STRUCTURAL ANALYSIS OF BRIDGES AND PILE FOUNDATION SUBJECTED TO SEISMIC LOADS

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STRUCTURAL ANALYSIS OF BRIDGES AND PILE FOUNDATION SUBJECTED TO SEISMIC LOADS

M Tech, PAHER University Udaipur Assistant Professor, PAHER University Udaipur

Abstract - An Effect of various materials of pile foundation of bridges in response of the seismic loading condition has to be monitored. Such an analysis was required to verify the performance of each structure acting under seismic loads. In this study, a numerical model is developed to evaluate both bridges and pile foundation performance with respect to varying seismic loading conditions. Specifically speaking to evaluate the performance of various structural materials used as pile foundation for bridges against seismic loads. The vibrational behavior of the bridge was also evaluated on the basis of seismic loads on the structure. Furthermore, pile foundation of the bridge was modeled along with combination of soil in order to analyze the behavior of the structure with soil. Also the bridge pile foundation of different structural material namely structural steel, carbon fibre reinforced steel and epoxy fibre reinforced steel were modeled using ANSYS software. It was observed that Carbon fibre reinforced structural steel is superior in performance as compared to that of the structural steel and epoxy fibre reinforced structural steel in both pile foundation as well as development of bridge structure. Maximum nodal displacement for bridge structure with respect to seismic load conditions for different materials were Carbon fibre structural steel as 63.104 mm, Epoxy fibre structural steel as 69.992 mm and Structural steel as 70.091 mm respectively.

Key Words: Carbon fibre structural steel, Epoxy Fibre Structural Steel, ANSYS.

1 INTRODUCTION

Thesesoilpressuresmaycomefrompilesettlement,soilswelling,orpassiveresistancesbroughtonbylateralstresses thesuperstructuretransmitstothepilecaps.Iftheearthdirectlybeneathabuilding'sbaseisincapableofsupportingthe structure,pilesmaybeusedasafoundation.Apilefoundationmaybetakenintoconsiderationifthefindingsofthesitestudy indicatethattheshallowsoilisweakandunstable,orifthesizeofthepredictedsettlementisunacceptable.Additionally,acost estimatecanshowthatapilefoundationislessexpensivethananyothergroundimprovementcoststhatarebeingevaluated. Therearevariouswaystoarrangepilessotheycansupportloadsthatareplacedonthem.Itispossibletobuildverticalpilesto supportbothlateralandverticalloads.Rakingheapsandverticalpilescanbeusedincombination,asneeded,tosustainboth horizontalandverticalforces.Ifapilegroupissubjectedtoverticalforce,thetotalloadisconsideredtobedividedbythe numberofpilesinthegroup,whichisusedtocalculatethedistributionofloadonasinglepilethatisapartofthegroup.Butif agroupofpilesisexposedtolateralload,eccentricverticalload,oracombinationofverticalandlateralload,thegroupmay experiencemomentforce.

Due to the increase in urban population, underground rail transit has developed into one of the main modes of transportation[1].Themajorityofsubwaystations,whichactasthehubsoftransportationforundergroundrailnetworks,are situated in hilly, heavily populated urban regions. One of the biggest issues that regularly affects subway stations during constructionisgroundsurfacesettlement[2-4].Thesebuildingsusuallyhavedeeppilingfoundations,whichmightimpedethe constructionofpipelinesandotherundergroundconstructionslikesubways[5].Pilefoundationshavebeenconstructedfor numerousprojects,includinghigh-risestructures.Itisfrequentlynecessarytousepilefoundationunderpinningtotransferthe existing pile foundation's weight properly in order to maintain the stability of the top construction technology. Thus, undergroundtransportinfrastructures,likesubwaytunnels,areprogressingsmoothly[6].

2 LITERATURE REVIEW

Inordertogeta actual knowledgeofthevarious seismicdesignandpushoverinvestigationapproaches,various researcharticles,designcodesandrelevantbookswerescrupulouslystudiedtounderstandtheeffectofseismicparameterson design&detailingofRCbuildings.Thishelpedindecidingobligatorymodelingmethodsandparameterstobeusedinseismic investigationandcomparisons.KumarandRao(2002)havecarriedoutcorrespondingstationaryinvestigationforafive(G+4) storiedRCbuildinginordertomatchuptothevariationofpercentagesteelwhenthebuildingisdesignedforgravityloadsas perIS456:2000andwhendesignedforearthquakeforcesinalltheseismiczonesasperIS1893:2002.Samyog(2013)has doneastudywhichinvolvescostcomparisonofRCCColumnsinidenticalbuildingsbasedonnumberofStoriesandSeismic

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Zones.Thisworkpresentsthatthedetailingofcolumnsofabuildingcoveringcertainplinthareavariesforacombinationof storeyandseismiczone.Anotherfacetofthisstudyinvolvesperformanceevaluationofthedesignedbuildingsforvarious seismiczonesanddetailingprovisionsusingcomputerbased“PUSH-OVER”Analysis.Theneedofsuchanexercisehasbeen well illustrated byGhoshandMunshi(1998) in whichit hasbeenstated thattheaimofthedesigncodesiscardinallyto minimizethelifehazardsand Athanassiadouanalysestwoten-storeyedplanesteppedframesandoneten-storeyedregular framewhichweredesignedasperEurocode8forthehighandmediumductilityclasses.InthisworktheInter-storeydrift ratiosoftheframesandplastichingeformationincolumnsweremonitored.Inthiswork,theresultsofpushoveranalysiswere presentedusing"uniform”loadpatternaswellas"modal‟loadpattern.

Luetal.[8]discoveredthattheSAPconsolidationsettlementispositivelycorrelatedwiththePSSR.Thesettlement characteristicsofthestratumintheconstructionprocessarestudiedanddeterminedthereasonsforthedifferencebetween thenumericalandfieldmonitoringresults[13].ExperimentalstudyandDEMsimulationcarriedoutofthepush-uploadtests, wheresandplugsinsidesteelpipepileswerepushedupwardsusingarigidplaten;testresultsshowedthatthepush-upforce increased significantly with increasing aspect ratio and sand relative density [15]. Xu et al. [20] conducted a series of theoreticalanalysisandnumericalsimulationsoftheentireconstructionprocesstoverifytherationalityoftheschemeandto reducethepotentialconstructionriskofthetechnology.Parketal.[21]proposedandverifiedtheapplicationofthemodified underpinningmethod,whichcanreducetheconstructionperiodby1.5timesandtheconstructioncostby1.2timescompared withtheconventionalpilecuttingtechnology.Horikoshietal.[36]carriedoutaseriesofcentrifugetestsonpiledraftmodels embeddedinsandsubjectedtohorizontalandverticalloadingstostudytheloadsettlementbehaviourandtheloadsharing characteristicsbetweenthepilesandtheraft.Theeffectoftherigidityatthepileheadconnectiononthepiledraftbehaviour wasalsoexplored.FinnandFujita[49]usedanequivalentlinearmodelforsoilandbeamelementsforpilesintheir3Dfinite elementsimulationsofpilesinliquefiableground.ChengandJeremic[50],Luetal.[51]andChangetal.[52]usedplasticity models[53,54]forsandintheirsimulationmethodsandusedvariousdifferenttechniquestoconnectthebeamsrepresenting thepilestothesoilelementsinordertoreflectthegeometricpropertiesofthepiles.Wangetal.[55]developedafully 3D simulationmethodforpilesinliquefiablegroundbyusingsecond-orderhexahedronelementsforpilestocapturebothits physicalgeometryandbendingandusedaunifiedplasticitymodelforlargepostliquefactionsheardeformationofsand[56]to giveagoodaccountforthebehaviourofsaturatedsandunderseismicloading.ThesimulationmethoddevelopedbyWanget al.[55]wasvalidatedagainstaseriesofcentrifugeshakingtabletestsonsinglepilesinliquefiableground,andthenumerical simulationresultsshowedgoodagreementwiththetestmeasurements.

3 OBJECTIVES AND PROBLEM STATEMENT

Efficiencyofpilefoundationofbridgesagainsttheactionofseismicloadshasalwaysbeenamajorproblem.Duetolack ofinterpretationandknowledgeofparameterseffectingperformanceofbridgesfoundationstructuresunderseismicloading, designofthebridgesunderearthquakeishampered.Developmentofanumericalmodelbecomesveryessentialwhichcan illustratethephenomenonofearthquakeproperlyandwithlesscostitmakesbuildingreactapproximatelytosameconditions ithastoundergoatpracticallevel.

 Tostudyperformanceofbridgepilefoundationofstructuralsteelagainstseismicloadsindifferentzones.

 Tostudyperformanceofbridgesunderseismicloads

 Tostudythevibrationbehaviorofthebridgesunderseismicloadingconditions

 Toevaluatetheperformanceofvariousstructuralmaterialsusedaspilefoundationforbridgesagainstseismicloads

4 METHODOLOGY

Thebridgeismodeledfirstwithseismicloadsinordertoanalyzedifferentbehaviourofthestructurewithregardsto seismic loads. The vibrational behaviour of the bridge was also evaluated on the basis of seismic loads on the structure. Furthermore,pilefoundationofthebridgewasmodeledalongwithcombinationofsoilinordertoanalyzethebehaviourofthe structure with soil. Also the bridge pile foundation of different structural material namely structural steel, carbon fibre reinforced steel and epoxy fibre reinforced steel were modeled using ANSYS software. Different bridge structures were individuallysubjectedtostrongandtypicalearthquakes,orseismicstresses,fromvariouszonesinIndia.Seismicloadsof variouszonesweretabulated,alongwithagraphoftheirtime-acceleration.Suchvaluesservedastheboundaryconditionsfor theloadingconditionsappliedtothestructureusedintherelevantstudy.Itwasnotedthatseismicresearchwascarriedout withtheunderstandingthatthebuilding'sfootwassecurelyplantedinthegroundandthatitsterminalconnectionswere fastened.Theseismicinvestigationofthebuildingrevealedthatgravityloadsalsohadasignificantimpact.

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Figure4.1showsthemorphologyofthedesignthatisitrepresentsthemethodologyoftheprojectitwaseventually observedthatthebeginningandthemostimportantstepofanalysisofanybridgeismodelingofthebridgewithitscrosssectional frame and piles. In this stage it was realized that three different forms or shapes of bridge pile structure were presentedintheworkItwasobservedthatthecolumnsizeisof0.35mx0.45m,andthebeamsizeis0.23mx0.45m.material tobeusedwaspresentedintheformof:

UnitweightofRCC: 25kN/m3

UnitweightofMasonry: 20kN/m3 (Assumed)

Modulusofelasticity,ofconcrete:5000

Poisson'sratio: 0.17

Thedepthoffoundationis2mandtheheightofbridgeis5m.

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Figure1DesignmorphologyofBridgepilefoundationsubjectedtoseismicloads Figure2Collapsemechanismofstructureunderseismicloading Figure3Isometricviewofbridgestructure
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Figure4Pilefoundationinsidesoil Figure5MeshedmodelofBridge
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Figure6Meshedmodelofpileswithsoil Figure7BoundaryconditionofPierforsimulations Figure8BoundaryconditionofBridgeforsimulations

Figure4.8showsaboundaryandloadingconditionofbridgestructurewhichwasalsosubjectedtoseismicloadsin ordertoanalyzetheperformanceofsuchastructureundersuchvaryingandconditionalloadconditions.Thebridgestructure wasmadeupofstructuralsteel.

Figure4.9showsaloadingconditionofpilewithinteractionofthesoilwhichwasalsosubjectedtoseismicloadsin ordertoanalysestheperformanceofsuchastructureandalsotoevaluatehowtheinteractionbetweenthesoilandpileusually happensatthetimeofloadingandvaryingconditions.Furthermore,pileismadeupofdifferentstructurelikestructuralsteel, carbonfibrereinforcedsteelandepoxyfibrereinforcedsteel.

4.1 Boundary Conditions

Oneofthemostimportantwaystopre-processasimulationtaskistoprovideboundaryconditions.The framesystemboundaryconditionsassumedthebaseofthecolumntobefixed.Adhesivecontactwasprovided betweenallfacesoftheframepillarsthatwerejoinedtogether.Separationbetweenthejointsofthestructureisnot allowedsothattheloadisfullytransmittedthroughoutthestructure.Agravityloadwasappliedtothestructureto accountfortheeffectsofbuildinginertiaandgravityduringtheseismicanalysis.Seismicanalysiswasperformedas anexplicitdynamicanalysis.Buildingframeloadswereprovidedintheformoftimeaccelerationhistoryplotsfor differentseismiczones.

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Figure9Loadingconditionsofpilewithsoilfoundation Figure10TimevsaccelerationgraphforZoneIII

5 RESULTS AND DISCUSSION

Bridgestructureandpilefoundationwithsoilweresubjectedtoseismicloadingconditions.Bridgestructureandpile foundationwithsoilarethetwodifferentconditionsofthestructureswhichweresubjectedtohighdynamicseismicloads. Seismicloadsappliedwerealsovariedinthestructurewiththeaidoftimeaccelerationgraphobtainedfromthehistoryof differentzonesofearthquakeinIndia.

5.1 Modes of Deformation of Bridge Structure

Itwas observedthatbridgesstarttobehaveverynonlinearlyundertheinfluenceofverydynamicseismic loads. Structuralnonlinearityoccursintallbridgesregardlessoftheshapeofthebuilding.Incaseofseismicloadingofthestructure resultingfromdifferentearthquakezones,thenon-linearityofthestructureremainsalmostthesame,onlythesizeofthe deformationvaries.

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Figure11TimevsaccelerationgraphforZoneIV Figure12TimevsaccelerationgraphforZoneV AbovegraphsrepresentthetimeaccelerationgraphusedforaparticularIndianregionalearthquakezonenamelyZoneIII, ZoneIVandZoneV.

Itwasobservedthatforbridgestructurewithstructuralsteelseismicanalysishastobeperformedbydynamicmodes thenonlyaccurateresultswerepossible.Figure5.2showsthemodesofdeformationofthestructurewhensubjectedtohighly unstableseismicloads.Itwasobservedthatstructureundergoesatoandfromotioninthehorizontaldirectionwithtimewhile themagnitudeofthedisplacementwasdirectlyproportionaltotheintensityoftheearthquake.Itwasclearlyvisiblethatthe structure(ofanyshape)hashigherdeformationinbridgestructurewithstructuralsteelascomparedtobridgestructurewith conventionalstructuralsteel.

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Figure13DisplacementvariationinBridgestructure Figure14Stressvariationinbridgestructure Figure15Stressvariationinbridgestructureofcarbonfibrereinforcedsteel

5.2 Bending Moment

WhenthemagnitudeoftheseismicloadsappliedwereasperthatoftimeaccelerationgraphofZoneIII.Allthree differenttypesofthebridgestructurenormalstructuralsteel,carbonfibresteelandepoxyfibrestructuralsteelbridgeswere subjectedtosameearthquakeloadasperZoneIIIaccordingtoIScodes.Itwasevidentthatstructuralsteelbridgeframetends tohavemaximumbendingmomentoncomparisontoothertwotypesofstructure.

III

5.3 Shear Forces in Seismic Loads

WhenthemagnitudeoftheseismicloadsappliedwereasperthatoftimeaccelerationgraphofzoneIII.Allthree differenttypesofthebridgestructurenormalstructuralsteel,carbonfibresteelandepoxyfibrestructuralsteelbridgeswas subjectedtosameearthquakeloadasperzoneIIIaccordingtoIScodes.Itwasevidentthatstructuralsteeltendstohave maximumshearforceoncomparisontoothertwotypesofstructure.

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Figure16DisplacementvariationincarbonfibrereinforcedsteelBridgestructure Figure17BendingmomentinbuildingsinZone

5.4 Displacement in Bridges When Subjected To Seismic Loads

WhenthemagnitudeoftheseismicloadsappliedwereasperthatoftimeaccelerationgraphofzoneIII.All threedifferenttypesofthestructurebridgestructurenormalstructuralsteel,carbonfibresteelandepoxyfiber structuralsteelbridgesassubjectedtosameearthquakeloadasperzoneIIIaccordingtoIScodes.Itwasevident thatstructuralsteeltendstohavemaximumdisplacementoncomparisontoothertwotypesofstructure.

Table1Nodaldisplacementinxdirection

MAXIMUM NODAL DISPLACEMENT (mm) IN ZONE III

Table2Nodaldisplacementinzdirection

MAXIMUM NODAL DISPLACEMENT (mm) IN ZONE III

ItwasobservedfromTable5.1.and5.2thatthemaximumdisplacementofthestructuralsteelframetendstohavethe largestnodaldisplacementinboththexandzdirectionscomparedtotheothertwostructuraltypes.Thestructuralsteelframe thereforebeginstobehave moreunstablewhen exposedtohighdynamicseismic loads,whiletheothertwoframetypes remainmorestable.

FactorofSafetyofthestructuralsteelbridgestructurewasfoundouttobeminimumof2.1whichwillbeconsideredat thesituationoftheseismicload.Furthermore,thecarbonfibrereinforcedsteelstructureandepoxyfibrereinforcedsteel structurewillhavefactorofsafetyof3.8and3.1respectively.Figure5.7showsthefactorofsafetypatternofthestructural steelstructurewithrespecttoseismicloads.

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Figure18MaximumshearforceinZoneIII
OF STRUCTURE IN X DIRECTION Carbon fibre str. Epoxy Fibre steel Structural steel Bridge structure 63.104 69.992 70.091
TYPE
TYPE OF STRUCTURE IN X DIRECTION Carbon fibre str. Epoxy Fibre steel Structural steel Bridge structure 63.104 64.928 70.091
Structural
Epoxy
Carbon fibre steel
steel
fibre steel

5.5 Design of Pile Foundation with Soil

Inthiscase,thedesignofpilefoundationusedinthebridgehasbeenseparatelyanalyzedinordercharacterizethe behaviourofthepilefoundationwithsoilundertheactionofseismicloads.Thesoilmodelwasmodeledwiththeformofa cuboidalboxof1mx1mx1mandthepilefoundationrodof1mlengthand350mmdiameter.Thepilewascharacterizedwith differentmaterials.Loadingconditionofpilewithinteractionofthesoilwhichwasalsosubjectedtoseismicloadsinorderto analyses the performance of such a structure and also to evaluate how the interaction between the soil and pile usually happensatthetimeofloadingandvaryingconditions.Furthermore,pileismadeupofdifferentstructurelikestructuralsteel, carbonfibrereinforcedsteelandepoxyfibrereinforcedsteel.

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Figure19FOSpatternforStructuralSteelBridge Figure20Stresspatterninpilesandsoilwithfoundationforstructuralsteel
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Figure21Displacementpatterninpilesandsoilwithfoundationforstructuralsteel Figure22Displacementpatterninpilesandsoilwithfoundationforstructuralsteel(Closeview)

23VariationbetweenCarbonfibrereinforcedsteelpileandstructuralsteelpiledesign

Itisclearlyevidentfromthefigure5.11thatthestructurefoundationofpileswithrespecttothedifferentmaterials performsindifferentforms.Itwasobservedthatthepilefoundationmadeupofcarbonfibremixedstructuralsteelperformed muchbetterascomparedtothatoftheconventionalstructuralsteel.

Itisclearlyevidentfromthefigure5.12thatthestructurefoundationofpileswithrespecttothedifferentmaterials performsindifferentforms.Itwasobservedthatthepilefoundationmadeupofcarbonfibremixedstructuralsteelperformed muchbetterascomparedtothatoftheconventionalstructuralsteelandthatofepoxyfibrereinforcedsteel.Thestructures weresubjectedtodifferentformsofloadingconditionswithrespecttodifferentseismicloadingconditions.Energyabsorption characteristicsandmaximumdeformationcharacteristicsofthestructurewasperformedandcomparedtoeachotherunder

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Figure Figure24Structuralperformanceofpileswithdifferentmaterialsindifferentearthquakezones

variableloadingconditionstoestimatetheperformanceofthestructure.ItwasobservedthattheenergyabsorbedbyCarbon fibrereinforcedstructuralsteelabsorbsthemaximumamountandenergyandundergoeslessdeformation.Therefore,Carbon fibre reinforced structural steel is superior in performance as compared to that of the structural steel and epoxy fibre reinforcedstructuralsteel.

6 CONCLUSION

Theeffectivenessofpilingfoundationsforbridgesagainstseismicloadshaslongbeenasignificantissue.Designofthe bridgesunderearthquakeisimpededbyalackofinterpretationandknowledgeofthecharacteristicsaffectingtheperformance of bridge foundation structures under seismic loading. The creation of a numerical model that can accurately depict the earthquakephenomenonanddosoatalowcostwhilesimulatingsituationsthatreal-worldbuildingswouldexperienceis crucial. Even though dynamic analysis is a laborious and time-consuming endeavor, practicality becomes crucial for a structure'sperformance andevaluationatits best.Itis necessarytoconsiderhow different pilefoundation materialsfor bridgesrespondtoseismicloadingconditionsweremonitored.Suchananalysiswasrequiredtoverifytheperformanceofeach structureactingunderseismicloads.Inthisstudy,anumericalmodelisdevelopedtoevaluatebothbridgesandpilefoundation performancewithrespecttovaryingseismicloadingconditions.

 Carbonfibrereinforcedstructuralsteelissuperiorinperformanceascomparedtothatofthestructuralsteeland epoxyfibrereinforcedstructuralsteelinbothpilefoundationaswellasdevelopmentofbridgestructure.

 Carbon fibrestructural steel pilefoundationundergoesa maximumdisplacementof 9mm,13.5 mmand 21mm respectivelyinZoneIII,ZoneIVandZoneV.

 Epoxyfibrestructuralsteelpilefoundationundergoesamaximumdisplacementof8.5mm,12mmand18.5mm respectivelyinZoneIII,ZoneIVandZoneV.

 Structuralsteelpilefoundationundergoesamaximumdisplacementof7.5mm,11mmand17mmrespectivelyin ZoneIII,ZoneIVandZoneV.

 FactorofSafetyofthestructuralsteelbridgestructurewasfoundouttobeminimumof2.1whichwillbeconsidered atthesituationoftheseismicload.Furthermore,thecarbonfibrereinforcedsteelstructureandepoxyfibrereinforced steelstructurewillhavefactorofsafetyof3.8and3.1.

 Maximumnodaldisplacementforbridgestructurewithrespecttoseismicloadconditionsfordifferentmaterialswere Carbonfibrestructuralsteelas63.104mm,EpoxyFibrestructuralsteelas69.992mmandStructuralsteelas70.091 mmrespectively.

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Figure25Structuralperformanceofpileswithdifferentmaterialsindifferentearthquakezones

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