Understanding the crawl ratio calculator — concept and principle
This calculator works out the crawl ratio of an off-road vehicle, the overall gear reduction in its lowest gear, and shows the resulting crawl speed, wheel rpm and wheel torque. Off-roaders use it when choosing axle gears, transfer cases or tyre sizes for rock crawling and steep descents.
How it is calculated
Crawl ratio = first gear ratio × transfer-case low ratio × axle ratio
- Wheel rpm = engine rpm ÷ crawl ratio.
- Crawl speed (km/h) = wheel rpm × π × tyre diameter (in) × 0.0254 × 60 ÷ 1000; mph = km/h ÷ 1.609344.
- Wheel torque (no losses) = engine torque × crawl ratio.
The principle
Gears in series multiply. Each stage turns a fast, weak input into a slower, stronger output by its ratio, so the overall reduction is the product of all of them. A high crawl ratio lets the engine run at an easy speed while the wheels creep, giving fine control over rocks and strong engine braking downhill. Torque is multiplied by the same ratio, minus driveline losses. The tyre turns wheel rpm into road speed: one revolution moves the vehicle one circumference, π × diameter. Larger tyres therefore raise crawl speed and lower wheel force, which is why bigger tyres are often paired with lower (numerically higher) axle gears.
Worked example
Default inputs: first gear 4.0, low range 2.72, axle 4.10, 33 in tyres, 1,000 rpm, 300 N·m.
- Crawl ratio = 4.0 × 2.72 × 4.10 = 44.6, written 44.6:1.
- Wheel rpm = 1,000 ÷ 44.608 = 22.4.
- Circumference = π × 33 × 0.0254 = 2.633 m.
- Speed = 22.42 × 2.633 × 60 ÷ 1000 = 3.54 km/h = 2.2 mph.
- Wheel torque = 300 × 44.608 = 13,382 N·m, before losses.
| First gear ratio | Crawl ratio (overall low gear) |
|---|---|
| 1 | 11.2 |
| 2 | 22.3 |
| 3 | 33.5 |
| 4 | 44.6 |
| 5 | 55.8 |
| 6 | 66.9 |
| 8 | 89.2 |
How to read the result
A walking-pace crawl speed of about 2–3 km/h at idle gives good control. The wheel torque is shared by all driven wheels and is reduced by driveline losses, often around 10–20%.
Common mistakes
- Adding ratios instead of multiplying them.
- Using the tyre's nominal size when the real loaded diameter is smaller.
- Forgetting that the automatic transmission's torque converter adds slip and multiplication.
- Treating the no-loss wheel torque as usable traction; grip usually limits first.
Frequently asked questions
How do bigger tyres change the crawl ratio?
They lower the effective ratio in proportion to their diameter, raising speed and reducing wheel force.
How do I raise my crawl ratio?
Fit lower axle gears, a lower transfer-case range or a gearbox with a lower first gear.
Sources: Gear-train reduction: overall ratio of gears in series is the product of the individual ratios (e.g. R. L. Norton, Design of Machinery) · NIST Special Publication 811 (2008), Appendix B (1 in = 25.4 mm; 1 mile = 1.609344 km)