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WS10b-1
WORKSHOP 10b
RECTANGULAR PLATESMALL CONCENTRIC CIRCLE LOAD
CAT509, Workshop 10b, March 2002
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WS10b-2CAT509, Workshop 10b, March 2002
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WS10b-3CAT509, Workshop 10b, March 2002
WORKSHOP 10b RECTANGULAR PLATE
Material: Aluminum
Young Modulus = 29e6 psi
Poisson Ratio = .3Density = .283 lb_in3
Yield Strength = 36000 psi
Design requirements:
Thickness, t = 0.1 inch
Radius of contact, ro = 0.1 inch
Vertical Load, W = 500 lbs
Problem Description All edges are simply supported.
Uniform load over small concentric circle applied at the center.
500 lbs
.1 inch radius
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WS10b-4CAT509, Workshop 10b, March 2002
WORKSHOP 10b RECTANGULAR PLATE
Hand calculations
Maximum Bending Stress:
Maximum Vertical Deflection:
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WS10b-5CAT509, Workshop 10b, March 2002
Suggested Exercise Steps
1. Create a new CATIA analysis document (.CATAnalysis).
2. Mesh globally with parabolic elements.
3. Apply an advanced and isostatic restraint (simply supported).
4. Apply a force.
5. Compute the initial analysis.
6. Check global and local precision (animate deformation, adaptive
boxes and extremas).
7. Refine the mesh locally with an adaptivity box.
8. Visualize final results.
9. Save the analysis document.
WORKSHOP 10b RECTANGULAR PLATE
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WS10b-6CAT509, Workshop 10b, March 2002
Step 1. Create a new CATIA analysis document
Steps:
1. Open the existing
ws10bRectPlate
.CATPart from the
training directory.
2.Apply steel material
properties to the part as
required.
3. Launch theGenerative Structural
Analysis workbench for
a Static Analysis.
4. Specify the
Computations and
Results storage
locations as shown.
3
4
2
1
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Step 2. Mesh globally with parabolic elements
Steps:
1. Globally mesh as
shown.
As plates typically are
large using one mesh
element through the
thickness is a good
way to start. Then use
localized adaptive
meshing for precise
results.
1
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Step 3. Apply an advanced and isostatic restraint
Steps:
1. Select the
Advanced Restraint
icon, restrain the 4
bottom edges.
2. Select isostatic
restraint icon, select
OK.
1
2
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Step 4. Apply a force
1
3
Trick of the trade :
Special construction
techniques are
necessary to enable
you to apply a force to
patterns that do notexist on parts.
Steps:
1. Make your .CATPart
current and Launch the
Generative Shape
Design workbench.
2. Sketch a 0.2 inchdiameter circle
centered on top of the
plate.
3. Fill this sketch with a
surface.
Continue on.
2
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Step 4. Apply a force
2
1
3
Make a solid thickness
based on the surface.
Steps:
1. Go to the Part
Design Workbench.
2. Create a thick
feature 1/2 the plate
thickness into the part
and a fraction out of the
part (0.0001 inch).
3. Put the Sketch and
the Fill features in no-
show then go back tothe analysis
workbench.
This method will not
effect stress levels and
will work on any shape.
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Step 4. Apply a force
Now we have a 0.2
inch diameter circular
pattern in a location of
our choice that is
selectable.Steps:
1. Select the Force
icon and the center
selectable area. Use
force magnitude
values as shown.
1
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Step 5. Compute the initial analysis
Save first.
Steps:
1. Compute All
1
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Check Deformation,
and global precision.
Steps:
1. Create a
deformed image and
animate to verify
your system deflects
as expected.
You should expecteven deformation
and the sides pulling
in representing
simply supported.
2. Check Global
precision (looks
good).
Step 6. Check global and local precision
1a
1b
2a
2b
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Step 6. Check global and local precision
1
Find the global
element with thehighest estimated
error.
Find local precision.
Steps:
1. Use the Search
Image Extrema icon.
2. Local precision isfound using the
adaptivity box icon.
Local error looks OK
but I might prefer 5%.
2
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Step 7. Refine the mesh locally
Refine the mesh to
achieve 5% precision
inside the adaptivity
box.
Steps:
1. Locate and size the
adaptivity box where
you want refinement,
as shown. Use a goal
of 3% error.
2. Use only one
convergence.
1
1
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Step 8. Visualize final results
Steps:
1. Check local
precision again.
2.Activate thedeformation image to
see the local mesh
refinement.
We now have a
precise model.
1
2
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Step 8. Visualize final results
Visualize Von Mises
stress field patterns.
S 8 Vi li fi l l
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Step 8. Visualize final results
Principal Stresses
Hand calculations =
80,317 psi
St 8 Vi li fi l lt
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Step 8. Visualize final results
Vertical displacement
Hand calculations =
0.003 inches
St 8 Vi li fi l lt
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Step 8. Visualize final results
Hand Calculations .125 inch Parabolic Global Mesh, .013 inch sag
.06 inch Local Mesh, .006 inch sag
Global % Precision error
Local % Precision error
NA
NA
5.7 %
3.8 %
Error Estimate NA 4.93e-9 Btu global
Translational Displacement -0.003 inch -0.00328inch
Max Von Mises Stress 80317 psi 78900 psi
Conclusions CATIA V5 GSA workbench is validated for a rectangular
flat plate with a uniform load over a small concentriccircle scenario.
St 9 S th l i d t
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WS10b-21CAT509, Workshop 10b, March 2002
Step 9. Save the analysis document
Save your documents
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WS10b 22CAT509 W k h 10b M h 2002
WORKSHOP 10
FOUR EDGES FIXED,TWO EDGES SIMPLY SUPPORTED - TWO EDGE FREE
THREE EDGES FIXEDTWO EDGES FIXED
CAT509 W k h 10b M h 2002