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Cantilever Beam - Panel
Cantilever Beam - Panel
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Pre-

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Pre-Analysis

We'll start by carrying out hand calculations to predict the expected maximum bending stress and deformation. We'll later compare the ANSYS values to these hand-calculation results.

Calculate the Maximum Bending Stress at x=0m

The maximum bending stress is calculated using Euler-Bernoulli beam theory.
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Calculate the Total Deformation at x=4m

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https://confluence.cornell.edu/download/attachments/125812740/def_eqn_full.png

Analysis 
 

Handout

Powerpoint slides used in the following videos can be downloaded here

What's Under the ANSYS Blackbox?

To understand the framework of what's under the ANSYS blackbox, go through the videos in the “What’s Under the Blackbox” section of our free online course on ANSYS-based simulations. Registration is required to access this course. We'll be using this framework in this tutorial. 

Mathematical Model

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<iframe width="560" height="315" src="https://www.youtube.com/embed/Aa76qYImVs4" frameborder="0" allowfullscreen></iframe>

Euler-Bernoulli Beam Theory

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<iframe width="560" height="315" src="https://www.youtube.com/embed/eC1zYa2e0AY" frameborder="0" allowfullscreen></iframe>

Strains and Stresses

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<iframe width="560" height="315" src="https://www.youtube.com/embed/UKiiMJaOrNE" frameborder="0" allowfullscreen></iframe>

Potential Energy

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<iframe width="560" height="315" src="https://www.youtube.com/embed/AYRlTxAS-rc" frameborder="0" allowfullscreen></iframe>

Potential Energy Minimization

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<iframe width="560" height="315" src="https://www.youtube.com/embed/l8nwmlwlDMs" frameborder="0" allowfullscreen></iframe>

Discretization

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<iframe width="560" height="315" src="https://www.youtube.com/embed/Qo5H1XO_usU" frameborder="0" allowfullscreen></iframe>

 

Interpolation

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<iframe width="560" height="315" src="https://www.youtube.com/embed/LnmIbYw3aC0" frameborder="0" allowfullscreen></iframe>

 

Algebraic Equations Derivation

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<iframe width="560" height="315" src="https://www.youtube.com/embed/bEZIQv51ccQ" frameborder="0" allowfullscreen></iframe>

Hand Calculations

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<iframe width="560" height="315" src="https://www.youtube.com/embed/1p3KrBhuLCw" frameborder="0" allowfullscreen></iframe>

Check Your Understanding

One or more of the following statements is/are true. Select which statements are true.

  • 3D Elasticity theory makes the assumption that plane sections remain plane whereas the Euler-Bernoulli beam theory doesn’t make this assumption.
  •  In Euler-Bernoulli beam theory, the Poisson's ratio is assumed to be zero.
  • If we have 4 nodes instead of 3, ANSYS will need to determine 8 parameters (4 y-displacements and 4 rotations) either from the essential boundary conditions or by solving a set of algebraic equations. 
  • If we have 4 nodes instead of 3, the number of algebraic equations that ANSYS will need to solve simultaneously will be 5.
  • We have to determine the y-displacement of the midline at locations between the nodes using interpolation. This interpolation is given by a second-order polynomial.

 

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Start-Up

Optimizing Monitor Real Estate

This tutorial is specially configured, so the user can have both the tutorial and ANSYS open at the same time as shown below. It will be beneficial to have both ANSYS and your internet browser displayed on your monitor. Your internet browser should consume approximately one third of the screen width while ANSYS should take the other two thirds.
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Open ANSYS Workbench

Click on the Start button, then click on All Programs. Depending on where you are attempting to access ANSYS, it may be under ANSYS 13.0, ANSYS, or Class. Once you locate ANSYS click on the the workbench button, Image Removed. It may take some time for ANSYS to open. Once ANSYS opens your computer monitor should look comparable to the image below.
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Static Structural Analysis System

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Engineering Data

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At this point the project can be returned to. Click on the Return to Project button, Image Removed at the top.

Saving

It would be of best interest, to save the project at this point. Click on the "Save As.." button, Image Removed, which is located on the top of the Workbench window. Save the project as "Cantilever" in a suitable folder. When you save in ANSYS a file and a folder will be created. For instance if you save as "Cantilever", a "cantilever.wbpj" file and a folder called "cantilever_files" will appear. In order to reopen the ANSYS files in the future you will need both the ".wbpj" file and the folder. If you do not have BOTH, you will not be able to access your project.


Go to Step 2: Geometry

Go to all ANSYS Learning Modules