advanced foundation engineering (57011)
TRANSCRIPT
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AdvancedFoundationEngineering
IVYear
B.Tech,
ISemester
Dr.PVSNPavan Kumar
Associate Professor
GuruNanakInstitutionsTechnicalCampus
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Syllabus Unit 1BearingCapacitytheories,eccentricand
,
Unit 2
Settlement
of
foundations
Unit 4
Pile
foundations
Settlement
of
piles
Unit 5Lateralearthpressuretheories
Retainingwalls
Unit 6
sheet
pile
walls
Unit 7Caissons&wellfoundations
Unit
8
Expansive
soil
and
treatment
methodsDr.PVSNPavanKumar
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TEXTBOOKS
th. , . . ,PWS Publishing, Singapore
2. Bowles, J.E., (1988) Foundation Analysis and Design 4th edition,- .
3. Geotechnical Engineering : Principles and practices of soil mechanics and
foundation engineering by VNS Murthy, Taylor & Francis Group
REFERENCE BOOKS
1. Geotechnical En ineerin b C. Venkataramah NewA e InternationalPvt. Ltd, Publishers (2002).
2. Analysis and Design of structures Swami Saran, Oxford & IBH. .
3. Basic and Applied Soil Mechanics by Gopal Ranjan & ASR Rao, NewAge International Pvt. Ltd, Publishers (2002).
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Unit I
Bearingcapacitytheories
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Contents
Introduction
Terminology,Terzaghi andMeyerhofbearingcapacity
theories Hansenbearingcapacitytheory
Vesic bearingcapacitytheory
Foundationsonlayeredsoil
Tutorialsand
assignments
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IntroductionFoundation
e es gne s ruc uresres ngon eear
mustbecarriedbysomekindinterfacingelementca e oun a on.
Foundation
transmits
the
load
into
the
supporting
soilorrock.
Structurewillconsistofthreeparts Super
structure,sub
structure
and
foundation.
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Introduction
Foundationsare
classified
as
shallow
foundations
anddeepfoundations.
Shallow
foundation
have
D/B
1.Footings,combinedfootings,strapfootingsormat/raftfoundations.
Dee
foundationhave
L B
4.Exam les ilesdrilledpiersordrilledcaissons.
spreadingtheloadslaterallyandsupportcolumn.
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Introduction
Matisaspecialfootingusedtosupportseveral
randoml s acedcolumnsortosu ortseveral
rowsof
parallel
columns.
ratherthanhorizontally.
tostructureislessthanbearingcapacityofsoiland
.
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Introduction
Fewbuildingscollapsefromexcessivesettlements,
member.Unsightly
wall
and
floor
cracks
uneven
, .
Variability
of
soil
in
combination
with
unanticipated
oa sorsu sequen so movemen s ear qua es
canresultinsettlementproblems.
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Bearingcapacity
Soilmustbecapableofcarryingtheloadsfromthe
structure lacedonitwithoutshearfailureandwith
resultingsettlements
within
tolerable
limits.
, u
pressurethefootingissubjectedforshearfailureof
Footingpunchesintothegroundwitha
.
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thefooting
is
subjected
to
avoid
abase
shear
.
qa=
FSult
q
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Bearingcapacitytheory(=0)
S=c+tan
Unitwidthstrip
footing,Element1
Rotationoffootin about ointo
Element2
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Bearingcapacitytheory
Element1Element2
1and3=Majorandminorprincipalstress
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Bearingcapacityequation
Element2
32
12=q +2c(for=0)Element1
= =q +2c11 =q +2c+2c=q+4c(for=0)
ult
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Bearingcapacity(csoil)Element2
Soilwedge
agb moves
down
Lateralpressures
develo alon lineag andtranslates
blockagf
horizontallyagainst
Element1
.
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Bearingcapacity(csoil)
DeterminethepassivepressurePPandconsiderthe
bearingcapacity,
qultas
follows
ult c q
Some
limitations
of
the
above
procedure
isZoneagf isneglected.
Footinginterfaceisroughandcontributestoroughness
e ect
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Bearingcapacity(csoil)Shapeofblockagfe poorlydefinesthezoneresistingthe
wedgemovementintothesoil.Alogarithmicspiralbetter
defines
the
slip
surface
from
g
to
f
and
partly
along
f
to
e.Solutionisforunitwidthstripacrossaverylongfooting,so
ithastobeadjustedforround,square,orfinitelength
footings
(it
needs
shape
factors).Shearresistancefromplaneae tothegroundsurfacehas
beenneglected,itrequiressomekindofadjustment(i.e.
Ifloadisinclinedfromvertical,inclinationfactorsare
.
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,
Meyerhofbearing
capacity
theory,
1963
Hansen earingcapacityt eory,1970
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Terzaghi bearingcapacityequation(1943)
Acomprehensivetheoryfortheevaluationofthe
ultimatebearin ca acit ofrou hshallowfoundations
(DfB). A licableforacontinuous orstri foundation i.e.
onewhosewidthtolengthratioapproacheszero).
mayalsobeassumedtobereplacedbyanequivalent
surchar e, = D where isaunitwei htofsoil .
Generalshearfailureisassumed.
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Terzaghi bearingcapacitytheory
Radial shear zones ADF and CDE, with the curves DE and DF being arcs of a
lo arithmic s iral.
Two triangular Rankine passive zones AFH and CEG
Shear resistance of soil above the base of footing is neglected i.e. along the failure
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surfaces GI and HJ was neglected.
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Terzaghi bearingcapacityequation
Consideringverticalequilibriumofforcesonfooting
Sc=1+0.3
L
B
Rectangularfooting
Sq=1
S=10.2L
B
, ,
=angleofinternalfriction,q=effectiveoverburdenpressureatbase
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o oo ng
kp
=Coefficientofpassivepressure
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Terzaghi bearingcapacitytheory
Terzaghi developedbearingcapacityequations
considerin a eneralshearfailureinadensesoil
andalocal
shear
failure
for
aloose
soil.
cohesionandas"
.
For local shear failure modified bearing capacity
ac ors are e erm ne rom = an
. an
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Tutorial1
equation for a square footing and soil properties shownin Figure below. B = 3m Use factor of safety = 3.0ca cu a e qa
=20
c . , q . , .
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Meyerhofbearingcapacitytheory
Terzaghi bearingcapacitytheoryhasfollowingshortcomings
Shearresistance
along
failure
surface
in
soil
above
the
basefoundationisneglected(alongGIandHJ).
Loadonthefoundationmaybeinclined.
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Meyerhofbearingcapacitytheory
bearingcapacity
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Meyerhofbearingcapacityequation
qult=cNcScdcic+qNqSqdqiq+0.5BNS d i c, q,
Sc,Sq,S
Shape
factors
c, q, ept actors
ic,iq,i
inclination
factors
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MeyerhofbearingcapacityequationAny
Anycot1= qc NN
tan2 LB
KS pc 2.01+= D
Kd pc 2.01+=
>10 >102q
=
( ) 4.1tan1= qNN B
KSS pq 1.01+== D
Kdd pq 1.01+==
=0 =0
1== SSq1== ddq
Any
FordepthD=BMeyerhof
qultissameasTerzaghi
theory.Differenceismore
2
901
==
qc ii
>10 pronouncedat
larger
D/B
ratios.
Inclinationfactorsreduce
1
=
i
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=0 thebearingcapacitywhen
theload
is
inclined
from
vertical.
=
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Tutorial
A foundation column has to carr a ross allowable total mass of15,290 kg. The depth of foundation is 0.7m. The load is inclined at
angle 20 to the vertical as shown in Fig.1 below. Determine thew t o t e oun at on, . se actor o sa ety o . se
Meyerhofs method. For = 30, Nc = 30.14, Nq = 18.4, N = 22.4Dec 2012
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Tutorialqult=cNcScdcic+qNqSqdqiq+0.5BNS d i C=0;=30;Nc=30.14,N =18.4,N =22.4
q=18*0.7=12.6
kN/m
2
= = = c q
kp =3
c . . q . .
ic=iq=(1(20/90))2=0.60i=(1(20/30))
2 =0.11
qult =15290 BB=0.75m
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Tutorial
Afooting
of
size
2m
x4m
is
placed
at
adepth
of
1.5m
belowthegroundsurface.Estimatethenetsafe
loadthatcanbesupportedbythefooting.Take
factorofsafety=2.5,c=22kN/m2.=30 Nc=30.1,Nq=18.4,N=16.7.UseMeyerhof
recommendation
(June/July
2014)
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Hansenbearingcapacitytheory(1970)
Hansen theory extends the bearing capacity equation for a footing
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Pavan
Kumar
tilted from horizontal and possibility of slope of ground supporting the
footing.
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Hansenbearingcapacitytheory(1970)
qult=cNcScdcicgcbc+qNqSqdqiqgqbq+0.5BNS d i gb
B.C.Factors ShapeFactors
BNq=qc
tan2
45tan eNq
+=
LNcc
tan1
B
Sq +=
tan15.1 = qNN 6.04.01 =L
BS
IncaseofeccentricloadingBandLarereplacedbyBandL,the
effective dimensions of footin B=B2e L=L2e
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Hansenbearingcapacitytheory(1970)
DepthFactors InclinationFactors
c .. +=
1/ =B
DforBDK 1
=q
q
qc
N
ii
1)/(tan 1 >= B
forBDK
Kin
radians
cot
5.01
+
=a
qAcV
Hi
kdq2
)sin1(tan21 +=5
7.01
= H
i
Hishorizontalloadonfooting,Vverticalloadonfooting,A=BL(effectivearea),
. co+ a
c
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Pavan
Kumar
a . .
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Hansenbearingcapacitytheory(1970)
Groundfactors baseonslo e
Basefactors(tiltedbase)
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Kumar
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Hansenbearingcapacitytheory(1970)
For=0
qult=5.14su(1+sc+dcicbcgc)+q
Kisdefinedabove
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Vesic bearingcapacitytheory(1973)
Vesic conformed the basic nature of failure surface
similar to Terza hi.
Inclined surface AC and BC make an angle 45+ with
horizontal instead of . 2
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Vesic bearingcapacitytheory(1973)
Sameas
Hansen
theory
except
N
qult=cNcScdcicgcbc+qNqSqdqiqgqbq+0.5BNS d i gb
B.C.Factors ShapeFactors DepthFactors
=
cot1= qc NN LB
NS
c
q
c +=1c ..
1/ =
B
DforBDK
tan2
245tan eNq
+=
tan1L
Sq += 1)/(tan 1 >=
BforBDK
Kinradians
tan12 += qNN 6.04.01 = LS kdq2
)sin1(tan21 +=
allford 0.1=
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Kumar
b h ( )
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Vesic bearingcapacitytheory(1973)
InclinationFactors Ground factors
isinradians
Basefactors tilted
base
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V i b i i h (1973)
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Vesic bearingcapacitytheory(1973)
u=0
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T i l
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Tutorial
Compare the ultimate bearing capacity of a strip footing 1.5m
wide with its base at a depth of 1m resting on a dry sand
stratum with c = 0, = 3 8 and d = 17 kN/m3. UseMeyerhof, Hansen and Vesic theory (June 2010)
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Kumar
I li d l d d f ti
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Inclinedloadedfooting
Anal sisofhorizontalload Eccentricload
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Bearing capacity of footings subjected to
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Bearingcapacityoffootingssubjectedto
Foundation subjected to lateral loads and momentsresult in eccentric loadin .
If point of application of resultant of all loads is awayfrom centriod results in eccentric loading.
Eccentricity, e is distance between the point of
application of resultant load and centre of footing. Thiss ou e < .
Foundationsubjectedtoaneccentricverticalloadtilts
pressureincreasesonthesideoftiltanddecreaseson
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Bearing capacity of footings subjected to eccentric
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Bearingcapacityoffootingssubjectedtoeccentric
loadin
Eccentricallyloaded
footing
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Kumar
Bearing capacity of footings subjected to eccentric
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Bearingcapacityoffootingssubjectedtoeccentric
loadin
Eccentricityabout
yaxisEccentricityabout
xandyaxis
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Bearing capacity of footings subjected to eccentric
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Bearingcapacityoffootingssubjectedtoeccentric
loadin
Meyerhofindicatetheeffectivefootingdimensions
L'=L2exand
B'
=B
2ey
Effectiveareaoffooting,A=L'B
Ultimateload
bearing
capacity
of
afooting
subjectedtoeccentricloads=Q'ult=quA
=ultimatebearin ca acit ofthefootin of
dimensionL
xB
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Kumar
M i d i i b
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Maximumandminimumbasepressures
Maximumpressuredevelops
atCandminimumatDgiven
asfollows
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Kumar
Eccentric loading
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Eccentricloading
ncreaseo
eccen r c y
o
oa
ncreases
e
maximumpressureatoneedgeoffootingand
ecreases epressurea o eren ens on .
Soilis
poor
in
carrying
tensile
stress
and
the
eccentricityislimitedtoanareaknownasKern.
ex1
11
5.014.4
d
BN s += 2
1.114.4
d
BN s +=
21
212
NN
NNNc +
=Circularfooting33.005.5
BN +=
66.005.5
BN +=
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Pavan
Kumar
1d 1d
Foundation on layered soil
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Foundationonlayeredsoil
( )dHdModi ied 2111
+=
H
( )cdHcdcModified 2111
+=
Ultimatebearingcapacity,qultisdeterminedfrommodifiedc,
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UNITIISettlementoffoundations
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Elasticsettlementoffootingsinsandsandclays
FootingsonsoilsofFinitethickness
Schmertamann's method
Janbu method
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Allowable bearing capacity
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Allowablebearingcapacity
Inmanycases,theallowablesettlementofa
bearingcapacity.
Settlementsarelargewhenthewidthoffootingis
large
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Causes of settlement
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Causesofsettlement
Duetoweightofrecentlyplacedfill Fa o groun water eve orpumping
Under
ground
mining/tunneling Formationofsinkholes
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duetotheapplicationofloadisknownas.
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Introduction
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Introduction
Foundationsettlementsmustbeestimatedwithgreat
careforbuildin s brid es towers ower lants and
similarhighcoststructures.
Forstructuressuchasfills earthdams braced
sheeting,andretainingwallsagreatermarginoferror
inthesettlements. WhatistheconsequenceofUnderandoverprediction
ofsettlements?
Underprediction Unsafedesignandfailureofstructure.
caissonfoundationorimprovementofsoil.Dr.PVSNPavanKumar
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In r i n
D
Dqult
Additional stress due to the footing produces a time
, , ,
and elastic distortions in a limited influence zone beneath theloaded area.
The statistical accumulation of movements in the direction of
interest is the settlement. Dr.PVSNPavanKumar
Introduction
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Introduction
Particleslidingandrollingproduceadecreaseinthe
Onlyasmallfractionofsettlementiselasticand
ofsample.
nsp eo a oveso s rea e asae as cma er a
withparametersEs,G', , and ksto estimate
se emen s.
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Classification of settlements
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Classificationofsettlements
Immediate, or those that take place as the load isli r i hin im ri f 7
Applicable for all fine-grained soils including silts andclays with a degree of saturation,s 90 % and for allcoarse-grained soils with a large coefficient of
permeability above 10-3m/s.
onso a on se emen s are ose a are me-dependent and take months to years to develop.
consolidation settlement for over 700 years. The lean iscaused b the consolidation settlement bein reater onone side.
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important.
(S=100%)andnegligibleforS=0
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LeaningtowerofPisa
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g
Towercompletedbetween1360to1370.Angleof
tiltatthattimeis3fromrestoftower.
Ittook
200
years
to
complete
project.
,
about2.5metersintotheground.
yen o e cen ury e o a wasa ou
5.5degrees.
Towerisclearly
on
the
brink
of
collapse.
Pressureonsoil62to930kPa.
Aminorearthquakecouldcauseittotopple.Dr.PVSNPavanKumar
Classificationofsettlement
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Secondary
Compression:
e aye progress ve s ppage o gra n as e par c es
adjust themselves to a medium dense condition.Settlement due to secondary compression
tcp
ste
og1 0+
= e0initialvoidratio
Hthicknessoflayer
tisanytimetptimeforcompletionofprimary
conso at on
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Depth of influence, H is taken as
4B to 5B or hard layer with bottom
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4B to 5B or hard layer with bottom
qulth1
layer having E ten times higherthan top layer
E1,1,1,q 1
.
Theory of elasticity assumes thatsoil is homo enous and isotro ic
E , ,q
h2 H
=
n
iihsettlementTotal H
,
h3
=1
= =q
3,3,3, q3
sE
foundationonlayeredsoilDr.
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(Es9
G', , and ks)
Duetoaboveproblemsgreatertendencytouse
ns tutestssuc asSPT,DCPT,SCPT,P ate oa
testetc.
Thesetestsgivehorizontalvaluesinsteadofverticalvaluesactuallyneeded(Anisotropy)
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UnconfinedCompressiontest Triaxial Compressiontest
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s
Triaxial test Insitutestssuc asSPT,CPT,pressuremeter
test,flatdilatometer.
Theabovetestsgivemodulusofelasticityin
horizontaldirectionbutthemodulusofelasticity
v u .
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Kumar
Modulusofelasticityfromfieldtests
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y
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Stressincreaseinsoilduetofootingpressure
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2V:1HMethoderme o s
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PVSN
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Stressincreaseinsoilduetofootingpressure
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PVSN
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Kumar
Stressincreaseinsoilduetofootingpressure
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Boussinesq theory(1885)givethestressatdifferent
ointsbelowthe roundsurfacedueto
concentratedload,lineandstriploads,rectangular
andcircularloadedareas.
Westergaard (1938)equationisusedestimateof
v strataoffineandcoarsematerials,asbeneatha
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PVSN
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Immediatesettlement
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Settlement of the corner of a rectangular base of
' '
half
space can be computed from an equation
and Goodier (1951)] as follows
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Immediatesettlement
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q0=intensityofcontactpressureinunitsofEs
= east atera mens on o contr ut ng ase area
Es, = elastic soil parameters (Avg. mod of different layers)
1
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Depth
factor,If
ground,dependingonPoisson'sratioandL/B.Dr.PVSNPavanKumar
Immediatesettlement
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Aboveequationisapplicableforflexiblefootings.
decreasesby7%offlexiblefootings.
Settlementofrigidfooting=0.93xSettlementofflexiblefooting
Settlementofrigidfooting=0.8xSettlementofflexible
Obtaintheweightedaveragemodulusofelasticityofsoil
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Estimatethesettlementoftheraftormat
foundationforthefollowingdata.
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q0=134kPa BxL=33.5x39.5m
surfacetosandstonebedrockat 14m.Raftisat .
Esofclaylayerfrom3to6m=42.5Mpa
Esofclaylayerfrom6to14m=60Mpa
E forsandstone>500Mpa
=0.35
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Elasticsettlementoffoundations
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Netelasticsettlementforaflexiblesurface
footingis
e
B=widthoffoundation
=
Poisson
ratioE =Modulusofelasticityofsoil
If=InfluencefactorDr.PVSNPavanKumar
Elasticsettlementoffoundation
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InfluencefactorIf(Bowles,1988)
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SdCS =
Cr
=Rigidityfactortakenas0.8forhighlyrigid
foundation
d =de thfactor
Se=Settlementofasurfaceflexiblefooting
Dr.PVSNPavanKumar
Depthfactor,df
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Correction curves for elastic
settlement for rectangular
footings at different depthsDr.PVSNPavanKumar
Arectangularfootingof1.5mx1.0msizeexertsapressure
of150kN/m2 onacohesivesoilhavingEs=3x104 kN/m2
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andm=0.5.Determinetheelasticsettlementatthecenteroffootingassumingthefootingisflexible.Takethevalueof
, f . . , .
Asquarefootingof1.2msizeissubjectedtoapressureof2 .
settlementatthecornerofthefootingassumingthe
footin
is
ri id.
Take
the
avera e
influence
factor
I
=
0.82
andEs=4x104 kN/m2.
Dr.PVSNPavanKumar
Schmertmann method
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Schmertmann (1970) observed that variation ofstrain under the footing over sand is similar to thedistribution of vertical stress due to footing
pressure. Pressure bulb changes more rapidly from a depth of
about 0.4B to 0.6B and this depth is interpreted to
footings.
diagram to model the strain distribution with. , . , , . , ,
respectively for square and circular footing.Dr.PVSNPavanKumar
Schmertmann method
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ForstripfootingofL/B>10,maximumstrainwill
thebaseiszeroandimmediatelybelowthebase
Dr.PVSNPavanKumar
Schmertmann method
d l f
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SquareandcircularfootingStripfooting
z
q
I
+= 1.05.0
q=Netfoundationpressure=q0q
0 effectiveoverburdenpressure
atbase
q
p0 = effective overburdenpressure at depths B/2 and B for
square and strip foundations
respectively.Dr.PVSNPavanKumar
Schmertmann method
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Settlement=Areaofthestrain
0.1
0.5B
embedmentdepthandtimeshall
beadoptedasfollows:0.6 Variation
ofstrain
influenceForembedment
factor,Iz
forsquareFortime
2B
circular
footing
tinyearsDr.PVSNPavanKumar
Schmertmann method
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Forsquarefooting
Es=2.5qcForstripfooting,L/B10
Es
=3.5qcqc=Staticconepenetrationresistance
q=Netfoundationpressure=q0 q
Dr.PVSNPavanKumar
Schmertmann method
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Static cone penetration test is conducted in sub soil
layers of approximately constant values of qc
.
The strain influence factor I dia ram is laced
alongside cone penetration diagram beneath the
foundation to the same scale.
Settlement of each layer resulting from the net
contact pressureq is then calculated using the values
of Es
and Iz
appropriate to each layer.
Sum of the settlements in each layer is then
correcte or t e ept an creep actors
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StaticCone
penetrationtest
Dr.PVSNPavanKumar
Estimate the elastic settlement by
S h t ' th d b ki f th
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Schmertmann's method by making use of therelationship qc = 4 Ncor kg/cm
2 where qc = static
cone penetration value in kg/cm2. Assume
settlement is required at the end of a period of 3years. Depth of foundation = 2m
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Dr.PVSNPavanKumar
Acontinuousfootingonalayerofsandisshownin
gure
e owa ong
w t
t e
var at on
o
t e
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gure e ow a ong w t t e var at on o t emodulusofelasticityofthesoil,Es.Assumingthat
= m an assum ngacreept meo
yearsforthecorrectionfactorC2.Calculatethee as cse emen o e oun a on,us ng e
straininfluencefactor(Nov2012).
Dr.PVSNPavanKumar
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Dr.PVSNPavanKumar
Janbu method
Janbu et al (1956) proposed an equation for
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Janbu et al. (1956) proposed an equation for evaluating the average settlement of flexible strip,
rectangular, square or circular foundations on
saturated clay soils (Poissons ratio, 0.5)
q0footingcontactpressure
Dr.PVSNPavanKumar
Janbu method
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Dr.PVSNPavanKumar
Janbu method
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ConsolidationtestsetupDr.PVSNPavanKumar
Consolidationtestme
(Min)
a gaugerea ng
0.5kg/cm2 1kg/cm2 2kg/cm2 4kg/cm2 8kg/cm2 16kg/cm2
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g/ g/ g/ g/ g/ g/
Load
in
Unload
in
Loadin Unload
in
Loadin Unload
in
Loadin Unload
in
Loadin Unload
in
Loadin Unload
in
0
0.5
2
4
8
16
25
1
2
8
16
Dr.PVSNPavanKumar
Consolidationsettlements
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VirginCompressionornormal
RecompressionorOverConsolidation
VirginCompression
ornormal
consolidation
Swelling
Resultofconsolidationtest
Dr.PVSNPavanKumar
Consolidationsettlements
Settlements of finegrained, saturated cohesiveil ill b ti d d t d lid ti
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Settlementsoffine grained,saturatedcohesivesoilswillbetimedependent,andconsolidation
eory susua yuse .
Incaseofnormallyconsolidatedclays
wherecc=compression index from the e versuslog p plot = 0.009(LL 10),LL=Liquidlimit(%)
eo= in situ void ratio at the middle of clay stratumH = Stratum thickness for a thick stratum divide
into several layersDr.PVSNPavanKumar
Consolidationsettlements
po =effectiveoverburdenpressureatmidheightof
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p o effective overburden pressure at mid height of
p = average increase in pressure at middle of clay
Overconsolidated clays
Dr.PVSNPavanKumar
Preconsolidated clay
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Recompression
Vir in
Compression
Normal
Dr.PVSNPavanKumar
Consolidationsettlements
If soil is preconsolidated
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p
Crrecompressionindex
C com ressionindex
Dr.PVSNPavanKumar
Consolidationsettlement
Otherequationtodeterminethesettlementof
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qfoundationis
mv=Coefficientofvolumecompressibility
p=increaseofpressureinmiddleofclaylayer
H=thicknessofclaylayer
Dr.PVSNPavanKumar
A square footing 1.2m1.2m rests at a depth of 1m
.
normally consolidated, having an unconfined
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y , g2.
liquid limit of 30%, sat= 17.8 kN/m3, w=28% and
G = 2.68. Determine the load which the footin
can carry safely with a factor of safety of 3
against shear. Also determine the settlement if the
footing is loaded with this safe load (May 2010).
Square footing
qu= 1.3cNc+ Nq+ 0.4BN= = =, q ,
Dr.PVSNPavanKumar
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Maximum
settlement
Dr.PVSNPavanKumar
Allowablesettlement
Settlements can be computed for various points suchas corner center or beneath the lightest and heaviest
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as corner, center, or beneath the lightest and heaviest
differential settlement between adjacent points.
If the entire structure moves verticall some amountor rotates as a plane rigid body, this movement willnot generally cause structural or architectural distress.
a s ruc ure se es mm on one s e an mmon the other with a linear settlement variationbetween the two oints structural dama e is notlikely to develop but there are aesthetic and publicconfidence considerations.
e emen = mm eren a se emen = mm
Tilt = (10020)/L Dr.PVSNPavanKumar
Allowablesettlement
Localsettlementsbelowtiltlinewillcausethe
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.
Initialsettlements
that
occur
during
construction
canusua y e en ur ngcomp e ono
building.Acrackedwallorwarpedroofismuch
more cu oconcea .
Dr.PVSNPavanKumar
Allowablesettlement
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Longtimespansallowthestructuretoadjustandbetter
resistdifferentialmovementDr.PVSNPavanKumar
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foundations
Whatarethetypesofsettlementsandhow
conso at onsett ement sest mate
Dr.PVSNPavanKumar
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UNITIIIPileFoundations
Dr.PVSNPavanKumar
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Dynamicmethods Pi egroups
Negativeskinfriction
Underreamedpiles.
Dr.PVSNPavanKumar
Necessity
Shallowfoundationsarenormallyusedwherethesoil close to the round surface and u to the
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soilclosetothe roundsurfaceandu tothe
influencezonepossesssufficientbearingstrength
tocarr thesu erstructureloadwithoutcausin distresstothesuperstructureduetosettlement.
theloadfromthestructureistobetransferredto
Thestructuralloadsmaybetransferredtodeeper.
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Dr.PVSNPavanKumar
Endbearingandfrictionalpiles
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Endbearingpile Frictionalpile
Dr.PVSNPavanKumar
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through water or soft soil to a suitable bearing
.
strata and settlements are less.
surrounding granular soil along their length by
.
Piles carry super imposed load through endear ng an s n r ct on.
Dr.PVSNPavanKumar
En rin n fri i n l il
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EndbearingcumfrictionalpileDr.PVSNPavanKumar
Pilefoundations
Piles are long slender columns either driven,
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.
Driven piles are made of a variety of materialssuch as
concrete, steel, timber
Castinsitu piles are concrete piles.
If the diameter of a boredcastinsitu ile is
greater than about 0.75 m, it is referred as adrilled ier caisson or shaft.
Dr.PVSNPavanKumar
ClassificationofPilefoundations
Pilesmaybesubjectedtoverticalcompression,
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, .
PilesareclassifiedasshortorlongbasedonL/dratio.
Pilesareconstructedasverticalorinclinedpiles.
Inclinedorbatterpilesareusedtocarrylargelateralloads.
Dr.PVSNPavanKumar
Usesofpiles
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U lift tension
/anchorPiles
CompressionPilesDr.PVSNPavanKumar
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W
Pilessubjectedtolateralload
Dr.PVSNPavanKumar
Timberpiles
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Protectingshoe
SplicingDr.PVSNPavanKumar
Timberpiles
Materials:Timberpilesaremadeoftreetrunkswiththebranchestrimmedoff.Suchpilesshallbeofsoundquality
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andfreeofdefects.
Length
of
piles:15mormore.Forlargerlengthstheendsarespliced.
Diameterofthepilesatthebuttendvaryfrom30to40
cmandattipendmorethan15cm.
Life:Pilesentirelysubmergedinwaterlastlongifmarine
borersarenotpresent.Thelifeofpilessubjectedto
alternatewettinganddryingisless.Pilesshallbetreatedw awoo preserva ve,usua ycreoso ea g m
forpilesinfreshwaterand350kg/m3 inseawater.Dr.PVSNPavanKumar
Timberpiles
Driving:Crushingofthefibersonthehead(or
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,
ringaroundthebutt(top).
ax mum es gn oa perp e s ess an
kN.
Timberpilesarelessexpensiveinplaceswheretimberisplentiful.
Afterbeingdriventofinaldepth,allpileheads,
treatedoruntreated,shouldbesawedsquareto
soundundamagedwoodtoreceivethepilecap.Dr.PVSNPavanKumar
Timberpiles
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Dr.PVSNPavanKumar
ConcretePiles
Eitherprecastorcastinsitupiles.
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castingyardandthentransportedtothesiteof
.
Precastpilesaremadeofuniformsectionswith
. Taperedpilesaremanufacturedwhengreater
ear ngres s ance srequ re .
Normallypilesofsquareoroctagonalsections
aremanufactured.Theseshapesareeasytocast
inhorizontalposition.Dr.PVSNPavanKumar
ConcretePiles
Necessaryreinforcementisprovidedtotakecareofhandlin stresses.
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Pilesarealsoprestressed.
approximately2000kN andforprecastpiles
. .
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Castinplace
concretepiles
Dr.PVSNPavanKumar
PrecastDrivenpiles
es may e o m er, s ee or precas concre e.
They are driven either vertical or inclined.
,
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,single acting, double acting and differential acting steam
hammer, diesel, hydraulic and vibratory hammers. Compaction piles: Pile is driven into granular soil
displaces the surrounding soil equal to the volume of the.
Compacts the soil around the sides of pile.
The dis laced soil articles enter the soil s aces of theadjacent mass which leads to densification of the mass.
compactionofthesoilmassaroundapileincreasesitsbearingcapacity.
Dr.PVSNPavanKumar
Compactionpiles
Compacts
sandy
soil
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2 1
Decreases
strength
of
clay
soil
which
gradually
regains
with
time
Dr.PVSNPavanKumar
PrecastDrivenpiles
e s r ven n osa ura e s y orco es veso w
notdensify thesoilaroundthepilebecauseofitspoordrainagequalities.
Di l d il i l h id
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Displacedsoilparticlescannotenterthevoidspace
unlessthewaterintheporesispushedout. tress eve ope nso uetop e r v ng aveto
bebornebyporewater.
andaconsequentdecreaseinthebearingcapacityofthesoil.
Immediateeffectofpiledrivingistodecreasein
bearingcapacityofsoil.Remoldedsoilregainspart
disturbedparticleswithtime(thixotrophy).Dr.PVSNPavanKumar
PrecastDrivenpiles
Advantages: Can be precasted to the required specifications, any
, .
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,
Progress of the work is rapid.
capacity.
Construction work is neat and clean,
Supervision of work at the site is reduced Storage space required is very much less.
Used in sites where a fear of meeting ground water
under pressure due to drill holes. re erre orp es nw ar s ruc uresor e es.
Dr.PVSNPavanKumar
PrecastDrivenpiles
Disadvantgaes: Must be properly reinforced to with
stand handling stresses during transportation and
r v ng.
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g
Requires heavy equipment for handling and driving. Method involves cutting off extra lengths or adding
more lengths thus increases the cost of project.
They are not suitable in soils of poor drainagequalities due to heaving of the soil or the lifting of
the driven piles during the driving of a new pile.
Foundationsofadjacentstructuresarelikelytobe
affectedduetothevibrationsgenerated.Dr.PVSNPavanKumar
Drivencastinsitupile
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Dr.PVSNPavanKumar
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depthwiththeendclosedbyadetachable
.
Tubeisnextconcretedandtheshellis
. Insomecasestheshellwillnotbewithdrawn.
Dr.PVSNPavanKumar
BoredCast insitupiles
Constructedbymakingholesinthegroundtotherequireddepthandthenfillingtheholewithconcrete.
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concrete.
Straightboredpilesorpileswithoneormorebulbsatintervalsmaybecastatthesite.Thelattertypearecalledunderreamedpiles.
Advantages:Pilesofanysizeandlengthareconstructed,damageduetodrivingandhandling
,
adjacentstructuresaresafe.Suitableinsoilsof.
Dr.PVSNPavanKumar
BoredCastinsitupiles
Disadvantages: Careful su ervision and ualit control of all the
materials is necessary for casting of piles
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materials is necessary for casting of piles.
Sufficient stora e s ace is necessar forconstruction materials used in the construction.
No advantage of increased bearing capacity due
to compaction in granular soil.decreases by 3. Construction of these piles in holes with a heavy
ground water flow or artesian pressure is very
difficult.
Dr.PVSNPavanKumar
Steelpiles
They are rolled H shapes or pipe piles.
Designed to withstand large impact stresses
during hard driving
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during hard driving.
Pi e iles are either welded or seamless steelpipes which may be driven either openend or
closedend.
Pipe piles are often filled with concrete after
.
Optimumloadrangeonsteelpilesis400to
.
Dr.PVSNPavanKumar
SteelHpiles
Before
driving Afterdriving
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Dr.PVSNPavanKumar
Steelpipepiles
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Dr.PVSNPavanKumar
Methodstodetermineloadcarrying
capacityofsingleverticalpilea c ear ngcapac yequa ons
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UseofSPTandCPTvaluesFieldpileloadtests
Dr.PVSNPavanKumar
Staticcapacityofsinglepile
Bearingcapacityofpiledepends ,
T f il i i f bl
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Typeofsoil,positionofwatertable
et o o nsta at on
Designofpileshouldbesafeagainstshearfailure
andsettlementswithinlimits.
Dr.PVSNPavanKumar
Staticcapacityofsinglepile
Ultimateload,Qu=Qb+Qf=
q = Ultimate bearing capacity of
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qb=Ultimatebearingcapacityof
Ab=bearingareaofbaseofpile
f
s sfs=unitskinfriction
s= o a sur aceareao p e
embeddedbelowground
Dr.PVSNPavanKumar
Staticcapacityofsinglepile
Netultimateloadcapacityofpile,
'
s
n
isbqu AkqANqQ tan
100 += =
o
pile
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pile
q
=averageeffectiveoverburdenpressureoverthe0
'q
=averagelateralearthpressurecoefficientsk
Pile Values of
n=no.oflayers
material
LowDr HighDr
Steel 20 0.5 1.0
s
oncrete . .
wood 2/3 1.5 4.0
Drivenpiles
Maximum
skin
friction
0.3m for
proper placement of concrete in
stem.
ep o oun a on, e ow
g.l > 0.6m.
Base width of wall is between
0.5 H to 0.7H.
For Rankine theory a vertical
line AB is drawn through the
heel point.0.6m
assumed along the vertical line
AB. This is justified if AC makes
an angle
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does not intersect stem
i = angle of surcharge
To check the stability of wall, weight of soil above the heel in the zone ABC, Ws shall beconsidered, Weight of concrete in stem, Wc and active earth pressure force Pa shall be
considered. Dr.PVSNPavanKumar
Proportioningofgravityretainingwalls
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Coulombtheorydirectlygivesearthpressureonthebackfaceofwall,
we g o so , sno o econs ere .
Dr.PVSNPavanKumar
Proportioningof
semi
gravity
retaining
slightly smaller than gravity retaining wall.
gravity retaining wall.
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Dr.PVSNPavanKumar
Proportioningofcantileverretaining
Topwidthofwall>0.3m
Widthofbaseslabranges
from0.4Hto0.7H.
Widthofstematbottomis0.1H
Thicknessofbaseslabis
0.1H
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Lengthoftoeprojectionis
0.1H
Dr.PVSNPavanKumar
ProportioningofretainingwallsProportionsforstemand
baseslabaresameas
cant everwa
Counterforts maybe
0.3mthick
0.3Hto0.7H
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Conterfort retainingwallDr.PVSNPavanKumar
Stabilityofretainingwalls
Pa=activeearthpressure
Ph =PacosPv =Pasin=slopeangle
=wt w s
heelslabWc=Weightofwall
nc u ng ases a
Wt=resultantofwall,Wcandsoil,WsP = passive earth
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Pp=passiveearth
pressureatthetoesideof
FR=Basesliding
resistanceDr.PVSNPavanKumar
StabilityofretainingwallsForceresistingsliding,FR=caB +Rtan+Pp
c =unitadhesionB=Widthofbaseofretainingwall
= =s
c
v =angleofwallfriction
Factorofsafetyagainstsliding,
IfF
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ThepassivepressurePpshouldnotberelied
.Sliding
Dr.PVSNPavanKumar
Stabilityofretainingwalls
ac oro sa e yaga ns s ng
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y g g y p
baseofwall
Dr.PVSNPavanKumar
Stabilityof
retaining
walls
Overturningandstabilizing
aboutpointo.
Factorofsafetyagainst
overturning,
Fo=o
R
M
> 2 0
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>2.0
OverturningDr.PVSNPavanKumar
Stabilityofretainingwalls PRistheresultantofPaand
Wt.PRmeetsthebaseatm.
Ristheresultantofallthe
verticalforcesactingatmwithwt
aneccentricity
e.
Pressuredistributionattheaseo wa w amax mumqt
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t
atthetoeandaminimumqhat
theheel.
BearingcapacityfailureDr.PVSNPavanKumar
Stabilityofretainingwall
Stressattoe,FS
q
b
e
b
Vq ut
+= 6
1
quultimatebearingcapacityconsideringthe
,
061 > = eV ,
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.
BearingcapacityfailureDr.PVSNPavanKumar
StabilityofretainingwallAretainingwall
restingonmedium
oso so w a
byglobalfailure.
Slopestabilityisanalyzedbymethod
ofslices
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BasefailureDr.PVSNPavanKumar
StabilityofretainingwallDraina e
Saturation of backfill of a retaining wall is
accompanied by a substantial pore water
ressure on the back of the wall andincreases the earth pressure on wall.
ItisessentialtoeliminateorreduceporeWee holepressurebyprovidingsuitabledrainage.
Drainscollectthewaterthatentersthe
backfillanddisposesofthroughoutletsin
thewallcalledweepholes.
t t l i b fi t i l
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Verticaldraintopreventcloggingbyfinematerials.
Presentpracticeistousegeotextiles orgeogrids.
Dr.PVSNPavanKumar
StabilityofretainingwallDraina e
weep holes are usually made by
em e ing 100 mm iameter pipes in
the wall
Vertical spacing between horizontal
rows of weep holes should not exceed.Weep hole
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Horizontal spacing in a given row
Weephole
Inclineddrain epen s upon t e prov s ons ma e todirect the seepage water towards the
weep holes.Dr.PVSNPavanKumar
StabilityofretainingwallDraina e
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Horizontaldrain CombinationofHorizontalandinclineddrain
Dr.PVSNPavanKumar
Reinforcedearth
Soilcancarrycompressivestressbutitstensile
.
Reinforcedearthtechniqueisstrengtheningof
soil
by
inclusion
of
rods,
fibers,
bars
or
nets,
metalstrips,geogrids andgeotextiles.
Thisisaoldtechniquebutstudiedsystematically
byVidal(1969). Reinforced earth has several applications and
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Reinforcedearthhasseveralapplicationsand
oneamon themisreinforcedearthretainin
walls.Dr.PVSNPavanKumar
MechanicallyStabilizedwalls
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Wallunderconstruction Wallafterconstruction
Dr.PVSNPavanKumar
Typeofreinforcements Metallic
Metalstrip
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BarmatDr.PVSNPavanKumar
Typeofreinforcements Ploymeric
Geogrid
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GeogridDr.PVSNPavanKumar
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ar san
mens ons
o
e n orce
so
waDesign consists of verifying external and internal stability
Dr.PVSNPavanKumar
TutorialAtypicalsectionofwallwithgranularbackfill
reinforcedwith
metal
stri s
is
ivenin
Fi ure
5.
Thefollowingdataareavailable.
= = = = , , , y ,
steel=1.75,FSonsoilfriction=1.5.Theother=
andS=1m.Checkforexternalstability?(Nov
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Dr.PVSNPavanKumar
Metalstripsb=75mm,t=5mm
h=0.6mBackfill
3
S=1m
=34,C=0
6m wall
=36,c=0,=24,=18kN/m3For=36N =37.75
N=56.31
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FoundationSoil
=36,=17kN/m3
Figure.5Dr.PVSNPavanKumar
Assignment4(Unit
5)
1. Aboveproblem
. retainingwalls
.
sketch
. r eas or no eson ou om ear pressure
theoryalong
with
assumptions.
5. ExplainhowtodetermineRankine Activeearth
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pressureforinclinedbackfill
Dr.PVSNPavanKumar
UNITVI
Timberingoftrenches
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Dr.PVSNPavanKumar
AnchoredSheetpiles
Determinationo Dept o em e mentin
sandsandclays
Timberingoftrenches
Earth ressuredia rams
Forces in struts.
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Forcesinstruts.
Dr.PVSNPavanKumar
SheetpilewallsIntroduction
retainearth,wateroranyotherfillmaterial.
masonrywalls. Uses of sheet ile wall
Waterfrontstructures,forexample,inbuilding
wharfs,quays,andpiers
Buildingdiversiondams,suchascofferdams
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Riverbankprotection
RetainingthesidesofcutsmadeinearthDr.PVSNPavanKumar
Useofsheetpilewalls
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Earthretention
Dr.PVSNPavanKumar
Useo s eetpi ewa s
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Waterfrontstructures,forexample,inbuildingwharfs,quays,andpiersDr.PVSNPavanKumar
Useo s eetpi ewa s
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u ng
vers on
ams,
suchascofferdamsDr.PVSNPavanKumar
Useofsheetpilewalls
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RiverBankprotectionDr.PVSNPavanKumar
Useofsheetpilewalls
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RiverBankprotectionDr.PVSNPavanKumar
Useofsheetpilewalls
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RetainingthesidesofcutsmadeinearthDr.PVSNPavanKumar
Useofsheetpilewalls
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RetainingthesidesofcutsmadeinearthDr.PVSNPavanKumar
Reinforcedconcrete
Stee
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Dr.PVSNPavanKumar
Timbersheetpilewalls
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.
Usedfortemporarystructuressuchasbracedsheetingincuts.Dr.PVSNPavanKumar
Timbersheetpilewalls
Foruseinpermanentstructuresabovethewaterlevel,
properpreservativetreatmentisnecessary.
Theyhaveshortlife. m ers ee p esare o ne oeac o er y ongue
andgroovejoints.
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ofstonesastheydislodgethejoints.Dr.PVSNPavanKumar
Concretesheetpilewalls
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FlatsheetpileDr.PVSNPavanKumar
Concretesheetpilewalls
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CorrugatedsheetpileDr.PVSNPavanKumar
Concretesheetpilewalls
Tongueandgroovejoint
Reinforced concrete sheet piles are precast concrete members
Thesepilesarerelativelyheavyandbulkyandtheydisplacelarge
volumesofsolidduringdriving.Increasesdrivingresistance.
Designofpilesshalltakeintoaccountthelargedrivingstresses
and suitable reinforcement has to be provided for this purpose
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andsuitablereinforcementhastobeprovidedforthispurpose.
Dr.PVSNPavanKumar
Steelsheetpilewalls
Straightsheetpiling Shallowarchwebpiling
Archwebpiling Zpile
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Dr.PVSNPavanKumar
Stee s eetpi esArchweb iles
Shallowarch
piles
.
To resist large bending moments archweb and Zpiles are used.
When bending moments are less, shallowarch piles with smaller section moduli
can be used.
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Ballandsocket type of joints offer less driving resistance than the thumbandfinger jointsDr.PVSNPavanKumar
Steelsheetpilewalls
a an soc e
interlock
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HookandgripsheetinterlockDr.PVSNPavanKumar
Steelsheetpilewalls
sheet piles. They have several advantages over
.Lighter in section
hard or rocky materialCan be used several times
Can be used either below or above water and
possess longer life. Suitable joints which do not deform during driving
can be provided to have a continuous wall.
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boltingDr.PVSNPavanKumar
Canti evers eetpi ewa
eetp es xe at ottoman
freetorotateattoparecalled
cantileversheetpiles.
Acquiresstabilitydueto
embedmentintothesoilbelowthe
.
Thesepilesareeconomicalonlyformoderatewallheights,sincethe
requiredsectionmodulusincreasesrapidlywithanincreaseinwall
hei ht asthebendin momentincreases.
Lateraldeflectionofthistypeofwallisbecauseofthecantilever
action,willberelativelylarge.
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, . ., ,
shouldbecontrolledsincestabilityofthewalldependsonthepassive
pressureinfrontofthewall. Dr.PVSNPavanKumar
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Dr.PVSNPavanKumar
Sheetpilestructures
held in place by anchors
attached with anchor rods
buried in the backfill at a
considerable distance.
Used for dock and harbor
.
Use of an anchor rod tends
Anchoredsheetpilewallto reduce the lateral
deflection, the bending
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moment and the depth of thepenetration of the pile. Dr.PVSNPavanKumar
Freecantileversheetpilewall
Pp Pa b
Pa Pp
c
de=k D
Sheetpile
subjectedto Activeand assive
ap
K=kpka
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P pressureson
sheetpileNet
pressure
Dr.PVSNPavanKumar
Freecantileversheetpilewall
b
c
de
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NetpressureNetpressuresimplified
Areabcef iscommon
Dr.PVSNPavanKumar
Freecantileversheetpilewall
=0H
,
fromtwoequilibriumequations
0211 2 =+ hDkDkP
Determineh
c
=asea ouomen s
1
)( 2
++
D
DkDHP
d
ef0
32
2
1=
hhDk
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Substitutehinaboveeqn.Dr.PVSNPavanKumar
Freecantileversheetpilewall
0322
14 =+++ CDCDCD
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Dr.PVSNPavanKumar
FreecantileversheetpilewallBendingmomentismaximumatpointfat
k
PxxkP
2
2
1 2 ==
f
x
3
61)( xkxHPmomentBendingMaximum +=
b
c
de
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Dr.PVSNPavanKumar
CantileversheetpilewallsinsandysoilWatertableisatgreatdepth
Pa1
Pp1
EF
Pp2Pa2
ee p e wa
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ee p ewa
supportingsandy
soil
pressureson
sheetpileNet
pressure
AreaGOEFiscommonDr.PVSNPavanKumar
CantileversheetpilewallsinsandysoilWatertableisatgreatdepth
pa=kaH
E
EFpp = 0 p= p
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Netpressure
pp 0 p p
AreaGOEFiscommon
Dr.PVSNPavanKumar
CantileversheetpilewallsinsandysoilWatertableisatgreatdepth
1)Atpoint,OPassivepressure=
Activepressure
Determiney0
Pay
2)0=H
11J
PaareaofFig.BAOJ
22 00 =++ pp ppa
ExpresshintermsofD0
3) 0= pileofbaseaboutMoment
32
1)( 0000 ++
DDDkDyPa
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03
)(21 =+ hhpp pp
Substituteh obtainedinstep2instep3.DetermineD0,depthofembedment,D=D0+y0Dr.PVSNPavanKumar
CantileversheetpilewallsinsandysoilWatertableisatgreatdepth
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Dr.PVSNPavanKumar
CantileversheetpilewallsinsandysoilWatertableisatgreatdepth
Equationissolvedbytrailand
error.Obtaineddepth,Dmaybe
increasedby20to40%.
MaximumBendingMoment
MaxB.Moccursatapointof
zeroshearatdepthx,below
.
P
xxkP
a
a
21 2
==
31)( kxxyPa +
Maximumbendingmoment=Mmax
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bfMmaxSectionModulus,Zs= fb=allowableflexuralstressofsheetpile
Dr.PVSNPavanKumar
CantileversheetpilewallsinsandysoilWatertableisatgreatdepth
Fourthorderdegreeequation
isquitelaborious.Passiveearthpressure, is
replacedbyconcentratedforce
R.
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Actualpressurediagram AssumedsimplifiedDr.PVSNPavanKumar
CantileversheetpilewallsinsandysoilWatertableisatgreatdepth
Takingmomentofforcesabout
baseofsheetpilewall,
where
substituteandresultingeqn.is
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Assumedsimplified
SolveforDandincreaseby20%Dr.PVSNPavanKumar
Cantileversheetpilewallsinsandysoil
Watertableisatshallowdepth
11 hkp a=
21 hkhkp baaa +=
y0 isdepthbelowdredge
eve w erene pressure=
0Dkp pp =B
Dkhhkp bpp ++= )( 21J
Pa
areaofFig.BAJO
PointofapplicationofPay
Take 0=H
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Dr.PVSNPavanKumar
CantileversheetpilewallsinsandysoilWatertableisatshallowdepth
Passivepressure atpointo
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bendingmomentiscalculated.DepthDcomputedshouldbeincreasedby20to40percent.Dr.PVSNPavanKumar
FreeStandingCantileverSheetPileWall
Penetratin
Cla
uqcp 24 == uqcp 24 ==
quunconfinedcompressivestrength
0=H
1
042
2 =+ qqP uu
shearzeroofpotoDepthq
Pint
2==
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Dr.PVSNPavanKumar
FreeStandingCantileverSheetPileWall
Penetratin
Cla
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Dr.PVSNPavanKumar
CantileverwallsincohesivesoilActiveearth ressure,
paatadepthzis
aaa kczkp 2=
Passivepressure,ppat
adepthyis
app
kczkp 2+=
Activeearth ressure
actingtoleftatdepthHis
aaa kcHkp 2=
ua
a
qHp
cHp
=
==
2,0
f
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qu=UnconfinedcompressivestrengthDr.PVSNPavanKumar
Cantileverwallsincohesivesoil
Pass vepressureact ng
towardsrightsideatdredge
level
up qcp ==2
atdredgelevel
HqqHqq uuun == 2)(
Netpressuretowardsrightat
dredgelevelatdepthy
)2)((2 cyHcyppq apn ++==
= un
P i
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Pressureremainsconstant
atalldepthDr.PVSNPavanKumar
Cantileverwallsincohesivesoil
onbackfillsidetowardsright
Atbottomofwall
cDHpp 2++=
=a
un qHcHp 24 +=+=
=0H
12
uua
au PDHqh )2(
=
u
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Dr.PVSNPavanKumar
Cantileverwallsincohesivesoil
Forequ r um,moments
aboutbaseshouldbezero
D
03
42
1
2
=
++
hhq
qy
u
ua
Substitutinghinaboveequation
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Dr.PVSNPavanKumar
Cantileverwallsincohesivesoil
equationisincreasedby20
to40%
Maximumbendingmoment
occurswithinthedepthDh
.
Let bethedepthbelowdredgelevelwhereshearforce
iszero
P
ypyP a
a == 00 0
p
)( 000maxy
ypyyPM a +=
F rther section mod l s
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Furthersectionmodulus
isdetermined.Dr.PVSNPavanKumar
Cantileverwallsincohesivesoil
Backfillis
Sand
with
Water
Table
at
Great
De th
Hkp aa =
dredgelevelNetpressureatbaseofwall
cHcppp ap == )2(2
actingtowardsright
qu =
Thisremainsconstantalong
Netpressureatbaseofwallacting
towardsleft
ap cDcDHppp )2(2)( ++
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u
ap
qHcDcDHppp
2)2(2)(
+=++==
Dr.PVSNPavanKumar
Cantileverwallsincohesivesoil
11 hkp a=
21p baaa +=
HqcHcp u == 2)2(2
Hq
cDcDHp
u
+=
++=
2
)2()2(
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Dr.PVSNPavanKumar
Thefigure4belowshowsacantileverwall. 1 , 2 ,=16kN/m3,sat=18kN/m
3 andC=35kN/m2 and= .
pilewall(Nov/Dec2012).
ofthedredgelevelis9m.Thewaterlevelinthebackfillisat2mfromtop.Findthedepthofpenetrationrequiredforafactorofsafetyequalto1.Assumethatabovethewatertable,thesoil
isdry.Theotherpropertiesofsoilare:sat=20kN/m3,Ka=0.33,Kp=3.0,Gs=2.6.(June2010,Set
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Dr.PVSNPavanKumar
Fi 4
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Figure4Dr.PVSNPavanKumar
Acantileversheetpileistobeconstructedto.weightofsandis16kN/m3 andthesaturated
3 .resistanceofsandis32.Thewaterlevelis3mabovethedredgelinecomputethedepthofembedmentofthesheetpile(June2010Set3).
ComputetheembedmentlengthDofthesheet
pilewallinagranularsoiltoretaingranularsoilof6mhighononesidewithunitweightof20 N m an ang eo s earingresistanceo 30 .Watertableisatadepthof3mfromthetopof
.
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Dr.PVSNPavanKumar
7 a) Fig.7 shows a cantilever sheet pile wall penetrating a granular
soil. What is the theoretical depth of embedment?
b) What should be the minimum section modulus of the sheet piles
for the Fig.7 shown below. Assumeall = 172 MN/m2.
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Dr.PVSNPavanKumar
AnchoredSheetpilewall eses ee p esares a e ue opass ve orce
andanchorforce.
Depthofembedmentisless.
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Dr.PVSNPavanKumar
Anchoredsheetpile
changesitscurvatureat
point,I
Freeearthsu ortmethod Fixedearthsupportmethod
FixedendFreeend
Lower end B is simply supported and
soil into which sheet pile is driven
Soil into which sheet pile is driven
exerts a large restraint on lower part of
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soil into which sheet pile is driven
does not produce effective restraint
exerts a large restraint on lower part of
sheet pile causes change of curvatureDr.PVSNPavanKumar
AnchoredSheetpilewall
FreeearthsupportmethodCohesionlesssoil
1) p1=kah
2) Atpoint0pn=0
ka (h+a) k a=0
a
a
kk
hka
=
3) At point A p = k (a+b) k (h+a+b) p = k b
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3)AtpointA,pn kp(a+b) ka(h+a+b)pn kbDr.PVSNPavanKumar
AnchoredSheetpilewall
FreeearthsupportmethodCohesionlesssoil
4)H=0,P1 P2 T=0 2
22
1bkP =
5)Momentaboutanchorrod=0
P1(h+aeZ1) P2(h+ae+2b/3)=0x
Fromstep4and5determinedepthof
,
6 Maximumbendingmomentoccursbetweenpoint
Manddredgelevel,whereshearforceiszero
,wherexisdistanceofpointfromtopof02
2
= Txka
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, p pbackfillwhereshearforceiszero
Dr.PVSNPavanKumar
AnchoredSheetpilewall
FreeearthsupportmethodCohesivesoil
Atdredgelevel,infrontofsheetpile
pn=pp pa=2c (h 2c)=4c h
At ointA
pn=pp pa=(2c+d)
H=0P1 P2 T=0
Momentaboutanchorrod=0
P1xf P2x(h+d/2e)=0
SolvefordandT
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Dr.PVSNPavanKumar
Tutorial
depth of embedment of
sheet pileshown in Figure.Determ ne orce
in anchor permeter of wall.Assume freeearth support
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Dr.PVSNPavanKumar
AnchoredSheetpilewall
Fixedearthsu ortmethod
h
h
Deflectioncurvechangesits
curvatureatpoint,I
d
Fixedend
NetPressure
diagram
D PVSN P K
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Dr.PVSNPavanKumar
AnchoredSheetpilewall
Fixedearthsu ortmethod
h h
Equivalent Bending
Net
Pressure
diagram
diagram
L ti f di i l d b t t d f R t i t k
eam
method
Diagram
Dr PVSN Pavan Kumar
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Lowerportionofpressurediagramisreplacedbyconcentratedforce,RkatpointkDr.PVSNPavanKumar
AnchoredSheetpilewall
Fixedearthsu ortmethod Exactanalysisofanchoredsheetpilebyfixedearth
.
Equivalentbeammethodisused Sheetpileissimply
Depthofpointofinflexion,i isdeterminedfromfollowingchart.
Dr PVSN Pavan Kumar
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Dr.PVSNPavanKumar
AnchoredSheetpilewall
Fixedearthsu ortmethodUpperBeamBI
Determinepressurep atdredge
level
Determineifromchart
Determineapointofzeronet
pressure= =n p a ,
determinea
Determinepressureatpointof
inflexionfromrelation
ForbeamIBtakemomentsabout
reactionRIDr PVSN Pavan Kumar
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Dr.PVSNPavanKumar
AnchoredSheetpilewall
Fixedearthsu ortmethodBeam IK
Determine pressure p2 from
p2=(kp ka) (da)
I ,equal and opposite to that acting
on beam BI.
Consider moment of forcesacting on beam IK about k anddetermine da and d.
Determine tension T in anchorby considering equilibrium ofbeam IB.
I= 1
P1total force due to pressure on IBDr. PVSN Pavan Kumar
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1 p Dr.PVSNPavanKumar
Tutorial
Determine the
depth of
the anchored
sheet ile
shown in
Figure. Also
determine
force per meter
.fixed end
conditions.Dr.PVSNPavanKumar
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Anchoragesforbulkheads
knownasdeadmen oranchorsaretiedtosheetpile.
Anchorsoffer assiveresistance.
Waleisabeamplacedatfrontorback
sideofsheetpileattachedtothe
anchoredbeamorblockwithanchor
rod.Dr.PVSNPavanKumar
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Anchoragesforbulkheads
Anchorblocksmaybesupportedbybatteredpiles.Theseareemployedwhenthesoilbelowisfirmat
.
Shortsheetpilesaredriventoformacontinuous
pressureDr.PVSNPavanKumar
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Anc orages or u ea s
Sheetpileistiedtoalargestructure
oca ono anc or
NoresistancefromanchorDr.PVSNPavanKumar
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Locationofanchor
Two sliding wedges interfere with each other.
Efficiency of anchor decreases
Full capacity of anchor will be available
if the active wedge of backfill do not interfere
with passive sliding wedge of anchor.
ea man s ocate e ow ne ae ma ng an
angle with the horizontal.Dr.PVSNPavanKumar
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Capacityof
anchor
Anchornear Anchoratlarge
B>5h,Long
anchor
B5h,Long B
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soil soil soil soil soil
CapacityofanchorTen 1962 avethefollowin e uationsforcalculatin ultimate
resistanceofanchorlocatedatorneargroundsurface.
Assumedthatanchorextendstogroundsurface
B=Lengthofanchor,h=heightofanchor,H=depthofbottomofanchorfromground
Dr.PVSNPavanKumar
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Capacityofanchor a esor eamsw
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Capacityofanchor
surfaceisequaltobearingcapacityoffootingatdepth
Ultimatehorizontalresistanceofanchoris 2
hh +
A . , . , .
=Unitweightofsand
A=Areaofanchorplate=bh,h=heightofplate,b=widthofplate
H=Depthfromgroundsurfacetobottom
=Angleoffrictionofsoil ,
. , . , . plate
Horizontaldisplacement,uatanyloadlevelTis
Dr.PVSNPavanKumar
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BracedCuts
orcons ruc onexcava onsare
necessary.TheseexcavationsSheeting
s a econs ruc e a sa eslopeangleifsufficientspaceis
Wale Struts
ava a e.
Fordeepexcavationsinbuiltup
areasadequatespacemaynot
beavailableandthecostof
earthworkwillbehuge.
Excavationslaterallysupported
arecalledbracedcuts.Dr.PVSNPavanKumar
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Typesofsheetingandbracingsystems
sheeting consisting of
timber planks of about 8
to 10 cm thick are
driven around theboundary of excavation
to some depth below
Soil between the sheeting is excavated. Sheeting is held in place by a system of
excavation.Verticaltimbersheeting
.
Wales are horizontal beams running parallel to the excavation wall. Wales are
supported by horizontal struts extended from side to side of excavation.
known as rakers.
If soil can stand unsupported to a limited depth, sheeting can be installed in open
.
Vertical timber sheeting are economical to a depth of 4 to 6m.
Dr.PVSNPavanKumar
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Typesofsheetingandbracingsystems
Inthismethodsteelsheet
pilesaredrivenalongthe
excavation.
Asthesoilisexcavated
andstrutsareinserted.
Walesaremadeofsteel
Steelsheetpiles
Strutsmaybesteelor
timber
sexcava onprocee sano erse o wa es an s ru sare nser e .
Processiscontinuedtillexcavationiscompleted.
Topreventlocalheavessheetpilesaredrivenseveralmetersbelowthe
excavation
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Typesofsheetingandbracingsystems
SoldierBeams
Dr.PVSNPavanKumar
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Typesofsheetingandbracingsystems
SoldiersbeamsareH
pilesdrivenata
spacingof1.5mto2.5maroundthe
boundar of
excavation.
Asexcavation
procee s or zonta
timber plankscalled
laggingsareplaced
betweensoldier
beams.
SoldierBeams
sexcava ona vanceswa es an s ru sarep ace .
LaggingisproperlywedgedbetweenpileflangesDr.PVSNPavanKumar
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Typesofsheetingandbracingsystems
Steps involved in construction of tieback
a Inclined Holes are drilled into soil or rockb) Tensile reinforcement cable, Bar or tendon is inserted in the hole
c) Concrete poured for anchor
d) wall connection made
Tieback
This method does not have struts or inclined rakers and no hindrance to
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Slurrywall
Slurry trench or wall is
Trench surrounding an open
of bentonite and water
They are useful in areas where
so t soi is existing at groun
surface with high water table.
Slurry produces a pressure that
counteracts the hydraulic pressure
from surrounding soil that would
inconvenience to construction
process.Slurrywall/trench
Concretewallsareconstructedaroundtheexcavationbyplacing
reinforcementinbentonite andconcreting.Dr.PVSNPavanKumar
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Lateralearthpressureonsheeting
Rankine andcoulombtheory
lateralpressureonsheetpileas
retainingwallsrotatingabout
Sheetingandbracingsystemis
ofwall.
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Lateralearthpressureonsheeting o ow ngapparenteart pressure agramson
sheetingbasedonfieldstudiesispresentedby, .
HomogenoussoilDr.PVSNPavanKumar
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Lateralearthpressureonsheeting,
Equivalentcohesionofsandandclaylayers
'2
Hc usssss
e 2
=
Kslateralearthpressurecoefficient
quuncon ine compressivestrengt
ncoefficientofprogressivefailure
HHH +
Equivalentunitweight,e
He =
Anyofthediagramshownaboveisusedtodetermineearthpressure
Nonuniform
soilDr.PVSNPavanKumar
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Lateralearthpressureonsheeting
Bracedcutpassesthrough
anumberofcla la ers
Equivalentvaluesare
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Designofstruts
trutss ou avem n mumvert ca spac ngo .5m.Dept o
firststrutinclaysoilshouldbebelowthedepthoftensioncrack.
sheetpilesarehingedatstrutlevelexceptattopandbottom.
Spanad
Md=0,DetermineR1H=0,DetermineR2
Spandf
Mf=0,DetermineR2
H=0,DetermineR3
= 2 2 2
Strutload,P1=R1xS,P2=R2xSwhereSishorizontalspacingSuitablesectionsofstrutsaredesignedtocarryloadP1,P2.Dr.PVSNPavanKumar
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Designofwales
Walesarehorizontalbeamspinnedatstrutlevel.
Maximumbendingmomentwilldependonstrut
loadandspan,S. 21SR=
Forsecondwale
8max
2
1max SRM =
Sectionmodulus,z=all
M
max
Sheetpiledesign:Anappropriatesectionis
identifiedforthesheet ilebasedonthe
maximumbendingmomet andallowablebendin stress.
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Otheraspectsofdesignofbracedcuts
Incaseofclaythebottomofthecutmayheave
andisat eofbearin ca acit roblem.
Insandheavingfailuremaynotoccur.Butthereis
levelssurroundingarelarger.
settlementinthesurroundingarea.Thisshould
adopted.
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ASSIGNMENTQUESTIONS1. How do ou desi n the bulkheads b free earth su ort
method?
2. What are the different types of sheetings and bracing
systems for braced cuts and describe them?3. The height of a cantilever sheet pile from the top of the
dredge level is 9m. The water level in the backfill is at
2m from top. Find the depth of penetration required fora ac or o sa e y equa o . ssume a a ove e
water table, the soil is dry. The other properties of soil
sat , a . , p . , s . .4. Discuss the procedure for checking the stability of a
.
5. Discuss various methods for providing anchors for asheet ile wall.
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UnitVII
CaissonsWellFoundations
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Syllabus
Caissonsandwellfoundations:
Wellfoundations
Differentshapesofwellfoundation
Componentsofwellfoundations
Functionsanddesign
Sinkingofwells
LateralstabilitybyTerzaghi analysisDr.PVSNPavanKumar
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Caissonsorwellfoundations
Pier
Well
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Caissonsorwellfoundations
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Bridge
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Bridge
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Bridge
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Bridge
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Bridge
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Bridge
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Bridge
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Cofferdamcofferdamisdefinedasatemporarystructurewhichisconstructedsoas
toremovewateran orsoi romenc ose areaan ma eitpossi eto
carryontheconstructionworkunderreasonablydrycondition.
T esofcofferdam
SinglesheetpilewallcofferdamEarthembankmentcofferdamDr.PVSNPavanKumar
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Embankmenttype
cofferdamfor
construction
ofearthdamDr.PVSNPavanKumar
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Cofferdam
Water
body
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Cofferdam
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CellularCofferdam
Dr.P