Purdue University
School of Civil Engineering
CE 361 Introduction to Transportation Engineering

Homework 7

PAVEMENT DESIGN


Posted: Sat. 3 November 2001
Due: Wed. 14 November 2001

Dear Consultant:

The State DOT is about to begin the reconstruction of SR535. Because it runs through Mythaca County, our staff wants to make sure that the pavement design is adequate for the traffic that is expected to use SR535 during the next 20 years.

Note: As in previous HWs, you may submit this HW as a member of a group formed by the mutual consent of no more than four CE361 students. If this HW is submitted by a group, the top sheet of the material submitted must bear the signature of each group member. Each member of a group that submits HW7 in this way will receive the same grade.


  1. Review of Course Notes Chapter 8 (Highway Pavement Design).

  2. (15 points) ESAL Calculations. Axle frequency data for a "typical week" in the design lane of SR535 are contained in Table 1. The expected annual growth rate for 2K and 6K axles is 2.2 percent. For the heavier axles in Table 1, the growth rate is 2.9 percent. Complete the entries in Table 1 and compute the 20-year Total Design Life ESALs for the design lane on SR535. Use the fourth-power Equations 8.1 and 8.2 to calculate the individual axle ESALs that are called Load Equivalency Factors (LEF) in Table 1. Note: Regardless of the value you compute in this problem, use Total Design Life ESALs = 31,300,000 in the problems below.

  3. (20 points) Rigid Pavement Design. Determine the slab thickness for the design lane on SR535 using the data listed in Table 2 below and the AASHTO rigid pavement design method described in CNotes Section 8.15. Use a copy of "Materials" and "Highway" portions of the rigid pavement design chart in CNotes Figures 8.22 and 8.23 to do your design. Submit these copies with your assignment.

    Table 2. Data for Rigid Pavement Design
    C(d) = 1.0 k = 97 pci R = 95%
    E(c) = 5.7 x 10**6 p(i) or PSI(o) = 4.2 S'(c) = 682 psi
    J = 3.2 p(t) or PSI(t) = 2.5 S(o) = 0.35

  4. (20 points) Flexible Pavement Design. Determine the Design Structural Numbers SN(3), SN(2), and SN(1) for the design lane of SR535. Use the data listed in Tables 3 and 4, and the AASHTO flexible pavement design method described in CNotes Section 8.10. Use an enlarged copy of the design chart in CNotes Figure 8.17 and submit it with your assignment. Do not carry out the layer design (CNotes Section 7.10) until the next problem.

    Table 3. Data for Flexible Pavement Design
    MR = 5500 for subgrade p(i) = 4.2 p(t) = 2.5
    R = 90% S(0) = 0.30

  5. Layer Design and Cost Analysis. Determine the least cost flexible pavement design per lane mile in the design lane on SR535. The lane is 12 feet wide. The subgrade soil extends ten feet below the surface, so that drainage is not a factor in the design, i.e., m(i) = 1.0. Table 4 below indicates the materials that you must use. This problem is best done by setting up a spreadsheet and determining the costs per lane mile for various layer designs. Such a spreadsheet can be seen here. Your design alternatives (and their associated costs) should include ...
    Table 4. Data for Layer Design and Cost Analysis
    Material Layer a(i) M(R) Specific
    Gravity
    Unit Cost
    (delivered)
    Hot Asphaltic Concrete Top/Wearing 0.30 --- 2.56 $67.11/Ton
    Emulsion/aggregate-bituminous Base 0.13 28,000 2.70 $15.79/Ton
    Coarse Aggregate Subbase 0.11 16,000 2.68 $9.11/Ton

    Note 4a: The subgrade soil has MR = 5500 ksi.
    Note 4b: Excavation costs are $6.48 per cubic yard of soil displaced.

  6. A problem on Pavement Management Systems will not be added.