Beam workbench13

Static Analysis of Beam
by Finite Element Method
In Ansys Workbench version 13
HORYL Petr
Ostrava 2012

Simply Beam 2
Contents
• Open Static Structural
• Design Modeler (DM) – Geometry
• Model – input Geometry from DM,
Connections, Mesh
• Static Structural - Boundary Conditions
(Force, Moment, Line
Pressure, Joints)
• Solution – Results (Displacement, Internal
Forces, Stress…)

Simply Beam 3
Simply Beam StructureSimply Beam Structure
D d1
a) Maximum deflection
b) Course of internal forces - axial force, shearing force and bending moment
c) Maximum of normal stress
Cross-section of beam: D = 152 mm, d1 = 60 mm
Material properties: Steel Young's modulus of elasticity E = 2.1E5 MPa,
Poisson's ratio ν = 0.3
BA
6 m
q= 2.5 kN/m
M = 4 kNm
3 m
F= 3kN
α = 46o
5 m
C DPart1 Part2 Part3

Simply Beam 4
New ProjectNew Project
2
1
After starting the Workbench 13 select the type of analysis – „Static
Structural“(arrow No 1) and type new name of project (2)

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Material PropertiesMaterial Properties
In window „Engineering Data“ we choose „Click here to add a new material“ . Potom napíšeme
jméno nového materiálu „Beam Material “ (Arrow no 1) a výběrem „Isotropic Elasticity“ (2) jsme
vyzváni k zadání příslušných materiálových dat v nově se otevírající tabulce hodnot ve spodní
části okna (3.). Zpět se vrátíme příkazem „Return to Project“ (4.)

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Units „mm“Units „mm“
Now we can select „Units“ (1). For example „Metric“ with „mm“
(2)
1
2

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Open Geometry =Open Geometry =>> Window „Design Modeler“Window „Design Modeler“
For creation beam geometry you must click on row „Geometry“ (1). Name of
opening window will be „Design Modeler“
1

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1
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3
Geometry - PointsGeometry - Points
In the next window „Geometry“ we start creation of the four point from A till D, see picture of beam.
Click on „Point“ (1), in the card below left choose „Manual Input“ (2), type “Coordinates X, Y, Z” of
the point (3) and click on “Generate”(4). You can “Rename”(5) Point1 to PointA. In the middle of
window you can see “PointA”(6). Repeat it for PointB to PointD.
4
5
6

Simply Beam 9
Geometry –Geometry – 44 PointsPoints
All 4 Points were created.

Simply Beam 10
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5
Geometry –Geometry – LinesLines
Now we continue creation geometry namely lines. Click on „Concept“(1), in the menu top left
and choose „Lines From Points“(1). Hold “Ctrl“ keyboard button and select by left mouse
button “PointA”(2) and “PointC”(3). Confirm by mouse “Apply”(4) and click on “Generate”(5).
We have created Part1 of our beam. Repeat it for Part1 and Part2

Simply Beam 11
Geometry –Geometry – 3 Lines => Part1 to Part33 Lines => Part1 to Part3
All 3 Lines were created.
PointA
PointB
PointC
PointD
Part1
Part2
Part3

Simply Beam 12
Cross sectionCross section
1
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5
Now we select cross section of our beam. Click on „Concept“(1), in the menu top left and
choose „Cross Section“(2) and “Circular Tube”(3). In the card below left, type outer “Ro“ and
internal “Ri” radius(4). In main window you see cross section(5).

Simply Beam 13
Cross section for our beamCross section for our beam
1
2
3
Click on „Line Body“(1), in the menu top left and choose „Cross Section“ and “Circular
Tube”(2). Confirm it by “Generation“(3). Save Project and Exit Design Modeler.

Simply Beam 14
Transition between GeometryTransition between Geometry and Modeland Model
For the correct transition between windows „Geometry“ and „Model“must be checked „Geometry
Import“. In our project window click on „Tools (1) – Options - Geometry Import (2)“ and check
tick box „Line Bodies“(3). Now open window „Model“ (4).
3
1
2
4

Simply Beam 15
Creation Path in Construction GeometryCreation Path in Construction Geometry
To plot internal forces in the beam-shaped „Shear Force - Bending Diagramm“, we must
choose on beam „Path“. In Modeler window click on „Model“(1), „Construction Geometry“(2) and
„Path“(3). Then change the „Details of Path“(4) for „Path Type“(5) on „Edge“(6).
4
5
6
1
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3
3

Simply Beam 16
Creation Path in Construction Geometry - continueCreation Path in Construction Geometry - continue
Click on „Path“(1). Choose „Line“(2) in Selection boxes. Hold “Ctrl“ keyboard button
and select by left mouse button all three lines from left to right. Click on „Apply“(3).
1
2
3

Simply Beam 17
Creation Path in Construction Geometry - continueCreation Path in Construction Geometry - continue
We get right „Path“(1) for whole beam from starting „Edge“(2) to ending „Edge“(3)
1
2
3

Simply Beam 18
Mesh GenerationMesh Generation
Left mouse button click on „Mesh“(1), open „Element Size“(2) in Details of „Mesh“
and type 50mm (2). Click right mouse button again on Mesh and „Generate
Mesh“(3). Zoom right end of our beam and look at Circular Tube Cross Sections(4) .
1
2
3
4

Simply Beam 19
Boundary Conditions -Boundary Conditions -> Joint> JointAA in PointAin PointA
Click on „Static Structural“ insert „Supports“(1) and „Remote Displacement“(2).
Because joint in PointA has free only rotation around axis Z, we must change these
degree of freedom in row “Rotation Z“ to „Free”(3). Click on selecting box for “Point”
and select “PointA”(4) and click on “Apply”(5). Rename „Remote Displacement“ in
the tree to „JointA“(6)
1
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5
6

Simply Beam 20
Boundary Conditions -Boundary Conditions -> Joint> JointAA in PointAin PointA continuecontinue
Picture shows only one free degree of freedom for JointA namely “Rotation: 0,, 0,,
Free”(1). Rename this row in tree to “JointA”(2).
1
2

Simply Beam 21
Boundary Conditions -Boundary Conditions -> Joint> JointBB in PointBin PointB
On the same way we create “JointB”(1), but here we have two Free degree of freedom :
“X Component - Free”(2) and “Rotation Z - Free”(3). We renamed joint to “PointB”(4)
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2
4
3

Simply Beam 22
Boundary Conditions -Boundary Conditions -> Force, Moment and Line Pressure> Force, Moment and Line Pressure
Click right mouse button on “Static Structural – Insert”(1). In the next step, we will
need “Force”(2), “Moment”(3) and “Line Pressure”(4).
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4

Simply Beam 23
Boundary Conditions -Boundary Conditions -> Force> Force
Click right mouse button on “Static Structural“(1) „Insert“(2) and „Force”(3).
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1

Simply Beam 24
7
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Boundary Conditions -Boundary Conditions -> Force> Force continuecontinue
In the left below table „Details of „Force“(1) change in row „Define by“ to „Components“(2).
Type -2084 into row „X Component“(3) e.g. FX=F*cos(alfa)= 3000*cos(46). Type -2158 into row „Y
Component“(4) e.g. FX=F*sin(alfa)=3000*sin(46). Click on selecting box for “Point”(6) and select
“PointD”(7) and click on “Apply”. In the middle of window you can notice red force vektor(8)
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4
1

Simply Beam 25
Boundary Conditions -Boundary Conditions ->> MomentMoment
Similarly as Force, specify moment to „PointC“(1) as „Z Component“(2) -4E6 N.mm. In
the middle of window you can notice sense of bending moment M, drawn in red (1)
2
1

Simply Beam 26
Boundary Conditions -Boundary Conditions ->> Line PressureLine Pressure
Similarly as previous boundary conditions specify „Line Pressure“ on „Part2“(1). You
must select box „Line“(2) from selection boxes. Into table „Details of „Line Pressure“(3)
type -2,5 N/mm in row „Y Component“(4) and click on „Apply“(5).
2
1
3
4
5

Simply Beam 27
Boundary Conditions -Boundary Conditions ->> Line Pressure continueLine Pressure continue
In the middle of window you can notice red „Line Pressure“(1) with Y Component
-2,5 N/mm(2).
1
2

Simply Beam 28
All Boundary Conditions in one pictureAll Boundary Conditions in one picture
If you click on „Static Structural“ you can see all Boundary Conditions with their
values(1).
1

Simply Beam 29
SolutionSolution
Now befor Solution we must prepare results which we need for our example analysis.
It could be „Deformation“(1), „Beam Results“(2) for getting internal forces or „Beam
Tool“(3) for stress results.
1
2
3

Simply Beam 30
SolutionSolution
As you can see, we select: „Total Deformation“, „Axial Force“, „Total Shear
Force“, „Total Bending Moment“(1) and „Directional Shear-Moment Diagram
(VY-MZ-UY)“(2). Befor selecting row „Directional Shear-Moment Diagram (VY-
MZ-UY)“(2) in table „Details of …“, we must select in row „Path“ the same name
for our beam also „Path“(3).
1
2
3

Simply Beam 31
Solution – Beam Tool and Force ReactionSolution – Beam Tool and Force Reaction
We can add also: „Beam Tool“(1) with three possibility of resulting stress. „Direct
Stress“, „Minimum Combined Stress“ and „ Maximum Combined Stress“(2).
Important are also reaction forces. Click on „Probe“(3) and „Force Reaction“(4).
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4

Simply Beam 32
Solution – Force Reaction continueSolution – Force Reaction continue
After clicking on „Probe“ and „Force Reaction“ select in table „Details of „Force
Reaction“(1) row „Boundary Condition - JointA“(2). After that you can see
small green table in the place of JointA „Force Reaction“(3). Do the same proces
for JointB.
1
2
3

Simply Beam 33
Solution - SolveSolution - Solve
1
Start computing proces with clicking on „Solve“(1)

Simply Beam 34
Results – Total DeformationResults – Total Deformation
Details on exercises
1
2
3

Simply Beam 35
Results – Total DeformationResults – Total Deformation

Simply Beam 36
Results – Axial ForceResults – Axial Force

Simply Beam 37
Results – Shear ForceResults – Shear Force

Simply Beam 38
Results – Bending MomentResults – Bending Moment

Simply Beam 39
Results – Axial SressResults – Axial Sress

Simply Beam 40
Results – Maximum Combined SressResults – Maximum Combined Sress

Simply Beam 41
Results – Shear-Moment-DiagramResults – Shear-Moment-Diagram

Simply Beam 42
Results – Force Reaction in JointAResults – Force Reaction in JointA

Simply Beam 43
Results – Force Reaction in JointBResults – Force Reaction in JointB

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