Reference

From a classified count to design traffic in msa

A flexible pavement is designed for one number: the cumulative standard axles it will carry over its design period. A traffic count supplies one input to that number. Here are the formula, the guideline’s own example, what the count must contain, and what no count can supply.

The equation

Equation 4.5, term by term

IRC:37-2018 is the current edition on IRC’s publications list of 28 September 2026. Its standard axle is an 80 kN single axle with dual wheels; design traffic is the number of those the pavement must carry, in million standard axles (msa).

The terms of IRC:37-2018 equation 4.5 and where each comes from
TermWhat it isFrom the count?
ACommercial vehicles per day in the year construction is completed: directional on a divided carriageway, two-way otherwiseYes, as P, carried forward by eq. 4.6
DLateral distribution factor, set by the carriagewayNo
FVehicle damage factor: standard axles per commercial vehicleNo: an axle load survey
nDesign period: 20 years for National Highways, State Highways and Urban Roads; 15 years for other roads; above 300 msa, long-life or at least 30 yearsNo
rAnnual growth rate, set per category of commercial vehicle by IRC:108, and at least 5%Not from one count
Lateral distribution factor D by carriageway, IRC:37-2018 clause 4.5
CarriagewayDOf
Single-lane1Both directions, in full
Intermediate lane, 5.5 m0.75Two-way total
Two-lane two-way0.50Two-way total
Four-lane single carriageway0.40Two-way total
Dual two-lane0.75Each direction
Dual three-lane0.60Each direction
Dual four-lane0.45Each direction

Worked example

The guideline’s own example: 131 msa

Annex II.3 designs a four-lane divided carriageway carrying 5,000 commercial vehicles a day, two-way, in the year construction is completed, growing at 6% for 20 years, with a VDF of 5.2 in both directions. These are the code’s illustrative inputs, not survey data.

Built in stages, the first 10 years carry 46.9 msa (printed 46.9); because the bituminous layer must keep 40% of its life at overlay, stage one is designed for 46.9 ÷ 0.60 = 78 msa.

  1. 1Directional traffic5,000 × 0.5 = 2,500 (the example assumes an even split)
  2. 2DistributionD = 0.75 for each direction of a dual two-lane carriageway
  3. 3Growth[(1 + 0.06)^20 − 1] ÷ 0.06 × 365 = 13,426.7
  4. 4First-year axles per day2,500 × 0.75 × 5.2 = 9,750
  5. 5Design traffic13,426.7 × 9,750 = 130.9 million; IRC prints 131 msa

What the count must contain

Five things the count has to get right

Every one of these changes A, and N is proportional to A: on the example, a count 5% low gives 130.9 × 0.95 = 124.4 msa.

Seven days, 24 hours
IRC:37-2018 bases present traffic on “the seven-day 24-hour traffic volume count”. It does not ask for AADT.
Each direction separately
On a divided carriageway A is directional; a count replaces the example’s even split with the measured one. Where axle loads differ by direction, VDF is evaluated for each.
Commercial vehicles, in the groups the axle load survey uses
Growth rates are set for each category of commercial vehicle, and MoRTH’s sample DPR reports VDF for LCV, 2-axle, 3-axle, MAV and bus. Equation 4.5 is worked per group and added.
The date
The count gives P, and equation 4.6 carries it forward x years to the year construction ends.
The two-way total
The indicative VDF table is read on two-way commercial vehicles per day, so the band a road falls in comes from the two directions added.

Classes

Which of our 19 classes are commercial vehicles

IRC:37 draws the line by weight: “Only the commercial vehicles having gross vehicle weight of 3 tonnes or more are considered for the structural design of pavements.” It names no vehicle types. A camera sees shape and axles, not weight, so the mapping below is ours; state the judgement rows as assumptions in the design report. The nearest IRC list, in IRC:SP:72-2015 for low-volume rural roads, names heavy trucks, full-sized buses, tractor-trailers, mini buses and pick-up vans.

Which Playcraft classes count as commercial vehicles for IRC:37-2018
ClassCommercial?Basis
BusYesIRC:SP:72-2015 lists full-sized buses; MoRTH’s sample DPR has a bus VDF
Truck 2-Axle, Truck 3-AxleYesVDF groups “2-axle” and “3-axle” in MoRTH’s sample DPR
Truck 4-Axle, Truck 5-Axle, Truck 6-Axle, Truck MAVYesVDF group “MAV”
Truck ArticulatedYesGrouped by its axle count — our judgement
LCVJudgementMoRTH’s sample DPR has an LCV VDF; the class name carries no weight
Mini LCVJudgementSP:72 counts pick-up vans; a camera cannot weigh one
Mini BusJudgementSP:72 lists mini buses
Tractor TrolleyJudgementSP:72 lists tractor-trailers
TractorJudgementSP:72 names tractor-trailers, not tractors alone
OtherCheck the videoA residual class: look at the verification video
Two Wheeler, Three Wheeler, Car / Jeep / Van, Cycle, Cycle RickshawNoSP:72: bicycles and motor cycles are “of little consequence”; the rest are light passenger vehicles — our judgement

The judgement is not a rounding error

In the 35-minute run whose output we publish, the clear classes counted 126 commercial vehicles. Adding the judgement classes gives 303, which is 303 ÷ 126 = 2.4 times as many.

That is 35 minutes of software output, not a seven-day count, so no msa is computed from it. It shows why the mapping belongs in the design report.

What the count cannot supply

VDF needs a weigh pad, not a camera

IRC:37-2018 arrives at VDF by axle load surveys on existing roads for at least 24 hours in each direction, on vehicles chosen at random, loaded or empty. Each axle’s load is converted by a fourth power over a reference load: 65 kN for a single axle with single wheels, 80 kN with dual wheels, 148 kN for a tandem and 224 kN for a tridem.

MoRTH’s DPR terms of reference ask for two normal days in both directions, normally on axle load pads, with a VDF for each truck type, and add a floor: “if the calculated VDF is found to be below the national average, then national average shall be used”. They do not say where that national average is published, and we did not find it.

The indicative table is a fallback with two conditions, both required: “Where information on the axle loads is not available and the proportion of heavy vehicles using the road is small”. It is not a default for a national highway.

Table 4.2 · Indicative VDF, by two-way commercial vehicles per day
IRC:37-2018 Table 4.2, indicative VDF values by traffic and terrain
CV/dayRolling / plainHilly
0–1501.70.6
150–1,5003.91.7
More than 1,5005.02.8
Table 4.1 · Minimum share of commercial traffic to weigh
IRC:37-2018 Table 4.1, minimum sample size for an axle load survey
Below 3,000 CV/day20%
3,000 to 6,000 CV/day15%, at least 600 vehicles
Above 6,000 CV/day10%, at least 900 vehicles

Older numbers

Check which code a number came from

IRC:81-1997, the Benkelman-beam overlay guideline, is still listed, and its traffic numbers differ from IRC:37-2018’s for new pavements. A figure carried over from an overlay design will not match.

The 20 msa floor is gone too. Until 1 February 2020, IRC’s two-, four- and six-laning manuals said a flexible pavement’s design traffic “shall not be less than 20 msa”; the amendments replaced that with IRC:37-2018’s design periods. Service and slip roads stay at ten million standard axles under the four-laning manual.

Traffic numbers in IRC:37-2018 and IRC:81-1997 compared
IRC:37-2018IRC:81-1997
Indicative VDF, plain, above 1,500 CV/day5.04.5
Indicative VDF, plain, 150–1,5003.93.5
Two-lane two-way distribution0.500.75

Where Playcraft fits

What we ship, what we build on demand, what we refuse

Shipped: Playcraft ATCC counts traffic from recorded video by direction, in 15-minute intervals, with a per-vehicle log and an annotated verification video. Its schedule separates 2-, 3-, 4-, 5- and 6-axle trucks and MAV: that is P, by direction and by class.

What our accuracy covers. We publish 95.0% by volume and 92.1% by weighted class against 16,560 hand-counted vehicles, 60% of them two-wheelers. That says little about trucks: of the 6 classes with a published figure, bus (92.7% on 150) is the only clearly commercial one, and the other 13 classes, every truck class among them, had 189 hand-counted vehicles between them. Where commercial vehicles decide the design, check those classes on your own footage.

Built on demand: cumulative msa is not part of the shipped product; we build it on demand from your count, with VDFs from your axle load survey or Table 4.2 where its conditions hold.

Refused: we do not run axle load surveys. See also AADT from a count and the traffic surveys a DPR asks for.

Sources

Next step

See it run on a call

  • The tool running on footage you choose, or ours
  • Every output file opened and explained
  • A plain answer on fit before commercials