The material properties for the vessel are elastic modulus E = 200 GPa (2 x 101 N per m2), Poisson's ratio = 0.3, Yield strength = 330 MPa (330 x 106 N per m ). Axisymmetric Problems 3-3 units with E = 2 x 10' N per mm- and Yield strength = 330 N per m An internal pressure of 35 N per mm- will be used.
Step 2: Define Element Type
In the Main Menu select Preprocessor > Element Type > Add/Edit/Delete
Click on Add in the dialog box that appears:
Select Solid in the left hand menu and Quad 8 node 183 in the right hand menu and then click OK
This defines element type 1 as a 2D quadratic 8-node quadrilateral element (i.e. a rectangle with curved edges)
In the element type options dialog box that appears, make sure that the Element behavior is set to 'Axisymmetric' as shown in the figure below:
Step 3: Define the Material Model
In the Main Menu click on Preprocessor > Material Props > Material Models, the Define Material Model Behaviour dialog box will now appear.
Expand the options in the right hand pane of the dialog box: Structural > Linear > Isotropic
In the dialog box that pops up, enter suitable material parameters for steel ( E = 207 x 109 Pa, Poissons ratio = 0.27):
Click on Ok to close the dialog box in which you entered the material parameters.
Close the Define Material Model Behaviour dialog box by clicking on the X in the upper right corner.
Step 5: Create the Model Geometry
Enter the values shown below to create the bottom rectangle of the pressure vessel:
Repeat the above process and enter these values to create the side wall of the pressure vessel:
Finally, repeat the process again to create the top rectangle of the pressure vessel:
Now we must add the three areas together to form one area that defines the pressure vessel geometry. Main Menu > Modelling > Operate > Booleans > Add > Areas
Step 6: Mesh the Geometry
This will open the Mesh Tool window.
Use your mouse to click on the plate geometry. Once you have clicked on it, the Element Size at Picked Areas dialog box will appear. Enter 0.002 m for the Element Edge Length to define the size of each element, as shown below:
Click on OK to close the dialog box.
Your model should now look like this:
Step 7: Apply the Boundary Conditions
Although the solver already knows that we are performing an axisymmetric analysis due to an axisymmetric element being used, we still need to place a symmetry constraint on the edges of the model that touch the Y-axis.
Preprocessor > Loads > Define Loads > Apply > Structural > Displacement > Symmetry B.C. > On Lines pick the lines on the axis of symmetry (i.e. the two vertical lines on the left hand edge of the model) then click OK in the picker dialog box.
You should notice small 'S' symbols appear near the lines to indicate that a symmetry boundary condition has been applied.
Preprocessor > Loads > Define Loads > Apply > Structural > Displacement > On Nodes
In the dialog box that appears make sure the DOFs to be constrained is set to UY only and then click on OK.
You will probably get a warning saying that 'Both solid model and finite element boundary conditions have been applied to this model. As solid loads are transferred to the nodes or elements, they can overwrite directly applied loads'. This is OK just click on Close to dismiss this dialog.

Step 8: Apply the Internal Pressure Load
Click on all the lines representing the internal wall of the pressure vessel and then click on OK in the picker dialog box.
Click on OK to close the dialog box.
Step 9: Solve the Problem
In the Main Menu select Solution > Analysis Type > New Analysis
Make sure that Static is selected in the dialog box that pops up and then click on OK to dismiss the dialog.
Select Solution > Solve > Current LS to solve the problem
A new window and a dialog box will pop up. Take a quick look at the infromation in the window ( /STATUS Command) before closing it.
Click on OK in the dialog box to solve the problem.
Once the problem has been solved you will get a message to say that the solution is done, close this window when you are ready.
Step 10: Examine the Results
In the Main Menu select General Postproc > Plot Results > Deformed Shape
Your screen should look something like this:
Now let's examine the principal stresses: General Postproc > Plot Results > Contour Plot > Nodal Solu > Stress > 1st Principal Stress, click on OK to display the plot, which should look like this:
Now, only the selected elements will be displayed in any stress contour plots and the rest of the model will be ignored.
Notice that the maximum value is 56,680 Pa which is reasonably close to our predicted value of 55,455 Pa
Notice that the axial stress varies between 22,158 Pa and 23,340 Pa - which is, again, reasonably close to our predicted value of 22,727 Pa.
In this case the maximum radial stress is -9,993 Pa which is very close to our predicted value of 10,000 Pa.
When you are finished looking at the results for this subset of elements, you can re-select the entire model by issuing the command: Utility Menu > Select > Everything. Now if you replot a stress contour you will see the entire model again.


This tutorial has given you the following skills:
Log Files / Input Files
Click here for the log file
The log file for this tutorial may also be used as an input file to automatically run the analysis in ANSYS. In order to use this file as an input file save it to your working directory and then select Utility Menu > File > Read input from... and select the file. You should notice ANSYS automatically building the finite element model and issuing all the commands detailed above.
Quitting ANSYS
To quit ANSYS select Utility Menu > File > Exit.... In the dialog box that appears click on Save Everything (assuming that you want to) and then click on Ok