Click in nodal connectivity field and click on nodes 7,1,4.. Right click on Diaphragm section from Works Tree Menu and select Active.. Create Rigid Link between top and bottom nodes on t
Trang 1Bridging Your Innovations to Realities
Trang 2Overview
1 The bridge geometry is made
1 Materials and sections are defined
2 Geometry is made from scratch
3 Crossbeam/ diaphragm modeling
4 Boundary conditions are applied
5 Loading is applied (Self weight and SIDL)
2 Live Loads are applied as per AASHTO LRFD
1 Two lanes is defined
2 The lane can carry vehicles in both directions
3 Analysis
1 Response Spectrum
2 Live load
Trang 41 Introduction
• FEA Modeling of Steel Bridges
1 Beam Element (Composite Section)
2 Beam & Plate Elements
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Properties> Material > Add
Steel:
1 Select Steel under type of design
2 Select ASTM09(S) under Steel
Standard
3 Select A709-50W type from DB
4 Click Apply
Concrete:
5 Select Concrete under type of design
6 Select ASTM(RC) under Concrete
Standard
7 Select C5000 (for pier and pier table)
8 Click Apply
Concrete for Crossbeam:
9 Select C5000 from DB, then Standard
as None
10 Enter Name as Crossbeams
11 Set Weight density as Zero
Trang 63 Plug in dimensions as provided
4 Click Change Offset
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Properties > Section > Add > DB/User
Diaphragm:
1 Select BD/User tab
2 Select ‘I-Section’, and ‘DB’
3 Select AISC(US) under Steel Standard
4 Enter name Diaphragm, as W16X45 from
Trang 8Properties> Section > Add
Bracing:
1 Select DB/User tab
2 Select ‘Angle Section’, and ‘DB’
3 Select AISC(US) under Steel Standard
4 Enter name as Bracing, and L- 4X4X3/8
from DB
5 Set Offset as Center-Center
6 Click Apply
Pier :
7 Select DB/User tab
8 Select ‘Solid Round’
9 Select User
10 Enter name as Pier
11 Enter Diameter as 72 in
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Properties> Section Add Section
Pier Cap: (P_L)
1 Select Tapered Section Tab
2 Select Solid Rectangle section for the ends of Pier Cap
3 Enter name as P_L for left end
4 Enter values for i and j
5 Apply y and z axis variation for linear
6 Set Offset Center Top
7 Click Apply Repeat above step s again for the other end of cap(P_R) (i and j
end interchanged) Dummy Crossbeams:
1 Select DB/User tab
2.Select Solid Rectangle
3 Enter name as Dummy Crossbeams
Trang 10Properties > Thickness
1 In-plane & Out-of-plane: 8 in
2 Check Plate offset
Trang 124 Modeling
1 Node/Element > Nodes > Rotate Nodes Rotate nodes at abutment 1 (left side)by 30 º first
2 Then abutment 2 (right side) by - 30º
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1 Node/Element > Elements > Create Line Elements on Curve Create Line Elements on Curve by using
Arc by 3 Points methods Enter 40 for Number of Segments Click in field P1 and then click on nodes from left to right (like nodes 1, 2, 3)
2 Repeat for the other four girders
1
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1 Create diaphragms for Abutment 1 Click in nodal connectivity field and click on nodes 7,1,4
2 Repeat step 1 for diaphragm over Pier Cap and Abutment 2
3 Repeat Step 1 for every 4 th node (diaphragm at pier cap) on inner edge girder with section as Bracing as shown
Over Pier cap Diaphragm Sections
Toggle off Hidden
Trang 164 Modeling - End Diaphragm
1 Right click on Diaphragm section from Works Tree Menu and select Active Then Select All and translate
(Node/Element > Nodes>Translate) along Z axis by (0,0,-76.8”), to make the nodes for Bottom chords of
Trang 1718
3 Change element type to Truss and create inverted K- bracings for end diaphragms by snapping nodes at the mid
points of the bottom chord.*
4 Click in Nodal connectivity Click node at top and then move down to the bottom chord, the cursor will
automatically be placed at its mid point, and click there.*
5 Repeat for all end-diaphragms (i.e at pier cap and abutment 2)
* 2 signifies that nodes will be snapped automatically to divide the element into ½ It can be changed to 3,4,5,,,,, to divide element by snapping nodes at 1/3 , ¼,1/5 ,….of element length
At bottom-right corner of midas CIVIL window
3
Trang 186 Boundary>Rigid Links Create Rigid Link between top and bottom nodes
on the girder webs at Abutment 1 diaphragm; the bottom node as Master node and top node as Slave node
7 Click in Master node field and then click on bottom node in Model View
Trang 1920
1 Activate All and right click on Bracing section from Works Tree Menu and select Active Then Select by Window the
member corresponding to intermediate diaphragm
2 Click Activate(F2) Select All and Translate nodes (Node/Element > Nodes>Translate) along Z axis by (0,0,-74.4”) , to
make the nodes for the bottom chords of intermediate diaphragms
3 Node/Element > Elements > Create Elements Create bottom chords by connecting the translated nodes using bracing
sections
1
Trang 204 Change element type to truss and check off intersect Node and Element and create cross bracings for
intermediate diaphragms
5 Click in Nodal Connectivity Click node at top and then move down diagonally to the bottom chord
6 Repeat for all intermediate diaphragms
4
4 Modeling - Intermediate Diaphragm
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7 Boundary > Rigid Links Create Rigid Link between top and bottom nodes
on the girder webs at intermediate diaphragms The top node as Master node and bottom node as Slave node
8 Click in Master node field and then click on top node in Model View window
9 Use Select Single to select the node directly below Master node as
Trang 22Node/Element > Elements >Auto Mesh
1 Select Nodes
2 Type: Quadrilateral
3 Select Material 1
4 Select Thickness 1
5 Click the box to turn to green
6 Select nodes one by one in clockwise direction starting from left top
node to create an enclosed area (so the 1 st node and the last node should be the same)
7 When all nodes selected > Click Apply
Trang 2324
6
7
Trang 244 Modeling - Pier
1
A
1 Activate All Switch to Top-View Select by Window Select member corresponding to end diaphragm
over pier cap (Box A)
2 Click Activate(F2) and switch to Left-View
2
Trang 2526
2
3
Node A Girder bottom Nodes
1 Use Select Single and select the bottom nodes of the girders
2 Translate by (0,0,-12.4) Node/Element > Nodes>Translate
3 Select node A using select single, and translate through unequal distance along y axis by -36,-138,210,138
Trang 264 Modeling
1 Node/Element > Elements>Create Elements Set material as C5000
2 Create Pier Cap left end using Section as P_L ,click in nodal connectivity and click on nodes along a to c
3 Change Section to Pier Cap Center, click in nodal connectivity and then click nodes c to e
4 Change Section to P_R , click in nodal connectivity and then click on nodes e to g
1
Trang 2728
1 Properties>Tapered Section Group
2 Select by window the right end of pier cap
3 Enter name as P_Right
4 Z-Axis variation as Polynomial (2) with Symmetric plane
from J end
5 Y Axis variation being Linear
6 Click Add
7 Select by Window the left end of Pier Cap
8 Name as P_Left and Z axis symmetric plane from I-end
Trang 284 Modeling
1 Node/Element > Nodes>Translate Translate node a by (0,0,-72 in)
2 Using Select Single, select the translated node
3 Node/Element > Elements>Extrude Extrude Node into line element to create pier as shown in dialog box
Node a
Newly Translated node
1
1
2
3
Trang 2930
1 Boundary > Elastic Link
2 Select Rigid Type
3 Click in 2 Nodes field and then click at nodes a and b
4 Check on Copy Elastic link and copy along Y axis as shown
5 Click on nodes c and d
Trang 306 Boundary Conditions: Supports
Model > Boundary> Supports
1 Select the support nodes
2 Select Support type
3 Click Apply
Repeat for abutment nodes
2
Trang 3132
Load>Static Load Cases
1 Enter SW, SIDL as Dead Loads
Trang 324 Select the elements to be loaded For example,
for Girders, double click on girder section from Works Tree
5 Load>Element Beam Load Load case name as
SIDL
6 Enter element beam loads as UDL in z direction
-0.5 kips/ft (Change units from in to ft)
Trang 3334
1 Click on Groups tab under Tree menu
2 Right click on Structure group and click on New…
3 Enter name as Girder, click add
4 Enter name as Crossbeams + Diaphragms, click add, click close
5 Click on Select by Plane and select XY plane with Z=0 ft and click
Close
6 Click Activate
7 Double click on Girder under section in Works tree to select all girders
8 Go to groups tab, click on Girder under structure group and drag and
drop it over the Model View window (to assign the girder members
to the structure group.)
9 Right click on Girder structure group and select Inactive
10 Click on Select All and drag and drop the Crossbeam +
Diaphragm structure group on Model View window to assign the
diaphragms and crosbeams to the structure group
Trang 347 Loads: Live Loads (Define Lane)
Load > Moving >Moving Load Code
1 Select AASHTO LRFD from the moving load code
Load > Moving Load Analysis > Traffic Surface Lanes
1 Lane Name : Lane 1
2 Lane width: 12 ft
3 Wheel spacing:6ft
4 Offset: -7 ft
5 Selection by: Picking
6 Select all exterior nodes in bottom one by one starting from left bottom corner
7 Apply
8 Repeat the process for Lane 2 Only change Eccentricity to -23 ft
Trang 3536
Load > Moving Load Analysis Data> Moving
Load case
5 Enter a Load case name: MVL
6 Check or modify Multiple Presence Factor
7.Select loading effect for sub load case as
Independent
8 Add Sub-Load case
9 Select one of the vehicles
10 Scale factor as 1, and min number of loaded
lane as 1 and max as 2
11 Select lanes L1 and L2
1 Click Add Standard
2 Click on Vehicle load type
3 Select HL-93 TRK as first vehicle load
type., DLA = 33%,Click Apply
4 Select HL-93 TDM as second vehicle
load type Click OK
Trang 367 Loads: Moving Load analysis Control
Analysis> Moving Load Analysis Control Data
1 Set the analysis control as specified in the dialog box
1
Trang 3738
Load > Static Loads > Masses > Loads to masses
1 Select the Mass direction :X,Y,Z
2 Load type: Nodal, Beam, Floor, Pressure
3 Select the Load case (SIDL) to be converted and scale factor
4 Click Add
5 Click OK
Model> Structure type
6 Check on Convert Self Weight into Masses
Trang 388 Response Spectrum Analysis
1
2
3
4
Trang 3940
Load> Response Spectrum analysis data > Response spectrum load cases
1 Enter the Load case name RS-X
2 Select Direction and Excitation angle as 0 deg
3 Select Function name
4 Click Add And repeat with Load case name as RS-Y and Excitation angle as 90 deg
5 Click Eigenvalue Analysis Control
6.Select Lancoz Vectors as type of Analysis
7 Enter no of frequencies as 10
7
Trang 409 Perform analysis
Analysis > Perform Analysis