A distinction shall be made between a pier-type pile, with a long unsupported length and a wharf-landside-type pile with a short unsupported length between the deck and soil. The effective length, L, is the distance between the pinned deck/pile connection and in-ground fixity as shown in Figure 31F-7-15. For pier-type (long unsupported length) vertical piles, three simplified procedures to determine fixity or displacement capacity are described in UFC 4-151-10 [7.12], UFC 3-220-01A [7.13] and Chai [7.14].
In order to determine fixity in soft soils, another alternative is to use Table 31F-7-8.
The displacement capacity, Δ, for a pile pinned at the top, with effective length, L, (see Table 31F-7-8 and UFC 4-151-10 [7.12]), and moment, M, is:
|E||=||Modulus of elasticity|
|I||=||Moment of inertia|
DISTANCE BELOW GROUND TO POINT OF FIXITY
|PILE EIg||SOFT CLAYS||LOOSE GRANULAR & MEDIUM CLAYS|
|< 1010 lb in2||10 feet||8 feet|
|> 1010 lb in2||12 feet||10 feet|
Assuming linear curvature distribution along the pile, the allowable curvature, ϕa, can be established fromml:
εa = allowable strain limit according to Section 3107F.3.3.3
c = distance to neutral axis which can be taken as Dp/2, where Dp is the diameter of the pile
The curvature is defined as:
The maximum allowable moment therefore becomes:
The displacement capacity is therefore given by: