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Problem Specification
1. Start-up and preliminary set-up
2. Specify element type and constants
3. Specify material properties
4. Specify geometry
5. Mesh geometry
6. Specify boundary conditions
7. Solve!
8. Postprocess the results
9. Validate the results
Problem Set 1
Problem Set 2
This is an introductory tutorial on the ANSYS software package that deta=
ils how to solve a simple static truss problem. No previous knowledge of AN=
SYS is assumed in this tutorial.
Problem Specification
Determine the force in each member of the following truss using ANSYS 12=
.1. Indicate if the member is in tension or compression. The cross-sectiona=
l area of each member is 0.01 m, the Young's modulus is 200x109 =
N/m2 and Poisson ratio is 0.3.
The solution in ANSYS for this and subsequent tutorials is divided into =
the nine steps listed in the grey area above. Note that you'll need to foll=
ow these same nine steps for solving almost any problem in ANSYS or a compa=
rable finite-element analysis package.
Go =
to Step 1: Start-up and preliminary set-up
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e complete Learning Module
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earning Modules
Step 1: =
Start-up & preliminary set-up
Take a few minutes to review the conv=
entions used in the tutorials which are given on the main page.
Start ANSYS
Create a folder called ansys at a convenient location. We'll us=
e this folder to store files created during the session.
There are two ways to launch ANSYS.
- Using the ANSYS=
Product=
Launcher is the elegant way to start ANSYS. One speci=
fies the working folder, job name etc. in the Product Launcher. We=
will use this approach below.
- One can alternatively start the ANSYS graphical user interface (GUI) di=
rectly and then set the jobname etc. within the GUI. This can be messy with=
the beginner often not sure where the files from the session are being sto=
red. This is not the recommended way to start ANSYS.
Start the ANSYS Product Launcher from the Start menu. The usual=
location is:
Start > All Programs > ANSYS 12.0 > Mechanical APDL Pro=
duct Launcher
Note that in version 11, it is at
Start > Programs > ANSYS 11.0 > ANSYS Product Launcher<=
/strong>
In the window that comes up, enter the location of the folder you just c=
reated as your Working D=
irectory by browsing to it. If you specify, say, C=
:\ansys as your working directory, all files generated during the ANSY=
S run will be stored in this folder.
Specify truss
as your Job Name. The job name is the prefix use=
d for all files generated during the ANSYS run. For example, when you perfo=
rm a save operation in ANSYS, it'll store your work in a file called tr=
uss.db in your working directory.
Click on Run. This brings up the ANSYS interface. To make the best use of s=
creen real estate, move the windows around and resize them so that you appr=
oximate this screen arrangement. This w=
ay you can read instructions in the browser window and implement them in AN=
SYS. Note that this tutorial has been formatted to fit in a skinny browser =
window. If your monitor screen is small, you can use Alt+Tab keys =
to conveniently switch between the ANSYS and browser windows (this trick wo=
rks in Microsoft Windows).
You can resize the text in the browser window to your taste and comfort =
as follows:
In Internet Explorer: Menubar > View > Text Size,=
then choose the appropriate font size.
In Mozilla Firefox: Menubar > View > Zoom =
p>
The ANSYS interface consists of the following entities:
Note that the job name truss appears in parenthesis in the titl=
e bar of the Utility Menu.
We'll more or less work our way down the Main Menu as we go through the sol=
ution steps.
This is the window where the geometry, mesh, applied boundary conditions=
, and results such as stress values are displayed.
ANSYS Toolbar contains shortcuts to often used commands such as save and can be customized by the user for convenience.
- ANSYS 11.0 Output Window:
=
a>
This is the window to which output from ANSYS commands is written and wh=
ich provides feedback on the actions taken by ANSYS as you navigate the men=
us. If, at some point, you are not sure you clicked the right button or ent=
ered a value correctly, this is where to look first to figure out what you =
just did.
Set Preferences
We'll more or less work our way down the Main Menu.
Main Menu > Preferences
In the Preferences for GUI Filtering dialog box, click on the b=
ox next to Structural so that a tick mark appears in the box.
The effect of selecting the structural prefer=
ence is that only menu options applicable to structural mechanics are shown=
in the graphical user interface; options related to other disciplines such=
as thermal, fluid and electromagnetics are grayed out. This helps a little=
while navigating the vast menu options within ANSYS. |
Click OK to close the Pr=
eferences dialog box.
Go =
to Step 2: Specify element type and constants
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earning Modules
Step 2: =
Specify element type and constants
Enter the Preproce=
ssor module
Main Menu > Preprocessor
This is the module where you create the geometry, specify appropriate di=
splacement constraints and loading, and mesh the geometry. We are more or l=
ess going to march down this menu to set up the problem. You will find your=
self negotiating through a series of menus as you work off the Main Menu.
Specify Element Type
ANSYS provides a large selection of element types to solve linear and no=
n-linear problems in structural mechanics, heat transfer, fluid mechanics a=
nd electro-magnetics. We next select the appropriate element type for our p=
roblem from this large list. Consider this as equivalent to rifling through=
a sizable chest, picking out one or more entities and placing them on a ta=
ble for later use (in step 5, in our case). Select
Main Menu > Preprocessor> Element Type > Add/Edit/Delet=
e > Add...
Pick Structural Link<=
/em> in the left field and 2D spar 1 in the right field. Click=
OK to selec=
t this element.
Now you will see the following in the Element Types dialog box:
LINK1 appears as the only defined element type in the Element Types dialog box. To view=
the help pages for this element type, click on Help in the Element Types dialog =
box. This brings up the Help window. Click on Search in the left pane and type=
in LINK1. (If the left pane is hidden, click the Show button in the toolba=
r). The first search result is the help page for the LINK1 element=
. Bring up this help page by double-clicking on the search result. Note tha=
t this is a two-dimensional spar element that supports uniaxial tension and=
compression but not bending, so it is appropriate for modeling a truss str=
ucture. There are two degrees of freedom at each of its two nodes: translat=
ions in the nodal x and y directions. The "1" in the element name is the in=
ternal reference number for this element type in ANSYS' list of available e=
lement types.
Before proceeding, let's take a quick peek at the pictorial summary of t=
he element types available in ANSYS. Search for "pictorial summary" and dou=
ble-click on the search result titled 3.2 Pictorial Summary. Click=
on the link to Link Elements. You will see our own humble LIN=
K1 element as well as other link elements in the pictorial summary. Cl=
icking on the LINK1 link will take you to the help page for the el=
ement that we just visited. In general, you need to take the time to unders=
tand the element types and pick the appropriate one(s) for your problem. Th=
e pictorial summary is a good place to start for identifying the appropriat=
e element type for your problem. Your choice of element type has a signific=
ant effect on the speed and accuracy of the solution. Quickly browse throug=
h the pictorial summary to get an idea of the wide variety of element types=
available in ANSYS. This is what allows the software to solve engineering =
problems from a wide variety of disciplines.
Minimize the Help window.
Close the Element Types window by clicking Cl=
ose.
Specify Element Const=
ants
Main Menu > Preprocessor > Real Constants > Add/ Edit/ =
Delete
This opens up the Real Constants<=
/em> dialog box. Click Add...=
This brings up the Element Type for Real Constants dialog box wit=
h a list of the element types defined in the previous step. We have only on=
e element type, LINK1, defined and it's automatically selected. Cl=
ick OK.
We now enter the constants needed for the LINK1 element. For AREA,=
enter 0.01
which is the Cross-sectional area of the element. We'=
ll work in SI units. Leave the Initial strain field blank since it's not appli=
cable to our problem.
It is the responsibility of the ANSYS user to make sure that the values =
entered are in consistent units. Click OK.
We see in the Real Constants menu that the constant set that we=
just created is "Set 1". So, when we mesh the geometry later on, we'll use=
the reference no. 1 to assign this constant set.
Click Close.
=
Go to Step 3: Specify material properties
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earning Modules
Step 3: Speci=
fy material properties
Main Menu > Preprocessor > Material Props > Material Mo=
dels
In the Material Model=
s Available Frame of the Define Material Model Beh=
avior window, double-click on <=
strong>Structural, Linear=
strong>, Elastic, and Isot=
ropic.
Enter 200e9
for Young's Modulus EX.
Enter 0.3
for Poisson's Ratio PRXY.
Click OK. This completes the specification of Material Model Number 1=
em>. When we mesh the geometry later on, we'll use the reference no. 1 to a=
ssign this material model. Close the Define Material Model Behavior menu.
Save your work
Utility Menu > File > Save as Jobname. db
This saves all the relevant data into one file called truss.db =
in your working directory, truss being taken from the jobname and =
db being an abbreviation for database. Verify that ANSYS has creat=
ed this "database file" in your working directory. You can restart from you=
r last save at any time using
Utility Menu > File > Resume Jobname. db or ANSYS Toolbar =
> RESUM_DB
Each time you successfully finish a series of steps, you should save you=
r work. Unfortunately, ANSYS doesn't have an undo button (though that is th=
e first thing I needed while learning ANSYS!) and one way to recover from m=
istakes is to resume from your last save.
Go =
to Step 4: Specify geometry
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e complete Learning Module
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earning Modules
Step 4: Specify geometr=
y
Overview
Since we are using the 2D Spar element, we can represent each truss memb=
er by a line. A line can be created by joining two keypoints (ANSYS termino=
logy for vertices). So we'll need three keypoints, located at A, B and C in=
the figure below. We'll locate the origin of the coordinate system at C an=
d number the keypoints at A, B and C as 1, 2 and 3, respectively.
Create Keypoints
Main Menu > Preprocessor > Modeling > Create > Keypo=
ints > In Active CS
The active CS (i.e. Coordinate System) is the global Cartesian system by=
default and we'll work only in this coordinate system in our friendly intr=
oduction. ANSYS offers the capability to switch between various types of co=
ordinate systems which will be necessary when you move on to solving super-=
duper problems.
In the Create Keypoints in Active Coordinate System dialog box,=
Enter 1
for =
Keypoint number
Enter 0
for X and 2.8
for Y
(The Z value defaults to zero)
Click Apply (which accepts the input and then brings back the dialog box for =
further input)
Note that you can move to the next field using the Tab key.
Enter 2
for =
Keypoint number
Enter 1.5
for X and 2.0
for Y
Click Apply
Enter 3
for =
Keypoint number
Enter 0
for X and 0
for Y
Click OK<=
/span> (which accepts the input and then closes the dialog box)
Note the difference between Apply and OK which holds throughout ANSYS.=
p>
The keypoints will now be displayed in the Graphics window along with a =
triad that indicates the origin of the coordinate system (coincident with k=
eypoint 3 in our case) and the axes.
Higher Resolutio=
n Image
Check Keypoints
To check if the keypoints have been created correctly:
Utility Menu > List > Keypoints > Coordinates only
This brings up a window listing the coordinates and rotation angles for =
the keypoints. Verify that you have the following:
You can rotate the coordinate system associated with each keypoint and t=
hat is what the rotation angles THXY, THYZ and THZX refer to. In our case, =
we don't need to rotate the keypoint coordinate system and so the rotation =
angles are identically zero.
Close the window listing the keypoints.
Close the Keypoints and Create menus.
Modifying Keypoints (If Necessary)
If you are like me, you made a mistake while creating keypoints and curs=
ed that there is no undo button. To correct your mistake(s), you can delete=
keypoints and re-create them. In case you need to delete a keypoint, do th=
e following:
Main Menu > Preprocessor > Modeling >Delete > Keypoi=
nts
This brings up the so-called pick menu.
Click on the keypoint you want to delete. A square appears around that k=
eypoint indicating that it is selected. (Repeat for other keypoints as nece=
ssary.)
Click OK<=
/span> in the pick menu.
You should see the keypoint disappear in the Graphics window. You can al=
so check that the keypoint has been deleted using Utility Menu >=
List > Keypoints. You can then re-create the keypoint.
Save your work
Once you have successfully created the keypoints, save your work using=
p>
Toolbar > SAVE_DB
This is a short-cut for
Utility Menu > File > Save as Jobname. db
Create Lines from Ke=
ypoints
Main Menu > Preprocessor > Modeling > Create > Lines=
> Lines >In Active Coord
This will bring up the Lines in Active Coord pick menu.
To create the line between keypoints 1 and 3, click on keypoint 1 and th=
en keypoint 3. Similarly, create lines between keypoints 1 & 2 and keyp=
oints 2 & 3.
Higher Resolution =
Image
Close the Lines in Active Coord pick menu by clicking on Cancel.=
p>
Close the Lines and Create menus.
Check Lines
Take a look at the list of lines that have been created:
Utility Menu > List > Lines
Click OK to accept the default output format.
The first four columns in the list should be:
The order of the keypoints for a line doesn't matter i.e. line l1 could go from keypoint k1 to k2 or equivalently, k=
2 to k1.
Close the window listing lines.
Modifying Lines (=
If Necessary)
If a line doesn't look right, you can delete and re-create it. To delete=
a line:
Main Menu > Preprocessor > Modeling > Delete > Lines=
Only
This brings up the pick menu.
Click on the line you want to delete in the Graphics window. Click OK. This=
deletes the line.
Save your work
Once you have successfully created the lines, click on Toolbar &=
gt; SAVE_DB to save the database.
Go =
to Step 5: Mesh geometry
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earning Modules
Step 5: Mesh geometry
Each truss member can be represented as a 2D Spar element. We'll use the=
MeshTool to mesh the geometry with this element.
To bring up the MeshTool, select
Main Menu > Preprocessor > Meshing > MeshTool<=
/p>
The MeshTool is used to control and generate the mesh.
Set Meshing Parameters=
h4>
We'll now specify the element type, real constant set and material prope=
rty set to be used in the meshing. Since we have only one of each, we can a=
ssign them to the entire geometry using the Global option under Element Attributes.
Make sure Global=
is selected under <=
strong>Element Attributes and click on Set.
This brings up the Meshing Attributes menu. You will see that t=
he correct element type, material number and real constant set are already =
selected since we have only one of each.
Click OK. ANSYS now knows what element type (and associated constants) and =
material type to use for the mesh.
Set Mesh Size
Since a LINK1 element is equivalent to a truss member, we will =
specify that we want only one element per line. This is a subtle point and =
also very unusual; in most problems, you want to subdivide your part into m=
any elements.
In the MeshTool, under <=
strong>Size Controls and Lines , click Set.
In the pick menu that comes up, click Pick All (since we want the specifica=
tion of mesh size to apply to all lines in the geometry). This brings up th=
e Element Sizes on Picked Lines menu. Specify No. of element divisions to be 1
. Click OK. ANSYS will now use 1 element to mesh each li=
ne.
Mesh Lines
In the MeshTool, make sure Lines is selected in the drop-down list=
next to Mesh. This means the geometry components to be meshed are lines (as o=
pposed to areas or volumes, as we'll see later). Click on the Mesh button.=
p>
This brings up the pick menu. Since we want to mesh all lines, click on =
Pick All=
span>. The lines have been meshed. This is reported in the Output Windo=
w (usually hiding behind the Graphics Window):
NUMBER OF LINES MESHED =3D 3
MAXIMUM NODE NUMBER =3D 3
MAXIMUM ELEMENT NUMBER =3D 3
Close the MeshTool.
View Element List
Utility Menu > List > Elements > Nodes + Attributes
This table says that Element 1 is of material type 1 a=
nd element type 1 and is attached to nodes 1 and 2 and so on. In t=
his element list, the order of the two nodes for each element doesn't matte=
r. For example, element 3 can be attached to nodes 2 and 3 or equivalently,=
nodes 3 and 2. Also, the order of element numbering is not important since=
it is for internal bookkeeping.
Close the window listing the elements.
View Node Location
In order to see where the nodes are located, you can look at the list of=
nodes.
Utility Menu > List > Nodes
In Sort NODE Listing menu, click OK to accept defaults.
My list of nodes looks like this:
From the node and element lists, one can conclude that in this case:
Node 1 is pin A
Node 2 is pin C
Node 3 is pin B
Element 1 is member AC
Element 2 is member AB
Element 3 is member BC
Your own node and element numbering might be different from this and you=
would have to account for this while interpreting results in the postproce=
ssing step.
Close the window listing the nodes.
Save your work
Toolbar > SAVE_DB
Go =
to Step 6: Specify boundary conditions
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earning Modules
Step 6: Speci=
fy boundary conditions
Next, we step up to the plate to define the boundary conditions, namely,=
the displacement constraints and loads. Note that in ANSYS terminology, th=
e displacement constraints are also "loads". We can apply the loads either =
to the geometry model or to the finite-element model (that is to the elemen=
ts and nodes directly). The advantage of the former is that one doesn't hav=
e to re-specify the constraints on changing the mesh. So we'll apply the co=
nstraints to the geometry i.e. to the keypoints.
You can see from the diagram that the pin at A is constrained in x and y=
directions; or equivalently, keypoint 1 is constrained such that its U=
X and UY displacements are zero. Similarly, keypoint 3 is con=
strained such that its UX displacement is zero.
Apply Displaceme=
nt Constraints
Main Menu > Preprocessor > Loads > Define Loads > Ap=
ply > Structural > Displacement > On Keypoints
This brings up the Apply U, ROT on KPs pick menu.
In the Graphics window, click on keypoint 1;
This will draw a small square around keypoint 1 to indicate that it's been=
picked.
In the pick menu, click <=
em>Apply. The following menu shows up.
Since we want to constrain UX as well as UY to zero at keypoint 1, select both=
UX=
and UY from items in DOFs =
to be constrained list. Since the Displacement value is z=
ero by default, leave that field empty. Click on Apply.
You will see triangle symbols appear in the Graphics window indicating t=
hat both UX and UY DOFs are constrained at keypoint 1.
Next we apply the displacement constraint at keypoint 3. In the Grap=
hics window, click on keypoint 3. In the pick menu, click Apply. Select =
only UX from items in DOFs =
to be constrained list. Click OK.
You will see a triangle symbol appear indicating that only the UX DOF is constrained at keypoint 3.
Close the Displacement and Apply menus.
List Displacement=
Constraints
You can verify the displacement constraints on the model by listing them=
.
Utility Menu > List > Loads > DOF constraints > On A=
ll Keypoints
This brings up a window with the constraint information.
If you made a mistake in applying a constraint, you can delete and reapp=
ly it. You can delete a constraint using
Main Menu > Preprocessor > Loads > Define Loads >Del=
ete > Structural > Displacement > On Keypoints
Alternately, you can resume from your last save and continue from there.=
Close the window listing the constraint information.
Save the database: Toolbar > SAVE_DB
Apply Loading
We have only one load to apply on the structure, namely, the 2800 N forc=
e in the negative y-direction at keypoint 2 (see figure 1).
Main Menu > Preprocessor > Loads > Define Loads > Ap=
ply > Structural >Force/Moment > On Keypoints
This brings up the Apply F/M on KPs pick menu.
In the Graphics window, click on keypoint 2; then in the pick m=
enu, click OK.
In the menu that appears, select =
FY for Direction of force/mom.
Enter -2800
for Force/ moment value. Click OK.
The negative sign for the force indicates that it is in the negative y-d=
irection. You'll see a vector indicating the applied force in the Graph=
ics window.
Close the Force/ Moment, Apply, Loads and Preprocessor=
menus.
Save the database: Toolbar > SAVE_DB
Go =
to Step 7: Solve!
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Step 7: Solve!
Enter Solution Module
Main Menu > Solution > Solve > Current LS
This solves the current load step (LS) i. e. the current loading conditi=
ons. In our problem, there is only one load step; ANSYS allows for multiple=
load steps that can be solved sequentially without leaving the Solutio=
n module.
Review the Problem
Review the information in the /STAT Command window. This is a s=
ummary of the problem that ANSYS is about to solve.
Close this window.
Click OK in Solve Current Load Step menu.
ANSYS performs the solution and a window should pop up saying "Solution =
is done!". Congratulations! You just obtained your first ANSYS solution.
Close=
span> the window.
In preparation for the postprocessing step to be undertaken next, exit t=
he solution module by closing the Solution menu.
Verify that ANSYS has created a file called truss.rst in your w=
orking directory. This file contains the results of the (previous) solv=
e. The rst extension in the filename stands for results from a structural analysis. The truss.db f=
ile contains only steps 1-6. To resume your work subsequent to exiting ANSY=
S, you'll have to first resume from the jobname.db file and then r=
ead in the results from the jobname.rst file using
Main Menu > General Postproc > Read Results > First Set=
This is one of the many ANSYS quirks you'll encounter as you work with t=
he program.
Go =
to Step 8: Postprocess the results
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Step 8: Postproce=
ss the results
Postprocessing is the step where we look at and analyze the results obta=
ined from the ANSYS solution.
Enter the General Postprocessing module:
Main Menu > General Postproc
Main Menu > General Postproc > Plot Results > Deformed =
Shape
Select Def + undeform=
ed and click OK.
This plots the deformed and undeformed shapes in the Graphics w=
indow.
The deformed shape is shown as a solid line and the undeformed shape as =
a dotted line. The maximum displacement DMX is 0.583E-05m as repor=
ted in the Graphics window. This is small but plausible. Note that=
the deformation is magnified in the plot so as to be easily visible.
To save the deformation plot in a file, use Utility Menu > Pl=
otCtrls > Hard Copy > To File. Select the file format you wa=
nt and type in a filename of your choice under Save to: and click OK. The file w=
ill be created in your working directory. You can print out this file as ne=
cessary.
Animate the deformation:
Utility Menu > PlotCtrls > Animate > Deformed Shape
Select Def + undeform=
ed and click OK. Select Forward Only in the Animation Co=
ntroller.
Node 1 (Pin A) doesn't move and node 2 (Pin C) moves only in the vertica=
l direction. Node 3 (Pin B) moves more or less in the direction of the appl=
ied force. The deformation of the structure agrees with the applied boundar=
y conditions and matches with what one would expect from intuition. Stop th=
e animation and close the animation control window.
Turn On Node and =
Element Numbers
In order to interpret the results that ANSYS reports, it's useful to tur=
n on the node and element numbers in the Graphics window.
Utility Menu > PlotCtrls > Numbering
The Plot Numbering Controls menu is used to control the numberi=
ng of the various entities in a finite-element model.
Turn on Node numbers<=
/em>. Under =
Elem/Attrib numbering, select Element numbers. Click =
OK.=
The node and element numbers will now appear in the Graphics wi=
ndow.
List Forces in Truss=
Members
Bring up the help page for LINK1 element:
Utility Menu > Help > Help Topics
Under the Contents tab, select
Release 11.0 Documentation for ANSYS > Elements Reference >=
; Element Library > LINK1
In the LINK1 help page, scroll down to Table 1.1: LINK1 Ele=
ment Output Definitions. This table lists all the output items you can=
get for the LINK1 element. Let's scour this table for the element output t=
hat corresponds to the force in a truss member. We see the following item i=
n the table that looks like a promising candidate:
MFORX: Member force in the element coordinate system X direction
The figure at the top of the LINK1 help page, reproduced below,=
shows that the x-direction in the element coordinate system is al=
ong the element.
Thus, MFORX is basically the axial force in the element.
So how do we get the MFORX values for our three elements from A=
NSYS? ANSYS has a quirky way of doing this as we shall see. If you scroll d=
own the help page further, you'll see Table 1.2 LINK1 Item and Se=
quence Numbers with the following entry for MFORX:
MFORX SMISC 1
The output data for any element type is broken down into item groups wit=
h SMISC being one of the groups (SMISC stands for "Summab=
le Miscellaneous" items). Each item within a group such as SMISC h=
as an identifying "sequence" number. So, as per the above entry in Table 1.=
2, MFORX is an item in the SMISC group with a sequence nu=
mber 1. In effect, it's entry #1 in the SMISC group for the LINK1 element.<=
/p>
Minimize the help window. To list MFORX values, select:
Main Menu > General Postproc > List Results > Element S=
olution
Under Element Solutio=
n, select Miscellaneous Items > Summable data (SMISC,1). Since MFORX is sequence number 1 in the SMISC group, e=
nter 1 next to Sequence =
number SMIS in the =
editable field. Click OK. Click OK in the List Element Solution<=
/em> window.
This brings up a window with the axial forces in the elements. Positive =
values indicate tension and negative values compression.
You can also plot the items listed under Element Output Def=
initions using the sequence number.
In most cases, you plot stresses using Main menu > General Po=
stproc > Plot Results > Contour Plot >Nodal Solu. But for=
line elements like LINK1, this doesn't work and you'll get zero v=
alues for the stresses. So you'll have to use the sequence numbers to make =
stress plots for line elements.
List Reaction Force=
s at Nodes
Main Menu > General Postproc > List Results > Reaction =
Solu
Select All struc forc=
F for Item to be listed and click OK.
This brings up a window with the reaction forces at the nodes.
The sum of the reaction forces balances the applied load as should be th=
e case for static equilibrium.
Close the PRRSOL Command window.
Go =
to Step 9: Validate the results
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Step 9: Validate the=
results
Do not assume that if you are able to obtain a solution from ANSYS, it i=
s bound to be correct. It is very important that =
you take the time to check the validity of your solution. This section lead=
s you through some of the steps you can take to validate your solution.
Simple Checks
- Does the deformed shape look reasonable and agree with the applied boun=
dary conditions? We checked this in step 8.
- Do the reactions at the supports balance the applied forces for static =
equilibrium? We checked this also in step 8.
Refine Mesh
The results obtained from FEA analysis depend on the mesh. An important =
step in the analysis is to make sure that the mesh resolution is adequate f=
or the desired level of accuracy. This is done by refining the mesh and com=
paring results obtained with different levels of mesh resolution.
In our truss example, however, a truss member has to be modeled as a single LINK1 element. If we use multiple LINK1 elements to model a single truss member, these elements can ro=
tate freely with respect to each other since they are essentially linked th=
rough pin joints. This violates physical reality and is one of the few case=
s where we'll avoid refining the mesh since it leads to an incorrect result=
.
Compare with Theory
Results should be compared with appropriate theoretical results whenever=
possible. In most cases, one would use theory to obtain order-of-magnitude=
estimates rather than to make a head-to-head comparison since presumably F=
EA is being used because a theoretical solution is not available. In this c=
ase, however, one can easily determine the forces in the truss members usin=
g the method of joints from statics. I'd recommend that you take a few minu=
tes during commercials on your favorite TV show to calculate the forces and=
compare them with your ANSYS results.
Exit ANSYS
Utility Menu > File > Exit
Select Save Everythin=
g and click OK.
This is just a quick introduction to ANSYS to give you a flavor of what =
a full-fledged engineering package looks like. If it felt unfriendly or cum=
bersome, you are not alone; I went through this myself (otherwise, congratu=
lations! you are a genius). It takes some getting used to. Believe it or no=
t, it gets a lot easier to use with time. You have a lot of years ahead of =
you to gain the experience necessary to harness the power of finite-element=
analysis. All the ANSYS features including the underlying theory are docum=
ented online and can be accessed using Utility Menu > Help. There are tutorials available in the documentation which are also usef=
ul.
Go to Problem Set 1
See and rate th=
e complete Learning Module
Go to all ANSYS L=
earning Modules
Problem Set 1
Consider the case where the displacement constraints at A and C are inte=
rchanged i.e.
- at A, only UX is set to zero
- at C, both UX and UY are set to zero
1. How would you expect the reaction forces at the supports A and C to c=
hange?
2. What can you say about how the x-component of the forces in the truss=
will change?
Re-solve the truss problem with the modified constraints. Fom your ANSYS=
solution:
1. List the reactions. Note that you can save the reaction listing as foll=
ows: in the window that comes up with the listing of the reaction forces, c=
lick on:
File > Save As
2. Determine the force in each truss member and whether the member is in=
tension or compression.
Tips: Start from your ANSYS solution to the truss tutorial problem but u=
se a different job name as follows:
- Start the ANSYS Product Launcher. Specify the same directory as for the=
tutorial but use a different jobname. Once ANSYS comes up, select=
: Utility Menu > File > Resume from. Choose trus=
s.db and click OK.
Note that you can delete constraints using:
Main Menu > Preprocessor > Loads > Define Loads > De=
lete
It works similar to how you apply loads.
You can plot the displacement constraints in the Graphics window as foll=
ows:
Utility Menu > Pltctrls > Symbols
Select All Applied BC=
s for <=
em>Boundary condition symbol. Click OK.
You might have to use :
Utility Menu > Plot > Replot
or
Utility Menu > Plot > Multi-plots
for the constraint symbols to appear in your plot.
Go to Problem Set=
2
See and rate th=
e complete Learning Module
Go to all ANSYS L=
earning Modules
Problem Set 2
Determine the force in each member of the following truss using ANSYS. I=
ndicate if the member is in tension or compression. Use the same LINK1 elem=
ent as in the tutorial. The cross-sectional area of each member is 0.02 m2, Young's modulus is 200x109 N/m2 and Poiss=
on's ratio is 0.3. Verify your results by calculating the forces manually.<=
/p>
Results
Determine the following:
1. Listing of the reactions from the ANSYS solution.
2. Listing of the element forces from the ANSYS solution. Calculate and =
determine the forces in each member and whether the member is in tension or=
compression from this ANSYS result.
3. Using your pencil-and-paper calculations verifying the ANSYS results =
for the member and reaction forces.
See and rate th=
e complete Learning Module
Go to all ANSYS L=
earning Modules
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