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AASHTO Design Example (Rigid Pavements)

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Page 1: 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

AASHTO Design Example

(Rigid Pavements)

Page 2: 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

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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Page 3: 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

Design ESALs

3

n

f1 g 1

ESAL 365 ADTT T D Lg

Page 4: 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

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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Page 5: 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

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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Page 6: 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

Design Equation

6

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

Page 7: 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

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

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

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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Page 10: 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

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

Page 11: 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

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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Page 12: 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

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 13: 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

Typical Concrete Properties

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8.4c cS f psi

6.7t cf f psi

57,000c cE f psi

Page 14: 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

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

Drainage Quality

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Quality Water Removed Within

Excellent 2 hoursGood 1 dayFair 1 weekPoor 1 month

Very Poor No drainage

Page 16: 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

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

Page 17: 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

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.

Page 18: 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

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

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Page 20: 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

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Unbound Granular

6.0

1.0

Page 21: 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

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Page 22: 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

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Page 23: 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

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