Repeat Problem 19-14 with the subgrade Mr values for each month from January through December being 18,000, 18,000, 12,000, 8000, 8000, 9000, 9000, 9000, 9500, 9500, 12,000, and 20,000 lb/in2, respectively. The pavement structure will be exposed to moisture levels approaching saturation for 20% of the time, and it will take about 4 weeks for drainage of water from the pavement. Use untreated sandy gravel with Mr of 15 × 103 lbs/in2 for subbase and untreated granular material with Mr of 28 × 103 lbs/in2 for the base course.
What will be an ideal response?
First determine the relative damage each month.
Using Figure 19.6 or the following equation and table:
Average uf = ?uf / n = 0.704/12 = 0.0587
Roadbed soil, Mr = 10800 lb/in2
From Problem 19-14, ?PSI = 1.7
Using Figure 19.10, SN = 3.4
Determine the structural layer coefficient for each layer:
From Figure 19.5, EAC = 4.5 × 105 (asphalt concrete, from Problem 20-14)
a1 = 0.44
From Figure 19.4, Mr = 28 × 103 (untreated gravel base)
a2 = 0.13
From Figure 19.3, Mr = 15 × 103 (sandy gravel subbase)
a3 = 0.11
Find layer thicknesses, starting with surface course:
SN of surface course is dependent on base course Mr, therefore enter Figure 19.10
with Mr = 28 × 103 SN = 2.5
D1*= 2.5/0.44 = 5.68 in. Use 6 in.
SN1*= a1D1* = 0.44(6) = 2.64
Repeating this procedure for the base course:
Mr= 1.5 × 104 (Subbase)
From Figure 19.10, SN = 3.2
D2* = (3.2 – 2.64) / [(0.13)(0.7)] = 6.15 in. Use 6.5 in.
SN2* = (a2)(m2)(D2*) + SN1* = (0.13)(0.7)(6.5) + 2.64 = 3.23
D3* = (3.6 – 3.23) / [(0.11)(0.7)] = 7.4 in. Use 7.5 in.
Check design:
SN = 0.44(6) + (0.13)(0.7)(6.5) + (0.11)(0.7)(7.5) = 3.81 (which is greater
than SN of 3.4), so the design is satisfactory
The pavement will consist of 6 in. of asphalt concrete surface, 6.5 in. of untreated
gravel base, and 7.5 in. of sandy gravel subbase.
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