INTRODUCTION
This study presents asphalt pavement design methodologies used in Mozambique and China. First reason was to study the influence of the two methods in thickness design of roads built of AC largely used in road construction in Mozambique and China due to the following advantages: 1) initial lower cost and 2) easier to repair or to recycle. Second, was to compare the difference between the two design methods of AC. The disadvantage of AC pavement is that it has a shorter service life than Portland Cement Concrete (PCC) pavement and frequently requires significant rehabilitation measures (overlay or surface treatment) due to age hardening and loss of fatigue resistance (CDT, 2004). Generally, AC is built of an asphalt layer that is placed over a treated or untreated base layer and over an untreated subbase layer. The function of the pavement structure is to support load imposed by vehicles and distribute it over a large area of the natural soil (Huang, 2004; Caputo, 1985; Croney and Croney, 1997).
PAVEMENT DESIGN METHODS USED IN MOZAMBIQUE AND CHINA
Pavement design methods used in Mozambique: Until 2000, Mozambique used Portuguese standards to design highway pavements. In 1999, many countries located in Southern Africa Region agreed to incorporate into the SADC (Southern African Development Community) Protocol that the regional road network should be designed to accommodate the same upper limits of axleload and Gross Vehicle Weight (GVW) throughout the region (David, 2002). Since this period, in Mozambique, a designer may use a number of existing design methods (e.g., Portuguese standards, US standards and those based on SATCC, etc.), such as: a) The South African Mechanistic Design Method (SAMDM); b) The Dynamic Cone Penetrometer (DCP) method; c) The ElastoPlastic Design Method (SN method); d) CBR design methods; e) AASHTO Guide for Design of Pavement Structures; f) Design catalogues indicated in SATCC (1998 and 2001) design methodologies and standards (and g) Other design methods indicated in TRL (2004a and 2004b). This study discusses the SATCC design methodologies and standards (origin from South Africa (SA)) grouped in two codes; code for structural design of new asphalt pavements and code for the pavement rehabilitation (overlay).
Code for structural design of new asphalt pavements: The current code
for designing new roads is based on the use of design catalogues which enable
the designer to rapidly select possible pavement structure that should meet
the design criteria. The criterion is based on matching the factors: a) the
traffic class in terms of expected future traffic and b) subgrade class in terms
of CBR of foundation and climatic region (CSRA, 1996). The SATCC (1998 and 2001)
design methodologies and standards take into consideration the traffic loading
as the one very important factor in the pavement design. The total ESAs (Equivalent
Standard Axle of 80 kN) for one direction is computed by Eq. 1
from an estimate average annual daily number (T) of ESAs on one lane at the
opening of the new road to traffic, projected at a selected growth rate (I)
and cumulated to the total traffic over the design period.
where, G_{f} is a growth factor computed by Eq. 2. G_{f} rates normally ranges between 2 to 15% per annum.
where, F is a conversion factor to standards axles in ESAs per vehicle in each direction for each vehicle class, calculated from axle load survey by Eq. 3.
where:
P 
= 
vehicle axle load; 
y 
= 
design period (1020 years); 
n 
= 
damage factor. 
The road categories and traffic used for pavement design in Mozambique are from the SATCC (2001) design methodologies and standards and are classified as A, B, C and D, which correspond to a total equivalent traffic loading per lane (E80/lane) over design period (in million), 3100, 0.310, <3 and <1, respectively.
The equivalency road categories between SATCC design methodologies and standards (2001) and Chinese standards (JTJ01497 and Xiaoming, 2001) are: a) A corresponds to Expressway and highway class I; b) B corresponds to highway class II and III; c) C corresponds to highway class III; and d) D corresponds to highway class IV.
Code for the pavement rehabilitation (overlay): In SATCC standards the main pavement rehabilitation are: a) complete pavement reconstruction; b) partial reconstruction; c) asphalt or granular overlay; d) surfacing rehabilitation and; e) provision of drainage or/improvement of the existing facilities (SATCC, 2001).
In this research, the two simplest design methods (Catalogue and CBR), which do not require previous expensive pavement testing will be presented.
Design catalogues: The design catalogues indicated in SATCC (1998 and
2001) design methodologies and standards, include specific pavement structures
for either nominally wet or nominal dry regions. To determine the appropriate
structures, the following parameters are entered in the design catalogues: a)
traffic class; b) subgrade support classification and c) nominal conditions.
The SATCC design catalogues are basically used for roads with traffic less than
30 million ESAs. For roads with traffic greater than 30 million ESAs, other
design methods must be used, such as UK, US methods and Australian practices
(CSRA, 1996). The SATCC design catalogues give relatively thin (< 50 mm)
asphalt concrete surfacing due to the current low road traffic and provide a
good allweather surfacing for flexible pavements with granular or lightly cemented
bases. But traditionally in wet regions, relatively thick asphalt concrete base
pavements are used. The typical design includes a (100 to 120) mm continuously
graded asphalt concrete base with a 40 mm semigapgraded flexible asphalt concrete
surfacing. In the Technical Recommendations for Highways (TRH4) (CSRA, 1996)
are presented 5 charts for dry region (D1D5) and 5 charts for wet region (W1W5)
matching specific base/subbase structure. These catalogues can be found in TRH4
(CSRA, 1996) and Ministry of Works of the United Republic of Tanzania (MWURT,
1999).
California Bearing Ratio (CBR) Method: Different researches conducted over the world show that the CBR method gives a slightly thinner pavement for heavy traffic when compared to other design methods (Yoder and Witczack, 1975; Garber and Hoel, 2002). Over the world, the design curves are presented for different subgrade CBR values. CBR Method is one of the asphalt pavement design method introduced first by Porter in 1929, as indicated by Eq. 4. Later, Eq. 4 was modified by Peltier (French) in order to include the effect of traffic loading as shown in Eq. 5 (Senço, 1980; Caputo, 1985).
where:
P 
= 
axle load in each wheel, in ton; CBRCalifornia bearing ratio; 
N 
= 
No. of daily load repetition for two directions. 
For calculation of thickness by Eq. 4, the input data are: CBR and P; but by Eq. 5, the same data including N are inputs. For the case eq. 4, if we represent the total pavement thickness (H) and
H 
= 
Asphalt concrete layer (t_{1}) + Base layer (t_{2}) +
Subbase layer (t_{3}) and a = t_{1}+t_{2}, then
the design of pavement structure may follow the procedures: 
Pavement design methodologies used in China: Pavement design methods
used in China follow the Chinese specifications for design of highway asphalt
pavement (JTJ01497) and it is based on confirmation of the class and type of
pavement. In these methods the following factors are considered: regional climate,
hydrology, local material, road traffic characteristic and the road user request
(quality and comfort of the roads). This method is used mainly to confirm the
asphalt layer that should match the design requirements (e.g., serviceability
of pavement). Chinese specifications suggest using the pavement thickness indicated
in Table 1. These thicknesses were determined taking into
consideration the factors: bearing capacity of pavement, weather condition and
pavement temperature, pavement material type, reflection cracks and ruts that
may appear on the pavement and traffic loading and volume.
As recommended in Chinese specifications for design of highway asphalt pavement (JTJ01497) and Xiaoming (2001), the standard vehicle axle load (P), is taken as 100 kN called as BZZ100 axles. The standard axle calculation parameters for this vehicle are: a) the tire pressure (p) of 0.7 MPa; b) the distance between centers of two wheels of 1.5d and c) the equivalent diameter (d) of 213 mm. In this method all axle loads bigger than 25 kN must be converted to equivalent single axle loads of 100 kN. The number of standard axle load in life cycle can be calculated by Eq. 6.
where:
N_{e} 
= 
No. of standard axle load in life cycle for one traffic lane (times); 
t 
= 
design period (years); 
N_{1} 
= 
average daily traffic in the first year for 2 directions (times/day); 
γ 
= 
average assumed annual growth rate (%); 
η 
= 
lane distribution coefficient are: 1.0 for the single lane, 0.5 for the
separated double lanes, 0.60.7 for the not separated double lanes, 0.40.5
for the four lanes and 0.30.4 for the six lanes. 
Thickness design: The thickness of pavement is calculated according to the multilayer elastic theory, that defines the pavement as a continuous system and the deflection of the pavement under loading at the center between the wheels should be less than or equal to allowable road surface deflection, as presented below by Eq. 7.
Pavement deflection is calculated according to the Eq. 8.
where:
l_{s} 
= 
deflection of reality pavement (0.01 mm); 
p 
= 
tire pressure (Mpa); 
δ 
= 
equivalent tire radius (cm); 
α_{c} 
= 
coefficient of theory deflection from Eq. 9; F=deflection
comprehensive correction coefficient from Eq. 10; 
E_{0} 
= 
resilience modulus of subgrade (Mpa); 
E_{1}, E_{2}(SE_{n1} 

= 
resilience modulus of materials of i^{th} structural layers (Mpa); 
h_{1}, h_{2}(Sh_{n1} 

= 
thickness of i^{th} structural layer (cm). 
The Chinese design methodologies and standards include the following steps:
a 
Calculation of allowable deflection for whole pavement and 
b 
Calculation of allowable tensile stress at the bottom of asphalt and base
layers. 
Table 1: 
Recommend
thickness of asphalt pavement (JTJ01497 and Xiaoming, 2001) 

According to the specifications for design of highway asphalt pavement, the
thickness of the asphalt pavement is determined by the allowable road surface
deflection, Eq. 11.
where:
l_{d} 
= 
allowable road surface deflection (0.01 mm); 
N_{e} 
= 
No. of standard axle load in service life (times); 
A_{c} 
= 
coefficient of the road class: for expressway and highway class I = 1.0,
highway class II = 1.1, highway class III = 1.2; 
A_{s} 
= 
coefficient of wearing course: for asphalt concrete pavement = 1.0, asphalt
macadam and asphalt penetration pavement = 1.1, asphalt surface treatment
= 1.2; 
A_{b} 
= 
coefficient for semirigid base = 1.0 and for flexible base = 1.6. 
In the asphalt pavement, the tensile stress of structure σ_{m} at bottom of each layer in analysis should be less than or equal to allowable strength according to Eq. 12 and allowable strength along the extension of layer can be calculated according to Eq. 13.
where:
σ_{R} 
= 
allowable strength along the extension of pavement layer (Mpa); 
σ_{sp} 
= 
cleavage strength of pavement layer material (MPa), cleavage strength
of asphalt concrete measured at 15°C and K_{S} structural coefficient. 
K_{S} can be calculated according to: Eq. 14 for asphalt concrete, Eq. 15 for inorganically binder and granular materials and Eq. 16 for inorganically binder and fine granular soils.
where:
A_{a} 
= 
grade class coefficient: for asphalt concrete, fine particle
and mediumgrained particles = 1.0 and for coarse grained particle = 1.1. 
Computer program APDS: Chinese design methods, normally, are made by
computer program APDS (Southeast Jiaotong University, 2000). The input data
are the elastic modulus for surface, subbase and subgrade layer and respective
coefficient of Poisson’s ratio. The program is based in iteration method;
it computes the elastic modulus for the second layer, the thickness for all
layers and the allowable tensile stress at bottom of surface and base layers.
Additionally, the program computes the allowable displacement for the whole
pavement structure. If the computation is not verified, the user, manually,
must input different material parameters until the design condition is satisfied.
COMPARISON OF PAVEMENT STRUCTURAL DESIGN METHODS USED IN CHINA AND MOZAMBIQUE
Problem statement example: Determine a pavement structure for the road to be built in Mozambique, in a rural area with dry climate taking into account the following parameters: The design vehicle has a load in each wheel of 6500 kg, the estimate average annual daily traffic (AADT) for design vehicles is 280 vehicles per day in one direction, the CBRs of subgrade is 7, granular subbase is 20 and soil cement base is 80, the design period is 10 years, the growth rate 3.5% and the average equivalent factor for commercial vehicles is 1.5.
Computation and input data required for SATCC and Chinese design methods: The input data for both design methods (SATCC and Chinese) are presented in Table 2. The CBR values can be converted to E = Elastic modulus or M_{R} = Resilient modulus using Eq. 17 transformed from Huang (2004).
Table 2: 
Input
data for SATCC and Chinese methods 

*
The weight of heaviest vehicle, SATCCSouth African Transportation and
Communication Commission, ESAEquivalent Standard Axle, T4Traffic class
4, D4Dry region 4 chart 
Table 3: 
The
output data from SATCC and Chinese methods 

*
Elasticity or resilient modulus calculated from formula 6.,** Assumed,
*** Southeast Jiaotong University, Nanjing (2000) 
Output data: The output data for both design methods (SATCC and Chinese) are presented in Table 3. Using the Chinese design method and computer program APDS, this research has found the following: The tensile stress σ_{m} at bottom of asphalt layer is 0 which is less than allowable σ_{R} = 0.92 and σ_{m} at bottom of base layer is 0.5012 which is less than allowable σ_{R} = 0.516. The computed displacement for whole pavement is l_{s} = 0.6829 mm which is less than allowable l_{d} = 0.6831 mm. The deviation of error between computed and allowable displacement (l_{s} and l_{d}, respectively) is 0.03% less than 5%. Thus by both methods, the pavement will efficiently support the predicted loads in the design period.
CONCLUSIONS
• 
South African methods are modified formulas from those used in US and
UK, taking into account local materials, environment and low volume traffic. 
• 
South African catalogues are basically used for roads with traffic less
than 30 million ESAs. 
• 
South African catalogues suggest that if the traffic is higher than 30
million ESAs, other methods such as US, UK and TRLL should be used. 
• 
In South Africa, asphalt pavements are subdivided into thin (asphalt surface
thick less than 50 mm) and thick asphalt (asphalt surface thick more than
75 mm). 
• 
In South Africa there are developed catalogues and CBR design curves for
different CBR subgrade values. 
• 
The catalogues methods give small thickness than CBR and Chinese methods. 
• 
The elastic modulus for the second layer in Chinese method is higher than
in the South African method, which may positively contribute to the good
performance of the pavement. 
• 
The strong point in Chinese method is centered in verifying the tensile
stress and allowable displacement on the pavement. 
• 
The most important remark is that the results from Chinese and South African
design methods gives nearly the same thickness; so this study conclude that
these methods can be used in both countries; China and Mozambique. 
ACKNOWLEDGMENTS
We would like to acknowledge the following professors from Southwest Jiaotong University: Yanjun Qiu, Yao Ling Kan, Lu Yang, Liu Xue Yi and He Ping for their guidance and support.