example2 two equal spans option1 final
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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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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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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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8/13/2019 Example2 Two Equal Spans Option1 Final
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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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8/13/2019 Example2 Two Equal Spans Option1 Final
94/94
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
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