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Traffic in standard axles

Intermediate Pavement Design Reviewed 24 Oct 2026 2 min read

Pavements are damaged by axle loads, not by vehicles as a whole, and heavy axles do vastly more damage than light ones. The AASHO road test in the 1950s showed that damage rises roughly with the fourth power of axle load. So a 16 tonne single axle causes about sixteen times the damage of an 8 tonne one. To design for a mixed stream of cars, buses and trucks, all traffic is converted into an equivalent number of standard axles, usually 80 kN (8.16 t) single axles with dual wheels.

The vehicle damage factor (VDF) is the number of standard axles per commercial vehicle, found by axle load surveys at weigh-in-motion sites or portable pads. Only commercial vehicles above about 3 tonnes laden are counted, because cars contribute negligibly. Overloading raises VDF sharply. A lane distribution factor allots the traffic to the design lane: for a two-lane single carriageway road it is a large share, for divided multi-lane roads less.

Diagram: Indiacon original, not to scale.

Design traffic over the design life is the cumulative number of standard axles, in million standard axles (msa). It grows each year with the traffic growth rate, so the calculation uses a compound growth sum. Design lives are typically 15 years or more for flexible pavements on national highways and 30 years for concrete pavements, with stage construction possible on low-volume roads.

Key formulas
  • Fourth power law: damage factor = (axle load / standard load)⁴
  • Cumulative standard axles: N = 365 × A × [(1 + r)ⁿ − 1] / r × D × F
  • A = commercial vehicles per day at opening; r = growth rate; n = design life; D = lane distribution; F = VDF
Solved example

Problem. A two-lane road opens with 2 400 commercial vehicles per day (both directions), growing at 5 percent. VDF = 3.5, lane distribution factor 0.5, design life 15 years. Find the design traffic in msa.

  1. Growth factor = (1.05¹⁵ − 1) / 0.05 = (2.0789 − 1) / 0.05 = 21.58.
  2. N = 365 × 2 400 × 21.58 × 0.5 × 3.5.
  3. = 365 × 2 400 = 876 000; × 21.58 = 18.90 × 10⁶; × 1.75 = 33.1 × 10⁶.

Answer. About 33 msa

Quick quiz

1Damage of a 12 t axle relative to an 8 t axle?

(12/8)⁴ ≈ 5.1 times.

2Why are cars ignored in pavement traffic?

Their axle loads cause negligible damage.

3What does VDF stand for?

Vehicle damage factor: standard axles per commercial vehicle.

Code note
  • IRC:37 (India): Guidelines for the design of flexible pavements.

Clauses and documents to read

  • IRC:37-2018 (design traffic computation, 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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