Explanation Given information: Following is the given information: Resilient or elastic strain calculated by the structural response model at the mid-depth of each HMA sublayer, in./in., ε r ( H M A ) = 45 × 10 − 6 Number of axle load repetitions, n = 2.0 × 10 4 Mixture field calibration constants: β 1 r = 0.99 β 2 r = 0.98 β 3 = 0.95 Calculation: For the calculation of the rut depth in the HMA layer, we have the following formula: Δ p ( H M A ) = ε p ( H M A ) h ( H M A ) = β 1 r k z ε r ( H M A ) 10 k 1 r n k 2 r T k 3 r β 3 r Where, Δ p ( H M A ) = accumulated permanent or plastic vertical deformation in the HMAlayer/sublayer (in.) ε p ( H M A ) = accumulated permanent or plastic axial strain in the HMA layer/sublayer (in./in.) ε r ( H M A ) = resilient or elastic strain calculated by the structural response modelat the mid-depth of each HMA sublayer (in./in.) h ( H M A ) = thickness of the HMA layer/sublayer, (in.) n = number of axle load repetitions T = mix or pavement temperature, (°F) K z = depth confinement factor k 1 r , k 2 r , k 3 r = global field calibration parameters (from the NCHRP I-40Drecalibration) k 1 r = − 3.35412 k 2 r = 0.4791 k 3 r = 1.5606 β 1 r , β 2 r , β 3 r = local and or mixture field calibration constants; for the global calibration, these constants were all set to 1.0 k z = ( C 1 + C D 2 ) 0.328196 D C 1 = − 0.1039 ( H M A ) 2 + 2.4868 H H M A − 17.342 C 2 = 0.01712 ( H H M A ) 2 − 1.7331 H H M A + 27.428 D = depth below the surface, (in.) H H M A = total HMA thickness, (in.) Calculating the following values, we have C 1 = − 0.1039 ( H M A ) 2 + 2.4868 H H M A − 17.342 C 1 = − 0.1039 ( 4 ) 2 + ( 2.4868 × 4 ) − 17.342 C 1 = − 1.6624 + 9.9472 − 17.342 C 1 = − 9.0572 And the value of C 2 , can be calculated as follows: C 2 = 0.01712 ( H H M A ) 2 − 1.7331 H H M A + 27.428 C 2 = 0

MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)

5th Edition

ISBN: 9781305581159

Author: Nicholas J. Garber; Lester A. Hoel

Publisher: Cengage Learning US

See similar textbooks

Concept explainers

Design of pavements

Pavement is a structure that is made up of different layers such as sub-base course layer, base course layer, binder course, and a surface course formed with different materials such as gravel, above the subgrade soil constructed to act as a path or carr…

Question

Chapter 19, Problem 19P

To determine

The expected rut depth of the fourth layer.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19, Problem 18P

Chapter 20, Problem 1P

Students have asked these similar questions

Project management question

Q5/B with Explantion pls

need help with this. please explain

Chapter 19 Solutions

MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)

Ch. 19 - Prob. 1P Ch. 19 - Prob. 2P Ch. 19 - Discuss the process of lime stabilization, and...Ch. 19 - Prob. 4P Ch. 19 - Prob. 5P Ch. 19 - Prob. 6P Ch. 19 - Prob. 7P Ch. 19 - Prob. 8P Ch. 19 - Prob. 9P Ch. 19 - Prob. 10P

Ch. 19 - Prob. 11P Ch. 19 - Prob. 12P Ch. 19 - Repeat Problem 19-7 using two different depths of...Ch. 19 - Prob. 14P Ch. 19 - Prob. 15P Ch. 19 - Prob. 16P Ch. 19 - Prob. 17P Ch. 19 - Prob. 18P Ch. 19 - Prob. 19P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.