An Evaluation of the Effects of Various Test Parameters on the
Air Voids of Asphalt Concrete Specimens
John P. Zaniewski, Ph.D.
Matthew Hypes
Asphalt Technology Program
Department of Civil and Environmental Engineering
Morgantown, West Virginia
January, 2008
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NOTICE
The contents of this report reflect the views of the authors who are responsible for the
facts and the accuracy of the data presented herein. The contents do not necessarily
reflect the official views or policies of the State or the Federal Highway Administration.
This report does not constitute a standard, specification, or regulation. Trade or
manufacturer names which may appear herein are cited only because they are considered
essential to the objectives of this report. The United States Government and the State of
West Virginia do not endorse products or manufacturers. This report is prepared for the
West Virginia Department of Transportation, Division of Highways, in cooperation with
the US Department of Transportation, Federal Highway Administration.
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Technical Report Documentation Page 1. Report No. 2. Government
Association No. 3. Recipient's catalog No.
4. Title and Subtitle An Evaluation of the Effects of Various Test Parameters on the Air Voids of Asphalt Concrete Specimens
5. Report Date January, 2008 6. Performing Organization Code
7. Author(s) John P. Zaniewski, Matthew Hypes
8. Performing Organization Report No.
9. Performing Organization Name and Address Asphalt Technology Program Department of Civil and Environmental Engineering West Virginia University P.O. Box 6103 Morgantown, WV 26506-6103
10. Work Unit No. (TRAIS) 11. Contract or Grant No. RP 122
12. Sponsoring Agency Name and Address West Virginia Division of Highways 1900 Washington St. East Charleston, WV 25305
13. Type of Report and Period Covered 14. Sponsoring Agency Code
15. Supplementary Notes Performed in Cooperation with the U.S. Department of Transportation - Federal Highway Administration 16. Abstract The Superpave mix design protocol was developed with goals of minimizing premature failures, reduced maintenance costs, and increased pavement life. Several researchers evaluated the various parameters controlled in AASHTO SuperPave mix design protocol, T312 and AASHTO R30. These projects focused on the major parameters which affect the preparation of samples, such as the operational parameters for the SuperPave Gyratory Compactor. However, the AASHTO procedures also control a variety of other parameters which affect the preparation of the samples. In several cases, the research support for the specific requirements in the procedures is either limited in scope or non-existent This research evaluated variations of test parameters required by the AASHTO mix design protocol and their effects on air void levels of asphalt concrete specimens. Variations in mix temperatures, compaction temperatures, oven cure times, mold preheating times, and time to determine Bulk Specific Gravity (Gmb) values were evaluated using asphalt specimens prepared with two different aggregate types and two different binder types. The effects of the design parameters and their interactions were evaluated. The research demonstrated the voids in the total mix, VTM, is not sensitive to the parameters evaluated during this research. 17. Key Words Asphalt test variability, Superpave tests
18. Distribution Statement
19. Security Classif. (of this report) Unclassified
20. Security Classif. (of this page) Unclassified
21. No. Of Pages 64
22. Price
Form DOT F 1700.7 (8-72) Reproduction of completed page authorized
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TABLE OF CONTENTS
Chapter 1: Introduction ........................................................................................................1
1.1 Background ....................................................................................................................1
1.2 Problem Statement .........................................................................................................2
1.3 Objectives ......................................................................................................................2
1.4 Scope and Limitations....................................................................................................3
1.5 Report Summary ............................................................................................................4
Chapter 2: Literature Review ...............................................................................................5
2.1 Effect of Viscosity on Compaction ................................................................................5
2.2 Effect of Oven Aging ...................................................................................................16
2.3 Summary of Literature .................................................................................................22
Chapter 3: Research Methodology.....................................................................................24
3.1 Introduction ..................................................................................................................24
3.2 Experimental Design ....................................................................................................24
3.2 Aggregate Processing...................................................................................................28
3.3 Mix Preparation ...........................................................................................................29
3.4 Specimen Fabrication...................................................................................................30
3.5 Testing Procedure ........................................................................................................30
Chapter 4: Results and Analysis ........................................................................................33
4.1 Introduction ..................................................................................................................33
4.2 Effect of Time to Determine Bulk Specific Gravity ...................................................34
4.3 Analysis of Variance ....................................................................................................35
Chapter 5 Conclusions and Recommendations .................................................................39
5.1 Conclusions ..................................................................................................................39
5.2 Recommendations ........................................................................................................40
References ..........................................................................................................................41
Appendix A - Mix Design..................................................................................................42
Appendix B - Test Results .................................................................................................44
LIST OF FIGURES
Figure 2.1 Temperature vs. Gmb Relation for Asphalt Binders X and Y ............................ 7
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Figure 2.2 Gmb vs Temperature for Multigrade and Unmodified 1 for Mix 1 .................. 10
Figure 2.3 Stuart’s air voids versus compaction temperature. ......................................... 17
Figure 2.4 Short-Term Oven Aging Results ..................................................................... 20
Figure 2.5 Air Voids Versus Aging Temperature ............................................................. 21
Figure 2.6 Air Voids Versus Aging Duration ................................................................... 21
Figure 2.7 Air Voids Versus Compaction Temperature ................................................... 22
Figure 3.1 Fractional Factorial Design ............................................................................. 26
Figure 4.1 Summary of Results (See Figure 3.1 for Sample Designations) ..................... 34
Figure B.1 Least Mean Squares Plots Aggregate Size ..................................................... 47
Figure B.2 Least Mean Squares Plots Mix Temperature .................................................. 47
Figure B.3 Least Mean Squares Plots Cure Time ............................................................. 48
Figure B.4 Least Mean Squares Plots Compaction Temperature ..................................... 49
Figure B.5 Least Mean Squares Plots Binder Type .......................................................... 49
Figure B.6 Least Mean Squares Plots Mold Preheat Time .............................................. 50
Figure B.7 Least Mean Squares Plots Agggregate Size and Mix Temperature................ 50
Figure B.8 Least Mean Squares Plot Aggregate Size and Cure Time .............................. 51
Figure B.9 Least Mean Squares Plots Aggregate Size and Compaction Temperature ..... 51
Figure B.10 Least Mean Squares Plots Aggregate Size and Mold Preheat Time ............. 52
Figure B.11 Least Mean Squares Plots Aggregate Size and Binder Type ........................ 53
Figure B.12 Least Mean Squares Plots Mixing and Compaction Temperature ............... 53
Figure B.13 Least Mean Squares Plots Mix Temperature and Cure Time ....................... 54
Figure B.14 Least Mean Squares Plots Mixing Temperature and Mold Preheat Time ... 54
Figure B.15 Least Mean Squares Plots Mixing Temperature and Binder Type ............... 55
Figure B.16 Least Mean Squares Plots Cure Time and Compaction Temperature .......... 56
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Figure B.17 Least Mean Squares Plots Cure Time and Mold Preheat Time .................... 56
Figure B.18 Least Mean Squares Plots Cure Time and Binder Type ............................... 57
Figure B.19 Least Mean Squares Plots Compaction Temperature and Mold Preheat Time
................................................................................................................................... 57
Figure B.20 Least Mean Squares Plots Compaction Temperature and Binder Type ....... 58
Figure B.21 Least Mean Squares Plots Binder Type and Mold Preheat Time ................. 58
LIST OF TABLES
Table 2.1 Estimated Compaction Temperatures for Equal Gmb Values ............................. 9
Table 2.2 Air Voids for the Mixtures with Diabase Aggregate and No Hydrated Lime. 13
Table 2.3 Air Voids for the Mixtures with Diabase Aggregate and 1.25 Percent Hydrated
Lime .......................................................................................................................... 14
Table 2.4 Air Voids for the Mixtures with Limestone Aggregate .................................... 15
Table 2.5 Summary of Short-Term Oven Aging Data ...................................................... 19
Table 3.1 Experiment Factors and Levels ......................................................................... 25
Table 3.2 Parameters for Each Sample Tested in the Fractional Factorial ....................... 27
Table 3.3 Stockpile Information ....................................................................................... 28
Table 4.1 Comparison of Contractor’s and WVU Asphalt Lab’s Results ........................ 33
Table 4.3 Student’s Paired T-Test Results for VTM Values ............................................ 35
Table 4.4 Summary of Fit Data......................................................................................... 36
Table 4.5 ANOVA Parameter Estimates .......................................................................... 37
Table A.1 19.5 NMAS Mix Design Gradation and Weighout Information ..................... 42
Table A.2 12.5 NMAS Mix Design Gradation and Weighout Information ..................... 43
Table B.1 Effect Tests (JMP Output) ............................................................................... 44
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Table B.2 Least Squares Means Tables (JMP Output) ..................................................... 44
Table B.2 Least Squares Means Tables (JMP Output) Continued ................................... 46
Table B.3 Data Sheet for VTM Determination After 1 Hour ........................................... 59
Table B.4 Data Sheet for VTM Determination After 24 Hours ...................................... 60
1
CHAPTER 1: INTRODUCTION
1.1 BACKGROUND
The SuperPave (SUperior PERforming Asphalt PAVEments) mix design system was
developed as a result of a five year, $150 Strategic Highway Research Program (SHRP)
(Tandon, 2004). The goal of the SHRP research was to minimize premature failures,
reduce pavement maintenance costs, increase pavement life, and reduce life-cycle costs
for hot-mix asphalt (HMA). The Marshall mix design system has been sufficient since
WWII, but today’s highway demands far exceed those of the past, thus the need for a new
and improved asphalt mix design system. The SuperPave mix design system has been
implemented by the majority of transportation agencies in the United States for HMA
mix designs due to its numerous benefits such as improved binders from enhanced lab-
aging procedures, a more comprehensive low-temperature testing protocol, improved mix
design procedure from the optimization of aggregate structure, and the use of a
compactor that better represents actual pavement characteristics (ARTBA, 2000).
These transportation agencies, along with paving contractors and construction materials
design and testing firms, use the SuperPave Gyratory Compactor (SGC) for not only the
HMA mix design, but for quality control and assurance testing (Buchanan, 2004). This
device produces specimens for analyses of both volumetric and mechanical properties of
asphalt concrete, as well as records data in order to provide a measure of the density
throughout the compaction process. The SGC is capable of measuring compactability so
that the tender mix behavior and similar compaction problems can be identified
(Yildirim, 2000).
Compaction in the laboratory is an extremely important element in the mix design
process, and in order to be effective, the mix design process must implement a laboratory
compaction method which closely simulates compaction in the field. Research conducted
by SHRP developed the SuperPave gyratory compactor specifications that are being
currently being used, as specified in AASHTO T 312. The gyratory parameters are:
• Vertical Consolidation Pressure of 600 kPa
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• Fixed Angle of Gyration of 1.25o, and
• Speed of Gyration of 30 rpm.
AASHTO T312 also describes the requirements for the mixing and compacting
temperatures, preheating time for the compaction mold, and cooling period for the
compacted sample prior to measuring masses for the computation of bulk specific gravity
(Gmb).
The period between mixing and compacting is referred to as curing. The procedure for
curing samples is described in AASHTO R30. Curing of laboratory samples for
volumetric mix design essentially consists of placing the mix in an oven at the specified
temperature for 2 hours.
1.2 PROBLEM STATEMENT
Several researchers have evaluated the various parameters controlled in AASHTO T312
and AASHTO R30. These projects focused on the major parameters which affect the
preparation of samples, such as the operational parameters for the SuperPave Gyratory
Compactor. However, the AASHTO procedures also control a variety of other parameters
which affect the preparation of the samples. In several cases, the research support for the
specific requirements in the procedures is either limited in scope or non-existent. For
example, the mixing and compacting temperatures used for the SuperPave Gyratory
Compactor were adopted from the Asphalt Institute’s recommendations. These
recommendations were originally developed for the Marshall and Hveem methods
(Roberts et al, 1996).
1.3 OBJECTIVES
The objectives of this project are to examine the differences in asphalt concrete
volumetric properties due to variations in the method for preparing samples for the
SuperPave Gyratory Compactor. In this study, variations in mix temperatures,
compaction temperatures, oven cure times, mold preheating times, and time to determine
Bulk Specific Gravity (Gmb) values were evaluated using asphalt specimens prepared
with two different aggregate types and two different binder types.
3
1.4 SCOPE AND LIMITATIONS
For this study, mixing and compaction temperatures were determined by the asphalt
cement supplier. ASTM D2493, Calculation of Mixing and Compaction Temperature,
was used as the reference temperatures for preparing the samples. In this standard, the
viscosity-temperature relationship is plotted providing a convenient means for
determining mixing and compaction temperatures.
Laboratory oven-curing time is a required step in the HMA mix design process. The
standard oven-curing time for HMA is two hours. The AASHTO Subcommittee for
Materials reduced the oven curing time to two hours from the initial recommendation of
four hours that was established by SHRP researchers. The fundamental purpose of oven
curing is to allow for absorption equivalent to the asphalt absorption that occurs during
field production. The AASHTO specification of a two-hour curing period is for the use
of non-absorptive aggregate, but a very significant percentage of HMA’s contain highly
absorptive aggregates and require a time of four hours for oven curing. If one fails to
increase oven curing time when highly absorptive aggregates are used, erroneous mix
specific gravities and volumetric property determinations will result (Horan, 2001).
Two production mixes were evaluated during this study. The mixes had Nominal
Maximum Aggregate Sizes (NMAS) of 9.5 mm and 12.5 mm. These mixes were
designed with a PG 76-22 binder. In order to determine if the binder grade affected the
results, a PG 64-22 binder was also used in the experiment. The mixes binders were
prepared at the same binder content as the production mixes.
The effect of mixing and compaction temperatures was studied for the two binders.
Since the temperature-viscosity relationship for the two binders is different, the
temperatures used in the experiments were varied by binder type. The temperatures used
for each binder corresponded to the upper and lower recommended temperatures based
on the equiviscosity concept in AASHTO T312.
The influence of cooling time on bulk specific gravity was studied and included in the
experiment. AASHTO T312 states that the samples should be cooled at room
temperature for 16 ± 1 hr, but the cooling can be accelerated with the use of a fan. The
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specification does not include a minimum cooling time when a fan is used. It is common
practice in West Virginia to cool the samples until they can be easily handled and are not
tender. To evaluate if cooling time affects bulk specific gravity of the mix, samples were
cooled in front of a fan for 1 hour. The weights needed for determining Gmb were then
measured. These samples were then allowed to cool to room temperature until the next
day and the weights were measured again. Use of the same samples in this manner
restricted the randomization of the experiment, so this factor was not analyzed in the
analysis of variance. The Student t-method was used to evaluate if the bulk specific
gravity was significantly altered by cooling time.
1.5 REPORT SUMMARY
This report is divided into 5 chapters and 2 appendices. Chapter 1 represents an
introduction to the project which is followed by a Literature Review in Chapter 2. In
Chapter 3, the research methodology is presented, including the processes used to process
the aggregates and fabricate the samples, the experimental approach, as well as the tests
necessary for the completion of the project were all discussed. Chapter 4 includes an
analysis of the results followed by Chapter 5 which discusses the conclusions and
recommendations.
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CHAPTER 2: LITERATURE REVIEW
A comprehensive literature review was performed to identify the research basis for the
mix design procedural criteria used for the SuperPave method. Literature was identified
for the effect of temperature on compaction, and the effects of temperature and aging
duration on air void content.
2.1 EFFECT OF VISCOSITY ON COMPACTION
The Asphalt Institute’s Mix Design Methods for Asphalt Concrete and Other Hot-Mix
Types (MS-2) recommended 170±20 centistokes and 280±30 centistokes, measured per
ASTM 2493, for mixing and compaction temperatures respectively for the Marshall mix
design. Thirty years later, these identical specifications, when adjusted for unit
conversion, are used in SuperPave, 0.17±0.20 Pa.s and 0.28±0.03 Pa.s for mixing and
compaction temperatures respectively. These viscosity parameters were established for
unmodified asphalt binders. However, due to the recent increases in traffics loads, high
performance, modified asphalt binders have been introduced which have a more complex
behavior than unmodified binders (Mostafa, 1999).
A study conducted by Yildirim et al. (2000) examined the effect that varying
temperatures have on bulk specific gravity of asphalt concrete. This study was an
attempt to devise an alternative to using ASTM D2493 to determine the mixing and
compaction temperatures of asphalt concrete. ASTM D2493 provides practical
temperatures for unmodified binders, but temperatures may become excessively high
when working with modified binders. Excessive temperatures can result in construction
problems, asphalt damage, and production of fumes. ASTM D2493 was intended for
unmodified binders which are classified as a Newtonian fluid, a substance in which
viscosity does not depend on shear rate. Yildirim’s investigation attempted to determine
the shear rate during compaction with the intention that the results could be factored in to
the mixing and compaction temperatures.
Two mixes were evaluated. Mix 1 used an angular, relatively porous crushed limestone,
and Mix 2 used a round, smooth, and relatively nonporous sand. The specimens were
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compacted at equiviscous temperature conditions corresponding to 0.170 Pa·s and 0.280
Pa·s, respectively. Once compacted, the specimens’ volumetric mixture properties were
determined in accordance with AASHTO MP2, Standard Specification for Superpave
Volumetric Mix Design.
Yildirim states the mixing temperature of most binders is 10 to 20°C higher than the
compaction temperature. Throughout the mixing process, it is imperative to achieve
uniform dispersement of asphalt binder throughout the aggregate and complete coating of
the aggregates. Yildirim cited a study by Bahia that states increasing the mixing time 1
to 2 minutes can result in complete coating of the aggregates at extremely high viscosities
that are not expected to be exceeded in the field. Therefore, using the mixing temperature
lower than the values determined using ASTM D 2493 should not present any problems.
In phase 1 of the project, the relationship between compaction temperatures and bulk
specific gravity of a compacted mix was evaluated. In phase 1, samples were prepared
using a range of compaction temperatures using both modified and unmodified binders
and the bulk specific gravity was measured. The specimens were compacted in the
SuperPave Gyratory Compactor at five different temperatures. Mix 1 was compacted at
55°C, 65°C, 75°C, 85°C, and 95°C. Mix 2 was compacted at 50°C, 60°C, 70°C, 80°C,
and 90°C. The Asphalt Institute (1989) states that compaction temperatures usually
range from 80°C to 155°C. Yildirim chose compaction temperatures between 50°C and
95°C to “better evaluate temperature’s effect on bulk specific gravity”. The authors
stated that at higher temperatures, the viscosity of asphalt binder decreases; consequently,
it becomes more difficult to see the effect of temperature on compaction in the SuperPave
Gyratory Compactor.
The least squares method was used in order to estimate the relation between compaction
temperatures and bulk specific gravity. The model used for the estimations was bxay ⋅= . For this model, y represented the Gmb values, a and b were regression
constants, and x represented the compaction temperatures. In each of the eight
experiments, Gmb values for asphalt mixes, using both modified and unmodified binders,
increased with increasing compaction temperatures. Also, it was determined that the
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implementation of the shear rate concept for unmodified binders can reduce mixing and
compaction temperatures of asphalt concrete by approximately 10°C to 30°C (Yildirim et
al., 2000).
Yildirim states that the factors affecting the Gmb values of a specimen include aggregate
gradation and type, viscosity of the asphalt binder, and the type of compactor used. For
any two specimens, if all factors affecting the Gmb are kept constant, the Gmb values for
the two samples will be the same. The authors states that this idea can be used for the
calculation of shear rate inside the SGC.
Figure 2.1 illustrates Yildirim’s approach. The figure depicts the estimated relationship
between the Gmb values and compaction temperature. He hypothesized that the specimen
prepared with the unmodified asphalt binder and compacted at temperature A will yield
the same Gmb value as the sample prepared with the modified asphalt binder which was
compacted at temperature B. This would indicate that the viscosity value of unmodified
asphalt binder at temperature A is equal to the viscosity value of modified asphalt binders
at temperature B.
Figure 2.1 Temperature vs. Gmb Relation for Asphalt Binders X and Y
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For each mix design comparison, a Gmb value was chosen. Usually, a Gmb value at the end
of the compaction temperature range was selected. Figure 2.2, which is representative of
all of Yildirim’s results, shows Gmb values increase with increasing compaction
temperature. Therefore, the voids in the total mix (VTM) will decrease with increasing
temperatures. Usually, a Gmb value at the end of the temperature was selected. For each
figure, the relationship between Gmb values and compaction temperatures was estimated
for one modified asphalt binder and for one unmodified asphalt binder. Subsequently,
the corresponding compaction temperatures were estimated using the selected Gmb value.
These Gmb values and the corresponding temperature for compaction are listed in Table
2.1.
Yildirim hypothesized that the asphalt binder viscosity throughout compaction should be
equal for two different specimens if they have the same bulk specific gravity. This
hypothesis is based on the fact that all of the variables affecting Gmb such as type and
gradation of the aggregate and the compactor type are all kept the same. Thus, it can be
concluded that at the temperatures corresponding to a particular Gmb value, viscosity
values for the modified and unmodified binders are the same during compaction.
Another research project, sponsored by the Federal Highway Administration (FHWA),
dealing with the determination of mixing and compaction temperatures of asphalt
concrete was completed by Stuart (2001). The objective of this study was to find an
asphalt binder or mastic property that can provide the compaction temperatures needed
for asphalt mixture design. This project is conceptually similar to that of Yildirim’s. The
background of the study begins with a discussion of the determination of the compaction
temperature of asphalt concrete using the equiviscous principle, which is based on the
viscosities of the asphalt binder. Stuart states that when this principle is used,
theoretically, all asphalt binders should provide the same optimum asphalt binder content
at 4 percent air voids when all other variables, such as compaction effort and aggregate
gradation are held constant. Unaged asphalt binders are used to determine the
compaction temperature. Therefore, the methodology assumes that each asphalt binder
will age harden approximately the same prior to compaction. Stuart also states the
equiviscous principle was developed for use with unmodified asphalt binders, therefore,
9
for some polymer-modified binders, the equiviscous principle gives a compaction
temperature significantly higher than what is actually necessary. Excessive high
temperatures can possibly cause damage to the asphalt binder, which can lead to the
generation of fumes and asphalt binder drain-down, thus causing low asphalt binder
content in some mixtures.
Table 2.1 Estimated Compaction Temperatures for Equal Gmb Values
Binders Mix Gmb
Compaction Temperatures for Gmb
Value
Multigrade-Unmodified 1 1 2.312 Multigrade-Unmodified 1 93oC Unmodified 1 83oC
Multigrade-Unmodified 1 2 2.261 Multigrade-Unmodified 1 90oC Unmodified 1 80oC
TR Modified-
Unmodified1 1 2.308 TR Modified-Unmodified1 94oC Unmodified 2 78oC
TR Modified-
Unmodified1 2 2.257 TR Modified-Unmodified1 89oC Unmodified 1 73oC
Multigrade-Unmodified 2 1 2.312 Multigrade-Unmodified 2 93oC Unmodified 2 71oC
Multigrade-Unmodified 2 2 2.261 Multigrade-Unmodified 2 91oC Unmodified 2 68oC
TR Modified-
Unmodified2 1 2.310 TR Modified-Unmodified2 95oC Unmodified 2 70oC
TR Modified-
Unmodified2 2 2.259 TR Modified-Unmodified2 91oC Unmodified 2 64oC
10
Figure 2.2 Gmb vs Temperature for Multigrade and Unmodified 1 for Mix 1
For the experiment, the SuperPave Gyratory Compactor was used to compact a mixture
with an unmodified asphalt binder at various temperatures to obtain the range in
temperature that did not affect the volumetric properties of the mixture at the design level
of compaction effort (N-design). Polymer-modified asphalt binders were then substituted
for the unmodified asphalt binder. The volume of binder was kept constant. The
compaction temperature that gave the same volumetric properties as the unmodified
asphalt binder was found for each modified binder. The rheological properties of the
asphalt binders and mastics used in the mixtures were then measured to determine what
property provides temperatures that meet the temperature ranges given by the compaction
process.
Stuart’s experiment incorporated three binder types and three aggregate types. Each
combination of aggregate and binder type was compacted at four temperature levels.
Two aggregate types were variations of an aggregate blend used extensively in a previous
FHWA, and two National Cooperative Highway Research Program (NCHRP) studies.
The blending percentages used in the three prior studies were 61-percent No. 68 diabase,
11
30-percent No. 10 diabase, 8-percent natural sand, and 1-percent hydrated lime. This
blend met the requirements for a Virginia Department of Transportation (VDOT) SM-3
surface mixture gradation. The three binders were a PG58-28 unmodified binder and two
proprietary modified binders, Novophalt and Styrelf. Three of the compaction
temperatures were selected : 1.) equiviscosity compaction temperature, 2.) plus 20°C, and
3.) minus 20°C. A fourth temperature was selected based on the viscosity of the mastic
of the asphalt cement and fine aggregate.
Tables 2.2 to 2.4 show the percentages of air voids in the various mixtures and their
variations with differing mixture and compaction temperatures.
Table 2.2 shows all of the data for the asphalt concrete mixtures with diabase aggregate
and no hydrated lime. For the specimens fabricated with the PG 58-28 unmodified
asphalt binder, the mixing temperature was fixed at 145oC. Table 2.2 shows the air voids
of the two specimens compacted at 117oC had a difference of 0.9 percent (4.1 vs. 5.0
percent). This is a large difference based on the air voids at other compaction
temperatures; the reason for this was not evident.
The specimens made with diabase aggregate and no hydrated lime and Novophalt (PG
76-22) Polymer-Modified Asphalt Binder were fabricated had a fixed mixing temperature
of 166oC. The average air voids of all samples were greater than the allowable air void
range of 3.5 - 4.5 percent. In the mix design process, this would indicate additional
asphalt binder would be needed to achieve 4.0 percent air voids. The air voids using
mixing and compaction temperatures of 166 oC and 139 oC were 1.0 percent apart (5.6 vs.
4.6 percent). These tests were repeated using new materials and the air void levels for the
repeat tests was 4.3 percent, compared to 5.0 percent for the initial test. A reason for this
was not evident.
The specimens fabricated with diabase aggregate and no hydrated lime and Styrelf (PG
82-22) Polymer-Modified Asphalt Binder had a fixed mixing temperature of 163oC.
Table 2.2 shows that the average air-void levels were greater than 4.0 percent. However,
most samples were within the allowable air void ranges of 3.5 to 4.5 percent. The air
voids for the two specimens fabricated using mixing and compaction temperatures off
12
188 and 177oC, respectively, were 1.2 percent apart (3.8 vs. 5.0 percent). Stuart stated
that this is a large difference based on the air voids of the other compaction temperatures,
but a reason for this was not evident.
Table 2.3 shows the air void data for the mixtures with diabase aggregate and 1.25
percent hydrated lime. The specimens fabricated with PG 58-28 asphalt binder had a
fixed mixing temperature of 145oC. The specimens fabricated with Novophalt (PG 76-
22) were made with a fixed mixing temperature of 166oC. The specimens with the
Styrelf (PG 82-22) asphalt binder were made with a fixed mixing temperature of 163oC.
Stuart had no mention of the reasons for the air void differences in the table.
13
Table 2.2 Air Voids for the Mixtures with Diabase Aggregate and No Hydrated Lime.
Binder Type
Temperature, °C Air Voids, Percent
Mixing Compaction Replicate 1 Replicate 2
PG 58-28
145 157 4.0 4.1
145 137 4.0 4.0
145 117 4.1a 5.0a
145 107 4.5 4.8
Novophalt (PG 76-22)
166 179 5.2 4.6
166 159 4.4 4.8
166 139 5.6a 4.6a
166 139 (repeat) 4.4 4.1
166 119 5.2 4.7
Styrelf (PG82-22)
163 177 4.2 4.1
163 157 4.6 3.9
163 137 4.7 4.6
163 117 5.4 5.7
aThe difference in air voids is large. A difference of 0.7-percent air voids means that the 67- and 95-percent confidence limits for the average asphalt binder content by mass at a 4-percent air-void level will be be 0.25 and 0.5 percent, respectively, using two replicate specimens.
14
Table 2.3 Air Voids for the Mixtures with Diabase Aggregate and 1.25 Percent Hydrated
Lime
Binder Type
Temperature, °C Air Voids, Percent
Mixing Compaction Rep 1 Rep 2 Rep 3 Rep 4 Average
PG 58-28
145 157 4.7 3.5 3.5 3.2 3.4
145 137 4.9 2.6 4.2 3.8 4.3
145 117 5.0 6.0 3.7 3.7 4.1
145 107 3.9 4.1 4.4 3.5 4
Novophalt (PG 76-22)
166 179 4.3 4.3 4.1 3.7 4.1
166 159 4.6 4.1 4.0 4.0 4.0
166 139 4.6 4.5 3.9 3.6 4.2
166 119 4.7 5.3 4.5 5.0 4.9
Styrelf
(PG82-22)
163 177 3.1 3.4 4.3 4.0 3.7
163 157 3.9 3.5 3.3 4.0 3.7
163 137 4.8 4.7 4.5 4.6 4.6
163 117 5.2 5.3 4.6 5.0 5.0
15
Table 2.4 Air Voids for the Mixtures with Limestone Aggregate
Binder Type
Temperature, °C Air Voids, Percent
Mixing Compaction Rep 1 Rep 2 Rep 3 Rep 4 Average
PG 58-28
145 157 4.6 3.3 3.6 3.5 3.5
145 137 4.2 3.7 4.1 4.3 4.1
145 117 4.6 4 4.1 3.9 4.2
145 107 4.4 4.1 3.8 4.3 4.2
Novophalt (PG
76-22)
166 159 3.8 3.4 3.5 3.2 3.5
166 139 3.9 3.9 3.3 4.1 4
166 119 4.6 4.3 4.4 4.1 4.4
Styrelf (PG82-
22)
163 177 3.4 2.9 2.9 3.0 2.9
163 157 4.1 3.8 3.6 3.5 3.6
163 137 4.1 3.8 3.8 3.5 3.8
163 117 4.7 4.3 4.2 4.1 4.2
Table 2.4 shows the air void data for the mixtures with limestone aggregate. The
specimens fabricated with PG 58-28 asphalt binder had a fixed mixing temperature of
145oC. The specimens fabricated with Novophalt (PG 76-22) were made with a fixed
mixing temperature of 166oC. The specimens with the Styrelf (PG 82-22) asphalt binder
were made with a fixed mixing temperature of 163oC. Stuart had no mention of the
reasons for the air void differences in the table.
Stuart stated that all of the compaction temperatures for the diabase mixtures with
Novophalt and Styrelf asphalt binders, but without hydrated lime, yielded air void levels
slightly greater than 4.0 percent. This means that the asphalt binder content would have
to be increased to obtain a 4.0 percent air void level. For the specimens fabricated with
16
diabase aggregate with hydrated lime, 4.0 percent air voids were obtained. Stuart stated
that this was an example of the complexities that polymer-modified asphalt binders can
provide.
Stuart did not explicitly look for a relationship between VTM and compaction
temperature. To examine this effect the data in Tables 2.2 to 2.4 were entered into an
Excel spreadsheet to produce Figure 2.3. Visually there appears to be a tendency for air
voids to decrease with an increase in compaction temperature. A linear trend line fit to
the data demonstrates air voids decrease as compaction temperature increases:
Air Voids = 5.49 - 0.0087x RSQUARE = 0.1319
An exponential trend line was used to fit the data per Yildirim’s method; however, the
dependent variable was air voids instead of bulk specific gravity. Air voids are inversely
proportional to bulk specific gravity so the power coefficient should have opposite signs
between Stuart’s and Yildirim’s work. The trend line function was:
y = 19.154x-0.3055 RSQUARE = 0.1454
As suggested by the scatter in the data on Figure 2.3, both the linear and exponential
models have low RSQUARE values so neither model indicates a meaningful relationship
between compaction temperatures and the air voids of the samples.
2.2 EFFECT OF OVEN AGING
Another project, SHRP-A-383, conducted by C.A. Bell et al. (1994), evaluated laboratory
aging procedures on the volumetric properties of asphalt concrete. The objectives of this
study were very broad, including both short and long term effects on both loose and
compacted mixes. Short term aging simulates the change in binder properties which
occur during the asphalt concrete production and construction. Long-term aging
simulates the changes in binder properties which occurs over the life of the pavement.
Only the short term aging of loose mixes in considered in the following.
17
0
1
2
3
4
5
6
100 110 120 130 140 150 160 170 180 190
Compaction Temperature
Air
Void
s
Control Limestone
Control Diabase w/o lime
Control Diabase w/ lime
Novophalt Limestone
Novophalt Diabase w/o lime
Novophalt Diabase w/ lime
Styrelf Limestone
Styrelf Diabase w/o lime
Styrelf Diabase w/ lime
Figure 2.3 Stuart’s air voids versus compaction temperature.
The short-term aging portion of the project involved aging the uncompacted mixtures in
order to simulate the precompaction phase of construction. The short-term oven aging
implemented a forced-draft oven for time durations of 0, 6, or 15 hours at temperatures of
135oC or 163oC. The aged mixtures were then compacted at 1725 or 3450 kPa (250 or
500 psi) compactive effort by a Hveem kneading compactor to attempt to obtain the
target air void levels of 8 and 4 percent, respectively. The actual air void levels attained
were dependent on the asphalt-aggregate combinations and varied from the target levels.
The bulk specific gravity, permeability, resilient modulus, and tensile properties were
determined for all of the samples.
The results from the short-term oven aging tests are summarized in Table 2.5. Figure 2.4
illustrates that significant aging occurs, as shown by an increase in modulus with aging
time. As can be seen from Figure 2.4, from 0 to 6 hours, aging always results in an
18
increase in modulus, and form 6 to 12 hours, 5 samples decrease in modulus, and 7
samples increase in modulus. When a temperature of 161oC (325oF) is implemented, the
modulus samples for 15 hours is lower than the ratio for samples aged for 6 hours. The
difference was due to severe aging of the asphalt film in the coated mixture and the
inability to adequately compact these samples after aging. Table 2.5 shows that the air
void levels of these samples were significantly greater than the levels of both unaged
samples and samples aged at 135oC (275oF).
Due to the fact that Bell’s project did not explicitly research the variations in air voids in
asphalt concrete with respect to variations in compaction temperature, aging temperature,
and aging duration, Figures 2.5 through 2.7 were generated from the data in Table 2.5.
Figure 2.5 shows a varied trend with air void contents both increasing and decreasing
with increased aging temperatures. Figure 2.6 also illustrates that no definitive trends
exist between air void contents and aging duration. Figure 2.7 shows that, according to
Bell’s data, the percentage of air voids increases with increasing compaction temperature.
Higher air void content with higher compaction temperature is counter intuitive. At
higher compaction temperatures, asphalt binder viscosity is lower, which should promote
a decrease in air voids.
The determination to the samples’ air voids require measurement of the maximum
theoretical specific gravity of the mix, Gmm. This mix parameter varies depending on the
amount of asphalt absorbed into the aggregate surface voids. The quantity of binder
absorbed should vary with curing time and temperature. Bell did not document the
procedure used to prepare samples for determining Gmm.
19
Table 2.5 Summary of Short-Term Oven Aging Data
Key for Table.2.5 and Figures 2.4 to 2.7
K ASPHALT K=AAK-1 G=AAG-1 (SHRP CODES)
L AGGREGATE L=RL (CRUSHED GRANITE) B=RB (CHERT GRAVEL)
L VOIDS L=LOW M=MEDIUM
S SHORT TERM S=SHORT TERM
0 AGING PERIOD 0=6/4 HOURS 1=15/8 HOURS
0 AGING TEMP. 0=LOW (135oC) 1=HIGH (163oC)
O AGING TYPE O=SHORT TERM OVEN AGING
20
Figure 2.4 Short-Term Oven Aging Results
02468
101214161820
Aging Temperature (oC)
Air V
oids
(%)
KBGBGLKL
135 163
21
Figure 2.5 Air Voids Versus Aging Temperature
0
3
6
9
12
15
18
0 2 4 6 8 10 12 14 16 18 20
Aging Duration (hrs)
Air
Void
s (%
)
KBGBGLKL
Figure 2.6 Air Voids Versus Aging Duration
0
22
2
4
6
8
10
12
14
16
18
20
Compaction Temperature (°C)
Air
Void
s (%
)
KBGBGLKL
Low High
Figure 2.7 Air Voids Versus Compaction Temperature
2.3 SUMMARY OF LITERATURE
The equiviscosity concept was established for the Marshall mix design method, and
unmodified binder is widely accepted and was adopted as requirement for the Superpave
mix design method. Yildirim et al. (2000) demonstrated that it is possible to compact
samples of unmodified and modified binders to the same bulk specific gravity by
selecting an appropriate compaction temperature. However, the compaction temperatures
used in Yilidirim’s research were significantly lower than the equiviscosity compaction
temperature for the binders. This was an intentional feature of the research as it was
reasoned that equiviscosity temperatures would “mark” the temperature-viscosity-
compaction relationship. Thus, Yildirim’s results are of limited value when investigating
how variation in the specified Superpave process affects resulting mixture volumetric
properties.
A component of the research conducted by Stuart (2001)provided a data set for
examining the effect of compaction temperature on the air voids of compacted asphalt
concrete. Regression models of these data demonstrated that compaction temperatures
did not account for the variability in the air void data.
23
Bell et al.(1999) investigated the effect of aging temperature, aging duration, and
compaction temperature on the air voids of asphalt concrete samples prepared with the
Hveem kneading compactor. Bell’s data were used to prepare Figures 2.5 through 2.7.
These figures demonstrate the highly variable air void results mask any affect of the
sample preparation parameters.
There are several parameters specified in the Superpave method, AASHTO MP2, which
have not been investigated in the literature. The experiment conducted during this
research investigated these parameters.
24
CHAPTER 3: RESEARCH METHODOLOGY
3.1 INTRODUCTION
The objective of this research project was to determine the effects of variations in the
sample preparation process on the volumetric properties of asphalt concrete. The
research approach included:
• Develop an experimental plan for the research.
• Select mix designs used by contractors in West Virginia.
• Gather the sample materials.
• Randomly assign treatments to the samples.
• Perform laboratory procedures in accordance with the randomized
experimental plan.
• Complete statistical analyses of the results.
• Report the results.
3.2 EXPERIMENTAL DESIGN
Two mix designs supplied by local asphalt concrete producers were used for the
experiment. From Southern West Virginia Paving Inc. located in Summersville, West
Virginia, a wearing course mix with a nominal maximum aggregate size of 9.5 mm and
an asphalt binder content of 6.7% was used. The second mix design was supplied by
Greer Industries, Inc. from Clarksburg, West Virginia. This mix design had a nominal
maximum aggregate size of 12.5 mm and an asphalt binder content of 5.4%. Both mixes
consisted of 100% limestone and were blended from aggregates located in 3 separate
stockpiles at each location. Both mixes were designed with PG 76-22 modified asphalt
binders. Gradation and weighout information for each mix design are presented in
Appendix A.
The primary experimental design is shown in Figure 3.1. The factors and levels of the
experiment are shown in Table 3.1.
25
Table 3.1 Experiment Factors and Levels
Factor Level
Mix Type (Aggregate Size) 9.5, 12.5
Mixing Temperature Low, High
Cure Time (Hrs) 2,4
Compaction Temperature Low, High
Mold Preheat (Hours) 0.5, 2
Binder Type PG 64-22, PG 76-22
With seven factors and two levels, there are 64 combinations. The one half factorial
shown on Figure 3.1 results in 32 combinations. In accordance with industry practice,
the average results of two compaction pills are treated as one sample for bulk specific
gravity. Thus the experiment required preparation of 64 compacted pills. Only one unit
is used as a sample for the maximum theoretical specific gravity test so 32 samples were
prepared. The order of sample preparation and testing was randomized as shown in Table
3.1.
The Gmb test method, AASHTO T166, requires cooling the samples for 16 ± 1 hr or
“cooling in front of a fan” for an unspecified time. The common practice in West
Virginia is to cool the sample until they can be readily handled. To evaluate if this
process affects the volumetric parameters, each Gmb sample was tested twice: after
cooling in front of a fan for 1 hour, and 2.) after 24 hours at room temperature. This did
not require preparation of new samples. Since the two observations of Gmb were from the
same sample a paired Student t-test was used for the statistical analysis.
The between sample compaction and measurement of weights to determine Gmb , was not
included in the fractional factorial. For this evaluation, the same samples were measured
at different times. The two times were 1 and 24 hours after compaction. A paired
Student’s t test was performed to determine if any significant differences existed between
the two sets of data.
26
Figure 3.1 Fractional Factorial Design
27
Table 3.2 Parameters for Each Sample Tested in the Fractional Factorial
Pill Number Aggregate Size
(mm)
Mix
Temperature (oC) Cure Time (hrs)
Compaction Temperature
(oC)
Mold Preheat
Time (hrs)
Binder Type
(PG)
1 9.5 154 2 142 0.5 64-22
2 12.5 160 2 142 0.5 64-22
3 12.5 154 4 142 0.5 64-22
4 9.5 160 4 142 0.5 64-22
5 12.5 154 2 147 0.5 64-22
6 9.5 160 2 147 0.5 64-22
7 9.5 154 4 147 0.5 64-22
8 12.5 160 4 147 0.5 64-22
9 12.5 154 2 142 2 64-22
10 9.5 160 2 142 2 64-22
11 9.5 154 4 142 2 64-22
12 12.5 160 4 142 2 64-22
13 9.5 154 2 147 2 64-22
14 12.5 160 2 147 2 64-22
15 12.5 154 4 147 2 64-22
16 9.5 160 4 147 2 64-22
17 12.5 160 2 149 0.5 76-22
18 9.5 177 2 149 0.5 76-22
19 9.5 160 4 149 0.5 76-22
20 12.5 177 4 149 0.5 76-22
21 9.5 160 2 160 0.5 76-22
22 12.5 177 2 160 0.5 76-22
23 12.5 160 4 160 0.5 76-22
24 9.5 177 4 160 0.5 76-22
25 9.5 160 2 149 2 76-22
26 12.5 177 2 149 2 76-22
27 12.5 160 4 149 2 76-22
28 9.5 177 4 149 2 76-22
29 12.5 160 2 160 2 76-22
30 9.5 177 2 160 2 76-22
31 9.5 160 4 160 2 76-22
32 12.5 177 4 160 2 76-22
28
3.2 AGGREGATE PROCESSING
Once the mix design information was obtained, the amount of aggregates needed from
each stockpile was calculated from the percentages given in the mix designs. It was
determined that approximately 250 kg of aggregate from each location would be required
to produce the samples. Therefore, the 250 kg was multiplied by the respective
percentages for each stockpile at each location in order to determine the amount of
aggregate necessary from each stockpile, as shown in Table 3.2.
Table 3.3 Stockpile Information
9.5 mm Nominal Maximum
Aggregate Size Mix
Stockpile Percentage of Mix Weight (kg)
CA1
40% 100
FA1
45% 112.5
FA2
15% 37.5
12.5 mm Nominal Maximum
Aggregate Size Mix
Stockpile Percentage of Mix Weight (kg)
A67 20% 50
A8 45% 112.5
B1 35% 87.5
The aggregates were obtained from the suppliers and processed in preparation for the
production of asphalt samples. The aggregates were sieved in accordance with AASHTO
T27-99 to separate the aggregates into their respective sizes. A Mary Ann Mechanical
Laboratory Sieve Shaker was used to separate the aggregate into materials retained on
12.5 mm, 9.5 mm, 4.75 mm 2.36 mm, 1.18 mm, 0.600 mm, 0.300 mm, 0.150 mm, 0.075
mm sieves and the pan. The sieved material was washed in accordance with AASHTO
T11-96. The washed aggregates were dried in an oven at 110 ± 5 C for 24 hours. Once
29
dried, the aggregates were allowed to cool and were then placed into separate containers
according to size.
The weights of the aggregates from each stockpile for each sample were computed using
a Microsoft Excel spreadsheet. Once the weights of each size of each aggregate from
each stockpile were determined, the appropriate amounts were weighed out in metal
rectangular pans. Sufficient material was prepared to make the two Gmb samples and one
Gmm sample needed for each combination of factors and levels.
3.3 MIX PREPARATION
For this project, a total of 64 Gmb and 32 Gmm samples were produced in order to examine
the interactions of the different design parameters. The Gmb, or pill, samples were
produced in identical pairs and the Gmb of each pill was averaged together to determine
the Gmb for the sample. A Gmm, or Rice sample, was produced for every pair of pills.
The samples were prepared in accordance with AASHTO T312-03 in the random order
identified in Table 3.1. The aggregates and binder, in separate containers, along with the
bucket mixer bucket and mixing wand were heated to the specified mixing temperature.
Once heated the aggregates were poured into the mixer bucket and a small crater formed
in the middle of the aggregate. Once the bucket containing the aggregate was placed on
the digital scale, the proper amount of the asphalt binder was added. The sample was
then mixed thoroughly with the mechanical bucket mixer.
After mixing the asphalt concrete was poured from the mechanical mixer bucket onto a
table and quartered. Quartering consists of mixing the sample and separating the sample
into four equal-sized portions. Once quartered, a preheated trowel was used to place mix
from portions from opposite sides of the sample in a tared container on the digital scale.
The sample was then requartered and the process repeated for the second pill and again
for the Rice sample. The Gmm samples for the 12.5 mm mix weighed 1500g, and the 9.5
mm Gmm samples weighed 1000g. The samples were then placed into the oven and
heated to the appropriate compaction temperature for the specified curing time.
30
3.4 SPECIMEN FABRICATION
The Gmm samples were produced in accordance with AASHTO 209-99. The Gmb samples
were produced in accordance with AASHTO T312-03. Compaction was accomplished
by the SuperPave Gyratory Compactor (SGC). At the specified time prior to compaction
of the sample, the SGC mold, base plate, and upper plate were placed in the oven at the
specified compaction temperature. Once heated to compaction temperature, the mold
was removed from the oven and the base plate was placed into the mold along with a
piece of release paper. The weighed out mixture for a single Gmb sample was placed in a
preheated transfer tray and transferred into the mold in one lift. Release paper was placed
on top of the mix along with the upper mold plate. If necessary, the top of the upper plate
was dusted with powdered graphite. The mold was then set into the SGC and allowed to
run at a vertical consolidation pressure of 600 kPa, a fixed angle of 1.25o, ,and a speed of
gyration of 30 rpm for 100 gyrations. Once compacted, the sample was removed from
the gyratory mold and set on a table in front of a fan to continue cooling for one hour. At
this point, the mass of the dry, submerged, and saturated surface dry (SSD) were
measured. The samples were allowed to cool at room temperature for 24 hours and the
masses were remeasured.
3.5 TESTING PROCEDURE
3.5.1 Test for Maximum Theoretical Specific Gravity
Once separated, the sample was placed into the pycnometer and weighed. Water was then
placed into a pycnometer and hooked up to the vacuum machine. The vacuum machine
removes air trapped in the sample by gradually increasing the vacuum pressure until the
manometer reads 3.7± 0.3 kPa. Once this pressure is attained, this pressure is maintained
for 15 ± 2 minutes. At this point, the sample was placed in the constant temperature
water bath (25oC (77oF)) for 10 minutes. After the 10 minutes in the water bath, the
submerged weight was taken and recorded. From these recorded weights, the Theoretical
Maximum Specific Gravity, Gmm, was determined.
)( EDAAGmm −−
=
31
Where:
A = mass of oven-dry sample in air, g
D = mass of submerged sample and pycnometer at 25oC, g
E = mass of pycnometer submerged in water at 25oC, g
3.5.2 Test for Bulk Specific Gravity
The Bulk Specific Gravity values were determined in accordance with AASHTO T166-
00. After cooling for the specified time, the pill was placed on a digital scale and the dry
mass was recorded. The pill was then submerged in the constant temperature water bath
(25oC (77oF) for 4 1± minutes and the submerged weight was recorded. The SSD weight
was determined by removing the specimen from the constant temperature water bath and
quickly blotting the specimen with a moist towel. The sample was immediately placed
on the digital scale and that weight recorded as the saturated surface dry (SSD) weight.
Once these weights were determined and recorded, the Gmb was then determined with the
equation found below:
CBAGmb −
=
Where:
A = mass of dry sample, g
B = mass of saturated surface dry sample, g
C = mass of submerged sample, g
Once the Bulk Specific Gravity was calculated, the air voids (VTM) for each sample was
determined using the equation found below:
−⋅=
mm
mb
GGVTM 1100(%)
Immediately after the SSD weight was recorded, the pills were placed on a shelf with a
fan blowing air on them and allowed to dry overnight. Twenty-four hours later, the pills’
32
dry, submerged, and SSD weights were recorded again and the new Gmb was calculated
and recorded. This Gmb value was used to compute new VTM values.
33
CHAPTER 4: RESULTS AND ANALYSIS
4.1 INTRODUCTION
For this project, a statistics software package for data analysis developed by JMP, which
is a division of the SAS Institute Inc., was used. This program was used to perform an
analysis of variance of the fractional factorial design in order to determine the significant
factors affecting the percentage of air voids in hot mix asphalt concrete.
The samples were fabricated for 12.5 mm and 9.5 mm Nominal Maximum Aggregate
Sizes (NMAS), with both the gradation and asphalt binder content specified by the
contractor. Table 4.1 illustrates the difference in the contractor’s results and those
obtained in the laboratory. As can be seen, the samples produced with the 12.5 NMAS
yielded acceptable air voids while those made with the 9.5 NMAS mix design were
almost 50% below the target value of 4%. The reason for the low air void content was
not investigated. Figure 4.1 is a summary of all the air void data collected during the
experiment.
Table 4.1 Comparison of Contractor’s and WVU Asphalt Lab’s Results
Result 12.5 NMAS 9.5 NMAS
Criteria Contractor WVU Asphalt Lab Criteria Contractor WVU Asphalt Lab
Percent Binder
(Pb
) - 5.4 5.4 - 6.7 6.7
VTM (%) 4.0 4.0 3.64 4.0 4.0 2.05
34
Figure 4.1 Summary of Results (See Figure 3.1 for Sample Designations)
4.2 EFFECT OF TIME TO DETERMINE BULK SPECIFIC GRAVITY
Using Microsoft Excel, a student’s paired, two-tailed T-Test was used to analyze the
VTM values determined 1 hour and 24 hours after compaction. It was assumed that the
distributions from each set of data were normally distributed with identical variances. As
can be seen in Table 4.2, the calculated t Stat value is well below the t Critical value thus
35
there is insufficient evidence to reject the null hypothesis of equal means at a confidence
level of 95%).
Table 4.3 Student’s Paired T-Test Results for VTM Values
Terms Variable 1 Variable 2
Mean 0.0284 0.029
Variance 8.02E-05 8.18E-05
Observations 32 32
Hypothesized Mean Difference 0
df 31
t Stat -1.252
P(T<=t) two-tail 0.220
t Critical two-tail 2.040
4.3 ANALYSIS OF VARIANCE
The JMP data analysis software package was used to analyze the data obtained in the
laboratory and yielded results which illustrated the parameters’ effects on the air voids
after 1 hour in each sample. The data output is included in Tables 4.4 and 4.5.
Table 4.4 contains numeric summaries of the multiple regression model. The Rsquare
term indicates the percentage of variability that is explained by the linear model (not
random error). If the Rsquare value is 1, then all of the variability is explained by the
linear model (data falls exactly on a straight line). If Rsquare is equal to 0, then none of
the variability in y is explained by the linear model (no relationship exists between the
variables). From Table 4.4, it can be seen that 94.6% of the variability can be explained
by the linear model, meaning the vast majority of the variability is explained by the linear
model. The Rsquare Adj. term in Table 4.4 makes it more comparable than models with
different numbers of parameters. Due to the fact that adding terms to an existing model
always increases Rsquare the adjusted Rsquare compensates for adding terms to a model
36
that already has terms in it. The Root Mean Square Error term is the distance, on
average, of a data point from the fitted line, measured along a vertical line. The Mean of
Response is simply the average of all the recorded VTM values and the Observations
term represents the number of samples produced.
Table 4.4 Summary of Fit Data
Summary of Fit Data
Rsquare 0.946
Rsquare Adj 0.834
Root Mean Square Error 0.365
Mean of Response 2.843
Observations 32
37
Table 4.5 ANOVA Parameter Estimates
Parameter Estimates
Term Estimate Std Error t Ratio Prob > ltl
Intercept 2.842813 0.064542 44.05 < 0.0001
Main Parameters for
Experiment
Aggregate Size -0.795937 0.064542 -12.33 < 0.0001
Mixing Temperature -0.078438 0.064542 -1.22 0.2522
Cure Time -0.064687 0.064542 -1.00 0.3399
Compaction Temperature 0.048438 0.064542 0.75 0.4703
Mold Preheat Time -0.044688 0.064542 -0.69 0.5045
Binder Type 0.042188 0.064542 0.65 0.5281
Combinations of
Parameters for
Experiment
Aggregate Size & Mixing Temperature 0.176563 0.064542 2.74 0.0210
Aggregate Size & Cure Time -0.062188 0.064542 -0.96 0.3580
Aggregate Size & Compaction Temperature 0.019688 0.064542 0.31 0.7666
Aggregate Size & Mold Preheat Time 0.039063 0.064542 0.61 0.5585
Aggregate Size & Binder Type -0.064063 0.064542 -0.99 0.3443
Mixing Temperature & Cure Time -0.119687 0.064542 -1.85 0.0934
Mixing Temperature & Compaction Temperature -0.061562 0.064542 -0.95 0.3627
Mixing Temperature & Mold Preheat Time -0.048348 0.064542 -0.75 0.4703
Mixing Temperature & Binder Type -0.002812 0.064542 -0.04 0.9661
Cure Time & Compaction Temperature -0.022813 0.064542 -0.35 0.7311
Cure Time & Mold Preheat Time 0.062813 0.064542 0.97 0.3534
Cure Time & Binder Type -0.124062 0.064542 -1.92 0.0835
Compaction Temperature & Mold Preheat Time -0.011562 0.064542 -0.18 0.8614
Compaction Temperature & Binder Type 0.059063 0.064542 0.92 0.3817
Mold Preheat Time & Binder Type 0.012188 0.064542 0.19 0.8540
The Parameter Estimates, Table 4.5, shows the estimates of the parameters in the linear
model and a t-test for the hypothesis that each parameter is zero. The Prob > ltl values
give the probability of observing a t-value as large or larger than the computed t-value
under the null hypothesis (i.e., parameter equals 0). A Prob > ltl value of 0.05 or less
would indicate that the parameter estimate is different from the null hypothesis value at
the 95% level. A small Prob > ltl value means that the data provides evidence against the
null hypothesis. Therefore, if a Prob > ltl value is less than 0.05, the term that value is
representing had a significant effect on the VTM of the samples. As can be seen on
38
Table 4.5, the only terms that had a significant effect on the VTM values was the NMAS
and the interaction of mix temperature and NMAS.
The fact that NMAS has a significant effect on VTM is an artifact of the experiment. As
discussed in Chapter 3, the VTM of the 9.5 mm mix was an average of 2.05 percent and
the VTM of the 12.5 mm mix was 3.64 percent. Since only two mix types were included
in the experiment, the fact that there is a difference in the VTM based on mix type
confounds the experiment. The consequence of this confounding is that the statistical
relationship between VTM and NMAS is an artifact of the experiment and not a
statistically significant event. This confounding also explains the results for the NMAS –
mix temperature interaction term.
39
CHAPTER 5 CONCLUSIONS AND RECOMMENDATIONS
This research project has yielded results showing that only one of the design parameters,
NMAS, and one of the interactions, NMAS and mixing temperature, had significant
effects on the air void levels of the asphalt concrete test specimens. However, this result
was produced by the experimental design. Future research should include a wider range
of mix designs to further evaluate the effects these parameter interactions have on the air
voids in asphalt concrete.
5.1 CONCLUSIONS
The mixing temperature parameter had no significant effect on the air voids of asphalt
concrete. The experiment implemented mixing temperatures of 154 and 160oC, and 160
and 177oC for the PG 64-22 and PG 76-22 binders, respectively. This conclusion is
consistent with the literature when the mixes are prepared at “reasonable” mixing
temperatures.
The compaction temperature parameter had no significant effects on the air voids of
asphalt concrete. The experiment implemented compaction temperatures of 142 and
147oC, and 149 and 160oC for the PG 64-22 and PG 76-22 binders, respectively. Future
research may include a wider range of temperatures interacting with various experimental
parameters to further explore the effects, if any, on air voids of asphalt concrete.
The binder types did not have a significant effect on the air voids of asphalt concrete.
The experiment evaluated mixes with PG 64-22 and PG 76-22 binders. The mixing and
compaction temperatures were selected based on a range around the equiviscosity
temperatures of the binders as recommended by the asphalt cement supplier.
The varying cure times did not have a significant effect on the air voids of asphalt
concrete. The experiment implemented cure times of 2 and 4 hours. Future research may
include a shorter duration of cure times. This may be an important issue for quality
control of field mixes as currently there is not a WVDOH minimum curing time for
mixes produced at asphalt plants.
40
The mold preheat times were believed to have had no significant effects on the air voids
of asphalt concrete. The experiment implemented mold preheat times of 0.5 and 2 hours.
The time between preparation of the Gmb sample and measurement of the masses to
determine the Gmb had no significant effects on the air voids of asphalt concrete. The
experiment implemented VTM determination times of 1 and 24 hours. It appears the
current practice of allowing the samples to cool until they can be “readily handled” is not
affecting the test results.
5.2 RECOMMENDATIONS
The research reported herein indicates that several of the mix preparation procedures
included in the SuperPave design method did not affect the VTM of the samples. This
could lead to the conclusion that the testing protocol could be revised to facilitate the
preparation of samples for both mix design and field quality control. This could have a
major influence on the time required to perform a mix design and hence could lead to a
more efficient mix design methodology. This could result in a significant savings to the
industry without sacrificing quality. However, the number of mixes used in this research
is too limited to recommend changes to the nationally adopted AASHTO procedures.
The research concept demonstrated in this research should be expanded to include more
mix types and replicate mix designs for each mix type in the Superpave methodology.
41
REFERENCES
"ARTBA’S Research on Industry Growth & Superpave 2000: Where We are Now." Better Roads Jan. 2000. 30 Jan. 2005 <http://obr.gcnpublishing.com/articles/brsearch00.htm>. Bell, C.A., Y. Abwahab, M.E. Cristi, and D. Sosnovske. Selection of Laboratory Aging Procedures for Asphalt-Aggregate Mixtures. Oregon State University. Washington, DC: Strategic Highway Research Program, 1994. Buchanan, Shane M., and Jimmy Brumfield. "Investigation of the Gyration Angle of Superpave Gyratory Compactors." Journal of Materials in Civil Engineering 16 (2004): 444-451. Horan, Robert D. "Asphalt Mix Curing At the Design Lab and At the Field Lab." Asphalt Magazine 2001: 22-24. 20 Sept. 2005 <http://www.asphaltinstitute.org/upload/Asphalt_Mix_Curing.pdf>. Mostafa, Elseifi. Viscoelastic Modeling of Straight and Modified Binders at Itermediate and High Temperatures. Virginia Polytechnic Institute, 1999. Stuart, Kevin D. Methodology for Determining Compaction Temperatures for Modified Asphalt Binders. Turner-Fairbank Highway Research Center. McLean, Va: Federal Highway Administration, 2001. Tandon, V., and I. Avelar. SUPERPAVE Practices: Adoption, Issues, and Benefits. Diss. Universtity of Texas at El Paso, 2002. 27 Sept. 2005 <http://ctis.utep.edu/publications/Reports/SuperpaveLongReport.pdf>. Yildirim, Y., M. Solaimanian, and T. Kennedy. Mixing and Compaction Temperatures for Hot Mix Asphalt Concrete. Diss. The Univ. of Texas at Austin, 2000. 10 Aug. 2005 <http://www.utexas.edu/research/ctr/pdf_reports/1250_5.pdf>.
42
APPENDIX A - MIX DESIGN
Table A.1 19.5 NMAS Mix Design Gradation and Weighout Information
Seive Stockpile
CA1
FA1
FA2
1 25 100 100 100
3/4 19 100 100 100
1/2 12.5 100 100 100
3/8 9.5 91.8 100 100
No.4 4.75 29 92.4 100
No.8 2.35 7.4 61.3 90.5
No.16 1.18 5.4 37.8 52.2
No30 0.6 4.9 23.9 27.5
No.50 0.3 4.8 14.3 12.5
No.200 0.075 2.7 8 3.3
Stockpile Percentages Total
40% 45% 15% 100%
Sample Weight Pb Total Agg. Wt.
Pill 4650 6.70%
Rice 1000
10300 690.1 9609.9
43
Table A.2 12.5 NMAS Mix Design Gradation and Weighout Information
Seive Stockpile
A67 A8 B1
1 25 100 100 100
3/4 19 100 100 100
1/2 12.5 66 100 100
3/8 9.5 40 92 100
No.4 4.75 8 24 100
No.8 2.35 4 6 82
No.16 1.18 3 5 48
No30 0.6 2 4 25
No.50 0.3 2 3 15
No.200 0.075 1.4 1.5 8
Stockpile Percentages Total
20% 45% 35% 100%
Sample Weight Pb Total Agg. Wt.
Pill 4750 5.40%
Rice 1500
11000 594 10406
44
APPENDIX B - TEST RESULTS
Table B.1 Effect Tests (JMP Output)
Term Nparm DF F Ratio Prob > F
Main Parameters for
Experiment
Aggregate Size 1 1 152.08 < 0.0001
Mixing Tempe
rature 1 1 1.48 0.2522
Cure Time 1 1 1.00 0.3399
Compaction Temperature 1 1 0.56 0.4703
Mold Preheat Time 1 1 0.48 0.5045
Binder Type 1 1 0.43 0.5281
Combinations of
Parameters for
Experiment
Aggregate Size & Mixing Temperature 1 1 7.48 0.0210
Aggregate Size & Cure Time 1 1 0.93 0.3580
Aggregate Size & Compaction Temperature 1 1 0.09 0.7666
Aggregate Size & Mold Preheat Time 1 1 0.37 0.5585
Aggregate Size & Binder Type 1 1 0.99 0.3443
Mixing Temperature & Cure Time 1 1 3.44 0.0934
Mixing Temperature & Compaction Temperature 1 1 0.91 0.3627
Mixing Temperature & Mold Preheat Time 1 1 0.56 0.4703
Mixing Temperature & Binder Type 1 1 0.00 0.9661
Cure Time & Compaction Temperature 1 1 0.12 0.7311
Cure Time & Mold Preheat Time 1 1 0.95 0.3534
Cure Time & Binder Type 1 1 3.69 0.0835
Compaction Temperature & Mold Preheat Time 1 1 0.03 0.8614
Compaction Temperature & Binder Type 1 1 0.84 0.3817
Mold Preheat Time & Binder Type 1 1 0.04 0.8540
Table B.2 Least Squares Means Tables (JMP Output)
Aggregate Size Mix Temperature
Level Least Sq. Mean Std. Error Mean Level Least Sq.
Mean Std. Error Mean
1 2.05 0.913 2.05 1 2.76 0.913 2.76 2 3.64 0.913 3.64 2 2.92 0.913 2.92
45
Cure Time Compaction Temperature
Level Least Sq. Mean Std. Error Mean Level Least Sq.
Mean Std. Error Mean
1 2.78 0.913 2.78 1 2.89 0.913 2.89 2 2.91 0.913 2.91 2 2.79 0.913 2.79 Mold Preheat Time Binder Type
Level Least Sq. Mean Std. Error Mean Level Least Sq.
Mean Std. Error Mean
1 2.80 0.913 2.80 1 2.89 0.913 2.89 2 2.89 0.913 2.89 2 2.80 0.913 2.80 Aggregate Size & Mix Temperature Aggregate Size & Cure Time
Level Least Sq. Mean Std. Error Mean Level Least Sq.
Mean Std. Error Mean
1,1 2.15 0.129 2.15 1,1 1.92 0.129 1.92 1,2 1.95 0.129 1.95 1,2 2.17 0.129 2.17 2,1 3.38 0.129 3.38 2,1 3.64 0.129 3.64 2,2 3.89 0.129 3.89 2,2 3.64 0.129 3.64 Aggregate Size & Compaction Temperature Aggregate Size & Mold Preheat Time
Level Least Sq. Mean Std. Error Mean Level Least Sq.
Mean Std. Error Mean
1,1 2.12 0.129 2.12 1,1 2.04 0.129 2.04 1,2 1.98 0.129 1.98 1,2 2.05 0.129 2.05 2,1 3.67 0.129 3.67 2,1 3.56 0.129 3.56 2,2 3.61 0.129 3.61 2,2 3.72 0.129 3.72 Aggregate Size & Binder Type Mix Temperature & Cure Time
Level Least Sq. Mean Std. Error Mean Level Least Sq.
Mean Std. Error Mean
1,1 2.03 0.129 2.03 1,1 2.58 0.129 2.58 1,2 2.07 0.129 2.07 1,2 2.95 0.129 2.95 2,1 3.75 0.129 3.75 2,1 2.98 0.129 2.98 2,2 3.53 0.129 3.53 2,2 2.87 0.129 2.87
46
Table B.2 Least Squares Means Tables (JMP Output) Continued
Mix Temperature & Compaction Temperature Mix Temperature & Mold Preheat Time
Level Least Sq. Mean Std. Error Mean Level Least Sq. Mean Std. Error Mean
1,1 2.75 0.129 2.75 1,1 2.67 0.129 2.67
1,2 2.78 0.129 2.78 1,2 2.86 0.129 2.86
2,1 3.03 0.129 3.03 2,1 2.93 0.129 2.93
2,2 2.81 0.129 2.81 2,2 2.92 0.129 2.92
Mix Temperature & Binder Type Cure Time and Compaction Temperature
Level Least Sq. Mean Std. Error Mean Level Least Sq. Mean Std. Error Mean
1,1 2.80 0.129 2.80 1,1 2.80 0.129 2.80
1,2 2.73 0.129 2.73 1,2 2.73 0.129 2.73
2,1 2.97 0.129 2.97 2,1 2.98 0.129 2.98
2,2 2.88 0.129 2.88 2,2 2.84 0.129 2.84
Cure Time and Mold Preheat Time Cure Time and Binder Type
Level Least Sq. Mean Std. Error Mean Level Least Sq. Mean Std. Error Mean
1,1 2.80 0.129 2.80 1,1 2.70 0.129 2.70
1,2 2.76 0.129 2.76 1,2 2.86 0.129 2.86
2,1 2.80 0.129 2.80 2,1 3.07 0.129 3.07
2,2 3.02 0.129 3.02 2,2 2.74 0.129 2.74
Compaction Temperature & Mold Preheat Time Compaction Temperature & Binder Type
Level Least Sq. Mean Std. Error Mean Level Least Sq. Mean Std. Error Mean
1,1 2.84 0.129 2.84 1,1 2.99 0.129 2.99
1,2 2.95 0.129 2.95 1,2 2.79 0.129 2.79
2,1 2.76 0.129 2.76 2,1 2.78 0.129 2.78
2,2 2.83 0.129 2.83 2,2 2.81 0.129 2.81
Mold Preheat Time & Binder Type
Level Least Sq. Mean Std. Error Mean
1,1 2.85 0.129 2.85
1,2 2.74 0.129 2.74
2,1 2.92 0.129 2.92
2,2 2.86 0.129 2.86
47
Aggregate Size
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.1 Least Mean Squares Plots Aggregate Size
Mix Temperature
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.2 Least Mean Squares Plots Mix Temperature
48
Cure Time
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.3 Least Mean Squares Plots Cure Time
Compaction Temperature
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
49
Figure B.4 Least Mean Squares Plots Compaction Temperature
Binder Type
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.5 Least Mean Squares Plots Binder Type
50
Mold Preheat Time
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.6 Least Mean Squares Plots Mold Preheat Time
Aggregate Size and Mix Temperature
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.7 Least Mean Squares Plots Agggregate Size and Mix Temperature
51
Aggregate Size and Cure Time
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.8 Least Mean Squares Plot Aggregate Size and Cure Time
Aggregate Size and Compaction Temperature
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.9 Least Mean Squares Plots Aggregate Size and Compaction Temperature
52
Aggregate Size and Mold Preheat Time
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.10 Least Mean Squares Plots Aggregate Size and Mold Preheat Time
Aggregate Size and Binder Type
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
53
Figure B.11 Least Mean Squares Plots Aggregate Size and Binder Type
Mixing Temperate and Compaction Temperature
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.12 Least Mean Squares Plots Mixing and Compaction Temperature
54
Mixing Temperate and Cure Time
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.13 Least Mean Squares Plots Mix Temperature and Cure Time
Mixing Temperate and Mold Preheat Time
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.14 Least Mean Squares Plots Mixing Temperature and Mold Preheat Time
55
Mixing Temperature and Binder Type
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.15 Least Mean Squares Plots Mixing Temperature and Binder Type
Cure Time and Compaction Temperature
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
56
Figure B.16 Least Mean Squares Plots Cure Time and Compaction Temperature
Cure Time and Mold Preheat Time
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.17 Least Mean Squares Plots Cure Time and Mold Preheat Time
57
Cure Time and Binder Type
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.18 Least Mean Squares Plots Cure Time and Binder Type
Compaction Temperature and Mold Preheat Time
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.19 Least Mean Squares Plots Compaction Temperature and Mold Preheat Time
58
Compaction Temperature and Binder Type
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.20 Least Mean Squares Plots Compaction Temperature and Binder Type
Binder Type & Mold Preheat Time
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
LEVEL
VTM
(%)
2 1
Figure B.21 Least Mean Squares Plots Binder Type and Mold Preheat Time
59
Table B.3 Data Sheet for VTM Determination After 1 Hour
Sample
Rice Pill 1 Pill 2
Avg. Air Voids (%) Dry Weight (g)
Submerged Weight
(g)
Weight of
Pycnometer in
Water (g)
Gmm
Dry Weight
(g) Submerged Weight (g) SSD Weight (g) G
mb Air Voids (%) Dry Weight (g) Submerged Weight (g) SSD Weight (g) G
mb Air Voids (%)
1 1192.9 2029.1 1330 2.416 4616.7 2672.1 4620.9 2.369 1.94% 4671.1 2702.4 4672.2 2.371 1.84% 1.89%
2 1516.4 2235 1330 2.480 4741.1 2765.3 4747.8 2.391 3.58% 4758.2 2770.4 4768.9 2.381 4.00% 3.79%
3 1514.7 2233.4 1330 2.478 4762.6 2779.6 4769.6 2.393 3.41% 4750 2774.6 4759 2.394 3.40% 3.40%
4 1145.2 2001.9 1330 2.420 4650.9 2692.4 4655.8 2.369 2.10% 4651.7 2691 4656.9 2.366 2.21% 2.15%
5 1511.3 2230.8 1330 2.476 4747.3 2770.5 4755 2.392 3.37% 4736.5 2772.8 4746.1 2.400 3.04% 3.20%
6 1024.3 1929 1330 2.408 4668.4 2696.9 4672.5 2.363 1.88% 4659.6 2695.3 4662.2 2.369 1.64% 1.76%
7 1069.5 1959.2 1330 2.429 4661.6 2696 4667.9 2.364 2.68% 4648.8 2690.7 4652.7 2.369 2.45% 2.57%
8 1528.2 2242.7 1330 2.483 4734.9 2757.7 4748.9 2.378 4.23% 4722.8 2755.4 4734.5 2.386 3.89% 4.06%
9 1508.7 2228.7 1330 2.473 4746.5 2763.1 4755.9 2.382 3.70% 4751.8 2767.8 4762.4 2.382 3.68% 3.69%
10 1108.5 1977.1 1330 2.402 4640.5 2679 4650.9 2.353 2.05% 4666.1 2693.6 4678.2 2.351 2.14% 2.09%
11 1083.7 1966.5 1330 2.423 4652.7 2692.2 4659.3 2.365 2.40% 4638.4 2678.7 4646.1 2.358 2.71% 2.55%
12 1537.6 2250.1 1330 2.490 4744.5 2770.8 4757.6 2.388 4.10% 4740.8 2754.6 4751.5 2.374 4.66% 4.38%
13 1116 1980.2 1330 2.396 4636.1 2680.1 4642.2 2.363 1.38% 4666 2695.2 4671.7 2.361 1.47% 1.42%
14 1557.1 2258 1330 2.475 4739.4 2758.5 4747.8 2.382 3.74% 4737.5 2758.3 4746.4 2.383 3.72% 3.73%
15 1505.9 2227.7 1330 2.476 4714 2748.9 4723.5 2.387 3.58% 4711.2 2744.8 4723.5 2.381 3.84% 3.71%
16 1180.9 2022.4 1330 2.417 4625 2680.4 4628.1 2.375 1.77% 4681.7 2713.6 4685.1 2.375 1.77% 1.77%
17 1567.3 2263.2 1330 2.472 4737.4 2770.2 4748.2 2.395 3.10% 4741.2 2770.4 4751.9 2.393 3.19% 3.15%
18 1042.8 1939.5 1330 2.407 4636.1 2672.4 4643.4 2.352 2.26% 4646.2 2675.2 4654.2 2.348 2.45% 2.36%
19 1014.9 1926.3 1330 2.425 4640.6 2689.9 4645.5 2.373 2.13% 4654.9 2696.5 4661.4 2.369 2.29% 2.21%
20 1544.1 2251 1330 2.478 4740.8 2767.6 4752 2.389 3.59% 4747.8 2771 4763.9 2.382 3.86% 3.73%
21 1001.1 1917.1 1330 2.418 4633.7 2689.5 4645.5 2.369 2.03% 4640.4 2688.8 4647.4 2.369 2.02% 2.03%
22 1514.3 2237.1 1330 2.494 4740.7 2768.6 4752.5 2.390 4.18% 4737.5 2766.1 4749 2.389 4.20% 4.19%
23 1527.8 2240.3 1330 2.474 4741.6 2780.6 4751.9 2.405 2.78% 4736.7 2776.8 4751.7 2.398 3.06% 2.92%
24 1020.4 1926 1330 2.404 4647.6 2693.6 4650 2.376 1.20% 4672 2704.2 4677.5 2.368 1.53% 1.36%
25 1013.3 1921.9 1330 2.405 4634 2687.1 4648 2.363 1.72% 4630 2682.5 4640.3 2.365 1.65% 1.69%
26 1566.7 2265.3 1330 2.481 4738.7 2768.5 4749.9 2.392 3.62% 4738.3 2762.9 4750.4 2.384 3.92% 3.77%
27 1507.4 2226.6 1330 2.468 4720.2 2754.6 4734.1 2.385 3.38% 4740.1 2765.7 4755.5 2.382 3.47% 3.43%
28 1039.6 1937.8 1330 2.408 4647.7 2680.4 4653.5 2.356 2.16% 4647.1 2686 4651.7 2.364 1.81% 1.98%
29 1527.3 2240 1330 2.474 4741 2767.7 4753 2.388 3.48% 4748 2766.6 4758.4 2.384 3.65% 3.57%
30 1068 1954.5 1330 2.408 4644.7 2683.2 4651.8 2.359 2.02% 4641.2 2675.6 4646.8 2.355 2.23% 2.12%
31 1097.1 1975.4 1330 2.429 4631 2677.9 4638.2 2.362 2.74% 4642.3 2680.8 4648.7 2.359 2.87% 2.80%
32 1509.3 2230.1 1330 2.478 4732.4 2765.2 4745.7 2.389 3.55% 4730.5 2766.8 4744.3 2.392 3.44% 3.50%
60
Table B.4 Data Sheet for VTM Determination After 24 Hours
Sample
Rice Pill 1 Pill 2 Avg. Air Voids
(%) Dry Weight
(g)
Submerged
Weight (g)
Weight of Pycnometer
in Water (g) G
mm
Dry Weight
(g)
Submerged
Weight (g)
SSD Weight
(g) G
mb
Air Voids
(%) Dry Weight (g)
Submerged
Weight (g) SSD Weight (g) G
mb Air Voids (%)
1 1192.9 2029.1 1330 2.416 4617.7 2672 4624.8 2.365 2.12% 4672.3 2701.2 4677.2 2.365 2.12% 2.12%
2 1516.4 2235 1330 2.480 4742.3 2765.2 4751.1 2.388 3.72% 4759.5 2769.4 4770.6 2.378 4.11% 3.91%
3 1514.7 2233.4 1330 2.478 4763 2778.3 4768.9 2.393 3.43% 4751.2 2771.6 4757.7 2.392 3.45% 3.44%
4 1145.2 2001.9 1330 2.420 4651.8 2689 4658.5 2.362 2.38% 4653.2 2690.6 4659 2.364 2.30% 2.34%
5 1511.3 2230.8 1330 2.476 4749.6 2769.9 4753.6 2.394 3.28% 4739.2 2772.6 4745.6 2.402 2.97% 3.12%
6 1024.3 1929 1330 2.408 4668.9 2694.1 4672.8 2.360 2.03% 4659.9 2691.8 4662.4 2.365 1.81% 1.92%
7 1069.5 1959.2 1330 2.429 4662.2 2701.6 4664.7 2.375 2.23% 4649.4 2690.7 4652 2.371 2.41% 2.32%
8 1528.2 2242.7 1330 2.483 4737.6 2755.7 4749.5 2.376 4.30% 4724.9 2753.7 4736.8 2.383 4.04% 4.17%
9 1508.7 2228.7 1330 2.473 4748.8 2760.9 4756.9 2.379 3.81% 4754.1 2766.6 4763.7 2.381 3.75% 3.78%
10 1108.5 1977.1 1330 2.402 4641.3 2678.1 4645.5 2.359 1.81% 4667.3 2692.5 4670.5 2.360 1.78% 1.79%
11 1083.7 1966.5 1330 2.423 4654 2692.7 4658 2.368 2.28% 4640.2 2676.7 4644.4 2.358 2.69% 2.48%
12 1537.6 2250.1 1330 2.490 4746.1 2768.2 4757.8 2.385 4.20% 4743 2751.5 4753.1 2.370 4.84% 4.52%
13 1116 1980.2 1330 2.396 4636.7 2678.8 4640.7 2.363 1.36% 4666.9 2700.3 4670.4 2.369 1.13% 1.24%
14 1557.1 2258 1330 2.475 4740.9 2758.6 4750 2.381 3.82% 4738.6 2758.6 4746.7 2.383 3.70% 3.76%
15 1505.9 2227.7 1330 2.476 4715.3 2747.3 4723.9 2.386 3.65% 4713.3 2744.5 4723.5 2.382 3.81% 3.73%
16 1180.9 2022.4 1330 2.417 4626.3 2681.3 4629.1 2.375 1.75% 4682.9 2712.3 4685.5 2.373 1.83% 1.79%
17 1567.3 2263.2 1330 2.472 4738.7 2770.4 4748.3 2.396 3.07% 4742.6 2768.9 4755.1 2.388 3.40% 3.23%
18 1042.8 1939.5 1330 2.407 4636.1 2672.4 4643.4 2.352 2.26% 4646.2 2675.2 4654.2 2.348 2.45% 2.36%
19 1014.9 1926.3 1330 2.425 4641.1 2689.2 4648 2.369 2.27% 4656 2694.3 4663.1 2.365 2.46% 2.37%
20 1544.1 2251 1330 2.478 4742.6 2766.1 4752.3 2.388 3.64% 4750.5 2771.4 4761.4 2.387 3.67% 3.66%
21 1001.1 1917.1 1330 2.418 4635.6 2686.5 4634.9 2.379 1.61% 4641.6 2686.5 4650.4 2.363 2.26% 1.94%
22 1514.3 2237.1 1330 2.494 4742.5 2768 4750.3 2.392 4.07% 4739.3 2765.8 4747.1 2.392 4.09% 4.08%
23 1527.8 2240.3 1330 2.474 4742.9 2779.5 4753.5 2.403 2.89% 4740.2 2771.7 4749.3 2.397 3.12% 3.01%
24 1020.4 1926 1330 2.404 4643.5 2688.2 4650.9 2.366 1.60% 4672.7 2703.1 4677.4 2.367 1.56% 1.58%
25 1013.3 1921.9 1330 2.405 4635.4 2686.4 4649.5 2.361 1.80% 4630.7 2682.2 4640.5 2.365 1.66% 1.73%
26 1566.7 2265.3 1330 2.481 4740.4 2767.1 4748.6 2.392 3.59% 4740 2763.7 4751.2 2.385 3.89% 3.74%
27 1507.4 2226.6 1330 2.468 4721.9 2755.1 4732.8 2.388 3.26% 4743.3 2764.2 4756 2.381 3.50% 3.38%
28 1039.6 1937.8 1330 2.408 4648.7 2683.2 4659.3 2.352 2.29% 4648 2685.9 4655.1 2.360 1.96% 2.13%
29 1527.3 2240 1330 2.474 4741.8 2766.9 4750.6 2.390 3.39% 4749.1 2766.6 4759.8 2.383 3.70% 3.54%
30 1068 1954.5 1330 2.408 4646 2681.4 4651.6 2.358 2.08% 4641.6 2681.4 4648.8 2.359 2.03% 2.05%
31 1097.1 1975.4 1330 2.429 4634.1 2671.6 4640.1 2.354 3.08% 4643.3 2678.9 4649.9 2.356 3.01% 3.04%
32 1509.3 2230.1 1330 2.478 4734.9 2762.6 4748.5 2.384 3.76% 4733 2765.6 4746.4 2.389 3.55% 3.66%