The Effect of Autogenous Shrinkage on Flexural Cracking Behavior of Reinforced HSC Beams and...
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![Page 1: The Effect of Autogenous Shrinkage on Flexural Cracking Behavior of Reinforced HSC Beams and Improvement by Using Low-shrinkage HSC Fourth International.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b1f7f8b9ab059994c17/html5/thumbnails/1.jpg)
The Effect of Autogenous Shrinkage on FlexThe Effect of Autogenous Shrinkage on Flexural Cracking Behavior of ural Cracking Behavior of
Reinforced HSC Beams and Improvement by Reinforced HSC Beams and Improvement by Using Low-shrinkage HSCUsing Low-shrinkage HSC
Fourth International Seminar on Self-desiccation and Its Importance in Concrete Technology 20/June/05, Gaithersburg, Maryland, USA
Masahiro SUZUKIMasahiro SUZUKI P.S. Mitsubishi Construction Co., Ltd., JapanP.S. Mitsubishi Construction Co., Ltd., JapanMakoto TANIMURAMakoto TANIMURA Taiheiyo Cement Corporation, JapanTaiheiyo Cement Corporation, JapanRyoichi SATORyoichi SATO Hiroshima University, JapanHiroshima University, Japan
1
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Autogenous shrinkage (AS) properties of HSC using Autogenous shrinkage (AS) properties of HSC using various materialsvarious materials Comprehensive approach for reducing ASComprehensive approach for reducing AS----- well studied!! ----- well studied!!
Evaluation of AS effect on cracking performance of RC Evaluation of AS effect on cracking performance of RC flexural beams, effectiveness of low shrinkage-HSC on the flexural beams, effectiveness of low shrinkage-HSC on the improvement of cracking performanceimprovement of cracking performanceCalculation method for crack width of RC beam Calculation method for crack width of RC beam considering shrinkage/expansion effect before loadingconsidering shrinkage/expansion effect before loading
However, few investigations on the effect of AS on However, few investigations on the effect of AS on structural performance. Only a few reports on structural performance. Only a few reports on evaluation method for cracking behavior considering AS evaluation method for cracking behavior considering AS ObjectivesObjectives
BackgroundBackground 2
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RC beam specimenRC beam specimen
40
125
210
40120
40
100
2100
2700
Thermo couple
(Tension reinforcement ratio ; 1.36%)
Anchorage Area
Wire strain gauge
Tested zone
Contact gauge (20@40)
Load
Displacement transducer50 90 80 80
D19
800100
125
40
125
210
40120
40
100
2100
2700
Thermo couple
(Tension reinforcement ratio ; 1.36%)
Anchorage Area
Wire strain gauge
Tested zone
Contact gauge (20@40)
Load
Displacement transducer50 90 80 80
D19
800100
125
(Unit; mm)
Dimension; 200x250x2700 mmTwo-point loading; span:2100mm, pure flexural zone:800mm
EvaluationsEvaluationsBefore loadingBefore loading Steel strainSteel strain Restrained stress on bottom fiberRestrained stress on bottom fiberUnder short-term loadingUnder short-term loading - Crack width; Contact-type strain gauge- Crack width; Contact-type strain gauge
3
Crack widthCrack width
Sealed curing period;30-50 days
Steel strainSteel strain
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Mixture investigatedMixture investigated
W/(C+EX); 0.3W/(C+EX); 0.3 EX content; 40 kg/mEX content; 40 kg/m33
SRA content; 6 kg/mSRA content; 6 kg/m33
Targeted concrete strength; 70 N/mmTargeted concrete strength; 70 N/mm22 at 28 days at 28 days
ConCon NCNC NENE NSNS NESNES LCLC LELE LSLS LESLES
CemCem Ordinary PortlandOrdinary Portland Belite-rich low heat PoBelite-rich low heat Portlandrtland
EXEX -- AdAdd.d. -- AddAdd
.. -- AdAdd.d. -- AdAd
d.d.
SRASRA -- -- AdAdd.d.
AddAdd.. -- -- AdAd
d.d.AdAdd.d.
4
Low-shrinakge HSCsLow-shrinakge HSCsReference HSCReference HSC
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Equation for calculating restrained stress on Equation for calculating restrained stress on extreme bottom fiber extreme bottom fiber
cc
gg
c
scssss A/I
)Ch)(Cd(1
AP,AEP
sP: axial force in reinforcement, sE: Young’s modulus of reinforcement
s: measured strain in reinforcement, sA: cross-sectional area of reinforcement
c: stress on the extreme bottom fiber, cI: moment of inertia of gross concrete section
cA: cross-sectional area of concrete, d: effective depth, h: height of beam
gC: distance from the extreme upper fiber to the centroid of the gross concrete section
Equilibrium of the force between concrete and rebarEquilibrium of the force between concrete and rebar Navier’s assumptionNavier’s assumption
5
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-2
-1
0
1
2
0.1 1 10 100
NCNENSNES
LCLELSLES
Res
trai
ned
stre
ss a
t ext
rem
e bo
ttom
fibe
r
(
N/m
m2 )
Temperature adjusted concrete age (days)
(Compression)
(Tension)
Restrained-shrinkage/expansion stressRestrained-shrinkage/expansion stress 6
Tension
Compression
1.5 N/mm2
- 1.5 N/mm2
Low-shrinkage HSCs are obviously effective in reducing Low-shrinkage HSCs are obviously effective in reducing AS-restrained stress.AS-restrained stress.
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0
0.5
1
1.5
2
2.5
3
NC NE NS NES LC LE LS LES
Measured valueCalculated value neglecting restrained stress
Rat
io o
f fle
xura
l cra
ckin
g m
omen
t (N
C=1
.0)
Mixture
6.6kNm11kNm
Flexural cracking momentFlexural cracking moment 7
AS-restrained stress affects cracking load significantly.AS-restrained stress affects cracking load significantly. LS-HSC markedly improve cracking load.LS-HSC markedly improve cracking load.
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0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
NC NE NS NES LC LE LS LES
Maximum crack widthMaximum crack spacing
Rat
io o
f max
imum
cra
ck w
idth
or
crac
k sp
acin
g
(N
C=1
.0)
Mixture
Reinforcement stress=200N/mm2
0.16mm165mm
Maximum crack width/crack spacingMaximum crack width/crack spacing 8
LS-HSCs improve cracking performance significantly.LS-HSCs improve cracking performance significantly. --Decrease in crack width, while increase in crack spacing!!--Decrease in crack width, while increase in crack spacing!!
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● :Stress in concrete at the depth of tension reinforcement is zero○ :Strain in tension reinforcement just before loading
Restrained stress intension
Expansion
No length change
ShrinkageRestrained stressin compresssion
Cracked section
M
ex,crM
non,crM
sh,crM
sh,sεnon,sε
ex,sεsh,0sε
ex,0sεsh,siε
ex,siε
Full section
ex,0M
sh,0M
Steel strain
Ben
ding
mom
ent
M
sε
● :Stress in concrete at the depth of tension reinforcement is zero○ :Strain in tension reinforcement just before loading
Restrained stress intension
Expansion
No length change
ShrinkageRestrained stressin compresssion
Cracked section
M
ex,crM
non,crM
sh,crM
sh,sεnon,sε
ex,sεsh,0sε
ex,0sεsh,siε
ex,siε
Full section
ex,0M
sh,0M
Steel strain
Ben
ding
mom
ent
M
sε
General evaluation method for crack width considering General evaluation method for crack width considering shrinkage/expansion effect before loadingshrinkage/expansion effect before loading
This concept incorporated into JSCE CODE-2002This concept incorporated into JSCE CODE-2002
9
Diferrenec in elastic strain component between steel and concrete; affect crack width
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JSCE Code Equation for maximum crack widthJSCE Code Equation for maximum crack width
csd
s
ses321 '
Ec7.0c4kkk1.1maxW
se: stress change in tension reinforcement from the zero stress in concrete at the depth of the tension reinforcement (N/mm2)
1k: coefficient depending on geometric details of surface of reinforcement
2k: coefficient which considers the influence of concrete quality on bond characteristics given by: 7.0)20'f(15k c2 , c'f : compressive strength of concrete (N/mm2)
3k: coefficient which considers the influence of multi-layers arrangement of reinforcement c: cover (mm), sc: center-to-center distance of reinforcement (mm) : diameter of reinforcement (mm)
csd' : strain which considers the influence of creep and shrinkage on increased crack width with time
10
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0
0.05
0.1
0.15
0.2
0.25
0.3
0 100 200 300 400
NCNENSNES
LCLELSLES
Max
imum
cra
ck w
idth
(mm
)
Reinforcement stress (N/mm2)
Verification of proposed concept for evaluating Verification of proposed concept for evaluating maximum crack width (1)maximum crack width (1)
JSCE CODE-1996JSCE CODE-1996
0
0.05
0.1
0.15
0.2
0.25
0.3
0 100 200 300 400
NCNENSNES
LCLELSLES
Max
imum
cra
ck w
idth
(mm
)
Reinforcement stress (N/mm2)
Improved accuracy
JSCE CODE-2002JSCE CODE-2002
11
Significant effect of AS on crack width; Reference HSC has 250x10-6 of steel stress at zero stress state; this means the influence of 25% for the steel stress of 200MPa(=1000x10-6)
Reinforcement stress (N/mm2) Reinforcement stress change(N/mm2)
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Verification of proposed concept for evaluating Verification of proposed concept for evaluating maximum crack width (2)maximum crack width (2)
12
0
0.5
1
1.5
2
NC NE NS NES LC LE LS LES
Considering restrained stressNeglecting restrained stress
Rat
io o
f cal
cula
ted
Wm
ax to
mae
sure
d W
max
Mixture
Reinforcement stress=200N/mm2
0
0.05
0.1
0.15
0.2
0.25
0.3
-300 -200 -100 0 100 200 300
Measured valueCalculated value considering restrained stressCalculated value neglecting restrained stress
Max
imum
cra
ck w
idth
(mm
)
Reinforcement strain at zero stress state (x10-6)
Reinforcement stress=200N/mm2
(Shrinkage) (Expansion)
Conventional RC theory cannot evaluate the tendency of Conventional RC theory cannot evaluate the tendency of crack width of RC beams with AS and expansion.crack width of RC beams with AS and expansion. Proposed concept has acceptable accuracy for evaluating Proposed concept has acceptable accuracy for evaluating crack width.crack width.
Proposedconcept
Measured
Conventional theory
Range of conventional theory
Range of Proposedconcept
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AS decreases significantly the cracking performances oAS decreases significantly the cracking performances of Reinforced HSC flexural beams.f Reinforced HSC flexural beams.
LS-HSCs markedly improve the flexural cracking perfoLS-HSCs markedly improve the flexural cracking performances; the combined use of Belite-rich low heat Portlanrmances; the combined use of Belite-rich low heat Portland cement and expansive additive is particularly effective.d cement and expansive additive is particularly effective.
It is verified that a new concept can evaluate crack widtIt is verified that a new concept can evaluate crack widths of the RC beams with wider range of early age deformahs of the RC beams with wider range of early age deformation with acceptable accuracy. This concept was adopted ition with acceptable accuracy. This concept was adopted into JSCE Code equation.nto JSCE Code equation.
ConclusionsConclusions 13
Time-dependent structural performance of LS-HSC beams will be presented by TANIMURA, at 7th HS/HPC symposium.
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Thank you !!Thank you !!
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Specimen for autogenous shrinkage measurementSpecimen for autogenous shrinkage measurement
250
125
100 100
20012
5
250 250
500
Embedded gauge Thermo couple
250
125
100 100
20012
5
250 250
500
Embedded gauge Thermo couple
Unit; mm
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-600
-400
-200
0
200
400
600
0.1 1 10 100 1000
NCNENSNES
LCLELSLES
Aut
ogen
ous s
hrin
kage
/exp
ansi
on st
rain
(x10
-6)
Temperature adjusted concrete age (days)
(Shrinkage)
(Expansion)
Autogenous shrinkage/expansion strainAutogenous shrinkage/expansion strain
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High-mechanical performance and high-durability
Necessity of low-shrinkage HSCNecessity of low-shrinkage HSC
Significant autogenous shrinkage
Tensile restrained-stress before loading
Deterioration of serviceability performance of RC members
Low-shrinkage HSC-High cracking -High cracking resistanceresistance-Durable RC structure-Durable RC structure
High-strength
Low shrinkage
High-flowability
Assignment
Additional performance
generalization
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Approach for low-shrinkage HSCApproach for low-shrinkage HSC
Belite-rich Portland cement
Low-heat Portland cement
Special admixturesLow-shrinkage cement
Expansive additive
Shrinkage reducing agent
Aut
ogen
ous
stra
in
LPCLPC
Conventional HSCConventional HSC
EX+SRAEX+SRA
EXEX
SRASRA
Combination
Expansion rather than shrinkage
Aut
ogen
ous
stra
in
Age
Control of autogenous shrinkage