10-Traffic Characterization ( Highway Engineering Dr. Sherif El-Badawy )
1. 1
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
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Traffic Characterization
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
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Traffic Loading
• Primary input to any design procedure
• Issues:
• Vehicle Characteristics
• Weight
• Wheel and axle configuration
• Frequency of occurrence
• Traffic Volume
• Current
• Future (traffic growth)
• Other
• Lateral wander
• Often not well-defined in practice
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
Traffic Loads Characterization
Pavement Thickness Design Are Developed
To Account For The Entire
Spectrum Of Traffic Loads
Cars Pickups Buses Trucks Trailers
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Critical Response Values
et
ec
et
ec
et at surface + bottom of all bound layers (cracking)
ec at midthickness of all layers + top of subgrade (rutting)
2. 2
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Traffic Composition
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Axle Configuration
Single Axle
Single Tires
Single Axle
Dual Tires
Tandem Axle
Dual Tires
Tridem Axle
Dual Tires
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Axle
Configuration
3. 3
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Axle Configuration Parameters
Axle Width
Axle
Spacing
Tire
Pressure
Dual Tire
Spacing
Wheel Base
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FHWA Vehicle Classes
1 2 3 4
5 6 7 8
9 10 11
12 13
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Normalized Truck Distribution by Truck Class
El-Badawy, et al. TRB, 2012
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
Sources of Traffic Data
• Weigh-in-motion (WIM)
• Automatic vehicle classification
(AVC)
• Traffic counts
4. 4
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
Highway Graduation Project 2011
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Design Approaches
•Fixed Traffic
•Fixed Vehicle
•Variable Traffic and Vehicle
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Fixed Traffic
• Thickness design governed by single
wheel load
• Multiple wheels converted to equivalent single
wheel load (ESWL)
• Number of traffic repetitions is not a
variable
• Historical usage:
• Airport pavements
• Highway pavements w/ heavy wheel loads but
light traffic volume
• Method rarely used today
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
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Important Definitions
• Standard Axle Load (SAL): A single axle
with dual tires that has a weight of 18,000
lb (80 KN).
• ESAL: The number of repetitions of an
18,000 lb single axle load
5. 5
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Equivalent Single Axle Load
(ESAL)
• Most common standard load
• Developed at the AASHO Road Test
• Load equivalency factors (LEFs)
• The number of ESALs needed to cause the
same damage as the load in question
1 ESAL = damage caused by one 18,000 lb single axle load
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
Load Equivalency Factors (LEF)
LEFs Can Be Based On:
• Equivalent Stress or Strain at a Given Location
(Mechanistic)
• Equivalent Deflection at a Given Location
(Mechanistic)
• Equivalent Serviceability Loss
(AASHTO)
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
LEF = EALF
• Ratio of damage caused by a certain axle to
that caused by the standard one.
• Based on Fatigue,
• LEF ≈ {Wi / Ws}4,
where W = weight of axle
• Based on AASHTO Equation:
• For Flexible Pavements
• For Rigid Pavements
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
AASHTO Load Equivalency
Factors
Load Equivalency Factor (LEF):
No. of repetitions of 18-k SAL Load causing given PSI
No. of repetitions of X- k Y-Axle Load for a same PSI
Change for each:
Pavement Type
Thickness
Terminal Serviceability.
6. 6
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ESALF
• Ratio of damage caused by a certain axle to
that caused by the standard one.
• Based on Fatigue,
• ESALF ≈ {Wi / Ws}4,
where W = weight of axle
• Based on AASHTO Eqn,
• For Flexible Pavements, see Equation in Next
Slide
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AASHTO 1993 Equation for LEF for Flexible
Pavement
Wtx = number of applications of given axle
Wt18 = number of standard axle passes (18-kips single axle)
Lx = load of axle group being evaluated, kips
L2 = axle code (1 for single, 2 for tandem, and 3 for tridem, 4 for quad)
b18 = value of bx when Lx = 18 and L2 = 1
pt = terminal serviceability index
SN = structural number
LEF = load equivalency factor
tx
t18
W
W
LEF
18
t
x
t
22x
t18
tx
β
G
β
G
)4.33log(L)L4.79log(L1)4.79log(18
W
W
log
1.54.2
p4.2
logG t
t
3.23
2
5.19
3.23
2x
x
L1SN
)L0.08(L
0.40β
Where:
ESALs
12,000 lbs
LEF = 0.189
28,000 lbs
LEF = 0.495
28,000 lbs
LEF = 0.495
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
(Huang, 2004)
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
للطرق المصري للكود طبقا بها المسموح والحموالت المحاور أوزان
7. 7
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
للطرق المصري للكود طبقا بها المسموح والحموالت المحاور أوزان
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
Approximate Relations to Compute LEF
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REGULAR MIXED TRAFFIC
Equivalent Number of 18k Single Axle
Loads
8. 8
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Truck Factor = S (Number of axles * LEF)/number of vehicles
Truck Factor = S LEF = 0.189 + 0.495*2 = 1.368
ESALs
12,000 lbs
LEF = 0.189
28,000 lbs
LEF = 0.495
28,000 lbs
LEF = 0.495
Truck Factors
Truck Factor (TF) = sum of all LEFs for each truck
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
TF = 1.5 to 2.5
According to Egyptian Code
32
Truck
Factor
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Truck Factors – Urban
Vehicle Type Interstate Freeways
Other
Principal
Minor
Arterials Collectors
Single-unit trucks
2-axle, 4-tire 0.002 0.015 0.002 0.006 -
2-axle, 6-tire 0.17 0.13 0.24 0.23 0.13
3-axle or more 0.61 0.74 1.02 0.76 0.72
All single units 0.05 0.06 0.09 0.04 0.16
Tractor semi-
trailers
4-axle or less 0.98 0.48 0.71 0.46 0.40
5-axle 1.07 1.17 0.97 0.77 0.63
6-axle or more 1.05 1.19 0.90 0.64 -
All multiple units 1.05 0.96 0.91 0.67 0.53
ALL TRUCKS 0.39 0.23 0.21 0.07 0.24
From MS-1, Table IV-5
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Truck Factors – Rural
Vehicle Type Interstate
Other
Principal
Minor
Arterials
Major
Collector
Minor
Collector
Single-unit trucks
2-axle, 4-tire 0.003 0.003 0.003 0.017 0.003
2-axle, 6-tire 0.21 0.25 0.28 0.41 0.19
3-axle or more 0.61 0.86 1.06 1.25 0.45
All single units 0.06 0.08 0.08 0.12 0.03
Tractor semi-trailers
4-axle or less 0.62 0.92 0.62 0.37 0.91
5-axle 1.09 1.25 1.05 1.67 1.11
6-axle or more 1.23 1.54 1.04 2.21 1.35
All multiple units 1.04 1.21 0.97 1.52 1.08
ALL TRUCKS 0.52 0.38 0.21 0.30 0.12
From MS-1, Table IV-5
9. 9
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Truck Distribution - Rural
Vehicle Type Interstate
Other
Principal
Minor
Arterials
Major
Collector
Minor
Collector
Single-unit trucks
2-axle, 4-tire 43 60 71 73 80
2-axle, 6-tire 8 10 11 10 10
3-axle or more 2 3 4 4 2
All single units 53 73 86 87 92
Tractor semi-trailers
4-axle or less 5 3 3 2 2
5-axle 41 23 11 10 6
6-axle or more 1 1 <1 1 <1
All multiple units 47 27 14 13 8
ALL TRUCKS 100 100 100 100 100
From MS-1, Table IV-1
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Truck Distribution – Urban
Vehicle Type Interstate
Other
Principal
Minor
Arterials
Major
Collector
Minor
Collector
Single-unit trucks
2-axle, 4-tire 52 68 67 84 86
2-axle, 6-tire 12 12 15 9 11
3-axle or more 2 4 3 2 <1
All single units 66 82 85 95 97
Tractor semi-trailers
4-axle or less 5 5 3 2 1
5-axle 28 13 12 3 2
6-axle or more 1 <1 <1 <1 <1
All multiple units 34 18 15 5 3
ALL TRUCKS 100 100 100 100 100
From MS-1, Table IV-1
Mansoura University - Faculty of Engineering – Public Works Engineering Dept. Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
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Traffic Analysis
ESAL = Equivalent 18,000 lb single axle load
AADTi = First year annual average daily traffic for axle i in both directions
Gjt = growth factor for growth rate j and design period t
fd = lane distribution factor
df = directional distribution factor
Ni = Number of axles
FEi = Load equivalency factor for axle i
Ti = Truck Factor
ESAL = 365(fd)(df)(Gjt)S(AADTi)(Ni)(FEi) using LEF
ESAL = 365(fd)(df)(Gjt)S(AADTi)(Ti) using Truck Factor
10. 10
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Percentage of truck traffic traveling
in one direction
47%
53%
Directional Distribution
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ADT 20,000
25% trucks
75% trucks
ADT 60,000
8% trucks
39% trucks
53% trucks
Design for
worst case!!
Lane Distribution
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Lane Distribution Factor
N o. of Traffic Lanes
in each Direction
% Trucks in
Design Lane
1 100
2 80–100
3 60–80
4 or more 50–75
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Direction and Lane Factors (dfXfd)
Number of Traffic
Lanes
(Two Directions)
% Trucks in
design lane
2 50
4 45
6 or more 40
11. 11
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Growth Factor (G)
(Huang, 1993)
Based on standard compound growth equations.
r
r
G
n
11
r = growth rate
n = Design period, years
For annual growth rate (r=0), G = n
r = 2 -7 % Egyptian Code
Mansoura University - Faculty of Engineering – Public Works Engineering Dept.
Example of Single Axle Growth
0
100000
200000
300000
400000
2000 2010 2020 2030 2040
Year
Projectednumberof
singleaxles
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Example 1 - Calculation of ESALS
Axle Load, kips # of Axles per
1000 trucks
Single Axles
2 753
4 299
6 105
8 34
10 42
12 30
14 41
16 93
18 110
20 80
22 50
24 11
Axle Load, kips # of Axles per
1000 trucks
Tandem Axles
14 1
16 5
18 15
20 20
22 36
24 42
26 84
28 92
30 50
32 12
34 8
36 4
38 2
40 1
42 1
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12. 12
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Axle Load Spectra
0%
2%
4%
6%
8%
10%
12%
14%
16%
18%
0 10000 20000 30000 40000 50000 60000 70000 80000 90000
PercentAxles
Axle Load, lb
000169-South,VC 9, Tandem Axles
January
February
March
April
May
June
July
August
September
October
November
December
El-Badawy, et al. TRB, 2012