It establishes the theoretical point of maximum moment in the pile due to cantilever beam action, as with a soldier pile with no tiebacks.
From this moment, the size of the pile, also considering maximum allowable deflection, can be determined. A pile that resists lateral load is merely a pole footing, and subject, for the post part, to the equations to design the embedment depth - also subject to the design recommendations of the Geotech.
For only axially loaded pile, the point of fixity is not so much a concern, but definitely is for any pile that resists any lateral load.
Mike McCann
McCann Engineering