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Mohamed*
I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 45|P a g e
Impact of Vehicle Class and Tire Pressure on Pavement
Performance in MEPDG
Mohamed*
I. E. Attia, and Manal*
A. Ahmed
*Assistant Professor, Zagazig University, Zagazig, Egypt
ABSTRACT
The new Mechanistic-Empirical Pavement Design Guide (MEPDG) design and analysis procedures defines
the exact traffic loading by defining the specific number of each vehicle class and the use of axle load
distribution factors instead of the equivalent single axle load (ESAL). The number of traffic inputs (parameters)
in MEPDG was found to be 17024. This research aimed to evaluate the sensitivity of the predicted flexible
pavement distress to vehicle class and tire pressure in MEPDG. To evaluate the impact of vehicle (truck) class
on pavement sections, different cases of loading were analyzed. For each case, the MEPDG Ver. 1.1 was used to
evaluate the effect of tire pressure by solving each case for a tire pressure of 120 and 140 psi. The effect of the
traffic parameters on asphalt pavement (AC) rutting, base rutting, subgrade rutting, international roughness
index (IRI), longitudinal cracking and fatigue (alligator) cracking were investigated.
It was found that vehicle class distribution (VCD) would cause clear impact (comparable to the effect of
AADTT level) only if the major traffic is of specific class (very light or very heavy). If this is not the case, the
vehicle class distribution will not be a significant factor that affects the final design because most of the trucks
had similar impact on flexible pavement distresses. The impact of tire pressure is clear on longitudinal cracking,
fatigue cracking and AC rutting, and have no significant impact on both base and subgrade rutting.
Key Words: MEPDG, Traffic Analysis, Flexible Pavement, Tire Pressure, Vehicle Class Distribution
I. INTRODUCTION
The Pavement design and analysis procedures
contained in the new Mechanistic-Empirical
Pavement Design Guide (MEPDG) represent a
significant advances from those empirical procedures
used in the American Association of State Highway
and Transportation Officials (AASHTO) 1993 Guide
as stated by many researchers [1-13]. One major
enhancement in the analysis procedure is related to
traffic inputs. The MEPDG define the exact traffic
loading by defining the specific number of each truck
class and the use of axle load distribution factors
(ALDF) , or axle load spectra (ALS), rather than the
traditional equivalent single axle load (ESAL) input
in current procedures .
Through reviewing the MEPDG, the number of
traffic inputs (parameters) was found to be 17024.
Though many researchers investigated different
traffic inputs in MEPDG and their impact on the
predicted distress, limited work was conducted to
evaluate and understand the effect of tire pressure
and vehicle class in MEPDG on the predicted
pavement distress.
The main objective of this study is to evaluate
the sensitivity of the predicted flexible pavement
distress to vehicle class and tire pressure in MEPDG.
This objective can be achieved through the steps:
1. Review the current state of knowledge
regarding the effect of different traffic inputs
in MEPDG on predicted flexible pavement
distress.
2. Improve the understanding of the sensitivity
of the predicted flexible pavement distress to
vehicle class and tire pressure.
II. Review of Traffic Inputs in MEPDG
Several reports and papers [1-13] summarized the
main traffic inputs in the MEPDG and the effect of
those inputs on predicted distress in MEPDG, the
main elements of traffic inputs are summarized in the
following section along with summary for their
impact on flexible pavement distress.
Traffic Volume Basic Information
Two-way annual average daily truck traffic
(AADTT) is considered the key element in traffic
parameters and was found to directly affect predicted
distress [7, 14], where as the three parameters:
number of lanes, percent truck in design lane and
percent truck in design direction are expected to
affect the number of load repetition on pavement
section and thus affect the predicted distress. It was
reported that operational speed has no impact on
predicted distress [7].
Axle load Distribution Factors (ALDF)
The axle load distribution factors represent the
frequency of the total axle applications within each
RESEARCH ARTICLE OPEN ACCESS
Mohamed*
I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 46|P a g e
load interval for the four basic types of axle
configurations (single, tandem, tridem and quad), for
each vehicle class. MEPDG has 10 vehicle classes
starting from Class 4 through Class 13 [3,4 ].Through
working with the MEPDG it was found that the total
number of axle load factors = 16800 input {12
months*10 truck classes* [39 possible loads*2 axle
types (single, tandem) + 31possible loads*2 axle
types (tridem and quad)]}. The summation of the axle
load factor for each truck type for each axle type for
each month should add up to 100%. Typical axle load
distribution factor used in MEPDG is presented in
Figure 1.
Because ALDF is thought of as a big step in
mechanistic analysis, several researchers tried to
evaluate the sensitivity of the MEPDG to the ALDF
input parameters, however the results were
contradictory. It was reported that MEPDG predicted
performance is sensitive to site specific ALDF [1, 6,
8]. In another study, it was found that the MEPDG is
moderately sensitive to axle load spectra (ALS) for
typical Washington Department of Transportation
(WSDOT) pavement design [3]. However this was
not the case based on different ALDF collected in
Ontario, where the pavement life of the pavement
was almost unaffected by the ALDF [10]. El-Badawy
et al. [13] reported that the state wide ALDF yielded
higher longitudinal cracking compared to default
MEPDG load spectra; however, no significant impact
was found in the AC rutting, total rutting and
international roughness index (IRI). This was based
on data collected from 25 different sites in Idaho
[13]. The difference in findings can be attributed to
the fact that each researcher compared the typical
MEPDG values with actually collected data on the
state where the research was conducted, so the
conclusions are confound within the used data set and
was affected by how far the variation between the
actual data set and the default MEPDG.
Traffic Volume Adjustment Factors
They included vehicle class distribution (VCD),
monthly adjustment factors (MAF), hourly
distribution factors (HDF), and traffic growth factors
(TGF). The VCD include 10 classes of vehicles
(numbered 4 through 13) as defined by Federal
Highway Administration (FHWA) are used in
MEPDG. Figure 2 presents the 10 classes along with
the typical percentage of each class in the truck
traffic stream. The predicted distress in MEPDG was
sensitive to VCD based on clustering analysis for
data from North Carolina [8], however the details
regarding this impact was not reported. Swan et al.
[10] evaluated changing Class 5 and Class 9 trucks
by 15 and 30% and reported a variation of pavement
life of less than 1 year based on IRI criterion (less
than 127 in/mile). Li et al. [3] reported that VCD
affect the predicted rutting and cracking, with no
effects on IRI. It was also reported that VCD affected
pavement life based on rutting criterion [6]. The
Monthly adjustment factors (MAF) consist of 10
vehicle classes *12 months = 120 inputs. Research
[8], conducted at North Carolina showed that
MEPDG predicted distress is not sensitive to MAF.
However, Li et al.[3] reported that MAF affected the
predicted rutting and cracking, with no effects on IRI.
The hourly distribution factors (HDF)as 24 inputs
were found to have little impact on predicted flexible
pavement distresses [8, 9], and was reported in
another study[3] to have no effect on predicted
distress .Traffic growth factors: (either 1 parameter
for all vehicle classes or 10 parameters if growth rate
is different for each vehicle class). This should affect
the total number of load repetition over the pavement
life and is expected to have great impact on predicted
distress.
General traffic inputs
General traffic inputs like number of axles/trucks
as 40 inputs (10 vehicle classes * 4 types of axle
configurations), whereas axle configuration are 6
inputs (average axle width, dual tire spacing, tire
pressure, and axle spacing (3 parameters for tandem,
tridem and quad axles)).Wheel base are 6 inputs as
average axle spacing (3 categories; (short, medium
and long)), percentage of trucks for each axle space.
Lateral traffic wanders which are 3 inputs. It was
reported to have no significant effect on predicted
distress in MEPDG [7].
It is reported that tire pressure plays an important
role in the tire-pavement interaction process [15]. It
was reported that inflation pressure used in truck tires
has increased significantly over the years as it leads
to decrease in truck operation cost [16-18]. Abdel-
Motaleb [16] conducted a survey over two major
highways in Egypt and reported that 59% of the
evaluated trucks had tire inflation pressure greater
than 120 and 2% had tire inflation pressure over 140
psi. Mateos and Snyder [15, 19] tested four sections
at the Minnesota Road research facility (Mn/ROAD)
with a moving load configured at various axle
loadings and tire pressures and reported that changes
in tire pressure did not significantly affect pavement
response. Pidwerbesky [15, 20] subjected a thin
surfaced granular pavement with a weak subgrade to
varying wheel loads and tire pressures and reported
that increasing tire pressure resulted in small decrease
in the vertical strain at the top of the subgrade.
Bonaquist et al. [21] examined two pavement
sections of the same structure with the accelerated
loading facility (ALF) with different tire pressures
and reported an increase in rutting and cracking on
the section trafficked with the higher tire pressure.
However, the results were not clear for them because
the sections were subjected to different
Mohamed*
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ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 47|P a g e
environmental conditions. Other researchers [15, 22]
reported increase in pavement stress caused by high
tire pressures. However they found the effect of high
tire pressure was insignificant to pavement
performance. Two sections with varying tire
pressures were tested and it was reported that high
tire pressures caused higher tensile strain at the
bottom of the AC layer but had no significant effect
on vertical strain at the top of subgrade [15, 23].
Based on field sections, a significant effect of tire
pressures on tensile strain at the bottom of the AC
layer of the pavements was also reported [24-27].
Limited work was conducted to evaluate the
sensitivity of the predicted distress in MEPDG to the
tire pressure. Currently, in MEPDG Ver. 1.1 the
default tire pressure is set to 120 psi.
III. RESEARCH METHODOLOGY
Previous studies were limited to small changes in
specific truck types based on the state where the work
was conducted. The idea of this study is to develop
an understanding about the effect of VCD in a
general manner not connected to a specific state. To
evaluate the impact of vehicle (truck) class on
pavement sections, different cases of loading were
analyzed. The first case presents the typical vehicle
class distribution. Then this case was compared to
traffic streams that consisted of 100% of each truck
type (i.e, one case with 100% Class 4, the second
case consisted of 100% Class 5, and so on for all
truck classes), so the total number of trucks over the
pavement life is the same for all cases. The idea is to
understand the impact of VCD on pavement
performance isolated from any other factor. For each
case, the MEPDG Ver. 1.1 was used to evaluate the
effect of tire pressure by solving each case for a tire
pressure of 120 and 140 psi. All the analysis was
conducted on thin and thick hot mix asphalt (HMA)
sections (2 inches vs. 6 inches thick HMA). Table 1
presents the input data for all the cases used in the
MEPDG analysis.
The effect of the traffic parameters on asphalt
pavement (AC) rutting, base rutting, subgrade rutting,
international roughness index (IRI), longitudinal
cracking and fatigue (alligator) cracking were
investigated. The variation of the predicted distress
was defined using Equation 1. The resulted
variability was also compared to the variability
resulted from increasing ADTT.
Percent distress variability (PDV) for the impact of
AADTT was compared to what was found for the
effect of VCD. AADTT for thin pavement was
evaluated at two levels (1000 and 4000 vehicle/day)
for the default VCD. For thick pavement ADTT was
ranged from (7000 to 14000 vehicle/day) for default
VCD.
Percent Distress Variability (PDV) =
π·π‘–π‘ π‘‘π‘Ÿπ‘’π‘ π‘  π‘œπ‘“ π‘Ÿπ‘’π‘“π‘’π‘Ÿπ‘’π‘›π‘π‘’ π‘π‘Žπ‘ π‘’ βˆ’π·π‘–π‘ π‘‘π‘Ÿπ‘’π‘ π‘  π‘œπ‘“ π‘Žπ‘›π‘Žπ‘™π‘¦π‘ π‘’π‘‘ π‘π‘Žπ‘ π‘’
π·π‘–π‘ π‘‘π‘Ÿπ‘’π‘  𝑠 π‘œπ‘“ π‘Ÿπ‘’π‘“π‘’π‘Ÿπ‘’π‘›π‘π‘’ π‘π‘Žπ‘ π‘’
*100 (1)
Where: Distress of reference case: is the distress after
10 years, calculated based on default MEPDG
vehicle class distribution presented in Figure 2.
IV. RESULTS AND ANALYSIS
Effect of Vehicle Class and Tire pressure on
Longitudinal Cracking
Figure (3-a,b ) presents the effect of truck type
and tire pressure on longitudinal cracking. In general;
Class 5 has the lowest impact on pavement cracking
followed by Class 4 then Class 8. The impact of truck
type was dependent on the thickness of HMA. For
thin HMA sections, Class 13 showed the most critical
impact on the longitudinal crack, followed by Class
7, followed by Class 10. Class 11 and 12 were
exactly identical for their impact on pavement. For
thick HMA sections, Class 7 and 13 had same effect
on pavement; Class 12 had much more severe impact
compared to Class 11. Using Class 13 instead of the
typical MEPDG VCD caused increase in longitudinal
cracking as PDV of (-277% and -134%) in cases of
thin and thick HMA sections at 50% reliability.
Negative PDV indicates that vehicle class had more
severe impact on the distress compared to default
MEPDG. When evaluating the distress at 90%
reliability, using Class 13 instead of the typical
MEPDG VCD caused increase in longitudinal
cracking of 50 and 68% in cases of thin and thick
HMA sections. Summary of the range of PDV for all
distresses is presented in Table 2. On the other hand
using lighter trucks like Class 5 resulted in PDV of
100 for both thin and thick HMA sections. The range
of PDV for longitudinal crack reached (100-(-277) =
377 %) for thin HMA sections. The effect of VCD
(presented by the PDV) much lower for the case of
thick HMA sections compared to thin HMA sections.
Increasing the reliability level from 50% to 90%
reduced the effect of changing VCD, clear reduction
of PDV was found.
Figure 2 indicates that vehicle classes as used in
MEPDG can be grouped into three categories.
Category one is for trucks having only 2 axles per
truck in average (Classes 4, 5, 6 and 7). Category two
is for trucks containing 3 axles per truck in average
(Classes 8, 9 and 10). Category three for large trucks
containing 4 to 5 axles (from Figure 2 it can be seen
that the total number of axles/truck =4.5 axles); and
this group would contain Classes 11, 12 and
13).Figure 1 indicates that for both single and tandem
axles, all classes are so close in the axle load except
of Class 5 and Class 8 which posses' lighter loads.
Class 13 has the heaviest tandem axle load. Class 7
has the heaviest tridem axle load followed by Class
13. This can help in understanding the reason for the
Mohamed*
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different impacts on pavement structure. This can
help in explaining the impact of Classes 13 and 7
compared to other lighter trucks. Table 2
shows that changing vehicle class can cause severe
impact on longitudinal cracking compared to traffic
level.
When tire pressure increased from 120 to 140
psi, longitudinal cracking PDV varied from 34 to
67% in the case of thin HMA sections. The impact of
tire pressure on longitudinal cracking was
significantly lower in the case of thick HMA section
as PDV varied from 0.50 to 32% for increasing tire
pressure from 120 to 140 psi for different truck
classes, as presented in Figure 3 and Table 2. The
impact of increasing the tire pressure was dependent
on the truck class, thickness of HMA, and reliability
level. For thin HMA increasing tire pressure
increased the longitudinal cracking, this was changed
for thick HMA, as increasing tire pressure reduced
the longitudinal cracking for most of the heavy truck
types (Classes 7, 10 and 13) while it did not show
impact on lighter trucks (Classes 4, 5, 8 and 11), as
presented in Figure 3(a, b, c and d). Increasing the
reliability level from 50% to 90% reduced the effect
of changing tire pressure. Summary of PDV due to
change in tire pressure for all distresses is presented
in Table 3.
Effect of Vehicle Class and Tire pressure on
Alligator Cracking
Figure 4 presents the effect of truck type and tire
pressure on alligator (fatigue) cracking. Class 5 had
the lowest impact on pavement followed by Class 4
then Class 8. The impact of truck type was dependent
on the thickness of HMA. For thin HMA sections,
Class 13 showed the most critical impact on the
alligator cracking, followed by Class 7, then Class
10. Class 11 and 12 had the same impact on thin
pavement. However, for thick HMA sections, Class
11 had more severe impact compared to Class 10 and
12, as presented in Figure 4 (a, b).
The percent distress variability (PDV) was used
to understand the impact of vehicle class on fatigue
cracking. Table 2 and Figure 4 show that PDV would
vary from (-343 %to 95%) when different vehicles
are used in the case of thin HMA sections at 50%
reliability. This effect is significantly reduced to (-28
to 89%) when the analysis was conducted at 90%
reliability. For thick HMA sections the effect of VCD
was less than what was found for thin HMA sections.
Table 2 and Figure 4 show that PDV would vary
from (-123 %to 78%) when different vehicles are
used in the case of thin HMA sections at 50%
reliability. This effect is significantly reduced to (-37
to 74%) when the analysis was conducted at 90%
reliability. Table 2 also shows that changing vehicle
class can induce more severe impact on fatigue
cracking compared to traffic level for thick HMA
sections.
The impact of tire pressure on fatigue cracking
was then evaluated. Alligator cracking PDV varied
from 43 to 48% when tire pressure increased from
120 to 140 psi, in the case of thin HMA sections. The
impact of tire pressure on alligator cracking was
significantly lower in the case of thick HMA section
as it varied by 6.5% to 8% for increasing tire pressure
from 120 to 140 psi for different truck Classes.
The MEPDG alligator cracking model calculates
the number of load repetition to failure; then the
model calculates the damage as a percentage after a
specific number of load repetition, then uses a
transfer function to transfer the damage into
percentage cracked area [28]. In MEPDG, the
number of load repetitions to failure is function of the
tensile strain to the power of (-3.9), meaning that
10% variation in the tensile strain at the bottom of the
AC layer results in changing the number of load
repetition to failure by 50% [29]. This can explain the
sensitivity of thin HMA to variation in tire pressure
and vehicle class compared to thick HMA sections.
With increasing the tire pressure or using heavier
axle loads, the tensile strain at bottom of HMA
increased which reduced significantly the number of
load repetition to failure.
Effect of Vehicle Class and Tire Pressure on
Rutting and IRI
Figure 5 presents the effect of tire pressure and
vehicle Class on AC rutting, total rutting and IRI.
Class 5 had the lowest impact on pavement followed
by Class 4 then Class 8. Class 13 showed the most
critical impact on the AC rutting, with 40% increase
in AC rutting compared to default MEPDG. Classes
7, 9, 10, 11 and 12 were very close to each other for
their impact on AC rutting in both thin and thick
pavement (with less than 8% variation between
them). Table 2 indicates that the VCD had limited
effect on subgrade rutting in both cases of thick and
thin HMA section (the PDV varied from -20 to 40%).
The VCD had limited effect on base rutting in both
cases of thick and thin HMA section (the PDV varied
from -15 to 20%). For the total rutting PDV varied
from -24 to 36%. For total rutting the PDV was the
same for both cases of 50% and 90% reliability.
Table 2 shows that changing vehicle class resulted in
PDV (of total rutting) comparable to that resulted
from increasing AADTT.
Table 3 indicates that the tire pressure has no
effect on subgrade and base rutting in both cases of
thick and thin HMA section. The impact of tire
pressure is clear for AC rutting in both cases of thin
and thick HMA sections. Increasing tire pressure
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from 120 to 140 psi caused a change in AC rutting by
10% in case of thin HMA and 18% in case of thick
HMA. This agrees with experimental work published
by Akram et al. [23] where tire pressure affected the
strain at bottom of HMA and have no impact on
strain on top of subgrade. For the overall section
rutting, increasing tire pressure from 120 psi to 140
psi caused a maximum increase of 3.5% and 8.8% of
total rutting in the case of thin and thick HMA
sections respectively.
Table 2 presents the effect of vehicle class on
IRI. Results indicate that the impact is relatively
small (PDV varied from -12 to 15%) for both thin
and thick HMA. This small impact is almost the same
as what has resulted from increasing the AADTT.
Tire pressure had no impact on IRI, as presented in
Table 3.
V. SUMMARY AND CONCLUSION
This paper investigated the effect of vehicle class
distribution (VCD) and tire pressure on predicted
pavement distress in flexible pavement in MEPDG.
The paper evaluated extreme cases of VCD where the
stream consisted of 100% of each vehicle Class
compared to typical MEPDG VCD. This gave better
understanding of the impact of vehicle Class on
pavement performance isolated from any other factor.
The tire pressure was varied in the analysis from 120
to 140 psi for cases of thin and thick HMA sections.
It can be concluded that:
1. Class 5 had the lowest impact on pavement
distress followed by Class 4 then Class 8.
Class 13 showed the most critical impact on
pavement distresses followed by Class 7. Class
9 gave almost same pavement distress as the
typical MEPDG VCD.
2. The impact of some truck type was dependent
in many cases on the thickness of HMA and
type of distress under consideration. Class 11
and 12 had the same impact on fatigue
cracking of thin pavement while for thick
HMA sections, Class 11 had more severe
impact compared to Class 12. This was the
opposite for what was found for longitudinal
cracking. Vehicle class would have a
significant impact on AC rutting, alligator
cracking, fatigue cracking, and would have
minimal impact on subgrade rutting, base
rutting.
3. The impact of vehicle class is critical and
comparable to the effect of level of traffic
(AADTT level). The VCD would cause clear
impact only if the major traffic is of specific
class (very light or very heavy). If this is not
the case, the vehicle class distribution will not
be a significant factor that affects the final
design because most of trucks had similar
impact on flexible pavement distresses.
4. The impact of tire pressure is mainly clear on
fatigue cracking and AC rutting in both cases
of thin and thick HMA sections, and have no
significant impact on both base and subgrade
rutting. Increasing tire pressure caused an
increase in longitudinal cracking in case of
thin HMA sections and caused reduction in the
case of thick HMA sections. Once the
reliability level is increased to 90%, increasing
tire pressure did not show impact on any
pavement distress except for longitudinal
cracking.
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I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 50|P a g e
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[19.] Mateos, A., and Snyder, M. B. (2002).
Validation of Flexible Pavement Structural
Response Models with Data from the Minnesota
Road Research Project. Transportation
Research Record No. 1806, Transportation
Research Board, Washington DC, pp.19-29.
[20.] Pidwerbesky, B.D. (1995). Strain Response and
Performance of Subgrades and Flexible
Pavements under Various Loading Conditions.
Transportation Research Record No.1482,
Transportation Research Board, Washington
DC, pp 87-93.
[21.] Bonaquist, R., Surdahl, R., and Mogawer, W.
(1989). Effect of Tire Pressure on Flexible
Pavement Response and Performance.
Transportation Research Record No. 1227,
Transportation Research Board, Washington
DC, pp 97-106.
[22.] Sebaaly, P.E., and Tabatabaee, N. (1992). Effect
of Tire Parameters on Pavement Damage and
Load-Equivalency Factors. ASCE Journal of
Transportation Engineering, Vol. 118, No. 6, pp
805-819.
[23.] Akram, T., Scullion, T., and Smith, R. E.
(1993). Using the Multidepth Deflectometer to
Study Tire Pressure, Tire Type, and Load
Effects on Pavements. Research Report 1184-2,
Volume 2, Texas Transportation Institute, Texas
A&M University, College Station, Texas.
[24.] Chatti, K., Kim, H. B., Yun, K. K., Mahoney,
J.P. and Monismith, C. L. (1996). Field
Investigation into Effects of Vehicle Speed and
Tire Pressure on Asphalt Concrete Pavement
Strains. Transportation Research Record No.
1539, Transportation Research Board,
Washington DC, pp 66-71.
[25.] Mahoney, J.P., Winters, B.C., Chatti, K.,
Moran, T.J., Monismith, C.L., and Kramer, S.L.
(1995). Vehicle/Pavement Interaction at the
PACCAR Test Site. Final Report No. WARD
384.1, Washington State Department of
Transportation, Olympia, Washington.
[26.] Huhtala, M., Pihlajamaki, J., and Pienimaki, M.
(1989). Effects of Tires and Tire Pressures on
Road Pavements. Transportation Research
Record No. 1227, Transportation Research
Board, Washington DC, pp 107-114.
[27.] Huhtala, M., Alkio, R., Pihljamaki, J.,
Pienmaki, M. and Halonan, P. (1990). Behavior
of Bituminous Materials under Moving Wheel
Loads. Journal of the Association of Asphalt
Paving Technologists, Vol. 59, pp 422-442.
Mohamed*
I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 51|P a g e
[28.] Huang, Y. (1993). Pavement Analysis and
Design, Prentice-Hall, Inc.
[29.] Attia, M., and Abdelrahman, M. (2010).
Variability of RAP Resilient Modulus as a Base
Layer and Its Impact on Flexible Pavement
Performance. Journal of Transportation
Research Record, Vol. 2167, pp 18-29.
[30.] Witczak, M. W., El-Basyouny, M. M., and El-
Badawy, S. (2000). Guide for Mechanistic-
Empirical Design Of New and Rehabilitated
Pavement Structures, Appendix GG-2:
Sensitivity Analysis for Permanent Deformation
for Flexible Pavements.
http://www.trb.org/mepdg/2appendices_GG.pdf
. Accessed July 2010.
TABLE 1 Variables Used in MEPDG Analysis
Variables used in MEPDG
Parameter Variables Source of Data
Traffic Traffic volume AADTT
(vehicle/day)
1000 (medium traffic)a
7000 (high traffic)b
[30]
Vehicle Class Distribution Use 100% of each class
except for the reference
case include the typical
value for VCD as presented
in Figure 2.
Tire pressure 120, 140 psi [17]
HMA Thickness c
2 in
6 in
The 2 in was analyzed only
for the medium traffic
MEPDG data input for all analyzed cases
Traffic Other Traffic Parameters Default MEPDG level 3
Climate Location Minneapolis, St. Paul airport
GWT height 2 ft [30]
HMA Air voids 7% Medium mix [28-30]
Effective Binder content 11%
Total unit weight (Pcf) 150
% Retained ¾” 11
% Retained 3/8” 35
% Retained # 4 52
% Passing # 200 7
PG Grade 58-28
Other HMA parameters Default MEPDG level 3
Base MR 29500 Typical A-1-a base layer
modulus value in MEPDG
Thickness 12 in Selected typical value
Subgrade MR 15000 psi Medium subgrade support
[30]PI 16
a
Medium traffic will be used with thin HMA section (i.e. HMA = 2 in)
b
high traffic will be used with thick HMA section (i.e. HMA =6 in)
c
Arbitrary selected thicknesses to present thin and thick AC layer
AADTT: average annual daily truck traffic, HMA: hot mix asphalt layer
GWT: ground water table height from pavement surface
*: Reference case for each truck distribution is the typical vehicle Class distribution, presented in Figure 2
Extra 2 cases were analyzed to evaluate the effect of ADTT on performance
ο‚· Thin HMA with ADTT of 4000, with typical VCD
ο‚· Thick HMA with ADTT of 14000, with typical VCD (Heavy traffic as defined in [14]
Mohamed*
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ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 52|P a g e
Table 2: Range of PDV (%) due to variation of vehicle class
Distress type Thin HMA (HMA =
2in, AADTT = 1000)
Thin HMA Thick HMA (HMA =
6in, AADTT = 7000)
Thick HMA
Average 90%
reliability
Impact of
increasing
AADTT to
4000 at 90%
reliability
Average 90% reliability Impact of
increasing
AADTT to
14000 at 90%
reliability
Longitudinal
crack
-277 to 93 -50 to 60 -83 -135 to
99
-68 to 82 -45
Fatigue Crack -343 to 95 -28 to 89 -76 -123 to
78
-37 to 74 -29
Subgrade
rutting
-20 to 40 NA NA -20 to 45 NA NA
Base rutting -15 to 20 NA NA -14 to 16 NA NA
HMA Rutting -40 to 50 NA NA -40 to 51 NA NA
Total Rutting -24 to 36 -22 to 34 -38 -28 to 43 -27 to 42 -22
IRI -13 to 14 -12 to 14 -20 -13 to 15 -12 to 15.5 -9.4
Notes:
PDV: Percent Distress Variability, based on Equation 1
Maximum PDV variation presents the highest or lowest PDV as compared to default MEPDG
Average: mean that distress is calculated assuming 50% reliability
NA: no output is available in MEPDG Ver. 1.1
+ve PDV indicates that the vehicle class has lower impact on the distress compared to default MEPDG
-ve PDV indicates that vehicle class has higher impact on the distress compared to default MEPDG
Table 3: Range of PDV (%) due to variation of tire pressure
Distress type Thin HMA ((HMA = 2in) Thick HMA ((HMA = 6in)
Average 90% reliability Average 90%
reliability
Longitudinal crack 34 to 67 9 to 18 0.4 to 32 0.2 to 22
Fatigue Crack 43 to 48 2.3 to 75 6 to 8 1.6 to 22
Subgrade rutting <0.1 NA <0.1% NA
Base rutting 1.7 to 1.9 NA 0.3 to 0.5 NA
HMA Rutting 10 to 10.2 NA 18.2 to
18.7
NA
Total Rutting 2.5 to 3.5 2.4 to 3.7 6.6 to 9 6.6 to 9
IRI 0.7 to 3 0.8 to 2.8 1.3 to 3.3 1.3 to 3
PDV: Percent Distress Variability, based on Equation 1
Mohamed*
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ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 53|P a g e
FIGURE 1 Default axle load distribution in MEPDG.
0
20
40
60
80
100
0 5000 10000 15000 20000 25000
Cummulative
Frequency,%
Axle Load, Lb
SingleAxle
0
20
40
60
80
100
120
0 20000 40000 60000 80000 100000
CummulativeFrequency,%
Axle Load, Lb
Tridem Axle
4 5 6 7 8
9 10 11 12 13
0
20
40
60
80
100
120
0 10000 20000 30000 40000 50000
Cummulative
Frequency,%
Axle Load, Lb
Tandem Axle
Mohamed*
I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 54|P a g e
FIGURE 2 Truck Classes, typical vehicle Class distribution and number of axles per truck in MEPDG.
Truck Class Pecentage Truck Configuration
Mohamed*
I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 55|P a g e
FIGURE 1 Effect of tire pressure and vehicle Class on longitudinal cracking
-300
-250
-200
-150
-100
-50
0
50
100
150
4 5 6 7 8 9 10 11 12 13
LongitudinalcrackingPDV,%
Vehicle Class
c-HMA = 2in, AADTT = 1000
-200
-150
-100
-50
0
50
100
150
4 5 6 7 8 9 10 11 12 13
LongitudinalcrackingPDV,%
Vehicle Class
e-HMA = 6 in, AADTT = 7000
120 psi 140 psi
-60
-40
-20
0
20
40
60
80
4 5 6 7 8 9 10 11 12 13
LongitudinalcrackingPDV,%
Vehicle Class
d-HMA= 2in, AADTT = 1000 (at
90% reliability)
-80
-60
-40
-20
0
20
40
60
80
100
4 5 6 7 8 9 10 11 12 13
LongitudinalcrackingPDV,%
Vehicle Class
f-HMA = 6 in, AADTT = 7000 (at
90% reliability)
120 psi 140 psi
0
20
40
60
80
100
120
Longitudinalcracking,ft/mile
Vehicle Class
a-HMA = 2in, AADTT = 1000
120 psi 140 psi
0
1000
2000
3000
4000
5000
6000
7000
8000
Default
4
5
6
7
8
9
10
11
12
13
Longitudinalcracking,ft/mile
Vehicle Class
b-HMA = 6 in, AADTT = 7000
120 psi 140 psi
Mohamed*
I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 56|P a g e
FIGURE 4 Effect of tire pressure and vehicle Class on alligator cracking.
0
2
4
6
8
10
12
Default
4
5
6
7
8
9
10
11
12
13
Fatigue,%
Vehicle Class
a-HMA = 2in, AADTT = 1000
120 psi 140 psi
0
4
8
12
16
20
Fatigue,%
Vehicle Class
b-HMA = 6 in, AADTT = 7000
120 psi 140 psi
-400
-300
-200
-100
0
100
200
4 5 6 7 8 9 10 11 12 13
FatiguePDV,%
Vehicle Class
c-HMA = 2in, AADTT = 1000
-150
-100
-50
0
50
100
4 5 6 7 8 9 10 11 12 13
FatiguePDV,%
Vehicle Class
e-HMA = 6 in, AADTT = 7000
120 psi 140 psi
-60
-30
0
30
60
90
120
4 5 6 7 8 9 10 11 12 13
FatiguePDVat90%reliability,%
Vehicle Class
d-HMA = 2in, AADTT = 1000 (at
90% reliability)
-60
-30
0
30
60
90
4 5 6 7 8 9 10 11 12 13
FatiguePDVat90%reliability,%
Vehicle Class
f-HMA = 6 in, AADTT = 7000 (at
90% reliability)
120 psi 140 psi
Mohamed*
I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57
www.ijera.com 57|P a g e
Figure 5 Effect of Tire pressure and Vehicle Class on Rutting and IRI
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
Default
4
5
6
7
8
9
10
11
12
13
ACrutting,in
Vehicle Class
a-HMA = 2in, AADTT = 1000
120 psi 140 psi
Tire presure
0
0.1
0.2
0.3
0.4
0.5
0.6
Default
4
5
6
7
8
9
10
11
12
13
ACrutting,in
Vehicle Class
b-HMA = 6 in, AADTT = 7000
120 psi 140 psiTire presure
-30
-20
-10
0
10
20
30
40
4 5 6 7 8 9 10 11 12 13
TotalRuttingPDV,%
Vehicle Class
c-HMA = 2in, AADTT = 1000, at 90
% reliability
-40
-30
-20
-10
0
10
20
30
40
50
4 5 6 7 8 9 10 11 12 13
TotalRuttingPDV,%
Vehicle Class
d-HMA = 6 in, AADTT = 7000, at
90% reliability
-15
-10
-5
0
5
10
15
20
IRIPDV,%
Vehicle Class
e-HMA = 2in, AADTT = 1000, at
90% reliability
120 psi 140 psi
-15
-10
-5
0
5
10
15
20
4 5 6 7 8 9 10 11 12 13
IRIPDV,%
Vehicle Class
f-HMA = 6 in, AADTT = 7000, at
90% reliability
120 psi 140 psi

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Impact of Vehicle Class and Tire Pressure on Pavement Performance in MEPDG

  • 1. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 45|P a g e Impact of Vehicle Class and Tire Pressure on Pavement Performance in MEPDG Mohamed* I. E. Attia, and Manal* A. Ahmed *Assistant Professor, Zagazig University, Zagazig, Egypt ABSTRACT The new Mechanistic-Empirical Pavement Design Guide (MEPDG) design and analysis procedures defines the exact traffic loading by defining the specific number of each vehicle class and the use of axle load distribution factors instead of the equivalent single axle load (ESAL). The number of traffic inputs (parameters) in MEPDG was found to be 17024. This research aimed to evaluate the sensitivity of the predicted flexible pavement distress to vehicle class and tire pressure in MEPDG. To evaluate the impact of vehicle (truck) class on pavement sections, different cases of loading were analyzed. For each case, the MEPDG Ver. 1.1 was used to evaluate the effect of tire pressure by solving each case for a tire pressure of 120 and 140 psi. The effect of the traffic parameters on asphalt pavement (AC) rutting, base rutting, subgrade rutting, international roughness index (IRI), longitudinal cracking and fatigue (alligator) cracking were investigated. It was found that vehicle class distribution (VCD) would cause clear impact (comparable to the effect of AADTT level) only if the major traffic is of specific class (very light or very heavy). If this is not the case, the vehicle class distribution will not be a significant factor that affects the final design because most of the trucks had similar impact on flexible pavement distresses. The impact of tire pressure is clear on longitudinal cracking, fatigue cracking and AC rutting, and have no significant impact on both base and subgrade rutting. Key Words: MEPDG, Traffic Analysis, Flexible Pavement, Tire Pressure, Vehicle Class Distribution I. INTRODUCTION The Pavement design and analysis procedures contained in the new Mechanistic-Empirical Pavement Design Guide (MEPDG) represent a significant advances from those empirical procedures used in the American Association of State Highway and Transportation Officials (AASHTO) 1993 Guide as stated by many researchers [1-13]. One major enhancement in the analysis procedure is related to traffic inputs. The MEPDG define the exact traffic loading by defining the specific number of each truck class and the use of axle load distribution factors (ALDF) , or axle load spectra (ALS), rather than the traditional equivalent single axle load (ESAL) input in current procedures . Through reviewing the MEPDG, the number of traffic inputs (parameters) was found to be 17024. Though many researchers investigated different traffic inputs in MEPDG and their impact on the predicted distress, limited work was conducted to evaluate and understand the effect of tire pressure and vehicle class in MEPDG on the predicted pavement distress. The main objective of this study is to evaluate the sensitivity of the predicted flexible pavement distress to vehicle class and tire pressure in MEPDG. This objective can be achieved through the steps: 1. Review the current state of knowledge regarding the effect of different traffic inputs in MEPDG on predicted flexible pavement distress. 2. Improve the understanding of the sensitivity of the predicted flexible pavement distress to vehicle class and tire pressure. II. Review of Traffic Inputs in MEPDG Several reports and papers [1-13] summarized the main traffic inputs in the MEPDG and the effect of those inputs on predicted distress in MEPDG, the main elements of traffic inputs are summarized in the following section along with summary for their impact on flexible pavement distress. Traffic Volume Basic Information Two-way annual average daily truck traffic (AADTT) is considered the key element in traffic parameters and was found to directly affect predicted distress [7, 14], where as the three parameters: number of lanes, percent truck in design lane and percent truck in design direction are expected to affect the number of load repetition on pavement section and thus affect the predicted distress. It was reported that operational speed has no impact on predicted distress [7]. Axle load Distribution Factors (ALDF) The axle load distribution factors represent the frequency of the total axle applications within each RESEARCH ARTICLE OPEN ACCESS
  • 2. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 46|P a g e load interval for the four basic types of axle configurations (single, tandem, tridem and quad), for each vehicle class. MEPDG has 10 vehicle classes starting from Class 4 through Class 13 [3,4 ].Through working with the MEPDG it was found that the total number of axle load factors = 16800 input {12 months*10 truck classes* [39 possible loads*2 axle types (single, tandem) + 31possible loads*2 axle types (tridem and quad)]}. The summation of the axle load factor for each truck type for each axle type for each month should add up to 100%. Typical axle load distribution factor used in MEPDG is presented in Figure 1. Because ALDF is thought of as a big step in mechanistic analysis, several researchers tried to evaluate the sensitivity of the MEPDG to the ALDF input parameters, however the results were contradictory. It was reported that MEPDG predicted performance is sensitive to site specific ALDF [1, 6, 8]. In another study, it was found that the MEPDG is moderately sensitive to axle load spectra (ALS) for typical Washington Department of Transportation (WSDOT) pavement design [3]. However this was not the case based on different ALDF collected in Ontario, where the pavement life of the pavement was almost unaffected by the ALDF [10]. El-Badawy et al. [13] reported that the state wide ALDF yielded higher longitudinal cracking compared to default MEPDG load spectra; however, no significant impact was found in the AC rutting, total rutting and international roughness index (IRI). This was based on data collected from 25 different sites in Idaho [13]. The difference in findings can be attributed to the fact that each researcher compared the typical MEPDG values with actually collected data on the state where the research was conducted, so the conclusions are confound within the used data set and was affected by how far the variation between the actual data set and the default MEPDG. Traffic Volume Adjustment Factors They included vehicle class distribution (VCD), monthly adjustment factors (MAF), hourly distribution factors (HDF), and traffic growth factors (TGF). The VCD include 10 classes of vehicles (numbered 4 through 13) as defined by Federal Highway Administration (FHWA) are used in MEPDG. Figure 2 presents the 10 classes along with the typical percentage of each class in the truck traffic stream. The predicted distress in MEPDG was sensitive to VCD based on clustering analysis for data from North Carolina [8], however the details regarding this impact was not reported. Swan et al. [10] evaluated changing Class 5 and Class 9 trucks by 15 and 30% and reported a variation of pavement life of less than 1 year based on IRI criterion (less than 127 in/mile). Li et al. [3] reported that VCD affect the predicted rutting and cracking, with no effects on IRI. It was also reported that VCD affected pavement life based on rutting criterion [6]. The Monthly adjustment factors (MAF) consist of 10 vehicle classes *12 months = 120 inputs. Research [8], conducted at North Carolina showed that MEPDG predicted distress is not sensitive to MAF. However, Li et al.[3] reported that MAF affected the predicted rutting and cracking, with no effects on IRI. The hourly distribution factors (HDF)as 24 inputs were found to have little impact on predicted flexible pavement distresses [8, 9], and was reported in another study[3] to have no effect on predicted distress .Traffic growth factors: (either 1 parameter for all vehicle classes or 10 parameters if growth rate is different for each vehicle class). This should affect the total number of load repetition over the pavement life and is expected to have great impact on predicted distress. General traffic inputs General traffic inputs like number of axles/trucks as 40 inputs (10 vehicle classes * 4 types of axle configurations), whereas axle configuration are 6 inputs (average axle width, dual tire spacing, tire pressure, and axle spacing (3 parameters for tandem, tridem and quad axles)).Wheel base are 6 inputs as average axle spacing (3 categories; (short, medium and long)), percentage of trucks for each axle space. Lateral traffic wanders which are 3 inputs. It was reported to have no significant effect on predicted distress in MEPDG [7]. It is reported that tire pressure plays an important role in the tire-pavement interaction process [15]. It was reported that inflation pressure used in truck tires has increased significantly over the years as it leads to decrease in truck operation cost [16-18]. Abdel- Motaleb [16] conducted a survey over two major highways in Egypt and reported that 59% of the evaluated trucks had tire inflation pressure greater than 120 and 2% had tire inflation pressure over 140 psi. Mateos and Snyder [15, 19] tested four sections at the Minnesota Road research facility (Mn/ROAD) with a moving load configured at various axle loadings and tire pressures and reported that changes in tire pressure did not significantly affect pavement response. Pidwerbesky [15, 20] subjected a thin surfaced granular pavement with a weak subgrade to varying wheel loads and tire pressures and reported that increasing tire pressure resulted in small decrease in the vertical strain at the top of the subgrade. Bonaquist et al. [21] examined two pavement sections of the same structure with the accelerated loading facility (ALF) with different tire pressures and reported an increase in rutting and cracking on the section trafficked with the higher tire pressure. However, the results were not clear for them because the sections were subjected to different
  • 3. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 47|P a g e environmental conditions. Other researchers [15, 22] reported increase in pavement stress caused by high tire pressures. However they found the effect of high tire pressure was insignificant to pavement performance. Two sections with varying tire pressures were tested and it was reported that high tire pressures caused higher tensile strain at the bottom of the AC layer but had no significant effect on vertical strain at the top of subgrade [15, 23]. Based on field sections, a significant effect of tire pressures on tensile strain at the bottom of the AC layer of the pavements was also reported [24-27]. Limited work was conducted to evaluate the sensitivity of the predicted distress in MEPDG to the tire pressure. Currently, in MEPDG Ver. 1.1 the default tire pressure is set to 120 psi. III. RESEARCH METHODOLOGY Previous studies were limited to small changes in specific truck types based on the state where the work was conducted. The idea of this study is to develop an understanding about the effect of VCD in a general manner not connected to a specific state. To evaluate the impact of vehicle (truck) class on pavement sections, different cases of loading were analyzed. The first case presents the typical vehicle class distribution. Then this case was compared to traffic streams that consisted of 100% of each truck type (i.e, one case with 100% Class 4, the second case consisted of 100% Class 5, and so on for all truck classes), so the total number of trucks over the pavement life is the same for all cases. The idea is to understand the impact of VCD on pavement performance isolated from any other factor. For each case, the MEPDG Ver. 1.1 was used to evaluate the effect of tire pressure by solving each case for a tire pressure of 120 and 140 psi. All the analysis was conducted on thin and thick hot mix asphalt (HMA) sections (2 inches vs. 6 inches thick HMA). Table 1 presents the input data for all the cases used in the MEPDG analysis. The effect of the traffic parameters on asphalt pavement (AC) rutting, base rutting, subgrade rutting, international roughness index (IRI), longitudinal cracking and fatigue (alligator) cracking were investigated. The variation of the predicted distress was defined using Equation 1. The resulted variability was also compared to the variability resulted from increasing ADTT. Percent distress variability (PDV) for the impact of AADTT was compared to what was found for the effect of VCD. AADTT for thin pavement was evaluated at two levels (1000 and 4000 vehicle/day) for the default VCD. For thick pavement ADTT was ranged from (7000 to 14000 vehicle/day) for default VCD. Percent Distress Variability (PDV) = π·π‘–π‘ π‘‘π‘Ÿπ‘’π‘ π‘  π‘œπ‘“ π‘Ÿπ‘’π‘“π‘’π‘Ÿπ‘’π‘›π‘π‘’ π‘π‘Žπ‘ π‘’ βˆ’π·π‘–π‘ π‘‘π‘Ÿπ‘’π‘ π‘  π‘œπ‘“ π‘Žπ‘›π‘Žπ‘™π‘¦π‘ π‘’π‘‘ π‘π‘Žπ‘ π‘’ π·π‘–π‘ π‘‘π‘Ÿπ‘’π‘  𝑠 π‘œπ‘“ π‘Ÿπ‘’π‘“π‘’π‘Ÿπ‘’π‘›π‘π‘’ π‘π‘Žπ‘ π‘’ *100 (1) Where: Distress of reference case: is the distress after 10 years, calculated based on default MEPDG vehicle class distribution presented in Figure 2. IV. RESULTS AND ANALYSIS Effect of Vehicle Class and Tire pressure on Longitudinal Cracking Figure (3-a,b ) presents the effect of truck type and tire pressure on longitudinal cracking. In general; Class 5 has the lowest impact on pavement cracking followed by Class 4 then Class 8. The impact of truck type was dependent on the thickness of HMA. For thin HMA sections, Class 13 showed the most critical impact on the longitudinal crack, followed by Class 7, followed by Class 10. Class 11 and 12 were exactly identical for their impact on pavement. For thick HMA sections, Class 7 and 13 had same effect on pavement; Class 12 had much more severe impact compared to Class 11. Using Class 13 instead of the typical MEPDG VCD caused increase in longitudinal cracking as PDV of (-277% and -134%) in cases of thin and thick HMA sections at 50% reliability. Negative PDV indicates that vehicle class had more severe impact on the distress compared to default MEPDG. When evaluating the distress at 90% reliability, using Class 13 instead of the typical MEPDG VCD caused increase in longitudinal cracking of 50 and 68% in cases of thin and thick HMA sections. Summary of the range of PDV for all distresses is presented in Table 2. On the other hand using lighter trucks like Class 5 resulted in PDV of 100 for both thin and thick HMA sections. The range of PDV for longitudinal crack reached (100-(-277) = 377 %) for thin HMA sections. The effect of VCD (presented by the PDV) much lower for the case of thick HMA sections compared to thin HMA sections. Increasing the reliability level from 50% to 90% reduced the effect of changing VCD, clear reduction of PDV was found. Figure 2 indicates that vehicle classes as used in MEPDG can be grouped into three categories. Category one is for trucks having only 2 axles per truck in average (Classes 4, 5, 6 and 7). Category two is for trucks containing 3 axles per truck in average (Classes 8, 9 and 10). Category three for large trucks containing 4 to 5 axles (from Figure 2 it can be seen that the total number of axles/truck =4.5 axles); and this group would contain Classes 11, 12 and 13).Figure 1 indicates that for both single and tandem axles, all classes are so close in the axle load except of Class 5 and Class 8 which posses' lighter loads. Class 13 has the heaviest tandem axle load. Class 7 has the heaviest tridem axle load followed by Class 13. This can help in understanding the reason for the
  • 4. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 48|P a g e different impacts on pavement structure. This can help in explaining the impact of Classes 13 and 7 compared to other lighter trucks. Table 2 shows that changing vehicle class can cause severe impact on longitudinal cracking compared to traffic level. When tire pressure increased from 120 to 140 psi, longitudinal cracking PDV varied from 34 to 67% in the case of thin HMA sections. The impact of tire pressure on longitudinal cracking was significantly lower in the case of thick HMA section as PDV varied from 0.50 to 32% for increasing tire pressure from 120 to 140 psi for different truck classes, as presented in Figure 3 and Table 2. The impact of increasing the tire pressure was dependent on the truck class, thickness of HMA, and reliability level. For thin HMA increasing tire pressure increased the longitudinal cracking, this was changed for thick HMA, as increasing tire pressure reduced the longitudinal cracking for most of the heavy truck types (Classes 7, 10 and 13) while it did not show impact on lighter trucks (Classes 4, 5, 8 and 11), as presented in Figure 3(a, b, c and d). Increasing the reliability level from 50% to 90% reduced the effect of changing tire pressure. Summary of PDV due to change in tire pressure for all distresses is presented in Table 3. Effect of Vehicle Class and Tire pressure on Alligator Cracking Figure 4 presents the effect of truck type and tire pressure on alligator (fatigue) cracking. Class 5 had the lowest impact on pavement followed by Class 4 then Class 8. The impact of truck type was dependent on the thickness of HMA. For thin HMA sections, Class 13 showed the most critical impact on the alligator cracking, followed by Class 7, then Class 10. Class 11 and 12 had the same impact on thin pavement. However, for thick HMA sections, Class 11 had more severe impact compared to Class 10 and 12, as presented in Figure 4 (a, b). The percent distress variability (PDV) was used to understand the impact of vehicle class on fatigue cracking. Table 2 and Figure 4 show that PDV would vary from (-343 %to 95%) when different vehicles are used in the case of thin HMA sections at 50% reliability. This effect is significantly reduced to (-28 to 89%) when the analysis was conducted at 90% reliability. For thick HMA sections the effect of VCD was less than what was found for thin HMA sections. Table 2 and Figure 4 show that PDV would vary from (-123 %to 78%) when different vehicles are used in the case of thin HMA sections at 50% reliability. This effect is significantly reduced to (-37 to 74%) when the analysis was conducted at 90% reliability. Table 2 also shows that changing vehicle class can induce more severe impact on fatigue cracking compared to traffic level for thick HMA sections. The impact of tire pressure on fatigue cracking was then evaluated. Alligator cracking PDV varied from 43 to 48% when tire pressure increased from 120 to 140 psi, in the case of thin HMA sections. The impact of tire pressure on alligator cracking was significantly lower in the case of thick HMA section as it varied by 6.5% to 8% for increasing tire pressure from 120 to 140 psi for different truck Classes. The MEPDG alligator cracking model calculates the number of load repetition to failure; then the model calculates the damage as a percentage after a specific number of load repetition, then uses a transfer function to transfer the damage into percentage cracked area [28]. In MEPDG, the number of load repetitions to failure is function of the tensile strain to the power of (-3.9), meaning that 10% variation in the tensile strain at the bottom of the AC layer results in changing the number of load repetition to failure by 50% [29]. This can explain the sensitivity of thin HMA to variation in tire pressure and vehicle class compared to thick HMA sections. With increasing the tire pressure or using heavier axle loads, the tensile strain at bottom of HMA increased which reduced significantly the number of load repetition to failure. Effect of Vehicle Class and Tire Pressure on Rutting and IRI Figure 5 presents the effect of tire pressure and vehicle Class on AC rutting, total rutting and IRI. Class 5 had the lowest impact on pavement followed by Class 4 then Class 8. Class 13 showed the most critical impact on the AC rutting, with 40% increase in AC rutting compared to default MEPDG. Classes 7, 9, 10, 11 and 12 were very close to each other for their impact on AC rutting in both thin and thick pavement (with less than 8% variation between them). Table 2 indicates that the VCD had limited effect on subgrade rutting in both cases of thick and thin HMA section (the PDV varied from -20 to 40%). The VCD had limited effect on base rutting in both cases of thick and thin HMA section (the PDV varied from -15 to 20%). For the total rutting PDV varied from -24 to 36%. For total rutting the PDV was the same for both cases of 50% and 90% reliability. Table 2 shows that changing vehicle class resulted in PDV (of total rutting) comparable to that resulted from increasing AADTT. Table 3 indicates that the tire pressure has no effect on subgrade and base rutting in both cases of thick and thin HMA section. The impact of tire pressure is clear for AC rutting in both cases of thin and thick HMA sections. Increasing tire pressure
  • 5. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 49|P a g e from 120 to 140 psi caused a change in AC rutting by 10% in case of thin HMA and 18% in case of thick HMA. This agrees with experimental work published by Akram et al. [23] where tire pressure affected the strain at bottom of HMA and have no impact on strain on top of subgrade. For the overall section rutting, increasing tire pressure from 120 psi to 140 psi caused a maximum increase of 3.5% and 8.8% of total rutting in the case of thin and thick HMA sections respectively. Table 2 presents the effect of vehicle class on IRI. Results indicate that the impact is relatively small (PDV varied from -12 to 15%) for both thin and thick HMA. This small impact is almost the same as what has resulted from increasing the AADTT. Tire pressure had no impact on IRI, as presented in Table 3. V. SUMMARY AND CONCLUSION This paper investigated the effect of vehicle class distribution (VCD) and tire pressure on predicted pavement distress in flexible pavement in MEPDG. The paper evaluated extreme cases of VCD where the stream consisted of 100% of each vehicle Class compared to typical MEPDG VCD. This gave better understanding of the impact of vehicle Class on pavement performance isolated from any other factor. The tire pressure was varied in the analysis from 120 to 140 psi for cases of thin and thick HMA sections. It can be concluded that: 1. Class 5 had the lowest impact on pavement distress followed by Class 4 then Class 8. Class 13 showed the most critical impact on pavement distresses followed by Class 7. Class 9 gave almost same pavement distress as the typical MEPDG VCD. 2. The impact of some truck type was dependent in many cases on the thickness of HMA and type of distress under consideration. Class 11 and 12 had the same impact on fatigue cracking of thin pavement while for thick HMA sections, Class 11 had more severe impact compared to Class 12. This was the opposite for what was found for longitudinal cracking. Vehicle class would have a significant impact on AC rutting, alligator cracking, fatigue cracking, and would have minimal impact on subgrade rutting, base rutting. 3. The impact of vehicle class is critical and comparable to the effect of level of traffic (AADTT level). The VCD would cause clear impact only if the major traffic is of specific class (very light or very heavy). If this is not the case, the vehicle class distribution will not be a significant factor that affects the final design because most of trucks had similar impact on flexible pavement distresses. 4. The impact of tire pressure is mainly clear on fatigue cracking and AC rutting in both cases of thin and thick HMA sections, and have no significant impact on both base and subgrade rutting. Increasing tire pressure caused an increase in longitudinal cracking in case of thin HMA sections and caused reduction in the case of thick HMA sections. Once the reliability level is increased to 90%, increasing tire pressure did not show impact on any pavement distress except for longitudinal cracking. REFERENCES [1.] Tran, N. H., and Hall, K. D., (2007). Development and Influence of Statewide Axle Load Spectra on Flexible Pavement Performance. Transportation Research Record: Journal of the Transportation Research Board, No. 2037. Transportation Research Board, Washington, D.C., pp. 106-114. [2.] Tran, N. H. and Hall, K. (2007). Development and significance of statewide volume adjustment factors in Mechanistic Pavement Design Guide. Transportation Research Record: Journal of the Transportation Research Board, No. 2037. Transportation Research Board, Washington, D.C., pp. 97-105. [3.] Li, J., Pierce, L. M., Hallenbeck, M. E. and Uhlmeyer, J. (2009). Sensitivity of Axle Load Spectra in Mechanistic-Empirical Pavement Design Guide for Washington State Department of Transportation. Transportation Research Board annual meeting, Paper No. 09-2172 on CD-ROM. [4.] Von Quintus, H. L., Tam, W. O. and Gharaibeh, N. (2000). Guide for Mechanistic-Empirical Design Of New and Rehabilitated Pavement Structures, Appendix AA: Traffic Loadings. [5.] Schwartz, C. W., and Carvalh, R. L. (2007). Implementation of the NCHRP 1-37A Design Guide. Final Report Volume 2: Evaluation of Mechanistic-Empirical Design Procedure. Project No. SP0077B41, Maryland State Highway Administration (MDSHA). [6.] Smith, B. C., and Diefenderfer, B. K. (2010). Analysis of Virginia-Specific Traffic Data Inputs for Use with the Mechanistic-Empirical Pavement Design Guide. Report No. VTRC 10- R19. [7.] Kesiraju, S. and Hussain, B. (2007). Development of a Regional Pavement Performance Database for the AASHTO Mechanistic-Empirical Pavement Design Guide: Part 1: Sensitivity Analysis. Midwest
  • 6. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 50|P a g e Regional University Transportation Center, Wisconsin Department of Transportation. [8.] Sayyady, F., Stone, J. R., Taylor, K. L., Jadoun, F. M. and Kim, Y. R. (2010). Using Clustering Analysis to Characterize MEPDG Traffic Data in North Carolina. Transportation Research Record, No. 2160, pp. 118–127 [9.] Oman, M. S. (2010). MnROAD Traffic Characterization for the Mechanistic-Empirical Pavement Design Guide Using Weigh-in- Motion Data. Transportation Research Board annual meeting, Paper No. 10-2903 on CD- ROM. [10.] Swan, D. J., Tardif, R., Hajek, J. J., and Hein, D. K. (2008). Development of Regional Traffic Data for the Mechanistic-Empirical Pavement Design Guide. Transportation Research Record, Vol. No. 2049, pp. 54–62. [11.] Jiang, Y., Li, S., Nantung, T. and Chen, H. (2008). Analysis and Determination of Axle Load Spectra and Traffic Input for the Mechanistic-Empirical Pavement Design Guide. Report No. FHWA/IN/JTRP-2008/7, Indiana Department of Transportation. [12.] Schwartz, C. W., Li, R., Kim, S. H., Ceylan, H. and Gopalakrishnan, K. (2011). Sensitivity Evaluation of MEPDG Performance Prediction. Project 1-47, National Cooperative Highway Research Program, December 2011. [13.] El-Badawy, S. M., Bayomy, F. M. and Fugit, S. (2012). Traffic Characteristics and Their Impact on Pavement Performance for the Implementation of the Mechanistic Empirical Pavement Design Guide in Idaho. International J. of Pavement Research and Technology, Vol. 5, No. 6. [14.] Cooper, S., Elseifi, M., Mohamed, L. (2012). Parametric Evaluation of Design Input Parameters on Mechanistic-Empirical Pavement Design Guide Predicted Performance. J. Pavement Research and Technology. Vol. 5, No. 4, pp. 218-224. [15.] Machemehl, Randy, Wang, Feng, Prozzi, Jorge. (2005). Analytical Study of Effects of Truck Tire Pressure on Pavements with Measured Tire-Pavement Contact Stress Data. Transportation Research Record: Journal of the Transportation Research Board, Vol. no.1919, pp. 111-120. [16.] Abdel-Motaleb, M. E. (2007). Impact of High- Pressure Truck Tires on Pavement Design in Egypt. Emirates Journal for Engineering Research, Vol. 12, No. 2, pp. 65-73. [17.] El-Hamrawy, S. (2000). Effect of Wheel Load, Tire Pressure and Subgrade Stiffness on Flexible Pavements Responses”, Al-Azhar Engineering 6th International Conference, pp. 489-502. [18.] Southgate, H.F. and Deen, R.C. (1987). Effects of Load Distributions and Axle Tire Configurations on Pavement Fatigue, Proc., 6th Int. Conf. on Struct. Design of Asphalt Pavements, Michigan, pp. 82-93. [19.] Mateos, A., and Snyder, M. B. (2002). Validation of Flexible Pavement Structural Response Models with Data from the Minnesota Road Research Project. Transportation Research Record No. 1806, Transportation Research Board, Washington DC, pp.19-29. [20.] Pidwerbesky, B.D. (1995). Strain Response and Performance of Subgrades and Flexible Pavements under Various Loading Conditions. Transportation Research Record No.1482, Transportation Research Board, Washington DC, pp 87-93. [21.] Bonaquist, R., Surdahl, R., and Mogawer, W. (1989). Effect of Tire Pressure on Flexible Pavement Response and Performance. Transportation Research Record No. 1227, Transportation Research Board, Washington DC, pp 97-106. [22.] Sebaaly, P.E., and Tabatabaee, N. (1992). Effect of Tire Parameters on Pavement Damage and Load-Equivalency Factors. ASCE Journal of Transportation Engineering, Vol. 118, No. 6, pp 805-819. [23.] Akram, T., Scullion, T., and Smith, R. E. (1993). Using the Multidepth Deflectometer to Study Tire Pressure, Tire Type, and Load Effects on Pavements. Research Report 1184-2, Volume 2, Texas Transportation Institute, Texas A&M University, College Station, Texas. [24.] Chatti, K., Kim, H. B., Yun, K. K., Mahoney, J.P. and Monismith, C. L. (1996). Field Investigation into Effects of Vehicle Speed and Tire Pressure on Asphalt Concrete Pavement Strains. Transportation Research Record No. 1539, Transportation Research Board, Washington DC, pp 66-71. [25.] Mahoney, J.P., Winters, B.C., Chatti, K., Moran, T.J., Monismith, C.L., and Kramer, S.L. (1995). Vehicle/Pavement Interaction at the PACCAR Test Site. Final Report No. WARD 384.1, Washington State Department of Transportation, Olympia, Washington. [26.] Huhtala, M., Pihlajamaki, J., and Pienimaki, M. (1989). Effects of Tires and Tire Pressures on Road Pavements. Transportation Research Record No. 1227, Transportation Research Board, Washington DC, pp 107-114. [27.] Huhtala, M., Alkio, R., Pihljamaki, J., Pienmaki, M. and Halonan, P. (1990). Behavior of Bituminous Materials under Moving Wheel Loads. Journal of the Association of Asphalt Paving Technologists, Vol. 59, pp 422-442.
  • 7. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 51|P a g e [28.] Huang, Y. (1993). Pavement Analysis and Design, Prentice-Hall, Inc. [29.] Attia, M., and Abdelrahman, M. (2010). Variability of RAP Resilient Modulus as a Base Layer and Its Impact on Flexible Pavement Performance. Journal of Transportation Research Record, Vol. 2167, pp 18-29. [30.] Witczak, M. W., El-Basyouny, M. M., and El- Badawy, S. (2000). Guide for Mechanistic- Empirical Design Of New and Rehabilitated Pavement Structures, Appendix GG-2: Sensitivity Analysis for Permanent Deformation for Flexible Pavements. http://www.trb.org/mepdg/2appendices_GG.pdf . Accessed July 2010. TABLE 1 Variables Used in MEPDG Analysis Variables used in MEPDG Parameter Variables Source of Data Traffic Traffic volume AADTT (vehicle/day) 1000 (medium traffic)a 7000 (high traffic)b [30] Vehicle Class Distribution Use 100% of each class except for the reference case include the typical value for VCD as presented in Figure 2. Tire pressure 120, 140 psi [17] HMA Thickness c 2 in 6 in The 2 in was analyzed only for the medium traffic MEPDG data input for all analyzed cases Traffic Other Traffic Parameters Default MEPDG level 3 Climate Location Minneapolis, St. Paul airport GWT height 2 ft [30] HMA Air voids 7% Medium mix [28-30] Effective Binder content 11% Total unit weight (Pcf) 150 % Retained ¾” 11 % Retained 3/8” 35 % Retained # 4 52 % Passing # 200 7 PG Grade 58-28 Other HMA parameters Default MEPDG level 3 Base MR 29500 Typical A-1-a base layer modulus value in MEPDG Thickness 12 in Selected typical value Subgrade MR 15000 psi Medium subgrade support [30]PI 16 a Medium traffic will be used with thin HMA section (i.e. HMA = 2 in) b high traffic will be used with thick HMA section (i.e. HMA =6 in) c Arbitrary selected thicknesses to present thin and thick AC layer AADTT: average annual daily truck traffic, HMA: hot mix asphalt layer GWT: ground water table height from pavement surface *: Reference case for each truck distribution is the typical vehicle Class distribution, presented in Figure 2 Extra 2 cases were analyzed to evaluate the effect of ADTT on performance ο‚· Thin HMA with ADTT of 4000, with typical VCD ο‚· Thick HMA with ADTT of 14000, with typical VCD (Heavy traffic as defined in [14]
  • 8. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 52|P a g e Table 2: Range of PDV (%) due to variation of vehicle class Distress type Thin HMA (HMA = 2in, AADTT = 1000) Thin HMA Thick HMA (HMA = 6in, AADTT = 7000) Thick HMA Average 90% reliability Impact of increasing AADTT to 4000 at 90% reliability Average 90% reliability Impact of increasing AADTT to 14000 at 90% reliability Longitudinal crack -277 to 93 -50 to 60 -83 -135 to 99 -68 to 82 -45 Fatigue Crack -343 to 95 -28 to 89 -76 -123 to 78 -37 to 74 -29 Subgrade rutting -20 to 40 NA NA -20 to 45 NA NA Base rutting -15 to 20 NA NA -14 to 16 NA NA HMA Rutting -40 to 50 NA NA -40 to 51 NA NA Total Rutting -24 to 36 -22 to 34 -38 -28 to 43 -27 to 42 -22 IRI -13 to 14 -12 to 14 -20 -13 to 15 -12 to 15.5 -9.4 Notes: PDV: Percent Distress Variability, based on Equation 1 Maximum PDV variation presents the highest or lowest PDV as compared to default MEPDG Average: mean that distress is calculated assuming 50% reliability NA: no output is available in MEPDG Ver. 1.1 +ve PDV indicates that the vehicle class has lower impact on the distress compared to default MEPDG -ve PDV indicates that vehicle class has higher impact on the distress compared to default MEPDG Table 3: Range of PDV (%) due to variation of tire pressure Distress type Thin HMA ((HMA = 2in) Thick HMA ((HMA = 6in) Average 90% reliability Average 90% reliability Longitudinal crack 34 to 67 9 to 18 0.4 to 32 0.2 to 22 Fatigue Crack 43 to 48 2.3 to 75 6 to 8 1.6 to 22 Subgrade rutting <0.1 NA <0.1% NA Base rutting 1.7 to 1.9 NA 0.3 to 0.5 NA HMA Rutting 10 to 10.2 NA 18.2 to 18.7 NA Total Rutting 2.5 to 3.5 2.4 to 3.7 6.6 to 9 6.6 to 9 IRI 0.7 to 3 0.8 to 2.8 1.3 to 3.3 1.3 to 3 PDV: Percent Distress Variability, based on Equation 1
  • 9. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 53|P a g e FIGURE 1 Default axle load distribution in MEPDG. 0 20 40 60 80 100 0 5000 10000 15000 20000 25000 Cummulative Frequency,% Axle Load, Lb SingleAxle 0 20 40 60 80 100 120 0 20000 40000 60000 80000 100000 CummulativeFrequency,% Axle Load, Lb Tridem Axle 4 5 6 7 8 9 10 11 12 13 0 20 40 60 80 100 120 0 10000 20000 30000 40000 50000 Cummulative Frequency,% Axle Load, Lb Tandem Axle
  • 10. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 54|P a g e FIGURE 2 Truck Classes, typical vehicle Class distribution and number of axles per truck in MEPDG. Truck Class Pecentage Truck Configuration
  • 11. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 55|P a g e FIGURE 1 Effect of tire pressure and vehicle Class on longitudinal cracking -300 -250 -200 -150 -100 -50 0 50 100 150 4 5 6 7 8 9 10 11 12 13 LongitudinalcrackingPDV,% Vehicle Class c-HMA = 2in, AADTT = 1000 -200 -150 -100 -50 0 50 100 150 4 5 6 7 8 9 10 11 12 13 LongitudinalcrackingPDV,% Vehicle Class e-HMA = 6 in, AADTT = 7000 120 psi 140 psi -60 -40 -20 0 20 40 60 80 4 5 6 7 8 9 10 11 12 13 LongitudinalcrackingPDV,% Vehicle Class d-HMA= 2in, AADTT = 1000 (at 90% reliability) -80 -60 -40 -20 0 20 40 60 80 100 4 5 6 7 8 9 10 11 12 13 LongitudinalcrackingPDV,% Vehicle Class f-HMA = 6 in, AADTT = 7000 (at 90% reliability) 120 psi 140 psi 0 20 40 60 80 100 120 Longitudinalcracking,ft/mile Vehicle Class a-HMA = 2in, AADTT = 1000 120 psi 140 psi 0 1000 2000 3000 4000 5000 6000 7000 8000 Default 4 5 6 7 8 9 10 11 12 13 Longitudinalcracking,ft/mile Vehicle Class b-HMA = 6 in, AADTT = 7000 120 psi 140 psi
  • 12. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 56|P a g e FIGURE 4 Effect of tire pressure and vehicle Class on alligator cracking. 0 2 4 6 8 10 12 Default 4 5 6 7 8 9 10 11 12 13 Fatigue,% Vehicle Class a-HMA = 2in, AADTT = 1000 120 psi 140 psi 0 4 8 12 16 20 Fatigue,% Vehicle Class b-HMA = 6 in, AADTT = 7000 120 psi 140 psi -400 -300 -200 -100 0 100 200 4 5 6 7 8 9 10 11 12 13 FatiguePDV,% Vehicle Class c-HMA = 2in, AADTT = 1000 -150 -100 -50 0 50 100 4 5 6 7 8 9 10 11 12 13 FatiguePDV,% Vehicle Class e-HMA = 6 in, AADTT = 7000 120 psi 140 psi -60 -30 0 30 60 90 120 4 5 6 7 8 9 10 11 12 13 FatiguePDVat90%reliability,% Vehicle Class d-HMA = 2in, AADTT = 1000 (at 90% reliability) -60 -30 0 30 60 90 4 5 6 7 8 9 10 11 12 13 FatiguePDVat90%reliability,% Vehicle Class f-HMA = 6 in, AADTT = 7000 (at 90% reliability) 120 psi 140 psi
  • 13. Mohamed* I. E. Atti Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 3), October 2014, pp.45-57 www.ijera.com 57|P a g e Figure 5 Effect of Tire pressure and Vehicle Class on Rutting and IRI 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 Default 4 5 6 7 8 9 10 11 12 13 ACrutting,in Vehicle Class a-HMA = 2in, AADTT = 1000 120 psi 140 psi Tire presure 0 0.1 0.2 0.3 0.4 0.5 0.6 Default 4 5 6 7 8 9 10 11 12 13 ACrutting,in Vehicle Class b-HMA = 6 in, AADTT = 7000 120 psi 140 psiTire presure -30 -20 -10 0 10 20 30 40 4 5 6 7 8 9 10 11 12 13 TotalRuttingPDV,% Vehicle Class c-HMA = 2in, AADTT = 1000, at 90 % reliability -40 -30 -20 -10 0 10 20 30 40 50 4 5 6 7 8 9 10 11 12 13 TotalRuttingPDV,% Vehicle Class d-HMA = 6 in, AADTT = 7000, at 90% reliability -15 -10 -5 0 5 10 15 20 IRIPDV,% Vehicle Class e-HMA = 2in, AADTT = 1000, at 90% reliability 120 psi 140 psi -15 -10 -5 0 5 10 15 20 4 5 6 7 8 9 10 11 12 13 IRIPDV,% Vehicle Class f-HMA = 6 in, AADTT = 7000, at 90% reliability 120 psi 140 psi