Plan the Solution  
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The figure shows the front view and the cross section view of a brass link which is labeled 1. A steel rod labeled 2 is shown below. The inside length of the brass link is 250 millimeters. The width and the thickness of the brass link are 20 millimeters and 10 millimeters respectively. A 30 millimeters diameter steel rod is shown below. The length of the steel rod is 0.2 millimeters longer than the inside length of the brass link.

A five-step process will be used to solve this problem:

Step 1. Equilibrium equation
Draw a free-body diagram (FBD) of the link-and-rod assembly after the rod has been inserted in the link. Then, write the equilibrium equation.

Step 2. Geometry of deformation equation
Determine the relationship between the deformations in link (1) and rod (2).

Step 3. Force-temperature-deformation relationships
Write the generic force-temperature-deformation relationships for link (1) and rod (2).

Step 4. Compatibility equation
Substitute the force-temperature-deformation relationships into the geometry of deformation equation.

Step 5. Solve equations simultaneously
Solve the equilibrium and compatibility equations simultaneously for the unknown forces F1 (in the link) and F2 (in the rod).