

σ3=

2.109

Kg/cm2

σ1=

3.0664

Kg/cm2

(cm)

ENSAYO 4

40 PSI

2.81228 Kg/cm2

PROBETAS

1

2

3

DIAMETRO

3.89

3.9

3.88

Ao

11.88

cm2

ALTURA (Lo)

8.05

8.07

8.05

Lo

8.06

cm

Ao

11.88

11.95

11.82

σ3

40

psi

ΔLx0.001

LECTURA DIAL

LECTURA ∆

F (Kgf)

0 23

0 50

1.302 5.828

0 0.05

31

100

7.409

35 41

150 200

44

Ơ1 Kg/cm2

A=A0/(1-ε)

σd=F/A

8.06 8.01

0.0000 0.0062

11.88 11.96

0.1095 0.4873

2.8123 2.8123

2.922 3.300

0.1

7.96

0.0126

12.04

0.6156

2.8123

3.428

8.195 9.364

0.15 0.2

7.91 7.86

0.0190 0.0255

12.11 12.20

0.6764 0.7678

2.8123 2.8123

3.489 3.580

250

9.943

0.25

7.81

0.0320

12.28

0.8099

2.8123

3.622

47.5

300

10.614

0.3

7.76

0.0387

12.36

0.8586

2.8123

3.671

51

350

11.280

0.35

7.71

0.0454

12.45

0.9060

2.8123

3.718

53.5

400

11.751

0.4

7.66

0.0522

12.54

0.9371

2.8123

3.749

56.5

450

12.312

0.45

7.61

0.0592

12.63

0.9746

2.8123

3.787

59

500

12.775

0.5

7.56

0.0662

12.73

1.0038

2.8123

3.816

61

550

13.143

0.55

7.51

0.0733

12.82

1.0248

2.8123

3.837

63.5

600

13.600

0.6

7.46

0.0805

12.92

1.0522

2.8123

3.864

66 68

650 700

14.052 14.411

0.65 0.7

7.41 7.36

0.0878 0.0952

13.03 13.13

1.0786 1.0972

2.8123 2.8123

3.891 3.909

70

750

14.768

0.75

7.31

0.1026

13.24

1.1150

2.8123

3.927

72 73.5

800 850

15.121 15.385

0.8 0.85

7.26 7.21

0.1102 0.1179

13.36 13.47

1.1321 1.1418

2.8123 2.8123

3.944 3.954

75

900

15.646

0.9

7.16

0.1258

13.59

1.1510

2.8123

3.963

76

950

15.820

0.95

7.11

0.1337

13.72

1.1532

2.8123

3.965

79 79.5

1000 1050

16.337 16.422

1 1.05

7.06 7.01

0.1417 0.1499

13.85 13.98

1.1798 1.1747

2.8123 2.8123

3.992 3.987

79.5 80

1100 1150

16.422 16.508

1.1 1.15

6.96 6.91

0.1581 0.1665

14.12 14.26

1.1633 1.1577

2.8123 2.8123

3.976 3.970

80

1200

16.508

1.2

6.86

0.1750

14.41

1.1459

2.8123

3.958

81

1250

16.678

1.25

6.81

0.1836

14.56

1.1456

2.8123

3.958

82

1300

16.847

1.3

6.76

0.1924

14.72

1.1448

2.8123

3.957

82

1350

16.847

1.35

6.71

0.2013

14.88

1.1322

2.8123

3.944

82.5

1400

16.931

1.4

6.66

0.2103

15.05

1.1250

2.8123

3.937

82.5 83

1450 1500

16.931 17.016

1.45 1.5

6.61 6.56

0.2195 0.2288

15.23 15.41

1.1120 1.1042

2.8123 2.8123

3.924 3.916

83.5 84

1550 1600

17.100 17.184

1.55 1.6

6.51 6.46

0.2382 0.2478

15.60 15.80

1.0960 1.0876

2.8123 2.8123

3.908 3.900

84

1650

17.184

1.65

6.41

0.2575

16.01

1.0735

2.8123

3.886

84

1700

17.184

1.7

6.36

0.2674

16.22

1.0592

2.8123

3.871

83.5

1750

17.100

1.75

6.31

0.2775

16.45

1.0396

2.8123

3.852

83

1800

17.016

1.8

6.26

0.2877

16.68

1.0198

2.8123

3.832

83

1850

17.016

1.85

6.21

0.2981

16.93

1.0050

2.8123

3.817

82.5 82

1900 1950

16.931 16.847

1.9 1.95

6.16 6.11

0.3086 0.3193

17.19 17.46

0.9850 0.9649

2.8123 2.8123

3.797 3.777

82

2000

16.847

2

6.06

0.3302

17.74

0.9494

2.8123

3.762

σd=

1.1798

Kg/cm2

σ3=

2.812

Kg/cm2

σ1=

3.9918

Kg/cm2

L (cm)

Ơ3 Kg/cm2

ε=ΔL/L

(cm)

GRÁFICO 4: ESFUERZO - DEFORMACIÓN UNITARIA 1.4000 1.2000 1.0000

) 2 m0.8000 c / g K 0.6000 ( d σ

0.4000 0.2000 0.0000 0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500

ε

GRÁFICO 4: ESFUERZO - DEFORMACIÓN UNITARIA 1.4000 1.2000 ) 2 1.0000 m c / 0.8000 g K 0.6000 ( d 0.4000 σ 0.2000 0.0000 0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500

ε

Cuadro comparativo

GRÁFICO : ESFUERZO - DEFORMACIÓN UNITARIA 1.400 1.200 1.000 ) 2 m0.800 c / g K ( 0.600 d σ

0.400 0.200 0.000 0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

ε σ3 = 10 PSI

σ3=20 PSI

σ3 = 30 PSI

σ3 =40 PSI

0.3000

0.3500

GRÁFICO : ESFUERZO - DEFORMACIÓN UNITARIA 1.400

1.200

1.000

) 0.800 2 m c / g K ( d σ

0.600

0.400

0.200

0.000 0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

ε σ3 = 10 PSI

σ3=20 PSI

σ3 = 30 PSI

Localizar punto tangente en la línea de Mohr p=( Ơ3 Kg/cm2+ Ơ1 Kg/cm2)/2 q=( Ơ1 Kg/cm2- Ơ3 Kg/cm2)/2

Ơ3 Kg/cm2

Ơ1 Kg/cm2

p

q

ENSAYO 1 0.70306955

1.450778566

1.07692406

0.37385451

ENSAYO 2 1.4061391

2.269131414

1.83763526

0.43149616

ENSAYO 3

3.066622052

2.58791535

0.4787067

3.99208772

3.40218296

0.58990476

2.10920865

ENSAYO 4 2.8122782

σ3 =40 PSI

0.3500

ANGULO

10 PSI

ANGULO (rad)

σ(Kg/cm2)

20 PSI

ῖ(Kg/cm2) σ(Kg/cm2)

30 PSI


40 PSI


ῖ(Kg/cm2)

0.00

0.00

1.46

0.00

2.27

0.00

3.07

0.00

3.99

0.00

10.00

0.17

1.45

0.07

2.26

0.07

3.06

0.08

3.98

0.10

20.00

0.35

1.44

0.13

2.24

0.15

3.04

0.16

3.95

0.20

30.00

0.52

1.41

0.19

2.21

0.22

3.01

0.24

3.91

0.30

40.00

0.70

1.37

0.24

2.17

0.28

2.96

0.31

3.85

0.38

50.00

0.87

1.32

0.29

2.12

0.33

2.90

0.37

3.78

0.45

60.00

1.05

1.27

0.33

2.06

0.37

2.83

0.42

3.70

0.51

70.00

1.22

1.21

0.36

1.99

0.40

2.75

0.45

3.60

0.55

80.00

1.40

1.15

0.37

1.91

0.42

2.67

0.47

3.50

0.58

90.00

1.57

1.08

0.38

1.84

0.43

2.59

0.48

3.40

0.59

100.00

1.75

1.01

0.37

1.77

0.42

2.51

0.47

3.30

0.58

110.00

1.92

0.95

0.36

1.69

0.40

2.43

0.45

3.20

0.55

120.00

2.09

0.89

0.33

1.63

0.37

2.35

0.42

3.11

0.51

130.00

2.27

0.84

0.29

1.56

0.33

2.28

0.37

3.02

0.45

140.00

2.44

0.79

0.24

1.51

0.28

2.22

0.31

2.95

0.38

150.00

2.62

0.75

0.19

1.47

0.22

2.17

0.24

2.89

0.30

160.00

2.79

0.72

0.13

1.44

0.15

2.14

0.16

2.85

0.20

170.00

2.97

0.71

0.07

1.42

0.07

2.12

0.08

2.82

0.10

180.00

3.14

0.70

0.00

1.41

0.00

2.11

0.00

2.81

0.00

CIRCULO DE MOHR 0.70

) 0.60 20.50 m c / 0.40 g0.30 K ( 0.20

τ 0.10

0.00 0.00

0.50

1.00

1.50

2.00

Ơ

2.50

(kg/cm2)

3.00

3.50

4.00

4.50

Chart Title 0.7 0.6

y = 0.0885x + 0.2729 R² = 0.9621

0.5 e 0.4 l t i T s i x A0.3

Series1 Linear (Serie

0.2 0.1 0 0

0.5

1

1.5

2

2.5

3

3.5

4

Axis Title LINEA K Pendiente 0.0885

LINEA φ Intercepto "a"

0.2729

α

Deg

5.05750008

φ Deg

c Kg/cm2

5.07731906

0.273966631

Conclusiones. Redondeando los datos obtenemos un Angulo de “ φ Deg = 5.07731906 ” grados y cohesión de “ c Kg/cm2 = 0.273966631 “

El contenido de humedad

ENSAYO 1

Wrec+suelo hum Wrec+sue sec Wrecipiente %w

ENSAYO 2

ENSAYO 3

ENSAYO 4

La velocidad de ruptura ENSAYO 1( 20 PSI ) 0.01x∆V

∆V (mm)

(mm) 0

∆T (seg)

VELOCIDAD (mm/min) 0

EN SAYO 2 ( 30 PSI ) ∆T (seg)






0.5

0.5

24.37

1.231

30.08

0.997340426

22.62

1.326

29.09

1.031

1

0.5

24.47

1.226

28.58

1.049685094

28.71

1.045

28.87

1.039

1.5

0.5

24.01

1.249

28.32

1.059322034

19.15

1.567

27.76

1.081

2

0.5

24.89

1.205

27.5

1.090909091

24.11

1.244

28.27

1.061

2.5

0.5

28.04

1.070

28.71

1.044932079

24.47

1.226

27.74

1.081

3

0.5

21.39

1.403

27.76

1.080691643

25.09

1.196

29.33

1.023

3.5 4

0.5 0.5

25.93 22.49

1.157 1.334

28.41 29.43

1.055966209 1.019367992

24.09 24.5

1.245 1.224

27.63 27.89

1.086 1.076

4.5

0.5

22.11

1.357

28.52

1.051893408

23.12

1.298

5

0.5

25.89

1.159

28.36

1.057827927

25.06

1.197

5.5

0.5

24.44

1.227

30.27

0.991080278

50.15

0.598

6

0.5

23.29

1.288

46.04

0.652

6.5

0.5

23.52

1.276

27.06

1.109

7

0.5

25.86

1.160

21.63

1.387

7.5

0.5

22.94

1.308

23.21

1.293

8

0.5

24.49

1.225

18.7

1.604

8.5

0.5

23.86

1.257

9 9.5

0.5 0.5

24.13 23.7

1.243 1.266

10

0.5

25.07

1.197

10.5

0.5

23.82

1.259

11

0.5

24.18

1.241

11.5

0.5

23.48

1.278

12

0.5

23.12

1.298

12.5

0.5

24.35

1.232

13

0.5

25.37

1.182

13.5

0.5

22.43

1.337

VELOCIDAD 20psi VELOCIDAD 30psi VELOCIDAD 40psi VELOCIDAD 10psi

1.247 1.045 1.201 1.060

mm/min mm/min mm/min mm/min

Hoja de Calculo Triaxial

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