EG1109Report1024 tan yang 的冲突副本 1025.docx

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EG1109Report1024 tan yang 的冲突副本 1025.docx

EG1109Report1024tanyang的冲突副本1025

EG1109ProjectReport

BuildingaTrussBridge

Semester1

2013/2014

 

LinXunZheng(A0108337H)

NajibIndra(A0111308X)

MengDeren(A0119396U)

TanYang(A0119533H)

IshaanPakrasi(A0117853B)

 

INDEX

 

PageNo:

3-5

6

7

8

9

11-13

15

17

Introduction

Design

AdvantagesVSDisadvantages

Calculation:

TrafficLoad

Calculation:

DeckMass

Calculation:

TrussMembers

TableA:

CalculationofMaxForces

References

 

Introduction

Task:

ToperformapreliminarydesignforatrussbridgespanningacrosstheSingaporeRiver.Thedistancebetweenthe2banksisgivenas20m,theheightofthebridgeisrestrictedtobelessthan5mabovethebankand2mbelowthebank.

Thebridgewillsupportvehiculartrafficflowthatconsistsof4lanes.Inourcalculations,weusedtheweightof12fullyladenclass4vehiclestoestimatethemaximumhighesttrafficloadingthebridgewillfaceinitslifetime.

Thebridgewillsupportedatbankbyapinsupportononeendandarollersupportattheother.ThedeckofourbridgewillbeconstructedusingreinforcedconcretebasedoffSingapore’sconstructionstandards.Thedeckwillalsoincludeasteelgridinthecenterofthedecktoreinforcetheconcretedeck.

 

ThedesignofourbridgeissimilartotheiconicHoweTrussBridgestyle,whichwasinventedin1840byWilliamHowe(Nakate,2013).TheHowetrussismadeupofdiagonalandverticalmembers.Inthisbridge,thediagonalmembersslopetowardsthecenterinanupwardmannerandthediagonalwebmembersareincompressionwhiletheverticalwebmembersareintension(Boon,2011).

AccordingtoCalvert(2004),comparedtoothertrussdesigns,theHoweTrusshastheadvantageofsimplicitywithstrength.Unlikeotherinventorsofthetime,whoaddedsuperfluouselementstotheirdesignsonthebasisoffaultyunderstanding,WilliamHowereducedthenumberofmemberstoaminimum.Ifanymemberfails,thewholebridgecollapses.Thisimpliesthattheforcesineachmembercanbeuniquelydetermined,andthemembercanbeproportionedtobearitsloadsafely,i.e.thestructureisstaticallydeterminateandtheforcesdonotdependonthedetailsofconstruction.IntheoriginalHoweTruss,allmemberswereofwoodexceptfortheverticalties,whichwereironrodsthreadedattheendsandsecuredbynuts.Thebridgewasverysuccessful.

PicturesofexamplestheHoweTrussinuseareshownbelow–

Above:

TheJayBridgeisawoodencoveredbridgethatspanstheeastbranchofthe

AusableRiverinJay,inEssexCounty,NewYork,USA.ItiseligibletobelistedintheNationalRegisterofHistoricPlaces.Ittheonlyoneofthe29coveredbridgesinNewYorkStatethatisintheAdirondacks.

Above:

BNHoquiamRiverSwingBridge

(BRIDGEHUNTER.COM,2013)

Design

 

AdvantagesVSDisadvantages

Advantages

Disadvantages

∙Simplebutstillefficientandstrong

∙Minimummembers

∙Lessmaterialusedascomparedtootherelaboratetrussdesigns

∙Memberscanbeeasilyreplacedastrussmembersarestraightandofrelativelyequallengths

∙Lessstableoverlongdistances(howeverforourbridgedistanceisrelativelyshort)

∙Noteconomicaltousesteelmemberstohandlecompressiveforces.

 

Calculations

TrafficLoad

Forthe4lanebridge,eachlanewillbe3mwideandtherewillbeasidelaneofwidth1.5mforpedestriansorbrokendownvehicles.Thelengthofthelaneswillbe20mlong.

Ourtrafficloadisbasedoneachlanebeingtakenupby3Class4Vehiclesofmaxladenweightoflessthan7250kg(ClassesofDrivingLicence,2013).

Massoftrafficload:

Mass=7250x12=87000kg

W=87000xg=853470N

Deck

Thedeckismadeupofconcreteslab0.25mthickwithreinforcedsteelgridinthecenterwithadiameterof32mm.

Concreteslab:

Volume=(0.25mX15mx20)–1m3=74m3(wetakeaway1m3asvolumeofrodisas1m3)

DensityofConcrete=2400kg/m3

Massofconcreteslab=2400x74=177600kg

SteelRod:

Length=(40x15)+(30x20)=1200m

Volume=(0.016)2xπx1200=0.965m3

Mass=0.965m3x7850kg/m3=7575kg(roundof)

 

Totalmassofdeck=177600+7575=185000kg

Weight=185000x9.81=1814850N

 

TotalWeightofTrafficLoadandDeck=1814850+853470=2668320N=2670000N(3sf)

 

 

 

TrussMembers:

 

Forthewholebridge,

Fx=0

Fy=0=>Ay+Ey=Wtot

ForjointA

=>Ey=

=>Ax=Ey=

=>

=>

ForjointF

=>

=>

ForjointE(sameasjointA),jointH(sameasjointF)

ForjointC,

=>

=>

ForjointG,

=>

=>

=>

 

Fromthiscalculations,

MaximumTensileForcemembersareFBC,FCDandFCGandthemagnitudeisequaltoWtotwhichisthetotalweightofthebridge.

MaximumCompressiveForcemembersareFBGandFDGwiththemagnitudeof

.

 

TableA

AnalysisofTableA

TableAtakesinthedifferentrangesofdiameteroftrussandthethickness.Withthisvaluesweareabletocalculatetheweightofthetrussmembersandthustotalweightofthebridge,Wtot.WithWtotwecanthencalculatethemaximumcompressiveandtensileforcesinthetrussasshownabove.Next,wetookthoseforcesandmultiplieditwiththesafetyfactorof1.2andcalculatedthestressofthosemaximumforces.Wethencomparethisstressvalueswiththeacceptedyieldstressof0.85yieldstrengthfortensileforcesand0.7yieldstrengthforcompressiveforces.Ourgrouphaschosenthediameterof406.4mmandthicknessof16mmbecauseitproducesthesmallestdifferencebetweenmaximumcompressive/tensilestressesandacceptablestressasdefinedbytheyieldstrength.

Dimensions:

d=406.4mm

t=16mm

 

References:

Boon,G.(2011).ModelBridgeDesign.Retrievedfrom

BRIDGEHUNTER.COM.(2013).HoweTruss.Retrievedfrom

Calvert,J.B.(2004).EarlyEvolutionofTrusses.Retrievedfrom

http:

//mysite.du.edu/~jcalvert/tech/truss.htm

ClassesofDrivingLicence.(2013)Retirvedfrom

http:

//driving-in-singapore.spf.gov.sg/services/driving_in_singapore/services/information.html

Nakate,S.(2013).TrussBridgeDesign.Retrievedfrom

 

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