rigid pavement example - memphis - rigid example.pdf · rigid pavement example ... which is the...
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AASHTO Design Example
(Rigid Pavements)
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Problem Statement
We are going to design a limited-access highway inan exurban area. The predominate terrain is rollinghills. In order to accommodate expected commutertraffic of 20,000 to 30,000 vehicles/day, we require3 traffic lanes in each direction. The two-way ADTTis expected to be 1000 trucks/day in the first year ofoperation. Based on statewide averages, the averageLEF for rigid pavements is 0.98. It is assumed thattruck traffic will grow at a rate of 3% per year overthe 25-year design life.
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Design ESALs
3
n
f1 g 1
ESAL 365 ADTT T D Lg
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Problem Statement
Local practice is to use a granular subbase that willdrain within a few hours. The subbase has a resilientmodulus of 15,000 psi when wet and 25,000 psiwhen dry. The roadbed soil has a resilient modulusof 3000 psi during the 7 months “wet” months and7000 psi the rest of the year. Based on rainfall data,we expect that the subbase will approach saturationone week per month during the wet season.
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Problem Statement
According to local practice, the pavement will bedesigned as JPCP with tied concrete shoulders. Theslab length will be 30 feet and dowels will provideload transfer at the joints. The concrete slab isdesigned for a compressive strength of 5500 psi. Wewill assume that the initial pavement serviceabilityindex will be 4.5. Based on the high traffic volume,we will select a terminal serviceability level of 2.5.
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Design Equation
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10
10 18 R 0 10 7
8.46
PSIlog4.5 1.5log W Z S 7.35log D 1 0.06
1.62 101.0D 1
0.75c d
t 10
0.75
4c
D 1.132S C4.22 0.32p log215.63 J 18.42D
E k
1993
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Rigid Pavement Properties
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Ec = concrete modulus of elasticity (psi)
k = modulus of subgrade reaction (psi/in)
= concrete modulus of rupture (psi)cS
Cd = drainage coefficient
J = joint load transfer coefficient
Zr= standard normal deviate
So = standard deviation of W18
LS = loss of support factor
![Page 8: Rigid Pavement Example - Memphis - Rigid Example.pdf · Rigid Pavement Example ... which is the AASHO Road Test value for rigid pavements. Based on the high traffic volume, we will](https://reader033.vdocument.in/reader033/viewer/2022052419/5a771baa7f8b9aa3618dbaa7/html5/thumbnails/8.jpg)
Rigid Pavement Properties
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Ec = concrete modulus of elasticity (psi)
k = modulus of subgrade reaction (psi/in)
= concrete modulus of rupture (psi)cS
Cd = drainage coefficient
J = joint load transfer coefficient
Zr= standard normal deviate
So = standard deviation of W18
LS = loss of support factor
![Page 9: Rigid Pavement Example - Memphis - Rigid Example.pdf · Rigid Pavement Example ... which is the AASHO Road Test value for rigid pavements. Based on the high traffic volume, we will](https://reader033.vdocument.in/reader033/viewer/2022052419/5a771baa7f8b9aa3618dbaa7/html5/thumbnails/9.jpg)
Recommended Reliability
Functional Classification Urban Rural
Interstate and Other Freeways 85 – 99.9% 80 – 99.9%
Principal Arterials 80 – 99% 75 – 99%
Collectors 80 – 95% 75 – 95%
Local 50 – 80% 50 – 80%
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Reliability, ZRReliability
(%) ZRReliability
(%) ZR
50 -0.000 93 -1.476
60 -0.253 94 -1.555
70 -0.524 95 -1.645
75 -0.674 96 -1.751
80 -0.841 97 -1.881
85 -1.037 98 -2.054
90 -1.282 99 -2.327
91 -1.340 99.9 -3.090
92 -1.405 99.99 -3.750
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Standard Deviation, So
Source Flexible Rigid
AASHO Road Test Sn 0.35 0.25
AASHO Road Test So 0.45 0.35
Typical Range for So 0.40 – 0.50 0.30 – 0.40
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Rigid Pavement Properties
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Ec = concrete modulus of elasticity (psi)
k = modulus of subgrade reaction (psi/in)
= concrete modulus of rupture (psi)cS
Cd = drainage coefficient
J = joint load transfer coefficient
Zr= standard normal deviate
So = standard deviation of W18
LS = loss of support factor
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Typical Concrete Properties
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8.4c cS f psi
6.7t cf f psi
57,000c cE f psi
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Rigid Pavement Properties
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Ec = concrete modulus of elasticity (psi)
k = modulus of subgrade reaction (psi/in)
= concrete modulus of rupture (psi)cS
Cd = drainage coefficient
J = joint load transfer coefficient
Zr= standard normal deviate
So = standard deviation of W18
LS = loss of support factor
![Page 15: Rigid Pavement Example - Memphis - Rigid Example.pdf · Rigid Pavement Example ... which is the AASHO Road Test value for rigid pavements. Based on the high traffic volume, we will](https://reader033.vdocument.in/reader033/viewer/2022052419/5a771baa7f8b9aa3618dbaa7/html5/thumbnails/15.jpg)
Drainage Quality
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Quality Water Removed Within
Excellent 2 hoursGood 1 dayFair 1 weekPoor 1 month
Very Poor No drainage
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Drainage Coefficient, Cd
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Quality< 1% 1-5% 5-25% > 25%
Excellent 1.25-1.20 1.20-1.15 1.15-1.10 1.10Good 1.20-1.15 1.15-1.10 1.10-1.00 1.00Fair 1.15-1.10 1.10-1.00 1.00-0.90 0.90Poor 1.10-1.00 1.00-0.90 0.90-0.80 0.80
Very Poor 1.00-0.90 0.90-0.80 0.80-0.70 0.70
Percentage of Time Material Approaches Saturation
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Load Transfer Coefficient, J
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Asphalt Shoulders Tied PCC Shoulders
Dowels NoDowels Dowels No
DowelsJPCP
3.2 3.8 - 4.4 2.5 - 3.1 3.6 - 4.2JRCP
CRCP 2.9 - 3.2 2.3 - 2.9
NOTE: Use higher J values when you have (a) low k values, (b) lots of trucks, (c) high concrete thermal coefficients, or (d) large variations in temperature.
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Rigid Pavement Properties
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Ec = concrete modulus of elasticity (psi)
k = modulus of subgrade reaction (psi/in)
= concrete modulus of rupture (psi)cS
Cd = drainage coefficient
J = joint load transfer coefficient
Zr= standard normal deviate
So = standard deviation of W18
LS = loss of support factor
![Page 19: Rigid Pavement Example - Memphis - Rigid Example.pdf · Rigid Pavement Example ... which is the AASHO Road Test value for rigid pavements. Based on the high traffic volume, we will](https://reader033.vdocument.in/reader033/viewer/2022052419/5a771baa7f8b9aa3618dbaa7/html5/thumbnails/19.jpg)
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Unbound Granular
6.0
1.0
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