The figure shows the free body diagram around the flange at B. The free body diagram cuts across the rod above and the post below. The axial forces on the rod and the post are F subscript 1 directed vertically upwards and F subscript 2 directed vertically downwards respectively.

Write an equilibrium equation for the sum of the forces in the vertical direction.

Fy=F1-F2=0

There are two unknowns (i.e., F1 and F2) in this equation. Two unknowns cannot be determined from a single equation. Consequently, equilibrium alone does not provide enough information to solve this problem. Problems like this are called statically indeterminate.

A second equation in terms of F1 and F2 is required. To develop such an equation, the deformations that occur in this structure will be considered.