Civil Engineering: Foundations & Retaining Structures Review

Using the notation in Fig. 19, which shows a group of vertical piles with a rigid pile gap with an imposed vertical eccentric load, the location of the pile group centroid is
The axial force on each pile in row i, neglecting the self-weight of the pile and the pile cap, is given by
For a symmetrical group, the location of the group centroid is
When the applied load coincides with the pile group centroid, the axial force on each pile is given by
When the pile cap is subjected to a bending moment, M, the eccentricity is given by
When each row in the group has an identical number of piles n R and the number of piles in each line is n L, the load applicable to each line is
The axial force on a pile in row i is
Figure 20 illustrates a group of vertical piles subjected to a horizontal load, as in the case of a pier or wharf. the piles are considered fixed-ended at the pile cap and at a depth of penetration, H, below the bottom of the rigid pile cap, with a point of contraflexure occurring at a depth of H/2. The total moment acting on the pile group is
The axial force on each pile in row i