1. SWANSON School of Engineering
CONCRETE MIXTURE PROPERTIES AFFECTING
THE
AGGREGATE INTERLOCK MECHANISM OF
JOINTS AND CRACKS
FOR RIGID PAVEMENT SYSTEMS
LUIS CARLOS RAMIREZ
Advisor : Dr. Julie Vandenbossche
Masters Thesis Defense
November 19, 2010
5. INTRODUCTION
Aggregate Interlock Mechanism
PCC Slab
Base
LTEjoint=LTEbase+LTEAGG
20%-40%
AGG= Joint Spring Stiffness
Masters Thesis Defense 11/19/2010
6. INTRODUCTION
Factors Affecting the Aggregate Interlock Mechanism
Crack Surface Texture
Crack width
CA Top CA Matrix CA CA
Size Hardness Strength Gradation Angularity
Masters Thesis Defense 11/19/2010
9. RESEARCH OBJECTIVES
1. Establish a relationship between PCC properties and LTE.
LTE.
2. Establish a relationship between PCC properties and AGG.
AGG.
3. Investigate the effect of PCC properties on fracture
parameters.
4. Determine influence of fracture parameters on the
aggregate interlock.
Masters Thesis Defense 11/19/2010
10. METHODOLOGY
Select Cast
Identify
Data Points Specimens
Data Gaps
to Include & Testing
Data
Calculate
Selection
Results
Previous
from Tests
Studies
Data
Analyzed
Statistical Analysis of Development
Combined
Data Fitting Results of Models
Data
Masters Thesis Defense 11/19/2010
11. Full Factorial Design Matrix
LA Category CA Top Size (in) w/c ratio Category Existent
Low strength
0.75 Medium strength
High strength
Low strength
Low resistance to abrasion 1.5 Medium strength
EXECUTION
High strength
Low strength
2.5 Medium strength
High strength
Low strength
0.75 Medium strength
High strength
Low strength
Medium resistance to abrasion 1.5 Medium strength
High strength
Low strength
2.5 Medium strength
High strength
Low strength
0.75 Medium strength
High strength
Low strength
High resistance to abrasion 1.5 Medium strength
High strength
Low strength
2.5 Medium strength
High strength
Masters Thesis Defense 11/19/2010
12. EXECUTION
Concrete Mixtures Properties
Concrete Mix
LS_0.75_17_0.4 LS_0.75_17_0.45 SL_1.25_34_0.4 SL_0.75_34_0.4 SL_0.75_34_0.45
ID
Aggregate
Type
Limestone Limestone Slag Slag Slag
Top
Aggregate 0.75 0.75 1.25 0.75 0.75
Size (in)
Coarse
Aggregate
Volumetric
44
Proportion (%)
Water-to-
Cement Ratio
0.4 0.45 0.4 0.4 0.45
LA Value (%) 17 34
Absorption 0.5 4.78
Capacity, (%)
Bulk Specific 2.71 2.35
Gravity
CA Gradation AASHTO No. 57
Masters Thesis Defense 11/19/2010
13. EXECUTION
Testing Program
Day 1 Day 28
Fracture Energy Fracture Energy
Test RILEM TPM Test RILEM TPM
1990 1990
(4 specimens per (4 specimens per
mixture) mixture) Volumetric
Surface Texture
VST Test
(35 Fractured
Flexural Strength Faces)
Test ASTM C78
(3 specimens per
mixture)
Masters Thesis Defense 11/19/2010
17. RESULTS AND ANALYSIS
VSTR f(CA Top Size, CA LA) w/c ratio =0.45
0.60000
0.50000-0.60000
0.50000
0.40000-0.50000
VSTR (in3/in2)
0.40000 0.30000-0.40000
0.20000-0.30000
0.30000
0.10000-0.20000
0.20000 0.00000-0.10000
0.10000
0.00000
16
21
26
31
LA (%) 37 2.34
2.02
42 1.71
1.39 CA top size(%)
1.07
0.75
Masters Thesis Defense 11/19/2010
18. RESULTS AND ANALYSIS
VSTR f(CA LA, w/c ratio) CA Top size = 1 in
0.35000
0.30000
VSTR (in3/in2)
0.25000 0.30000-0.35000
0.20000 0.25000-0.30000
0.15000 0.20000-0.25000
0.15000-0.20000
0.10000
0.10000-0.15000
0.05000
0.05000-0.10000
0.00000
0.38
0.40 0.00000-0.05000
0.43
w/c ratio 0.45
43
0.48 38
32
27 LA (%)
21
16
Masters Thesis Defense 11/19/2010
19. RESULTS AND ANALYSIS
LTE Model
VST
LTE = 39.7 ⋅ log + 5.6
cw
R2=0.95
Adjusted R2 =0.90
VST = VTSR ⋅ t eff
teff
Vandenbossche (1999)
[(0.3689 + 0.5004 ∗ TS − 24.5162 ∗ (1/ LA) − 0.0540 ∗ w / c + 0.2049 ∗ TS 2 −
LTE = 39.7 ⋅ log{
2.2665∗ TS ∗ w / c + 61.5434∗(w _ c / LA)]∗ 2.54 * teff
} + 5.6
cw
LTE= Load Transfer Efficiency (%)
VST=Volumetric Surface Texture (in3/in)
VSTR =Volumetric Surface Texture Ratio (in3/in2)
TS = Aggregate Top Size(in)
LA = LA Abrasion (%)
w/c =w/c ratio
Masters Thesis Defense 11/19/2010 teff= Slab Effective Thickness (cm)
cw= Crack Width (cm)
20. RESULTS AND ANALYSIS
100
90 0.75 in
80
LTE (%)
1 in
70
60 1.5 in
50
40 2 in
0 20 40 60 80 100 120
LTE vs. Crack Width Crack width (mils)
100
Jensen & Hansen (2001) 90 Predicted 1in
Slab thickness =10 in
Limestone LA =34% , TS =1in
Gravel LA 22%, TS=2iin 80
Mesured 1 in
LTE (%)
70
Predicted 2 in
60
50 Measured 2 in
40
0 20 40 60 80 100 120
Masters Thesis Defense 11/19/2010 Crack width (mils)
21. RESULTS AND ANALYSIS
AGG Model
100
90
...
80
1
−1.17786
70
− 0.01
Load Transfer Efficiency, %
60
AGG = LTE ⋅k⋅l
0.012
50
40
30
20 Crovetti (1994)
10
0 Ioannides et. al (1990)
0.01 0.1 1 10 100 1000
Nondimensional Stiffness, AGG/kl
[(0.3689 + 0.5004 ∗ TS − 24.5162 ∗ (1/ LA) − 0.0540 ∗ w / c + 0.2049 ∗ TS 2 −
LTE = 39.7 ⋅ log{
2.2665∗ TS ∗ w / c + 61.5434∗(w _ c / LA)]∗ 2.54 * teff
} + 5.6
cw
LTE= Load Transfer Efficiency (%)
VST=Volumetric Surface Texture (in3/in)
0.25 VSTR =Volumetric Surface Texture Ratio (in3/in2)
Eh3 TS = Aggregate Top Size(in)
l=
12 ⋅ (1− ν 2 )k
LA = LA Abrasion (%)
w/c =w/c ratio
teff= Slab Effective Thickness (cm)
cw= Crack Width (cm)
k= Modulus of Subgrade Reaction (psi/in)
Masters Thesis Defense 11/19/2010 l = Radius of Relative Stiffness (in)
22. RESULTS AND ANALYSIS
AGG f(LA, w/c ratio) k =200 psi
l= 30 in
cw=0.08 in
teff=11 in
CA top size= 1 in
7.00E+04
6.00E+04
5.00E+04
AGG (psi)
4.00E+04 6.00E+04-7.00E+04
5.00E+04-6.00E+04
3.00E+04
4.00E+04-5.00E+04
2.00E+04 3.00E+04-4.00E+04
1.00E+04 2.00E+04-3.00E+04
1.00E+04-2.00E+04
4.00E+01
0.38
0.40 4.00E+01-1.00E+04
0.42
w/c ratio 0.44
0.46
0.48 43 46
32 35 38 40
24 27 30 LA (%)
16 19 21
Masters Thesis Defense 11/19/2010
23. CONCLUSIONS
Development of VSTR model
VSTR = f (w/c, TS, LA).
Development of LTE model
LTE = f (w/c, TS, LA, cw, t)
Development of AGG model
AGG= f (w/c, TS, LA, cw, t, k, l)
Masters Thesis Defense 11/19/2010
24. FUTURE WORK
To expand and additional validation of VSTR model.
To incorporate AGG model into the MEPDG.
To investigate the effect of additional PCC properties on the
surface texture.
To investigate the relationship between concrete fracture
parameters and the aggregate interlock mechanism.
Masters Thesis Defense 11/19/2010