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MIDAS

Technical Material

Tutorial Single Span PSC Composite I Girder Bridge

00 Contents

2-Span PSC Composite I Girder Bridge

 Step 1: Initial Setting  Step 2: Material & Section Definition  Step 3: Geometric Modelling

In this tutorial we will learn the following things: - How to generate composite sections in midas Civil.

 Step 4: Group Definition

- How to assign static and prestress load in midas Civil.

 Step 5: Boundary Definition

- How to define moving load as per IRC 6:2000 in midas Civil.

 Step 6: Load Definition

- How to define construction stages in midas Civil.

 Step 7: CS Definition

- How to define composite section for construction stages in midas Civil.

 Step 8: Analysis Control

- How to interpret the tendon losses, forces, stresses represented by midas Civil.

 Step 9: Reinforcement  Step 10: Analysis

 Step 11: Result  Step 12: PSC Design

Program Version Revision Date

Civil 2018 (v2.3) June 13, 2018

- How to perform PSC Girder design and RC Pier and Pier Cap design

Step

00

Overview

    

Bridge Type: Span Length: Width: Moving Loads: Time Dependent Material:

PSC composite bridge (Composite I + girder) 22.8-m, 2-Span 9m IRC-6:2000 IRC-112:2011

2-Span PSC Composite I Girder Bridge

3

Step

01

1 Initial Setting Procedure

1

2 3

Invoke midas Civil 1

Open New File

2

Save as ‘2-Span PSC Bridge’

3

Go to > “Tools”

4

Click on “Unit System”

5

Select the unit system [m, kN(ton),

4

5

Celcius] 6

Click on OK

6

.

2-Span PSC Composite I Girder Bridge

4

Step

02

2-1 Modeling – Material Properties Procedure

1

Go to > “Properties”

2

Click on “Material Properties”

3

Click on “Add” to define materials

6

1 2

Define Material data as: 4

5

6

7

Name > M40 Type of design> Concrete Concrete Standard > IS (RC) DB: M40 Click on Apply Name> Tendon Type of Design: Steel Steel Standard: IS(S) DB: Fe540 Click on Apply Name > Dummy Type of design: User defined Standard: None Modulus of elasticity: 2.7e7 Poisson’s ratio: 0.2 Thermal Coefficient: 1e-5 Weight density: 0

3

4 5

7

Click on “OK” to close

2-Span PSC Composite I Girder Bridge

5

Step

02

2-2 Material & Section Definition – Time Dependent Material Properties (Creep &Shrinkage) Procedure

1

Go to “Properties”

2

Creep/Shrinkage

3

Click on “Add” to define properties 4

3

1 2

Name > M40 Code > INDIA (IRC:112-2011) Compressive strength of concrete at

4

the age of 28 days > 40000 kN/m2 Relative Humidity of ambient environment (40–99) > 70 Notional size of member > 1m Age of concrete at the beginning of shrinkage > 3 days 5

Click on “Show Result” to see the graph

6

7

5

7

Click on “Close”

Click on “Close” 6

Note: To get the creep & shrinkage strains, the value of relative humidity is to be considered as 70%, Notional size of member, h as 1000mm and Age of concrete at the beginning of shrinkage as 3 days. Later, the h value would be automatically updated for composite sections

2-Span PSC Composite I Girder Bridge

6

Step

02

2-3 Material & Section Definition – Time Dependent Material Properties (Comp. Strength) Procedure

1

Go to “Properties”

2

Click on “Comp. Strength”

3

1

3

2

Click on “Add” to define properties 4

Name > M40 Type > Code Development of Strength > Code > INDIA (IRC:112-2011)

4

Mean compressive strength of concrete at age of 28 days (fck+delta_f) > 40000+10000 kN/m2

7

5

Click on Redraw Graph

6

Click on OK

Click on Close

5

6

2-Span PSC Composite I Girder Bridge

7

Step

02

2-4 Material & Section Definition – Time Dependent Material Properties (Material Link) Procedure

1

1

Go to “Properties”

2

Click on “Material Link”

3

Time Dependent Material Link Data

4

2

for M40 3

Creep/Shrinkage > M40 from list

4

Comp. Strength > M40 from list

5

Double click on M40 under

5

Materials to shift it to the Selected Materials list 6 7

Click on “Add / Modify”

Click on “Close”

6

7

Any time during the modeling, analysis and design stage, invoking F1 key takes you to web help.

2-Span PSC Composite I Girder Bridge

8

Step

02 3m 0.25m 0.15m 0.5m 0.10m 1.20m

0.30m 0.10m

0.15m

0.45m

Girder Section

2-Span PSC Composite I Girder Bridge

9

Step

02

2-5 Material & Section Definition – Section Properties (Girder) Procedure

1

Go to “Properties”

2

Click “Section Properties”

3

Click on “Add...”

4

Click on tab “Composite”

5

Define Section:

4

1 2

5

3

Name > Girder Section Type > Composite-I Slab: Bc > 3m, tc > 0.25, Hh > 0 Click on “Symmetry” See the PSC Viewer and enter the section dimension parameters HL1: 0.15, BL1: 0.15, HL2: 0.1, BL2: 0.5, HL3: 1.2, BL4: 0.45, HL4: 0.1, HL5: 0.15 6

Click on “Select material from DB…” Concrete material for slab: DB: IS(RC) Name: M30 Concrete material for Girder: DB: IS(RC) Name: M40

7

6

8 7

Click “Change Offset” Select Offset : Center- Top

8

Click on “Apply”

Note: The internal Process of section offset is explained in the help file . Path: Help > Contents > Start > Model > Properties > Section, When Section tab is opened under offset, click on ‘Details’

2-Span PSC Composite I Girder Bridge

10

Step

02

2-6 Material & Section Definition – Section Properties (Diaphragm) Procedure

1

Click on “Add..” from Section

1

2 3

Properties Dialogue box 2

Click on tab “DB/User” 3

4

5

6

Name > End Diaphragm Section Type > Solid Rectangle Select “User” H > 1.4m, B > 0.4m Click “Change Offset” Select Offset : Center- Top Select Vertical Offset: “User” Enter value of I: > -0.25 User offset Reference: Extreme fiber(s) Click on “Apply” Name > Internal Diaphragm Section Type > Solid Rectangle Select “User” H > 1.4m, B > 0.3m Click “Change Offset” Select Offset : Center- Top Select Vertical Offset: “User” Enter value of I: > -0.25 User offset Reference: Extreme fiber(s)

4

5

6

Click on “OK”

2-Span PSC Composite I Girder Bridge

11

Step

02

2-7 Material & Section Definition – Section Properties (Dummy Sections) Procedure

1

Define Dummy Cross Beams: 1

4

Click on tab “DB/User” Name > Dummy Cross Beams Section Type > Solid Rectangle Select “User” H > 0.25m, B > 1m Click “Change Offset” 2

Select Offset : Center- Top Click on OK

3

Click on Apply

Create Dummy Crash Barriers: 4

Name > Dummy Edge Beam H > 0.25m, B > 0.25m

5

Click on OK 3

5

2

Note: Invoke the section data window by following Steps 2 to 5 in Page 10.

2-Span PSC Composite I Girder Bridge

12

Step

03

3-1 Geometric Modelling – Create Nodes Procedure

1

Click on “Node/Element” of Main

1 2

Menu 2

Click on “Create Nodes”

3

Go to “Tree Menu” 3 4

Coordinates (x,y,z) > 0,0,0

Click “Apply” and “Close”

4

Note:

1) To input the node co-ordinates in table, go to Tree Menu> Tables> Structure Tables> Node 2) To create User defined coordinate system go to Structure > UCS

- To display node number click Or Press (CTRL +E) Check > Node > Node number Click > OK - To display element number

2-Span PSC Composite I Girder Bridge

13

Step

03

3-2 Geometric Modelling – Extrude Elements Procedure

1

Click on “Select All

2 3

” to select

the node no.1 2

Click on “Node/Elements”

3

Click on “Extrude” Go to “Tree Menu”

4

Select Extrude Type “Node -> Line

1 4

5 6

Element” 5

Select Element Type “Beam”

6

Generating Elements: Select Material “M40” Select Section “Girder” Select Generation type “ Translate” Select Translation “Unequal Distance” Select Axis “X” Distances > 0.4,11,11,0.4 (refer Pg.6) Click “Apply”

7

Click on “Close”

7

2-Span PSC Composite I Girder Bridge

14

Step

03

3-3 Geometric Modelling – Translate Elements Procedure

1

3 4

To view the model in isometric view Click on 2

5 2

Click on “Select All

to select

the girder element

1 6

To copy the girder twice along +Y direction at a space of 3m each 3

Click on “Node/Element”

4

Click on “Translate Element”

5

Go to “Tree Menu” > Mode “Copy”

6

Translation “Equal Distance” dx,dy,dz > “0,3,0” Number of times “2”

7

8

Check on “Intersect Node , Element, Copy Node Attributes, Copy Element Attributes”

7

Click “Apply” 8

Single Girder copied twice in +Y direction Spaced at 3m 2-Span PSC Composite I Girder Bridge

15

Step

03

3-4 Geometric Modelling – Create Elements (External Diaphragms) Procedure

1

2 3

To view the model in Top view Click on

4 2

Click on “Node/Elements”

3

Click on “Create Elements”

1

Go to “Tree Menu” Generating Elements - End Diaphragm: 4 5

6

Element Type > General Beam/ Tapered Beam Select Material > “M40” Select Section > “End Diaphragm”

30

41 5

Check Node and Element check box 2

7

13

Click in Nodal Connectivity box & then Click on Node no. 2 and 30 to create end diaphragm between those two nodes

7 2,30

Similarly create End diaphragm between Nodes 13 and 41 8

6 8

Click on “Close”

Girders with End Diaphragms

2-Span PSC Composite I Girder Bridge

16

Step

03

3-5 Geometric Modelling – Create Elements (Internal Diaphragm) Procedure

1

2 3

To view the model in Top view Click

4

on

2

Click on “Node/Elements”

3

Click on “Create Elements” Go to “Tree Menu”

1 35

Generating Element – Internal Diaphragm: 4 5

6

7

8

Element Type > General Beam/ Tapered Beam Select Material > “M40” Select Section > “Internal Diaphragm”

7 5

Check Node and Element check box Click in Nodal Connectivity box & then Click on Node no. 7 and 35 to create internal diaphragm between those two nodes Click on “Close” 7 6

Girders with End & Internal Diaphragms

8

2-Span PSC Composite I Girder Bridge

17

Step

03

3-6 Geometric Modelling – Divide Elements (Cross Beams) Procedure

1

4 5

To view the model in Top view Click on 2

2

Click on “Select Single



3

Select 11m girder elements 2 to 12

4

Click on “Node/Elements”

5

Click on Element “Divide”

1 6 7

Go to “Tree Menu” 6

Select Element Type “Frame”

7

Select “Equal Distance”

8

Select Number of Divisions > 2

9

Click “Apply” and “Close”

3

8

9

Girders Segmented into 2 segments each 1 m 2-Span PSC Composite I Girder Bridge

18

Step

03

3-7 Geometric Modelling – Create Elements (Cross Beams) Procedure

3

1

Click on “Select Single

2

Select the indicated Girder nodes

3

Go to “Node/Element”

4

Select Element “Extrude”

5

4



1

9 5

Go to “Tree Menu”

6

Select Extrude Type “ Node -> Line Element”

7

6

Select Element Type “Beam”

7

Generating Elements: Select Material “Dummy” Select Section “Dummy” Select Generation type “ Translate” Select Translation “Equal Distance” Distances > 0,-1.5,0

Nodes Extruded in - Y direction @ 1.5m

Number of Times > 1 8

9

Click “Apply”

Click on “Select previous ” to select the previously selected nodes

10

Select Translation “ Unequal Distance” Axis > y Distances > 3,3,1.5

11

Click “Close”

10

Nodes Extruded in +Y direction @ 3,3,1.5m

8

11

2-Span PSC Composite I Girder Bridge

19

Step

03

3-8 Geometric Modelling – Modelling Checks Procedure

3

3

4 1

Check in Message Window for Warning about overlapping of elements

5

2

6

To delete these duplicated elements 2

Click on “Select All



3

Go to > “Structure”

4

Click > “Check/Duplicate Elements” The duplicated elements would automatically be deleted 7

To make sure all the Girders Cross Beams are intersected 8 5

Go to > “Node/Elements”

6

Click Element “ Intersect”

7

Let the Tolerance be as default

8

Click “ Apply” 1

2-Span PSC Composite I Girder Bridge

20

Step

03

3-9 Geometric Modelling – Create Elements (Dummy Edge Beams) Procedure

1

To view the model in Top view Click

2 3

on

2

Click on “Node/Elements”

3

Click on “Create Elements”

4 1

Go to “Tree Menu” Generating Elements – Dummy CB : 4 5

Element Type > General Beam/ Tapered Beam Select Material > “Dummy” Select Section > “Dummy Edge Beam”

6

Check Node and Element check box

7

Click in Nodal Connectivity box & then Click on Node no. 101 and 114 to create dummy element between those two nodes

5

7

Similarly create element between Nodes 54 and 67

101,114

6 8

Click on “Close”

8

Dummy Edge Beams for Crash Barrier Loads 2-Span PSC Composite I Girder Bridge

21

Step

04

4-1 Group Definition – Creating Groups Procedure

1

Go to Tree Menu2 > Group Tab

2

Right click “Structure Group” >

1

2

3

New… Name: CS1 - Superstructure & “Add” CS2 – Diaphragm& “Add” CS3 – Dummy & “Add” Cross Beam - Moving Load & “Add” Click “Close” 3

Right click “Boundary Group” > 4

New…

4

Supports & “Add” Bearings & “Add” Rigid Link Click “ Close”

Right click “Load Group” > New… SW & “Add” SIDL & “Add” Crash Barrier Load & “Add” Wet Concrete Span & “Add” Span 1 PS & “Add” Span 2 PS & “Add” Span 3 PS & “Add” Click “ Close”

Note:

Structure groups, Boundary groups and Load groups are especially dedicated to Construction Stage analysis (of a sequential bridge construction) where each part of the total structure erected in each stage needs to be identified as a different structure from those of other stages.

2-Span PSC Composite I Girder Bridge

22

Step

04

4- Group Definition – Creating Groups Procedure

Click, Drag and Drop

2 1

Click on the top View button to switch to

1

4

top view.

Go to “Tree Menu”

Click “Group Tab” Under “Structure Group” 2

Assigning CS1 Group Select elements and nodes as shown in CS1 figure, drag & drop the Structure group “CS1 - Superstructure” over the

Model View window

3

CS 1

Click on the Top View button to switch to top view.

4

Assigning CS2- Diaphragm Group Select diaphragm elements (figure,

CS 2

drag & drop the Structure group “CS2 Diaphragm” over the Model View window

Note: Structure groups can be defined in Define Structure Group first. Next, the desired nodes and elements can be selected in the Group tab of the Tree Menu and assigned to the groups by Drag & Drop.

2-Span PSC Composite I Girder Bridge

23

Step

04

4-3 Group Definition – Creating Groups Procedure

1

Click, Drag and Drop

Assigning CS3- Dummy group Select dummy elements as shown in CS3-Dummy figure, drag & drop the dummy group “CS3 - Dummy” over

the Model View window

2

Cross Beam- Moving Load Use filter selection at the bottom in y-direction and click on “Select all” 1

CS 3-Dummy Element No.s “57to82 84to87 89to93 95to107 109to112 114to118 120to156 179to226”

Cross Beams- Moving Load

Element No.s “57to82 84to87 89to93 95to107 109to112 114to118 120to156”

2-Span PSC Composite I Girder Bridge

24

Step

05

5-1 Boundary Definition – Translate Elements (Top Bearing Nodes) Procedure

1

Go to Node/Element

2

Click on “Translate”

3

Click on “Select Single“ to select top girder nodes 2,16 and 30.

1 2

3

4

5

Mode “Copy” Translation “Equal Distance” dx, dy, dz : 0,0,-1.95 m Click on “Apply” and Close

30 4

16

Note: 1.95m is total depth of the Girder & 0.3m is the height of the bearing Click on “Apply”

2

Similarly for other end select node 13,27 and 41 Repeat steps from 3 to 5

5

Created top bearing Nodes

2-Span PSC Composite I Girder Bridge

25

Step

05

5-2 Boundary Definition – Translate Nodes (Bottom Bearing Nodes) Procedure

1

Go to Node/Element

2

Click on “Translate”

3

Go to “side view”

4

Click on “Single by window“ to select bottom girder nodes 127,128 and 129.

1 2 3

4

Mode “Copy” Translation “Equal Distance” dx, dy, dz : 0,0,-0.3 m

5

Click on “Apply” and Close Note: 1.95m is total depth of the Girder & 0.3m is the height of the bearing. Click on “Apply”

5

2-Span PSC Composite I Girder Bridge

26

Step

05

5-3 Boundary Definition – Defining Rigid Links Procedure

1

Click “Boundary” in Main Menu

2

Click “Rigid Link…”

3

Go to “Tree Menu” Select Boundary Group Name “Rigid Link”

1 2 3

4 4

Click on “Master Node Number: Text Box” . Note the text box changes to pale green color. Now Click on Node no. 2 in model window

5

Click on “Select Single” to select Node No.127 which would be the slave node.

6

Click on “Rigid Body” Check “Copy Rigid Link” Select Axis “Y” Enter Distances: “3,3”

7

Click to “Apply”

8

Repeat Steps 3 to Step 7 for Node no. 41

Rigid Links Created 6

5 7

44

2-Span PSC Composite I Girder Bridge

27

Step

05

5-4 Boundary Definition –Defining Elastic Links (Bearings) Procedure

1

Click “Boundary” in Main Menu

2

Click “Elastic Link…” Go to “Tree Menu”

3

Boundary Group Name “Bearing Span1”

4

Elastic Link Type : “General”

5

Enter “SDx” > 10e8 kN/m Enter “SDy” , “SDz” , “SRx” , “SRy” , “SRz” > 100 kN/m (kN*m/[rad])

6

1 2 3

4

5

Check “Copy Elastic Link” Select Axis “Y” Enter Distances: “3,3”

7

Click in “2 Nodes:” text box and Click on Node No. 127 & then No. 133 to create Elastic Link between them

7 6

Repeat Steps 6 & 7 for Node 132&138 8

127,133

Click on Close 8

Elastic Links Created 2-Span PSC Composite I Girder Bridge

28

Step

01

Modeling >

Boundary Conditions

Model Generation – Assigning Support conditions 1

1 2

Go to “Boundary” 3

2

Go to “Define Supports”

3

Boundary Group Name “Substructure Support” Click on “Select Single “ to select bottom nodes shown in figure

4

Check “D-ALL” and “R-ALL”

5

Click “Apply”

4

Boundary conditions created

2-Span PSC Composite I Girder Bridge

29

Step

06

6-1 Load Definition – Defining Static Load Cases Procedure

1

Go to “Load” tab

2

Click “Static Load Cases”

3

Define Static Load Cases

1 1

2

2

Name : “SW” Type : “Construction Stage Load(CS)” Description : “Self Weight” Click “Add” 3

Name : “SIDL” Type : “Construction Stage Load(CS)” Description : “Wearing Course” Click “Add” Name : “Crash Barrier” Type : “Construction Stage Load(CS)” Description : “Crash Barrier” Click “Add” Name : “Wet Concrete Load” Type : “Construction Stage Load(CS)” . Description : “Wet Concrete Load” Click “Add” Name : “Prestress Load” Type : “Construction Stage Load(CS)” Description : “Prestress Load” Click “Add”

4

Click “ Close”

4

2-Span PSC Composite I Girder Bridge

30

Step

06

6-2 Load Definition – Assigning Static Load Cases (SW & Crash Barrier Load) Procedure

Assigning Self Weight 1

Go to “Load” tab

2

Click “Self Weight…” 3

4

Go to “Tree Menu” Go to “Load” Select Load Case Name “Self Weight” Select Load Group Name “SW” Enter Self Weight Factor, Z : “-1” Click “Add” Click “Close”

1

2

4

5 3

Assigning Crash Barrier Load Go to “Load” tab Click “Element” 5

Go to “Tree Menu” Go to “Load” Select Load Case Name “Crash Barrier” Select Load Group Name “Crash Barrier” Select Load Type “Uniform Loads” Select Load Direction “Global Z” Enter w “-2.5” KN/m

6

In “Tree Menu 2” > “Works” tab , double click “Section: 8.Dummy Edge Beams ” to select the edge beam Elements

7

Click “Apply” 7

2-Span PSC Composite I Girder Bridge

31

Step

06

6-3 Load Definition – Assigning Static Load Cases (SIDL) Procedure

1 2

1

Go to “Load” tab

2

Click Static Loads > Beam Load > 3

“Element” 3

Go to “Tree Menu” Go to “Load” Select Load Case Name “SIDL” Select Load Group Name “SIDL” Select Load Type “Uniform Loads” Select Load Direction “Global Z” Enter w “-5.175” KN/m

4

In “Tree Menu 2” > “Works” tab , double click “Section: Girder” to select the Main Girder Elements

5

Click “Apply”

5

2-Span PSC Composite I Girder Bridge

32

Step

06

6-4 Load Definition – Assigning Static Load Cases (Wet Concrete) Procedure

1 2

Assigning Wet Concrete Load Span 1 1

Select Girder of Span 1 Select Load Case Name “Wet

3

Concrete” Select Load Group Name “Wet Concrete Span 1” Select Load Type “Uniform Loads” Select Load Direction “Global Z” Enter w “-18.8” KN/m

Note: Invoke the Element Beam Loads window by following Steps a & 2 in Page

5

2-Span PSC Composite I Girder Bridge

33

Step

06

6-5 Load Definition – Defining Tendon Property Procedure

1

Go to “Load” of Main Menu

2

Click “Temp/Prestress”

3

Click “Tendon Property”

4

Click “Add”

5

Enter Tendon Name “Tendon” Select Tendon Type “Internal(PostTension” Select Material “Tendon” Click “ ” in the dialog box for Total Tendon Area Select Strand Diameter “15.2mm(1x7)” Enter Number of Strands “8” Click “OK” Enter Duct Diameter “0.09”mm Select Relaxation Coefficient “India (IRC:112-2011) – Normal”

1 3 2

4 5 6

7

Click “OK” 7

Click “Close”

2-Span PSC Composite I Girder Bridge

34

Step

06

6-6 Load Definition – Defining Tendon Profile Procedure

1

1 2

Right click on Toolbar to Invoke “Tree Menu 2” Go to > Group Tab > Right Click Structure Group “ CS2 “ > “Activate”

2

Go to “Load” > “Temp/Prestress” > Tendon Profile and Click “Add”

3

Defining Tendon Profile “G1T1” 3

4

5

Tendon Name > “G1T1” Tendon Property > Tendon Assigned Elements > 1 to 13, 46to 56 or select as indicated from “Model View “ Input Type > “3D” Curve Type > “Spline ” Reference Axis > “Element” Note: Open excel sheet “Cable Coordinates” *From excel sheet copy Tendon Coordinates for “G1T1” Paste on “Input Table” Select Point of Symmetry “Last” Click “Make Symmetric Tendon” Select Profile Insertion Point “End-I” & Enter element no. “1” in the text box Click “OK”

Select Elements 1 to 13 , 46 to 56

4

5

Repeat Step 2 to Step 5 to generate Tendon G1T2 , G1T3-L & G1T3-R Note: An insertion point is used as a point of reference for the tendon profile in the Global Coordinate System (GCS). Only one profile is needed for a precast beam in spite of the number of elements (four in this example) that we are using to model it.

2-Span PSC Composite I Girder Bridge

35

Step

06

6-6 Load Definition – Defining Tendon Profile Procedure

Copy Girder 1 tendons to Girder 2 1

Select the tendon profiles G1T1, G2T2, G3T3-L , G3T3 –R from Tendon profile dialogue box

2

3

2

Click “Copy/Move” 3

4

4

Mode > Copy Equal Distance > (0,3,0) Click “OK”

Rename the profile names Select “G1T1-Copy” > “Modify “Rename to “G2T1” > Click “OK “ Similarly Rename G1T2-Copy, G1T3-L Copy, G1T3 -R-Copy as G2T2, G2T3-L, G2T3-R respectively. Copy Girder 1 tendons to Girder 3 5

6

Repeat Step 1 & 2 Mode > Copy Equal Distance > (0,6,0) & Click “OK”

Rename G1T1-Copy, G1T2-Copy, G1T3-L Copy, G1T3 -R-Copy as G3T1, G3T2, G3T3-L, G3T3-R respectively. 2-Span PSC Composite I Girder Bridge

36

Step

06

6-7 Load Definition – Assigning Tendon Prestress Loads Procedure

1

Go to “Load” > “Temp/Prestress”

2

Click “Tendon Prestress”

3

Change Unit to N and mm

4

Go to “Tree Menu” Load Case Name “Prestress Load” Load Group Name “Span 1 PS1”

5

Hold down “Ctrl Key” and Select Tendons G1T1 , G2T1 , G3T1 Click on “>” to select the Tendons

6

Input by “Stress” Select Jacking “Both” Enter Begin “1395” N/mm2 Enter End “1395” N/mm2 Grouting After “ 1” Stage

7

Click “Add”

8

Similarly define Prestress Loads for remaining tendons as per the Load Group name categorized in the table given.

2 1

4

5

6

7 3

2-Span PSC Composite I Girder Bridge

37

Step

02

Load >

Defining Loads – Construction Stage Loads

Construction Stage Analysis This function allows us to define necessary construction stages to analyze a bridge structure reflecting the effects of evolving structure configurations and elastic and time dependent (creep and shrinkage) displacements.

Stage

Details Structure

CS 1

1

Boundary Load

CS2 Each construction stage is identified with activated (or deactivated) element, boundary and load groups. Each stage retains a unique element group, a boundary group and a load group, forming an interim independent structure. The stage information that was difficult to define in Wizard can now be added or modified using this function.

Days

14

1) Girder of Span are activated 2) Girders of Span are supported on Supports( Rigid Link, Elastic link activated) 3) SW is activated and 2 tendons in each girder are stressed. 1) Casting of Slab for span begins at the 1st day of CS2, hence wet concrete load of the slab & Diaphragm would be acting 2) Remaining tendons are stressed

Load Structure CS3

10000 Load

1) Diaphragms and cross beams are activated 1) Wet concrete load of Span would be deactivated. 2) SIDL would be activated 3) Stage has long duration to check time dependent effects

Note: The results of all prior construction stages are accumulated and applied to the current stage. Once activated elements, boundary conditions and loads remain active until they are deactivated. When an element is removed, the internal forces are internally imposed to the contiguous remaining elements in the opposite directions.

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Step

02

Load >

Defining Loads – Construction Stage Analysis

Construction Stage Analysis

CS2 CS1

CS3 Construction Stage Sequence 2-Span PSC Composite I Girder Bridge

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Step

02

Load >

Defining Loads – Construction Stage

Define Construction Stage Analysis Data– CS1

1 3

2 1

Go to “Load”

2

Click “Construction Stage”

3

Click “Define C.S”

4

Click “Add”

5

Defining Structure Group for CS1 Enter Name “CS1” Enter Duration “1” day(s)

4

5

6 7

Click “Element” tab Select “CS1 – Superstructure” under Group List

8

Enter Age “28”

9

Click “Add”

Note: Age reflects the effects of creep and shrinkage on the elements. The Age

6

7 8

9

represents the time elapsed from the time of concrete casting prior to the start of the current construction stage being defined. That is, the Age is the maturity of the element groups at the start of the current stage being defined. The Age typically represents the time span from the time of concrete casting to the time of removal of formwork for horizontal members such as slabs.

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Step

02

Load >

Defining Loads - Construction Stage

Define Construction Stage Analysis Data – CS1 1

Defining Boundary Group for CS1 Click “Boundary” tab 1

2

Select “supports, bearings and Rigid links” under Group List

1 2

3

3 3

Support/Spring Position > “Deformed”

4

Click “Add”

2

4 10

5

Defining Load Group for CS1 Click “Load” tab

6

Select “SW” under Group List

7

Active Day > “First”

8

Click “Add”

9

Select “PS-1” under Group List

10

In Additional Steps add 0.3 days

10

5

6

7

9 11

Click on “Add” Select Active day in the group list as 0.3 days and click on Add. 8

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Step

02

Load >

Defining Loads - Construction Stage

Define Construction Stage Analysis Data– CS2 1

Defining Structure Group for CS2 Enter Name “CS2” Enter Duration “21” day(s)

6 6

Click “Load” tab

3

Select “Wet-Concrete”

4

Active Day > “First”

5

Click “Add”

6

Enter Day : “0.6 ” & Step “1”

4

Click “Add”

7

2

3

8

Active Day > “0.6”

v

1

2

7

v

8

v

v

v v

Select “PS-2” under Group List

9

Click “Add”

10

Click on “OK” 5

v

9

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Step

02

Load >

Defining Loads - Construction Stage

Define Construction Stage Analysis Data– CS3 1

1

Defining Structure Group for CS3 Enter Name “CS3” Enter Duration “10000” day(s)

2

Click “Element” tab

3

Select “CS-2 Diaphragm and CS-3 Dummy” element group under

4

Enter Age “14”

5

Click “Add”

6

Click on “Load Tab”

7

Select “SIDL” and “Crash Barrier”

8

Active Day > “First”

9

Click on “ADD”

10

Select “Wet concrete” under group

2

v

3

v

4

5

v

v

6

v

list. 11

12 13

Inactive Day > “First”

11 7

v

10

v

Click on “Add”

v

8

Click on “Ok” 9

v

12

v

13

v

v

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Step

02

Load >

Defining Loads – Construction Stage for Composite Section

Define Construction Stage for Composite Section

1 3

2 1

Go to “Load” of Main Menu

2

Click “Construction Stage”

3

Click “Composite Section for C.S.”

4

Click “Add” Select Active Stage “CS1” Select Section “Girder” Select Composite Type “Normal” Under Construction Sequence For Part I Select Material Type “Element” Set Composite Stage “Active Stage” Enter Age “14” #h will be automatically entered For Part II Select Material Type “Material” Select Material “M30” Select Composite Stage “CS3” Enter Age “10” days #h will be automatically entered Click “Apply”

5

Click Update all H to automatically update h

6

Click “Close”

3

5

6 4

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Step

02

Load >

Defining Loads - Moving Loads

Moving Loads – Define Code & Lane

3 1

1

Go to “Load” > Click “Moving Load”

2

“Moving Load Code” select “India”

3

Click “Traffic Line Lanes”

4

Click “Add”

5

Lane Name > “Lane 1 70R” Eccentricity “1.095”m Wheel Spacing “1.93”m Span Length > 22.8 m Vehicular load distribution > “Cross Beam- Moving Load “ Moving Direction > Both

Lane Name > “Lane 1 Class A”

Lane Name > “Lane 2 Class A” Eccentricity “0.3”m Wheel Spacing “1.8”m Vehicular load distribution > “Cross Beam- Moving Load “ Moving Direction > Both Select Selection by “2 Points” Click on node no. 6 Click on Node no. 25 & Click “OK”

Select Selection by “2 Points” Click on node no. 11 Click on Node no. 30

Click “OK” Similarly “Add” Lane Name > “Lane 2 70R” Eccentricity “ 0”m Wheel Spacing “1.93”m Vehicular load distribution > “Cross Beam- Moving Load “ Moving Direction > Both Select Selection by “2 Points” Click on node no. 6 Click on Node no. 25 & Click “OK”

5

Eccentricity “ -0.35”m Wheel Spacing “1.8”m Vehicular load distribution > “Cross Beam- Moving Load “ Moving Direction > Both Select Selection by “2 Points” Click on node no. 11 Click on Node no. 30 & Click “OK”

6

7

5

2

29

6

42

7

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Step

02

Load >

Defining Loads - Moving Loads

Moving Loads – Define Vehicle 1

Go to “Load” of Main Menu

2

Click “Moving Load”

3

Click “Vehicles”

4

Click “Add Standard”

5

Select Standard Name “IRC:6-2000

3 1

2

4 5

Standard Load” 6

Select Vehicular Load Type “Class A”

7

Click “Apply”

6 9

Follow the steps 4 to 7 Vehicular Load

Type “Class 70R” 8

Click “OK”

9

Click “Close”

8

7

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Step

02

Load >

Defining Loads - Moving Loads

Moving Loads – Define Moving Load Combination 1

Go to “Load” tab

2

Click “Moving Load”

3

Click “Moving Load Cases”

4

Click “Add ”

5

Enter Load Case Name “70R”

6

Uncheck “Auto Live Load

3 1

2

4

8

5

6

Combination” 7

Under Sub-Load Cases Click “Add”

8

In Sub-Load Case

9

10

In Sub-Load Case

Enter Scale Factor “1”

Enter Scale Factor “1”

Enter Minimum Loaded Lanes as 1

Enter Minimum Loaded Lanes as 1

Enter Maximum Loaded Lanes as 1

Enter Maximum Loaded Lanes as 2

Select Vehicle as “Class 70R”

Select Vehicle as “Class A”

Under List of Lanes Select “lane 1 70R”

Under List of Lanes Select “lane 1

and “lane 2 70R”

Class A” and “lane 2 Class A”

Click on “->”

Click on “->”

Click “OK”

9

10

7

Click “OK”

Note: To take into account of the wheel spacing and minimum clearance for different vehicles, the Auto Live Load Combination option can be unchecked and manually different moving load combinations can be created for the vehicles as per IRC 6:2000.

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Step

03 Single Span PSC Box Girder Bridge Step

03

Analysis Control •

Main Control Data



Moving Load Analysis Control



Construction Stage Analysis Control



Perform Analysis

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Step

03

Analysis > Main

Control Data & Moving Load Analysis

Main Control Data & Moving Load Analysis Control 1

Go to “Analysis” tab

2

Go to “Main Control Data”

3

Click on “Consider Reinforcement for

1 2

5

section stiffness Calculation” 4

Click on “OK”

5

Click “Moving Load”

6

Enter Number/Line Elements: 3

6

7

Under Analysis Results > Frame 7

Select “Normal + Concurrent Force” Check “Combined Stress Calculation”

8

3

4

Select Bridge Type for Impact

Calculation “RC” 9

Click “OK” 8

9

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Step

03

Analysis >

Construction Stage Analysis Control & Perform Analysis

Analysis ControlConstruction Stage 1

Go to “Analysis” tab

2

Click “Construction Stage” Select Final Stage “Last Stage” Select Analysis Option “Include Time Dependent Effect”

3

Click on “Time Dependent Effect Control” Select Type “Creep & Shrinkage” Select “Tendon Tension Loss Effect (Creep & Shrinkage)” Select “Variation of Comp. Strength “ Select “Tendon Tension Loss (Elastic Shortening)”

4

5

Check “Calculate Output of Each part of Composite Section” Check “Self-Constraint Forces & Stresses” Click “OK”

1 2

5

3

3

4

4

Click “Perform Analysis” to Run Analysis Note: For detailed explanation on Construction Stage Analysis Control refer the help file (or Press F1 ) Path: Help > Contents > Start > Analysis > Construction Stage Analysis Control

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Step

01

Modeling >

Defining Section Reinforcement

Assigning reinforcement to the sections

1 2

Longitudinal Reinforcement 1 2

Go to “Properties” Click “Section manager > Reinforcements…”

3

Select “Girder”

4 5

Click on “Multi Add” Enter Reinforcement data in the tables as shown and click “OK”

6

Click “Apply”

7 8

7

8

3

Shear & Torsional Reinforcement Go to Shear Reinforcement tab 9

Check on Diagonal Reinforcement Pitch > 0.15m ; Angle > 90 [deg] Aw > Diameter: P10 ; Number: 2 Click on OK

9

4

Click on Torsional Reinforcement Pitch > 0.15 m Awt > Diameter: P8 ; Number: 2 Alt > Diameter: P8; Number: 2

10

4 4

10

Click on “Apply” and “Close”

Note: In case the diameter of rebars is not in terms of P(dia), then change the rebar material code from Tools > Preferences > Design > Concrete > Rebar > Material Code > Select IS(RC) & Click OK

6 5

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Step

04 2 Span PSC Composite I Girder Bridge Step

04

Result •

Load Combination



Reaction



Displacement



Beam Diagrams



Vehicle Position Using Moving Vehicle Tracer



Stresses



Tendon Loss



Elastic Link Force ( Bearing Forces)

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Step

04

Results> Load

Combinations

Load Combinations

1 2

1

Go to “Results” tab

2

Click “Load Combination”

3

Click “Concrete Design” tab

4

Create load combination and enter

3

factors for load cases as shown in the table below . Click “Close”

Load Combination

Load Cases and Factors

5

Dead Load(CS) Wearing Course(CS) Crash Barrier(CS) Tendon Primary(CS) Tendon Secondary(CS) Creep Primary(CS) Creep Secondary(CS) Shrinkage Primary(CS) Shrinkage Secondary(CS) 70R(MV) Class A(MV) MVL(CBC)

MVL − − − − − − − − 1 1 −

ULS 1.35 1.75 1.35 1 1 − 1 − 1 1.5

2-Span PSC Composite I Girder Bridge

SLS 1 1 1 0.9 0.9 − 1 − 1 − − 1

53

Step

04

Result>

Reaction

ResultReaction

1

6

2 1

Go to “Results” tab

2

Click “Reactions”

3

Click “Reaction Forces/Moments”

4

Select “Load Cases/Combinations”

3

To view the results in Model View

7

Window, select “Components”

4

Select “Value” 5

Click “Apply”

6

To View in Tabular format, Click

CBCmax: MVL CBCmin: MVL CBCall: MVL CBC: ULS CBC: SLS

“Results Tables”> “Reactions” 7

Select “Load Cases/Combination”

8

Click “OK”

9

Check the values in new window

9

5

8

“Result-[Reaction]”

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Step

04

Result>

Displacement

ResultDisplacement 1

Go to “Results” tab

2

Click “Deformations”

3

Click “Displacement Contour”

4

Select “Load Cases/Combinations”

5

Select “Components”

6

Click Type of Display “Contour”

1

2 4 3

5 8

7

Click “Apply”

8

See the Contour diagram in the “Model View” window 6

Note: By Invoking “…” the tables of any component of result and load cases can be checked.

7

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Step

04

Result>

Beam Diagrams

ResultBeam Diagrams 1

Go to “Results” tab

2

Click “Forces”

3

Click “Beams Diagrams”

10 9

1

CBCmax: MVL CBCmin: MVL CBCall: MVL CBC: ULS CBC: SLS

2 3

4

11

Click “Results Tables>Beams> Forces 5

& Stresses” 5

Select Moving Load case/Combination

6

Click “OK”

7

In the Result-[Beam Force] table

8

Right Click and select from the

CBCmax: MVL CBCmin: MVL CBCall: MVL CBC: ULS CBC: SLS

4

8

6

Context Menu “View by Max Value Item” 9

Select Items to Display “Moment-y”

10

Select Load Cases to Display

11

Click “OK”

12

See in Concurrent forces in the table

7

12

“Result by Max Value-[Beam Force]”

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Step

04

Result>

Vehicle Position using Moving Vehicle Tracer

ResultMoving Vehicle Tracer 1

Go to “Results” tab

2

Click “Moving Load Tracer”

3

Click “Beams Forces/Moments…”

1

2

Select Moving load case “ MVMax

5

Truck” 3

Select Key Element “18” Select Part “I ” Select Component “My” 4

Click “Apply”

5

See in “Model View” window the Vehicle position

4

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Step

04

Result>

Vehicle Position using Moving Vehicle Tracer 2

ResultMoving Vehicle Tracer

3

To Convert this Vehicle Load Position into a Static Load Case: 1

4

Click “Write Min/Max Load to File” Click “OK” Copy all the data from the “Midas/Text Editor ”

2

Go to “Tools” tab

3

Click “MCT Command Shell..”

4

Paste the data in the “MCT Command Shell” Window

5

Click “Run”

5 1

A new Static Load “MVmax&70RMy279” will be created

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Step

04

Result>

Stresses

ResultStresses 1

Go to “Results” of Main Menu

2

Click “Stresses”

3

Click “Beam Stresses”

4

Select Load Cases/Combinations “

5

Select “Components”

6

Click Type of Display “Contour”

7

Click “Apply”

8

See the Contour diagram in the “Model View” window

1 2 4 3 5

6 8

7

Note: To view the results in tables, click Results Tables and browse to required quantity Note: The significance of various stress components are clearly explained in detail in the help file . Path: Help > Contents > Start > Result > Stresses > Beam Stresses

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Step

04

Result>

Tendon Loss 1

ResultTendon Loss 1

Go to “Results” tab

2

Click “Result Tables”

3

Click “Tendon”

4

Click “Tendon Loss”

5

See the various tendon loss in tabular

2

By grouping tendons, the average prestr ess force at the CG of the cables along the length of the bridge can be seen, in Tendon Arrangement (Path: Results > Result Tables > Tendon > Tendon Arrangement.)

format in the window “Result[tendon Loss (Tendon Group)]”

4

3 5

Note: Similarly the tables of tendon Coordinates, Elongation , Weight can be checked.

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Step

04

Result>

Elastic Link Forces (Bearing Forces)

ResultElastic Link Forces 1

Go to “Results” tab

2

Click “Result Tables”

3

Click “Elastic Link…”

4

Check “Truck (Mv:all)”

5

Click “OK”

6

See the various forces in the bearings

1 2

6

3

in “Result-[Elastic Link]”

4

Note: Similarly, forces for all the cases could be viewed, which could be used for design of bearings.

5

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Step

05 Single Span PSC Box Girder Bridge Step

05

PSC Design •

Design Parameters



Modify Material Properties



Design Position & Output



Concrete Allowable Stress Load Case



Perform Design & Design Calculation Excel Report



Design Result Tables



PSC Design Forces



PSC Design Result Diagram

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Step

05

PSC Design >

Design Parameters

PSC DesignInput Design Parameters 1

Go to “PSC” > Select “IRC:112-2011”

2

Click “Parameters”

3

Design Code > “IRC:112-2011”

1

5

2

3

Output Parameters > “Select All” 4

Click “OK”

5

Click “PSC Design Material ”

6

Click “ M40” from the Material List

7

For Girder,

6

7

Concrete Material Selection : Code > “IS(RC)” ; Grade > M40

For Rebar Selection Code > IS(RC) Main Rebar & Sub - Rebar > Fe500

For Slab,

Concrete Material Selection Code > “IS(RC)” ; Grade > M30

4

For Rebar Selection Code > IS(RC) Main Rebar & Sub - Rebar > Fe500 8 8

Click “Modify” 2-Span PSC Composite I Girder Bridge

63

Step

05

PSC Design >

Design Position & Output

PSC DesignDesign Position & Output 1

Go to “PSC” tab

2

Click “Design/ Output Position”

1 2

Select > Design Position

3

Select All Girder elements Moment > I & J Shear > I & J

3 4

Click “Apply”

Similarly to define Output position 4

Select the indicated elements 3,7,11

5

Select > Output Position

3

M(+) , M (-) > I &J Shear Strength > I & J Torsion Strength > I & J

Click “Apply”

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Step

05

PSC Design >

Design Position , Output & Perform Design

PSC Design- Output Position & Design 1

Go to “PSC” tab

2

Click “Serviceability Load Combination

1

6 2 7

Type” 3

Select “SLS” from “Serviceability” tab

4

Add it to “Characteristic” tab

5

Click “OK”

3

To Perform Design 6

Click “Perform Design”

7

After the Design is performed,

4

Click “ Excel Report” to export the design results in Excel Format.

5

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Step

05

PSC Design >

Design Result Tables & Design Forces

PSC DesignDesign Result Tables

1 2

4

Results Table: 1

Go to “PSC” tab

2

Click “Result Tables ”

3

Select the required Result Tables

3

Design Forces: 4

Click “Design Forces”

5

Select the Elements & Part Number

6

Click “OK”

3

5

6

Note: Following sign convention is used for Stress

- Compression (+) - Tension (-)

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Step

05

PSC Design >

PSC Result Diagram

PSC DesignPSC Result Diagram

1

2 1

Go to “PSC” tab

2

Click “PSC Result Diagram” 3

3

Select the Load Cases

4

Select “ Strength/ Str” for load

6 4

Case to be considered for Strength

7

check 5

Click “Close” 5

6

Option > Force / Stress and give suitable scale factor

7

Select Components

8

Click “ Apply”

Note: This feature enables users to check result diagrams in contours. We can see the member force diagrams along with the nominal strength diagram.

8

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Step

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