Download the following files
Steel I-Girder Composite Bridge.rar
0. Contents
1. Overview |
1-1 Cross Section 1-2 Materials Used 1-3 Load 1-4 Composition of Construction Stage |
---|---|
2. Setting up the Work Environment and Defining Cross-Sections and Materials |
2-1 Setting up the Work Environment 2-2 Material Definition 2-3 Section Definition 2-4 Define Time-Dependent Material Properties |
3. Bridge Modeling |
3-1 Group Definition 3-2 Bridge Modeling |
4. Enter Boundary Conditions |
4-1 Enter Support Condition 4-2 Enter Effective Width |
5. Loading Data |
5-1 Input Dead Load Before Composite Action 5-2 Input Dead Load After Composite Action |
6. Construction Stage Definition |
6-1 Element Group Definition 6-2 Composition of Construction Stage 6-3 Definition of Composite Section for Each Construction Stage |
7. Perform Structural Analysis | |
8. Review of Analysis Results |
8-1 Check Member Forces 8-2 Check Stresses |
1. Overview
For members composed of two or more materials, structural analysis must be performed considering the composite effect. Moreover, composite sections containing concrete when used, creep and drying shrinkage must be considered.
In this example, a bridge consisting of a composite cross-section of a concrete deck and a steel I-girder is constructed. Model using the Composite Section Wizard and construction stage method and check the results.
The type and span configuration of the bridge used in this example are as follows.
Bridge Format | 3-span continuous I-girder composite bridge (PSC deck) |
---|---|
Bridge extension | L = 45.0 + 55.0 + 45.0 = 145.0 m |
Bridge width | B = 12.14 m |
Bevel | 90˚ (perpendicular) |
Interpretation model
MIDAS CIVIL NX provides the Composite Section for Construction Stage command for performing the construction stage analysis of a composite section. Through this example, we will learn how to perform structural analysis including the concepts of construction stages and composite sections.
The procedure for performing construction stage analysis of composite cross-section bridges is as follows.
1. Material and section definition |
2. Definition of Structure Group, Boundary Group, Load Group |
3. Construction stage definition |
4. Activate Boundary Group and Load Group required for each construction stage |
5. Activate the floor sections corresponding to each construction stage as per the construction sequence for floor slab |
6. Check analysis results for each construction stage |
1-1 Cross Section
[Unit: mm]
Section view
In this example, the same cross-section is used for all girders and cross-beams to simplify the model.
1-2 Materials Used
Absence | Content | Remarks |
---|---|---|
Girder | A53 | Steel |
Cross beam | A36 | Steel |
Slab | C6000 | Concrete (Use a function of compressive strength of concrete) |
1-3 Load
Dead load before composite action |
Self-weight of the steel girder | Automatically converted to the Self Weight within the program |
---|---|---|
Self-weight of the concrete slab | Entered into Beam Loads | |
Dead load after composite action | Entered into Beam Loads |
1-4 Composition of Construction Stage
- Define load cases and load groups
Construction sequence for the deck and each part of the deck section
Now that the slab has an inflection point at 0.2L from the interior support when casting new concrete upon old concrete, make it happen at the inflection point where no stress occurs.
Load Case | Load Group | Load Type | Remarks |
---|---|---|---|
DL (BC)1 | DL (BC)1 | Self Weight | Girder dead weight |
DL (BC)2 | DL (BC)2 | Beam Loads | Self-weight of the slab corresponding to 0.8 x L1 range |
DL (BC)3 | DL (BC)3 | Beam Loads | Self-weight of the slab corresponding to 0.2 x L1 + 0.8 x L2 range |
DL (BC)4 | DL (BC)4 | Beam Loads | Self-weight of the slab corresponding to 0.2 x L2 + L3 range |
DL (AC) | DL (AC) | Beam Loads | Additional dead loads (pavement, handrail, barrier) |
- Define boundary condition group
Boundary condition group |
Boundary condition type | Remarks |
---|---|---|
Bgroup | Supports | Support condition |
E_Width1 |
Effective Width Scale Factor |
The ratio of the moment of inertia w. r. t. the effective width to the moment of inertia w. r. t. the total width, CS2 section (at the middle of the 1st span) |
E_Width2 |
Effective Width Scale Factor |
The ratio of the moment of inertia w. r. t. the effective width to the moment of inertia w. r. t. the total width, CS3 section (at the 1st interior support, at the middle of the 2nd span) |
E_Width3 |
Effective Width Scale Factor |
The ratio of the moment of inertia w. r. t. the effective width to the moment of inertia w. r. t. the total width, CS4 section (at the 2nd interior support, at the middle of the 3rd span) |
- Define construction stages
Construction stage | Element Group | Boundary condition group | Load group | Duration | Remarks | |
---|---|---|---|---|---|---|
Group |
Step | |||||
CS1 | SGroup | BGroup |
DL (BC)1 DL (BC)2 |
First step First step |
5 | Non-composite section |
CS2 | - | E_Width1 | DL (BC)3 |
Day 25 (User step) |
30 |
Composite action in CS2 section |
CS3 | - | E_Width2 | DL (BC)4 |
Day 25 (User step) |
30 |
Composite action in CS3 section |
CS4 | - | E_Width3 | DL (AC) | First step | 10,000 |
Composite action in CS4 section |
- SGroup represents a Structure Group including all members (girders, cross beams).
- One element group is enough since the geometry of the structure does not vary with construction stages.
- Using the Composite Section for Construction Stage command, define a composite/non-composite section in accordance with the construction sequence for the deck.
- Assume that it takes 25 days to manufacture formwork and concrete slab obtains the initial strength at 5 days. Accordingly, it would take 30 days to finish the construction.
- The self-weight of the slab to be entered into Element Beam Loads will be activated at 25 days when formwork will have been completed.
CS1 | Steel girders and crossbeams of the entire bridge |
---|---|
Use the Self Weight command to enter the self-weight of the girder and use the Element Beam Loads command to enter the self-weight of the slab of CS2 section (See figure below). |
|
CS2 | CS2 section acts compositely |
Enter the effective width of the CS2 section | |
Use the Element Beam Loads command to enter the self-weight of the slab of the CS3 section (See figure below). |
|
CS3 | CS3 section acts compositely |
Enter the effective width of the CS3 section | |
Use the Element Beam Loads command to enter the self-weight of the slab of the CS4 section (See figure below). |
|
CS4 | CS4 section acts compositely |
Enter the effective width of the CS4 section | |
Use the Element Beam Loads command to enter additional dead loads |
Slab weight and additional dead loads loaded at each construction stage
2. Setting up the Work Environment and Defining Cross-Sections and Materials
New file to model plate girder bridges ( Open New Project ) and save it with the name ‘I-Girder Composite’ (
Save).
Main menu > File > New Project
Main menu > File > Save
1. Enter ‘I-Girder Composite’ in the file name and Click the button
Save file
2-1 Setting up the Work Environment
Set the unit system for modeling plate girder bridges.
Main menu >[Project] Tab > [Setting] Group > Unit System
1. In the Length checkbox, select ‘m’, in the Force (Mass) checkbox, Select ‘kN (ton)’
You can easily change the unit system using the Status Bar at the bottom left of the screen.
2. Click the button
Unit system settings
2-2 Material Definition
Define the materials of girders, crossbeams, and floor plates using the built-in DB in MIDAS CIVIL NX.
Main menu > [Properties] Tab > [Material Properties] Group > Material Properties
1. Click the button
2. Check ‘1’ in the Material ID field of General.
3. Select ‘Steel’ in the Type of Design selection box.
4. Select ‘ASTM(S)’ in the Standard selection box of Steel.
5. Select ‘A53’ in the DB selection box.
6. Click the button
7. Check ‘2’ in the Material ID field of General.
8. Enter ‘A36’ in the DB selection box.
9. Click the button
10. Check ‘3’ in the Material ID field of General.
11. Select ‘Concrete’ in the Type of Design selection box.
12. Select ‘ASTM (RC)’ in the Standard selection box of Steel.
13. Select ‘C6000’ in the DB selection box.
15. Click the button
Material definition
2-3 Section Definition
With the construction sequence considered, girders will have different section names from construction stage to stage. For this particular tutorial, assume that all girder sections are the same; in such case, girders will have identical section properties but different section names (i.e., Sect 1, Sect 2, Sect 3 and Sect 4). To create the cross beams, use User type section.
[Unit: mm]
Section layout
- Section Table
Separation | Content | Remarks |
---|---|---|
Girder | H 3200 x 800 x 900 x 20 x 32/34 | Composite section |
Cross Beam | H 800 x 400 x 20 x 20/20 | User type section |
Main menu > [Properties] Tab > [Section Properties] Group > Section Properties
1. Click the button
2. Check ‘1’ in the Section ID input field.
3. Enter ‘Sect1’ in the Name input field.
4. Select ‘Steel-I (Type1)’ in the Section Type selection box.
If you select User in the Section Type selection box, among the pre-defined sections before and after composite. Select the cross section before composite in the check box and the cross section after composite in the after Composite check box to composite them into one cross section number. The front and back sections can be entered together.
5. Input Slab’s Bc: ‘6.07’, tc: ‘0.25’, Hh: ‘0.028’
6. Input Girder’s Hw: ‘3.2’, B1: ‘0.8’, tf1: ‘0.032’
tw : ‘0.02’, B2 : ‘0.9’, tf2 : ‘0.034’
7.Click the button
8. Check ‘ASTM (RC)’ in the DB selection box of Concrete Material.
9. Select ‘C6000’ in the Name selection box.
10. Select ‘ASTM (S)’ in the DB selection box of Steel Material.
11. Select ‘A53’ in the Name selection box.
12. Click the button
13. Enter ‘0’ in the Ds / Dc field.
Since the pre-composite load of concrete is entered as a beam load, enter ‘0’ in the Ds / Dc (weight ratio of steel and concrete) input box. When entering self weight, the self weight of concrete is excluded.
In construction stage analysis using a composite cross-section, the stiffness and weight ratios of concrete and steel are used as information entered when defining the construction stage composite cross-section. Since they are auto-calculated, the stiffness ratio and weight ratio entered here are not used in the analysis.
14. Select offset as 'Center-Center'.
15. Click the button
16. Create 'Sect2' and 'Sect3' in the same way as above.
Section definition
Main menu > [Properties] Tab > [Section Properties] Group > Section Properties
1. Select the DB / User tab
2. Check ‘4’ in the Section ID input field.
3. Enter ‘CBeam’ in the Name input field.
4. Select ‘I-Section’ in the Section Type selection box.
5. Select 'User'
6. Input H: ‘0.84’, B1: ‘0.4’, tw: ‘0.02’, tf1: ‘0.02’
7. Click the button
8. Click the button
Section Definition
2-4 Define Time-Dependent Material Properties
Time dependent material properties will be defined so as to consider variations in concrete strength led by variations in the modulus of elasticity of concrete, creep and drying shrinkage developing with time. Time dependent material properties are determined from the CEB-FIP Code. A slab thickness of 25 cm will be used for computing Notational size of member.
28-day strength | 20000 kN/m2 |
---|---|
Relative humidity | 70 % |
Notational size | 2xAc/u = (2x12.14x0.25) / (12.14+0.25) 2 = 0.245 |
Types of concrete | Normal-weight concrete |
When to remove formwork | 3 days after concrete placing (the time of the beginning of drying shrinkage) |
Main menu > [Properties] tab > [Material Properties] group > Time Dependent > Creep / Shrinkage
1. Click the button
2. Enter ‘Mat-1’ in the Name input field.
3. Select ‘CEB-FIP (1990)’in the Code selection box.
4. Enter ‘20000’ the Characteristic Compressive Strength of Concrete at the age of 28 days in the field.
5. Enter ’70’ in the Relative Humidity of ambient environment (40~99) field.
6. Enter notational size of member ‘0.245’
Input the Notational size of member calculated for a slab section.
7. In Type of cement, select ‘Normal or rapid hardening cement (N, R)’
8. Enter ‘3’ in the Age of concrete at the beginning of shrinkage field.
9. Click the button
10. Click the button
Time-dependent member material definition
Placed concrete is hardened and gains strength with age. To consider this, a function of compressive strength of concrete is given here by the CEB-FIP Code. The data entered in the Time Dependent Material (Creep / Shrinkage) dialog box is adopted in the Time Dependent Material (Comp. Strength) dialog box.
Main menu > [Properties] tab > [Material Properties] group > Time Dependent > Comp. Strength
1. Enter ‘Mat-1’ in the Name input field.
2. Select ‘Code’ in Type
For detailed information about the code among the strength expressions, see “Civil’s Function Properties” in the On-line Manual. > Please refer to “Time Dependent Material (Comp. Strength)”.
3. Select ‘CEB-FIP (1990)’ in the Code selection box of Development of Strength.
4. In the Mean Compressive Strength of Concrete at the age of 28 Days (fck+deltaf) field, Enter ‘28000’
5. Select ‘N,R: 0.25’ in the Cement Type (s) selection box.
6. Click the button
7. Click the button &
button
Time-dependent member material definition
In MIDAS CIVIL NX, time dependent material is defined separately from the conventional material, and time dependent material properties can be assigned to a conventional material selected.
In this tutorial, time dependent material properties will be assigned to the concrete slab (Grade C6000).
Main menu > [Properties] tab > [Material Properties] group > Material Link
1. In the Creep/Shrinkage checkbox of Time Dependent Material Type Select ‘Mat-1’
2. In the Comp. Strength checkbox of Time Dependent Material Type Select, ‘Mat-1’ select
3. Select ‘3:Grade C6000’ in the Materials selection box of Select Material for Assign.
4. Click the button
5. Click the button
Connect regular materials and time-dependent materials
3. Bridge Modeling
After defining the groups required for composing construction stages, construct a bridge model for each construction stage. This tutorial explains a technique for assigning construction stages when using Composite Section.
3-1 Group Definition
Refer to the following table to define each group necessary to configure each construction stage.
Construction stage | Element Group |
Boundary condition group |
Load group (Activation) | Duration | Remarks | |
---|---|---|---|---|---|---|
Group | Step | |||||
CS1 | SGroup | BGroup |
DL(BC)1 DL(BC)2 |
First step First step |
5 | Non-composite section |
CS2 | - | E_Width1 | DL(BC)3 |
Day 25 (User step) |
30 |
Composite action in CS2 section |
CS3 | - | E_Width2 | DL(BC)4 |
Day 25 (User step) |
30 |
Composite action in CS3 section |
CS4 | - | E_Width3 | DL(AC) | First step | 10,000 |
Composite action in CS4 section |
Group in Tree Menu
1. Right-click on Structure Group and click ‘New’, Enter ‘SGroup’
2. Right-click in the Boundary Group and click ‘New’, Enter ‘BGroup’
3. Enter ‘E_Width’ 1~3 in the same way.
4. Right-click on Load Group and click ‘New’, Enter ‘DL (BC) 1’
5. In the same way, enter ‘DL (BC)’ 2~4 , ‘DL (AC)’
Group Definition
3-2 Bridge Modeling
Refer to figure below to generate girders.
Construction sequence for deck and each part of the deck section
In this tutorial, cross beams are to be placed at a spacing of 5m and slab concrete is to be poured in accordance with the sequence as depicted in above figure. To consider the effective width of girders, girder elements will be generated to have the following lengths.
CS2 Section | 7@5 +1 = 36m | Use section: Sect 1 |
---|---|---|
CS3 Section | 4 + 3@5 + 1 + 3 + 6@5 = 53m | Use section: Sect 2 |
CS4 Section | 1 + 3@5 + 4 + 1 + 7@5 = 56m | Use section: Sect 3 |
Main menu > [Node / Element] Tab > [General] Group > Create > Create Element
1. Click Top View
2. Click Auto Fitting
3. Enter ‘0, 0, 0’ in the Coordinates (x,y,z) field.
4. Enter ‘1’ in the Number of Times field.
5. Enter ‘0, 6.15, 0’ in the Distances (dx, dy, dz) field.
6. Click the button
Main menu > [Node / Element] Tab > [Element Detail] Group > Edit Elements > Extrude
1. Click Select All
2. In the Extrude Type selection list, select ‘Node -> Line Element’
3. Select ‘Beam’ in the Element Type selection box.
4. Select ‘1 : A53’ in the Material selection box.
5. Select ‘1 : Sect 1’ in the Section selection box.
6. Select ‘Translate’ in the Generation Type selection box.
7. Select ‘Unequal Distance’ in the Translation selection box.
8. Select ‘x’ in the Axis checkbox
9. In the Distances field enter ‘7@5, 1, 4, 3@5, 1, 4, 5@5, 4, 1, 3@5, 4, 1, 7@5’
10. Click the button
Girder modeling
To assign the girder elements of CS3 to Sect 2, and the girder elements of CS4 to Sect 3, use the Drag & Drop feature.
In Works Tree
To open the Work Tree window, click the Close button in the Extrude Element window of the previous step. You can click to select the Work Tree tab and click the button to see it, and to open it in the same way as the window you were working on. In this case, you can check by right-clicking on the ToolBar menu and opening the Tree Menu2 window.
1. Click Select by Window to select all girders in CS3 section (element : 17 to 40)
When selecting an element with a complex structure, enter the element number to select. You can select them by entering them in Select Elements by Identifying.
2. Works > Properties > Section > Mouse over ’2 : Sect2’ Designate with the left button and drag and drop to Model View (Drag & Drop function)
3. Click Select by Window to select all girders in element CS4 section (element : 41 to 66)
4. Works > Properties > Section > Mouse over ’3 : Sect3’ Designate with the left button and drag and drop to Model View (Drag & Drop function)
Different section assigned to different parts of girder
When you want to check the distance between each node, it is convenient to use the Query Nodes function. (Shortcut key F4)
Enter the crossbeam.
Main menu > [Node / Element] Tab > [General] Group > Translate > Translate Element
1. Check ‘General beam / Tapered beam’ in the Element Type selection box.
2. Select ‘2 : A36’ in the Material selection box.
3. Select ‘4 : CBeam’ in the Section selection box.
4. Intersect’s ‘Node’ check on
5. Switch the Nodal Connectivity input box to the mouse editor function (click with the mouse to change the background to green) and then Specify 1 and 2 in each order
Main menu > [Node / Element] tab > [Elements] Group > Translate Elements
1. Click Select Recent Entities
2. Check ‘Copy’ in the Mode selection box.
3. Check ‘Equal Distance’ in the Translation selection box.
4. Enter ‘5, 0, 0’ in the dx, dy, dz input fields.
5. Enter ‘29’ in the Number of Times field.
6. Check on Intersect's 'Node' and 'Elem'
7. Click the button
Input cross beam
You can easily view the node number by using the Node Number icon.
4. Enter Boundary Conditions
4-1 Enter Support Condition
Since all boundary conditions of the structure are simultaneously activated at CS1, designate BGroup as a boundary group in which all boundary conditions of the bridge will be included.
Main menu > [Boundary] Tab> [Supports] Group > Define Supports
1. Select ‘BGroup’ in the Boundary Group Name input field.
2. Check ‘Add’ in the Options selection box.
3. Click Select Single to select node 21
4. ‘D-ALL’ check on
5. Click the button
6. Click Select Single to select nodes 1, 47, 67
7. ‘Dy, Dz’ check on
8. Click the button
9. Click Select Single to select nodes 2, 48, 68
10. ‘Dz’ check on
11. Click the button
12. Click Select Single to select node 22
13. ‘Dx, Dz’ check on
Enter boundary conditions
4-2 Enter Effective Width
Enter the Scale Factors to be applied to the moment of inertia of girder sections to account for effective width. In MIDAS CIVIL NX, the specified Effective Width Scale Factor will be used for calculating member stresses.
If you want to calculate stresses in a section to account for effective flange width, use the Effective Width Scale Factor command with the ratio of Iyy of the effective section to Iyy of the gross section, entered in the Scale Factor for Iy field.
Classification | Effective width | Second moment of inertia Iyy |
Scale Factor for Iy, Iyy_2/Iyy_1 |
|
---|---|---|---|---|
Iyy_1 (Full width) |
Iyy_2 (Effective width) |
|||
At the middle of the side span | 5.653 | 0.4696908 | 0.4628585 | 0.985 |
At support | 5.117 | 0.4696905 | 0.4530761 | 0.965 |
At the middle of the center span | 5.839 | 0.4696905 | 0.4659784 | 0.992 |
Main menu > [View] Tab > [Display] Group > Display > Display
1. In the Boundary tab, Check On in the Support item.
Main menu > [Properties] Tab > [Section Properties] Group > Effective Width
1. Select ‘E_Width1’ in the Boundary Group Name input field.
2. Enter 1to16 in the Select Elements by Identifying field.
3. Enter ‘0.985’ in the Iy Scale Factor for Sbz input field.
4. Click the button
5. Select ‘E_Width2’ in the Boundary Group Name input field.
6. Entre 17to26 in the Select Elements by Identifying field. input
7. Enter ‘0.965’ in the Iy Scale Factor for Sbz field.
8. Click the button
9. Select ‘E_Width2’ in the Boundary Group Name input field.
10. Enter 27to40 in the Select Elements by Identifying field
11. Enter ‘0.992’ in the Iy Scale Factor for Sbz input field.
12. Click the button
13. Select ‘E_Width3’ in the Boundary Group Name input field.
14. Enter 41to50 in the Select Elements by Identifying field
15. Enter ‘0.965’ in the Iy Scale Factor for Sbz field.
16. Click the button
17. Select ‘E_Width3’ in the Boundary Group Name input field.
18. Enter 51to66 in the Select Elements by Identifying field
19. Enter ‘0.985’ in the Iy Scale Factor for Sbz field.
20. Click the button
Enter the second-moment of inertia ratio according to the effective width
5. Loading Data
For this tutorial apply the pre- and post-composite loads by Element Beam Loads. Refer to the table below to apply the loads to each construction stage.
Separation | Right girder | Left girder | ||
---|---|---|---|---|
Vertical load (FZ) |
Torsional moment (MX) |
Vertical load (FZ) |
Torsional moment (MX) |
|
Pre-composite load DL (BC) |
-38.96 | -1.49 | -38.96 | 1.49 |
Load after composite DL (AC) |
-18.69 | 19.69 | -18.69 | -19.69 |
To define the loads to be applied to each construction stage, select Construction Stage Load for the Load Type.
First, set the load cases.
Main menu > [Load] Tab > [Load type] Group > Static Loads > [Create Load Cases] Group > Static Load Cases
1. Enter ‘DL (BC)1’ in the Name input field of the Static Load Cases dialog box.
2. Select ‘Construction Stage Load’ in the Type selection box.
3. Click the button
4. Refer to the picture below and repeat steps 2 to 5 to enter the remaining load cases
5. Click the button
Enter load cases
5-1 Input Dead Load Before Composite Action
Input the uniformly distributed load on the beam element using the Element Beam Loads function.
Main menu > [Load] Tab > [Load type] Group > Static Loads > [Static Loads] Group > Self Weight
1. Check ‘DL (BC) 1’ in the Load Case Name selection box.
2. Enter ’-1’ in Z in the Self Weight Factor input field.
3. In the Operation selection box, click the button
Main menu > [Load] Tab > [Load type] Group > Static Loads > [Static Loads] Group > Beam Loads > Element
1. Select ‘DL (BC)2’ in Load Case Name
2. Select ‘DL (BC)2’in Load Group Name.
3. Check ‘Uniform Loads’ in the Load Type selection box.
4. Select ‘Global Z’ in the Direction selection box.
5. After checking ‘x1: 0’, ‘x2: 1’ in Value, enter w. Enter ‘-38.96’
6. Click Select Elements by Identifying
7. Select ‘Section’ in the Select Type box.
8. After selecting ‘1: Sect1’, Click the button and Click the
button
9. Click the button
10. In the Select Elements by Identifying field Enter ‘2to16by2’
11. Select ‘Uniform Moments / Torsions’ in the Load Type selection box.
12. Select ‘Global X’ in the Direction selection box.
13. In Value, enter ‘1.49’ in the M field.
14. Click the button
15. In the Select Elements by Identifying field Enter ‘1to15by2’
16. In Value, enter ‘-1.49’ in the w field.
17. Click the button
Input the total composite load of CS3 section (DL (BC)3) and CS4 section (DL (BC)4) in the same way as above.
Floor load in CS2 section
Floor load in CS3 and CS4 sections
5-2 Input Dead Load after Composite Action
Input the uniformly distributed load on the beam element using the Element Beam Loads function.
Main menu > [Load] Tab > [Load type] Group > Static Loads > [Static Loads] Group > Beam Loads > Element
1. Check ‘DL (AC)’ in Load Case Name
2. Check ‘DL (AC)’ in Load Group Name
3. Check ‘Uniform Load’ in the Load Type selection box.
4. Select ‘Global Z’ in the Direction selection box.
5. After checking ‘x1: 0’, ‘x2: 1’ in Value, enter w. Enter ‘-18.69’
6. Click Select Elements by Identifying
7. Select ‘Section’ in the Select Type box.
8. After selecting ‘1: Sect1, 2: Sect2, 3: Sect3’, click the button, click the
button
9. Click the button
10. In the Select Elements by Identifying field Enter ‘2to62by2’
11. Select ‘Uniform Moments / Torsions’ in the Load Type selection box.
12. Select ‘Global X’ in the Direction selection box.
13. In Value, enter ‘-19.69’ in the M field.
14. Click the button
15. In the Select Elements by Identifying field Enter ‘1to61by2’
16. In Value, enter ’19.69’ in the M field.
17. Click the button
Enter additional dead load
6. Construction Stage Definition
6-1 Element Group Definition
Enter elements and nodes into the element group to be used when defining the construction stage.
Go to Group in the Tree Menu
1. Click Select All
2. In Structure Group, select ’SGroup’ with the left mouse button and then go to Model View. Drag and drop (Drag & Drop function)
Assign elements to Structure Group
6-2 Composition of Construction Stage
Refer to the following table to define each construction stage.
Construction Stage | Element Group | Boundary condition group | Load group (Activation) | Duration | Remarks | |
---|---|---|---|---|---|---|
Group | Step | |||||
CS1 | SGroup | BGroup |
DL (BC)1 DL (BC)2 |
First step First step |
5 | Non-composite section |
CS2 | - | E_Width1 | DL (BC)3 |
Day 25 (User step) |
30 |
Composite action in CS2 section |
CS3 | - | E_Width2 | DL (BC)4 |
Day 25 (User step) |
30 |
Composite action in CS3 section |
CS4 | - | E_Width3 | DL (AC) | First step | 10,000 |
Composite action in CS4 section |
Main Menu > [Load] tab > [Load Type] Group > Construction Stage > Define C.S
1. Click the button
2. Enter ‘CS’ in the Stage Name input field.
3. Enter ‘1to4’ in the Suffix field.
4. Enter ‘30’ in the Duration field.
5. Enter ’25’ in the Day input field of Additional Steps, click the button
6. Click the button
Generate function at each construction stage
Click the Generate button to generate every construction stage at once, and then modify the data for the stage selected. Select CS1 and modify the data for the stage.
1. After clicking ‘CS1’, click the button
2. Enter ‘0’ in the Day input field of Additional Steps, click the button
Since the material to be activated is steel, enter the age as ‘0’.
3. Enter ‘5’ in the Duration field.
4. Select Group List ‘SGroup’ in the Element tab and enter Age in the field. Enter ‘0’
5. Click the button
6. After selecting Group List ‘BGroup’ in the Boundary tab, Select ‘Deformed’
7. Click the button
8. In the Load tab, select Group List ‘DL (BC)1, DL (BC)2’ and select Active Day as ‘First’.
If the activation time is set to First when inputting the load, the load will be applied from the first day during the duration of the relevant construction stage.
9. Click the button
10. Click the button
CS1 Construction Stage Modification
Modify CS2, CS3.
1. After clicking ‘CS2’, click button
2. After selecting Group List ‘E_Width1’ in the Boundary tab, Select ‘Deformed’
3. Click the button
4. In the Load tab, select Group List ‘DL (BC)3’ and then on Active Day, Select ‘25’
5. Click the button
6. Click the button
7. After clicking ‘CS3’, click the button
8. After selecting Group List ‘E_Width2’ in the Boundary tab, Select ‘Deformed’
9. Click the button
10. After selecting Group List ‘DL (BC)4’ in the Load tab, Select ‘25’ on Active Day
11. Click the button
12. Click the button
CS2, CS3 construction stage modification
For CS4, to view the long-term behavior of the structure, enter 10,000 days as the number of construction days and modify the load group to activate the additional dead load.
1. After clicking ‘CS4’, click the button
2. Enter ‘0’ in the Day input field of Additional Steps, click the button
3. Enter ‘10000’ in the Duration field.
4. After selecting Group List ‘E_Width3’ in the Boundary tab, Select ‘Deformed’
5. Click the button
6. After selecting Group List ‘DL (AC)’ in the Load tab, Select ‘First’ on Active Day
7. Click the button
8. Click the button
CS4 construction stage modification
Construction stage definition dialog box
6-3 Definition of Composite Section for Each Construction Stage
Specify the construction stage at which the girder or slab sections become activated. When the Section Type is set to “Composite”, the previously defined section properties can be used. Refer figure below to specify the Active Stage at which the girder or slab sections become activated. For this example, model assume that every girder is activated at CS1.
Construction sequence for deck and each part of the deck section
Firstly assign the first part of the slab section (i.e., CS2).
By default, Composite Type is set to “Normal”. Note that Part 1 and Part 2 only are available for entering the construction stage. When “User” is selected from the Composite Type drop-down list, you can assign as many Parts as you desire, where you must use the outer dimensions or centroid pertaining to the post-composite section.
Main Menu > [Load] tab > [Load Type] Group > Construction Stage > Composite Section for C.S
1. Click the button
2. Select ‘CS1’ in the Active Stage selection box.
3. Select ‘1 : Sect1’ in the Section selection box.
4. Select ‘Normal’ in the Composite Type selection box.
5. In the Part 1 input box, enter ‘Element’ in the Material Type and ‘Active Stage' in Composite Stage input box. Enter ‘0’ in the Age field.
6. In the Part 2 input field, enter ‘Material’ in the Material Type, ‘3:Grade C6000’ in the Material input field, ‘CS2' in the Composite Stage input field and enter ‘5’ in the Age input field.
The girders (Part 1) will be activated in the Active Stage, that is, CS1 and slab (Part 2) activated in CS2.
An initial age input in the Composite Section for Construction Stage dialog box will have priority to the age input in the Define Construction Stage dialog box.
7. Click the button
Define a composite section for construction stage
The following defines the second and third floor slab pour sections.
Main Menu > [Load] tab > [Load Type] Group > Construction Stage > Composite Section for C.S
1. Click the button
2. Select ‘CS1’ in the Active Stage selection box.
3. Select ‘2 : Sect2’ in the Section selection box.
4. Select ‘Normal’ in the Composite Type selection box.
5. In the Part 1 input box, enter ‘Element’ in the Material Type and in the Composite Stage input box. Enter ‘0’ in the Age input field.
6. In the Part 2 input field, enter ‘Material’ in the Material Type, ‘3:Grade C6000’ in the Material input field, ‘CS3’ in the Composite Stage input field and enter ‘5’ in the Age input field
7. Click the button
8. Select ‘3 : Sect3’ in the Section selection box.
9. Select ‘Normal’ in the Composite Type selection box.
10. In the Part 1 input box, enter ‘Element’ in the Material Type and ‘Active Stage’ in the Composite Stage input box. Enter ‘0’ in the Age input field.
11. In the Part 2 input field, enter ‘Material’ in the Material Type, ‘3:Grade C6000’ in the Material input field, ‘CS4’ in the Composite Stage field and enter '5' in the Age field
12. Click the button
Define a composite section for construction stage
Enter Construction Stage Analysis Data to perform construction stage analysis.
Main menu > [Analysis] tab > [Analysis Control] group > Construction Stage
1. Select ‘Last Stage’ in Final Stage
2. Check ‘Include Time Dependent Effect’ in Analysis Option
3. Click the [Time Dependent Effect Control] button
4. Check on ‘Creep & Shrinkage’, Select Creep / Shrinkage
5. Enter Number of Iterations ‘5’ , and ‘0.01’ in Tolerance in the Convergence for Creep Iteration box.
6. Enter ‘1’ in the Internal Time Step for Creep field.
7. Check on ‘Auto Time Step Generation for Large Time Gap’
Checking Auto Time Step Generation for Large Time Gap will create internal steps when the duration of the construction stage is too long, to consider the sustained loads.
8. Check On ‘Variation of Comp. Strength’
Definition of construction stage analysis control
Checking Calculate Output of Each Part will calculate the forces for each part of the composite section.
In a construction stage analysis, all the load cases except for tendon relaxation and time-dependent loads are lumped into Dead (CS) and the results are produced under Dead (CS). With the Load Cases to be distinguished from Dead Load for CS Output checked, we can select Beam Loads or Nodal Loads as desired to be distinguished from the Dead (CS) and produce the results under Erection Load (CS).
7. Perform Structural Analysis
The construction stage analysis input for the composite section has been completed, so structural analysis is performed.
Main menu > [Analysis] tab > [Perform] Group > Perform Analysis
8. Review of Analysis Results
There are two methods of reviewing analysis results from construction stage analysis. One is to review accumulated member forces and displacements of all the members at each specific construction stage, and the other is to review the changes of stresses in each part of the composite section due to preceding construction stages in a table format.
8-1 Check Member Forces
Review the member forces at the construction stage CS4, which represents the completion of long-term loss.
Here Summation = Dead + Erection Load + Creep Secondary + Shrinkage Secondary
Main menu > [Results] Tab > [Load Type] Group > Analysis Result > [Result Display] Group > Forces > Beam Diagrams
1. Select ‘CS4’ in Stage
2. Select ‘CS : Summation’ in the Load Cases / Combinations selection box.
3. Select ‘Last Step’ in the Step selection box.
4. Click ‘My’ in Components
5. Check ‘Contour’ in the Type of Display selection box.
6. Click the button
Moment diagram in CS4
Next, check the moment change at each stage.
Moment diagram at each construction stage
8-2 Check Stresses
Review the stresses for each part of the composite section at the construction stage CS4, which represents the completion of long-term loss.
Main menu > [Results] Tab > [Load Type] Group > Analysis Result > [Tables] Group > Result Tables > Composite Section for C.S > Beam Stresses
1. Enter ‘19’ in the element input field.
2. Check on ‘Summation (CS)’ in the Load Cases / Combinations selection box.
3. In the Stage / Step selection box, ‘CS1 : 001(first) ~ CS4 : 002 (last)’ select
4. Select ‘Part j’ in the Part Number selection box.
5. Click the button
Member force and stress table for each construction stage of the composite section
When live loads and general loads are applied after construction stages are completed, the program creates a new load combination to combine those loads and construction stage loads and determines stresses for PostCS design (i.e., Post Construction Stage design).