Fiber Reinforced Beam - University of Alabama
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Fiber Reinforced Beam Competition Objective The objective is to use your knowledge of concrete materials to design the strongest fiber reinforced beam for flexural strength. Teams will attempt to use the most efficient cross-sectional design and use of fiber reinforcement in their beam to get the highest strength that is closest to their predicted strength. Eligibility One (1) team per school will be allowed to participate. Teams may consist of between two (2) and four (4) members with a maximum of one (1) graduate student. Materials • Portland cement must meet ASTM C150, but may be any subtype (Type I, II, III, etc.). • Other cementitious materials can be made up of any of the following: Fly Ash (ASTM C618), Slag Cement (ASTM C989), or Silica Fume (ASTM C1240). • Fiber Reinforcement must meet ASTM C1116. • Chemical admixtures must meet ASTM C494 and/or ASTM C260 • Coarse aggregates must meet the No. 67 or No. 57 gradations specified in ASTM C33 • Fine Aggregates must meet specifications in ASTM C33 Beam Dimensions • Length = 24 inches • Cross section of 6 inches by 6 inches with a tolerance of ± 0.1 inches • Does not have to be square cross section (i.e. I-beam) Logistics Each team’s beam will be tested using the third-point loading outlined in ASTM C78. Each beam will be judged in three categories: fiber use efficiency, strength, and strength prediction. Teams must fill out the mix design sheet in Appendix A and provide it to the judges when presenting the beam for testing. Teams must include their strength prediction on the mix design sheet.
Transcript of Fiber Reinforced Beam - University of Alabama
FiberReinforcedBeamCompetitionObjectiveTheobjectiveistouseyourknowledgeofconcretematerialstodesignthestrongestfiberreinforcedbeamforflexuralstrength.Teamswillattempttousethemostefficientcross-sectionaldesignanduseoffiberreinforcementintheirbeamtogetthehigheststrengththatisclosesttotheirpredictedstrength.EligibilityOne(1)teamperschoolwillbeallowedtoparticipate.Teamsmayconsistofbetweentwo(2)andfour(4)memberswithamaximumofone(1)graduatestudent.Materials
• PortlandcementmustmeetASTMC150,butmaybeanysubtype(TypeI,II,III,etc.).
• Othercementitiousmaterialscanbemadeupofanyofthefollowing:FlyAsh(ASTMC618),SlagCement(ASTMC989),orSilicaFume(ASTMC1240).
• FiberReinforcementmustmeetASTMC1116.• ChemicaladmixturesmustmeetASTMC494and/orASTMC260• CoarseaggregatesmustmeettheNo.67orNo.57gradationsspecifiedin
ASTMC33• FineAggregatesmustmeetspecificationsinASTMC33
BeamDimensions
• Length=24inches• Crosssectionof6inchesby6incheswithatoleranceof±0.1inches• Doesnothavetobesquarecrosssection(i.e.I-beam)
LogisticsEachteam’sbeamwillbetestedusingthethird-pointloadingoutlinedinASTMC78.Eachbeamwillbejudgedinthreecategories:fiberuseefficiency,strength,andstrengthprediction.TeamsmustfilloutthemixdesignsheetinAppendixAandprovideittothejudgeswhenpresentingthebeamfortesting.Teamsmustincludetheirstrengthpredictiononthemixdesignsheet.
FiberEfficiencyFactorAteam’sscorecanbeincreasedordecreasedbasedontheamountoffiberinthemixdesign.Afiberefficiencyfactorwillbecalculatedasfollowsandmultipliedbythemaximumload.Aminimumof0.5%fiberbyvolumeisrequired.Failuretomeetminimumfiberrequirementswillresultindisqualification.
𝐹𝐸𝐹 =1
(% 𝐹𝑖𝑏𝑒𝑟 𝑏𝑦 𝑉𝑜𝑙𝑢𝑚𝑒)
Example:2%fiberbyvolume.FEF=½=0.5BeamStrengthFlexuralfailurewillbedeterminedinaccordancewithASTMC78.Allbeamswillbeloadedtofailure.Loadswillberecordedtothenearest0.1pounds.Themaximumloadheldbythebeamwillbetakenasstrength.Eachteamwillberesponsiblefororientingitsbeamforloading.Atleastone(1)personfromtheteammustbepresentatthetimeofloading.Ifnorepresentativeispresentattheloading,theteamwillbemovedtotheendofthetestingorder.Ifnorepresentativeisthereattheendofthetestingorder,thatteamwillbeawardedzero(0)points.Thebeamstrengthscorewillbedeterminedbymultiplyingthemaximumloadbythefiberefficiencyfactor.Thosestrengthswillberankedagainsttheotherteams.Theteamwiththehigheststrengthwillreceive60points,andtheotherswillbeawardedpointslinearlybasedontheirrankings,asshownbelow.
𝑃! = 60 ∗𝑆 − 𝑅 + 1
𝑆
𝑃! = 𝑆𝑡𝑟𝑒𝑛𝑔𝑡ℎ 𝑃𝑜𝑖𝑛𝑡𝑠𝑆 = 𝑇𝑜𝑡𝑎𝑙 𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑆𝑐ℎ𝑜𝑜𝑙𝑠 𝑇ℎ𝑎𝑡 𝑃𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑡𝑒𝑑 𝑖𝑛 𝑡ℎ𝑒 𝐶𝑜𝑚𝑝𝑒𝑡𝑖𝑡𝑖𝑜𝑛
𝑅 = 𝑅𝑎𝑛𝑘𝑖𝑛𝑔 𝑓𝑜𝑟 𝑆𝑡𝑟𝑒𝑛𝑔𝑡ℎ
StrengthPredictionEachteammustpredictatwhichloaditsbeamwillfail,andpointswillbeawardedbasedonhowclosetothepredictedloadthebeambreaks.Theteamwiththeclosestpredictionwillbeawarded40points,andtheremainingteamswillbeawardedpointslinearlybasedontheirranking,asshownbelow.
𝑃! = 40 ∗𝑆 − 𝑅 + 1
𝑆
𝑃! = 𝑃𝑟𝑒𝑑𝑖𝑐𝑡𝑖𝑜𝑛 𝑃𝑜𝑖𝑛𝑡𝑠𝑆 = 𝑇𝑜𝑡𝑎𝑙 𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑆𝑐ℎ𝑜𝑜𝑙𝑠 𝑇ℎ𝑎𝑡 𝑃𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑡𝑒𝑑 𝑖𝑛 𝑡ℎ𝑒 𝐶𝑜𝑚𝑝𝑒𝑡𝑖𝑡𝑖𝑜𝑛
𝑅 = 𝑅𝑎𝑛𝑘𝑖𝑛𝑔 𝑓𝑜𝑟 𝑃𝑟𝑒𝑑𝑖𝑐𝑡𝑖𝑜𝑛
Rankingswillbebasedonthesmallestabsolutevalueofthetestedloadandpredictedload.Tieswillgototheteamwiththehighesttestedstrength.TotalScore
TotalScore=BeamStrengthScore+PredictionScore
ScoringSummarySheetAuthor’sName:_________________________________________________Date:_________________ASCEStudentOrganization:_______________________________________
BeamScoringCriteria Score
1.EfficiencyFactor
2.FlexuralStrength
3.BeamStrengthScore /604.PredictionScore /40
BeamTotalScore /100
AppendixA:MixDesignSchoolName PrintedName SignatureFacultyAdvisor TeamMember StrengthPrediction
Component TypeandSize UnitWeight(𝒍𝒃/𝒇𝒕𝟑)Cement
CementitiousMaterials
CoarseAggregates
FineAggregates
ChemicalAdmixtures
Reinforcement
Water Total
