Solution From Table 11.1, for sand having a medium density, use a value of horizontal displacement divided by height of pile subjected to passive resistance of:
1
/
2
(0.002 +0.006) =0.004
Horizontal deflection of pile head for passive resistance in the upper 5 ft (1.5 m) of soil =
(0.004)(60 in.) =1/4 in. (0.6 cm)
To determine passive resistance, use Eq. (6.26):
P
p
=1.5k
p
g
tDH2
=1.5 [tan
2
(45°+34°/2)](125)(1.0)(5)
2
=16,600 lb (72 kN)