Principles of Foundation Engineering (MindTap Course List)
Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
Question
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Chapter 14, Problem 14.1P
To determine

Find the relative proportions of the load carried by the piles and the raft (X) in terms of Kr and KP.

Find the stiffness of the piled raft (Kpr) in terms of Kr and KP.

Expert Solution & Answer
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Answer to Problem 14.1P

The relative proportions of the load carried by the piles and the raft in terms of Kr and KP is Kp0.85KrKp0.7Kr.

The stiffness of the piled raft (Kpr) in terms of Kr and KP is Kp0.7Kr10.72KrKp

Explanation of Solution

Given information:

The pile raft interaction factor αrp as 0.85.

Calculation:

Consider the ratio of load on raft to total load of pile (PrPt) is equal to relative proportion carried by the raft (X)

Find the relative proportion carried by the raft (X) using the formula.

PrPt=X=Kr(1αrp)Kp+Kr(12αrp)=Kr(10.85)Kp+Kr(12×0.85)=0.15KrKp0.7Kr

Find the ratio of load on pile to total load (PpPt).

(PpPt)=1X=10.15KrKp0.7Kr=Kp0.7Kr0.15KrKp0.7Kr=Kp0.85KrKp0.7Kr

Therefore, relative proportions of the load carried by the piles and the raft in terms of Kr and KP is Kp0.85KrKp0.7Kr.

Find the stiffness of the piled raft (Kpr) using the formula:

Kpr=Kp+Kr(12αrp)1αrp2KrKp=Kp+Kr(12×0.85)10.852KrKp=Kp0.7Kr10.72KrKp

Therefore, the stiffness of the piled raft (Kpr) in terms of Kr and KP is Kp0.7Kr10.72KrKp

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