Building PT Design B 1661 L2 00

download Building PT Design B 1661 L2 00

of 36

Transcript of Building PT Design B 1661 L2 00

  • 8/18/2019 Building PT Design B 1661 L2 00

    1/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    2/36

    eometry Unit

    n Dimensions: meters Slab Thickness: mm Support Dimensions: mm

    gles: degrees Elevations: mm Support Height: meters

    oading and Reaction Unit

    nt Force: kN Line Force: kN/m Area Force: kN/m²

    - Report As Zero: 0 kN - Report As Zero: 0 kN/m - Report As Zero: 0 kN/m²

    nt Moment: kN-m Line Moment: kN Area Moment: kN/m

    - Report As Zero: 0 kN-m - Report As Zero: 0 kN - Report As Zero: 0 kN/m

    pring and Stiffness Unit

    nt Force Spring: kN/mm Line Force Spring: kN/mm² Area Force Spring: N/mm³

    nt Moment Spring: kN-m/rad Line Moment Spring: kN/rad Area Moment Spring: kN/m-rad

    ab Analysis Unit

    rce: kN Moment: kN-m Concrete Stress: N/mm²

    - Report As Zero: 0 kN - Report As Zero: 0 kN-m - Report As Zero: 0 N/mm²

    rce Per Width: kN/m Moment Per Width: kN Deflection: mm- Report As Zero: 0 kN/m - Report As Zero: 0 kN - Report As Zero: 0 mm

    aterials Unit

    ncrete Volume: cu. m Reinforcing Area: sq. mm PT Force: kN

    inforcement Weight: tonnes Tendon Profile: mm Reinforcing Stress: N/mm²

    Weight: kg Cover: mm

    iscellaneous Unit

    or Area: sq. m Density: kg/m³ Elongations: mm

    ndon Angles (for friction): radians

    Units

  • 8/18/2019 Building PT Design B 1661 L2 00

    3/36

    Positive Loads

    Positive Analysis

    Positive Reactions

    Signs

  • 8/18/2019 Building PT Design B 1661 L2 00

    4/36

    oncrete Mixx

    ame Density  (kg/m³) 

    Density For 

    Loads (kg/m³) 

    f'ci 

    (N/mm²) 

    f'c 

    (N/mm²) 

    fcui 

    (N/mm²) 

    fcu 

    (N/mm²) 

    Poissons

    Ratio Ec Calc  

    User Eci 

    (N/mm²) 

    User Ec 

    (N/mm²) 

    MPa cube 2450 2450 25 40 30 50 0.2 Code 23500 29700

    T Systemsstem

    me Type  

     Aps 

    (sq. mm) 

    Eps 

    (N/mm²) 

    fse 

    (N/mm²) 

    fpy 

    (N/mm²) 

    fpu 

    (N/mm²) 

    Duct Width 

    (mm) 

    Strands 

    Per Duct 

    Min Radius 

    (meters) 

    .7mm Bonded bonded 150 195000 1100 1500 1860 75 4 1.5

    T Stressing Parametersstem

    me 

    Jacking Stress 

    (N/mm²) 

    Seating Loss 

    (mm) 

     Anchor

    Friction 

    Wobble Friction 

    (1/meters) 

     Angular Friction 

    (1/radians) 

    Long-Term Losses 

    (N/mm²) 

    .7mm Bonded 1395 6 0.02 0.0017 0.2 100

    einforcing Barsr

    me 

     As 

    (sq. mm) 

    Es 

    (N/mm²) 

    Fy 

    (N/mm²) Coating  

    Straight 

    Ld/Db 

    90 Hook 

    Ld/Db 

    180 Hook 

    Ld/Db 

    50.2 200000 460 None Code Code Code

    0 78.5 200000 460 None Code Code Code

    2 113 200000 460 None Code Code Code

    4 154 200000 460 None Code Code Code

    6 201 200000 460 None Code Code Code

    0 314 200000 460 None Code Code Code

    5 491 200000 460 None Code Code Code

    2 804 200000 460 None Code Code Code

    SR Systems

    SR System Name Stud Area (sq. mm) 

    Head Area (sq. mm) 

    Min Clear Head Spacing (mm) 

    Specified Stud Spacing (mm) 

    Fy (N/mm²) 

    Stud Spacing Rounding Increment (mm) 

    Min Studs Per Rail 

    System Type 

    0 SSR 78.5 785 15 None 420 5 2 Rail

    2 SSR 113 1130 15 None 420 5 2 Rail

    Materials

  • 8/18/2019 Building PT Design B 1661 L2 00

    5/36

    ading Name Type Analysis On-Pattern Factor Off-Pattern Factor  

    f-Dead Loading Self-Weight Normal 1 1

    lance Loading Balance Normal 1 1

    perstatic Loading Hyperstatic Hyperstatic 1 1

    nted LL Other Normal 1 0

    mporary Construction (At Stressing) Loading Other Normal 1 0

    e Loading Other Normal 1 0

    her Dead Loading Other Normal 1 1

    nted DL Other Normal 1 1

    oadings

  • 8/18/2019 Building PT Design B 1661 L2 00

    6/36

    l Dead LCtive Design Criteria:

    alysis: Linear

    ading  Standard Factor Alt. Envelope Factor  

    f-Dead Loading 1 1

    her Dead Loading 1 1

    nted DL 1 1

    ead + Balance LCtive Design Criteria:

    alysis: Linear

    ading Standard Factor Alt. Envelope Factor  

    f-Dead Loading 1 1

    lance Loading 1 1

    her Dead Loading 1 1

    nted DL 1 1

    nitial Service LCtive Design Criteria: Initial Service Design

    alysis: Linear

    ading Standard Factor Alt. Envelope Factor  

    f-Dead Loading 1 1

    lance Loading 1.13 1.13

    mporary Construction (At Stressing) Loading 1 1

    ervice LC: D + (1.0 | 0.0) Ltive Design Criteria: Service Design

    alysis: Linear

    ading Standard Factor Alt. Envelope Factor  

    f-Dead Loading 1 1

    lance Loading 1 1

    her Dead Loading 1 1

    e Loading 1 0

    nted DL 1 1

    nted LL 1 0

    ustained Service LCtive Design Criteria: Sustained Service Design

    alysis: Linear

    ading Standard Factor Alt. Envelope Factor  

    f-Dead Loading 1 1

    lance Loading 1 1

    her Dead Loading 1 1

    e Loading 0.5 0.5

    nted DL 1 1

    nted LL 0.5 0.5

    oad Combinations

  • 8/18/2019 Building PT Design B 1661 L2 00

    7/36

    actored LC: 1.4Dtive Design Criteria: User Minimum Design, Code Minimum Design, Strength Design, Ductility Design

    alysis: Linear

    ading  Standard Factor Alt. Envelope Factor  

    f-Dead Loading 1.4 0.9

    perstatic Loading 1 1

    her Dead Loading 1.4 0.9

    nted DL 1.68 0.9

    actored LC: 1.2D + 1.6Ltive Design Criteria: User Minimum Design, Code Minimum Design, Strength Design, Ductility Design

    alysis: Linear

    ading Standard Factor Alt. Envelope Factor  

    f-Dead Loading 1.2 0.9

    perstatic Loading 1 1

    her Dead Loading 1.2 0.9

    e Loading 1.6 0

    nted DL 1.44 0.9

    nted LL 1.92 0

    T Uncracked Deflection LC (total)tive Design Criteria:

    alysis: Linear

    ading Standard Factor Alt. Envelope Factor  

    f-Dead Loading 3 3

    lance Loading 3 3

    her Dead Loading 3 3

    e Loading 1 1

    nted DL 3 3

    nted LL 1 1

    T Uncracked Deflection (Incremental)tive Design Criteria:

    alysis: Linear

    ading Standard Factor Alt. Envelope Factor  

    f-Dead Loading 2 2

    lance Loading 2 2

    e Loading 1 1

    her Dead Loading 2.5 2.5

    nted DL 2.5 2.5

    nted LL 1 1

    oad Combinations (2)

  • 8/18/2019 Building PT Design B 1661 L2 00

    8/36

    ode Minimum Desi

    8-05 Min. Reinforcement

    ser Minimum Desig

    ecified Min. Reinforcement

    nitial Service Desig

    8-05 Initial Service Design

    ervice Design

    8-05 Service Design

    clude detailed section analysis

    ustained Service Desig

    8-05 Sustained Service Design

    trength Design

    8-05 Strength Design

    clude detailed section analysis

    nching Shear Design

    uctility Desig

    8-05 Ductility Design

    Design Rules

  • 8/18/2019 Building PT Design B 1661 L2 00

    9/36

    ent: Wall Elements Above; Wall Elements Below; Wall Element Outline Only; Column Elements Above; Column Elements Below; Point Supports; Point Support Icons; Line Supports; Line Support Icons; Slab Elements; Slab Element Outline Only; Point Springs; Point Spring Icons; Line Springs; Line Spring Icons; Area Springs; Area Spring Icons; User Notes; User Lines; User Dimensions;

    ing Import: User Lines; User Notes; User Dimensions;

    Input: Walls Below; User Lines;

    = 1:275

    Element: Standard Plan

  • 8/18/2019 Building PT Design B 1661 L2 00

    10/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    11/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    12/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    13/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    14/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    15/36

    Fz=5

    Fz=5

    Fz=5

    Fz=5

    Fz=5

    Fz=5

    Fz=5Fz=5

    Fz=5

    Fz=5Fz=5

    Fz=5 Fz=10

    Fz=10Fz=10

    Fz=10Fz=20

    Fz=20

    Loading: Point Loads; Point Load Icons; Point Lo ad Values; Line Loads; Line Load Icons; Line Load Values; Area Loads; Area Load Icons; Area Load Values;

    ing Import: User Notes; User Lines; User Dimensions;

    Input: User Lines;

    ent: Wall Elements Above; Wall Elements Below; Wall Element Outline Only; Column Elements Above; Column Elements Below; Slab Elements; Slab Element Outline Only;

    = 1:275

    ive Loading: All Loads Plan

  • 8/18/2019 Building PT Design B 1661 L2 00

    16/36

    Load Pattern 1 Load Pattern 1 Load Pattern 1

    Load Pattern 1

    Load Pattern 1

    Load Pattern 1

    Load Pattern 1

    Load Pattern 1 Load Pattern 1

    Load Pattern 1

    Load Pattern 1

    Load Pattern 2

    Load Pattern 2 Load Pattern 2

    Load Pattern 2

    Load Pattern 2

    Load Pattern 2

    Load Pattern 2

    Load Pattern 2 Load Pattern 2 Load Pattern 2

    Load Pattern 2

    Load Pattern 3

    Load Pattern 3

    Load Pattern 3

    Load Pattern 3

    Load Pattern 4

    Load Pattern 4

    Load Pattern 4

    rn: Load Pattern 1; Load Pattern 2; Load Pattern 3; Load Pattern 4; Load Pattern 5; Load Pattern 6; Load Pattern 7; Load Pattern 8; Load Pattern 9; L oad Pattern 10; Load Pattern Hatching; Load Pattern Names; User Notes; User Lines; User Dimensions;

    ing Import: User Notes; User Lines; User Dimensions;

    ent: Wall Elements Above; Wall Elements Below; Wall Element Outline Only; Column Elements Above; Column Elements Below; Slab Elements; Slab Element Outline Only;

    = 1:275

    Pattern: All Patterns Plan

  • 8/18/2019 Building PT Design B 1661 L2 00

    17/36

    gn Strip: Latitude SSs; Latitude SSSs; SSS Hatching; SSS Internal Sections;

    ing Import: User Notes; User Lines; User Dimensions;

    Input: User Lines;

    ent: Wall Elements Above; Wall Elements Below; Wall Element Outline Only; Column Elements Above; Column Elements Below; Slab Elements; Slab Element Outline Only;

    = 1:275

    Design Strip: Latitude Design Spans Plan

  • 8/18/2019 Building PT Design B 1661 L2 00

    18/36

    gn Strip: Longitude SSs; Longitude SSSs; SSS Hatching; SSS Internal Sections;

    ing Import: User Notes; User Lines; User Dimensions;

    Input: User Lines;

    ent: Wall Elements Above; Wall Elements Below; Wall Element Outline Only; Column Elements Above; Column Elements Below; Slab Elements; Slab Element Outline Only;

    = 1:275

    Design Strip: Longitude Design Spans Plan

  • 8/18/2019 Building PT Design B 1661 L2 00

    19/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    20/36

    -50

    -200-50

    -50-150-100 -200

    -100-150-100-50

    -150-50

    -50-100-150

    -50-150-50 -150-100 50150

    -100-150

    100-200-100-200 -200

    0-50-100-150

    -50 -100

    -50-100 -100

    -200-150

    -50-100

    -150

    -100 -50-50 -100

    0

    -50 0-50

    -100

    0100

    1500

    100-50

    1000 00

    150200

    050 00

    0 150200

    -100 500-200

    0-50

    100

    -100

    50-1500

    0-50 -150-50-500

    200-200-150

    -200 50 150-150-50

    -100-200 -100-200

    -100

    -200-150

    0 -500

    -1500 -100

    -100 -50-100

    20000

    050

    00

    0200150

    050 50

    20050 -1-50 50

    500 50

    50 50200 -200

    0

    0

    0

    00

    -5050 0100200

    00

    50-200

    150-50 50

    -200-50-150

    -50 -150-2000

    -100 -50-200 -100

    50-150-200

    50-50 -150100

    -200-100

    -50

    0-200

    -100-150

    -1000 -100-50

    1000 -200-100

    -50 -100-100150 0

    1500

    100500

    50

    500

    0 5000

    1500 -50-150

    -50200500-200 -50

    -100 -100 50-150100 0-100-200 -100 -150

    -150 -150-50 50-100-100

    -100-50-100

    -2000

    -100-100

    -150

    50-50

    -100 -2000

    0-50

    -500

    -2000

    -100

    00

    100-200 -100

    150200 0-100

    50100 -50

    5050

    -50-5015050 0 -50

    15050200 100 50

    505050

    50100

    100200

    5050

    50150 50 50 500

    500 0100

    1500-100-100-200

    0 -15050 -100-50

    -100-150

    -50 -2000-50 0-50

    -200-100-200

    -100 -100-50 0-100 -150-50

    -50--200

    -1000

    -150 -50

    -50 -50-50

    -50 -100-150-100

    -50-0

    -50 -50-50

    -100-200

    -10-200

    -200 -100-1000

    -150

    -50-100-100

    -150-150 -200-50-200 -150

    -100 -150-150-200-50

    -100 -150-150-200

    -150-50-100

    -100

    -150-200-200

    0-150-50

    -50-100

    0 0-50-50-100

    -50 -50-50-50 -50

    0 -10150

    0

    -101005050

    -10050

    500500

    100 150150

    100

    5050

    50 50 1005050

    0 0

    50

    1000 150

    -50 -50 -500 -50 0-50

    -100-150-100

    -200-100-100

    -50

    -200 -100-150 0

    -150-100

    -150-150-150

    0-200 -150-100-150 -50 0

    -50-150

    -150-50-150 -100 -50

    -200 -100 -50 -150-50

    -200-50-50

    -100

    -50-50

    ored LC: 1.2D + 1.6L: User Notes; User Lines; User Dimensions;

    ing Import: User Lines; User Notes; User Dimensions;

    Input: User Lines;

    ent: Wall Elements Above; Wall Elements Below; Wall Element Outline Only; Column Elements Above; Column Elements Below; Slab Elements; Slab Element Outline Only;

    = 1:275

    ored LC: 1.2D + 1.6L - Bending Moment Plot (X-Axis Direction)

    -200 -150 -100 -50 0 50 100 150 200

    Min Value = -7331 kN @ (80.4,-0.8511) Max Value = 3741 kN @ (80.85,6.792)

    actored LC: 1.2D + 1.6L: Mx Plan

  • 8/18/2019 Building PT Design B 1661 L2 00

    21/36

    0-100 50-50 -50

    0-200 -150-50

    -200 -15050

    -1000

    0 -150 -100 -100-150 -150 100-200-200

    -15000-50 -200-100

    -200 -15050-100 -100-200 0 -150-200-200 -150

    -100-1000

    -200

    -50-200

    -50 -50 -1000-50 -50

    0 0 50

    1500

    0 505050

    0-20050

    50 -100-100 -150

    -50

    -100 100-100-150

    -150-200

    -200 0

    -50-50 -100

    -150-100 -100

    1000-50-100-150

    -100 -50-100-200-50 -1500

    -100-50 50-100-150

    -5050

    00

    -150-50-5050

    -150

    100-500 -100-200

    -200 50-150

    -50

    -2000

    -5050 -100

    0100 150

    50

    -100

    100

    0050100

    -100-150 100

    -100 20050 -200-200

    -100-50-150

    -150 -150-150-15050 50 200

    00-100-5050

    -150-50-100 -50100

    200 100200 00 -100

    100-100-200 0 -150

    0-5050 100

    200200

    -150

    -150100100 100

    -5050100 0-200

    -200 100-200 5000

    -150 -150-20050-500

    050

    50 -500 100

    100-50 -500

    20050-150-100-150

    -50 -100-200-150 -100-200

    -1000 -200-1500 -50-200 50 0

    -200-50

    150 10100100 -100

    -50150 50

    150-100150

    -1501500150 -200100

    -200-100100100

    20050-200200 150

    50 50200 0100 -150

    -200-100 15050

    -100-150200-200 -50

    -100-150-150 -200-100

    -100-200

    0-150

    -5050

    0150

    100 0 150

    0 500

    100-50-50

    0 -500 100

    -150-150

    -150-150 50

    -200-100-200 -200-150 -200

    -50-100

    50 50-200

    -200-200-50 -50

    20050

    100-200

    200-150 -150 50

    -200-50 -200-200 0 -200

    -200 -50 20050-200

    -5050 50 20

    050 0

    -200

    -150 0-50

    -200-50

    0 -200-100-150 -200

    0-200-100

    0 -10-50

    -50 -150-200

    -100-50 -150-150-200

    -100 -100-100-200

    -50 -100-100 50-100

    -150-100 150-2000 -100-150

    -100-100 100

    -150-150 200-150

    -100-2000-500 -100 -50

    -50-500 0-100

    -500 00

    500 00

    1000

    0-50

    1000 50

    100

    0500

    -50-100 -50 500-50 50

    50-150 -50

    -150 -150 0-150-100 -100-100 -150

    -200

    -100

    -150-50

    0-150-200 -200 0-200 00-100 -50 -200 150 -5

    -50 50-150-200 -100-50 -200 -100

    -200 -100 -50-50 -150

    -100

    -50

    -150-100 -100

    50 0

    ored LC: 1.2D + 1.6L: User Notes; User Lines; User Dimensions;

    ing Import: User Lines; User Notes; User Dimensions;

    Input: User Lines;

    ent: Wall Elements Above; Wall Elements Below; Wall Element Outline Only; Column Elements Above; Column Elements Below; Slab Elements; Slab Element Outline Only;

    = 1:275

    red LC: 1.2D + 1.6L - Bending Moment Plot (Y-Axis Direction)

    -200 -150 -100 -50 0 50 100 150 200

    Min Value = -4199 kN @ (68.36,16.85) Max Value = 4484 kN @ (74.75,7.449)

    actored LC: 1.2D + 1.6L: My Plan

  • 8/18/2019 Building PT Design B 1661 L2 00

    22/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    23/36

    0

    0

    0

    0

    0

    0

    5

    0

    0

    5

    0

    0

    5

    5

    0

    0

    0

    10

    0

    0

    0

    0

    105

    5

    5

    5

    5

    55

    5

    00

    0

    00

    0

    0 0

    5

    0

    0

    5

    0

    0

    10

    0 5

    0

    5

    ncracked Deflection (Incremental): User Lines; User Notes; User Dimensions;

    ing Import: User Lines; User Notes; User Dimensions;

    ent: Wall Elements Below; Wall Elements Above; Wall Element Outline Only; Column Elements Below; Column Elements Above; Slab Elements; Slab Element Outline Only;

    = 1:275

    ncracked Deflection (Incremental) - Vertical Deflection Plot

    -15 -10 -5 0 5 10 15 20 25

    Min Value = -3.287 mm @ (39,2.239) Max Value = 13.62 mm @ (74.16,11.2)

    T Uncracked Deflection (Incremental): Std Deflection Plan

  • 8/18/2019 Building PT Design B 1661 L2 00

    24/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    25/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    26/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    27/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    28/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    29/36

  • 8/18/2019 Building PT Design B 1661 L2 00

    30/36

    OKOK OK O

    OK OK OK OK OK OK OK OK OKOK

    OK OK

    OK

    OK OK OK OK OK OK OK

    OK

    OK OK OK OKOK

    OKOK

    OKOKOK OK

    OK OK OK OK OK

    OK

    OK

    OK

    OK OK OKOK

    OKOK

    OK OK OK OK OK

    OKOK OKOK

    OK

    OKOKOK

    OK

    OK OK OKOK OK OK OK OK OK OK OK OK

    OK OK OKOK

    OKOKOK OK

    OKOK OK OK OK OK OK OK OK OK OKOKOK OK

    OK

    OKOK

    OK OK

    OK OK OKOKOK OK OK OK OK OK OK OK OK OK OKOK

    OKOKOK OK

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K O                

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         K