Въведение в SAP2000 - uacg.bguacg.bg/filebank/att_6135.pdf · Университет по Архитектура, Строителство и Геодезия катедра

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  • SAP2000

    . . - .

    1

  • ,

    2

    2

    1 . 3

    2 . 5

    3 . 21

    4 . 49

    5 . 71

    6 . 91

    7 . AutoCAD SAP2000 142

    8 . 169

    SAP2000

    I 190

    EN 1990

    II 196

    , .

  • ,

    3

    1.

    3

    SAP 2000

    .

    ,

    .

    .

    ,

    ,

    .

  • ,

    4

    4

    .

    -

    SAP 2000

    ,

    .

    SAP2000.

    .

    ,

    -

    .

  • ,

    5

    2. .

    5

  • ,

    6

    - File New

    Model. kN,m,C

    ( , ,

    ).

    6

  • ,

    7

    Blank .

    dxf

    .

    Grid Only

    (grid lines).

    .

    Beam

    number of spans . 2D

    Trusses .

    2D Frames . Numer of

    Stories , Number of Bays

    . Story Height Bay Width

    .

    7

  • ,

    8

    Options - ,

    .

    8

  • ,

    9

    Options

    (Set Menu Level) : Advanced.

    Windows ,

    .

    . .

    9

  • ,

    10

    Reset

    Toolbars

    .

    ,

    frame

    , -

    .

    Options -> Colors

    10

  • ,

    11

    Background

    .

    Frames - frame

    - , Frame

    Distributed Loads -

    ,

    Restraints

    , Q N .

    11

  • ,

    12

    frame

    Options

    Dimensions/Tolerans.

    Dimensions

    /Tolerances Preferences.

    Screen Line Thickness

    3 ( 1)

    Minimum Graphic Font Size

    6 (

    3) Reset

    to Defaults

    12

  • ,

    13

    .

    File / New Model -> Beam

    Beam

    ; Number of Spans : 2 ; Span Length : 6

    ( 6 ).

    13

  • ,

    14

    3D

    () XZ.

    XZ.

    3D

    .

    Zoom in -

    10%.

    View / Zoom in One

    14

  • ,

    15

    Zoom out -

    10%.

    View / Zoom out One

    Previous Zoom

    Rubber Band Zoom

    .

    ,

    .

    15

  • ,

    16

    Rubber Band Zoom

    Restore Full View ,

    .

    Restore Full View

    16

  • ,

    17

    Pan ,

    .

    .

    frame -

    :

    17

  • ,

    18

    View / Set Display Options.

    18

  • ,

    19

    .

    .

    19

  • ,

    20

    X Y Z.

    1 , 2 3

    (frame)

    .

    20

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    21

  • ,

    22

    3.

    22

  • ,

    23

    1. :

    .

    :

    -

    - , Q N

    -

    - 180

    . , frame

    .

    23

  • ,

    24

    24

  • ,

    25

    ,

    . frame ,

    25

  • ,

    26

    .

    File New Model,

    Grid Only.

    (Quick

    Grid Lines)

    26

  • ,

    27

    Number of Grid Lines. X 5,

    , XZ,

    Y 1. Z 3

    . Grid Spacing

    . X Z

    1.1 1.8 , Y

    Y direction

    .

    .

    First Grid Line Location

    .

    .

    27

  • ,

    28

    .

    28

  • ,

    29

    Edit Grid

    Data.

    29

  • ,

    30

    Modify/Show System.

    Define Grid System Data,

    .

    .

    Grids Only ()

    .

    30

  • ,

    31

    -

    31

  • ,

    32

    OK

    Coordinate/

    Grid Systems

    OK.

    32

  • ,

    33

    33

  • ,

    34

    frame . Draw

    Draw Frame/Cable/Tendon.

    ,

    . ,

    frame

    .

    ,

    . ,

    , Escape

    .

    34

  • ,

    35

    35

  • ,

    36

    : ,

    . Assign Joints,

    Restraints.

    .

    1

    2 Y

    3 Z

    36

  • ,

    37

    5 6

    1,2 3.

    7 ,

    1 2.

    37

  • ,

    38

    (frame) :

    - 1 .

    .

    - 2 1 xz.

    Z.

    , 2

    .

    - 3 XZ (

    Y ,

    1 2.

    38

  • ,

    39

    39

  • ,

    40

    3:

    ,

    frame

    . frame

    ( ),

    Assign Frame -> Releases/Partial Fixity

    frame 2 5 Moment 33 End

    frame 3 - Moment 33 Start.

    40

  • ,

    41

    41

  • ,

    42

    Axial Load N , Shear Force 2 Q . 1,2,3

    frame ,

    1.

    , .

    ,

    frame Mirror ,

    , Set

    Display Options.

    42

  • ,

    43

    :

    frame 4:

    Assign -> Frame Loads

    -> Point

    43

  • ,

    44

    Frame Point Loads

    Forces, Local

    2 ( ).

    frame ,

    :

    = 2.52 + 52

    - .

    ,

    0.5. Load -100kN,

    2.

    44

  • ,

    45

    4 :

    :

    - 3

    - 4 Assign -> Joint Loads ->Forces

    45

  • ,

    46

    ,

    Y

    (

    . )

    46

  • ,

    47

    47

  • ,

    48

    . :

    4 50kNm.

    48

    ,

    2

  • ,

    49

    4.

    - .

    File -> New Model . New Model

    :

    kN , m, Co . Beam .

    49

  • ,

    50

    50

  • ,

    51

    , ,

    .

    View Set Display Options

    Labels Frame/Cable/Tendon.

    51

  • ,

    52

    52

  • ,

    53

    53

  • ,

    54

    Path Data

    Add

    frame

    ,

    .

    54

  • ,

    55

    Define Moving Loads ->

    Vehicles. ,

    Choose Vehicle Type

    to Add.

    55

  • ,

    56

    56

  • ,

    57

    Define -> Moving Loads -> Vehicle Classes

    57

  • ,

    58

    58

  • ,

    59

    59

  • ,

    60

    Define Add New Load Cases

    60

  • ,

    61

    61

  • ,

    62

    62

  • ,

    63

    63

  • ,

    64

    Assign Set Analysis Options.

    Plane Frame .

    64

  • ,

    65

    Display Show Influence Lines

    -

    :

    - 1

    - 2 Y

    - 3 Z

    65

  • ,

    66

    Frame

    66

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    67

    67

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    68

    Q

    68

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    69

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    70

    .

    70

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    71

    5. .

    . [1]:

    .

    71

  • ,

    72

    72

  • ,

    73

    :

    b = 0.4 . h = 0.8 .

    E = 3*107 kN/m2

    = 1*10-5 1/0

    .

    .

    73

  • ,

    74

    Define Material,

    Define Materials, Add New Material.

    Material Property Data

    Material Name and Display Color : MATERIAL

    Modulas Of Elastisity, E : 3E+07 [kN/m2]

    Coefficient of Thermal Expansion, A : 1E-05

    [1/Co]

    74

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    75

    75

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    76

    :

    Define Section Properties, Frame

    Sections, Frame Properties

    76

  • ,

    77

    77

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    78

    .

    . ,

    .

    concrete.

    - >

    78

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    79

    79

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    80

    Section Name (

    , FSEC2)

    Material ,

    .

    Dimensions

    -

    Depth (t3) 0.8 Width (t2) 0.4

    t3 = 0.8

    3 frame .

    t2 = 0.4

    2 frame .

    OK Frame

    Properties - FSEC2

    80

  • ,

    81

    ( Ctrl +

    Enter) Assign -

    :

    Assign / Frame / Frame Sections

    Frame Properties

    .

    81

  • ,

    82

    frame

    82

  • ,

    83

    : AC, CD, DE

    t =18+24

    2= 3

    t = 24 18 = 42

    : BD

    t =24+24

    2= 24

    t = 24 24 = 0

    83

  • ,

    84

    t AC, CD, DE :

    frame .

    Assign Frame Loads / Temperature

    Frame Temperature Loading

    84

  • ,

    85

    85

  • ,

    86

    :

    .

    - AC :

    86

  • ,

    87

    e

    t1 t2 , t2

    2.

    (-18 24 )/0,8 = -52,5

    87

  • ,

    88

    CD DE

    24 - (- 18) / 0,8 = 52,5

    88

  • ,

    89

    89

  • ,

    90

    BD -

    - .

    .

    -

    ,

    :

    [kN,mm,oC ].

    90

  • ,

    91

    5. .

    ,

    [5].

    .

    91

  • ,

    92

    - :

    92

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    93

    -

    93

  • ,

    94

    -

    94

  • ,

    95

    -

    95

  • ,

    96

    : ,

    ,

    .

    File New Model Grid Only.

    2,4

    Y , .

    96

  • ,

    97

    97

  • ,

    98

    98

  • ,

    99

    ,

    frame

    .

    99

  • ,

    100

    ,

    .

    Edit -> Edit Lines ->

    Divide Frames

    100

  • ,

    101

    Frame :

    101

  • ,

    102

    Divide Selected Frames

    Number of Frames 2 , Last/First

    Ratio 0,5 ( - )

    .5

    102

  • ,

    103

    :

    Ctrl + A ,

    , .

    103

  • ,

    104

    Edit Replicate, - Mirror

    Parallel to Z (,

    , Z.)

    XY :

    ,

    .

    104

  • ,

    105

    105

  • ,

    106

    106

  • ,

    107

    :

    Assign -> Frame -> Releases/Partial Fixity

    Moment 3-3 Start End.

    107

  • ,

    108

    :

    Define Load Patterns

    :

    108

  • ,

    109

    Gk DEAD.

    ,

    .

    Sl, Sr , (

    Gk)

    LIVE

    109

  • ,

    110

    Define Load Cases

    110

  • ,

    111

    Gk:

    Assign -

    > Joint Loads-Forces.

    Joint Forces

    111

  • ,

    112

    :

    EN 1990 - 1 [1],[2]

    Define Load Combinations

    Define Load Combinations Add New

    Combo.

    112

  • ,

    113

    113

  • ,

    114

    1.35 ,

    1.5. Scale Factor.

    :

    : GkSl

    : GkSr

    Define Load Combinations

    .

    114

  • ,

    115

    115

  • ,

    116

    EN 19931-1

    GkSk1 Gk = 1.0; Sk = 1.0

    GkSk Gk = 1.35; S = 1.5

    GkSl Gk = 1.35; Sl = 1.5

    GkSr Gk = 1.35; Sr = 1.5

    116

  • ,

    117

    -

    S235

    :

    117

  • ,

    118

    :

    2L 10

    . :

    2L 50.50.5

    2L 56.56.5

    2L 70.70.6

    2L 75.75.7

    2l 80.80.7

    2L 110.110.7

    Section

    Builder

    118

  • ,

    119

    Define -> Section Properties -> Frame Sections ->

    Add New Property

    119

  • ,

    120

    120

  • ,

    121

    121

  • ,

    122

    122

  • ,

    123

    XY.

    L .

    .

    123

  • ,

    124

    124

  • ,

    125

    2L

    .

    ,

    . Width 0,23 ,

    Separation 0.01 .

    Sap2000

    .

    Define -> Section Properties ->Frame Sections

    125

  • ,

    126

    126

  • ,

    127

    .

    127

  • ,

    128

    .

    128

  • ,

    129

    i3 i2

    9.6 1.53 2.45

    9.5 1.54 2.47 sect. builder

    1.0% -0.7% -0.8%

    10.82 1.72 2.69

    10.7 1.73 2.71 sect. builder

    1.1% -0.6% -0.7%

    16.3 2.15 3.25

    16.08 2.17 3.29 sect. builder

    1.3% -0.9% -1.2%

    20.15 2.3 3.47

    20.02 2.32 3.47 sect. builder

    0.6% -0.9% 0.0%

    21.6 2.45 3.67

    21.4 2.48 3.71 sect. builder

    0.9% -1.2% -1.1%

    30.4 3.4 4.85

    29.8 3.44 4.92 sect. builder

    2.0% -1.2% -1.4%

    50.50.5

    56.56.5

    70.70.6

    75.75.7

    80.80.7

    110.110.7

    ,

    1 2

    .

    , Section Designer [8]

  • ,

    130

    USections.

    , .

    Design -> Steel Frame Design -> View / Revise Preferences.

    Steel Frame Design Preferences

    130

  • ,

    131

    .

    131

  • ,

    132

    .

    Design -> Steel Frame Design -> Set Displacement Targets

    4 6 . 1/300

    .

    132

  • ,

    133

    :

    Sap2000

    133

  • ,

    134

    DSTL2,

    134

  • ,

    135

    135

  • ,

    136

    136

  • ,

    137

    Steel

    Frame Design.

    137

  • ,

    138

    , Design -> Steel

    Frame Design -> Start Design -> Check of Structure.

    138

  • ,

    139

    .

    . Sap2000 ,

    , AutoSelect.

    ,

    .

    ( VD) - 50% .

    2L .

    .

    139

  • ,

    140

    VD.

    140

  • ,

    141

    .

    141

  • ,

    142

    7. AutoCAD SAP2000

    Massprop AutoCAD.

    1,

    .

    142

  • ,

    143

    ,

    Region.

    : Region Created.

    Massprop ,

    : Select Objects: .

    .

    :

    143

  • ,

    144

    ,

    .

    , .

    REGIONS ----------------

    Area: 3550.0000

    Perimeter: 379.2541

    Bounding box: X: -30.0000 -- 30.0000

    Y: 0.0000 -- 120.0000

    Centroid: X: 0.0000

    Y: 50.4085

    Moments of inertia: X: 14747458.3333

    Y: 564593.3333

    144

  • ,

    145

    Product of inertia: XY: 0.0000

    Radii of gyration: X: 64.4532

    Y: 12.6111

    Principal moments and X-Y directions about centroid:

    I: 564593.3333 along [0.0000 1.0000]

    J: 5726866.0798 along [-1.0000 0.0000]

    .

    :

    Area: 3550.0000 - .

    Perimeter: 379.2541 - .

    Bounding box: X: -30.0000 -- 30.0000

    Y: 0.0000 -- 120.0000

    145

  • ,

    146

    : (-30,0) (30,120).

    Moments of inertia: X: 14747458.3333 Y: 564593.3333

    X Y

    Product of inertia: XY: 0.0000

    .

    Radii of gyration: X: 64.4532

    Y: 12.6111

    146

  • ,

    147

    Principal moments and X-Y directions about centroid:

    I: 564593.3333 along [0.0000 1.0000]

    J: 5726866.0798 along [-1.0000 0.0000]

    I J.

    :

    147

  • ,

    148

    Area: 5200.0000

    Perimeter: 360.0000

    Bounding box:

    X: 0.0000 -- 80.0000

    Y: 0.0000 -- 100.0000

    148

  • ,

    149

    Centroid: X: 29.2308

    Y: 41.9231

    Moments of inertia: X: 13693333.3333

    Y: 6613333.3333

    Product of inertia: XY: 5080000.0000

    Radii of gyration: X: 51.3160

    Y: 35.6622

    Principal moments and X-Y directions about centroid:

    I: 1604129.4899 along [0.4013 -0.9160]

    J: 5120229.4844 along [0.9160 0.4013]

    149

  • ,

    150

    150

  • ,

    151

    ():

    151

  • ,

    152

    Region ,

    ( ).

    Subtract

    :

    Subtract Select objects:

    , - .

    Massprop

    .

    :

    152

  • ,

    153

    Area: 88.0000

    Perimeter: 88.0000

    : 10*16 - 12*6 = 88 2.

    :

    2*(16 + 10) + 2*(6 + 12) = 88 .

    153

  • ,

    154

    :

    154

  • ,

    155

    Region:

    .

    2 Regions created.

    Union

    ().

    Command: union

    Select objects: Specify opposite corner: 2 found

    . -

    ,

    .

    Massprop.

    155

  • ,

    156

    156

  • ,

    157

    Area: 34.0000

    Perimeter: 72.0000

    Bounding box: X: -7.5000 -- 7.5000

    Y: -4.5000 -- 4.5000

    Centroid: X: 0.0000

    Y: 0.0000

    Moments of inertia: X: 378.8333

    Y: 1228.8333

    Product of inertia: XY: 0.0000

    Radii of gyration: X: 3.3380

    Y: 6.0118

    Principal moments and X-Y directions about centroid:

    I: 378.8333 along [1.0000 0.0000]

    J: 1228.8333 along [0.0000 1.0000]

    157

  • ,

    158

    massprop ( AutoCAD) SAP2000.

    158

  • ,

    159

    159

  • ,

    160

    160

  • ,

    161

    , AutoCAD,

    dxf .

    161

  • ,

    162

    .

    Mirror

    . Divide

    8 .

    ( SAP2000 frame

    ).

    162

  • ,

    163

    ,

    (frame )

    163

  • ,

    164

    Sap_frames

    AutoCAD (frame )

    . frame

    MOVE a

    (0,0). .dxf

    Sap2000

    .dxf . :

    File > New Model -> Blank (

    ).

    File >Import -> AutoCAD .dxf File .

    164

  • ,

    165

    Sap2000 .

    : AutoCAD

    ( y ,

    XY AutoCAD

    XZ Sap2000. , y

    AutoCAD , Z Sap2000.

    165

  • ,

    166

    166

  • ,

    167

    167

  • ,

    168

    ,

    , ,

    dxf

    .

    24

    frame .

    168

  • ,

    169

    169

    8.

    SAP2000

    :

    - ,

    ;

    - ;

    -

    P-D .

  • ,

    170

    170

    .

  • ,

    171

    171

    16

    . Assign / Frame Tension/Compression Limits

    Assign / Frame

    Tension/Compression Limits.

    ,

    .

  • ,

    172

    172

  • ,

    173

    173

    ,

    .

  • ,

    174

    174

  • ,

    175

    175

  • ,

    176

    176

  • ,

    177

    177

    .

  • ,

    178

    178

    -

    , .

    .

    .

  • ,

    179

    179

    .

    , e

    LEFT RIGHT.

    .

  • ,

    180

    180

  • ,

    181

    181

    P-D .

    ,

    60 18 5 .

    .

    .

    .

    S235.

    : HE 260A HE 700x352

  • ,

    182

    182

    :

    -

    ,

    ,

    , 1

    ,

    ,

    0.5*6 3.5 6.5 /

    6.5*1.35 8.78 /

    EN 1991-1-3 [5]:

    * * * * *

    2.2*0.8*1*1*6*0.8 8.45 /

    8.45*1.5 12.68 /

    k r

    d r

    k r k e t

    k r

    d r

    g kN m

    g kN m

    s s c c b c

    s kN m

    s kN m

    , ,

    , , 0

    :

    8.78 12.68 21.45 /

    * 8.78 12.68*0.5 15.12 /

    ( I )

    I

    r d r d r

    II

    r d r d r

    q g s kN m

    q g s kN m

  • ,

    183

    183

    :

    - :

    ,

    ,

    , ,10 ,0

    ,

    ,

    6*0.5 0.68 3.68 /

    3.68*1.35 5 /

    EN 1991-1-4 [7]

    ( )* * * * *

    1.93*0.705*0.42*1*1*6 3.43 /

    3

    k c

    d c

    k cL e pe b season dir

    k cL

    d cL

    g kN m

    g kN m

    w c z c q c c b

    w kN m

    w

    ,10

    ,

    ,

    .43*1.5 5.15 /

    0.31

    1.93* 0.31*0.42*1*1*6 1.51 /

    1.51*1.5 2.26 /

    pe

    k cR

    d cR

    kN m

    c

    w kN m

    w kN m

  • A B C D E

    h/d cpe,10 cpe,1 cpe,10 cpe,1 cpe,10 cpe,1 cpe,10 cpe,1 cpe,10 cpe,1

    5 -1,2 -1,4 -0,8 -1,1 -0,5 +0,8 +1,0 -0,7

    1 -1,2 -1,4 -0,8 -1,1 -0,5 +0,8 +1,0 -0,5

    0,25 -1,2 -1,4 -0,8 -1,1 -0,5 +0,7 +1,0 -0,3

    Z [m] . I . V .

    1 1.08 1.28 1.18

    2 1.42 1.28 1.18

    3 1.64 1.28 1.18

    4 1.80 1.28 1.18

    5 1.93 1.28 1.18

    6 2.04 1.39 1.18

    7 2.13 1.48 1.18

    8 2.21 1.57 1.18

    9 2.29 1.64 1.18

    10 2.35 1.71 1.18

    11 2.41 1.77 1.24

    12 2.47 1.83 1.29

    13 2.52 1.88 1.35

    14 2.57 1.93 1.40

    15 2.62 1.98 1.44

    100 4.01 3.45 2.93

    Ce(Z)

    :

  • ,

    185

    185

    ,

    , 0

    , 0

    ,

    ,

    :

    - I

    3.68*1.35 5 /

    1.5* * 1.5*3.43*0.6 3.05 /

    1.5* * 1.5*2.26*0.6 1.36 /

    - II

    3.68*1.35 5 /

    1.5* 1.5*

    d c

    I

    dcL k cL

    I

    dcR k cR

    d c

    I

    dcL k cL

    g kN m

    w w kN m

    w w kN m

    g kN m

    w w

    ,

    3.43 5.15 /

    1.5* 1.5*2.26 3.39 /IdcR k cR

    kN m

    w w kN m

  • ,

    186

    186

  • ,

    187

    187

    Define / Load Cases :

  • ,

    188

    188

  • ,

    189

    189

    .

    .

    I kNm

    II

    kNm

    : 30.16 56.11

    II :

    32.1 58.72

    : 6.4% 4.7%

  • ,

    190

    190

    1

    EN 1990 [2]

    ikJ i

    iiQkQPjkjG QQpG ,,,,,,, """"""

    1 1

    011

    :

    Gk,j J ;

    G,i J ;

    P ;

    P ;

    Qk,1 ;

    Q,1

    -;

  • ,

    191

    191

    ( ) :

    1,5 1,35. 1,0,Q G

    STR

    ikJ i

    ikdjk QQApG ,,,,,, "")(""""""

    1 1

    211211

    1,1 2,1

    1,1

    1.

    EN 1991-2 .

  • ,

    192

    192

    , 2, ,

    1 1

    " " " " " "k j Ed i kiJ i

    G p A Q

  • ,

    193

    193

    1

    50 ;

    1%

    ;

    50 % .

  • ,

    194

    194

    0 1 2

    ( EN

    1991-1-1):

    :

    0,7

    0,5

    0,3

    : 0,7 0,5 0,3

    : , 0,7 0,7 0,6

    D: 0,7 0,7 0,6

    : 1,0 0,9 0,8

    F:

    30 kN

    0,7

    0,7

    0,6

    G:

    30 kN,

    160 kN

    0,7

    0,5

    0,3

  • ,

    195

    195

    0 1 2

    H: 0 0 0

    ( EN 1991-1-3)*:

    - , , ,

    - - CEN,

    - 1 000 m

    - - CEN,

    1 000 m

    0,7

    0,7

    0,5

    0,5

    0,5

    0,2

    0,2

    0,2

    0

    ( EN 1991-1-4) 0,6 0,2 0

    ( ) ( EN 1991-1-5) 0,6 0,5 0

    : .

    * - , .

  • ,

    196

    :

    .

    2

    ,

    .

  • ,

    197

    Assign Frame Loads

    / Distributed. .

    Forces

    .

    Coord Sys

    .

  • ,

    198

    -

    Z.

    Z

    ,

    Load

    - .

    ,

    Options

    Add to Existing

    Loads (

    .)

  • ,

    199

    , , -

    , -

    .

    .

    .

  • ,

    200

    projected

    :

    Direction Z.

    5 ,

    50 kN.

  • ,

    201

    Projected Z ,

    10 kN/m

    .

  • ,

    202

    - Display

    Show Forces/Stresses Frame/Cable/Tendon

    Case/Combo Name

    .

    Component

    :

    - Axial Force N

    - Shear 2-2 -

    2

    - Shear 3-3 -

    3

  • ,

    203

    Torsion

    Moment 2-2 - 2.

    Moment 3-3 - 3.

    Scale

    .

    Options

    .

    :

  • ,

    204

    M

    .

    :

    Diagrams for Frame Object1.

  • ,

    205

    Items

    ,

    . (

    2

    3).

    N

    : Axial [P and T].

    Deflection -

    .

    Location :

    .

  • ,

    206

    File / Export Sap2000 MS Excel SpreadSheet.xls File.

    .

    .

    206

  • ,

    207

    ,

    ,

    .

    207

  • ,

    208

    ,

    Data Data Filter.

    , N

    (P) Remove

    Duplicates

    208

  • ,

    209

    209

  • ,

    210

    210

  • ,

    211

    211

    :

    1. . I

    , 2001

    2. EN 1990

    3. EN 1990

    - .

    4. EN 1993 1 - 3

    . 1-3: .

    .

    5. EN 1993 1 - 3

    . 1-3: .

    . .

  • ,

    212

    212

    6. EN 1993 1 - 4

    . 1-4: .

    .

    7. EN 1993 1 - 4

    . 1-4: .

    . .

    8. . ,

    2004

    9.

    SAP2000 . . , . . , . .

    . - , , 2012

  • ,

    213

    213

    10. CSI Analysis Reference Manual For SAP2000, ETABS,

    SAFE and CSiBridge

    Berkeley, California, USA

    11. Handbook1 Basis of Structural Design. Leonardo da Vinci

    Project