Table 10. Modulus equations used for Mn/ROAD test section simulations.
A. Frozen condition
Std.
lb/in.2)*
r2
Material
Equation (Mr in
error
n
Clay subgrade sample 1206 (565)
Mr = 1, 049 f (wu- g )-2.344
Frozen
207
0.99
0.275
Mr = 1, 052 f (wu- v )-2.929
Frozen
207
0.99
0.262
Clay subgrade sample 1232 (566)
Mr = 846 f (wu- g )-2.161
Frozen
244
0.98
0.423
Mr = 848 f (wu- v )-2.633
Frozen
244
0.98
0.394
Class 3 special "stockpile"
Mr = 5, 488 f (wu- g )-1.076
Frozen
210
0.97
0.507
Mr = 5, 542 f (wu- v )-1.249
Frozen
186
0.97
0.467
Class 4 special (taxiway A subbase)
Mr = 1, 813 f (wu- g )-1.733
Frozen
85
0.93
0.885
Mr = 1, 652 f (wu- v )-2.813
Frozen
69
0.91
0.916
Class 5 special (dense graded stone)
Mr = 8, 695 f (wu-g )-1.2814
Frozen
28
0.95
0.511
Mr = 9, 245 f (wu- v )-1.489
Frozen
28
0.97
0.432
Class 6 special "stockpile"
Mr = 19, 427 f (wu-g )-0.795
Frozen
260
0.98
0.338
Mr = 19, 505 f (wu- v )-0.897
Frozen
260
0.98
0.341
Notes:
n
=
number of test points
r2
=
coefficient of determination
Mr
=
resilient modulus
σ = stress (lb/in.2)
f(S)
S/ So
=
f1(σ) = J1/σo
S
=
degree of saturation (%)
f2(σ) = (J2/τoct/σo
So
=
1.0 %
γ /γ
f3(σ) = τoct/σo
f(γ)
=
d o
γd
σo = 1.0 lb/in.2
dry density (Mg/m3)
=
γo
1.0 Mg/m3
J1 = bulk stress (lb/in.2)
=
J1 = 3 σ3+ σd
f(wug)
wug/wo
=
J2 = 2nd stress invariant (lb/in.2)
wug
=
gravimetric unfrozen water content
J2 = 3σ32 + 2 σ3σd
wo
=
unit water content (1.0)
τoct = octahedral shear stress (lb/in.2)
f(wuv)
wuv/wo
=
(
)
τoct =
2 / 3 σd
wuv
=
volumetric unfrozen water content
*Output from equations can be converted to kilopascals by multiplying by 6.895.
Saturated hydraulic conductivities were set at
The modulus equations used in TRANSFORM
the laboratory-determined value, except in the case
for the Phase 1 modeling are the normalized gravi-
of the 1206 clay subgrade. In that case, we multi-
metric form shown in Table 10a and the unfrozen
plied the laboratory value by 10 to approximate
form shown in Table 10b. The associated unfro-
the hydraulic behavior after formation of frost-
zen water constants utilized in the frozen form of
induced shrinkage cracks.
the equations are given in Table 11. Development
18
Previous Page
