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CBR and subgrade

Intermediate Pavement Design Reviewed 24 Oct 2026 2 min read

The subgrade is the foundation of every road. Its strength decides how thick the pavement above it must be: a weak subgrade needs thick, costly layers; a strong one needs much less. In Indian practice, subgrade strength is described mainly by the California Bearing Ratio (CBR), and in mechanistic design by the resilient modulus derived from it.

The CBR test pushes a 50 mm plunger into compacted soil in a mould at a standard rate and compares the load at 2.5 mm and 5 mm penetration with the load needed on a standard crushed stone. For design, specimens are compacted at the expected field density and moisture and usually soaked for four days to represent the worst wet condition. Typical values range from 2 to 3 percent for soft clays, 5 to 10 for silts and sandy clays, and 15 or more for good granular soils.

Diagram: Indiacon original, not to scale.

Designers choose a design CBR from several tests along the alignment, often a high percentile of values so that most of the road is adequately designed. Where the CBR is very low, options include replacing the top 500 mm with better fill, stabilising with lime or cement, using geosynthetics, or raising the embankment above the water table. The subgrade must be compacted to a high relative density, since its strength in service depends on density and moisture control. In mechanistic design, the resilient modulus is related to CBR by empirical equations, with different forms below and above about 5 percent.

Key formulas
  • CBR = (test load / standard load) × 100; standard loads 13.24 kN at 2.5 mm, 19.96 kN at 5 mm
  • Resilient modulus (IRC 37): MR = 10 × CBR for CBR ≤ 5; MR = 17.6 × CBR^0.64 for CBR > 5 (MPa)
  • Effective CBR for layered subgrades: from charts or modulus combination
Solved example

Problem. A soaked CBR test gives 0.82 kN at 2.5 mm and 1.12 kN at 5 mm. Find the CBR and the subgrade resilient modulus.

  1. At 2.5 mm: 0.82 / 13.24 × 100 = 6.2 percent.
  2. At 5 mm: 1.12 / 19.96 × 100 = 5.6 percent.
  3. Take the higher, 6.2 percent (repeat if 5 mm is consistently higher).
  4. MR = 17.6 × 6.2^0.64 = 17.6 × 3.21 = 56.5 MPa.

Answer. CBR ≈ 6 percent; MR ≈ 56 MPa

Quick quiz

1Why are CBR samples soaked?

To represent the weakest, wet condition in service.

2Name two ways to improve a weak subgrade.

Replacement with better fill, stabilisation, geosynthetics or raising above the water table.

3Which penetration values are used for CBR?

2.5 mm and 5 mm.

Code note
  • IRC:37 (India): Guidelines for the design of flexible pavements.
  • IS 2720 (series) (India): Methods of test for soils: water content, limits, compaction, shear and others, each in its own part.

Clauses and documents to read

  • IS 2720 (Part 16):1987 (laboratory CBR)
  • IRC:37-2018 (subgrade modulus relationship, cited by number)

Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.

References and further reading

Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.

  • E. J. Yoder, M. W. Witczak, Principles of Pavement Design, Wiley, 2nd edition.
  • Y. H. Huang, Pavement Analysis and Design, Pearson, 2nd edition.

Free and official sources

All references for this subject →

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