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AASHTO Subgrade Resilient Modulus (CBR) Calculator

Resilient Modulus (MR) is the primary material property used in mechanistic-empirical flexible pavement design to characterize subgrade soil elastic stiffness under cyclic traffic loading.

Soaked or unsoaked subgrade CBR percentage.

Empirical model relating CBR to elastic resilient modulus.

Anticipated subgrade moisture regime over design life.

Calculated Result
62.1 MPa

Resilient Modulus (MR)

Modulus in PSI

9000 psi

Layer Coefficient a3

0.059

Quality Classification

Fair (Standard Subgrade)

Design CBR

6%

Calculation Breakdown

  1. Subgrade Resilient Modulus CorrelationCBR = 6%; Selected correlation model = aashto_1500; Moisture state = optimum
  2. Calculated Resilient Modulus (M_R)M_R = 62.1 MPa (9000 psi)
  3. AASHTO Structural Layer Coefficient (a3)a_3 = 0.227 · log₁₀(9000) - 0.839 = 0.059

Subgrade Stiffness Indicators

Interactive visualization based on your current inputs

Value
0.023456890CBR (%)MR (MPa)MR / 100 (psi)Layer a3 (x100)MetricValue

What Is the AASHTO Subgrade Resilient Modulus (CBR) Calculator?

Resilient Modulus (MR) is the primary material property used in mechanistic-empirical flexible pavement design to characterize subgrade soil elastic stiffness under cyclic traffic loading.

When laboratory repetitive load triaxial testing (AASHTO T 307) is unavailable, empirical correlations from California Bearing Ratio (CBR) provide standardized design estimates.

This calculator applies AASHTO 1993, Powell (TRL), and CSIR correlation models to compute MR in MPa and psi, moisture derating, and structural layer coefficient a3.

How Does the AASHTO Subgrade Resilient Modulus (CBR) Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

AASHTO Subgrade Resilient Modulus (CBR) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

MR = 1500 · CBR (psi) = 10.34 · CBR (MPa) [for CBR ≤ 10]

Standard AASHTO correlation linking California Bearing Ratio penetration resistance to cyclic elastic resilient modulus.

How to Use the AASHTO Subgrade Resilient Modulus (CBR) Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Standard Clayey Silt Subgrade (CBR = 6%)

Input Values:

californiaBearingRatioCbr:6
correlationFormula:aashto_1500
subgradeMoistureCondition:optimum
Worked Steps: Yields MR = 62.1 MPa (9000 psi), AASHTO layer coefficient a3 = 0.059, classified as Fair Subgrade.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • The linear relation MR = 1500·CBR is specifically recommended for fine-grained soils with soaked CBR ≤ 10%.
  • For coarse granular materials (CBR > 10%), power-law relations prevent overestimating subgrade stiffness.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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