An $1\mathrm{.}0-$ft diameter pile as an ultimate capacity of $100,000$ lbs$.$ You are planning to

drive a group of piles all with this same diameter and capacity. Your group will consist

of $36$ piles in a $6$ x $6$ square pattern with a pile spacing of $4\mathrm{.}0$ ft$.$ Calculate the capacity

of the pile group.

$6.$ The same pile group described in Problem $5$ will be driven $30$ ft into a clay layer. The

clay layer is $40$ ft thick and is underlain by bedrock. The properties of the clay layer

and pile group are:

$$ the total pile group load $=2,000,000$ lbs

$$ the clay is normally consolidated

$$ the water table is at the ground surface

$$ Cc $=0\mathrm{.}33$

$$ e o $=1\mathrm{.}1$

$$ the total unit weight of the clay is $117$ pcf

Calculate the expected consolidation settlement of the pile group. Use the Trapezoid

Method to calculate changes in stress in the clay layer due to the pile group load.