Page History

...

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 are the equation and the calculated result used for the expansion of the bar.

Image Modified

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.

Image Modified

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.

Image Modified

Substituting , we get the solvable equation

Image Modified

Solving for , we find that

Image Modified

After substituting, we find

Image Modified

A few words on the formatting on the following instructions:

...