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2. Design by Eurocode No.2 a Concrete Building Applicable CivilFEM Product: All CivilFEM Products Level of Difficulty: Easy Interactive Time Required: 30-35 minutes Discipline: Concrete Analysis Type: Linear static Element Type Used: BEAM3 Active Code: Eurocode Nº2 Units System: N, m, s CivilFEM Features Demonstrated: Units selection, code selection, material
definition, concrete section definition, reinforcement and postprocessing of stresses
Problem Description The objective is to design the necessary reinforcement of a 2 span and two floors building loaded with distributed load as shown in the figure below. It has a rectangular cross-section.
B B
H
H
0.30 m
0.30 m
P
D
D
Exercise 2: Concrete Building Design 2-1
Given The geometry and load distribution of the simply supported beam are shown in the previous figure. The following is a list of all the input parameters:
Concrete C25/30
Reinforcing Steel S 500
Geometric dimensions
B = 5 m
H = 3 m
Loads: - Punctual load P of 100 kN located at the middle of diagonal bar.
- Dead load D of 100 kPa located on first floor and roof.
Approach and Assumptions We are going to discretize the beam with a 2D model, using linear beam elements. Model geometry is defined with solid modeling and automatic meshing of elements and nodes.
2-2 Exercise 2: Concrete Building Design
Summary of Steps
Preprocessing 1. Specify title 2. Set code and units 3. Define material 4. Define element type 5. Define solid modeling entities 6. Beam & Shell Properties 7. Define Solid Modeling entities 8. Meshing 9. Save the database
Solution 10. Apply displacement constraints 11. Apply pressure load 12. Solve
Postprocessing 13. Enter the postprocessor and read results 14. Plot the deformed shape 15. Plot Bending Moment 16. Axial + bending Checking 17. Axial + bending Design 18. Plot Reinforcement Factor 19. Exit the ANSYS program 20. Log File
Exercise 2: Concrete Building Design 2-3
Interactive Step-by-Step Solution
Preprocessing A typical CivilFEM analysis begins with providing data such as the units system, active code, materials, element types, model and section geometry definition
1. Specify title
Although this step is not required for a CivilFEM analysis, we recommend that you make it part of all your analyses.
Utility Menu: File →Change title
Enter the title: “Concrete Building Reinforcement”
OK to define the title and close the dialog box.
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2. Set code and units
Main Menu: − CivilFEM − Civil Setup
Select CivilFEM Setup
Choose Units
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2-4 Exercise 2: Concrete Building Design
Ok to use SI units
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Exercise 2: Concrete Building Design 2-5
3. Define material
Material properties definition is performed with the CivilFEM ~CFMP command. This command automatically defines the ANSYS material properties (density, Young’s modulus, Poisson’s ratio and thermal expansion coefficient) and the CivilFEM material properties necessary for code checking. In this case we will select Fe 510 steel.
The CivilFEM ~CFMP command allows us to define stress-strain diagrams, to define safety coefficients, to control the linear or non-linear behavior of the material and to select the activation time of the material.
Main Menu: − CivilFEM − Civil Preprocessor →Materials
Pick New Material
Choose Materials
Pick on Concrete
Pick on the EC2 icon to choose C25/30
Add
Pick on Reinforcing Steel
Pick on the EC2 icon to choose S 500
Add
Exit
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2-6 Exercise 2: Concrete Building Design
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Ok to exit 10
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Exercise 2: Concrete Building Design 2-7
4. Define element type
Checking and designing according to codes is performed only on CivilFEM supported element types. Although you can use any ANSYS element to define your model, only the CivilFEM supported elements will be checked according to codes. In the element type menu you can see the CivilFEM supported beam elements.
We will use a 2D elastic Beam 3 for this analysis.
Main Menu: − CivilFEM − Civil Preprocess →Element Types →Civil Beams
Select 2D Elastic Beam 3
OK to define element type
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5. Define concrete cross section
Main Menu: − CivilFEM − Civil Preprocessor →Cross Sections
Click Concrete button 1
2-8 Exercise 2: Concrete Building Design
Select Rectangular shape
Enter Ywidth = 0.3 and Zdepth = 0.3
OK to define concrete cross section
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Exercise 2: Concrete Building Design 2-9
Modify 4
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Go to Edit Reinforcement Groups 5
Pick on New Reinforcement button to define group 1 6
2-10 Exercise 2: Concrete Building Design
7 Select Material 2
Enter Geometrical cover Gc= 0.03 m 8
Choose Face 2 9
10 Select 0: Scalable
Amount by number of bars 11
Enter 3 as number of bars 12
Choose Fi = 20 mm 13
Select 4: Bars at both end at MC 14
Ok 13 15
Exercise 2: Concrete Building Design 2-11
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Pick on New Reinforcement to define group 2 16
2-12 Exercise 2: Concrete Building Design
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17 Select Material 2
Enter Geometrical cover Gc= 0.03 m 18
Choose Face 4 19
20 Select 0: Scalable
Amount by number of bars 21
Enter 3 as number of bars 22
Choose Fi = 20 mm 23 23
Select 4: Bars at both end at MC 24
Ok 13 25
Exercise 2: Concrete Building Design 2-13
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Ok again and exit 26
2-14 Exercise 2: Concrete Building Design
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6. Beam & Shell Properties
CivilFEM command ~BMSHPRO will be used to define ANSYS real constants.
Exercise 2: Concrete Building Design 2-15
Main Menu: − CivilFEM − Civil Preprocessor →Beam & Shell pro
Click the New Beam button 1
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2 Select cross section number 1
3 Enter “Concrete Beam” as name for the Beam property
Select element type BEAM3 4
2-16 Exercise 2: Concrete Building Design
5 4 3
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5 Apply
6 Exit Beam & Shell Properties
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Exercise 2: Concrete Building Design 2-17
7. Define solid modeling entities
Now we create keypoints.
Main Menu: Preprocessor → − Modeling − Create →Keypoints →In Active CS
Enter 1 for first keypoint
Enter x=0, y=0 for coordinates of keypoint 1
Apply to create the first keypoint
Enter 2 for second keypoint
Enter x=5, y=0 for coordinates of keypoint
Ok
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Follow the same procedure in point 3 ( x=10, y=0)
Now we copy all these points :
Main Menu: Preprocessor → −Modeling− Copy → Keypoints
7 Pick alll
8 Enter 2 copies
9 Enter 3m as Y offset
2-18 Exercise 2: Concrete Building Design
10 Ok
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Now we create lines joining these keypoints
Exercise 2: Concrete Building Design 2-19
Main Menu: Preprocessor → −Modeling− Create →Lines → Straight Line
Floor:
7 Pick keypoint 4 and then keypoint 5 .
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8 Pick keypoint 5 and then keypoint 6
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9 Pick keypoint 4 and then keypoint 7
2-20 Exercise 2: Concrete Building Design
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Follow the same procedure to create lines for the roof between keypoints 7-8
Now for first column:
10 Line between keypoint 1 & 4
Now for second column:
11 Line between keypoint 2 & 5
12 Line between keypoint 5 & 7
And for third column
13 Line between keypoint 3 & 6
14 Line between keypoint 6 & 8
Exercise 2: Concrete Building Design 2-21
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10 11 13
8. Meshing
Main Menu: Preprocessor →Meshing→Mesh Tool
In Size Controls: Pick on Global Set
Enter 10 as number of element divisions
Ok
Mesh
Pick all
Close Mesh Tool
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5 4
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2-22 Exercise 2: Concrete Building Design
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Select everything: Utility Menu: Select →Everything
9. Save the database
Toolbar: CFSAVE
Exercise 2: Concrete Building Design 2-23
Solution
10. Apply displacement constraints
Main Menu: Solution → − Define Loads − Apply → – Structural – Displacement →On Nodes
Pick the three nodes at supports
Ok
Choose ALL DOF
Ok
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2-24 Exercise 2: Concrete Building Design
Select everything: Utility Menu: Select →Everything
11. Apply pressure load
Main Menu: Solution → − Loads − Apply→ − Structural − Pressure →On Beams
Pick floor & roof elements : 11 to 20 and 31 to 40 to select them ( a total of 20)
Enter 1 for Load key
Enter 100000 for VAL I
OK to apply pressure and close dialog box
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Exercise 2: Concrete Building Design 2-25
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Select everything: Utility Menu: Select →Everything
2-26 Exercise 2: Concrete Building Design
12. Apply punctual load
Main Menu: Solution → − Loads − Apply→ − Structural − Force/Moment →On Nodes
The force of 100 kN is divided into FX and FY components:
Select node number 27
Ok
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Exercise 2: Concrete Building Design 2-27
3 Choose FX
Enter value of 85750 N
Apply
Select again node 27
Enter value of -51450 N
Ok
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2-28 Exercise 2: Concrete Building Design
12. Solve
Main Menu: Solution → − Solve − Current LS
Review information in the status window, and then close the window
OK to begin the solution
Close the information window when solution is done
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Exercise 2: Concrete Building Design 2-29
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2-30 Exercise 2: Concrete Building Design
Postprocessing Postprocessing is where you review the analysis results through graphic displays and tabular listings.
13. Enter the postprocessor and read results
You must select the load step from which you want to read the results data, from the CivilFEM results file. This results file contains the calculated forces, moments and stresses.
Main Menu: − CivilFEM − Civil Postprocess →Read Results → By Load Step
Enter 1 in the Load Step number box
OK to read load step 1
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14. Plot the deformed shape
Main Menu: General Postproc →Plot Results →Deformed Shape
Choose Def + undef edge
OK
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Exercise 2: Concrete Building Design 2-31
15. Plot Bending Moment
Main Menu: − CivilFEM − Civil Postprocess →Code Design →Eurocode No.2: Beam Results→Beams Utilities→Graph Results→Forces & Moments
Choose Bending Mom Z
OK
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2-32 Exercise 2: Concrete Building Design
16. Axial + Bending Checking
Main Menu: − CivilFEM − Civil Postprocess →Code Checking →Eurocode No.2: Check by code→Beams & Solid: 2D Axial + Bend
Ok
We plot results:
Main Menu: − CivilFEM − Civil Postprocess →Code Checking →Eurocode No.2: Beam Results→ Plot results
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Exercise 2: Concrete Building Design 2-33
Ok to plot Eurocode No.2 checking criterion. 1
17. Bending and Axial Design
The CivilFEM ~DIMCON command design reinforced concrete cross sections.
Main Menu: − CivilFEM − Civil Postprocess →Code Design →Eurocode No.2: Design by code→Beams & Solid: 2D Axial + Bend
Enter 0.5 and 70 as minimum & maximum amount of allowable reinforcement
Ok
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2-34 Exercise 2: Concrete Building Design
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18. Plot Reinforcement factor
Main Menu: − CivilFEM − Civil Postprocess →Code Design →Eurocode No.2: Beam Results→ Plot results
Choose Reinfact and Ok
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Reinforcement factor is plotted, the total reinforcement area must be multiplied by this factor to design by Eurocode No.2.
Exercise 2: Concrete Building Design 2-35
19. Exit the ANSYS program
ANSYS Toolbar: Quit
Choose to save everything
OK
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2-36 Exercise 2: Concrete Building Design
20. Log File
FINISH
~CFCLEAR,,1
/TITLE,CONCRETE BUILDING REINFORCEMENT
~UNITS,SI
FINISH
/PREP7
! ELEMENT TYPE
ET,1,BEAM3
! MATERIALS
~CFMP,1,LIB,CONCRETE,EC2,C25/30,0,0,0
~CFMP,2,LIB,REINF,EC2,S500,0,0,0
! CROSS SECTION
~CSECDMS,1,REC,1,0.3,0.3,
! BENDING REINFORCEMENT
~RNFDEF,1,1,2,2,0,0.03,,,20,3,,,4
~RNFDEF,1,2,2,4,0,0.03,,,20,3,,,4
! BEAM & SHELL PROPERTY
~BMSHPRO,1,BEAM,1,1,,,3,1,0,CONCRETE BEAM
! MODEL
K,1, 0,0
K,2, 5,0
K,3,10,0
KGEN,2,ALL,,,,3,,0,0
Exercise 2: Concrete Building Design 2-37
K,7, 5,6
K,8,10,6
L,4,5 $ L,5,6 ! 1ST FLOOR
L,4,7 $ L,7,8 ! ROOF
L,1,4 ! 1ST COLUMN
L,2,5 $ L,5,7 ! 2ND COLUMN
L,3,6 $ L,6,8 ! 3RD COLUMN
! MESHING
ESIZE,,10
LMESH,ALL
/SOLU
! BOUNDARY CONDITIONS
NSEL,S,LOC,Y,0
D,ALL,ALL
ESEL,S,ELEM,,11,20
ESEL,A,ELEM,,31,40
SFBEAM,ALL,1,PRES,100000
ALLSEL,ALL
F,27,FX,85750
F,27,FY,-51450
ALLSEL,ALL
SOLVE
/POST1
~CFSET,,1,1
2-38 Exercise 2: Concrete Building Design
! BENDING MOMENT
~PLLSFOR,M,Z,-1,
! DEFORMED SHAPE
PLDISP,2
~CHKCON,2DB
~PLLSCON,ELM_OK,1,
~PLLSCON,CRT_TOT,1,
! BENDING+AXIAL DESIGN
~DIMCON,2DB,,,0.5,70
~PLLSCON,REINFACT ! REINFORCEMENT FACTOR
Exercise 2: Concrete Building Design 2-39