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LRFD XPILE-LRFD Ver 1.0 For Windows! User's Manual 2016. 05. 씨 이 지 [C E G] 경기도 안양시 동안구 관양로 : 176 1218 관양동 한솔센트럴파크 ( , 2) 전자우편:[email protected] 홈페이지:http://www.ceg4u.com 전화번호:031-383-6864 팩스번호:031-383-2566

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  • LRFD

    XPILE-LRFD Ver 1.0 For Windows!

    User's Manual

    2016. 05.

    [C E G] : 176 1218

    ( , 2):[email protected]:http://www.ceg4u.com

    :031-383-6864:031-383-2566

  • 1 S/W 1

    1. 1

    2. 2

    2.1 2

    2.2 3

    2.3 3

    2.4 4

    2.5 5

    3. 6

    3.1 6

    3.2 6

    4. 7

    5. 7

    2 S/W 8

    1. 8

    3 S/W 13

    1. 13

    1.1 13

    1.2 13

    1.3 14

    1.4 15

  • 1.5 15

    1.6 16

    1.7 17

    1.8 17

    1.9 18

    1.10 18

    1.11 19

    1.12 (2D) 19

    1.13 (3D) 20

    1.14 20

    1.15 21

    2. 3 21

    3. 22

    4. GUI 22

    4 S/W 24

    1. 24

    1.1 24

    1.2 25

    1.3 28

    1.4 ( ) 34

    1.5 35

    2. 36

    2.1 36

    2.2 36

    3. 39

    3.1 39

    3.2 40

    3.3 44

    3.4 46

  • 3.5 52

    3.6 55

    4. 63

    4.1 63

    4.2 66

    5. 72

    5.1 (2D) 72

    5.2 (3D) 76

    6. 80

    7. 83

    7.1 83

    7.2 83

    7.3 84

    8. 85

    8.1 85

    5 S/W 89

    1. 89

    1.1 89

    1.2 (LRFD) 90

    1.2 91

    2. 92

    2.1 (Monte Carlo Simulation) 92

    2.2 94

    3. 98

    3.1 GSL (GNU Science Library) 98

    3.2 99

    3.3 104

    4. 106

    4.1 106

  • 4.2 108

    4.3 (Gauss Elimination) 109

    5. 115

    5.1 116

    5.2 122

    6. 126

    6.1 126

    6.2 130

    7. 130

    7.1 130

    7.2 134

    8. 136

    8.1 136

    8.2 137

    6 140

  • 1 S/W 1

    1.1 1

    1.2 2

    1.3 3

    1.5 5

    1.6 5

    1.7 6

    1.8 7

    2 S/W 8

    3 S/W 13

    3.1 13

    3.2 14

    3.3 14

    3.4 15

    3.5 16

    3.6 16

    3.7 17

    3.8 17

    3.9 18

    3.10 18

    3.11 19

    3.12 (2D) 19

    3.13 (3D) 20

    3.14 20

    3.15 21

    3.16 3 22

  • 3.17 Visual Studio Delphi XE 23

    4 S/W 24

    4.1 24

    4.2 25

    4.3 26

    4.4 28

    4.5 3D ( ) 34

    4.6 35

    4.7 36

    4.8 37

    4.9 38

    4.10 38

    4.11 39

    4.12 40

    4.13 41

    4.14 42

    4.15 42

    4.16 43

    4.17 45

    4.18 46

    4.19 47

    4.20 47

    4.21 48

    4.22 48

    4.23 50

    4.24 51

    4.25 51

    4.26 52

    4.27 53

    4.28 53

    4.29 54

    4.30 54

    4.31 55

    4.32 56

    4.33 - 56

  • 4.34 57

    4.35 58

    4.36 58

    4.37 59

    4.38 - 59

    4.39 - 60

    4.40 - SPT 61

    4.41 - CIP 62

    4.42 63

    4.43 63

    4.44 64

    4.45 64

    4.46 65

    4.47 66

    4.48 67

    4.49 68

    4.50 68

    4.51 69

    4.52 70

    4.53 70

    4.54 70

    4.55 70

    4.56 70

    4.57 71

    4.58 71

    4.59 72

    4.60 (2D) 72

    4.61 73

    4.62 73

    4.63 74

    4.64 74

    4.65 75

    4.66 75

    4.67 (3D) 76

    4.68 77

    4.69 77

  • 4.70 78

    4.71 79

    4.72 79

    4.73 80

    4.74 80

    4.75 81

    4.76 81

    4.77 83

    4.78 84

    4.79 84

    4.80 85

    4.81 - General 86

    4.82 - Canvas 87

    4.83 87

    4.84 - Color 88

    5 S/W 89

    5.1 90

    5.2 91

    5.3 (inverse transformation technique) 93

    5.4 (S), (R), (S-R) (PDF) 94

    5.5 95

    5.6 96

    5.7 99

    5.8 100

    5.9 100

    5.10 101

    5.11 102

    5.12 103

    5.13 103

    5.14 P-P Plot 105

    5.15 Q-Q Plot 105

    5.16 107

    5.17 116

    5.18 OCR 117

    5.19 118

  • 5.20 119

    5.21 Boussinesq (Sowers, 1979) 127

    5.22 (Duncan Buchignani, 1976) 128

    5.23 133

    5.24 (Tomlinson, 1987) 133

  • 1 S/W 1

    2 S/W 8

    3 S/W 13

    4 S/W 24

    4.1 27

    4.2 27

    4.3 27

    4.4 27

    4.5 28

    4.6 29

    4.7 30

    4.8 30

    4.9 31

    4.10 32

    4.11 33

    4.12 33

    4.13 82

    5 S/W 89

    5.1 GSL 98

    5.2 1 111

    5.3 122

    5.4 () 124

    5.5 125

  • 5.6 126

    5.7 (1982) Bowles(1988)

    129

    5.8 (EPRI, 1983) 130

    5.9 132

    5.10 134

    5.11 135

    5.12 138

  • 1 XPILE-LRFD Ver 1.0 Windows!

    1

    XPILE - LRFD Ver 1.0 For Windows!S/W

    1.

    .

    (reliability index)

    .

    ,

    LRFD

    XPILE - LRFD Ver 1.0 For Windows! - .

    1.1

  • 1 S/W 2

    2.

    2.1

    , , , , , .

    , , , , ,

    . ,

    .

    1.2

    2.2

    .

    .

  • 3 XPILE-LRFD Ver 1.0 Windows!

    1.3

    2.3

    .

    . ,

    , , SPT , CIP .

    ,

    .

    - -

  • 1 S/W 4

    - - SPT

    - CIP

    1.4

    2.4

    . ,

    .

    .

    , .

    .

  • 5 XPILE-LRFD Ver 1.0 Windows!

    1.5

    2.5

    .

    , .pdf

    .

    1.6

  • 1 S/W 6

    3.

    3.1

    XPILE - LRFD Ver 1.0 For Windows! - .

    1.7

    3.2

    XPILE - LRFD Ver 1.0 For Windows! -

    .

  • 7 XPILE-LRFD Ver 1.0 Windows!

    1.8

    4.

    XPILE - LRFD Ver 1.0 For Windows!

    [ : http://www.ceg4u.com ]

    .

    .

    5.

    : Delphi XE7 + Visual Studio 2010

    : Windows 8

    : 1280 X 1024

    : Windows (XP, Vista, 7, 8, 10)

    : 1280 X 1024 , 1280 X 1024

  • 2 S/W 8

    2

    XPILE - LRFD Ver 1.0 For Windows!S/W

    CD

    CD .

  • 9 XPILE-LRFD Ver 1.0 Windows!

    Welcome to the LRFD Setup Wizard

    Next > .

    XPILE - LRFD Next >

    . HASP Key , HASP Key

    .

  • 2 S/W 10

    XPILE - LRFD program Next> .

    Next > .

  • 11 XPILE-LRFD Ver 1.0 Windows!

    Desktop Icon Next >

    .

    . XPILE - LRFD

    Install .

  • 2 S/W 12

    Install .

    Finish .

  • 13 XPILE-LRFD Ver 1.0 Windows!

    3

    XPILE - LRFD Ver 1.0 For Windows!S/W

    1 .

    1.1

    .

    .

    , .

    3.1

  • 3 S/W 14

    1.2

    .

    , ,

    .

    3.2

    1.3

    .

    , .

    3.3

  • 15 XPILE-LRFD Ver 1.0 Windows!

    1.4

    .

    ,

    .

    .

    3.4

    1.5

    , .

  • 3 S/W 16

    3.5

    1.6

    .

    , ,

    .

    .

    3.6

  • 17 XPILE-LRFD Ver 1.0 Windows!

    1.7

    . ,

    2 5 .

    3.7

    1.8

    .

    .

    .

    3.8

  • 3 S/W 18

    1.9

    .

    , . .

    3.9

    1.10

    , .

    , .pdf .

    3.10

  • 19 XPILE-LRFD Ver 1.0 Windows!

    1.11

    .

    .

    3.11

    1.12 (2D)

    .

    ,

    . 2D .

    3.12 (2D)

  • 3 S/W 20

    1.13 (3D)

    3D 3 , 3D

    3D .

    3.13 (3D)

    1.14

    .

    .

    3.14

  • 21 XPILE-LRFD Ver 1.0 Windows!

    1.15

    .

    .

    .

    3.15

    2 . 3

    3D . 3D .

    ,

    .

  • 3 S/W 22

    3.16 3

    3.

    .

    4. GUI

    Visual Studio C++

    .

    .

  • 23 XPILE-LRFD Ver 1.0 Windows!

    3.17 Visual Studio Delphi XE

    RAD(Rapid application Development)

    .

    . ,

    .

    . ,

    , .

    .

    .

    , ,

    . ,

    . ,

    .

    . , ,

    .

    .

  • 4 S/W 24

    4

    XPILE - LRFD Ver 1.0 For Windows!S/W

    1.

    1.1

    . , , ,

    ( ) .

    ,

    . ( ) .

    4.1

  • 25 XPILE-LRFD Ver 1.0 Windows!

    1.2

    , .

    (1)

    4.2

    :

    :

    :

    :

    :

    :

    :

    :

    :

    :

  • 4 S/W 26

    :

    :

    :

    :

    :

    :

    :

    :

    :

    :

    :

    (2)

    4.3

  • 27 XPILE-LRFD Ver 1.0 Windows!

    4.1

    4.2

    4.3

    4.4

    (2D) 2D

    (3D) 3D

  • 4 S/W 28

    4.5

    1.3

    , , ,

    , , .

    . Name Property .

    4.4

    (1)

    . Name .

    Property , ,

    . .

  • 29 XPILE-LRFD Ver 1.0 Windows!

    4.6

    Name Property

    Code

    Name

    Client

    Manager

    Engineer

    Supervisor

    Email

    Unit

    (2)

    . Property

    .

    , .

    ON/OFF .

  • 4 S/W 30

    4.7

    Name Property

    SID Sequence IDentification

    SID Sequence IDentification .

    . Description . Volume

    .

    Embankment .

    ON/OFF .

    (3)

    . Property

    .

    , . ON/OFF

    .

    4.8

    Name Property

    .

    SID Sequence IDentification

    .

    .

    X X .

    Y Y .

    Z Z .

  • 31 XPILE-LRFD Ver 1.0 Windows!

    ON/OFF . Boring

    .

    (4)

    . Property

    . , , , , ,

    . .

    ON/OFF .

    4.9

    Name Property

    OX, OY, OZ

    (5)

    . Property

    .

    .

  • 4 S/W 32

    4.10

    Name Property

    Type

    Factor

    X, Y, Z X, Y, Z

    PX, PY, PZ X, Y, Z

    MX, MY, MZ X, Y, Z

    (6)

    . Property

    . .

    .

    .

  • 33 XPILE-LRFD Ver 1.0 Windows!

    4.11

    Name Property

    X X X

    Y Y Y

    (7)

    , , , , ( )

    ( ) .

    4.12

    Name Property

    ON/OFF ON/OFF

    ON/OFF ON/OFF

    ON/OFF ON/OFF

    ON/OFF

  • 4 S/W 34

    1.4 ( )

    3D . 3D

    OpenGL

    . 3

    .

    . 3D 3D

    . N, W, S, E ,

    TOP, BOTTOM, LEFT,

    RIGHT, BACK, FRONT

    . Z

    .

    4.5 3D ( )

  • 35 XPILE-LRFD Ver 1.0 Windows!

    1.5

    ( ) . ( )

    . ,

    . .

    4.6

  • 4 S/W 36

    2 .

    2.1

    .

    .

    .

    .

    .

    4.7

    2.2

    .

    .

    .

  • 37 XPILE-LRFD Ver 1.0 Windows!

    4.8

    :

    :

    : .

    .

    : .

    .

    :

    .

    :

    .

    : .

    (1)

    .

    .

    add group

    . OK .

    .

  • 4 S/W 38

    4.9

    (2)

    .

    add project

    . OK .

    .

    4.10

  • 39 XPILE-LRFD Ver 1.0 Windows!

    3 .

    3.1

    . , OK .

    4.11

    1.

    :

    :

    :

    :

    2.

    :

    :

    :

  • 4 S/W 40

    :

    3.

    :

    :

    Tel :

    Fax

    :

    3.2

    , , ,

    , .

    . 1

    . , , ,

    .

    ,

    .

    .

    4.12

  • 41 XPILE-LRFD Ver 1.0 Windows!

    : .

    : .

    : .

    : .

    : .

    : .

    : .

    (1)

    . , , ,

    .

    4.13

    (2)

    .

    .

  • 4 S/W 42

    4.14

    (3)

    .

    .

    4.15

  • 43 XPILE-LRFD Ver 1.0 Windows!

    4.16

    1.

    :

    :

    2.

    :

    :

    :

    :

    :

    :

    3. :

    4.

    Gamma :

    Gamma Sat :

    Cohesion :

  • 4 S/W 44

    :

    Es :

    :

    5.

    :

    :

    :

    6.

    :

    :

    :

    :

    7.

    :

    3.3

    .

    .

    Design

    . , , , .

    . Foundation Shape

    .

    .

  • 45 XPILE-LRFD Ver 1.0 Windows!

    4.17

    Design :

    .

    Close : .

    1. Foundation Shape :

    Rectangle

    B :

    L :

    D :

    2. Foundation :

    Center

    X : X

    Y : Y

    Z : Z

    Design Level

  • 4 S/W 46

    X : X

    Y : Y

    Z : Z

    DL Offset (m) :

    Color :

    2. Material Property :

    :

    E :

    G :

    Soil ks : ( )

    Unit Weight :

    3.4

    .

    .

    .

    .

    4.18

  • 47 XPILE-LRFD Ver 1.0 Windows!

    (1)

    .

    .

    DB OK

    DB .

    4.19

    4.20

  • 4 S/W 48

    (2)

    . DB

    .

    .

    4.21

    4.22

  • 49 XPILE-LRFD Ver 1.0 Windows!

    1. Basic

    Kind :

    Title :

    2. Section Modulus

    Pipe

    Diameter :

    Thickness :

    Corrosion Thickness :

    H Shape

    Height :

    Width :

    Corrosion Thickness :

    Thickness Web : H Web

    Thickness Flange : H

    3. Section Modulus

    Moment of Inertia (Ix, Iy) :

    Section Modulus (Zx, Zy) :

    4. Pile Shape

    Shape :

    Made Length :

    5. Input Data

    Net Area, An :

    Area, A :

    Skin Length, U :

    Unit weight, w :

    Modulus of elasticity, E :

    6. Allowable Stress

    Tensile, Ta :

  • 4 S/W 50

    Compressive, Aa :

    Bending, Ba :

    Shear, Sa :

    Prestress :

    (3)

    .

    .

    .

    .

    .

    4.23

    .

    .

  • 51 XPILE-LRFD Ver 1.0 Windows!

    4.24

    4.25

    1. margin (m) :

    2. Dia (mm) : -

  • 4 S/W 52

    3. (m) :

    4. :

    5. ( D) :

    6. ( D) :

    7. :

    8. :

    9. :

    3.5

    .

    X, Y .

    .

    4.26

    : .

    : .

    : .

    :

    :

    OK : .

  • 53 XPILE-LRFD Ver 1.0 Windows!

    (1)

    .

    .

    4.27

    (2)

    .

    .

    4.28

  • 4 S/W 54

    4.29

    (3)

    .

    .

    4.30

  • 55 XPILE-LRFD Ver 1.0 Windows!

    4.31

    1. Load Information

    Name :

    Load Factor :

    Color :

    2. Point Load

    X, Y, Z : X, Y, Z

    PX, PY, PZ : X, Y, Z

    MX, MY, MZ : X, Y, Z

    3.6

    .

    . ,

    .

    .

  • 4 S/W 56

    4.32

    (1)

    .

    . .

    4.33 -

  • 57 XPILE-LRFD Ver 1.0 Windows!

    -

    1. : ,

    :

    4.34

    Su :

  • 4 S/W 58

    4.35

    2. : ,

    3. :

    sd :

    td :

    qu :

    4. :

    :

    :

    :

    :

    4.36

  • 59 XPILE-LRFD Ver 1.0 Windows!

    4.37

    -

    4.38 -

  • 4 S/W 60

    1. : , ,

    .

    OCR :

    Su :

    , .

    2. :

    :

    :

    :

    :

    -

    4.39 -

    , .

    1. :

  • 61 XPILE-LRFD Ver 1.0 Windows!

    :

    :

    :

    :

    - SPT

    4.40 - SPT

    1.

    N : N .

    2. :

    :

    :

    :

    :

  • 4 S/W 62

    (2)

    .

    .

    4.41 - CIP

    - CIP

    1.

    Su :

    2.

    N60 : N

    3.

    qu :

    E :

    m, s : 4.47

    :

  • 63 XPILE-LRFD Ver 1.0 Windows!

    4.42

    4 .

    4.1

    .

    .

    4.43

    .

    .

  • 4 S/W 64

    4.44

    4.45

  • 65 XPILE-LRFD Ver 1.0 Windows!

    1.

    Fixed :

    Free :

    No Skin Depth :

    Scour Depth :

    Soil kh : ; soilkh

    4.46

    Split Interval:

    Water Weight :

    2.

  • 4 S/W 66

    3.

    4.2

    .

    Start .

    .

    .

    . ,

    .

    . ( 1 )

    4.47

    (1)

    ,

    .

  • 67 XPILE-LRFD Ver 1.0 Windows!

    4.48

    : .

    : .

    : .

    (2)

    .

  • 4 S/W 68

    4.49

    4.50

  • 69 XPILE-LRFD Ver 1.0 Windows!

    1.

    4.51

    :

    (%) :

    (%) :

    :

    :

    method1

    method2

    2.

    . (2), (3),

    (4), (5), (6)

    .

    . ,

    .

  • 4 S/W 70

    4.52

    .

    4.53 4.54

    . .

    .

    4.55 4.56

  • 71 XPILE-LRFD Ver 1.0 Windows!

    4.57

    .

    4.58

    . .

    Q-Q Plot .

  • 4 S/W 72

    4.59

    5 .

    5.1 (2D)

    (2D)

    2

    .

    4.60 (2D)

  • 73 XPILE-LRFD Ver 1.0 Windows!

    (1)

    2D

    .

    .

    .

    4.61

    4.62

  • 4 S/W 74

    .

    .

    .

    4.63

    4.64

    .

  • 75 XPILE-LRFD Ver 1.0 Windows!

    4.65

    (2)

    .

    4.66

  • 4 S/W 76

    5.2 (3D)

    (3D)

    3

    .

    4.67 (3D)

    ON/OFF .

    .

    .

  • 77 XPILE-LRFD Ver 1.0 Windows!

    4.68

    (1)

    .

    .

    4.69

  • 4 S/W 78

    (2)

    .

    4.70

    (3)

    .

  • 79 XPILE-LRFD Ver 1.0 Windows!

    4.71

    (4)

    .

    4.72

  • 4 S/W 80

    4.73

    6 .

    .

    4.74

  • 81 XPILE-LRFD Ver 1.0 Windows!

    (1) .pdf

    .

    .

    4.75

    (2)

    .

    4.76

  • 4 S/W 82

    4.13

    pdf .pdf

  • 83 XPILE-LRFD Ver 1.0 Windows!

    7 .

    7.1

    Hasp key

    .

    .

    .

    .

    4.77

    7.2

    . .

  • 4 S/W 84

    4.78

    7.3

    .

    .

    4.79

  • 85 XPILE-LRFD Ver 1.0 Windows!

    8 .

    8.1

    .

    OK

    .

    4.80

  • 4 S/W 86

    4.81 - General

    1. Boring

    scale :

    2. Vertex Selection

    Allowable Distance :

    3. 3D Scale

    scale : 3D

    4. Grid Translation

    X Translation : 3D X

    Y Translation : 3D Y

    Z Translation : 3D Z

  • 87 XPILE-LRFD Ver 1.0 Windows!

    4.82 - Canvas

    1. Ruller

    Grid intv : ( .)

    2. Light

    Latitude :

    Longitude :

    Height :

    Change Light Position :

    4.83

  • 4 S/W 88

    3. Triangulation

    Element Count :

    DesignLevel arm Length :

    4. Load

    Scale :

    4.84 - Color

    1. Attribute Range

    Minumum Value :

    Maximum Value :

    Safe Value :

    2. Pile

    Color :

    3. Background Gradation

    Start :

    Finish :

  • 89 XPILE-LRFD Ver 1.0 Windows!

    5

    XPILE - LRFD Ver 1.0 For Windows!S/W

    1.

    1.1

    .

    . , , .

    (ultimate limit state: ULS)

    (serviceability limit state: SLS)

    .

    .

    , (safety margin)

    , .

    , .

  • 5 S/W 90

    5.1

    . ( )

    .

    ( )

    . ,

    . ,

    .

    1.2 (LRFD)

    , , ( )

    (calibration) , (target

    reliability) .

    .

    , (resistance factor) R (nominal resistance)

    (load factor)

    (nominal load)

  • 91 XPILE-LRFD Ver 1.0 Windows!

    ( )

    . 1.0 1.0 .

    5.2

    Q R (probability density function, PDF)

    ,

    . , , ,

    (nominal value) .

    1.3

    "

    .

    .

    ,

    .

    .

    , :

    :

    :

    :

    :

  • 5 S/W 92

    2.

    2.1 (Monte Carlo Simulation)

    1)

    . , (

    ) .

    ,

    .

    (MCS) .

    .

    . .

    ,

    . , .

    .

    .

    2) MCS

    (MCS)

    .

    .

    MCS .

    , (indicator function) .

    i f i f

  • 93 XPILE-LRFD Ver 1.0 Windows!

    .

    . , MCS

    . , (ASD)

    ( ) ,

    .

    .

    MCS , ,

    0 1

    (pseudo random number)

    . 0 1 ,

    . (inverse transformation technique) 2.4

    . .

    .

    5.3 (inverse transformation technique)

    ,

  • 5 S/W 94

    .

    2.2

    1)

    (

    , 1999). (limit state) ,

    1) (ultimate limit state), 2)

    (serviceability limit state), 3) (fatigue limit state) .

    ( g, limit state function)

    . (S) (R) .

    ( g > 0 ) ( , g < 0)

    .

    (S) (R) , ( Pf, probability of failure)

    (0) .

    5.4 (S), (R), (S-R) (PDF)

    (reliability index, ) (coefficient of variation, = / ) ,

    (reduced variable)

  • 95 XPILE-LRFD Ver 1.0 Windows!

    .

    5.5

    2)

    , , ,

    , ,

    .

    .

  • 5 S/W 96

    , ( , ) , (reliability

    index) (safety index) . ,

    ( ) . ( )

    .

    , 5.7

    .

    5.6

    .

    , R Q

    ,

    (FDM, finite difference method)

    .

    .

  • 97 XPILE-LRFD Ver 1.0 Windows!

    3)

    Level I, II, III

    . Level I ( , LRFD ) (target reliability index)

    (partial safety factor) .

    Level II (FOSM, SOSM) , ,

    (moment method) .

    Level III (Monte Carlo simulation, MCS)

    , 0 ( , )

    .

    ,

    (simulation method, ) .

  • 5 S/W 98

    3.

    3.1 GSL(GNU Science Library)

    GSL(GNU Scientific Library) C C++

    . GSL GNU GPL(GNU General Public License) .

    , ,

    . (test suit) 1000 .

    . .

    5.1 GSL

    (Complex Numbers) (Roots of Polynomials)

    (Special Functions) (Vectors and Matrices)

    (Permutations) (Sorting)

    BLAS (BLAS Support) (Linear Algebra)

    (Eigensystems)

    (Fast Fourier Transforms)

    (Quadrature) (Random Numbers)

    (Quasi-Random Sequences) (Random Distributions)

    (Statistics) ( , Histograms)

    N- (N-Tuples) (Monte Carlo Integration)

    (Simulated Annealing) (Differential Equations)

    (Interpolation) (Numerical Differentiation)

    (Chebyshev Approximation) (Series Acceleration)

    (Discrete Hankel Transforms) ( , Root-Finding)

    (Minimization) (Least-Squares Fitting)

    (Physical Constants) IEEE (IEEE Floating-Point)

    (Discrete Wavelet Transforms) (Basis splines)

  • 99 XPILE-LRFD Ver 1.0 Windows!

    3.2

    1) (normal distribution)

    ,

    ( )

    . ( ) , m : 68.3%, m2 :

    95.9%, m3 : 99.7%, m3 0.3%

    .

    Probability density function Cumulative distribution function

    5.7

    2) (log-normal distribution)

    x ( , 2) .

    0 x

    . exp [ +( 2/2)], [exp ( 2-1}exp(2 + ( 2)] .

  • 5 S/W 100

    x

    .

    Probability density function Cumulative distribution function

    5.8

    3) (uniform distribution)

    .

    .

    .

    Probability density function Cumulative distribution function

    5.9

  • 101 XPILE-LRFD Ver 1.0 Windows!

    4) (Weibull Distribution)

    (Weibull distribution) . (Waloddi Weibull)

    . - (Rosin-Rammler distribution)

    .

    .

    ,

    . .

    Probability density function Cumulative distribution function

    5.10

    5) (exponential distribution)

    .

  • 5 S/W 102

    c c2 .

    .

    Probability density function Cumulative distribution function

    5.11

    6) (Beta distribution)

    [0,1] .

    (probability density function) .

    (gamma function) . B(.,.) 1

    .

  • 103 XPILE-LRFD Ver 1.0 Windows!

    Probability density function Cumulative distribution function

    5.12

    7) (gamma distribution)

    .

    p(n) . x 1 .

    Probability density function Cumulative distribution function

    5.13

  • 5 S/W 104

    3.3

    1)

    . , ,

    .

    . (mean, ) (standard

    deviation, ) .

    (coefficient of variation, COV)

    .

    (probability distribution) .

    . ,

    (normal distribution) ( , 1999).

    .

    Least squares analysis(smallest on a probability plot) Wirsching-Carlson method(W and S statistic)

    Kolmogorov-Smirnov statistic

    -statistic

  • 105 XPILE-LRFD Ver 1.0 Windows!

    2) Q-Q Plot

    . .

    P-P Plot(Probability- probability Plot)

    .

    Q-Q Plot(Quantile-quantile Plot) . Q-Q Plot

    P-P Plot .

    Q-Q Plot .

    .

    5.14 P-P Plot

    5.15 Q-Q Plot

  • 5 S/W 106

    3)

    .

    .

    . .

    , , ,

    .

    4.

    4.1

    . (Low and Tang,

    1997).

    .

    min

    , , , .

    ,

    . Ellipsoid

    2.17 .

  • 107 XPILE-LRFD Ver 1.0 Windows!

    5.16

    ( ) 2 .

    (Quadratic Programming) .

    2 .

    min ,

    , :

    :

    :

    :

    :

    :

    :

    :

    :

    :

    :

    . Positive

  • 5 S/W 108

    semidefinite .

    . 1

    .

    .

    min

    1 .

    .

    1 .

    4.2

    , Joseph L. Lagrange

    . . ( 1 )

    max

    ,

    , (k+1)

    . , , . ,

    0 ,

  • 109 XPILE-LRFD Ver 1.0 Windows!

    .

    , (

    = + ) 2 , 3 , ... k+2, k+3, ...

    . ,

    .

    4.3 (Gauss Elimination)

    1)

    ,

    .

    . 2 ,

    . .

    2 .

    .

    n n 1

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  • 5 S/W 110

    . ,

    . ,

    .

    . . (determinant) , (adjoint) A

    . ,

    (cofactor) , .

    ,

    . , ,

    . . ,

    . ,

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    Cholesky . , ,

  • 111 XPILE-LRFD Ver 1.0 Windows!

    . Jacobi , Gauss-Seidel , SOR

    (Successive Over-Relaxation) . 0 ,

    . 5.6 .

    5.2 1

    Gauss-Jordan

    Gauss

    Cholesky

    : n3/2

    : n3/3

    Gauss 1/2

    Jacobi

    Gauss-Seidel

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    (Gaussian elimination) . G.E. .

    (systems of linear equations)

    (algorithm)

    1

    Gauss . Gauss , 1

    1 . ,

  • 5 S/W 112

    . , , ,

    U : Upper Trigonometric Matrix( )

    L : Lower Trigonometric Matrix( )

    . .

    3) (Forward Elimination)

    ( 1 ) , 1 2 .

    .

    .

    ( 2 ) , (4.9) 3 .

  • 113 XPILE-LRFD Ver 1.0 Windows!

    .

    . , 4 . ,

    ( )

    , 1 . , Pivot

    .

    . , ,

  • 5 S/W 114

    .

    4) (Backward Substitution)

    ,

    .

    . ,

    .

    .

    Gauss . Gauss

    . , ,

    , . , Pivot 0 0

    , . ,

    Pivot E_EPS (= ) .

  • 115 XPILE-LRFD Ver 1.0 Windows!

    5) Pivot

    Gauss , Pivot 0

    , 0 . 0 , 0 0

    , . , 2

    ,

    , , (Pivot)

    . Pivot .

    , . , Pivot

    . , Pivot 0 0

    , . Pivot

    . , Pivot ,

    .

    5.

    ,

    , .

    , ,

    . , ,

    .

  • 5 S/W 116

    5.1

    .

    Nordlund Thurman ,

    .

    , Nordlund Thurman .

    1)

    .

    , .

    , :

    : (MPa)

    5.17

  • 117 XPILE-LRFD Ver 1.0 Windows!

    .

    .

    OCR .

    , : (MPa) : OCR

    5.18 OCR

    .

    .

    , : (MPa) :

  • 5 S/W 118

    5.19

    . Nordlund Thurman

    ,

    .

    . .

    cos

    sin

    , ,

    ,

    :

    :

    : (MPa) : ( )

    : ( )

    , ,

    , Nordlund/Thurman

    .

  • 119 XPILE-LRFD Ver 1.0 Windows!

    (a) (b)

    (c) (d)

    (e) (f)

    5.20

  • 5 S/W 120

    2)

    . (SPT)

    , , ,

    , .

    .

    ,

    log

    , : SPT( /300mm)

    N : SPT ( /300mm)

    : (mm)

    : (mm)

    : 0.4 , 0.3

    . (MPa)

    .

    ( , H )

  • 121 XPILE-LRFD Ver 1.0 Windows!

    , : (MPa)

    : SPT

    ( /300mm)

    SPT .

    3)

    5.7 ,

    .

    ,

    , : (MPa)

    :

    :

    : (mm)

    : (mm)

    : (mm)

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    : (mm)

    .

  • 5 S/W 122

    5.3

    /

    -

    ,

    :

    0.35

    0.25

    0.40

    : Norldlund / Thurman

    SPT

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    0.30

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    5.2

    , ,

    . ,

    .

    .

    .

    1)

    .

    .

    .

    ,

    , = 0.55

    ,

    , : ( =0.101 MPa)

  • 123 XPILE-LRFD Ver 1.0 Windows!

    : (MPa)

    : ( )

    ,

    , : (mm)

    : (mm)

    : (MPa)

    2)

    .

    .

    , ,

    ,

    ,

    , : (MPa) : ( )

    : (mm)

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  • 5 S/W 124

    ,

    ,

    ,

    3)

    .

    Horvath Kenney(1979) .

    , : (MPa)

    : ( =0.101 MPa)

    :

    : (MPa)

    5.4 ()

    1.0 1.0

    0.5 0.8

    0.3 0.7

    0.1 0.55

    0.05 0.45

  • 125 XPILE-LRFD Ver 1.0 Windows!

    2 , 1.5 ,

    2 ,

    , : ( , Hoek and Brown, 1988)

    = (MPa)

    5.5 (Hoek and Brown,1988)

    A= Ca rb on a te ro ck s w ith w e ll d eve lo pe d cry s ta l c le a vage

    B= L ith if ie d a rg illa ce ou s ro ck sC =A re n a ce ou s ro ck s w ith s tron g c ry sta l c le a vage

    D = F in e g ra in e d po lym in e ra llic ig n eo u s cry s ta l lin e ro c ksE= C oa rse g ra in e d po lym in e ra llic ig n eo us & m e tam o rph ic

    c ry sta ll in e ro c k s

    A B C D E

    CSIR : RMR=100

    7 .001 .00

    1 0 .0 01 .0 0

    1 5 .0 01 .00

    17 .0 01 .0 0

    2 5 .0 01 .0 0

    Tightly interlocking undisturbed rock with

    unweathered joints at , (900~3000mm )

    CSIR : RMR=85

    2 .400 .0 8 2

    3 .4 30 .0 8 2

    5 .140 .0 8 2

    5 .8 20 .0 8 2

    8 .56 70 .08 2

    , (900~3000mm )

    CSIR : RMR=65

    0 .5 7 50 .0 0 2 9 3

    0 .8 2 10 .00 2 9 3

    1 .2 3 10 .0 0 2 9 3

    1 .3 9 50 .0 0 2 93

    2 .05 20 .0 02 9 3

    ( 300~900mm)CSIR : RMR=44

    0 .1 2 80 .0 0 0 0 9

    0 .1 8 30 .00 0 0 9

    0 .2 7 50 .0 0 0 0 9

    0 .3 1 10 .0 0 0 09

    0 .45 80 .0 00 0 9

    50~300mm

    (gouge) ; clean compactedwaste rock.CSIR : RMR=23

    0 .0 02 93 1 0 -6

    0 .0 4 13 1 0 -6

    0 .0 6 13 1 0 -6

    0 .0 6 93 1 0 -6

    0 .10 23 1 0 -6

    50mm . Waste rock with fines.

    CSIR : RMR=3

    0 .0 0 71 1 0 -7

    0 .0 1 01 1 0 -7

    0 .0 1 51 1 0 -7

    0 .0 1 71 1 0 -7

    0 .02 51 1 0 -7

  • 5 S/W 126

    5.6

    / /

    ,

    (O'Neil Reese, 1999) 0.45

    (O'Neil Reese, 1999) 0.40

    (O'Neil Reese, 1999) 0.55

    O'Neil Reese (1999) 0.50

    IGM O'Neil Reese (1999) 0.60

    IGM O'Neil Reese (1999) 0.55

    Horvath Kenney (1979)

    O'Neil Reese (1999)

    Carter Kuhawy (1988)

    0.55

    0.55

    0.50

    Canadian Geotech, society (1985)

    (Canadian Geotech,

    society, 1985)

    O'Neill Reese (1999)

    0.50

    6.

    , .

    ,

    .

    (= )

    .

    6.1

    1)

    . , ,

    . . ,

    ( ) .

  • 127 XPILE-LRFD Ver 1.0 Windows!

    , = ( ) (mm)

    = (mm)

    = (mm)

    ,

    . ( )

    L>5B 5.22

    .

    5.21 Boussinesq

    (Sowers, 1979)

    2)

    .

    5.23

    .

    ,

    log

  • 5 S/W 128

    ,

    : 3.6 .

    , . (MPa)

    : (mm)

    : (mm)

    :

    : (=) : 5.23 (mm)

    : SPT

    ( /300mm)

    : SPT ( /300mm)

    : (MPa)

    (a) (b)

    5.22 (Duncan Buchignani, 1976)

    3)

    . 5.24

    .

    .

  • 129 XPILE-LRFD Ver 1.0 Windows!

    , : (MPa)

    : (mm)

    : 3.5 (MPa)

    : 5.12

    : , 5.11

    5.7 (1982) Bowles(1988)

    ,

    , (MPa)

    :

    2.4 ~ 15

    15 ~ 50

    50 ~ 100

    0.4 ~ 0.5

    ( )

    , ,

    0.4

    0.7

    1.0

    1.1

    15 ~ 60

    2 ~ 20

    0.1 ~ 0.3

    0.3 ~ 0.35

    1.1

    :

    7.5 ~ 10

    10 ~ 20

    20 ~ 25

    0.25

    400~10001500~2400

    3000~4000

    :

    10 ~ 25

    25 ~ 50

    50 ~ 75

    0.20 ~ 0.35

    0.30 ~ 0.40

    :

    25 ~ 75

    75 ~ 100

    100 ~ 200

    0.2 ~ 0.35

    0.3 ~ 0.4

  • 5 S/W 130

    5.8 (EPRI, 1983)

    L/B , ( ) ,

    1.04 1.13

    1 1.06 1.08

    2 1.09 1.10

    3 1.13 1.15

    5 1.22 1.24

    10 1.41 1.41

    6.2

    1)

    .

    .

    .

    .

    .

    7.

    . , ,

    .

    7.1

    1)

    .

  • 131 XPILE-LRFD Ver 1.0 Windows!

    N .

    ,

    : ( ) -

    : 5.14

    2)

    N .

    , = 5.14

    = (N)

    .

    .

    .

    ,

    1:4 .

    . 5.25

    .

    .

    ,

    : 5.25 (mm)

    : 5.25 (mm)

  • 5 S/W 132

    : 5.24 (mm)

    : (MPa)

    : , , (N)

    5.9

    =

    ,

    ,

    ,

    , = (mm)

    = (mm)

    ,

    = (mm)

    = (mm)

    = (mm)

    = (mm)

    = (mm)

    = (N/mm)

    = (N/mm)

    = (N/mm)

    ,

    .

    5.14 .

  • 133 XPILE-LRFD Ver 1.0 Windows!

    5.23 (Tomlinson, 1987)

    5.24 (Tomlinson, 1987)

  • 5 S/W 134

    5.10

    /

    ,

    Nordlund

    SPT

    CPT

    0.35

    0.25

    0.20

    0.30

    0.25

    0.40

    0.60

    , 0.50

    7.2

    .

    .

    1)

    .

    .

    5.15 .

    .

    ,

    ,

  • 135 XPILE-LRFD Ver 1.0 Windows!

    (mm)

    :

    : (mm)

    : (mm)

    : (mm)

    : 2 (MPa)

    : 3.9

    . 0.0

    8.0 . , .

    .

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    (O'Neill Reese, 1999) 0.35

    (O'Neill Reese, 1999) 0.45

    Horvath Kenney (1979)

    Carter Kulhawy (1988)0.4

    , 0.45

  • 5 S/W 136

    8.

    .

    , .

    8.1

    , .

    .

    1)

    , : X

    : Y

    : Z

    2)

    , : X

    : Y

    : Z

    : X

    : Y

    : Z

  • 137 XPILE-LRFD Ver 1.0 Windows!

    : X

    : Y

    : Z

    8.2

    0 , 0 , 0

    , .

    3 .

    1)

    3 .

    , .

    , :

    :

    : , ,

    : 0

  • 5 S/W 138

    ,

    , cos sin sincos sin cos cos cos sin

    cos sin sin cos sin sin

    , : (tonf)

    : (tonf)

    : 0 (tonf m)

    : 0 (m)

    : 0 (m)

    : (rad)

    : i x (m)

    : i ( )

    ,,, :

    : (

    ) (tonf m)

    : i ( )

    5.12

    ,

    0 0

    0 0

  • 139 XPILE-LRFD Ver 1.0 Windows!

    , : (tonf/m)

    : (m)

    : (tonf m)

    : (m)

  • 5 S/W 140

    6

    XPILE - LRFD Ver 1.0 For Windows!

    http://www.wikipedia.org/

    , , , (2007). "

    ", , pp. 1-10.

    , , (1999), ,

    , ,

    (2008) LRFD

    , , (2005), MCS ,

    , 25 , 3C , pp. 181-188

    B.K., Low, W.H., Tang, Efficient Reliability Evaluation Using Spreadsheet, Journal of Engineering

    Mechanics. Vol. 123, no. 7, pp. 749-752. July 1997.

    Hasofer, A. M. and Lind, N. C. (1974), Exact and Invariant Second Moment code Format,

    Journal of Engineering Mechanics Division, ASCE, 100(EM1), pp. 111-121.

    Kulhawy, F., nd Phoon, K.(1996), Engineering Judgment in the Evolution from Deterministic to

    Reliability-Based Foundation Design, Proceedings of the 1996 Conference on Uncertainty

    in the Gelologic Environment, UNCERTAINTY '96, Part I, Madison, WI, ASCE, NY, pp. 29-48

    Low, B.K. and Phoon, K.K. (2002) "Practical first-order reliability computations using

    spreadsheet." In Proc. Int. Conf. Probabilistics in GeoTechnics: Technical and Economic Risk

    Estimation, pp. 30-46, Graz.