MTNClimber - I'm looking at factors that could influence point bearing in dense sand:
Cross sectional area of an HP is really small, say, 15.5 in
2 (0.108 ft
2) for an HP 12x53.
Not only is the area small, the geometry of the pile tip makes it a poor "footing"... for HP 12x53, essentially 36" x 0.435" ≈ 15.5 in
2.
In dense sand, a properly driven HP is going to have a lot of surface area to develop skin friction. Relatively little load is going to even reach the pile tip. Section 3 of the Bethlehem book talks about how even end-bearing HP driven to rock fail before the tip is fully loaded (unintended skin friction at work).
As a bridge contractor, we would extract temporary HP when finished. To do this (in dense sand), the best way was to drive the the pile a few inches deeper to break skin friction. Then pulling the pile was easier (but not always a piece-of-cake). To me, this just confirms that (in dense sand) point bearing, while probably not zero, is minimal compared to skin friction.
In total, I consider the pile tip bearing of an HP in dense sand to be just "noise".
This is based only on my experience. I will defer to those who do include pile tip resistance since:
Design of piling is better defined now than it was when I was in the business.
Since I never worked for an engineering firm, never had a client who pushed for every ounce of pile capacity. For our in-house work at generating stations, other factors were more important than first cost.