Repeat Problem 20-19 using the PCA design method, for a pavement containing doweled joints and concrete shoulders. The modulus of rupture of the concrete used is 600 lb/in2.

What will be an ideal response?


First, determine the estimated ESALs:

2-axle (12,000 lb) single unit trucks:

ESAL = 2(0.4)(28.28)(24,000)(365)(0.40)

ESAL = 79.27 × 106

3-axle (16,000 lb) single unit trucks

ESAL = 3(0.1)(28.28)(24,000)(365)(0.40)

ESAL = 29.73 × 106

Subgrade k = 130 lb/in3

For 6 inch untreated subbase, determine effective k from Table 20.22:

k = 140 + [(230 – 140) / 100] × 30 = 167 lb/in3

Assume a slab 7 inches thick with doweled joints and concrete shoulders.

From Table 20.24, obtain equivalent stress values and then interpolate for

effective k,

Equivalent stress = 248 – ((248 – 236) × (17 / 50)) = 243.9

Stress Ratio = 243.9 / 600 = 0.41

From Table 20.27, determine the erosion factor of 2.54

12,000(1.2) = 14,400

16,000(1.2) = 19,200





The 7 inch slab is adequate, check a 6.5 inch slab.

Assume a slab 6.5 inches thick with doweled joints and concrete shoulders. From

Table 20.24, Equivalent stress = 274 – ((274 – 260) × (17 / 50)) = 269.24

Stress Ratio = 269.24 / 600 = 0.45

From Table 20.27, determine the erosion factor of 2.62

12,000(1.2) = 14,400

16,000(1.2) = 19,200



The 6.5 inch slab is inadequate since the allowable ESALs are less than

the expected ESALs.

The 6.5 inch slab is inadequate, use a 7 inch slab depth.

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