Geometry of Deformation Equation  
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The figure shows the free body diagram around the flange. A gap exists between the flange and the post. The free body diagram cuts across the post labeled 1 and the rod labeled 2. The force on the post is F subscript 1 directed horizontally to the left and the force on the rod is F subscript 2 directed horizontally to the right.

Step 2. Geometry of deformation equation

Drag the proper geometry of deformation equation here.

Next

Drag the proper geometry of deformation equation here.

This equation does not correctly relate the deformation that occurs in members (1) and (2). Hint: The 0.0625-in. gap appears in the correct geometry of deformation equation.
This equation states that the deformation in member (2) plus an additional 0.0625 in. equals the deformation in member (1). This is clearly too much deformation.
Correct. The deformations that occur in members (1) and (2) add up to a total of 0.0625 in.
This equation states that the deformation in member (2) plus an additional 0.0625 in. equals the deformation in member (1). This is clearly too much deformation.
This equation does not correctly relate the deformation that occurs in members (1) and (2). Hint: The 0.0625-in. gap appears in the correct geometry of deformation equation.