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    Example 2 - Two equal spans

    Details on following slides

    Three foundation options:1. Fixed column bases

    2. Pile/cap column bases

    Bent cap

    Circular bent columns

    Abutment

    Abutment

    ( two versions )

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    deck

    cap

    BT-63

    bearing

    8"

    63"

    4"

    48"

    99"

    4.0' 3 @ 7.0' 4.0'

    29.0'

    99"73" 71"75" 4"

    4.0' = 48"

    20.0' = 240"

    73"75"

    8" slab deck

    Foundation:

    Three options

    Ground level

    4"

    railing

    30" circular columns

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    27.0'

    6.0' 17.0'

    5.0' 8.5'

    1.0'

    30"

    Bent cap

    Foundation

    3.0'

    4.0'

    20.0'

    Foundation

    300 lb/ft (0.3 k/ft)

    9"

    18"

    26.0' face-to-faceRailing

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    Foundation Option 1: Bent columns on fixed supports

    Columns assumed fixed at ground level

    Bent cap

    Bent column

    Abutment

    Abutment

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    Each column supported by 9-pile group

    Abutment

    Abutment

    Bent cap

    Pile cap

    Foundation Options 2 and 3: Bent columns on capped piles( Two versions )

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    Example 2 Option 1:

    Bent columns on fixed supports

    Columns fixed at ground level

    Bent cap

    Bent column

    Abutment

    Abutment

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    4.0'

    20.0'

    8" slab deck

    Ground level

    4"

    railing

    75" = 6.25'8.25'

    30.25'22.0'

    Top of column at mid-

    height of bent cap

    Fully-fixed foundation ("fixed

    foundation springs")

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    22.0'

    Z = -30.25'

    Z = -6.25'Z = -6.083'

    Z = -6.25'Z = -6.083'

    Z = -8.25'

    Z = 0

    X = 80.0'

    Roller bearing

    (X = 0, X = 160')

    Pinned bearing

    Abutment

    Bent

    X

    Z

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    Use Orbto open New File

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    Start Bridge Wizarddefine Layout Line

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    Bentat X = 80 will

    be added later

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    Default

    materials

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    Specify the Frame Sectionsused for the bent cap, bent columns, and girders

    BT-63 Girders

    48"

    36"

    Bent cap:same concrete as

    used in deck30" concrete columns:

    same concrete as used in deck

    Option 1: Fixed column bases (shown)

    Option 2: Pile/cap foundation

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    Frame Sections: bent cap, bent columns, BT-63 girders

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    Define and name the Bent Cap (only one)

    Verify that section

    dimensions are inches

    See the next page for a hidden result of

    selecting a Rectangularconcrete section

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    Selecting a Rectangularconcrete FrameSectionautomatically adds the defaultreinforcing steel A615Gr60 (note default

    sizes, etc.) to the list of Defined Materials

    Confirm by going

    back to Step 3.1 in

    the Bridge Wizard

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    1

    2

    3

    Bent cap parameters and coordinates

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    2

    3 1

    BT-63 girder and coordinates

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    Deck Sections

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    Bearings

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    Keep default

    d.o.f.s

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    Abutments

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    Bearing

    Same abutment named Abutmentsused at both ends of the bridge

    "fixed" abutment

    support

    Recall that the bearings are not part of

    the abutment definitions

    Define and name abutments

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    Columns assumed fixed at ground level

    Bent cap

    Bent column

    Bent

    Bent

    The bentconsists of the bent cap and the bent columns.

    The fixity condition at the base of the column is part of the bent definition. In

    Option 1 the columns are assumed fixed at the ground level, as shown below.

    A different fixity definition will be required in Option 2 (pile/cap foundation)

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    The deck sections in both spans are assumed continuous across the bent cap. This is

    permitted only when both deck sections on either side of the bent are the same.

    The deck sections are supported (at the undersides of the girders) on pinned bearings

    that lie transversely along a single bearing line at the centerline of the cap.

    Assumed bearing condition at the bent

    Deck sections in both spans lie on same bearing line

    Bent cap

    30" concrete columns

    Pinned bearing

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    1

    2

    3

    Cap membercoordinate system

    X

    YZ

    1

    2

    3

    The cap "fits" in bridge such that the

    origin of the cap coordinate system is at

    the left end of the cap, viewed in thestructure +X direction

    Cap coordinate orientation

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    3.0'

    4.0'

    20.0'

    Fixed base

    22.0'5.0' 8.5'

    30"

    Bent cap

    Fixed base

    5.0'

    22.0'

    1

    2

    View from X = 0

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    Bent

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    Define columns on

    next screen

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    Bent column positions, lengths and boundary conditions

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    Line load named RIGHTRAIL:

    Global coordinate system gravity load ( -Z direction )

    Assume 300 lb/foot = 0.3 kip/foot

    Assume applied 9" = 0.75 ft from right edge of bridge

    Z

    XY

    Right edge of bridge

    Left edge of bridge

    "Left" and "right" bridge edges are as seen looking along the bridge

    layout line, in the +X global coordinate direction

    VIEW

    Line load named LEFTRAIL

    (same as RIGHTRAIL)

    Railingssame as used in Example 1

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    Railings as Line Loads

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    Deck sections, bearings, abutments, and the bent will be assigned

    to Bridge Object after the Bridge Object has been created

    Create Bridge Object

    One Bridge Object will include both spans

    Startabutment

    Endabutment

    Layout line

    Layout line length: 160 ft

    Span from start

    abutment to bent

    80 ft

    Span from bent to

    end abutment

    80 ft

    Z

    X

    Bent

    Bearing

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    Define and name Bridge Object Bridge_object

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    Default Bridg e Object Reference Linebased on

    Layout Line defined in Bridge Wizard Step 2

    Add New Bridg e Object opening screen

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    Note that the "Bent" shown above is a generic term.

    It is not the bent Bent_f ixed_basedefined in Bridge

    Wizard Step 4.4. This specific bent will be assignedto the Bridge Object in Wizard Step 7.

    Name the Bridge Object Bridge_object and then divide it into twosegments by inserting a bent at X = 80 ft.

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    Redefined Bridg e Object Reference Line

    This panel could be used to assign

    deck sections, bearings, abutments

    and bent properties.

    However, the Bridge Wizardwillbe used in this example

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    Ful l Span to End Bent

    Start

    abutment

    End

    abutment

    Layout line

    Z

    X

    Bent

    Bearing

    Ful l Span to End Bent Ful l Span to End Abutment

    Assign Deck Sectionto Bridge Object

    It only takes one Deck Sectionassignment for both spansbecause one Bridge Objectincludes both spans

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    Assign Deck_Sectionto Bridge_Object

    This is the only Bridge Objectthat has been defined. It is

    used by default.

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    Since there has been defined only one Deck Section, by default it

    is assigned to both spans included in the Bridge Object

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    Assign Bearings, Abutmentsand Bentto Bridge Object

    Bridge Objectreferences

    In the Bridge Object definition, Start Abutm ent,Bentand End Abutmentare the namesof

    specific points along the layout line

    Start

    AbutmentEnd

    Abutment

    Bent

    StartAbutment

    EndAbutment

    Bent

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    Endbearingsand abutments

    99"73" 71"75" 4"

    4.0' = 48"

    20.0' = 240"

    73"75"

    8" slab deck

    Ground level

    4"

    railing

    Roller bearing Roller bearingPinned bearing

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    Details and dimensions assumed at the start(X = 0) and end(X = 160 ft) abutments

    8" deck slab

    rail

    BT-63 girder

    Z

    X

    Z = - 73"Z = - 75"

    Action point of bearing(assumed at mid-depth

    of bearing assembly)Top surface of abutment

    substructure

    Abutment "fixed"in all 6 d.o.f.)

    Similar for X = 160 ft

    73"75"

    8" deck slab

    rail

    BT-63 girder

    71"

    Z

    X

    Roller bearing

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    Do not "OK" yet

    Assign both bearingand abutment substructureat Start Abu tment ( X = 0 )

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    Repeat at End Abutment ( X = 160 ) - in this example, end abutments are the same

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    Details and dimensions assumed at the bent

    99"

    73" 71"75"

    4"

    4.0' = 48"

    rail

    BT-72 girder

    8" deck

    Pinnedbearing

    bent

    capMid-depth of bent

    cap (top of H-pile

    embedment in

    bent cap)

    Action point of bearing(assumed at mid-depth

    of bearing assembly)

    Z = -73"

    Z = -75"

    Top surface

    of bent cap

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    Assign Bent andBearingto Bridge Object

    Default

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    Bent

    location:

    see

    BridgeObject

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    Bent

    Star t A butment

    X = 0

    End Abutment

    X = 160

    Leftand RightRailingsassigned as Line Loads

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    Assign Line Loads

    Default

    Click empty

    Load Pattern

    cell to begin

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    U d t Li k d M d l t i t th i t j t

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    Update Linked Modelto incorporate the assignments just

    made to the Bridge Object Bridge_object:

    Bearings, Abutments, Bent, Line Loads

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    Note: Could also Update as Spine Model Using Frame Objectsfor most cases.

    This step assembles the Bridge Structura l Modelused for analysis and design

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    Resulting illustration of skeleton Area Object Model

    Area Object Model

    Still in Home Tabbecause Bridge

    Wizardhas been used up to this point

    Note: Could also create a bridge model by Updating

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    Note: Could also create a bridge model by Updatingas Spine Model Using Frame Objectsfor most cases.

    Spine Model Using Frame Objects

    1. Open Bridg e Tab.

    2. Turn off Autom at ic Update.3. Use manualUpdatefrom now on

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    In the Br idgetab, manually Updateto get back to the

    AreaObject Modelfor remainder of this Example

    Default view: 3-d skeletal view

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    Completed model - viewing options and attributes

    Use this portion of Home tab to select and

    control viewing the model

    YX

    Z

    Default view: 3-d skeletal view

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    Rubberband zoom

    (select area to view)

    Restore full view

    Pan (move image

    within view area)

    Resume previous zoom

    Zoom in , Zoom out

    Rotate image (takes some

    getting used to)

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    Toggle between "perspective" and "flat"

    views (doesn't always work!)

    Refresh displayed image(useful at times)

    Select 3-d or planar views for use in

    drawing or editing components

    Move through planes defined by grid

    lines (during drawing or editing)

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    3D and 2D rendering

    views (not used for

    drawing or editing

    components)

    Set Display Options (not all options

    are available at the same time)

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    Switch to Extrude Viewusing Display Options

    Note:

    Extru de Viewdisablessome of the other

    Display Opt ions

    3 d Extru de View

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    3-d Extru de View

    Mostly useful for viewing model to

    verify that it "looks right"

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    Change from 3-d Viewto plane view: XZ ( orXY,YZ)

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    XZperspective view

    Layout Lineorigin

    X

    Z

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    Change from XZview toYZview

    YZ perspective view

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    YZperspective view

    Layout Lineorigin

    Z (up)

    Y

    View from X = 160 toward origin

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    Turn off Perspect ivetoggle

    "Flat" view

    Perspective view

    Toggle

    Try other views and options

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    y p

    P f D d L d l i ( i d d k ili l d )

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    Perform a Dead Loadanalysis (girders, deck, railing loads)

    By default, girder and deck weights are assigned to DEAD load case. The railings were

    specified as DEAD loads when the railing Line Loadswere assigned to the Bridge Object.

    Select Load Case for which analysis is desired

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    Opening

    RunAnalysisoptions

    Toggle

    Act ion

    between

    Runand Do

    Not Run

    Select

    Do Not Run

    Select Load Casefor which analysis is desired

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    Deflected shape: XZview - JointsON, PerspectiveOFF

    Set 3D View:

    XZ

    Deflection reference line

    Deflection at bent due to elastic shortening

    of the bent columns and the piles

    X (U1)

    Z (U3)

    U t i lt

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    Use Displayto see various results

    Draw deflected shape

    Various deflections

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    Various deflections

    X (U1)

    Z (U3)

    U3 = -0.2947 in

    U3 = -0.0263 in

    Moment diagram

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    Moment diagram

    Draw moment diagram

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    L it di l t di (i XZ l ) d t i id f b

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    Longitudinal moment diagram (in XZ plane) drawn on tension side of member

    Manual calculation: maximum negative DL moment

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    10/20/2011 Example2-Two-Equal-Spans-Option1-Final.ppt 87

    Manual calculation: maximum negative DL moment

    Dead loads (kips/foot):

    Girders (BT-63): 4 * 0.743 k/ft = 2.97 k/ft

    Deck: 29 ft * (8 in / 12 in/ft) * 0.15 k/ft3 = 2.90 k/ft 6.47 k/ft

    Railings: 2 * 0.3 k/ft = 0.6 k/ft

    L = 80 ft

    w = 6.47 k/ft

    Mneg(max) = (AISC Manual)

    8

    Lw 2

    Mneg = = = 5176 ft-k ( 4949 by CSI Bridge)8

    Lw 2

    8

    )ft80(ft/k47.6 2

    Why the difference?

    Reactions at base of bent column

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    Reactions at base of bent column

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    10/20/2011 Example2-Two-Equal-Spans-Option1-Final.ppt 89

    Rubberband Zoom

    R = 369.5 kips

    Vertical reaction on column in Y region

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    Axial forces in columns

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    Put pointer on joint:

    Column force = -369.5 kips

    R = 369.5 kips ( Slide 89 )

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    Axial force diagram

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    10/20/2011 Example2-Two-Equal-Spans-Option1-Final.ppt 93

    Rubberband Zoom

    R = 369.5 kips

    ( Slide 89 )

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    Save your CSI Bridge .bdb file in twoversions:

    Save as: Example2-Two-Equal-Span-Option1.bdb

    This is the option just completed in which the two columns are fixed at

    their bases

    Save as: Example2-Two-Equal-Span-Option2.bdb

    This will be the starting point for the next option in which pile-cap/piles

    foundation will be used