Calculate Tire Combination - Tractor 6140M

The size ratio of the front wheels to the rear wheels is precisely determined in order to produce a positive front wheel lead of between 1.5 and 4%. Otherwise the tires will become deformed or suffer undue wear. To ascertain the correct ratio when changing tires, proceed as follows:

Ascertain tractor data:

Also see illustration in this section.

  1. The transmission ratio of the differential gear pair is “I3”. These values are displayed on the product information plate on the left side of the radiator. The following pairs are possible:

    Ratio of Differential ..............

    “I3”

    Transmission

    SRI

    Gear pair

    		  

    SyncroPlus™/PowrReverser™ transmissions, 30 km/h

    800 - 825

    53/10

    5.3

    875

    47/8

    5.875

    PowrQuad™ and PowrQuad™ PLUS transmissions, 16/16, 30 km/h

    800 - 825

    53/10

    5.3

    875

    47/8

    5.875

    PowrQuad™, PowrQuad™ PLUS and AutoQuad PLUS transmissions, 24/24, 40 km/h

    800 - 825

    53/10

    5.3

    875

    47/8

    5.875

  2. The transmission ratio of the front axle is “I2”. This figure is displayed on the front axle serial number plate. The following ratios are possible:

    Transmission ratio of front axle ..............

    “I2”

    Transmission

    SRI

    		  

    SyncroPlus™/PowrReverser™ transmissions, 30 km/h

    600 - 650

    800 - 825

    15.692

    650 - 675

    875

    17.500

    PowrQuad™ and PowrQuad™ PLUS transmissions, 16/16, 30 km/h

    600 - 650

    800 - 825

    15.692

    650 - 675

    875

    17.500

    PowrQuad™, PowrQuad™ PLUS and AutoQuad PLUS transmissions, 24/24, 40 km/h

    600 - 650

    800 - 825

    15.692

    650 - 675

    875

    17.500

  3. The transmission ratio of gear pair for front-wheel drive axle output is “I”. These values are displayed on the product information plate on the left side of the radiator. The following pairs are possible:

    Transmission ratio of front-wheel drive axle output “I”

    • 1.373

    • 1.491

    • 1.615

    • 1.750

    • 1.406

    • 1.522

    • 1.648

    • 1.784

    • 1.436

    • 1.553

    • 1.683

    • 1.826

    • 1.466

    • 1.583

    • 1.716

    • 1.861

Ascertain tire data:

  1. Select tires with suitable load capacity.

  2. Select tires appropriate for the tractor's top speed.

  3. From the manual, ascertain the rolling circumference of the tire desired for the rear wheel.

  4. From the manual, ascertain the rolling circumference of the tire desired for the front wheel.

Ascertain the following data:

Calculate the overall transmission ratio using the following formula.

 

I =

A1 x I1 x I3 x 100

 

A2 x I2 x 102.75

A1 =

Rolling circumference of front tires

A2 =

Rolling circumference of rear tires

I1 =

Rear axle ratio is  7.0714 

I2 =

Transmission ratio of front axle

I3 =

Ratio of the differential gear pair

102.75 =

A fixed value to determine the required front wheel lead

Ascertain the gear pair that is appropriate for the calculated overall transmission ratio.

Calculated
transmission ratio “I”

Transmission ratio of the
required gear pair

(corresponds to a positive front wheel lead of 1.5 - 4.0%)

(corresponds to desired average value of positive front wheel lead)

1.356 — 1.390

1.373

1.391 — 1.421

1.406

1.422 — 1.451

1.436

1.452 — 1.479

1.466

1.480 — 1.505

1.491

1.506 — 1.538

1.522

1.539 — 1.566

1.553

1.567 — 1.598

1.583

1.599 — 1.630

1.615

1.631 — 1.664

1.648

1.665 — 1.700

1.683

1.701 — 1.733

1.716

1.734 — 1.767

1.750

1.768 — 1.804

1.784

1.805 — 1.843

1.826

1.844 — 1.884

1.861

Sample calculation

The intention is to fit a tractor with 460/85R38 and 380/85R28 tires, made by a certain manufacturer.

  1. The transmission ratio of differential gear pair “I3” is  5.3 .

  2. The transmission ratio of front axle “I2” is  15.692 .

  3. The transmission ratio of rear axle ”I1” is  7.0714 .

  4. The transmission ratio of currently installed gear pair “I” for front-wheel drive axle output is 1.648.

  5. The rolling circumference of tire “A2” on the rear wheel is  5280  mm (207.1 in.)

  6. The rolling circumference of tire “A1” on the front wheel is  4050  mm (159.1 in.).

  7. Calculate the overall transmission ratio.

 

4050 x 7.0714 x 5.3 x 100

= 1.783

5280 x 15.692 x 102.75

The required gear pair must have the transmission ratio 1.784.

IMPORTANT: In this example, the gear pair that is currently installed for front-wheel drive axle output must be replaced with a different pair.

IMPORTANT: If the transmission ratio is changed, the following services must be performed by a John Deere™ dealer:

  • Change the gear pair for the front-wheel drive output
  • Change tire size in the software of the control units
  • Replace oil sight glass

OULXA64,0002C62-19-20130301