Anchor Bolt

12/01/2016 ConcreteAnchorFoundationBoltDesignCalculationswithExampleasperACI318AppendixDPart2BreakoutStrengthinTension

http://blog.mechguru.com/machinedesign/exampleofconcreteanchorboltdesigncalculationpart2determiningconcretebreakoutstrengthofanchorinte 1/6

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ExampleofConcreteAnchorBoltDesignCalculationPart1:DeterminingSteelStrengthofAnchorBoltinTension

ExampleofConcreteAnchorBoltDesignCalculationPart3:DeterminingPulloutStrengthofAnchorinTension

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ExampleofConcreteAnchorBoltDesignCalculationPart2:DeterminingConcreteBreakoutStrengthofAnchorinTensionWewilldiscusshowtocalculatetheconcretebreakoutstrengthaccordingtotheACI318codeinthispartoftheconcreteanchorfoundationboltdesigncalculationexample.Pleasereferpart1ofthecalculationtounderstandthedesignproblemstatementandthecalculationsfortheanchorboltmaterialsstrength.

IfyourefertheFig.1andtheFig.2oftheproblemstatementthenitwillcleartoyouthatthedistancebetweentwosurroundinganchors(inourcaseitis6inch)islessthanthreetimestheeffectiveembedmentdepth(inourcaseitis10inch).So,asperACIcodes,theanchorarrangementcanbetermedasgroupandtheACIformulaforcalculatingtheconcretebreakoutstrengthfortheanchorgroupis:

Ncbg=(ANc/ANco)ec,Ned,Nc,Ncp,NNb..D5

Where,

Strengthreductionfactorforbreakoutstrengthanditsvaluefornonreinforcementintensionis0.70ANcTotalprojectedareaforthegroupofanchorsofthefailuresurfaceasapproximatedbyarectanglewithedgesboundedby1.5hef(1.5*10=15inchinourcase)andthefreeedgesoftheconcretefromthecenterlineoftheanchors.Confused?Youwillbeclearerwhilecalculatingitlittlelater.

hefEffectiveembedmentdepthofanchor(inourcaseitis10inch).

ANcoTotalprojectedfailureareaapproximatedbyasquareboundedby1.5hef(1.5*10=15inchinourcase)fromthecenterlineoftheanchorsatallthesides.

ec,NModificationfactorfortheanchorgrouploadedeccentricallyintension,inourcasethereisnoeccentricloading,soec,N=1.

ed,NModificationfactorforedgeeffectfortheanchorgroupintension,wewillcalculateitlater.

c,NModificationfactorbasedonthepresenceandabsenceofcrackintheconcrete,wewillcalculateitlater.

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cp,NModificationfactorforpostweldtypesofanchor.Forcastinplaceanchorcp,N=1

NbBasicconcretebreakoutstrengthforasingleanchorintension,wewillcalculateitlater.

CalculationofANc

Beforegoingtothecalculationpleaserefertheplanviewoftheanchorarrangementasbelow:

Fig.2.1:AnchorBoltPlanforcalculatingAnc

ANC=Areaofthesquareshownindottedline

=(15+6+5)*(15+6+5)=676SquareInch

CalculationofANco

Beforegoingtothecalculationpleaserefertheplanviewoftheanchorarrangementasbelow:

forrotatingequipmentslikemachinesandstructuralmembersliketowers.TheAmerican...



Fig.2.2:AnchorBoltPlanforcalculatingAnco

ANC=Areaofthesquareshownindottedline

=(15+15)*(15+15)=900SquareInch

Calculationofed,N

If,Ca,min(minimumdistancesbetweentwoanchors,6inchinourcase)islessthan1.5timesthehef(1.5*10=15inchinourcase)then

ed,N=0.7+(0.3*Ca,min)/(1.5*hef)

=0.7+(0.3*6)/(1.5*10)

=0.82

Calculationofc,N

Accordingtothecodethevalueofc,N=1whereconcretecrackislikelytooccur.

CalculationofNb

Nb=kchef1.5fcD7

Where,

Kcafactorwhichhasvalueof24forcastinconcrete.

Afactorrelatedtothereducedmechanicalpropertiesofconcrete,fornormalweightconcrete=1

hefEffectiveembedmentdepthofanchor(inourcaseitis10inch).

fcSpecifiedcompressivestrengthoftheconcrete,inourcasefc=4000psi(referproblemstatement)

So,byputtingthevalueinD7weget:

Nb=24*1*10^1.5*4000^0.5



=48000lb

Now,byputtingallthevaluesinD5wegettheConcretebreakoutstrengthfortheanchorgroup

Ncbg=(ANc/ANco)ec,Ned,Nc,Ncp,NNb

=0.70*(676/900)*1*0.82*1*1*48000

=20694.6131lb

So,finallywegottheconcretebreakoutstrengthoftheanchorgroupintensionas20694.6131lb.Inthenextpart(Part3)ofthefoundationanchorboltdesigncalculationexample,wewilldiscussaboutcalculatingtheconcretepulloutforceintension.

AboutShibashisGhoshShibashisisamechanicaldesignengineerbyprofessionandwriter/bloggerbypassion.Hehasworkedinvariousdesignprojectsinautomobile,powerplantandheavyearthmovingequipmentdomainsince2005.Inhissparetimeapartfrommaintainingthisblog,heenjoyinvestingtimebuildinghisfirstRCplane

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1comment

1.

ashe

August19,2015at1:58am(UTC5.5)

accordingtothecommentary,ca,ministheminimumedgedistance,nottheminimumdistancebetweenboltsasyoustatedabove.

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ExampleofConcreteAnchorBoltDesignCalculationPart6:DeterminingConcreteBreakoutStrengthofAnchorinShearIn"Engineeringdesign"

ExampleofConcreteAnchorBoltDesignCalculationPart3:DeterminingPulloutStrengthofAnchorinTensionPleaserefertheproblemstatementandthepart1,part2ofthiscastinplaceconcreteanchorboltdesigncalculationexamplesothatyouwillbeinphasewiththispart(part3)ofthecalculation.HerewewillcalculatethepulloutstrengthoftheIn"Engineeringdesign"

ExampleofConcreteAnchorBoltDesignCalculationPart4:DeterminingSidefaceBlowoutStrengthofAnchorinTensionInthispartwewillcalculatethesidefaceblowoutstrengthoftheconcreteanchoraccordingtotheACI318AppendixDcodesandalsoconsolidatetheresultsofthedifferenttypesofanchorstrengthsintensionwehavecalculatedsofar.PleaseIn"Engineeringdesign"

12/01/2016 ConcreteAnchorFoundationBoltDesignCalculationswithExampleasperACI318AppendixDPart3PullOutStrengthinTension

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ExampleofConcreteAnchorBoltDesignCalculationPart2:DeterminingConcreteBreakoutStrengthofAnchorinTension

ExampleofConcreteAnchorBoltDesignCalculationPart4:DeterminingSidefaceBlowoutStrengthofAnchorinTension

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ExampleofConcreteAnchorBoltDesignCalculationPart3:DeterminingPulloutStrengthofAnchorinTensionPleaserefertheproblemstatementandthepart1,part2ofthiscastinplaceconcreteanchorboltdesigncalculationexamplesothatyouwillbeinphasewiththispart(part3)ofthecalculation.HerewewillcalculatethepulloutstrengthoftheconcreteanchoraccordingtotheACI318AppendixDcodes.

WhatisAnchorPulloutStrength?

Asthenamesuggests,itistheforcerequiredtouprootaanchoroutoftheconcrete.

Calculation

AccordingtoACIcodes,thepulloutstrengthofthegroupofanchorsisgivenby

Npn=8nc,PAbrgfc..D14

Where,Strengthreductionfactorforpulloutstrengthanditsvaluefornonreinforcementintensionis0.70c,PModificationfactorforpulloutstrengthbasedonthepresenceofconcretecracks,fortheconcretewithcracksatserviceloadlevelc,P=1.

nNumberofanchorbolts,inourcasen=4.

AbrgNetbearingareaoftheheadofanchorboltinsquareinch,inourcaseAbrg=0.654Squareinch.

fcTheconcretesspecifiedcompressivestrengthinpsi,inourcasefc=4000psi.

So,byputtingallthevaluesinD14,wegetthepulloutstrengthoftheanchorgroupas

Npn=0.7*8*4*1*0.654*4000lb

=58598.4lb

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ExampleofConcreteAnchorBoltDesignCalculationPart2:DeterminingConcreteBreakoutStrengthofAnchorinTension

WewilldiscusshowtocalculatetheconcretebreakoutstrengthaccordingtotheACI318codeinthispartof...

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12/01/2016 ConcreteAnchorFoundationBoltDesignCalculationswithExampleasperACI318AppendixDPart4BlowoutStrengthinTension

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ExampleofConcreteAnchorBoltDesignCalculationPart3:DeterminingPulloutStrengthofAnchorinTension

ExampleofConcreteAnchorBoltDesignCalculationPart5:DeterminingSteelStrengthofAnchorBoltinShear

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ExampleofConcreteAnchorBoltDesignCalculationPart4:DeterminingSidefaceBlowoutStrengthofAnchorinTensionInthispartwewillcalculatethesidefaceblowoutstrengthoftheconcreteanchoraccordingtotheACI318AppendixDcodesandalsoconsolidatetheresultsofthedifferenttypesofanchorstrengthsintensionwehavecalculatedsofar.

Pleaserefertheproblemstatementandthepart1,part2,part3ofthiscastinplaceconcreteanchorboltdesigncalculationexamplesothatyouwillbeinphasewiththispart(part4)ofthecalculation.

WhatisSidefaceBlowOutStrength?

Insimpleterm,itisthefailureoftheconcreteduetotheclosenessofananchorboltwiththesidesurfaceoftheconcretefoundation.Whentheanchorboltistooclosetothesidethenthepossibilitiesaretherethatbeforebreakingoutthetopconcretesurface,thesidesurfacegetbroken.Whilecalculatingsidefaceblowoutthedepthoftheanchorboltandthedistanceoftheanchorfromtheclosestedgeareconsidered.

Calculation

AccordingtoACIcodes,youneedtocalculatethesidefaceblowoutonlyfortheanchorswhichhasthedistancefromtheedgelesserthan0.4timesthedepthoftheanchor,or

Ca1

12/01/2016 ConcreteAnchorFoundationBoltDesignCalculationswithExampleasperACI318AppendixDPart4BlowoutStrengthinTension

http://blog.mechguru.com/machinedesign/exampleofconcreteanchorboltdesigncalculationpart4determiningsidefaceblowoutstrengthofanchorinten 2/3

Sidefaceblowoutstrength=NA

Outofthesethreestrengthvaluesthesmallestonewillbethedesignstrength.

So,thedesignstrengthintension=20694.6131lb

Ifyourefertheproblemstatementforthisfoundationanchorboltdesigncalculationexamplethenyoucanobservethattensileload(20000lb)appliedislowerthanthecalculateddesignstrengthintension(20694.6131lb),so,thedesignissafeundertensileload.

Inthenextpart(Part5),wewilldiscusscalculatingthematerielstrengthorsteelstrengthinshear.



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ExampleofConcreteAnchorBoltDesignCalculationPart7:DeterminingPryoutStrengthofAnchorinTensionInthispartoftheconcreteanchorboltdesigncalculationexamplewewillcalculatetheconcretepryoutstrengthundershearforceappliedtothestructuralcastinplacefoundationanchorboltofthecolumnshownintheFigure1and2ofthePart1ofthisIn"Engineeringdesign"

12/01/2016 ACI318AppendixDConcreteAnchorFoundationBoltDesignCalculationswithExampleCalculatingSteelStrengthinShear

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ExampleofConcreteAnchorBoltDesignCalculationPart5:DeterminingSteelStrengthofAnchorBoltinShearInthispart(part5),wewillseetheconcreteanchorboltdesigncalculationexampleforcalculatinganchormaterial(steel)strengthinshearaccordingtotheACI318appendixDcodes.Butbeforethat,pleasegothroughtheproblemstatementandpart1,part2,part3andpart4ofthisseries.

Calculation

TheformulafordeterminingthesteelstrengthinsheargivenintheAmericanConcreteInstitutecodeis:

Steelstrengthinshear,Nsa=nAse,Nfuta..D19

Where,

Strengthreductionfactoranditsvalueforductileanchorboltinshearthevalueofitis0.65

NsaNominalshearstrengthofthegroupofanchorinlb

nTotalanchornumberinthegroup,inourcasethevalueis4

Ase,NEffectivecrosssectionalareaofasingleanchor,thevalueofitforthe0.75inchanchorboltis0.334squareinch.

futaSpecifiedtensilestrengthforasingleanchor(tobeobtainedfrommanufacturerscatalog)inpsi,inourcasethevalueis75000psi.

Now,byputtingthevaluesintheequationD19explainedabove,wecanobtainthevalueofthesteelstrengthforthegroupofanchoris:

Nsa=0.65*4*0.334*75000=65130lb

Youmighthavealreadyobservedthatonlydifferencebetweencalculatingthecastinplaceanchorboltmaterialstrengthinshearandintensionisthestrengthreductionfactor.Forshearitis0.65andfortension0.75.Also,pleaserememberthatinboththecasesweused

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InthispartwewillcalculatethesidefaceblowoutstrengthoftheconcreteanchoraccordingtotheACI318Appendix...

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12/01/2016 ConcreteAnchorFoundationBoltDesignCalculationswithExampleAccordingtoACI318AppendixDBreakoutStrengthinShear

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ExampleofConcreteAnchorBoltDesignCalculationPart6:DeterminingConcreteBreakoutStrengthofAnchorinShearBeforedivingintotheconcreteanchorboltdesigncalculationexampleforcalculatinganchorbreakoutstrengthinshear,pleasegothroughtheproblemstatementandpart1,part2,part3,part4andpart5ofthisseries.ThecalculationexerciseiscarriedoutaccordingtotheACI318appendixDcodes.

Calculation

Thecodegivesthefollowingformulaforfindingoutthebreakoutstrengthinshearforagroupofanchorbolts:

Vcbg=(AVc/AVco)ec,Ved,Vc,Vcp,VVb..D22

Where,

Strengthreductionfactorforbreakoutstrengthanditsvaluefornonreinforcementintensionis0.70

Avcprojectedconcretefailureareaofthegroupofanchors,forcalculationofstrengthinshear(ininch2)asapproximatedbyarectanglewithedgesboundedby1.5*Ca1(1.5*5=7.5inchinourcase)andthefreeedgesoftheconcretefromthecenterlineoftheanchors.Wewillcalculateitlittlelater.

Ca1Distancefromthecenterofananchorshafttotheedgeofconcreteinonedirection(ininch).ReferFig.1below.

AvcoTotalprojectedshearfailureareaapproximatedbyasquareboundedby1.5*Ca1(1.5*5=7.5inchinourcase)fromthecenterlineofaanchoratallthesides.Wewillcalculateitlittlelater.

ec,VModificationfactorfortheanchorgrouploadedeccentricallyinshear,inourcasethereisnoeccentricloading,soec,V=1.

ed,VModificationfactorforedgeeffectfortheanchorgroupinshear,wewillcalculateitlater.

c,VModificationfactorbasedonthepresenceandabsenceofcrackintheconcrete,inourcasevalueofit=1..

cp,VModificationfactorforpostweldtypesofanchor.Forcastinplaceanchorcp,V=1

VbBasicconcretebreakoutstrengthforasingleanchorinshear,wewillcalculateitlater.

CalculationofAVc

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Fig.1:ShowingCa1forcalculatingAvcandAvcoforAnchorGroup

Fig.2:AnchorBoltElevationforcalculatingAvc

Refertheabovetwofigure(Fig.1andFig.2),itshouldbeclearbynowthat

AVC=16.5*(5+6+16.5)=453.75inch2

CalculationofAVco



Fig.3:AnchorBoltElevationforcalculatingAvco

Byreferringtheabovefigure(Fig.3),wecancalculate

Avco=16.5*(16.5+16.5)=544.5inch2

Calculationofed,V

ForCa2



So,byputtingallthevalues,theaboveequation(D24)becomes

Vb=(7*0.75*[10/0.75]0.2)*1*(4000)*111.5

=23482.02lb

Now,fromtheequationD22,afterputtingallthevaluesatrighthandside,

Vcbg=(AVc/AVco)ec,Ved,Vc,Vcp,VVb

=0.7*(453.75/544.5)*1*0.79*1*1*23482.02lb

=10821.297lb

TheconcretebreakoutstrengthinshearfortheanchorboltgroupaccordingtotheACIcodesiscalculatedas10821.297lb.Thenextpart(Part7)willtalkaboutConcretePulloutStrengthinShear.



2comments

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asad

September7,2013at10:48am(UTC5.5)

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ExampleofConcreteAnchorBoltDesignCalculationPart2:DeterminingConcreteBreakoutStrengthofAnchorinTensionIn"Engineeringdesign"

ExampleofConcreteAnchorBoltDesignCalculationPart7:DeterminingPryoutStrengthofAnchorinTensionInthispartoftheconcreteanchorboltdesigncalculationexamplewewillcalculatetheconcretepryoutstrengthundershearforceappliedtothestructuralcastinplacefoundationanchorboltofthecolumnshownintheFigure1and2ofthePart1ofthisIn"Engineeringdesign"


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12/01/2016 ConcreteAnchorFoundationBoltDesignCalculationswithExampleasperACI318AppendixDPart7PryoutStrengthinShear

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ExampleofConcreteAnchorBoltDesignCalculationPart8:InteractionofTensileandShearForces

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ExampleofConcreteAnchorBoltDesignCalculationPart7:DeterminingPryoutStrengthofAnchorinTensionInthispartoftheconcreteanchorboltdesigncalculationexamplewewillcalculatetheconcretepryoutstrengthundershearforceappliedtothestructuralcastinplacefoundationanchorboltofthecolumnshownintheFigure1and2ofthePart1ofthisdesigncalculationseries.

WhatisConcretePryoutStrength?

Thisissomethingrelatedtothecomingoutoftheshortandstiffanchorsbybreakingorchippingtheconcreteatthedirectionoppositetotheappliedshearforcetothecolumn.

DesignCalculation

ThecodeACI318AppendixDgivesthefollowingequation:

Vcpg=kcpNcbgD31

Where,

Strengthreductionfactorforpryoutstrengthanditsvaluefornonreinforcementintensionis0.70

VcpgPryoutstrength

kcpFactor,whichhasvalue=2fortheanchorlongerthan2.5inch.

NcbgConcretebreakoutstrengthintension(=20694.6131lb,ReferPart2)fortheanchorgroup.

Now,byputtingallthevalueswegetthepryoutstrength,

Vcpg=28972.45lb

SummaryofCalculatedStrengthValuesinShear

Throughthepart5,Part6,andthispartwehavecomeoutwiththefollowingshearstrengthvalues:

Nominalmaterialstrengthinfortheanchors(Vsa)=65130lb

Concretebreakoutstrengthfortheanchorgroup(Vcbg)=10821.297lb

Pryoutstrengthoftheanchorgroup(Vpn)=28972.45lb

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12/01/2016 ConcreteAnchorFoundationBoltDesignCalculationswithExampleasperACI318AppendixDPart7PryoutStrengthinShear

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Outofthesethreestrengthvaluesthesmallestonewillbethedesignstrength.

So,thedesignstrengthinshear=10821.297lb

Fromtheproblemstatement(part1),youcanobservethatappliedfactoredshearforcetothecolumn=2300lb.

Since,designstrengthinshearismuchlowerthanthefactoredappliedshearforce,so,theanchorboltsaresafeundershearloading.

Inthenextpart(Part8)ofthisconcreteanchorfoundationboltdesigncalculationexamplewewillseetheinteractionoftensileandshearforcesaccordingtotheACI318D.



2comments

1.

ThilakeshKumar

April30,2012at10:27am(UTC5.5)

ifanybodydesigninanchorboltmodelplzuploadit.wewantsomemodels

2.

ThilakeshKumar

April30,2012at10:28am(UTC5.5)

IamlookingatrationaldesigncriteriaforAnchorbolts

1.Edgedistance2.Embedmentlength3.Sleeverequirements4.Projectionofanchorabovegroutcalculations

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ExampleofConcreteAnchorBoltDesignCalculationPart7:DeterminingPryoutStrengthofAnchorinTension

DifferencebetweenDMADVandDMAIC

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ExampleofConcreteAnchorBoltDesignCalculationPart8:InteractionofTensileandShearForcesInthispartoftheconcreteanchorboltdesigncalculationexamplewewillseetheinteractionoftensileandshearforcesforthestructuralcastinplacefoundationanchorboltofthecolumn.PleaserefertheFigure1and2ofthePart1ofthisanchordesignseries.

WhattheACI318Codessays

If,thefactoredshearload(2300lbinourcase,referpart1)>0.2*designstrengthinshear(10821.297lbinourcase,referpart7)

And,thefactoredtensileload(20000lbinourcase,referpart1)>0.2*designstrengthintension(20694.6131lbinourcase,referpart4)

Then,

(factoredshearload/designstrengthinshear)+(factoredtensileload/designstrengthintension)>Findmoreaboutmeon:

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Inthispartoftheconcreteanchorboltdesigncalculationexamplewewillcalculatetheconcretepryoutstrengthunder...

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