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First, we need to know if the expansion of the bar is greater than the free space between the bar and the wall, x = 0.002 meters. Below is are the equation and the calculated result used for the expansion of the bar.

δT=αLT=(1.2E-5°C-1)(5m)(100° C)=0.006m >0.002mImage Added

Now that we know that the deformation due to the change in temperature will be greater than the space between the bar and the wall, we know that there will be a stress on the bar. If the wall was not there, the bar would fully deform to the calculated value above. Since the wall does stop the deformation process, the following equation can be used.

δT=x+δσImage Added

Where Tis the strain contribution from the change in temperature and is the strain contribution from the force imparted by the wall on the bar. This equation can be combined with the first one to make the following.

αLT=x+PL/EAImage Added

Substituting xx=PA Image Added, we get the solvable equation

αLT=x+σxx/LEImage Added

Solving for , we find that

σxx=αET-xE/LImage Added

After substituting, we find

σxx=(1.2E-5°C-1)(2E11 Pa)(100° C)-(0.002m)(2E11 Pa)(5m)=160 MPaImage Added

A few words on the formatting on the following instructions:

1. Notes that require you to perform an action are colored in blue

2. General information will be is colored in black, but do does not require any action

3. Words that are bolded are labels for items found in ANSYS AIM

4. Most important notes will be are colored in red

Start-Up

Now that we have the pre-calculations, we are ready begin simulating in ANSYS AIM. Open ANSYS AIM by going to Start > All Apps > ANSYS 18.1 > ANSYS AIM 18.1. Once you are at the starting page of AIM select the Thermal template in the top right corner as shown below.

You will be prompted by the Thermal Template template to either Define new geometry, Import geometry file, or Connect to active CAD session. Select define Define new geometry and press Next. For this problem, we will be using a the Steady/static calculation type and adding structural Structural as an additional physic, select . Select them in the menu and press Finish. The Model Editor will launch automatically.

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