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1. A simple rational approach for temperature correction of deflection basins Denis St-Laurent
Transports Québec
2. Contents Objective
Background
Approach
Verification of the approach
Conclusion I will define the objective,
Briefly talk about the backgroud concerning this problem
Explain the approach with all the necessary details (everybody will be able to apply it after that)
Show some validation exercise of the approach (including field verification and sensitivity analysis)
And concludeI will define the objective,
Briefly talk about the backgroud concerning this problem
Explain the approach with all the necessary details (everybody will be able to apply it after that)
Show some validation exercise of the approach (including field verification and sensitivity analysis)
And conclude
3. Objective Remove temperature effects on measured deflection basins.
4. Background Surface deflections depends from
Loading conditions
Distance from load application
Pavement properties
Layer ticknesses
Effective modulus of each layers
Type of material and rheology
Condition of the material
Stress-strain level
Temperature
environment conditions, etc.
Every body knows that ...Every body knows that ...
5. Background Temperature effects on surface deflections
mainly due to temperature effect on the Asphalt modulus
other, less important, factors also exists
effects on underlying layers ex: change in the granular modulus due to a different asphalt modulus (stress-dependency)
6. History of the presented approach First developped in 1993-94,home made computer program for DOS
7. Why a customized approach ? Deflection correction formula in the litterature usually apply only to the center deflection « do »
AASHTO design guide (1986-93)
Kim and al. (1994)...
8. DefinitionCorrection factors Asphalt modulus
CFE = EAC (at Tref) EAC (at Tmeasured)
Deflections
CFD = D (at Tref) D (at Tmeasured)
A similar ratio is applied (a ratio of modulus or a ration of deflectionsA similar ratio is applied (a ratio of modulus or a ration of deflections
9. Reasoning of the approach
Temperature-DEFLECTION relations
more complex than
Temperature-MODULUS relations
10. Reasoning of the approach
Theoretical solutions exist to predict deflections from layer moduli (and other parameters)
11. Procedure for Deflection Correction Factor (CFD)
12. E1: Asphalt modulus equation
13. E2: Boussinesq approach
14. G. Swift ’s (1972) « empirical equation »:
Layered model (2 layers)
15. Model parameters Deflection basin : Def ? E2
H1
Temperature (measure & reference)
AC modulus-temperature relation:
A, B, etc...
16. Verification Field verification (4 sections in 1996)
Sensitivity analysis
and comparison with LTPP data:? Report FHWA-RD-98-085 from Lukanen, Stubstad and Briggs (2000)
17. Field verification (Road 269, H1=83mm) Thin asphalt => Only the 2 first sensors are affected by temperatureThin asphalt => Only the 2 first sensors are affected by temperature
18. Field verification (Road 269, H1=83mm)
19. Field verification (Road 269, H1=50+150 mm) Thicker asphalt: The temperature effect is visible at at larger distance from loadThicker asphalt: The temperature effect is visible at at larger distance from load
20. Field verification (Road 269, H1=50+150 mm)
21. Pay attention to the direction of the arrow: Knowing that we have the neutral line where CFD=1 (no correction at 20°C), here we are going toward this line when we increase the sensor distance. Inverselly, this means that the more your are close from the load; bigger is the need for a temperature correctionPay attention to the direction of the arrow: Knowing that we have the neutral line where CFD=1 (no correction at 20°C), here we are going toward this line when we increase the sensor distance. Inverselly, this means that the more your are close from the load; bigger is the need for a temperature correction
22. Effect of pavement thickness Here we have the inverse phenomenon when looking at the pavement thickness.
We are going away from the neutral line: The thicker is the asphalt, the bigger is the need for a correction factorHere we have the inverse phenomenon when looking at the pavement thickness.
We are going away from the neutral line: The thicker is the asphalt, the bigger is the need for a correction factor
23. Effect of bitumen viscosity
24. Effect of subgrade stiffness
25. Conclusion Simple version seems to gives reasonable precision
accurate temperature measurement is needed
Simplicity of programmation
Low computation time
Allow Sensitivity analysis
26. Conclusion Flexibility
Sensor positioning
Loading conditions
Stiffness of subgrade
Asphalt thickness and behaviour
Evolutivity
Allow replacement of mathematical equations
May add layers or add stress sensitivity
27. LIMITATION Small errors on deflection values may lead to large errors in a set of backcalculated modulus
NEVER BACKCALCULATE LAYER MODULUS FROM A CORRECTED DEFL. BASIN…
Corrected basins are intended for direct interpretation of deflection basins
(DMD, SCI, AREA, etc.)
28. Example of chart for direct interpretation of corrected deflection data