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.
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.
A subgrade sample: 8.5 kN load at 2.5 mm penetration, 11.2 kN at 5.0 mm.
CBR @ 2.5 mm = 8.5 ÷ 13.345 × 100 = 63.7%
CBR @ 5.0 mm = 11.2 ÷ 20.017 × 100 = 56.0%
Governing CBR = 63.7% (2.5 mm value; no retest flag since 5.0 mm is lower)
- Standard loads are ASTM D1883's reference values: 1,000 psi (3,000 lbf ≈ 13.345 kN) at 2.5 mm penetration and 1,500 psi (4,500 lbf ≈ 20.017 kN) at 5.0 mm, on the standard 3 in² piston.
- The specimen was tested at the moisture and density condition relevant to the design case (as-compacted, or after the standard 4-day soak for a soaked CBR) — the calculator does not distinguish soaked from unsoaked; that's a test-procedure choice made before this step.
- If the 5.0 mm CBR exceeds the 2.5 mm CBR, ASTM D1883 calls for the test to be repeated; if confirmed, the 5.0 mm value is used instead — this calculator reports the 2.5 mm value as governing by default and flags the condition.
- What CBR value counts as a 'good' subgrade?
- As a rough general guide, under 3% is a very poor subgrade, 3–7% poor to fair, 7–20% fair to good, and above 20% good to excellent — but the actual design CBR used for pavement thickness comes from your governing agency's pavement design method (e.g. AASHTO 1993 Guide), not a fixed cutoff.
- Why would CBR at 5.0 mm come out higher than at 2.5 mm?
- It usually signals an irregularity in the load-penetration curve — a surface bump, seating error, or a spot of dense material right at the piston. ASTM D1883 says to repeat the test if this happens; if the second test confirms it, use the 5.0 mm value as the reported CBR instead.
- Soaked or unsoaked CBR — does it matter here?
- The calculator's math is identical either way — soaking (or not) is a decision made in how you prepare and condition the specimen before testing, not in how the CBR percentage itself is calculated from the load readings.
- My result differs slightly from another CBR calculator — why?
- Some calculators use the metric-derived standard loads common in IS-code references (1,370 kgf and 2,055 kgf, ≈13.44 kN and ≈20.14 kN) instead of ASTM D1883's imperial-derived figures (13.345 kN and 20.017 kN from 1,000/1,500 psi over a 3 in² piston) used here. The two conventions differ by well under 1% — both are legitimate, just rounded from a different base unit.
- How do you calculate the CBR value?
- Divide the load at each penetration by its standard load and multiply by 100. 8.5 kN at 2.5 mm over 13.345 kN is 63.7%; 11.2 kN at 5.0 mm over 20.017 kN is 56.0%, so 63.7% governs.
- What are the standard loads in a CBR test?
- The page uses ASTM D1883's reference values on a 3 in² piston: 3,000 lbf (about 13.345 kN) at 2.5 mm penetration and 4,500 lbf (about 20.017 kN) at 5.0 mm.
Test method, standard loads & formula
ASTM D1883, 'Standard Test Method for California Bearing Ratio (CBR) of Laboratory-Compacted Soils' — standard loads of 1,000 psi (3,000 lbf ≈ 13.345 kN) at 2.5 mm and 1,500 psi (4,500 lbf ≈ 20.017 kN) at 5.0 mm, on the standard 3 in² piston. AASHTO T193 is the equivalent AASHTO standard for the same test.
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.
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- In-Situ Dry Density Calculator — Field bulk density, dry density and percent compaction of compacted soil from a drive-cylinder (core cutter) sample.
- Road Base Calculator — Road base / crusher-run quantity for a sub-base layer.
Related articles
- What Is a CBR Test and When Is It Used? — The California Bearing Ratio test is run whenever a road, driveway or pavement's design needs to know how strong the underlying soil actually is.
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