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CBR to Resilient Modulus Subgrade Calculator engineering
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CBR to Resilient Modulus Subgrade Calculator

Highway geotechnics & foundation engineering: Convert soil California Bearing Ratio (CBR) into resilient modulus ($M_R$) across standard empirical models (AASHTO, NCHRP, Powell) and evaluate subgrade strain.

Subgrade Soil Properties

Standard soaked penetration CBR
Empirical conversion agency rule
Subgrade soil taxonomy
Transmitted vertical tire pressure at top of subgrade
Seasonal environmental moisture
Rigid pavement foundation support

Resilient Modulus & Subgrade Properties

Resilient Modulus (M_R)
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Modulus of Subgrade Reaction (k)
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NCHRP 1-37A MEPDG Modulus
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2555 · CBR^0.64 (psi)
Heukelom & Klomp Modulus
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1500 · CBR (psi)
Vertical Compressive Microstrain
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ε_v = σ_z / M_R
Subgrade Quality Category
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Foundation bearing rating

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Frequently Asked Questions

Why does M_R = 1500 · CBR fail for gravelly soils?

The Heukelom & Klomp linear relation was calibrated on cohesive Dutch silts and clays. Extrapolating to a crushed aggregate with CBR = 80 would predict MR = 120,000 psi, which is physically impossible (unbound granular materials rarely exceed 35,000 to 50,000 psi due to confinement limits).

What is the physical definition of Resilient Modulus MR?

Resilient modulus is defined as repeated deviatoric axial stress divided by recoverable elastic axial strain: MR = σ_d / ε_recoverable, determined via triaxial cyclic laboratory loading (AASHTO T 307).

How does seasonal moisture alter subgrade MR?

During spring thaw or wet seasons, subgrade degree of saturation increases. Excess pore water pressure reduces effective stress, causing subgrade resilient modulus to drop by 40% to 60%, precipitating rapid alligator cracking in thin pavements.