Skip to content
BuildNumerics

California Bearing Ratio (CBR) Calculator

CBR = the measured load ÷ the ASTM D1883 standard load × 100: 13.345 kN at 2.5 mm penetration and 20.017 kN at 5.0 mm. A sample carrying 8.5 kN and 11.2 kN gives 63.7% and 56.0%, so the governing CBR is 63.7%. If the 5.0 mm value comes out higher, retest. See the In-Situ Dry Density Calculator.

How it's calculated: CBR (%) = load at 2.5 mm ÷ 13.345 kN × 100 and load at 5.0 mm ÷ 20.017 kN × 100; the 2.5 mm value governs unless a higher 5.0 mm value is confirmed on retest.

Inputs

kN
kN

Result appears here

Fill in the fields and press Calculate.

Formula, calculation, assumptions and sources

CBR at 2.5 mm (%) = Measured load at 2.5 mm ÷ 13.345 kN (ASTM standard load) × 100

CBR at 5.0 mm (%) = Measured load at 5.0 mm ÷ 20.017 kN (ASTM standard load) × 100

Governing CBR = the 2.5 mm value, unless the 5.0 mm value is higher and confirmed on retest (ASTM D1883 §12)

Run the calculation to see each step with your own numbers.

About the California Bearing Ratio (CBR) Calculator

The California Bearing Ratio Calculator turns the load your test specimen resisted at 2.5 mm and 5.0 mm piston penetration into CBR%, by comparing it against ASTM D1883's standard loads for a reference crushed-stone material at those same penetrations. CBR is the primary strength index used in flexible-pavement thickness design (subgrade, subbase and base evaluation) throughout North American and AASHTO practice.

What you enter

  • Load at 2.5 mm (0.1 in) penetration
  • Load at 5.0 mm (0.2 in) penetration

What you get back

  • CBR at 2.5 mm — %
  • CBR at 5.0 mm — %
  • Governing CBR — %. Normally the 2.5 mm value — see the FAQ if the 5.0 mm value comes out higher.

The formula, a worked example, the assumptions behind it and the sources are shown in full below the calculator.

Related calculators

Related articles

Part of the Materials calculators.