Subgrade Only
Step 1 — Convert CBR to Resilient Modulus
Assuming a subgrade with a CBR of 3, the subgrade resilient modulus is:
Step 2 — k-Effective Dynamic
With no subbase, En = Ê, there is 0 in. of subbase thickness, the soil's Poisson's Ratio is 0.40, and the effective dynamic k-value is:
Step 3 — Calibration Factor f
Again, with no subbase, En = Ê, there is 0 in. of subbase thickness, and the calibration factor is:
Step 4 — Dynamic and Static k
Dynamic k
130
psi/in.
Static k
65
psi/in.
One Subbase
Adding a 6-inch granular subbase with a modulus of 25,000 psi over the same CBR 3 subgrade with a Poisson's Ratio of 0.40.
Step 1 — Resilient Modulus (same as above)
Step 2 — Equivalent Modulus Ê
For a single subbase layer, Ê equals the layer modulus directly:
Step 3 — k-Effective Dynamic
With h = 6 in., En = 5,161 psi, Ê = 25,000 psi:
Step 4 — Calibration Factor f
Step 5 — Dynamic and Static k
Dynamic k
137
psi/in.
Static k
68
psi/in.
Two Subbases
A 6-inch layer at 150,000 psi is added on top of the previous example, giving two subbase layers over the same CBR 3 subgrade.
Step 1 — Resilient Modulus (same as above)
Step 2 — Equivalent Modulus Ê
With two layers above the subgrade (E1 = 150,000 psi, h1 = 6 in.; E2 = 25,000 psi, h2 = 6 in.), the Odemark weighted mean uses E1 as the reference:
Step 3 — k-Effective Dynamic
Total h = 12 in., En = 5,161 psi, Ê = 69,866 psi:
Step 4 — Calibration Factor f
Step 5 — Dynamic and Static k
Dynamic k
176
psi/in.
Static k
88
psi/in.