Rack and Pinion Gearbox

Gearbox with helical toothed racks and helical pinion. This gearbox has a 5:1 ratio and there is no free clearance / backslash. Helical teeth on the rack allow fast movement and quiet long-term operation without vibrations.

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Description

  Details


 

GEARBOX is supplied with:

  • Gearbox with a 90-tooth HTD 5M pulley and a helical pinion
  • HTD 550-5M timing belt
  • 18-tooth HTD 5M motor pulley with a ø14 mm mounting bore

 

 

 

 

 

GEARBOX 5:1 Motor-to-Pinion Reduction (NEMA34 Mounting Example)

Compact gear reducer designed for CNC router applications. It features a 5:1 motor-to-pinion reduction ratio, meaning that the motor rotates five times for one complete revolution of the pinion. The gearbox supports direct mounting of a NEMA34 stepper motor and provides stable torque transmission and improved motion control for both hobby-grade and professional CNC systems.

 

 

Rack Gears

The rack gears are available in two versions: a light-gray plain-steel version and a black-oxide version with additional corrosion protection. Both versions are made from quenched and tempered steel.

The light-gray version is the most popular because it integrates visually with most machine designs. Rack gears should be lubricated during operation to reduce wear and help protect the surface against corrosion.

The racks are supplied only in complete 960 mm lengths; cut-to-length service is not available. The rack bars are precision-milled and externally ground. Normal module: 1.5. Pressure angle: 20°. Helix angle: 19°31’42”.

 

Opposite Tooth Gauge

The Opposite Tooth Gauge is a short alignment rack used when assembling helical rack sections. Its teeth are cut in the opposite helix direction, allowing it to engage both adjoining rack sections during installation. This helps maintain accurate tooth continuity across the joint and reduces assembly time.

 


 Helical vs Spur Gears


  • Due to its progressive contact, process performance is smoother and produces less noise. Dynamical loads are also reduced.
  • This type of gears can work at higher speeds than spur gears.
  • The contact ratio is also higher.
  • The transmitted load is spread along an angled line making bending loads smaller.
  • Tooth wear is reduced and they can transmit more power than spur gears with teeth of the same size.

SPUR GEARHELICAL GEAR
pinion spurpinion helical
In case of spur gear, teeth are parallel to the axis of the gear.In case of helical gear, teeth are inclined with the gear axis in the form of a helix. This angle of inclination is known as helix angle (15° – 25°).
In spur gear drive, contact between teeth of two meshing gears occurs suddenly.In helical gear drive, contact between teeth of meshing gears occurs gradually.
Here the contact between two meshing teeth is always a line of same length.Here contact starts with a point, gradually becomes a line and leaves as a point.
Sudden engagement of teeth results in impact loading. So teeth are subjected to impact loading.Due to gradual teeth engagement, load on the tooth builds up gradually. So teeth are subjected to gradual loading.
Impact loading caused by sudden tooth engagement results in greater vibration and noise.Gradual tooth engagement provides smoother and quieter operation.
Spur gears generally have a lower contact ratio under comparable conditions.Helical gears generally have a higher contact ratio, so the load is shared by more teeth under comparable conditions.
Service life depends on load, speed, lubrication, alignment, material, and manufacturing quality.Under comparable conditions, the higher contact ratio of helical gears can reduce tooth loading and may extend service life.
Mating spur gears must have the same module and pressure angle.Mating helical gears must have the same normal module, pressure angle, and helix-angle magnitude, with opposite helix hands for parallel shafts.
Spur gears are suitable for low to moderate speed applications.Helical gears can be utilized at high speed also.
Spur gear drive produces only radial force. As the teeth are parallel to axis, the thrust force is zero.Due to presence of helix angle, helical gear drive produces radial as well as thrust force. So the bearing must be capable of sustaining such thrust force.
Spur gears are a simple and efficient choice where noise and vibration are less critical.Helical gears are preferred where smoother engagement, lower noise, and higher contact ratio are important.

 Dimensions


rack and pinion gearbox dimensions

HTD 5M big pulley (90 teeth)

rack and pinion gearbox dimensions pulley

HTD 5M small pulley for stepper motor / mounting hole ø14mm (18 teeth)

rack and pinion gearbox 3d model rack and pinion gearbox model
DOWNLOAD 3D MODEL 3D Model / IGES / Rhino 3D / STEP / Parasolid

 Helical Tooth Rack and Pinion


Normal ModulePressure AngleTooth AngleHelical Gear
number of teeth
Rack / Pinion Helix HandPitch per tooth*LA0BI D D1L1AC1C2EA1SKU
1.520°19°31’42”23Right-hand rack / left-hand pinion5.000 mm9602020120603090086.8118.818.41145002
pinionrack and pinion gearbox dimensions rack
Pictures, dimensions , table data and technical drawings of this product are made with reasonable care and liability is excluded for the accuracy and correctness of this data.

*Nominal pitch calculation: For a helical rack with normal module 1.5 and a helix angle of 19°31’42”, the transverse pitch along the rack axis is approximately 5.000 mm per tooth. A 23-tooth pinion therefore produces a nominal linear movement of 23 × 5.000 = 115.000 mm per complete pinion revolution. Manufacturing tolerances, belt compliance, backlash, assembly alignment, and controller settings can affect actual travel, so the finished machine should be calibrated by measuring movement over the longest practical distance.


Example: calculating stepper-motor pulses per millimeter of axis movement

 

 

The motor-to-pinion reduction ratio is 5:1. The 90-tooth HTD 5M pulley is driven by the 18-tooth motor pulley: 90 / 18 = 5. Therefore, the motor rotates five times for one complete revolution of the pinion.

The nominal linear movement of the 23-tooth helical pinion is 115.000 mm per complete pinion revolution.

Formula:

(Controller pulses per motor revolution × reduction ratio) / pinion movement per revolution = steps per mm

  • (200 × 5) / 115.000 = 8.695652 steps/mm — 200 pulses per motor revolution, full-step mode
  • (400 × 5) / 115.000 = 17.391304 steps/mm — 400 pulses per motor revolution, half-step mode
  • (800 × 5) / 115.000 = 34.782609 steps/mm — 800 pulses per motor revolution, 1/4 microstepping

Important: Microstepping increases command resolution but does not by itself guarantee equivalent mechanical positioning accuracy. Final calibration should be performed on the assembled machine.

 

 

Microstep DivisionPulses per Motor RevolutionSteps per mm
1 (full step)2008.69565217
240017.39130435
480034.78260870
5100043.47826087
8160069.56521739
10200086.95652174
163200139.13043478
204000173.91304348
255000217.39130435
326400278.26086957
408000347.82608696
5010000434.78260870
6412800556.52173913
10020000869.56521739
128256001113.04347826
200400001739.13043478
256512002226.08695652

The table above shows the nominal steps-per-mm values for common stepper-driver microstep settings, based on a 200-step motor, a 5:1 motor-to-pinion reduction ratio, and 115.000 mm of pinion travel per revolution.

 

 

Mach3 interface example: for 400 pulses per motor revolution, enter 17.3913 steps per mm. The value visible in the older screenshot should not be used.

 


  Pinion Gearbox



 

 

 

 

 

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