settlement of group pile and block...
TRANSCRIPT
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SETTLEMENT OF GROUP PILE AND
BLOCK FAILURE
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Types of settlement
• Similar to any cases of settlement, it can be classified into 2 types:-
a. Elastic settlement
b. Consolidation settlement.
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Elastic Settlement of Piles Groups
� The simplest relation for settlement of groups piles is given by
Vesic(1969):-
Where Bg = Width or pile group section
D = Width or diameter of each pile in
group
s = elastic settlement of each pile at comparable
working load.
Ds
BS
g
eg =)(
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IN
Bq92.0)mm(S
cor
g)e(g =
� For pile group in sand and gravel, Meyerhof (1976) suggested :-
� Where q(kN/m2) = Qg/(LgBg)
Lg and Bg : Length and width of the pile group section in m
Ncor : Average corrected SPT within seat of settlement ( ~ Bg
deep below the tip of the piles).
I = Influence factor = 1 – L/8Bg >= 0.5
L = Length of pile embedment
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c
g)e(g
q2
IqBS =
• In similar manner, the pile group settlement can be related to the
cone penetration resistance as:-
Where qc = average cone resistance within the seat of settlement.
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Elastic Settlement of Piles Under Working
Load
� Caused by three factors:
s = s1 + s2 + s3
Where
s : Total pile settlement
s1 : Settlement of pile shaft
s2 : settlement of pile caused by the load at pile point.
s3 : settlement of pile caused by the load transmitted along the pile shaft.
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LEA
QQs
pp
wswp1
ζ+=
• Where :
Qwp = load carried at the pile point under working load condition.
Qws : load carried by skin resistance under working load condition
Ap = Area of pile cross section
L = Length of pile
Ep = Young Modulus of the pile material.
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• Magnitude of ξ depend on the skin resistance distribution as below:-
f
f
f
ξ = 0.5 ξ = 0.67 ξ = 0.5
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wps
2
s
wp2 I1
E
Dqs
µ−=
� Where:-
D = width or pile diameter
qwp = point load per unit area at the pile point = Qwp/Ap
Es = Young Modulus of soil
µs = Poisson’s ratio of soil
Iwp = Influence factor
Iwp can be taken as shown while µs is obtained from table given.
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p
pwp2
Dq
CQs =
� Vesic also proposed semiempirical method to obtain s2 as :-
� Where
qp = ultimate point resistance of pile
Cp = empirical coefficient.
Cp is as given below(Vesic-1977)
Soil Type Driven Pile Bored Pile
Sand(Dense to Loose) 0.02-0.04 0.09-0.18
Clay(Stiff to Soft) 0.02-0.03 0.03-0.06
Silt (Dense to Loose) 0.03-0.05 0.09-0.12
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wss
2
s
ws3 I1
E
D
pL
Qs
µ−
=
• S3
Where
P : perimeter of pile
L : embedded length of pile
Iws : Influence factor
Vesic (1977) proposed simple empirical relation for s3 as:
Example
D
L35.02Iws +=
p
p
sws3
CD
L16.093.0Cs
where
Lq
CQs
+=
=
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Consolidation Settlement of Group Pile.
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Bearing Stratum
D
END BEARING
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2/3D
SKIN FRICTION
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General Consolidation Settlement of Group Piles.
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Estimation can be made using a 2:1 stress
distribution methods as shown.
Step 1: Let depth of embedment as L with the pile group subjected
to load Qg. If pile cap is below the OGL, then Qg = Load
from superstructure – effective weight of soil remove.
Step 2: Assuming load Qg is transfer to the soil beginning at a
depth of 2L/3 from the top of the pile. This is considered as
depth z = 0. From then Qg is spreaded out in 1:2 direction
to the below of the pile tip.
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Contd…
Step 3 : Calculate the stress increase cause at the middle of each soil layer cause by load Qg:
Step 4 : Calculate the settlement of each layer caused by the stress increase
Step 5 : Total Consolidation of pile settlement is calculated by
∆Sc(g) = Σ∆Sc(i)
It should also be noted that the settlement can be initiated by fills nearby, adjacent floor load and lowering of water table.