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Comparison of Overlay Design Analysis Using
Mechanistic and Semi-Analytical Methods
Case Study: Pamanukan-Sewo Section.
Bambang S SUBAGIO Faisal Gerardo
Professor Assistant
Civil Engineering Dept. Civil Engineering Dept.
ITB Bandung-Indonesia ITB Bandung-Indonesia
Fax:+62-22-2502350 Fax:+62-22-2502350
E-mail : bsugengs@si.itb.ac.id E-mail:office@trans.si.itb.ac.id
Abstract: The purpose of this research is to compare 2 (two) methods. Mechanistics
and Semi-analytical in analyzes the flexible pavement structures of one section of the
National Road (PANTURA) Indonesian. PANTURA is a National Arteri road, located in
North corridor of Java Island and has very strategic role in the transportation mobility
from west Java to East Java and to calculate the overlay thickness required, based on
the deflection data using Falling Weight Deflectometer (FWD) equipment.
From the deflection data, Resilient Moduli in each layer can be determined by using the
Mechanistics method the Everseries Computer Program. These results were then
compared to the calculation results using the semi-analytical method AASHTO 1993.
The result of Resilient Moduli in each layer shows that those values could identify the
weakness layer in the pavement structure, indicated by the lower value of Moduli. The
calculation using analytical method showed that the overlay needed was slightly higher
than that calculated by semi-analytical method. This means that the analytical method
could analyze the “total”deterioration of generated in the pavement structure.
Keywords: Mechanistics, Overlay, Everseries method, AASHTO-93 method
1. INTRODUCTION
The purpose of a pavement structure is to carry traffic safely, conveniently and
economically over its extended life. The pavement must provide smooth riding quality
with adequate skid resistance and have adequate thickness to ensure that traffic loads
are distributed over an area so that the critical stresses and strains at all pavement
layers and at the top of subgrade are within the capabilities of the materials. The
performance of the pavement therefore related to its ability to serve traffic over a
period of time, namely “design life”.
From the day it is opened to traffic, a pavement will suffer progressive structural
deterioration. It is possible that the pavement may not fulfill its intended function of
carrying a projected amount of traffic during its design life, because the degree of
deterioration is such that the reconstruction or major structural repair is necessitated
before the end of design life. The purpose of this research is to compare the 2 (two)
methods mechanistic and semi analytical in analyzed the existing pavement structure of
the National Road (PANTURA), and to calculate the overlays thickness required, based
on the deflection-bowl data using Falling Weight Deflectometer (FWD) equipment.
Considering the Cumulative Damage theory and the allowable stress/strain in each
layer, the overlay thickness needed were obtained.
2. THE EVERSERIES PROGRAM
The EVERSERIES is a series of computer program which consists of 3 (three)
“subprograms”, namely: EVERCALC, EVERSTRESS, and EVERPAVE. This program could
analyze the flexible pavement structures based on mechanistic approach
(WSDOT,2005). The Evercalc program can calculate the “elastic” moduli of pavement
layer, determine the coefficient of stress sensitivity of unstabilized materials, stresses
and strains at various depths, and optionally normalizes Asphalt mix modulus to a
standard laboratory condition. The Everstress program is capable of determining the
stress, strains and deflections in a multi-layered elastic system under circular surface
loads.
EVERSERIES
EVERCALC EVERSTRESS EVERPAVE
This program will also take into account any stress dependent stiffness modulus and the
Everpave program is a flexible pavement overlay design based on the multilayered
elastic system. The determination of the overlay thickness is based on the required
thickness to bring the damage levels to an acceptable level under a design traffic
condition. The damage levels are calculated on two primary distress type, fatigue
cracking and rutting. This program is capable of considering seasonal variations and
stress sensitivity of the pavement materials.
FWD Deflection Data Pavement Layer Data
Backalculation
Program EVERCALC
Pavement Layer Moduli
Pavement Data :
Poisson’s Ratio & Overlay
Moduli, initial overlay thickness &
increment
Existing Layer moduli & Poisson ratio
General Data :
Type Pressre & Spasing
Shift Factors
Seasonal Temperature & Adjusments
Traffic Data :
Design Period or ESAL per year
or Average Daily Traffic
Overlay Design
EVERPAVE
Overlay Thickness
Figure.1 Principles in EVERSERIES Program
And the Everpave program is a flexible pavement overlay design based on the
multilayered elastic system. The determination of the overlay thickness is based on the
required thickness to bring the damage levels to an acceptable level under a design
traffic condition. The damage levels are calculated on two primary distress type, fatigue
cracking and rutting. This program is capable of considering seasonal variations and
stress sensitivity of the pavement materials.
EVERSERIES User’s Guide, 2005
Figure 2. Prinsiples of Backaclculation in Evercalc Program
A mechanistic overlay design procedure in this program was developed by the
Washington State Department of Transportation (WSDOT) that is based on the back-
calculation of material properties and fatigue and rutting failures. Backcalculation
method is defined where measured and calculated surface deflection basins are
matched (to within some tolerable error) and the associated layer moduli required to
achieve that match are determined. In this approach, layer moduli can be calculated for
each deflection test point according to the flowchart in the Figure 1.
The primary measure of the convergence between measured and calculated surface
deflection will be Root Mean Square (RMS), defined as :
RMS (%) = 100√∑ (
𝑑𝑚−𝑑𝑐
𝑑𝑚
)
2
𝑁
𝑖=1
𝑁𝑑
....................................................................................................................( I )
Where :
RMS = root mean square
Dci = calculated pavement surface deflection at sensor i
Dmi = meaured pavement surface deflection at sensor i, and
Nd = number of deflection sensors used in the backcalculation process
The Evercalc program uses WESLEA as the layered elastic solution to computer the
theoretical deflections and a modified Augmented Gauss-Newton algorithm for
optimization. An inverse solution technique is used to determine elastic moduli from
FWD pavement surface deflection measurements. The deflections calculated using
WESLEA is compared with the measured ones at each iteration. When the discrepancies
in the calculated and measured deflections falls within the allowable tolerances, or the
number of iterations has reached a limit, the program terminates.
The determination of the overlay thickness is based on the required thickness to bring
the damage levels to an acceptable level under a design traffic condition. The damage
levels are based on two primary distress types, fatigue cracking and rutting, which are
the most common criteria for mechanistic analysis based overlay design. The program
is also capable of considering seasonal variation and stress sensitivity of the pavement
materials.
For fatigue cracking failure, Finn’s model (Finn, F.N, 1977) is commonly used. The
model used linearly shifts Monismith’s laboratory model (Monismith, 1969) which is
shown below:
log Nf = 14.82 - 3.291 log (€t) - 0.854 log (Eac )..........................................................................................................(II)
where,
Nf = number of axle load applications to failure
€t = horizontal tensile strain at the bottom of the HMA layer (in/in x 10-6)
Eac = the stiffness modulus of the HMA layer (ksi)
Rutting occurs due to permanent deformation of the asphalt concrete layer and
unbound layers. However, as the deformation of asphalt concrete is not well defined,
the failure criteria equations are expressed as a function of the vertical compressive
strain at the top of the subgrade. The rutting criterion was adopted from the Asphalt
Institute (TAI, 1981) It is shown below:
log Nf = 1.077 x 1018 (€vs) - 4.4843 .....................................................................................................(III)
where,
Nf = allowable number of 80 kN ( 18,000 lb ) equivalent single axles (ESAL) so that
rutting at the pavement surface should not exceed 0.5 inch, and
€v = vertical compressive strain at the top of the subgrade layer
The properties of the pavement system are significantly affected by climatic conditions.
Consequently, seasonal adjustments for pavement materials are essential for design
purposes. The adjustment for asphalt concrete is achieved by the use of a stiffness
temperature relationship and that for the unbound materials by applying the seasonal
variations of the materials (in terms of Moduli Ratio’s).
As the climate condition changes with location and time and its effects vary with
pavement materials, engineering judgment is always needed. As the stiffness of asphalt
concrete is significantly affected by temperature, it is important to determine pavement
temperature as accurately as possible. The pavement temperature is commonly
determined by the relationship between air temperature and pavement temperature.
For the pavement design purpose, the Mean Monthly Air Temperature (MMAT) are
converted to Mean Monthly Pavement Temperatures (MMPT) (Shook, et al., 1982) as
follows:
MMPT = MMAT {1 + 1/(Z + 4)} – 34/(Z + 4) + 6(12) ..............................................................(IV)
where,
MMPT = mean monthly pavement temperature (°F),
MMAT = mean monthly air temperature (°F), and
z = depth below pavement surface (inches)
RESEARCH METHODOLOGY
The working plan of this study can be seen in Figure 1 and Figure 3, which is divided
into structural analysis programs: AASHTO 1993 and Everseries program method.
Figure 2. Location of Bts.Pamanukan to Sewo Section
The Methodology of Structural analysis consists of :
- The collection of some principal data in the Pamanukan - Sewo section, which
consists of traffic data (AADT), the axle-loading data resulted from WIM survey
in 2013, the FWD’s deflection data, the pavement thickness data and the
pavement temperature data.
- The average Traffic Growth was calculated based on the “time series” AADT data.
- The Truck Factor for each vehicle type was calculated using the axle-loading
data.
- The cumulative ESAL actual and the “future” cumulative ESAL will be
determinedconsidering the AADT data, the average growth factor and the Truck
Factor for each
- vehicle.
- Hence, the AASHTO-93 method can be applied to obtain the SNf and SNeff (future
and effective values, respectively), and the overlay thickness for several survey
point.
Source: AASHTO 1993
Figure. 3 Flow Chart of Structural Analysis Using the AASHTO 1993 Method
3. Case Study : PANTURA Section Pamanukan Sewo
3.1 Traffic Data
PANTURA is a National Arteri road, located in North corridor of Java Island. It can be
said that the heavy vehicles in PANTURA National Road prefer to use fast lane rather
than slow lane. However, this phenomenon is contradictive with the regular lane
distribution in the arterial road in Indonesia. The actual traffic data was classified into
ten vehicle categories, based on Bina Marga’s Classification, i.e. vehicle category 2 until
vehicle category 7C. For example, the distribution of traffic data for Sewo-Pamanukan
direction is shown in Table 2
Table.1. Traffic From Pamanukan to Sewo
No Year
AADT (Vehicle/Day)
Total
Vehicles
Light Vehicles Heavy Vehicles
2 3 4 5A 5B 6A 6B 7A 7B 7C
1 2009 6067 7491 4413 741 65 2894 3651 1217 142 478 27159
2 2010 6371 7866 4634 779 69 3039 3834 1278 150 502 28522
3 2011 6674 8241 4855 816 72 3184 4017 1339 157 526 29881
4 2012 7281 8990 5296 890 79 3473 4382 1461 171 574 32597
5 2013 7866 9712 5722 961 85 3752 4734 1578 185 620 35215
Source : IRMS’s database, 2013
3.2 Design and Actual Truck Factor
.
The “Design” Truck Factor, defined as the total equivalent damage for each vehicle was
calculated using the maximum allowable limit of axle load configuration in the vehicle
classification data. This data will then be compared to the “actual” Truck Factor, based
on the WIM (Weight-in-Motion) survey. The vehicle axle load data was obtained from
WIM (Weight-in-Motion), It is similar to a gross weight survey for moving vehicle, and
the weight proportion for each vehicle tires was determined by analyzing the dynamic
pressure of each tires. The vehicle axle load data used in this research are resulted from
WIM Survey at Cirebon-Losari section in 2013. The comparison of Design and Actual
Truck Factor was shown in Table 1 and Figure 2.
Table.2. Comparison of Design and Actual Truck Factor
Vehicle Class
6B 7A 7B 7C
TF Design (Bina Marga) 3,7796 4,4525 8,2906 6,1309
TF Actual (WIM) 5,6510 5,7780 10,2770 12,3120
Source : IRMS, 2013
The cumulative ESAL value can be determined by multiplying the AADT value for
oneyear with the lane distribution factor and the average Truck Factor (TF) for each
vehicle. The prediction of cumulative ESAL from 2013 to 2018 is calculated using the
AASHTO 1993 and EVERSERIES program equation. This value is important in order to
obtain the remaining life (RL) and the overlay thickness of that section. The actual
Cumulative ESAL predicted from 2013 to 2018 is shown in Table 2.
Table.3. The Cumulative ESAL predicted from 2013 to 2018
Year
Pamanukan
Sewo
(cumulative)
2013 6.404.098
2014 13.239.065
2015 20.533.845
2016 28.319.436
2017 36.628.753
2018 45.469.099
3.3 Deflection Analysis and Resilient Moduli
The deflection data were obtained from survey in 2013 using the Falling Weight
Deflectometer (FWD) equipment. The instrument is supported with 25 inch dish load,
200 kg ballast load and 26 inch high falls. Each deflectometer is placed among 0, 200,
300, 450, 600, 900, 1200, 1500 and 1800 mm for pavement with total thickness more
than 700 mm. These FWD’s deflection data will be used in structural analysis and
combined with the AADT data, axle load (WIM) data and pavement thickness. For
example, the d1(maximum deflection) of FWD deflection data for Pamanukan direction
in fast lane is shown in Figure 3.
Figure 3. FWD Deflection data of Bts.Pamanukan to Sewo Section
The EVERSERIES program used 3 (three) or more deflections to calculate the resilient
modulus of each layer. Depending on the system considered i.e. 2 (two) layer, 3 (three)
layer, 4 (four) layer, or more.
0.000
50.000
100.000
150.000
200.000
250.000
300.000
350.000
400.000
450.000
141.000
141.299
142.193
142.342
142.500
142.705
142.906
143.107
143.347
143.509
143.715
143.915
144.174
144.330
144.519
144.621
146.700
147.512
147.700
147.900
148.101
148.306
148.512
148.700
149.000
149.135
149.900
150.100
150.367
150.547
150.721
150.900
151.097
151.310
151.509
Deflection(x0,001mm)
Sta. 141+000-151+509(Deflection inPamanukan Sewo dorection
Figure 4. Layer pavement models
The EVERSERIES program will carry out an iteration until the difference between the
assumed and calculated deflection was minimum or optimum. The results of
EVERSERIES program in analyzing the Stiffness Modulus are shown in Figure 7. It was
shown that for the direction Pamanukan to Sewo, the highest percentage of E1 laid
between 3000 to 5000 MPa, while for E2 laid between 100 to 500 MPa, and for E3 laid
more than 200 MPa. For the direction Pamanukan to Sewo, the highest percentage of E1
laid between 1000 to 3000 MPa, while for E2 laid less than 100 MPa, and for E3 laid
more than 200 MPa.
3.4 Overlay Thickness
The overlay thickness was calculated based on fatigue cracking and rutting failure
criteria, which are both commonly used for mechanistic analysis. A pavement system
under dual tire loads is analyzed by a multilayered elastic program which can consider
stress sensitivity of unbound materials. The analysis produces the two failure criterion
parameters, which are the horizontal tensile strain at the bottom of the asphalt concrete
layer and the vertical compressive strain at the top of the subgrade for fatigue and
rutting failures, respectively. In general, the algorithm of AASHTO 1993 method for
determining the overlay thickness was shown in Figure 3 (AASHTO, 1993). Using the
same input as the calculation above, the remaining life and overlay needed were
obtained. The summary of overlay thickness calculation was presented in table 2 and
table 3 below.
Deverseries (cm)
2 Layer
Deverseries (cm)
3 Layer
Deverseries (cm)
4 Layer
11,5 24,5 18,3
15,7 9,3 8,9
13,9 26,5 33,9
12,2 35,9 33,6
Existing Pavement Two Layer model Three Layer model Four Layer model
E1
H1 = 12 cm
(1000 - 3500 Mpa)
E1
H1 = 12 cm
(1000 - 3500 Mpa)
AC-BC 7 mm
CMRFB 250 mm
E2
H2 = 55 cm
(1000 - 3500 Mpa)
E2
H2 = 25 cm
(1000 - 3500 Mpa)
CTRB 300 mm
E2
H2 = ~
(100 - 500 Mpa)
E3
H3 = 30 cm
(1000 - 3500 Mpa)
SUBGRADE
E3
H3 = ~
(100 - 500 Mpa)
E4
H4 = ~
(100 - 500 Mpa)
AC-WC 5 mm
E1
H1 = 37 cm
(1000 - 3500 Mpa)
Deverseries (cm)
2 Layer
Deverseries (cm)
3 Layer
Deverseries (cm)
4 Layer
11,20 32,60 33,10
11,08 32,33 32,50
11,00 32,38 32,50
13,43 32,43 32,57
30,71 34,29 33,43
12,58 17,50 23,67
15,64 30,07 31,79
24,50 35,21 34,00
Table. Summary of overlay thickness using AASHTO 1993 method and EVERSERIES Program
From Lane Pamanukan To Sewo
STA SNf Sneff(min) SNov Dov (cm)
Deverseries
(cm)
141+000 -142+300 5,471 3,58 4,739 12,036 11,5
142+300 -148+442 5,691 3,58 5,288 13,431 15,7
148+442 -149+900 5,954 3,58 5,946 15,104 13,9
149+900 -151+000 6,060 3,58 6,210 15,773 12,2
Table. Summary of overlay thickness using AASHTO 1993 method and EVERSERIES program
From Lane Sewo To Pamanukan
STA SNf Sneff(min) SNov Dov (cm)
Deverseries
(cm)
152+000 -150+773 6,0780 3,58 6,2553 15,8885 11,2
150+773 -149+165 6,1289 3,58 6,3826 16,2117 11,1
149+165 -147+985 5,6605 3,58 5,2115 13,2372 11,0
147+985 -146+187 5,8835 3,58 5,7690 14,6532 13,4
146+187 -145+017 5,4833 3,58 5,2533 13,3435 30,7
145+017 -144+000 5,3185 3,58 4,8787 12,3918 12,6
144+000-142+791 5,2760 3,58 4,2503 10,7958 15,6
142+791-141+405 5,7380 3,58 4,875 12,3825 24,5
Two tables above show that the overlay thickness needed by EVERSERIES program is
greater than calculated by the AASHTO 1993 method. It is shown that the EVERSERIES
program gives the highest overlay thickness compared to the others, meaning that the
analytical method considers all the “damage” obtained in the flexible pavement
structure.
4. CONCLUCIONS.
Considering all results presented above, some conclusions could be drawn:
a. The EVERSERIES program, represented one of the Mechanistic method for pavement
evaluation, gives a faster method of analysis to calculate the Stiffness Modulus of
pavement layers, when it is compared to the Semi-mechanistic method i.e. the
AASHTO- 93 method.
b. The overlay thickness calculated by the EVERSERIES program, was higher than the
results calculated by the AASHTO-93 method. In fact, the mechanistic method
analyzes the “total” pavement structure and considers all the “damage” occurred in
each layer.
c. The high value of Truck Factor indicates the “overloading” effect in the road section,
which was shown in the case study i.e. Pantura road, Pamanukan Sewo section. A
detail observation and monitoring system was still required actually to overcome
this problem.
REFERENCE
AASHTO, (1993), Guide for Design of Pavement Structures 1993, American Association of State Highways
and Transportation Officials, Washington DC, USA.
Finn, F.N., et al., (1977), The Use of Distress Prediction Subsystems for the Design of Pavement Structures,
Proceedings, 4th International Conference on the Structural Design of Asphalt Pavements, University
of Michigan, Ann Harbor, USA.
The Asphalt Institute, (1981), Thickness Design – Asphalt Pavement for Highways and Streets, Manual
Series No.1 (MS-1), 9th Edition, College Park Maryland 20740.
Muench, S.T., Mahoney, J.P., and Pierce, L.M., (2003). The WSDOT Pavement Guide Interactive, Washington
Department of Transportation (WSDOT),Olympia,WA. Retrieved June 12, 2009, from WSDOT Official
(http://training.ce.washington.edu/WSDOT/). (online) di akses 3 Juni 2014
Subagio, B.S., Wibowo, S.S., Ferdian. T., dan Sufanir. A.M.S. (2011), Comparison of Overlay Design Analysis
using Mechanistic and Semi-Analytical Methods, case study : Jakarta-Cikampek Toll Road,
Proceedings of the Eastern Asia Society fot Transportation Studies, Vol.8
Subagio, B.S., RAMC, F., Rahman, H., dan Kusumawati, A (2013). Structural and Functional Evaluation of
Flexible Pavement in Indonesia Case Study: Ciasem-Pamanukan Section, Proceedings of 9th
Conference EASTS,
WSDOT, (2005), EVERSERIES © USER’S GUIDE : Pavement Analysis Computer Software and Case Studies,
Washington, USA.

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Journal EASTS 2015

  • 1. Comparison of Overlay Design Analysis Using Mechanistic and Semi-Analytical Methods Case Study: Pamanukan-Sewo Section. Bambang S SUBAGIO Faisal Gerardo Professor Assistant Civil Engineering Dept. Civil Engineering Dept. ITB Bandung-Indonesia ITB Bandung-Indonesia Fax:+62-22-2502350 Fax:+62-22-2502350 E-mail : bsugengs@si.itb.ac.id E-mail:office@trans.si.itb.ac.id Abstract: The purpose of this research is to compare 2 (two) methods. Mechanistics and Semi-analytical in analyzes the flexible pavement structures of one section of the National Road (PANTURA) Indonesian. PANTURA is a National Arteri road, located in North corridor of Java Island and has very strategic role in the transportation mobility from west Java to East Java and to calculate the overlay thickness required, based on the deflection data using Falling Weight Deflectometer (FWD) equipment. From the deflection data, Resilient Moduli in each layer can be determined by using the Mechanistics method the Everseries Computer Program. These results were then compared to the calculation results using the semi-analytical method AASHTO 1993. The result of Resilient Moduli in each layer shows that those values could identify the weakness layer in the pavement structure, indicated by the lower value of Moduli. The calculation using analytical method showed that the overlay needed was slightly higher than that calculated by semi-analytical method. This means that the analytical method could analyze the “total”deterioration of generated in the pavement structure. Keywords: Mechanistics, Overlay, Everseries method, AASHTO-93 method 1. INTRODUCTION The purpose of a pavement structure is to carry traffic safely, conveniently and economically over its extended life. The pavement must provide smooth riding quality with adequate skid resistance and have adequate thickness to ensure that traffic loads are distributed over an area so that the critical stresses and strains at all pavement layers and at the top of subgrade are within the capabilities of the materials. The performance of the pavement therefore related to its ability to serve traffic over a period of time, namely “design life”. From the day it is opened to traffic, a pavement will suffer progressive structural deterioration. It is possible that the pavement may not fulfill its intended function of carrying a projected amount of traffic during its design life, because the degree of deterioration is such that the reconstruction or major structural repair is necessitated before the end of design life. The purpose of this research is to compare the 2 (two) methods mechanistic and semi analytical in analyzed the existing pavement structure of the National Road (PANTURA), and to calculate the overlays thickness required, based
  • 2. on the deflection-bowl data using Falling Weight Deflectometer (FWD) equipment. Considering the Cumulative Damage theory and the allowable stress/strain in each layer, the overlay thickness needed were obtained. 2. THE EVERSERIES PROGRAM The EVERSERIES is a series of computer program which consists of 3 (three) “subprograms”, namely: EVERCALC, EVERSTRESS, and EVERPAVE. This program could analyze the flexible pavement structures based on mechanistic approach (WSDOT,2005). The Evercalc program can calculate the “elastic” moduli of pavement layer, determine the coefficient of stress sensitivity of unstabilized materials, stresses and strains at various depths, and optionally normalizes Asphalt mix modulus to a standard laboratory condition. The Everstress program is capable of determining the stress, strains and deflections in a multi-layered elastic system under circular surface loads. EVERSERIES EVERCALC EVERSTRESS EVERPAVE This program will also take into account any stress dependent stiffness modulus and the Everpave program is a flexible pavement overlay design based on the multilayered elastic system. The determination of the overlay thickness is based on the required thickness to bring the damage levels to an acceptable level under a design traffic condition. The damage levels are calculated on two primary distress type, fatigue cracking and rutting. This program is capable of considering seasonal variations and stress sensitivity of the pavement materials. FWD Deflection Data Pavement Layer Data Backalculation Program EVERCALC Pavement Layer Moduli Pavement Data : Poisson’s Ratio & Overlay Moduli, initial overlay thickness & increment Existing Layer moduli & Poisson ratio General Data : Type Pressre & Spasing Shift Factors Seasonal Temperature & Adjusments Traffic Data : Design Period or ESAL per year or Average Daily Traffic Overlay Design EVERPAVE Overlay Thickness Figure.1 Principles in EVERSERIES Program
  • 3. And the Everpave program is a flexible pavement overlay design based on the multilayered elastic system. The determination of the overlay thickness is based on the required thickness to bring the damage levels to an acceptable level under a design traffic condition. The damage levels are calculated on two primary distress type, fatigue cracking and rutting. This program is capable of considering seasonal variations and stress sensitivity of the pavement materials. EVERSERIES User’s Guide, 2005 Figure 2. Prinsiples of Backaclculation in Evercalc Program A mechanistic overlay design procedure in this program was developed by the Washington State Department of Transportation (WSDOT) that is based on the back- calculation of material properties and fatigue and rutting failures. Backcalculation method is defined where measured and calculated surface deflection basins are matched (to within some tolerable error) and the associated layer moduli required to achieve that match are determined. In this approach, layer moduli can be calculated for each deflection test point according to the flowchart in the Figure 1. The primary measure of the convergence between measured and calculated surface deflection will be Root Mean Square (RMS), defined as : RMS (%) = 100√∑ ( 𝑑𝑚−𝑑𝑐 𝑑𝑚 ) 2 𝑁 𝑖=1 𝑁𝑑 ....................................................................................................................( I )
  • 4. Where : RMS = root mean square Dci = calculated pavement surface deflection at sensor i Dmi = meaured pavement surface deflection at sensor i, and Nd = number of deflection sensors used in the backcalculation process The Evercalc program uses WESLEA as the layered elastic solution to computer the theoretical deflections and a modified Augmented Gauss-Newton algorithm for optimization. An inverse solution technique is used to determine elastic moduli from FWD pavement surface deflection measurements. The deflections calculated using WESLEA is compared with the measured ones at each iteration. When the discrepancies in the calculated and measured deflections falls within the allowable tolerances, or the number of iterations has reached a limit, the program terminates. The determination of the overlay thickness is based on the required thickness to bring the damage levels to an acceptable level under a design traffic condition. The damage levels are based on two primary distress types, fatigue cracking and rutting, which are the most common criteria for mechanistic analysis based overlay design. The program is also capable of considering seasonal variation and stress sensitivity of the pavement materials. For fatigue cracking failure, Finn’s model (Finn, F.N, 1977) is commonly used. The model used linearly shifts Monismith’s laboratory model (Monismith, 1969) which is shown below: log Nf = 14.82 - 3.291 log (€t) - 0.854 log (Eac )..........................................................................................................(II) where, Nf = number of axle load applications to failure €t = horizontal tensile strain at the bottom of the HMA layer (in/in x 10-6) Eac = the stiffness modulus of the HMA layer (ksi) Rutting occurs due to permanent deformation of the asphalt concrete layer and unbound layers. However, as the deformation of asphalt concrete is not well defined, the failure criteria equations are expressed as a function of the vertical compressive strain at the top of the subgrade. The rutting criterion was adopted from the Asphalt Institute (TAI, 1981) It is shown below: log Nf = 1.077 x 1018 (€vs) - 4.4843 .....................................................................................................(III) where, Nf = allowable number of 80 kN ( 18,000 lb ) equivalent single axles (ESAL) so that rutting at the pavement surface should not exceed 0.5 inch, and €v = vertical compressive strain at the top of the subgrade layer The properties of the pavement system are significantly affected by climatic conditions. Consequently, seasonal adjustments for pavement materials are essential for design purposes. The adjustment for asphalt concrete is achieved by the use of a stiffness
  • 5. temperature relationship and that for the unbound materials by applying the seasonal variations of the materials (in terms of Moduli Ratio’s). As the climate condition changes with location and time and its effects vary with pavement materials, engineering judgment is always needed. As the stiffness of asphalt concrete is significantly affected by temperature, it is important to determine pavement temperature as accurately as possible. The pavement temperature is commonly determined by the relationship between air temperature and pavement temperature. For the pavement design purpose, the Mean Monthly Air Temperature (MMAT) are converted to Mean Monthly Pavement Temperatures (MMPT) (Shook, et al., 1982) as follows: MMPT = MMAT {1 + 1/(Z + 4)} – 34/(Z + 4) + 6(12) ..............................................................(IV) where, MMPT = mean monthly pavement temperature (°F), MMAT = mean monthly air temperature (°F), and z = depth below pavement surface (inches) RESEARCH METHODOLOGY The working plan of this study can be seen in Figure 1 and Figure 3, which is divided into structural analysis programs: AASHTO 1993 and Everseries program method. Figure 2. Location of Bts.Pamanukan to Sewo Section
  • 6. The Methodology of Structural analysis consists of : - The collection of some principal data in the Pamanukan - Sewo section, which consists of traffic data (AADT), the axle-loading data resulted from WIM survey in 2013, the FWD’s deflection data, the pavement thickness data and the pavement temperature data. - The average Traffic Growth was calculated based on the “time series” AADT data. - The Truck Factor for each vehicle type was calculated using the axle-loading data. - The cumulative ESAL actual and the “future” cumulative ESAL will be determinedconsidering the AADT data, the average growth factor and the Truck Factor for each - vehicle. - Hence, the AASHTO-93 method can be applied to obtain the SNf and SNeff (future and effective values, respectively), and the overlay thickness for several survey point. Source: AASHTO 1993 Figure. 3 Flow Chart of Structural Analysis Using the AASHTO 1993 Method
  • 7. 3. Case Study : PANTURA Section Pamanukan Sewo 3.1 Traffic Data PANTURA is a National Arteri road, located in North corridor of Java Island. It can be said that the heavy vehicles in PANTURA National Road prefer to use fast lane rather than slow lane. However, this phenomenon is contradictive with the regular lane distribution in the arterial road in Indonesia. The actual traffic data was classified into ten vehicle categories, based on Bina Marga’s Classification, i.e. vehicle category 2 until vehicle category 7C. For example, the distribution of traffic data for Sewo-Pamanukan direction is shown in Table 2 Table.1. Traffic From Pamanukan to Sewo No Year AADT (Vehicle/Day) Total Vehicles Light Vehicles Heavy Vehicles 2 3 4 5A 5B 6A 6B 7A 7B 7C 1 2009 6067 7491 4413 741 65 2894 3651 1217 142 478 27159 2 2010 6371 7866 4634 779 69 3039 3834 1278 150 502 28522 3 2011 6674 8241 4855 816 72 3184 4017 1339 157 526 29881 4 2012 7281 8990 5296 890 79 3473 4382 1461 171 574 32597 5 2013 7866 9712 5722 961 85 3752 4734 1578 185 620 35215 Source : IRMS’s database, 2013 3.2 Design and Actual Truck Factor . The “Design” Truck Factor, defined as the total equivalent damage for each vehicle was calculated using the maximum allowable limit of axle load configuration in the vehicle classification data. This data will then be compared to the “actual” Truck Factor, based on the WIM (Weight-in-Motion) survey. The vehicle axle load data was obtained from WIM (Weight-in-Motion), It is similar to a gross weight survey for moving vehicle, and the weight proportion for each vehicle tires was determined by analyzing the dynamic pressure of each tires. The vehicle axle load data used in this research are resulted from WIM Survey at Cirebon-Losari section in 2013. The comparison of Design and Actual Truck Factor was shown in Table 1 and Figure 2. Table.2. Comparison of Design and Actual Truck Factor Vehicle Class 6B 7A 7B 7C TF Design (Bina Marga) 3,7796 4,4525 8,2906 6,1309 TF Actual (WIM) 5,6510 5,7780 10,2770 12,3120 Source : IRMS, 2013 The cumulative ESAL value can be determined by multiplying the AADT value for oneyear with the lane distribution factor and the average Truck Factor (TF) for each vehicle. The prediction of cumulative ESAL from 2013 to 2018 is calculated using the AASHTO 1993 and EVERSERIES program equation. This value is important in order to obtain the remaining life (RL) and the overlay thickness of that section. The actual Cumulative ESAL predicted from 2013 to 2018 is shown in Table 2.
  • 8. Table.3. The Cumulative ESAL predicted from 2013 to 2018 Year Pamanukan Sewo (cumulative) 2013 6.404.098 2014 13.239.065 2015 20.533.845 2016 28.319.436 2017 36.628.753 2018 45.469.099 3.3 Deflection Analysis and Resilient Moduli The deflection data were obtained from survey in 2013 using the Falling Weight Deflectometer (FWD) equipment. The instrument is supported with 25 inch dish load, 200 kg ballast load and 26 inch high falls. Each deflectometer is placed among 0, 200, 300, 450, 600, 900, 1200, 1500 and 1800 mm for pavement with total thickness more than 700 mm. These FWD’s deflection data will be used in structural analysis and combined with the AADT data, axle load (WIM) data and pavement thickness. For example, the d1(maximum deflection) of FWD deflection data for Pamanukan direction in fast lane is shown in Figure 3. Figure 3. FWD Deflection data of Bts.Pamanukan to Sewo Section The EVERSERIES program used 3 (three) or more deflections to calculate the resilient modulus of each layer. Depending on the system considered i.e. 2 (two) layer, 3 (three) layer, 4 (four) layer, or more. 0.000 50.000 100.000 150.000 200.000 250.000 300.000 350.000 400.000 450.000 141.000 141.299 142.193 142.342 142.500 142.705 142.906 143.107 143.347 143.509 143.715 143.915 144.174 144.330 144.519 144.621 146.700 147.512 147.700 147.900 148.101 148.306 148.512 148.700 149.000 149.135 149.900 150.100 150.367 150.547 150.721 150.900 151.097 151.310 151.509 Deflection(x0,001mm) Sta. 141+000-151+509(Deflection inPamanukan Sewo dorection
  • 9. Figure 4. Layer pavement models The EVERSERIES program will carry out an iteration until the difference between the assumed and calculated deflection was minimum or optimum. The results of EVERSERIES program in analyzing the Stiffness Modulus are shown in Figure 7. It was shown that for the direction Pamanukan to Sewo, the highest percentage of E1 laid between 3000 to 5000 MPa, while for E2 laid between 100 to 500 MPa, and for E3 laid more than 200 MPa. For the direction Pamanukan to Sewo, the highest percentage of E1 laid between 1000 to 3000 MPa, while for E2 laid less than 100 MPa, and for E3 laid more than 200 MPa. 3.4 Overlay Thickness The overlay thickness was calculated based on fatigue cracking and rutting failure criteria, which are both commonly used for mechanistic analysis. A pavement system under dual tire loads is analyzed by a multilayered elastic program which can consider stress sensitivity of unbound materials. The analysis produces the two failure criterion parameters, which are the horizontal tensile strain at the bottom of the asphalt concrete layer and the vertical compressive strain at the top of the subgrade for fatigue and rutting failures, respectively. In general, the algorithm of AASHTO 1993 method for determining the overlay thickness was shown in Figure 3 (AASHTO, 1993). Using the same input as the calculation above, the remaining life and overlay needed were obtained. The summary of overlay thickness calculation was presented in table 2 and table 3 below. Deverseries (cm) 2 Layer Deverseries (cm) 3 Layer Deverseries (cm) 4 Layer 11,5 24,5 18,3 15,7 9,3 8,9 13,9 26,5 33,9 12,2 35,9 33,6 Existing Pavement Two Layer model Three Layer model Four Layer model E1 H1 = 12 cm (1000 - 3500 Mpa) E1 H1 = 12 cm (1000 - 3500 Mpa) AC-BC 7 mm CMRFB 250 mm E2 H2 = 55 cm (1000 - 3500 Mpa) E2 H2 = 25 cm (1000 - 3500 Mpa) CTRB 300 mm E2 H2 = ~ (100 - 500 Mpa) E3 H3 = 30 cm (1000 - 3500 Mpa) SUBGRADE E3 H3 = ~ (100 - 500 Mpa) E4 H4 = ~ (100 - 500 Mpa) AC-WC 5 mm E1 H1 = 37 cm (1000 - 3500 Mpa)
  • 10. Deverseries (cm) 2 Layer Deverseries (cm) 3 Layer Deverseries (cm) 4 Layer 11,20 32,60 33,10 11,08 32,33 32,50 11,00 32,38 32,50 13,43 32,43 32,57 30,71 34,29 33,43 12,58 17,50 23,67 15,64 30,07 31,79 24,50 35,21 34,00 Table. Summary of overlay thickness using AASHTO 1993 method and EVERSERIES Program From Lane Pamanukan To Sewo STA SNf Sneff(min) SNov Dov (cm) Deverseries (cm) 141+000 -142+300 5,471 3,58 4,739 12,036 11,5 142+300 -148+442 5,691 3,58 5,288 13,431 15,7 148+442 -149+900 5,954 3,58 5,946 15,104 13,9 149+900 -151+000 6,060 3,58 6,210 15,773 12,2 Table. Summary of overlay thickness using AASHTO 1993 method and EVERSERIES program From Lane Sewo To Pamanukan STA SNf Sneff(min) SNov Dov (cm) Deverseries (cm) 152+000 -150+773 6,0780 3,58 6,2553 15,8885 11,2 150+773 -149+165 6,1289 3,58 6,3826 16,2117 11,1 149+165 -147+985 5,6605 3,58 5,2115 13,2372 11,0 147+985 -146+187 5,8835 3,58 5,7690 14,6532 13,4 146+187 -145+017 5,4833 3,58 5,2533 13,3435 30,7 145+017 -144+000 5,3185 3,58 4,8787 12,3918 12,6 144+000-142+791 5,2760 3,58 4,2503 10,7958 15,6 142+791-141+405 5,7380 3,58 4,875 12,3825 24,5 Two tables above show that the overlay thickness needed by EVERSERIES program is greater than calculated by the AASHTO 1993 method. It is shown that the EVERSERIES program gives the highest overlay thickness compared to the others, meaning that the analytical method considers all the “damage” obtained in the flexible pavement structure. 4. CONCLUCIONS. Considering all results presented above, some conclusions could be drawn: a. The EVERSERIES program, represented one of the Mechanistic method for pavement evaluation, gives a faster method of analysis to calculate the Stiffness Modulus of pavement layers, when it is compared to the Semi-mechanistic method i.e. the AASHTO- 93 method.
  • 11. b. The overlay thickness calculated by the EVERSERIES program, was higher than the results calculated by the AASHTO-93 method. In fact, the mechanistic method analyzes the “total” pavement structure and considers all the “damage” occurred in each layer. c. The high value of Truck Factor indicates the “overloading” effect in the road section, which was shown in the case study i.e. Pantura road, Pamanukan Sewo section. A detail observation and monitoring system was still required actually to overcome this problem. REFERENCE AASHTO, (1993), Guide for Design of Pavement Structures 1993, American Association of State Highways and Transportation Officials, Washington DC, USA. Finn, F.N., et al., (1977), The Use of Distress Prediction Subsystems for the Design of Pavement Structures, Proceedings, 4th International Conference on the Structural Design of Asphalt Pavements, University of Michigan, Ann Harbor, USA. The Asphalt Institute, (1981), Thickness Design – Asphalt Pavement for Highways and Streets, Manual Series No.1 (MS-1), 9th Edition, College Park Maryland 20740. Muench, S.T., Mahoney, J.P., and Pierce, L.M., (2003). The WSDOT Pavement Guide Interactive, Washington Department of Transportation (WSDOT),Olympia,WA. Retrieved June 12, 2009, from WSDOT Official (http://training.ce.washington.edu/WSDOT/). (online) di akses 3 Juni 2014 Subagio, B.S., Wibowo, S.S., Ferdian. T., dan Sufanir. A.M.S. (2011), Comparison of Overlay Design Analysis using Mechanistic and Semi-Analytical Methods, case study : Jakarta-Cikampek Toll Road, Proceedings of the Eastern Asia Society fot Transportation Studies, Vol.8 Subagio, B.S., RAMC, F., Rahman, H., dan Kusumawati, A (2013). Structural and Functional Evaluation of Flexible Pavement in Indonesia Case Study: Ciasem-Pamanukan Section, Proceedings of 9th Conference EASTS, WSDOT, (2005), EVERSERIES © USER’S GUIDE : Pavement Analysis Computer Software and Case Studies, Washington, USA.