Solve the Problem  
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The figure shows a 6 inches long horizontal post labeled 1 on the left fixed to a rigid support on the left at A. A cylindrical rod B C of length 18 inches and labeled 2 is fixed to a rigid support on the right at C. A flange is shown at B. The gap between the post and the flange is one sixteenth of an inch.

We've determined the equilibrium equation:

and the compatibility equation:

These two equations can be solved simultaneously. From the equilibrium equation, note that:

Substituting for F2 in the compatibility equation gives: