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8/11/2019 Behavior and Design of Concrete-Filled Beam-Columns Webinar Slides
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5/29/20
BehaviorandDesignof
ConcreteFilledComposite
Columns
RobertoT.Leon
VirginiaTech,Blacksburg,VA
JeromeF.Hajjar
NortheasternUniversity,Boston,MA
LarryGriffis
WalterP.Moore,Austin,TX
Scope Briefintroductiontocompositecolumns(LG)
Researchmotivationandexperimentalresults(RL)
Analyticalmodelingandsystemstudies(JH)
Conclusionsanddesignrecommendations(LG)
Workisbasedonthedissertationsof:
TizianoPerea,UAM,MexicoCity(MX) GeorgiaTech
MarkDenavit,SDL,Atlanta(GA) UIUC
InKind:
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Compositeorhybridsystem(concrete&steel)
Systemwhichcombinestheadvantagesofconcreteandstructuralsteel
Concrete*Rigid *Economic
*Fireresistant *Durable
Structuralsteel*Highstrength *Ductile
*Easytoassembly *Fasttoerect
Frames with CFT columns Steel tubeconfines concrete
Concreterestrictsthebucklingofthesteeltube
Increaseinstrength&deformationoftheconcrete
Delayinthebuckling ofthesteeltube
Frames with SRC columnsSteelelementsupportstheconstructionloads
Theconcrete givesfinalstiffnessandfireresistant
ShearconnectionsbecomeFRonceconcreteiscast
Systemfasttoerect&build(redundancy)
UsesforCompositeColumns
Extracapacityinconcretecolumnfornoincreaseindimension
Largeunbracedlengthsintallopenspaces Lowerstoryinhighrisebuildings
Airportterminals,conventioncenters
Corrosion,fireproofprotectioninsteelbuildings
Compositeframe highriseconstruction
Transitioncolumn
between
steel,
concrete
systems Toughness,redundancyasforblast,impact
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CompositeSystems Perimetermomentframesfor
stiffnessinhurricanezones.
Extensiontoseismicbasedon
Japaneseexperience.
Distributedsystemsvs.
supercolumns
BuildingswithSRCColumns (MartinezRomero,1999&2003)
8/11/2019 Behavior and Design of Concrete-Filled Beam-Columns Webinar Slides
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Composite Braced Frame
Bank of ChinaHong Kong
Composite Column
Bank of ChinaHong Kong
8/11/2019 Behavior and Design of Concrete-Filled Beam-Columns Webinar Slides
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Composite Moment FrameTube Design
3 Houston CenterHouston, Texas
CompositeColumnForming
8/11/2019 Behavior and Design of Concrete-Filled Beam-Columns Webinar Slides
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Tree ColumnsComposite Columns
3 Houston CenterHouston, Texas
CompositeErectionColumns
8/11/2019 Behavior and Design of Concrete-Filled Beam-Columns Webinar Slides
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Composite ColumnsReinforcement Cage
CompositeShearWalls
8/11/2019 Behavior and Design of Concrete-Filled Beam-Columns Webinar Slides
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Composite Braced Frame
2 Union SquareSeattle, Washington
Composite Frame Construction
Dallas, Texas
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CompositeFrameConstruction
Possibleconfigurationsincompositecolumns
a) SRC b) Circular and Rectangular CFT
c) Combinations between SRC and CFT
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Flexibility
SizesandShapes
FilledCompositeColumn
(CoveredinthisWebinar)
Round HSS Square or Rectangular HSS
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EncasedCompositeColumn
MotivationforResearch Lackofdesigninformationforthestiffnessof
columnstobeusedforbucklingandlateralrigiditycalculations
Lackofknowledgeontheinteractionbetweenaxialloadandbendingatultimate(2Dand3D)
Lackofknowledgeonsystemfactors(forcereductionanddeflectionamplificationforseismic
design) Gapsindataforslendercolumns(localand
overallbuckling)
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(1)Flexuralrigidityforlateralforces
Advancedcomputationalanalysis:
eff s s s c c cEI EI EI
HSS
Section
t
D
Fiberelement
analysis
Finiteelement
analysis
Semiempirical :
ConcreteonlyorSteelonly forcalculatingcolumncapacity,not
forlateral
analysis
SelectedSystems R
Cd
SSMF (SteelSpecialMomentFrames): 8.0 3.0 5.5
CSMF (CompositeSpecialMomentFrames): 8.0 3.0 5.5
SIMF (SteelIntermediateMomentFrames;SDCB,C,D): 4.5 3.0 4.0
CIMF (CompositeIntermediateMomentFrames;SDCB,C): 5.0 3.0 4.5
SOMF (SteelOrdinaryMomentFrames;SDCB,C,D): 3.5 3.0 3.0
COMF (CompositeOrdinaryMomentFrames;SDCB!!): 3.0 3.0 2.5
SCBF (SteelConcentricallyBracedFrames): 6.0 2.0 5.0
CSBF (CompositeSpecialBracedFrames): 5.0 2.0 4.5
OCBF (CompositeOrdinaryConc.BracedFrames;SDCBF): 3.25 2.0 3.25
COBF (CompositeOrdinaryBracedFrames;SDCB,C!!): 3.0 2.0 3.0
(2)Behaviorfactorsforseismicdesign?
ASCE/SEI710,Table1221
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0.0
0.5
1.0
1.5
2.0
2.5
0.00 0.50 1.00 1.50 2.00 2.50 3.00
Pexp/Po
Pn/Po
AISC
P/P
o
CCFTcolumnsdatabase
(3)LackofSlenderExperimentalTests
DatabasescompiledbyLenetal.,2005andGoodeetal.,2007
1375CircularCFT
912columns
463beamcolumns
798RectangularCFT
524columns
274beamcolumns
267EncasedSRC
119columns
148beam
column
(4)InteractionEquations
Howdowegetasimplifiedexpression
thatisclosetothedesignstrength?
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ProjectObjectives Obtainandevaluateexperimentalresponse:
Criticalload(Pcr)
PMinteractiondiagram(uniaxialandbiaxialbending)
Cycliclateralforce(uniaxialandbiaxialbending)
Torsion(torsionalstrengthandrigidity)
Wetconcretepressureduetothepouring
Flexuralrigidity(EIeff)
Steellocalbucklingandconcreteconfinement
Developnewcomputationalformulationsfor
completeframeanalysisofcompositesystems Providerecommendations onconstruction,analysis,
anddesignofCFTs.
NEES UMNMASTLabMASTcapabilities:
6DOFs
Pz=1320kip
Px,Py=880kips
Ux=Uy=+/16
14
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Specimen L Steel section Fy fc D/
name (ft) HSS D x t (ksi) (ksi)
1-C5-18-5 18 HSS5.563x0.134 42 5 45
2-C12-18-5 18 HSS12.75X0.25 42 5 55
3-C20-18-5 18 HSS20x0.25 42 5 86
4-Rw-18-5 18 HSS20x12x0.25 46 5 67
5-Rs-18-5 18 HSS20x12x0.25 46 5 67
6-C12-18-12 18 HSS12.75X0.25 42 12 55
7-C20-18-12 18 HSS20x0.25 42 12 86
8-Rw-18-12 18 HSS20x12x0.25 46 12 67
9-Rs-18-12 18 HSS20x12x0.25 46 12 67
CFTTest Matrix(18specimens)
Similarforspecimens1018butat26ft.
CCFT
103
52(S)
RCFT
5634(S)
Setup
and
Instrumentation
VideoandStillImagesFourtowersforimagesofwhole
specimenaswellasbase
KryptonCoordinate
MeasurementMachine
StringPotsDistributedalongheight
LVDTsSetsofthreeforbiaxialcurvature
measurement
StrainGagesUniaxialandrosettesdistributed
alongheight
Measurementsduringconcrete
pouringandtesting
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HydrostaticPressuresonSlenderRCFT
FEAnalysis:max max 36.1ksimax in
2
Stiffenerstoreduceexpansioninthe
RCFTsduringtheconcretepouring
Surveyed
Initial
Imperfections Length (ft) Length (ft)
Initial imperfection Initial imperfectionCCFTs, L=26ft RCFTs, L=26ft
0 0.5 1 1.5 20
5
10
15
20
25 10
11
14 1518
o
=L/50
0=
0.6
3
0 0.5 1 1.50
5
10
15
20
2512 13
16
17
o
=L/50
0=
0.6
3
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LC1
Loadprotocol
Pcr
0,
PA
ME,PE
MB,0
MB,PC
MD,
PC
/2
0,PAPA,PA
LC1
StabilityEffects
LC1 Axialloadonly
Loadprotocol0
,P
A
ME,PE
MB,0
MB,PC
MD,
PC
/2
0,PAPA,PA
LC1
MLC2a,2PALC2a
unidirectional
MLC2b,PALC2bunidirectional
Fmax
P
LC2
StabilityEffects
LC2 AxialloadpluslateraldisplacementalongX
attwodifferentaxialloadlevels
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LC3
y
x
Loadprotocol
0,
PA
ME,PE
MB,0
MB,PC
MD,
PC
/2
0,PAPA,PA
LC1
MLC2a,2PALC2a
unidirectional
MLC2b,PALC2bunidirectional
LC3a
bidirectional
LC3b
bidirectional
LC3c
bidirectional
Fmax
P StabilityEffects
LC3A Axialloadatthreelevelspluslateraldisplacement
alongbothXandyinadiamondspikeconfiguration
LC3
Loadprotocol0
,P
A
ME,PE
MB,0
MB,PC
MD,
PC
/2
0,PAPA,PA
LC1
MLC2a,2PALC2a
unidirectional
MLC2b,PALC2bunidirectional
LC3a
bidirectional
LC3b
bidirectional
LC3c
bidirectional
Fmax
P
-10 -5 0 5 10
-30
-20
-10
0
10
20
30
Lateral Displacement (in)
LateralForce(kip)
-6 -4 -2 0 2 4 6
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
Lateral Drift (%)
Crackingofconcrete
Steelyieldingincompression
Steelyieldingintension
Crushing ofconcrete
Steellocalbuckling
y
x
LC3B Axialloadatthreelevelspluslateraldisplacement
alongbothXandyinafigureeightconfiguration
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Loadprotocol
LC4
T
Pcr
0,
PA
ME,PE
MB,0
MB,PC
MD,
PC
/2
0,PAPA,PA
LC1
MLC2a,2PALC2a
unidirectional
MLC2b,PALC2bunidirectional
LC3a
bidirectional
LC3b
bidirectional
LC3c
bidirectional
T
-10 -5 0 5 10
-30
-20
-10
0
10
20
30
Lateral Displacement (in)
LateralForce(kip)
-6 -4 -2 0 2 4 6
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
Lateral Drift (%)
Crackingofconcrete
Steelyieldingincompression
Steelyieldingintension
Crushing ofconcrete
Steellocalbuckling
-600
-400
-200
0
200
400
600
-10 -5 0 5 10
P=0
P=0.2Po
Angleoftwist(deg)
Tors
iona
lMoment
(kip
ft)
CCFT20x0.2518ft5ksi
LC4 Torsionattwolevelsofaxialload
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Loadprotocol:LC1 Purecompression
0 200 400 600 800 10000
500
1000
1500
2000
2500
3000
Cross-section
Beam-column
Experimental
P(kip)
M(kipft)
Stability
Effects
Specimen17Rs2612
P
M
Loadprotocol:LC2 Uniaxialbending
Specimen3C20185
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Probe
-5000
500 -5000
5000
500
1000
1500
Y Moment (k-ft)X Moment (k-ft)
ZF
orce
(k)
AISC Beam Column Strength (K=2)
All Load Cases
Experimental Interaction Points
Loadprotocol:LC3 Biaxialbending
CCFT Specimen20x0.25
Fy = 42 ksi
fc = 5 ksi
L = 18 feet
KL = 36 feet
CorrectedColumnStrengths(LC1)
MASTcapacityreached:3,5,7,9
Largeimperfection:1,8,11,17
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LocalBuckling 2010
Composite Members Subject to Axial Compression
Description of
Element
Width-
Thickness
Ratio
pCompact/
Noncompact
rNoncompact/
Slender
Max.
Permitted
Sides of rectangular
box and hollow
structural sections
of uniform thickness
b/t 2.26 3.00 5.00
Round filled sectionsD/t 0.15 E/Fy 0.19E/Fy 0.35 E/Fy
yF
E
yF
E
yF
E
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ExtractionofEI fromtheexperimentalM curves
M (kip-ft)
(10-4/in)
Specimen 4-Rw-18-5
0 1 2 3 4 50
100
200
300
400
500
600EI
eff=21081046 kip-i n2
EIexpL
=21865004 k ip -in2
EIexpL
/EIeff
=1.0372
EIexpU
=21868261 ki p-in2
EIexpU
/EIeff
=1.0373
Specimen13Rs265,LC2
M(kipft)
(1/in)
Loadprotocol:LC4Torsion
PT
Specimen3C20185
-600
-400
-200
0
200
400
600
-10 -5 0 5 10
P=0
P=0.2Po
T(
kip-ft)
z(deg)
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Analysis of Composite Frames:
Mixed BeamColumn Element
Mixedbeamfiniteelementformulationwasdevelopedusingbothdisplacementandforceshapefunctions
Distributedplasticityfiberformulation: stressandstrainmodeledexplicitlyateachfiberofcrosssection
Perfectcompositeactionassumed(i.e.,slipneglected)
TotalLagrangian corotationalformulation
ImplementedintheOpenSeesframework
0 L
0
1Shape Functions
Transverse
Disp
lacemen
t
0 L0
1
Ben
ding
Momen
t
Constitutive Relations Constitutiveformulations,calibration, andvalidationdevelopedforfive
separatesteelandsteelconcretecompositecrosssectionsplusconnections CCFT,RCFT,andSRCbeamcolumns
WFbeams
WFandRect.HSSbraces
Momentframeandbracedframeconnections
ProposedforBehaviorconstitutivemodel Aimstocapturethebehaviorasaccuratelyaspossible
ProposedforDesignconstitutivemodel Followstypicalassumptionscommoninthedevelopmentofdesign
recommendations(e.g.,nosteelstrainhardening,noconcretetension)
Calibratedandvalidatedagainstdetailedresultsofover100monotonicallyandcyclicallyloadedexperimentsofcompositebeamcolumns,connections,andframes
8/11/2019 Behavior and Design of Concrete-Filled Beam-Columns Webinar Slides
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Uniaxial Cyclic Concrete Constitutive
Relations for CFTs and SRCs ProposedforBehaviorconstitutive relation: BasedontherulebasedmodelofChangandMander(1994)
BackbonestressstraincurvefortheconcreteisbasedonTsaisEquation,whichisdefinedby:
InitialstiffnessEc Peakcoordinate(cc,fcc)
r,whichactsasashapefactorforTsaisequationandenablescalibrationforconfinementinCFTs,betweentheflangesinSRCs,etc.
ProposedforDesignconstitutiverelation:simplifiedversionofPB
-10 00 0 -90 00 -80 00 -70 00 -60 00 -50 00 -40 00 -30 00 -20 00 -10 00 0 1 00 0-5
-4
-3
-2
-1
0
1
Strain (strain)
Stress(
ks
i)
-10 00 0 -90 00 -80 00 -70 00 -60 00 -50 00 -40 00 -30 00 -20 00 -10 00 0 1 00 0-5
-4
-3
-2
-1
0
1
Strain (strain)
Stress(
ks
i)
Uniaxial Cyclic Steel ConstitutiveRelations for CFTs, SRCs, WFs, Rebar FortheProposedfor
Behaviormodel,basedontheboundingsurfaceplasticitymodelofShen etal.(1995).
Modificationsfortheanalysisofcompositemembers Localbuckling
Residualstressdefinedwithinitialplasticstrain
FortheProposedforDesignmodel,eitherelasticperfectlyplastic(SRCWFs;rebar)orbasedonthemodelofAbdelRahman &Sivakumaran 1997(CFTs)
0 2 4 6 8 100
0.2
0.4
0.6
0.8
1
1.2
1.4
Normalized Strain (/y,flat
)
Norma
lize
dStress
(/F
y,f
lat)
Et1 = Es/2
Et2 = Es/10
Et3 = Es/200
Et1
Et2Et3
Flat
Corner
Elastic Unloading
Es
Fp = 0.75 Fy
Fym = 0.875 Fy
Et3
Et1
Et2
Fp
Fym
Fy
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SRC BeamColumn ValidationRicles and Paboojian 1994
-150 -100 -50 0 50 100 150-400
-300
-200
-100
0
100
200
300
400
Lateral Displacement (mm)
Test #4: 4 (Ricles and Paboojian 1994)
La
tera
lLoa
d(kN)
Expt.
PfB
-150 -100 -50 0 50 100 150-500
-400
-300
-200
-100
0
100
200
300
400
500
Lateral Displacement (mm)
Test #8: 8 (Ricles and Paboojian 1994)
La
tera
lLoa
d(kN)
Expt.
PfB
H=406mm;B=406mm
W8x40Fy=372MPa
4#9;Fyr=448MPa
fc=31MPa
P/Pno=0.19
L/H= 4.8
H=406mm;B=406mm
W8x40Fy=372MPa
12#7;Fyr=434MPa
fc=63MPa
P/Pno=0.11
L/H= 4.8
RCFT BeamColumn ValidationVarma 2000
-100 -80 -60 -40 -20 0 20 40 60 80 100-500
-400
-300
-200
-100
0
100
200
300
400
500
Lateral Displacement (mm)Test #5: CBC-32-46-10 (Varma 2000)
La
tera
lLoa
d(kN)
Expt.
PfB
-80 -60 -40 -20 0 20 40 60 80-500
-400
-300
-200
-100
0
100
200
300
400
500
Lateral Displacement (mm)Test #8: CBC-48-46-20 (Varma 2000)
La
tera
lLoa
d(kN)
Expt.
PfB
H/t=B/t=35
Fy=269MPa
fc=110MPa
P/Pno=0.11
L/H=4.9
H/t=B/t=53
Fy=471MPa
fc=110MPa
P/Pno=0.18
L/H=4.9
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CCFT BeamColumn Validation
Specimen 11 Load Case 3a
L=7.9m;D=508mm.;t=5.9mm.;D/t=85.8;Fy=305MPa; fc=55.9MPa
Benchmark Frame Studies forComposite Frames: Schematic
L =oe1g EIgross
Pno,gross
ktop =6 EIgrossGg,topL
kbot =
6 EIgross
Gg,botL
P P P
HM
M
EIelasticEIelastic
x
EIgross = EsIs + EsIsr + EcIcPno,gross = AsFy + AsrFysr + Acfc
Initial Imperfections:
Out-of-plumbness o = L/500Out-of-straightness o = L/1000 (sinusoidal)
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AISC 36010 Section I2: Calculation
of Axial Compressive Strength: EIeff10.5 (SRC)eff s s s sr c cEI E I E I C E I
1 0.1 2 0.3s
c s
AC
A A
3 (CFT)eff s s s sr c cEI E I E I C E I
3 0.6 2 0.9s
c s
AC
A A
/ 2
0/
Composite Axial Compressive Strength
from Benchmark Study
CCFT RCFT
SRC(strongaxis)
SRC(weakaxis)
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Proposed Formula for Axial
Compressive Strength of SRCs, 1, (SRC)eff proposed s s s sr proposed c cEI E I E I C E I
1,
20.60 0.75sproposed
g
AC
A
SRC(strongaxis) SRC(weakaxis)
Axial Compressive Strength of SRCColumns: Experimental Validation
, 1, (SRC)eff proposed s s s sr proposed c cEI E I E I C E I
1,
20.60 0.75sproposed
g
AC
A
0 0.5 1 1.50
0.5
1
1.5
oe,proposed
Pexp
/Pno,p
ropose
d
Column Curv e
Anslijn & Janss 1974
Chen, Astaneh-Asl, & Moehle 1992
Han & Kim 1995
Han, Kim, & Kim 1992
Roderick & Loke 1975
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Benchmark Study Results:
Secant Values of EIelastic for Elastic Analysis
0 0.5 1 1.50
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Normalized Bending Moment (M/Mn)
Section 13: RCFT-E-4, Frame 37: UA-67-g1
Norma
lize
dAx
ialCompress
ion
(P/P
no
)
0.4
0.6
0.8
1
elastic
s s c c
EI
E I E I
Serviceability Level
Strength/1.6
0 0.5 1 1.50
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Normalized Bending Moment (M/Mn)
Section 4: RCFT-B-4, Frame 37: UA-67-g1
Norma
lize
dAx
ialCompress
ion
(P/P
no
)
0.4
0.5
0.6
0.7
0.8
0.9
1First-OrderApplied Load
Interaction
elastic
s s c c
EI
E I E I
EIelasticvalue provides comparable deflection to fully nonlinear
analysis for forces shown
CalculationofRequiredStrengthsAnalysisRequirements
SecondOrderElastic Analysis
ConsiderationofInitialImperfections
AdjustmentstoStiffness
CalculationofAvailableStrengthsChaptersDthoughKwithoutfurther
considerationofoverallstructurestability
0.8
0.8
DA b elastic
DA elastic
EI EI
EA EA
0.002i i
N Y
AISC 36010 Direct Analysis MethodChapter C
1K
Mr
Pr
cPn,K=1
cPn,K=K
EffectiveLength
FactorMethod
DirectAnalysis
Method
Distributed
Plasticity
Analysis
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Direct Analysis
Fromapracticalstandpointitisbestto
maintainastiffnessreductionof0.8b
Thus,differencesbetweencompositeand
steelmaybeembodiedinproposedEIelastic:
0.8DA b elasticEI EI
1.0 for 0.5
4 1 for 0.5
r no
b
r no r no r no
P P
P P P P P P
10.75 (SRC)elastic s s s sr c cEI E I E I C E I
30.75 (CFT)elastic s s c cEI E I C E I
Composite Interaction StrengthP
M
(PA,0)
(PA,0)
(PC,MC)
(PC,MC)
(0,MB)
Nominal
Section
Strength
Nominal
Beam-Column
Strength
= Pn/Pno
(PA,0)
(PA,0)
(PC,MC)
(CPA,0.9BMB)
(0,BMB) (0,MB)
Nominal
Beam-Column
Strength
P
M
= Pn/PnoNominal
Section
Strength
for 0.5
0.2 0.5 for 0.5 1.5
0.2 for 1.5
C A oe
C C A C A oe oe
oe
P P
P P P P
1 for 1
1 0.2 1 for 1 2
0.8 for 2
oe
B oe oe
oe
AISC2010 Proposed
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Variation of the Composite Interaction
Diagram with Slenderness
0
1
2
30 0.5 1 1.5
0
0.2
0.4
0.6
0.8
1
1.2
NormalizedBendingMoment(M/Mn)
No
rmalizedAxialLoad(P/P
no
)
CFTBondProvisionsinAISC36010
ForCCFT:
Rn=0.25D2CinFin
ForRCFT:
Rn=B2CinFin
where,
Rn =nominalbondstrength,kips
Cin =2iftheCFTextendstoonesideofthepointofforcetransfer
=4iftheCFTextendstobothsidesofthepointofforcetransfer
Fin =nominalbondstress=60psi
B =overallwidthofrectangularsteelsectionalongfacetransferringload,in.
D =outsidediameteroftheroundsteelsection,in.
=0.45=3.33
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ExperimentalSetupsfor
AssessingBondStrength
(a) Push-off test(b) Push-out test
without shear tabs
(c) Push-out test
with shear tabs
(d) Typical CFT
connection
Air Gap
Air Gap
ProposedDesignProvisionsForCCFT:
Rn=DLbondFin
Lbond=CinD
Fin=30.9(t/D2)0.2
ForRCFT:
Rn=2(B+H)LbondFin
Lbond=CinH
Fin=12.8(t/H2)0.1
where,
Rn =nominalbondstrength,kipsFin =nominalbondstress,ksi
t =designwallthicknessofsteelsection,in.
B =overallwidthofrectangularsteelsection(B H),in.
H =overallheightofrectangularsteelsection(H B),in.
D =outsidediameterofroundsteelsection,in.
Lbond =lengthofthebondregion(thebondregionofadjacentconnectionsshallnotoverlap),in.
Cin =4ifloadisappliedtothesteeltubeandtheCFTextendstobothsidesofthepointofforcetransfer
=2otherwise
ForRCFT:BothLbondandFinarebased
onthelargerlateraldimensionofthetube(H B)
=0.50,=3.00
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Seismic Performance Factors:
FEMA P695 Archetype Frame Study:
Selection and Design of Archetype Frames
= Location of Braced Frame= Fully Restrained Connections
= Shear Connections
MomentFrames BracedFrames
Selected Composite Archetype FramesDesign
Gravity
Load
Bay
Width
Design
Seismic
Load
Conc.
Strength
(fc)
Index
MomentFrames BracedFrames
RCFT RCFT SRC RCFTCd CCFT CCFT
3Stories 9Stories 3Stories 3Stories 3Stories 9Stories
High 20 Dmax 4 ksi 1
High 20 Dmax 12ksi 2
High 20 Dmin 4 ksi 3
High 20 Dmin 12ksi 4
High 30 Dmax 4 ksi 5
High 30 Dmax 12ksi 6
High 30 Dmin 4 ksi 7
High 30 Dmin 12ksi 8
Low 20 Dmax 4 ksi 9
Low 20 Dmax 12ksi 10
Low 20 Dmin 4 ksi 11
Low 20 Dmin 12ksi 12
Low 30 Dmax 4 ksi 13
Low 30 Dmax 12ksi 14
Low 30 Dmin 4 ksi 15
Low 30 Dmin 12ksi 16
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Typical Composite Connection Region Modeling:
Validated Against Tests
Rigid Links
Zero Length Spring
Representing the
Panel Zone Shear
Behavior
Nonlinear
Column
Element
Nonlinear
Beam
Element
Elastic
Beam
Element
Nonlinearstressresultantspacemultisurface
kinematichardeningmodelusedforrotational
springformulation(afterMuhummud 2003)
Rigid
Links
Nonlinear
Column
Element
Nonlinear
Beam
Element
Nonlinear
Brace
Element
Moment
Release
Modelingassumptionsestablished
byHsiaoetal.(2012)
Evaluation ofSeismic Performance Factors
Archetypeframesarecategorizedintoperformance
groupsbasedonbasicstructuralcharacteristics
Group
Number
Design
GravityLoad
Level
Design
SeismicLoad
Level
Period
Domain
Numberof
CSMFs
Number of
CSCBFs
PG1 High Dmax Short 6 4
PG2 High Dmax Long 2 2
PG3 High Dmin Short 6 4
PG4 High Dmin Long 2 2
PG5 Low Dmax Short 6 4
PG6 Low Dmax Long 2 2
PG7 Low Dmin Short 6 4
PG8 Low Dmin Long 2 2
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Typical Static Pushover Analysis
0 10 20 30 40 50 600
100
200
300
400
500
600
700
800
900
1000
Roof Displacement (in)
Base
Shear
(kips
)
Vmax
= 879.3 kips
V80
= 703.4 kips
V = 153.9 kips
u
=50
.8in
SFRS: C-SMF, Frame: RCFT-3-1
System Overstrength Factor, o
BytheFEMAP695methodology,oshouldbetakenasthelargestaveragevalueoffromanyperformancegroup Roundedtonearest0.5
Upperlimitsof1.5Rand3.0
HighoverstrengthforCSMFs Displacementcontrolleddesign
Currentvalue(o=3.0)isupperlimitandisacceptable
OverstrengthforCSCBFsnearcurrentvalue(o=2.0) HigherforPG3andPG4(Highgravity
load,SDCDmin)
Group
Number
Average
CSMF CSCBF
PG1 5.9 2.1
PG2 5.3 1.9
PG3 7.6 2.8
PG4 9.9 2.7
PG5 6.2 1.8
PG6 5.5 1.7
PG7 7.5 2.3
PG8 6.5 2.2
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Typical Dynamic Time History Analyses:
Incremental Dynamic Analysis
0% 5% 10% 15%0
2
4
6
8
10
12
14
16
18
Maximum Story Drift
ST
=S
MT
SF
2(g)
SFRS: C-SMF, Frame: RCFT-3-1
5.72CTS g
1.50MTS g
Response Modification Factor, R ACMR10%=AcceptablevalueoftheAdjusted
CollapseMarginRatiofor10%collapse
probability
ACMR10%=1.96forbothCSMFandCSCBF
andarelessthantheACMRshownforeach
performancegroupinthetable
SimilarlypositiveresultsforACMR20%per
frame
ACMRvaluesshowcorrelationwiththe
overstrength
CSMFs
Currentvalue(R=8.0)isacceptable
CSCBFs
Currentvalue(R=5.0)isacceptable
Group
Number
ACMR
CSMF CSCBF
PG1 4.8 3.3
PG2 3.7 2.3
PG3 7.5 5.1
PG4 8.5 5.4
PG5 4.9 2.6
PG6 3.9 2.9
PG7 7.1 3.8
PG8 6.9 3.7
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Deflection Amplification Factor, Cd
BytheFEMAP695methodology,Cd=Rforthesesystems
WouldrepresentaminorchangeforCSCBF Currentvalues:Cd=4.5,R=5.0
Typicallystrengthcontrolleddesign
WouldrepresentasignificantchangeforCSMF Currentvalues:Cd=5.5,R=8.0
Typicallyalreadydisplacementcontrolleddesign
FourCSMFarchetypeframesdesignedwiththecurrentC
dvalue
LoweroverstrengthwithcurrentCd(average4.9vs.6.4withCd=R)
AcceptableperformancewithcurrentCd
KeyConclusionsfromtheResearch
ExperimentalResearch
Acomprehensiveanduniquedatasetforaxialstrengthandbeamcolumn
strengthhasbeengeneratedforslenderCCFTsandRCFTs.
CFTsdemonstratedgreattoughnessundercomplexcyclicloadings.
Localbucklingdidnotleadtosubstantialstrengthorstiffnesslosses.
ComputationalResearch
Newmixedelementanalysisformulationdevelopedforcompositebeam
columns Compositebeamcolumnsexhibitrobustperformanceunderseverecyclic
loading
Analysisformulationenablesbenchmarkstudiesofstabilityandstrength
ofcompositeframes(nonseismicandseismic)
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ProposalsforAISC36016(2016)
SpecificationforStructuralSteelBuildings
Newcommentaryonaddressingwetweightofconcreteduringconcrete
pourforCFTs
NewEIeffvalueforcalculatingcolumnstrengthofSRCstobetterreflect
computationaldata
Newrecommendations forEIelastic valuetouseforcalculatingelastic
stiffnessofCFTsandSRCsforuseinelasticanalysisanduseinDirect
Analysis
Newinteractionequationthataddressespossibleunconservative errors
forveryslendercompositemembers
NewCFTbondprovisionsthatmoreaccuratelyreflectthechangeinbond
strengthwithCFTdiameterandthatclarifyhowtocomputebondstrength
inloadtransferregions
ValidationofcurrentseismicperformancefactorsinASCE710and
recommendationtoconsiderincreasingthedeflectioncriteriaforCSMFs
ifCd=R
FutureWork
FinalizerecommendationsforAISC36016
Prequalifiedcompositeconnections
Incorporatecreepandshrinkageeffectsintodesignof
compositesystems
Effectsofelevatedtemperatureincompositesystems,and
effectsofinternalreinforcement
Innovativecompositeframingsystems:
Prefabricatedcompositeconstructionsystems Integrationofnewmaterials,includinghigherstrength
materials
Etc.
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ThankYouNEESProjectWarehouse:https://nees.org/warehouse/project/440
440 SystemBehaviorFactorsforCompositeandMixedStructuralSystem
RobertoT.Leon,JeromeF.Hajjar,Nakin Suksawang
ReferencesandalistofpapersandpublicationsforthisworkareavailableattheNEES
siteforthiswebinar: https://nees.org/events/details/190
TheworkdescribedhereispartofaNEESRprojectsupportedbytheNationalScienceFoundationunderGrantNo.CMMI0619047,theAmericanInstituteofSteel
Construction,theGeorgiaInstituteofTechnology,andtheUniversityofIllinoisat
UrbanaChampaign. TheseexperimentswereconductedattheMultiaxial
Subassemablage TestingSystem(MAST)attheUniversityofMinnesota.
InKind: