Effect of Pile Length on the Settlement and Straining Actions for the pile Raft foundation

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Effect of Pile Length on the Settlement and Straining Actions for the pile Raft foundation

ABSTRACT

The present study is mainly based on the determination of the effect of pile length on settlement and straining actions in the raft rested on piles and the effect of the contact of the raft to the soil under the effect of static load and dynamic load. The pile diameter is fixed (D = 0.5 m), and spacing between piles are fixed (Sp = 4.5D) with various pile length (Lp = 28D, 32D, 36D, and 40D). The thickness of the raft is 1.00 m and the dimensions of the raft are 10*10 m Theboreholethatwaschosentobe used in the analysis of soil consists of six layers which are Silty sand and traces of clay, Silty sand, medium stiff clay, and dense sand, and is simulated by a semi-infinite element. Finite element package of a PLAXIS 3D version 2013. (a finite element code for soil and rock analysis) has been used to determine the bending moment, the shear force on the raft, and the settlement. Inthecaseofpiledraftrestingonthesoil,itwasfoundthatthebendingmomentintheraftdecreased by29%, the shear force in the raft decreased to 0.5% and the settlement of piled raft decreased 40% by increase the pile length undertheeffectofstaticload,thebendingmomentintheraftdecreasedby29%,theshearforceintheraftdecreasedto 0.5% and the settlement of piled raft decreased 40% under the effect of dynamic load . It found also that the bending momentintheraftinthecaseofaslabconnectedtothepilesisgreaterthanthecaseofpiledraftrestedonthesoilby 7%. In addition, the shear force in the raft as the slab connected the piles is larger than the rested piled raft by 2%. The settlementinthecaseofraftactasaslabconnectedtothepilesishigherthanrestedpiledraftby10%

Keywords:PileLength,PileRaftFoundation

1. INTRODUCTION

The straining action and the settlement in piled raft foundationareaffectedbymanydifferentfactorssuchas pile length, pile diameter raft thickness, and type of soil buttoavaryingdegree.

Akinmusuru (1980) studiedtheeffectofpilelengthand raft geometry on piled raft load sharing. Experimental results on a single piled raft unit revealed that the raft share increases extensively by enlarging the raft width, whereasthepilelengthhasaninconsiderableimpacton loadsharing.

Clancy and Randolph (1993) determined an approach for the analysis of piled raft foundations based on the transferofaloadofindividualpiles,togetherwithelastic interaction between different piles and with the raft. They presented the effect of raft stiffness and spacing betweenpilesandpilelengthandstiffness.

Bisht, R.S. and Singh, B.(2012) presented a study on the behavior of piled raft foundation with various pile lengths it was found that settlements decrease with the increaseinpilelength.The maximumoverall settlement atthecenterofpiledraftdecreased

Elsamny, M. K. et al. (2018) presented a study on the analysis of pile-raft foundations non-rested and directly rested on the soil. A finite element was used in this study. The vertical displacement for the group of four pile caps rested on the soil. Vertical displacement for a group of four pile caps non-rested on soil It was concluded that the group efficiency of pile groups for piles cap rested on soil is more than that for piles caps non-restedonthesoil.Thegroupefficiencywasfoundto berangingfrom1.43to1.60forfourpilescaprestedon soil and was found to be ranging from 1.13 to 1.25 for four piles cap non-rested on the soil. The settlement of pilegroupsforpilecaprestingonsoilislessthanthatfor pilecapnon-restedonthesoil.

Elsamny, M. K. et .al (2020) Studied the effect of pile length on load sharing of pile raft foundation under differentloadsitwasfoundthatthestressesincreaseby increasing the pile length but at Lp ≥ 38D there is no significant effect. The load increase by increasing the lengthofthepileAlthough,theloaddecreaseafter(65to 70)%lengthofthepile.Theloadstransferredtosoilby friction increase by increasing pile length. The loads transferredtosoilbyendbearingdecreasebyincreasing pilelength

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2. Analytical Analysis by Finite Element Analysis:

The used computer program was for the proposal of a three-dimensionalfiniteelementpackageofaPLAXIS3D version 2013 model to simulate the theoretical effect of pile lengthinpileraftfoundation

2.1 Proposed model:

Inthepresentstudy,atheoreticalanalysishasbeendone foraselectedsite(inagovernmentalproject inSemesta city, Beni-suef, Governorate, Egypt).Fig. (1) illustrates a boreholefortheprevioussitethatwaschosentobeused in the analysis. The soil consists of four layers and is simulatedbyasemi-finiteelement

. isotropic homogenous elastic material. The analysis programconsistsofapiled-raft foundation consisting of 25 piles their diameters are fixed (D = 0.5m) and the spacing between piles is fixed (Sp = 4.5D) and they have various pile lengths (Lp= 28D,32D,36D, and 40D). Analysis carried out on two categoriesasfollows

 restedpiledraft

 raftactasaslabconnectedthepiles

Thedetailsandvariationsoftheseselected

parameters are listed in tables from (1) to (3). and figures(2)and(3)

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Description unconfined S.P.t endof legendof Depth QU or layer borehole (m) KN/m2 %Rec Siltysandandtraceofclay 2 1 2 Siltysand 4 3 4 mediumstiffclay 100 12 12 5 6 8 10 11 12 densesand 33 30 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
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Fig. (1): BoreholeLogforSoilusedSesmeta,Beni-SuefGovernorate,EgyptProje
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Table (1): Investigatedcasesofstudy
Parameters Name Silty sand and traces of clay Silty sand Medium to stiff clay dense sand unit Material modelMoher column Moher column Moher column MohercolumnThickness T 2 2 8 18 m Young,s modulus Es 7500 8000 3000 15000 kN/m2 Unitweight ɣ 17 16.6 17 18 kN/m3 Poissonratio ʋ 0.3 0.4 0.3 0.25Cohesion ϲ 25 12.5 30 0 kN/m2 Friction angle Ø 25 35 0 37 °
Table (2):PropertiesForSoilLayers
N0. Number ofpiles pile diamete r (m) The contact of the raft with the soil Length Ofthepiles Pile spacing Raft Thickness (m) 1 2 3 4 25 0.5 Rested on thesoil 28D 32D 36D 40D 4.5D 1 5 6 7 8 25 0.5 The raft act as a slab connected thepiles 28D 32D 36D 40D 4.5D 1 Parameters Pile Raft Material model Elastic Elastic Types of material Concret e Concrete Diameter (m) 0.5Raft thickness (m) - 1 Unit weight (kN/m3) 25 25 young’s modulus Es (kN/m2) 24*10^ 6 24*10^6 Poisson ratio (ʋ) 0.2 0.2
Table (3):pileandraftproperties
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Fig (2)planeofpiledraftfoundation Fig (3) Crosssectionofpiledraftfoundation restedonthesoil Fig (4)Crosssectionofpiledraftfoundationasraft actasslabconnectedthepiles

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Finite element model:

Figures (3) and (4) show the cross sections of the piled raftinthetwocasesrestedonthesoiland theraftactas aslabconnectedthepiles(Lp=32D,D=0.5mSp=4.5D)

3 -Parametric study

Theeffectofpilelengthonthefollowing:

i. Thesettlementofpiledraft

ii. Thebendingmomentontheraft

iii. Theshearforceontheraft

3. 1. Finite Element Results:

The obtained results of selected examples for different

casesareshowninfigures(6to17)asfollows:

Figure (6) and (7) shows the bending momentontheraftinthetwocasesrestedon thesoilandtheraftactasaslabconnectedto the piles from the soil ( Lp =32D, D = 0.5m, andSp=4.5D).

Figures(8)and(9)showtheverticaldisplacementofthe soilundertheraftinthe(x-y)plane(asshading)forthe twocases(Lp=32D,D=0.5m,andSp=4.5D).

Figures (10) and (11) show the verticaldisplacement of soilundertheraftin(x-z)plane(as shading)forthetwo cases(Lp=32D,D=0.5m,andSp=4.5D)

Figures(21)and(23)showtheshearforceon theraft forthetwocases(Lp =32D,D=0.5 m,andSp=4.5D

.

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Fig (5 ) Thedeformedmeshofpiledraftfoundation withpilelength16m
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Fig(6) Thebendingmomentofpiledraftrestedonthesoilwithpilelength32D
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Fig(7) Thebendingmomentofthepiledraftastheraftactasaslabconnectedtothepileswithpilelength32D
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Fig (8) Theverticaldisplacementofthesoilundertheraftinpiledraftfoundationrestedonthesoilwithpilelength32D
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Fig(9) Theverticaldisplacementofthesoilundertheraftofpiledraftfoundationasraftactasslabconnectedthepiles withpilelength32D
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Fig (10) TheverticalsettlementasshadingforthesoilintheXZplaneofpiledraftfoundation restedonthesoilwithapilelength32D
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Fig (11) TheverticalsettlementasshadingforthesoilintheXZplaneofpiledraftfoundationastheraftactasaslab connectingthepileswithpilelength32
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Fig (12) Theshearforceoftheraftforpiledraftfoundationrestedonthesoilwithpilelength32D
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Fig (13) Theshearforceoftheraftforpiledraftfoundationastheraftactasaslabconnectedthepileswithpilelength 32D

3. 2. Analysis of results:

Figures (14), (15) shows the relation between vertical settlementonthe raft in the two caseswithvarious pile length = where Lp = (28D, 32D, 36D, and 40D) for (D = 0.5 m), with raft thickness 1m in sec A. It can be observed that with increasing pile length from 28D to 40D the settlement decreases 40% in the case of piled raft rested on the soil and settlement decreased 35% in the case of piled raft with raft act as slab connected the pile.

Figures (16), (17) shows the relation between vertical settlementonthe raft in the two caseswithvarious pile length = where Lp = (28D, 32D, 36D, and 40D) for (D = 0.5 m), with raft thickness 1m in sec B. It can be seen that with increasing pile length from 28D to 40D the settlementdecreases38%inthecaseofpiledraftrested onthesoilandthesettlementdecreases35%inthecase ofpiledraftwithraftactasslabconnectedthepile.

Figures (18) and (19) shows the relation between the bendingmomentoftheraftinthetwocaseswithvarious pile length where Lp = (28D, 32D, 36D, and 40D) for (D = 0.5 m),withraftthickness=1minsecA.Itcanbe observed that with increasing pile length from 28D to 40D the bending moment in the raft decrease 29% in the case of piled raft rested on the soil and the bendingmomentintheraftdecreases20%inthecaseof piledraftwithraftactasslabconnectedthepile.

Figures (20) and (21) shows the relation between the bendingmomentoftheraftinthetwocaseswithvarious pilelengthwhereLp=(28D,32D,36D,and40D)for(D= 0.5 m), with raft thickness = 1m in sec B. It can be observed that with increasing pile length from 28D to 40Dthebendingmomentintheraftdecreasesfrom1%t to2%.inthecaseofpiledraftrestedonthesoilandthe bending moment in the raft decreases from 1% to 1.5% in the case of piled raft with raft act as slab connected thepile.

Figures(22), (23)shows therelation betweentheshear forceontheraftinthetwocaseswithvariouspilelength where Lp = (28D, 32D, 36D, and 40D) for (D = 0.5 m), withraftthickness1minsecAfromthesefigures,it canbeshownwithincreasingpilelengthfrom28Dto40 D the shear force on the raft decreased from 1%to0.5% in the case of piled raft rested on the soil and the shear force on the raft decreases from1%to0.5%. in the caseofpiledraftwithraftactasslabconnectedthepile.

Figures(24), (25)shows therelation betweentheshear forceontheraftinthetwocaseswithvariouspilelength

where Lp = (28D, 32D, 36D, and 40D) for (D = 0.5 m), with raft thickness 1m in sec B .it can be observed that with increasing pile length from 28D to 40D the shearforceontheraftdecreasesfrom1%to0.5%. inthe case of piled raft rested on the soil and the shear forceontheraftdecreasesfrom1%to0.5%.inthecaseof piledraftwithraftactasaslabconnectedthepile.

Figures (26), (27) and fig (38) show comparison in the settlement, bending moment and shear force between piled raft foundation rested on the soil and piled raft foundation with raft act as slab connected the piles where lp=28D and raft thickness(1m). it can be concluded that the settlement in the piled raft in the case of raft act as slab connected to the piles is greater than the case of rested piled raft by 10%, the bending moment in the raft in the case of a raft act as a slab connectedtothepilesisgreaterthanthecaseofarested piledraftby7%andtheshearforceina raft inthecase ofa raft actasa slabconnectedthe pilesis greaterthan inthecaseofarestedpiledraftby2%

Figures (29), (30) shows the relation between settlementonthe raft in the two caseswithvarious pile length = where Lp = (28D, 32D, 36D, and 40D) for (D = 0.5 m), with the effect of dynamic load and static load, with raft thickness 1m in sec A. It can be observed that with increasing pile length from 28D to 40D the settlementdecreases40%inthecaseofpiledraftrested on the soil and settlement decreased 35% in the case of piledraftwithraftactasslabconnectedthepile.

Figures (31) and (32) shows the relation between the bending moment of the raft with the effect of dynamic load and static load, in the two cases with various pile lengthwhereLp= (28D, 32D, 36D, and 40D) for (D = 0.5 m), with raft thickness = 1m in sec A. It can be observed that with increasing pile length from 28D to 40D the bending moment in the raft decrease 29% in the case of piled raft rested on the soil and the bending moment in the raft decreases from 20% in the caseofpiledraftwithraftactasslabconnectedthepile. Figures(33), (34)shows therelation betweentheshear forceontheraftinthetwocaseswithvariouspilelength where Lp = (28D, 32D, 36D, and 40D) for (D = 0.5 m),withtheeffectofdynamicloadandstaticload with raft thickness 1m in sec A from these figures, it can be shown with increasing pile length from 28D to 40 D the shear force on the raft decreased 0.5% in the case of piledraftrestedonthesoilandtheshearforceonthe raftdecreases0.5%.inthecaseofpiledraftwithraftact asslabconnectedthepile.

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Fig (14 )TherelationbetweenpilelengthandthesettlementofpiledraftfoundationrestedonthesoilatseccA
-0.09 -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0 0 2 4 6 8 10 set tlem e n t( m ) width of the raft (m) pile length 28D pile length32D pile length 36D pile length 40D -0.09 -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0 0 2 4 6 8 10 S e tt l e m e n t( m ) width of the raft (m) pile length 28D pile length 32D pile length 36D pile length40D International Research Journal of Engineering and Technology (IRJET) e-ISSN:2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN:2395-0072
Fig (15) Therelationbetweenpilelengthandthesettlementofpiledraftfoundationastheraftactasaslapat SECA.
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Fig(16)TherelationbetweenpilelengthandthesettlementofpiledraftfoundationrestedonthesoilatsecB.
-0.09 -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0 0 2 4 6 8 10 Settlem en t( m ) width of the raft (m) pile length 28D pile length 32D pile length 36D pile length 40D -0.09 -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0 0 2 4 6 8 10 s e tt le m e n t(m ) width of the raft (m) pile length 28D pile length 32D pile length 36D pile length40D International Research Journal of Engineering and Technology (IRJET) e-ISSN:2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN:2395-0072
Fig (17) TherelationbetweenpilelengthandthesettlementofpiledraftfoundationastheraftactatsecB
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Fig (18 ) Therelationbetweenpilelengthandthebendingmomentontheraftofpiledraftfoundationrestedonthesoil atSecA.
-1000 -800 -600 -400 -200 0 200 0 2 4 6 8 10 Ben d i n g mo me n t (kN .m/m ) WIDTH OF THE RAFT (m) pile length 28D pile length 32D pile length 36D pile length 40D -1000 -800 -600 -400 -200 0 200 0 2 4 6 8 10 B e n d i n g m o m e n t (K N .m / m ) width of the raft (m) pile length 28D pile length 32D pile length 36D pile length40D International
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Fig (19) Therelationbetweenpilelengthandthebendingmomentontheraftofpiledraftfoundationasthe raftactasslabconnectedthepilesatsecA
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Fig (20 ) Therelationbetweenpilelengthandthebendingmomentontheraftofpiledraftfoundationrested onthesoilatsecB
-1000 -800 -600 -400 -200 0 200 0 2 4 6 8 10 b e n d ing m om e n t (K N .m /m ) width of the raft (m) pile length 28D pile length 32D pile length 36D pile length 40D -1000 -800 -600 -400 -200 0 200 0 2 4 6 8 10 b e n d ing m om e n t(kN .m /m ) width of the raft (m) pile length 28D pile length 32D pile length 36D pile length40D
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Fig (21) Therelationbetweenpilelengthandthebendingmomentontheraftofpiledraftfoundationastheraftactas slabconnectedthepilesatsecB
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Fig (22) Therelationbetweenpilelengthandtheshearforceontheraftofpiledraftfoundationrested onthesoilatsecA
-4000 -3000 -2000 -1000 0 1000 2000 3000 4000 0 2 4 6 8 10 sh e ar str e ss (K N / m ) width of the raft (m) pile length 28D pile length32D pile length 36D pile length40D -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 0 2 4 6 8 10 sh e ar str e ss (K N / m ) width of theraft (m) pile length 28D pile length 32D pile length 36D pile length40D
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Fig (23) Therelationbetweenpilelengthandtheshearforceonaraftofpiledraftfoundationasraftactasslab connectedthepilesatsecA
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Fig (24) TherelationbetweenpilelengthandtheshearforceontheraftofpiledraftfoundationrestedonthesoilatsecB
-4000 -3000 -2000 -1000 0 1000 2000 3000 4000 0 2 4 6 8 10 s h e ar s tres s (K N /m ) width of theraft (m) pile length 28D pile length 32D pile length 36D pile length 40D -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 0 2 4 6 8 10 s h e ar Stres s (kN /m ) width of the raft (m) pile length 28D pile length 32D pile length 36D pile length40D International Research Journal of Engineering and Technology (IRJET) e-ISSN:2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN:2395-0072
Fig (25) Therelationbetweenpilelengthandtheshearforceontheraftofpiledraftfoundationastheraftactasslab connectedthepilesatsecB

Piled raft rested on the soil

piled raft with raft act as slab connected the piles

Piled raft rested on the soil

piled raft with raft act as slab connected the piles

Fig(27)showcomparisoninthebendingmomentintheraft betweenpiledraftfoundationrestedonthesoilandpiledraft foundationwithraftactasslabconnectedthepiles.

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Fig(26)showcomparisoninthesettlementbetweenpiledraftfoundationrestedonthesoilandpiledraftfoundationwith raftactasslabconnectedthepiles.
-0.09 -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0 0 2 4 6 8 10 s e tt le m e n t(m ) width of raft(m)
-700 -600 -500 -400 -300 -200 -100 0 100 200 0 2 4 6 8 10 Be n d in g mome n t(KN .m/ m ) width of the raft(m)
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pile length 28D static load

pile length 32D static load

pile length 36D static load

pile length 40D static load

pile length 28D dynamic

pile length 32D dynamic

pile length 36D dynamic

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Fig(28)showcomparisonintheshearstressintheraft betweenpiledraftfoundationrestedonthesoilandpiledraft foundationwithraftactasslabconnectedthepiles.
-4000 -3000 -2000 -1000 0 1000 2000 3000 4000 0 2 4 6 8 10 s h e ar s tres s (K N /m ) width of the raft (m) Piled
the soil piled raft with raft act as slab connected the piles -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0 0 2 4 6 8 10 set tlem e n t( m ) width Raft(m)
Fig (22 )Therelationbetweenpilelengthandthesettlementofpiledraftfoundationrestedonthesoilatsec A.Indynamicload
raft rested on
load
load
load

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pile length 28D static load

pile length 32D static load

pile length 36D static load

pile length 40D static load

pile length 28D dynamic load

pile length 32D dynamic load

pile length 36D dynamic load

pile length 40D dynamic load

pile length 28D static load

pile length 32D static load

pile length 36D static load

pile length 40D static load

pile length 28D dynamic load

pile length 32D dynamic load

pile length 36D dynamic load

pile length 40D dynamic load

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Fig (33) TherelationbetweenpilelengthandthesettlementofpiledraftfoundationastheraftactasaslapatSECAunder theeffectofdynamicandstaticload
-0.09 -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0 0 2 4 6 8 10 s e t t l e m e nt (m )
Fig (31)) Therelationbetweenpilelengthandthebendingmomentontheraftofpiledraftfoundationrestedonthesoil atSecA.undertheeffectofdynamicandstaticload width of the Raft(m)
-1000 -800 -600 -400 -200 0 200 0 2 4 6 8 10 be nd i ng m o m e nt ( k N .m /m )
width of the Raft(m)
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Fig (32) Therelationbetweenpilelengthandthebendingmomentontheraftofpiledraftfoundationastheraftactas slabconnectedthepilesatsecA. undertheeffectofdynamicandstaticload
-1000 -800 -600 -400 -200 0 200 0 2 4 6 8 10 be ndi ng m om e nt (K N. m / m ) width of the raft(m) pile length 28D static load pile length 32D static load pile length 36D static load pile length 40D static load pile length 28D dynamic load pile length 32D dynamic load pile length 36D dynamic load pile length 40D dynamic load -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 0 2 4 6 8 10 s he ar s t r e s s (kN /m ) width of the raft(m) pile length 28D static load pile length 32D static load pile length 36D static load pile length 40D static load pile length 28D dynamic load pile length 32D dynamic load pile length 36D dynamic load pile length 40D dynamic load
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Fig (33) TherelationbetweenpilelengthandtheshearforceontheraftofpiledraftfoundationrestedonthesoilatsecA. undertheeffectofdynamicandstaticload
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4. Conclusions:

Fromthepresentstudy,thefollowingsareconcluded:

i.In the case of rested piled raft increasing pile length leadsto

 Thebendingmomentintheraftdecreases29%

 Thesettlementdecreases40%ofpiledraftfoundation

 theshearforceintheraftdecreasesfromto0.5%

ii. In the case of a raft act as a slab connected the piles increasingpilelengthleadsto

 Thebendingmomentintheraftdecreases20%

 Thesettlementdecreases35%ofpiledraftfoundation

 theshearforceintheraftdecreases0.5%

iii. The comparison between the two cases piled raft rested on the soil and piled raft act as a slab connectedthepiles

 The bending moment in the raft in the case of a raft actasaslabconnectedtothepilesisgreaterthanthe caseofarestedpiledraftby10%

 the settlement in the piled raft in the caseof raft act asslabconnectedtothepilesisgreaterthanthecase ofrestedpiledraftby7%

 The shear force in a raft in the case of a raft act asa slabconnectedthepiles isgreaterthaninthecaseof arestedpiledraftby2%

iv. Theeffectofpilelengthwithdynamicforce

In the case of rested piled raft increasing pile lengthleadsto

 Thebendingmomentintheraftdecreases29%

 Thesettlementdecreases40%ofpiledraftfoundation

v.the shear force in the raft decreases from 0.5% In the case of a raft act as a slab connected the piles increasingpilelengthleadsto

 Thebendingmomentintheraftdecreases20%

 Thesettlement35%ofpiledraftfoundation

 Theshearforceintheraftdecreases0.5%

References:

1. Akinmusuru,J.O.(1980),InteractionofPiles andCap in Piled Footings, ASCE, Vol. 106, No. GT 11, pp. 12631268.

2. Bisht, R.S., and Singh, B. (2012) "Behavior Of Piled Raft Foundation By Numerical Modeling" SAITM Research Symposium On Engineering Advancements (SAITM–RSEA2012).

3. Clancy, P. and Randolph, M. F. (1993) An Approximate Analysis Procedure for Piled Raft

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Fig (34) Therelationbetweenpilelengthandtheshearforceonaraftofpiledraftfoundationasraftactasslabconnected thepilesatsecA.undertheeffectofdynamicandstaticload
-4000 -3000 -2000 -1000 0 1000 2000 3000 4000 0 2 4 6 8 10 s he ar s t r e s s (kN /m ) width of the raft(m) pile length 28D static load pile length 32D static load pile length 36D static load pile length 40D static load pile length 28D dynamic load pile length 32D dynamic load pile length 36D dynamic load pile length 40D dynamic load

Foundations, International Journal for Numerical and Analytical Methods in Geomechanics, Vol.17, No.12, pp.849.869.

4. Elsamny, M. K. and Abd EL Samee W. Nashaat and Essa. Tasneem. A (2018) "Analysis of pile-raft foundations non-rested and directly rested on soil" International Journal of Civil Engineering and Technology (IJCIET) Volume 9, Issue 3, March 2018, pp. 418

439.

5. Elsamny, M. K., Ezz-Eldeen, H. A., Elbatal, S. A. and Kamar, A. M. (2020)" Effect of Pile Length on Load Sharing Of Pile Raft Foundation under Different Loads" NEWYORKSCIENCEJOURNAL·July2020

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International Research Journal of Engineering and Technology (IRJET) e-ISSN:2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN:2395-0072

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